[0b990d] | 1 | //
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| 2 | // distsymm.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 <iostream>
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| 29 | #include <math.h>
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| 30 |
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| 31 | #include <util/misc/formio.h>
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| 32 | #include <util/keyval/keyval.h>
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| 33 | #include <math/scmat/dist.h>
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| 34 | #include <math/scmat/cmatrix.h>
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| 35 | #include <math/scmat/elemop.h>
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| 36 | #include <math/scmat/disthql.h>
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| 37 |
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| 38 | using namespace std;
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| 39 | using namespace sc;
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| 40 |
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| 41 | extern "C" { int DBmalloc_chain_check(const char *, int, int); }
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| 42 |
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| 43 | /////////////////////////////////////////////////////////////////////////////
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| 44 | // DistSymmSCMatrix member functions
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| 45 |
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| 46 | static ClassDesc DistSymmSCMatrix_cd(
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| 47 | typeid(DistSymmSCMatrix),"DistSymmSCMatrix",1,"public SymmSCMatrix",
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| 48 | 0, 0, 0);
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| 49 |
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| 50 | DistSymmSCMatrix::DistSymmSCMatrix(const RefSCDimension&a,DistSCMatrixKit*k):
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| 51 | SymmSCMatrix(a,k)
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| 52 | {
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| 53 | init_blocklist();
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| 54 | }
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| 55 |
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| 56 | int
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| 57 | DistSymmSCMatrix::block_to_node(int i, int j) const
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| 58 | {
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| 59 | if (j>i) {
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| 60 | ExEnv::errn() << indent << "DistSymmSCMatrix::block_to_node: j>i" << endl;
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| 61 | abort();
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| 62 | }
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| 63 |
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| 64 | return ((i*(i+1))/2 + j)%messagegrp()->n();
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| 65 | }
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| 66 |
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| 67 | Ref<SCMatrixBlock>
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| 68 | DistSymmSCMatrix::block_to_block(int i, int j) const
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| 69 | {
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| 70 | if (j>i) {
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| 71 | ExEnv::errn() << indent << "DistSymmSCMatrix::block_to_block: j>i" << endl;
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| 72 | abort();
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| 73 | }
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| 74 |
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| 75 | int offset = (i*(i+1))/2 + j;
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| 76 | int nproc = messagegrp()->n();
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| 77 |
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| 78 | if ((offset%nproc) != messagegrp()->me()) return 0;
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| 79 |
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| 80 | SCMatrixBlockListIter I;
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| 81 | for (I=blocklist->begin(); I!=blocklist->end(); I++) {
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| 82 | if (I.block()->blocki == i && I.block()->blockj == j)
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| 83 | return I.block();
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| 84 | }
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| 85 |
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| 86 | ExEnv::errn() << indent << "DistSymmSCMatrix::block_to_block: internal error" << endl;
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| 87 | abort();
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| 88 | return 0;
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| 89 | }
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| 90 |
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| 91 | double *
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| 92 | DistSymmSCMatrix::find_element(int i, int j) const
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| 93 | {
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| 94 | if (j>i) {
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| 95 | int tmp = i; i=j; j=tmp;
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| 96 | }
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| 97 |
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| 98 | int bi, oi;
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| 99 | d->blocks()->elem_to_block(i, bi, oi);
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| 100 |
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| 101 | int bj, oj;
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| 102 | d->blocks()->elem_to_block(j, bj, oj);
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| 103 |
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| 104 | Ref<SCMatrixBlock> ablk = block_to_block(bi, bj);
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| 105 | if (ablk.nonnull()) {
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| 106 | if (bi != bj) {
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| 107 | Ref<SCMatrixRectBlock> blk
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| 108 | = dynamic_cast<SCMatrixRectBlock*>(ablk.pointer());
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| 109 | if (blk.null()) return 0;
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| 110 | return &blk->data[oi*(blk->jend-blk->jstart)+oj];
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| 111 | }
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| 112 | else {
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| 113 | Ref<SCMatrixLTriBlock> blk
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| 114 | = dynamic_cast<SCMatrixLTriBlock*>(ablk.pointer());
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| 115 | if (blk.null()) return 0;
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| 116 | return &blk->data[(oi*(oi+1))/2+oj];
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| 117 | }
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| 118 | }
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| 119 | return 0;
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| 120 | }
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| 121 |
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| 122 | int
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| 123 | DistSymmSCMatrix::element_to_node(int i, int j) const
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| 124 | {
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| 125 | if (j>i) {
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| 126 | int tmp = i; i=j; j=tmp;
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| 127 | }
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| 128 |
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| 129 | int bi, oi;
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| 130 | d->blocks()->elem_to_block(i, bi, oi);
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| 131 |
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| 132 | int bj, oj;
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| 133 | d->blocks()->elem_to_block(j, bj, oj);
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| 134 |
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| 135 | return block_to_node(bi,bj);
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| 136 | }
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| 137 |
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| 138 | void
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| 139 | DistSymmSCMatrix::init_blocklist()
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| 140 | {
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| 141 | int i, j, index;
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| 142 | int nproc = messagegrp()->n();
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| 143 | int me = messagegrp()->me();
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| 144 | SCMatrixBlock *b;
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| 145 | blocklist = new SCMatrixBlockList;
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| 146 | for (i=0, index=0; i<d->blocks()->nblock(); i++) {
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| 147 | for (j=0; j<i; j++, index++) {
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| 148 | if (index%nproc != me) continue;
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| 149 | b = new SCMatrixRectBlock(d->blocks()->start(i),
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| 150 | d->blocks()->fence(i),
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| 151 | d->blocks()->start(j),
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| 152 | d->blocks()->fence(j));
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| 153 | b->blocki = i;
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| 154 | b->blockj = j;
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| 155 | blocklist->insert(b);
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| 156 | }
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| 157 | if (index%nproc == me) {
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| 158 | b = new SCMatrixLTriBlock(d->blocks()->start(i),
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| 159 | d->blocks()->fence(i));
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| 160 | b->blocki = i;
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| 161 | b->blockj = i;
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| 162 | blocklist->insert(b);
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| 163 | }
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| 164 | index++;
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| 165 | }
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| 166 | }
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| 167 |
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| 168 | DistSymmSCMatrix::~DistSymmSCMatrix()
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| 169 | {
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| 170 | }
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| 171 |
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| 172 | double
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| 173 | DistSymmSCMatrix::get_element(int i,int j) const
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| 174 | {
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| 175 | double res;
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| 176 | double *e = find_element(i,j);
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| 177 | if (e) {
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| 178 | res = *e;
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| 179 | messagegrp()->bcast(res, messagegrp()->me());
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| 180 | }
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| 181 | else {
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| 182 | messagegrp()->bcast(res, element_to_node(i, j));
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| 183 | }
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| 184 | return res;
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| 185 | }
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| 186 |
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| 187 | void
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| 188 | DistSymmSCMatrix::set_element(int i,int j,double a)
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| 189 | {
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| 190 | double *e = find_element(i,j);
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| 191 | if (e) {
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| 192 | *e = a;
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| 193 | }
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| 194 | }
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| 195 |
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| 196 | void
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| 197 | DistSymmSCMatrix::accumulate_element(int i,int j,double a)
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| 198 | {
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| 199 | double *e = find_element(i,j);
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| 200 | if (e) {
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| 201 | *e += a;
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| 202 | }
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| 203 | }
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| 204 |
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| 205 | SymmSCMatrix *
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| 206 | DistSymmSCMatrix::get_subblock(int br, int er)
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| 207 | {
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| 208 | error("get_subblock");
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| 209 | return 0;
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| 210 | }
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| 211 |
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| 212 | SCMatrix *
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| 213 | DistSymmSCMatrix::get_subblock(int, int, int, int)
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| 214 | {
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| 215 | error("get_subblock");
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| 216 | return 0;
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| 217 | }
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| 218 |
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| 219 | void
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| 220 | DistSymmSCMatrix::assign_subblock(SCMatrix*sb, int br, int er, int bc, int ec)
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| 221 | {
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| 222 | error("assign_subblock");
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| 223 | }
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| 224 |
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| 225 | void
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| 226 | DistSymmSCMatrix::assign_subblock(SymmSCMatrix*sb, int br, int er)
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| 227 | {
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| 228 | error("accumulate_subblock");
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| 229 | }
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| 230 |
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| 231 | void
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| 232 | DistSymmSCMatrix::accumulate_subblock(SCMatrix*sb, int br, int er, int bc, int ec)
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| 233 | {
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| 234 | error("accumulate_subblock");
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| 235 | }
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| 236 |
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| 237 | void
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| 238 | DistSymmSCMatrix::accumulate_subblock(SymmSCMatrix*sb, int br, int er)
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| 239 | {
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| 240 | error("accumulate_subblock");
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| 241 | }
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| 242 |
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| 243 | SCVector *
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| 244 | DistSymmSCMatrix::get_row(int i)
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| 245 | {
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| 246 | error("get_row");
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| 247 | return 0;
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| 248 | }
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| 249 |
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| 250 | void
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| 251 | DistSymmSCMatrix::assign_row(SCVector *v, int i)
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| 252 | {
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| 253 | error("assign_row");
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| 254 | }
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| 255 |
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| 256 | void
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| 257 | DistSymmSCMatrix::accumulate_row(SCVector *v, int i)
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| 258 | {
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| 259 | error("accumulate_row");
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| 260 | }
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| 261 |
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| 262 | void
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| 263 | DistSymmSCMatrix::accumulate(const SymmSCMatrix*a)
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| 264 | {
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| 265 | // make sure that the arguments is of the correct type
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| 266 | const DistSymmSCMatrix* la
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| 267 | = require_dynamic_cast<const DistSymmSCMatrix*>(a,"DistSymmSCMatrix::accumulate");
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| 268 |
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| 269 | // make sure that the dimensions match
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| 270 | if (!dim()->equiv(la->dim())) {
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| 271 | ExEnv::errn() << indent << "DistSymmSCMatrix::accumulate(SCMatrix*a): "
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| 272 | << "dimensions don't match\n";
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| 273 | abort();
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| 274 | }
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| 275 |
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| 276 | SCMatrixBlockListIter i1, i2;
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| 277 | for (i1=la->blocklist->begin(),i2=blocklist->begin();
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| 278 | i1!=la->blocklist->end() && i2!=blocklist->end();
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| 279 | i1++,i2++) {
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| 280 | int n = i1.block()->ndat();
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| 281 | if (n != i2.block()->ndat()) {
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| 282 | ExEnv::errn() << indent
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| 283 | << "DistSymmSCMatrixListSubblockIter::accumulate block "
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| 284 | << "mismatch: internal error" << endl;
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| 285 | abort();
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| 286 | }
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| 287 | double *dat1 = i1.block()->dat();
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| 288 | double *dat2 = i2.block()->dat();
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| 289 | for (int i=0; i<n; i++) {
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| 290 | dat2[i] += dat1[i];
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| 291 | }
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| 292 | }
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| 293 | }
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| 294 |
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| 295 | double
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| 296 | DistSymmSCMatrix::invert_this()
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| 297 | {
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| 298 | RefDiagSCMatrix refa = kit()->diagmatrix(d);
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| 299 | RefSCMatrix refb = kit()->matrix(d,d);
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| 300 | diagonalize(refa.pointer(),refb.pointer());
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| 301 | double determ = 1.0;
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| 302 | for (int i=0; i<dim()->n(); i++) {
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| 303 | double val = refa->get_element(i);
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| 304 | determ *= val;
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| 305 | }
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| 306 | Ref<SCElementOp> op = new SCElementInvert(1.0e-12);
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| 307 | refa->element_op(op.pointer());
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| 308 | assign(0.0);
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| 309 | accumulate_transform(refb.pointer(), refa.pointer());
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| 310 | return determ;
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| 311 | }
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| 312 |
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| 313 | double
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| 314 | DistSymmSCMatrix::determ_this()
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| 315 | {
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| 316 | return invert_this();
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| 317 | }
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| 318 |
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| 319 | double
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| 320 | DistSymmSCMatrix::trace()
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| 321 | {
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| 322 | double ret=0.0;
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| 323 | Ref<SCMatrixSubblockIter> I = local_blocks(SCMatrixSubblockIter::Read);
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| 324 | for (I->begin(); I->ready(); I->next()) {
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| 325 | Ref<SCMatrixLTriBlock> b = dynamic_cast<SCMatrixLTriBlock*>(I->block());
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| 326 | if (b.nonnull() && b->blocki == b->blockj) {
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| 327 | int ni = b->end-b->start;
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| 328 | double *data = b->data;
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| 329 | for (int i=0; i<ni; i++) {
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| 330 | data += i;
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| 331 | ret += *data;
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| 332 | }
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| 333 | }
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| 334 | }
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| 335 | messagegrp()->sum(ret);
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| 336 |
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| 337 | return ret;
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| 338 | }
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| 339 |
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| 340 | double
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| 341 | DistSymmSCMatrix::solve_this(SCVector*v)
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| 342 | {
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| 343 | DistSCVector* lv =
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| 344 | require_dynamic_cast<DistSCVector*>(v,"DistSymmSCMatrix::solve_this");
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| 345 |
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| 346 | // make sure that the dimensions match
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| 347 | if (!dim()->equiv(lv->dim())) {
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| 348 | ExEnv::errn() << indent << "DistSymmSCMatrix::solve_this(SCVector*v): "
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| 349 | << "dimensions don't match\n";
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| 350 | abort();
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| 351 | }
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| 352 |
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| 353 | error("no solve this");
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| 354 |
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| 355 | return 0.0;
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| 356 | }
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| 357 |
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| 358 | void
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| 359 | DistSymmSCMatrix::gen_invert_this()
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| 360 | {
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| 361 | invert_this();
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| 362 | }
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| 363 |
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| 364 | void
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| 365 | DistSymmSCMatrix::diagonalize(DiagSCMatrix*a,SCMatrix*b)
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| 366 | {
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| 367 | const char* name = "DistSymmSCMatrix::diagonalize";
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| 368 | // make sure that the argument are of the correct type
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| 369 | require_dynamic_cast<DistDiagSCMatrix*>(a,name);
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| 370 | DistSCMatrix* lb = require_dynamic_cast<DistSCMatrix*>(b,name);
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| 371 |
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| 372 | int n = dim()->n();
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| 373 | int me = messagegrp()->me();
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| 374 | int nproc = messagegrp()->n();
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| 375 |
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| 376 | RefSCMatrix arect = kit()->matrix(dim(),dim());
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| 377 | DistSCMatrix *rect = dynamic_cast<DistSCMatrix*>(arect.pointer());
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| 378 | rect->assign(0.0);
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| 379 | rect->accumulate(this);
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| 380 |
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| 381 | // This sets up the index list of columns to be stored on this node
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| 382 | int nvec = n/nproc + (me<(n%nproc)?1:0);
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| 383 | int *ivec = new int[nvec];
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| 384 | for (int i=0; i<nvec; i++) {
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| 385 | ivec[i] = i*nproc + me;
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| 386 | }
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| 387 |
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| 388 | rect->create_vecform(DistSCMatrix::Col,nvec);
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| 389 | rect->vecform_op(DistSCMatrix::CopyToVec,ivec);
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| 390 | lb->create_vecform(DistSCMatrix::Col,nvec);
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| 391 |
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| 392 | double *d = new double[n];
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| 393 | dist_diagonalize(n, rect->nvec, rect->vec[0], d, lb->vec[0],
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| 394 | messagegrp());
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| 395 |
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| 396 | // put d into the diagonal matrix
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| 397 | a->assign(d);
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| 398 |
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| 399 | lb->vecform_op(DistSCMatrix::CopyFromVec, ivec);
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| 400 | lb->delete_vecform();
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| 401 | rect->delete_vecform();
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| 402 | arect = 0;
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| 403 | delete[] ivec;
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| 404 | }
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| 405 |
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| 406 | // computes this += a + a.t
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| 407 | void
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| 408 | DistSymmSCMatrix::accumulate_symmetric_sum(SCMatrix*a)
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| 409 | {
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| 410 | // make sure that the argument is of the correct type
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| 411 | DistSCMatrix* la
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| 412 | = require_dynamic_cast<DistSCMatrix*>(a,"DistSymmSCMatrix::"
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| 413 | "accumulate_symmetric_sum");
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| 414 |
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| 415 | if (!dim()->equiv(la->rowdim()) || !dim()->equiv(la->coldim())) {
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| 416 | ExEnv::errn() << indent << "DistSymmSCMatrix::"
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| 417 | << "accumulate_symmetric_sum(SCMatrix*a): bad dim\n";
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| 418 | abort();
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| 419 | }
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| 420 |
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| 421 | Ref<SCMatrixSubblockIter> I = all_blocks(SCMatrixSubblockIter::Accum);
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| 422 | for (I->begin(); I->ready(); I->next()) {
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| 423 | Ref<SCMatrixBlock> block = I->block();
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| 424 | // see if i've got this block
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| 425 | Ref<SCMatrixBlock> localblock
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| 426 | = la->block_to_block(block->blocki,block->blockj);
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| 427 | if (localblock.nonnull()) {
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| 428 | // the diagonal blocks require special handling
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| 429 | if (block->blocki == block->blockj) {
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| 430 | int n = la->rowblocks()->size(block->blocki);
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| 431 | double *dat1 = block->dat();
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| 432 | double *dat2 = localblock->dat();
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| 433 | for (int i=0; i<n; i++) {
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| 434 | for (int j=0; j<=i; j++) {
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| 435 | double tmp = 0.0;
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| 436 | tmp += dat2[i*n+j];
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| 437 | tmp += dat2[j*n+i];
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| 438 | *dat1 += tmp;
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| 439 | dat1++;
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| 440 | }
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| 441 | }
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| 442 | }
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| 443 | else {
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| 444 | int n = block->ndat();
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| 445 | double *dat1 = block->dat();
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| 446 | double *dat2 = localblock->dat();
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| 447 | for (int i=0; i<n; i++) {
|
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| 448 | dat1[i] += dat2[i];
|
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| 449 | }
|
---|
| 450 | }
|
---|
| 451 | }
|
---|
| 452 | // now for the transpose
|
---|
| 453 | if (block->blocki != block->blockj) {
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| 454 | localblock = la->block_to_block(block->blockj,block->blocki);
|
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| 455 | if (localblock.nonnull()) {
|
---|
| 456 | int nr = la->rowblocks()->size(block->blocki);
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| 457 | int nc = la->rowblocks()->size(block->blockj);
|
---|
| 458 | double *dat1 = block->dat();
|
---|
| 459 | double *dat2 = localblock->dat();
|
---|
| 460 | for (int i=0; i<nr; i++) {
|
---|
| 461 | for (int j=0; j<nc; j++) {
|
---|
| 462 | *dat1++ += dat2[j*nr+i];
|
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| 463 | }
|
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| 464 | }
|
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| 465 | }
|
---|
| 466 | }
|
---|
| 467 | }
|
---|
| 468 | }
|
---|
| 469 |
|
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| 470 | void
|
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| 471 | DistSymmSCMatrix::element_op(const Ref<SCElementOp>& op)
|
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| 472 | {
|
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| 473 | SCMatrixBlockListIter i;
|
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| 474 | for (i = blocklist->begin(); i != blocklist->end(); i++) {
|
---|
| 475 | op->process_base(i.block());
|
---|
| 476 | }
|
---|
| 477 | if (op->has_collect()) op->collect(messagegrp());
|
---|
| 478 | }
|
---|
| 479 |
|
---|
| 480 | void
|
---|
| 481 | DistSymmSCMatrix::element_op(const Ref<SCElementOp2>& op,
|
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| 482 | SymmSCMatrix* m)
|
---|
| 483 | {
|
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| 484 | DistSymmSCMatrix *lm
|
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| 485 | = require_dynamic_cast<DistSymmSCMatrix*>(m,"DistSymSCMatrix::element_op");
|
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| 486 |
|
---|
| 487 | if (!dim()->equiv(lm->dim())) {
|
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| 488 | ExEnv::errn() << indent << "DistSymmSCMatrix: bad element_op\n";
|
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| 489 | abort();
|
---|
| 490 | }
|
---|
| 491 | SCMatrixBlockListIter i, j;
|
---|
| 492 | for (i = blocklist->begin(), j = lm->blocklist->begin();
|
---|
| 493 | i != blocklist->end();
|
---|
| 494 | i++, j++) {
|
---|
| 495 | op->process_base(i.block(), j.block());
|
---|
| 496 | }
|
---|
| 497 | if (op->has_collect()) op->collect(messagegrp());
|
---|
| 498 | }
|
---|
| 499 |
|
---|
| 500 | void
|
---|
| 501 | DistSymmSCMatrix::element_op(const Ref<SCElementOp3>& op,
|
---|
| 502 | SymmSCMatrix* m,SymmSCMatrix* n)
|
---|
| 503 | {
|
---|
| 504 | DistSymmSCMatrix *lm
|
---|
| 505 | = require_dynamic_cast<DistSymmSCMatrix*>(m,"DistSymSCMatrix::element_op");
|
---|
| 506 | DistSymmSCMatrix *ln
|
---|
| 507 | = require_dynamic_cast<DistSymmSCMatrix*>(n,"DistSymSCMatrix::element_op");
|
---|
| 508 |
|
---|
| 509 | if (!dim()->equiv(lm->dim()) || !dim()->equiv(ln->dim())) {
|
---|
| 510 | ExEnv::errn() << indent << "DistSymmSCMatrix: bad element_op\n";
|
---|
| 511 | abort();
|
---|
| 512 | }
|
---|
| 513 | SCMatrixBlockListIter i, j, k;
|
---|
| 514 | for (i = blocklist->begin(),
|
---|
| 515 | j = lm->blocklist->begin(),
|
---|
| 516 | k = ln->blocklist->begin();
|
---|
| 517 | i != blocklist->end();
|
---|
| 518 | i++, j++, k++) {
|
---|
| 519 | op->process_base(i.block(), j.block(), k.block());
|
---|
| 520 | }
|
---|
| 521 | if (op->has_collect()) op->collect(messagegrp());
|
---|
| 522 | }
|
---|
| 523 |
|
---|
| 524 | Ref<SCMatrixSubblockIter>
|
---|
| 525 | DistSymmSCMatrix::local_blocks(SCMatrixSubblockIter::Access access)
|
---|
| 526 | {
|
---|
| 527 | return new SCMatrixListSubblockIter(access, blocklist);
|
---|
| 528 | }
|
---|
| 529 |
|
---|
| 530 | Ref<SCMatrixSubblockIter>
|
---|
| 531 | DistSymmSCMatrix::all_blocks(SCMatrixSubblockIter::Access access)
|
---|
| 532 | {
|
---|
| 533 | return new DistSCMatrixListSubblockIter(access, blocklist, messagegrp());
|
---|
| 534 | }
|
---|
| 535 |
|
---|
| 536 | void
|
---|
| 537 | DistSymmSCMatrix::error(const char *msg)
|
---|
| 538 | {
|
---|
| 539 | ExEnv::errn() << "DistSymmSCMatrix: error: " << msg << endl;
|
---|
| 540 | }
|
---|
| 541 |
|
---|
| 542 | Ref<DistSCMatrixKit>
|
---|
| 543 | DistSymmSCMatrix::skit()
|
---|
| 544 | {
|
---|
| 545 | return dynamic_cast<DistSCMatrixKit*>(kit().pointer());
|
---|
| 546 | }
|
---|
| 547 |
|
---|
| 548 | void
|
---|
| 549 | DistSymmSCMatrix::convert_accumulate(SymmSCMatrix*a)
|
---|
| 550 | {
|
---|
| 551 | SymmSCMatrix::convert_accumulate(a);
|
---|
| 552 |
|
---|
| 553 | #if 0
|
---|
| 554 | DistSymmSCMatrix *d = require_dynamic_cast<DistSymmSCMatrix*>(a,
|
---|
| 555 | "DistSymmSCMatrix::convert_accumulate");
|
---|
| 556 |
|
---|
| 557 | SCMatrixBlockListIter i, j;
|
---|
| 558 | for (i = blocklist->begin(), j = d->blocklist->begin();
|
---|
| 559 | i != blocklist->end();
|
---|
| 560 | i++, j++) {
|
---|
| 561 | }
|
---|
| 562 | #endif
|
---|
| 563 | }
|
---|
| 564 |
|
---|
| 565 | /////////////////////////////////////////////////////////////////////////////
|
---|
| 566 |
|
---|
| 567 | // Local Variables:
|
---|
| 568 | // mode: c++
|
---|
| 569 | // c-file-style: "CLJ"
|
---|
| 570 | // End:
|
---|