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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/.
-
-/*
-
- * NOTE: This file is the modified version of xpivotL.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_PIVOTL_H
-#define SPARSELU_PIVOTL_H
-
-namespace Eigen {
-namespace internal {
-
-/**
- * \brief Performs the numerical pivotin on the current column of L, and the CDIV operation.
- *
- * Pivot policy :
- * (1) Compute thresh = u * max_(i>=j) abs(A_ij);
- * (2) IF user specifies pivot row k and abs(A_kj) >= thresh THEN
- * pivot row = k;
- * ELSE IF abs(A_jj) >= thresh THEN
- * pivot row = j;
- * ELSE
- * pivot row = m;
- *
- * Note: If you absolutely want to use a given pivot order, then set u=0.0.
- *
- * \param jcol The current column of L
- * \param diagpivotthresh diagonal pivoting threshold
- * \param[in,out] perm_r Row permutation (threshold pivoting)
- * \param[in] iperm_c column permutation - used to finf diagonal of Pc*A*Pc'
- * \param[out] pivrow The pivot row
- * \param glu Global LU data
- * \return 0 if success, i > 0 if U(i,i) is exactly zero
- *
- */
-template <typename Scalar, typename Index>
-Index SparseLUImpl<Scalar,Index>::pivotL(const Index jcol, const RealScalar& diagpivotthresh, IndexVector& perm_r, IndexVector& iperm_c, Index& pivrow, GlobalLU_t& glu)
-{
-
- Index fsupc = (glu.xsup)((glu.supno)(jcol)); // First column in the supernode containing the column jcol
- Index nsupc = jcol - fsupc; // Number of columns in the supernode portion, excluding jcol; nsupc >=0
- Index lptr = glu.xlsub(fsupc); // pointer to the starting location of the row subscripts for this supernode portion
- Index nsupr = glu.xlsub(fsupc+1) - lptr; // Number of rows in the supernode
- Index lda = glu.xlusup(fsupc+1) - glu.xlusup(fsupc); // leading dimension
- Scalar* lu_sup_ptr = &(glu.lusup.data()[glu.xlusup(fsupc)]); // Start of the current supernode
- Scalar* lu_col_ptr = &(glu.lusup.data()[glu.xlusup(jcol)]); // Start of jcol in the supernode
- Index* lsub_ptr = &(glu.lsub.data()[lptr]); // Start of row indices of the supernode
-
- // Determine the largest abs numerical value for partial pivoting
- Index diagind = iperm_c(jcol); // diagonal index
- RealScalar pivmax = 0.0;
- Index pivptr = nsupc;
- Index diag = emptyIdxLU;
- RealScalar rtemp;
- Index isub, icol, itemp, k;
- for (isub = nsupc; isub < nsupr; ++isub) {
- rtemp = std::abs(lu_col_ptr[isub]);
- if (rtemp > pivmax) {
- pivmax = rtemp;
- pivptr = isub;
- }
- if (lsub_ptr[isub] == diagind) diag = isub;
- }
-
- // Test for singularity
- if ( pivmax == 0.0 ) {
- pivrow = lsub_ptr[pivptr];
- perm_r(pivrow) = jcol;
- return (jcol+1);
- }
-
- RealScalar thresh = diagpivotthresh * pivmax;
-
- // Choose appropriate pivotal element
-
- {
- // Test if the diagonal element can be used as a pivot (given the threshold value)
- if (diag >= 0 )
- {
- // Diagonal element exists
- rtemp = std::abs(lu_col_ptr[diag]);
- if (rtemp != 0.0 && rtemp >= thresh) pivptr = diag;
- }
- pivrow = lsub_ptr[pivptr];
- }
-
- // Record pivot row
- perm_r(pivrow) = jcol;
- // Interchange row subscripts
- if (pivptr != nsupc )
- {
- std::swap( lsub_ptr[pivptr], lsub_ptr[nsupc] );
- // Interchange numerical values as well, for the two rows in the whole snode
- // such that L is indexed the same way as A
- for (icol = 0; icol <= nsupc; icol++)
- {
- itemp = pivptr + icol * lda;
- std::swap(lu_sup_ptr[itemp], lu_sup_ptr[nsupc + icol * lda]);
- }
- }
- // cdiv operations
- Scalar temp = Scalar(1.0) / lu_col_ptr[nsupc];
- for (k = nsupc+1; k < nsupr; k++)
- lu_col_ptr[k] *= temp;
- return 0;
-}
-
-} // end namespace internal
-} // end namespace Eigen
-
-#endif // SPARSELU_PIVOTL_H