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authorGravatar Gael Guennebaud <g.gael@free.fr>2012-08-02 18:28:16 +0200
committerGravatar Gael Guennebaud <g.gael@free.fr>2012-08-02 18:28:16 +0200
commit48dc95f1dac25a49bb8168fd5d7d9f49fd7d1a11 (patch)
tree9294ec365dbe4a12e6dc15c995111588a17930e4 /Eigen/src/SparseLU/SparseLU_panel_dfs.h
parent7dc39b703706b56a4a46255dabfeeddf50e76581 (diff)
factorize column_dfs and panel_dfs
Diffstat (limited to 'Eigen/src/SparseLU/SparseLU_panel_dfs.h')
-rw-r--r--Eigen/src/SparseLU/SparseLU_panel_dfs.h278
1 files changed, 159 insertions, 119 deletions
diff --git a/Eigen/src/SparseLU/SparseLU_panel_dfs.h b/Eigen/src/SparseLU/SparseLU_panel_dfs.h
index 79dd4da40..75fbd0b0e 100644
--- a/Eigen/src/SparseLU/SparseLU_panel_dfs.h
+++ b/Eigen/src/SparseLU/SparseLU_panel_dfs.h
@@ -29,6 +29,132 @@
*/
#ifndef SPARSELU_PANEL_DFS_H
#define SPARSELU_PANEL_DFS_H
+
+template <typename ScalarVector, typename IndexVector, typename MarkerType, typename Traits>
+void LU_dfs_kernel(const int jj, IndexVector& perm_r,
+ int& nseg, IndexVector& panel_lsub, IndexVector& segrep,
+ VectorBlock<IndexVector>& repfnz_col, IndexVector& xprune, MarkerType& marker, IndexVector& parent,
+ IndexVector& xplore, LU_GlobalLU_t<IndexVector, ScalarVector>& glu,
+ int& nextl_col, int krow, Traits& traits
+ )
+{
+ IndexVector& xsup = glu.xsup;
+ IndexVector& supno = glu.supno;
+ IndexVector& lsub = glu.lsub;
+ IndexVector& xlsub = glu.xlsub;
+
+ int kmark = marker(krow);
+
+ // For each unmarked krow of jj
+ marker(krow) = jj;
+ int kperm = perm_r(krow);
+ if (kperm == IND_EMPTY ) {
+ // krow is in L : place it in structure of L(*, jj)
+ panel_lsub(nextl_col++) = krow; // krow is indexed into A
+
+ traits.mem_expand(panel_lsub, nextl_col, kmark);
+ }
+ else
+ {
+ // krow is in U : if its supernode-representative krep
+ // has been explored, update repfnz(*)
+ // krep = supernode representative of the current row
+ int krep = xsup(supno(kperm)+1) - 1;
+ // First nonzero element in the current column:
+ int myfnz = repfnz_col(krep);
+
+ if (myfnz != IND_EMPTY )
+ {
+ // Representative visited before
+ if (myfnz > kperm ) repfnz_col(krep) = kperm;
+
+ }
+ else
+ {
+ // Otherwise, perform dfs starting at krep
+ int oldrep = IND_EMPTY;
+ parent(krep) = oldrep;
+ repfnz_col(krep) = kperm;
+ int xdfs = xlsub(krep);
+ int maxdfs = xprune(krep);
+
+ int kpar;
+ do
+ {
+ // For each unmarked kchild of krep
+ while (xdfs < maxdfs)
+ {
+ int kchild = lsub(xdfs);
+ xdfs++;
+ int chmark = marker(kchild);
+
+ if (chmark != jj )
+ {
+ marker(kchild) = jj;
+ int chperm = perm_r(kchild);
+
+ if (chperm == IND_EMPTY)
+ {
+ // case kchild is in L: place it in L(*, j)
+ panel_lsub(nextl_col++) = kchild;
+ traits.mem_expand(panel_lsub, nextl_col, chmark);
+ }
+ else
+ {
+ // case kchild is in U :
+ // chrep = its supernode-rep. If its rep has been explored,
+ // update its repfnz(*)
+ int chrep = xsup(supno(chperm)+1) - 1;
+ myfnz = repfnz_col(chrep);
+
+ if (myfnz != IND_EMPTY)
+ { // Visited before
+ if (myfnz > chperm)
+ repfnz_col(chrep) = chperm;
+ }
+ else
+ { // Cont. dfs at snode-rep of kchild
+ xplore(krep) = xdfs;
+ oldrep = krep;
+ krep = chrep; // Go deeper down G(L)
+ parent(krep) = oldrep;
+ repfnz_col(krep) = chperm;
+ xdfs = xlsub(krep);
+ maxdfs = xprune(krep);
+
+ } // end if myfnz != -1
+ } // end if chperm == -1
+
+ } // end if chmark !=jj
+ } // end while xdfs < maxdfs
+
+ // krow has no more unexplored nbrs :
+ // Place snode-rep krep in postorder DFS, if this
+ // segment is seen for the first time. (Note that
+ // "repfnz(krep)" may change later.)
+ // Baktrack dfs to its parent
+ if(traits.update_segrep(krep,jj))
+ //if (marker1(krep) < jcol )
+ {
+ segrep(nseg) = krep;
+ ++nseg;
+ //marker1(krep) = jj;
+ }
+
+ kpar = parent(krep); // Pop recursion, mimic recursion
+ if (kpar == IND_EMPTY)
+ break; // dfs done
+ krep = kpar;
+ xdfs = xplore(krep);
+ maxdfs = xprune(krep);
+
+ } while (kpar != IND_EMPTY); // Do until empty stack
+
+ } // end if (myfnz = -1)
+
+ } // end if (kperm == -1)
+}
+
/**
* \brief Performs a symbolic factorization on a panel of columns [jcol, jcol+w)
*
@@ -62,29 +188,42 @@
*
*
*/
+
+template<typename IndexVector>
+struct LU_panel_dfs_traits
+{
+ typedef typename IndexVector::Scalar Index;
+ LU_panel_dfs_traits(Index jcol, Index* marker)
+ : m_jcol(jcol), m_marker(marker)
+ {}
+ bool update_segrep(Index krep, Index jj)
+ {
+ if(m_marker[krep]<m_jcol)
+ {
+ m_marker[krep] = jj;
+ return true;
+ }
+ return false;
+ }
+ void mem_expand(IndexVector& /*lsub*/, int /*nextl*/, int /*chmark*/) {}
+ enum { ExpandMem = false };
+ Index m_jcol;
+ Index* m_marker;
+};
+
template <typename MatrixType, typename ScalarVector, typename IndexVector>
void LU_panel_dfs(const int m, const int w, const int jcol, MatrixType& A, IndexVector& perm_r, int& nseg, ScalarVector& dense, IndexVector& panel_lsub, IndexVector& segrep, IndexVector& repfnz, IndexVector& xprune, IndexVector& marker, IndexVector& parent, IndexVector& xplore, LU_GlobalLU_t<IndexVector, ScalarVector>& glu)
{
-
- int jj; // Index through each column in the panel
int nextl_col; // Next available position in panel_lsub[*,jj]
- int krow; // Row index of the current element
- int kperm; // permuted row index
- int krep; // Supernode representative of the current row
- int kmark;
- int chperm, chmark, chrep, oldrep, kchild;
- int myfnz; // First nonzero element in the current column
- int xdfs, maxdfs, kpar;
// Initialize pointers
VectorBlock<IndexVector> marker1(marker, m, m);
nseg = 0;
- IndexVector& xsup = glu.xsup;
- IndexVector& supno = glu.supno;
- IndexVector& lsub = glu.lsub;
- IndexVector& xlsub = glu.xlsub;
+
+ LU_panel_dfs_traits<IndexVector> traits(jcol, marker1.data());
+
// For each column in the panel
- for (jj = jcol; jj < jcol + w; jj++)
+ for (int jj = jcol; jj < jcol + w; jj++)
{
nextl_col = (jj - jcol) * m;
@@ -95,114 +234,15 @@ void LU_panel_dfs(const int m, const int w, const int jcol, MatrixType& A, Index
// For each nnz in A[*, jj] do depth first search
for (typename MatrixType::InnerIterator it(A, jj); it; ++it)
{
- krow = it.row();
- dense_col(krow) = it.value();
- kmark = marker(krow);
+ int krow = it.row();
+ dense_col(krow) = it.value();
+
+ int kmark = marker(krow);
if (kmark == jj)
continue; // krow visited before, go to the next nonzero
- // For each unmarked krow of jj
- marker(krow) = jj;
- kperm = perm_r(krow);
- if (kperm == IND_EMPTY ) {
- // krow is in L : place it in structure of L(*, jj)
- panel_lsub(nextl_col++) = krow; // krow is indexed into A
- }
- else
- {
- // krow is in U : if its supernode-representative krep
- // has been explored, update repfnz(*)
- krep = xsup(supno(kperm)+1) - 1;
- myfnz = repfnz_col(krep);
-
- if (myfnz != IND_EMPTY )
- {
- // Representative visited before
- if (myfnz > kperm ) repfnz_col(krep) = kperm;
-
- }
- else
- {
- // Otherwise, perform dfs starting at krep
- oldrep = IND_EMPTY;
- parent(krep) = oldrep;
- repfnz_col(krep) = kperm;
- xdfs = xlsub(krep);
- maxdfs = xprune(krep);
-
- do
- {
- // For each unmarked kchild of krep
- while (xdfs < maxdfs)
- {
- kchild = lsub(xdfs);
- xdfs++;
- chmark = marker(kchild);
-
- if (chmark != jj )
- {
- marker(kchild) = jj;
- chperm = perm_r(kchild);
-
- if (chperm == IND_EMPTY)
- {
- // case kchild is in L: place it in L(*, j)
- panel_lsub(nextl_col++) = kchild;
- }
- else
- {
- // case kchild is in U :
- // chrep = its supernode-rep. If its rep has been explored,
- // update its repfnz(*)
- chrep = xsup(supno(chperm)+1) - 1;
- myfnz = repfnz_col(chrep);
-
- if (myfnz != IND_EMPTY)
- { // Visited before
- if (myfnz > chperm)
- repfnz_col(chrep) = chperm;
- }
- else
- { // Cont. dfs at snode-rep of kchild
- xplore(krep) = xdfs;
- oldrep = krep;
- krep = chrep; // Go deeper down G(L)
- parent(krep) = oldrep;
- repfnz_col(krep) = chperm;
- xdfs = xlsub(krep);
- maxdfs = xprune(krep);
-
- } // end if myfnz != -1
- } // end if chperm == -1
-
- } // end if chmark !=jj
- } // end while xdfs < maxdfs
-
- // krow has no more unexplored nbrs :
- // Place snode-rep krep in postorder DFS, if this
- // segment is seen for the first time. (Note that
- // "repfnz(krep)" may change later.)
- // Baktrack dfs to its parent
- if (marker1(krep) < jcol )
- {
- segrep(nseg) = krep;
- ++nseg;
- marker1(krep) = jj;
- }
-
- kpar = parent(krep); // Pop recursion, mimic recursion
- if (kpar == IND_EMPTY)
- break; // dfs done
- krep = kpar;
- xdfs = xplore(krep);
- maxdfs = xprune(krep);
-
- } while (kpar != IND_EMPTY); // Do until empty stack
-
- } // end if (myfnz = -1)
-
- } // end if (kperm == -1)
-
+ LU_dfs_kernel(jj, perm_r, nseg, panel_lsub, segrep, repfnz_col, xprune, marker, parent,
+ xplore, glu, nextl_col, krow, traits);
}// end for nonzeros in column jj
} // end for column jj