3#ifndef DUNE_ISTL_ILU_HH
4#define DUNE_ISTL_ILU_HH
16#include "istlexception.hh"
39 typedef typename M::RowIterator rowiterator;
40 typedef typename M::ColIterator coliterator;
41 typedef typename M::block_type block;
44 rowiterator endi=A.
end();
45 for (rowiterator i=A.
begin(); i!=endi; ++i)
48 coliterator endij=(*i).end();
52 for (ij=(*i).begin(); ij.index()<i.index(); ++ij)
55 coliterator jj = A[ij.index()].find(ij.index());
58 (*ij).rightmultiply(*jj);
61 coliterator endjk=A[ij.index()].
end();
62 coliterator jk=jj; ++jk;
63 coliterator ik=ij; ++ik;
64 while (ik!=endij && jk!=endjk)
65 if (ik.index()==jk.index())
74 if (ik.index()<jk.index())
82 if (ij.index()!=i.index())
88 DUNE_THROW(MatrixBlockError,
"ILU failed to invert matrix block A["
89 << i.index() <<
"][" << ij.index() <<
"]" << e.
what();
90 th__ex.r=i.index(); th__ex.c=ij.index(););
96 template<
class M,
class X,
class Y>
100 typedef typename M::ConstRowIterator rowiterator;
101 typedef typename M::ConstColIterator coliterator;
102 typedef typename Y::block_type dblock;
103 typedef typename X::block_type vblock;
106 rowiterator endi=A.
end();
107 for (rowiterator i=A.
begin(); i!=endi; ++i)
109 dblock rhs(d[i.index()]);
110 for (coliterator j=(*i).begin(); j.index()<i.index(); ++j)
111 (*j).mmv(v[j.index()],rhs);
117 for (rowiterator i=A.
beforeEnd(); i!=rendi; --i)
119 vblock rhs(v[i.index()]);
121 for (j=(*i).beforeEnd(); j.index()>i.index(); --j)
122 (*j).mmv(v[j.index()],rhs);
124 (*j).umv(rhs,v[i.index()]);
132 typename M::field_type& firstmatrixelement (M& A)
134 return firstmatrixelement(*(A.
begin()->begin()));
137 template<
class K,
int n,
int m>
138 K& firstmatrixelement (FieldMatrix<K,n,m>& A)
144 K& firstmatrixelement (FieldMatrix<K,1,1>& A)
160 typedef typename M::ColIterator coliterator;
161 typedef typename M::ConstRowIterator crowiterator;
162 typedef typename M::ConstColIterator ccoliterator;
163 typedef typename M::CreateIterator createiterator;
164 typedef typename M::field_type K;
165 typedef std::map<size_t, int> map;
166 typedef typename map::iterator mapiterator;
169 crowiterator endi=A.
end();
170 createiterator ci=ILU.createbegin();
171 for (crowiterator i=A.
begin(); i!=endi; ++i)
177 for (ccoliterator j=(*i).begin(); j!=(*i).end(); ++j)
178 rowpattern[j.index()] = 0;
181 for (mapiterator ik=rowpattern.begin(); (*ik).first<i.index(); ++ik)
188 coliterator endk = ILU[(*ik).first].end();
189 coliterator kj = ILU[(*ik).first].find((*ik).first);
190 for (++kj; kj!=endk; ++kj)
195 int generation = (int) real( firstmatrixelement(*kj) );
198 mapiterator ij = rowpattern.find(kj.index());
199 if (ij==rowpattern.end())
204 rowpattern[kj.index()] = generation+1;
212 for (mapiterator ik=rowpattern.begin(); ik!=rowpattern.end(); ++ik)
213 ci.insert((*ik).first);
217 coliterator endILUij = ILU[i.index()].end();;
218 for (coliterator ILUij=ILU[i.index()].begin(); ILUij!=endILUij; ++ILUij)
219 firstmatrixelement(*ILUij) = (K) rowpattern[ILUij.index()];
225 for (crowiterator i=A.
begin(); i!=endi; ++i)
228 coliterator endILUij = ILU[i.index()].end();;
229 for (ILUij=ILU[i.index()].begin(); ILUij!=endILUij; ++ILUij)
231 ccoliterator Aij = (*i).begin();
232 ccoliterator endAij = (*i).end();
233 ILUij = ILU[i.index()].begin();
234 while (Aij!=endAij && ILUij!=endILUij)
236 if (Aij.index()==ILUij.index())
243 if (Aij.index()<ILUij.index())
260 typedef B block_type;
261 typedef size_t size_type;
263 CRS() : nRows_( 0 ) {}
265 size_type rows()
const {
return nRows_; }
267 size_type nonZeros()
const
269 assert( rows_[ rows() ] != size_type(-1) );
270 return rows_[ rows() ];
273 void resize(
const size_type nRows )
275 if( nRows_ != nRows )
278 rows_.resize( nRows_+1, size_type(-1) );
282 void reserveAdditional(
const size_type nonZeros )
284 const size_type needed = values_.size() + nonZeros ;
285 if( values_.capacity() < needed )
287 const size_type estimate = needed * 1.1;
288 values_.reserve( estimate );
289 cols_.reserve( estimate );
293 void push_back(
const block_type& value,
const size_type index )
295 values_.push_back( value );
296 cols_.push_back( index );
299 std::vector< size_type > rows_;
300 std::vector< block_type > values_;
301 std::vector< size_type > cols_;
306 template<
class M,
class CRS,
class InvVector>
309 typedef typename M :: size_type size_type;
311 lower.resize( A.N() );
312 upper.resize( A.N() );
316 const size_t memEstimate = (A.nonzeroes() - A.N())/2;
318 assert( A.nonzeroes() != 0 );
319 lower.reserveAdditional( memEstimate );
320 upper.reserveAdditional( memEstimate );
322 const auto endi = A.end();
324 size_type colcount = 0;
325 lower.rows_[ 0 ] = colcount;
326 for (
auto i=A.begin(); i!=endi; ++i, ++row)
328 const size_type iIndex = i.index();
331 for (
auto j=(*i).begin(); j.index() < iIndex; ++j )
333 lower.push_back( (*j), j.index() );
336 lower.rows_[ iIndex+1 ] = colcount;
339 const auto rendi = A.beforeBegin();
342 upper.rows_[ 0 ] = colcount ;
346 for (
auto i=A.beforeEnd(); i!=rendi; --i, ++ row )
348 const auto endij=(*i).beforeBegin();
350 const size_type iIndex = i.index();
353 for (
auto j=(*i).beforeEnd(); j != endij; --j )
355 const size_type jIndex = j.index();
356 if( j.index() == iIndex )
361 else if ( j.index() >= i.index() )
363 upper.push_back( (*j), jIndex );
367 upper.rows_[ row+1 ] = colcount;
373 template<
class CRS,
class mblock,
class X,
class Y>
376 const std::vector< mblock >& inv,
380 typedef typename Y :: block_type dblock;
381 typedef typename X :: block_type vblock;
382 typedef typename X :: size_type size_type ;
384 const size_type iEnd = lower.rows();
385 const size_type lastRow = iEnd - 1;
386 if( iEnd != upper.rows() )
392 for( size_type i=0; i<iEnd; ++ i )
394 dblock rhs( d[ i ] );
395 const size_type rowI = lower.rows_[ i ];
396 const size_type rowINext = lower.rows_[ i+1 ];
398 for( size_type col = rowI; col < rowINext; ++ col )
400 lower.values_[ col ].mmv( v[ lower.cols_[ col ] ], rhs );
407 for( size_type i=0; i<iEnd; ++ i )
409 vblock& vBlock = v[ lastRow - i ];
410 vblock rhs ( vBlock );
411 const size_type rowI = upper.rows_[ i ];
412 const size_type rowINext = upper.rows_[ i+1 ];
414 for( size_type col = rowI; col < rowINext; ++ col )
416 upper.values_[ col ].mmv( v[ upper.cols_[ col ] ], rhs );
420 inv[ i ].mv( rhs, vBlock);
Error thrown if operations of a FieldMatrix fail.
Definition: densematrix.hh:146
derive error class from the base class in common
Definition: istlexception.hh:16
RowIterator beforeBegin()
Definition: matrix.hh:629
RowIterator beforeEnd()
Definition: matrix.hh:622
RowIterator end()
Get iterator to one beyond last row.
Definition: matrix.hh:615
RowIterator begin()
Get iterator to first row.
Definition: matrix.hh:609
Implements a matrix constructed from a given type representing a field and compile-time given number ...
const char * what() const noexcept override
output internal message buffer
Definition: exceptions.cc:35
#define DUNE_THROW(E, m)
Definition: exceptions.hh:216
void bilu_backsolve(const M &A, X &v, const Y &d)
LU backsolve with stored inverse.
Definition: ilu.hh:97
void bilu_decomposition(const M &A, int n, M &ILU)
Definition: ilu.hh:157
void bilu0_decomposition(M &A)
compute ILU decomposition of A. A is overwritten by its decomposition
Definition: ilu.hh:36
void convertToCRS(const M &A, CRS &lower, CRS &upper, InvVector &inv)
convert ILU decomposition into CRS format for lower and upper triangular and inverse.
Definition: ilu.hh:307
Dune namespace.
Definition: alignedallocator.hh:10