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-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr>
-//
-// This Source Code Form is subject to the terms of the Mozilla
-// Public License v. 2.0. If a copy of the MPL was not distributed
-// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
-
-/* This file is a modified version of heap_relax_snode.c file in SuperLU
- * -- SuperLU routine (version 3.0) --
- * Univ. of California Berkeley, Xerox Palo Alto Research Center,
- * and Lawrence Berkeley National Lab.
- * October 15, 2003
- *
- * Copyright (c) 1994 by Xerox Corporation. All rights reserved.
- *
- * THIS MATERIAL IS PROVIDED AS IS, WITH ABSOLUTELY NO WARRANTY
- * EXPRESSED OR IMPLIED. ANY USE IS AT YOUR OWN RISK.
- *
- * Permission is hereby granted to use or copy this program for any
- * purpose, provided the above notices are retained on all copies.
- * Permission to modify the code and to distribute modified code is
- * granted, provided the above notices are retained, and a notice that
- * the code was modified is included with the above copyright notice.
- */
-
-#ifndef SPARSELU_HEAP_RELAX_SNODE_H
-#define SPARSELU_HEAP_RELAX_SNODE_H
-
-namespace Eigen {
-namespace internal {
-
-/**
- * \brief Identify the initial relaxed supernodes
- *
- * This routine applied to a symmetric elimination tree.
- * It assumes that the matrix has been reordered according to the postorder of the etree
- * \param n The number of columns
- * \param et elimination tree
- * \param relax_columns Maximum number of columns allowed in a relaxed snode
- * \param descendants Number of descendants of each node in the etree
- * \param relax_end last column in a supernode
- */
-template <typename Scalar, typename StorageIndex>
-void SparseLUImpl<Scalar,StorageIndex>::heap_relax_snode (const Index n, IndexVector& et, const Index relax_columns, IndexVector& descendants, IndexVector& relax_end)
-{
-
- // The etree may not be postordered, but its heap ordered
- IndexVector post;
- internal::treePostorder(StorageIndex(n), et, post); // Post order etree
- IndexVector inv_post(n+1);
- for (StorageIndex i = 0; i < n+1; ++i) inv_post(post(i)) = i; // inv_post = post.inverse()???
-
- // Renumber etree in postorder
- IndexVector iwork(n);
- IndexVector et_save(n+1);
- for (Index i = 0; i < n; ++i)
- {
- iwork(post(i)) = post(et(i));
- }
- et_save = et; // Save the original etree
- et = iwork;
-
- // compute the number of descendants of each node in the etree
- relax_end.setConstant(emptyIdxLU);
- Index j, parent;
- descendants.setZero();
- for (j = 0; j < n; j++)
- {
- parent = et(j);
- if (parent != n) // not the dummy root
- descendants(parent) += descendants(j) + 1;
- }
- // Identify the relaxed supernodes by postorder traversal of the etree
- Index snode_start; // beginning of a snode
- StorageIndex k;
- Index nsuper_et_post = 0; // Number of relaxed snodes in postordered etree
- Index nsuper_et = 0; // Number of relaxed snodes in the original etree
- StorageIndex l;
- for (j = 0; j < n; )
- {
- parent = et(j);
- snode_start = j;
- while ( parent != n && descendants(parent) < relax_columns )
- {
- j = parent;
- parent = et(j);
- }
- // Found a supernode in postordered etree, j is the last column
- ++nsuper_et_post;
- k = StorageIndex(n);
- for (Index i = snode_start; i <= j; ++i)
- k = (std::min)(k, inv_post(i));
- l = inv_post(j);
- if ( (l - k) == (j - snode_start) ) // Same number of columns in the snode
- {
- // This is also a supernode in the original etree
- relax_end(k) = l; // Record last column
- ++nsuper_et;
- }
- else
- {
- for (Index i = snode_start; i <= j; ++i)
- {
- l = inv_post(i);
- if (descendants(i) == 0)
- {
- relax_end(l) = l;
- ++nsuper_et;
- }
- }
- }
- j++;
- // Search for a new leaf
- while (descendants(j) != 0 && j < n) j++;
- } // End postorder traversal of the etree
-
- // Recover the original etree
- et = et_save;
-}
-
-} // end namespace internal
-
-} // end namespace Eigen
-#endif // SPARSELU_HEAP_RELAX_SNODE_H