1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr>
5 // Copyright (C) 2012 Gael Guennebaud <gael.guennebaud@inria.fr>
6 //
7 // This Source Code Form is subject to the terms of the Mozilla
8 // Public License v. 2.0. If a copy of the MPL was not distributed
9 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
10
11 /*
12
13 * NOTE: This file is the modified version of [s,d,c,z]panel_bmod.c file in SuperLU
14
15 * -- SuperLU routine (version 3.0) --
16 * Univ. of California Berkeley, Xerox Palo Alto Research Center,
17 * and Lawrence Berkeley National Lab.
18 * October 15, 2003
19 *
20 * Copyright (c) 1994 by Xerox Corporation. All rights reserved.
21 *
22 * THIS MATERIAL IS PROVIDED AS IS, WITH ABSOLUTELY NO WARRANTY
23 * EXPRESSED OR IMPLIED. ANY USE IS AT YOUR OWN RISK.
24 *
25 * Permission is hereby granted to use or copy this program for any
26 * purpose, provided the above notices are retained on all copies.
27 * Permission to modify the code and to distribute modified code is
28 * granted, provided the above notices are retained, and a notice that
29 * the code was modified is included with the above copyright notice.
30 */
31 #ifndef SPARSELU_PANEL_BMOD_H
32 #define SPARSELU_PANEL_BMOD_H
33
34 namespace Eigen {
35 namespace internal {
36
37 /**
38 * \brief Performs numeric block updates (sup-panel) in topological order.
39 *
40 * Before entering this routine, the original nonzeros in the panel
41 * were already copied i nto the spa[m,w]
42 *
43 * \param m number of rows in the matrix
44 * \param w Panel size
45 * \param jcol Starting column of the panel
46 * \param nseg Number of segments in the U part
47 * \param dense Store the full representation of the panel
48 * \param tempv working array
49 * \param segrep segment representative... first row in the segment
50 * \param repfnz First nonzero rows
51 * \param glu Global LU data.
52 *
53 *
54 */
55 template <typename Scalar, typename Index>
panel_bmod(const Index m,const Index w,const Index jcol,const Index nseg,ScalarVector & dense,ScalarVector & tempv,IndexVector & segrep,IndexVector & repfnz,GlobalLU_t & glu)56 void SparseLUImpl<Scalar,Index>::panel_bmod(const Index m, const Index w, const Index jcol,
57 const Index nseg, ScalarVector& dense, ScalarVector& tempv,
58 IndexVector& segrep, IndexVector& repfnz, GlobalLU_t& glu)
59 {
60
61 Index ksub,jj,nextl_col;
62 Index fsupc, nsupc, nsupr, nrow;
63 Index krep, kfnz;
64 Index lptr; // points to the row subscripts of a supernode
65 Index luptr; // ...
66 Index segsize,no_zeros ;
67 // For each nonz supernode segment of U[*,j] in topological order
68 Index k = nseg - 1;
69 const Index PacketSize = internal::packet_traits<Scalar>::size;
70
71 for (ksub = 0; ksub < nseg; ksub++)
72 { // For each updating supernode
73 /* krep = representative of current k-th supernode
74 * fsupc = first supernodal column
75 * nsupc = number of columns in a supernode
76 * nsupr = number of rows in a supernode
77 */
78 krep = segrep(k); k--;
79 fsupc = glu.xsup(glu.supno(krep));
80 nsupc = krep - fsupc + 1;
81 nsupr = glu.xlsub(fsupc+1) - glu.xlsub(fsupc);
82 nrow = nsupr - nsupc;
83 lptr = glu.xlsub(fsupc);
84
85 // loop over the panel columns to detect the actual number of columns and rows
86 Index u_rows = 0;
87 Index u_cols = 0;
88 for (jj = jcol; jj < jcol + w; jj++)
89 {
90 nextl_col = (jj-jcol) * m;
91 VectorBlock<IndexVector> repfnz_col(repfnz, nextl_col, m); // First nonzero column index for each row
92
93 kfnz = repfnz_col(krep);
94 if ( kfnz == emptyIdxLU )
95 continue; // skip any zero segment
96
97 segsize = krep - kfnz + 1;
98 u_cols++;
99 u_rows = (std::max)(segsize,u_rows);
100 }
101
102 if(nsupc >= 2)
103 {
104 Index ldu = internal::first_multiple<Index>(u_rows, PacketSize);
105 Map<Matrix<Scalar,Dynamic,Dynamic>, Aligned, OuterStride<> > U(tempv.data(), u_rows, u_cols, OuterStride<>(ldu));
106
107 // gather U
108 Index u_col = 0;
109 for (jj = jcol; jj < jcol + w; jj++)
110 {
111 nextl_col = (jj-jcol) * m;
112 VectorBlock<IndexVector> repfnz_col(repfnz, nextl_col, m); // First nonzero column index for each row
113 VectorBlock<ScalarVector> dense_col(dense, nextl_col, m); // Scatter/gather entire matrix column from/to here
114
115 kfnz = repfnz_col(krep);
116 if ( kfnz == emptyIdxLU )
117 continue; // skip any zero segment
118
119 segsize = krep - kfnz + 1;
120 luptr = glu.xlusup(fsupc);
121 no_zeros = kfnz - fsupc;
122
123 Index isub = lptr + no_zeros;
124 Index off = u_rows-segsize;
125 for (Index i = 0; i < off; i++) U(i,u_col) = 0;
126 for (Index i = 0; i < segsize; i++)
127 {
128 Index irow = glu.lsub(isub);
129 U(i+off,u_col) = dense_col(irow);
130 ++isub;
131 }
132 u_col++;
133 }
134 // solve U = A^-1 U
135 luptr = glu.xlusup(fsupc);
136 Index lda = glu.xlusup(fsupc+1) - glu.xlusup(fsupc);
137 no_zeros = (krep - u_rows + 1) - fsupc;
138 luptr += lda * no_zeros + no_zeros;
139 Map<Matrix<Scalar,Dynamic,Dynamic>, 0, OuterStride<> > A(glu.lusup.data()+luptr, u_rows, u_rows, OuterStride<>(lda) );
140 U = A.template triangularView<UnitLower>().solve(U);
141
142 // update
143 luptr += u_rows;
144 Map<Matrix<Scalar,Dynamic,Dynamic>, 0, OuterStride<> > B(glu.lusup.data()+luptr, nrow, u_rows, OuterStride<>(lda) );
145 eigen_assert(tempv.size()>w*ldu + nrow*w + 1);
146
147 Index ldl = internal::first_multiple<Index>(nrow, PacketSize);
148 Index offset = (PacketSize-internal::first_aligned(B.data(), PacketSize)) % PacketSize;
149 Map<Matrix<Scalar,Dynamic,Dynamic>, 0, OuterStride<> > L(tempv.data()+w*ldu+offset, nrow, u_cols, OuterStride<>(ldl));
150
151 L.setZero();
152 internal::sparselu_gemm<Scalar>(L.rows(), L.cols(), B.cols(), B.data(), B.outerStride(), U.data(), U.outerStride(), L.data(), L.outerStride());
153
154 // scatter U and L
155 u_col = 0;
156 for (jj = jcol; jj < jcol + w; jj++)
157 {
158 nextl_col = (jj-jcol) * m;
159 VectorBlock<IndexVector> repfnz_col(repfnz, nextl_col, m); // First nonzero column index for each row
160 VectorBlock<ScalarVector> dense_col(dense, nextl_col, m); // Scatter/gather entire matrix column from/to here
161
162 kfnz = repfnz_col(krep);
163 if ( kfnz == emptyIdxLU )
164 continue; // skip any zero segment
165
166 segsize = krep - kfnz + 1;
167 no_zeros = kfnz - fsupc;
168 Index isub = lptr + no_zeros;
169
170 Index off = u_rows-segsize;
171 for (Index i = 0; i < segsize; i++)
172 {
173 Index irow = glu.lsub(isub++);
174 dense_col(irow) = U.coeff(i+off,u_col);
175 U.coeffRef(i+off,u_col) = 0;
176 }
177
178 // Scatter l into SPA dense[]
179 for (Index i = 0; i < nrow; i++)
180 {
181 Index irow = glu.lsub(isub++);
182 dense_col(irow) -= L.coeff(i,u_col);
183 L.coeffRef(i,u_col) = 0;
184 }
185 u_col++;
186 }
187 }
188 else // level 2 only
189 {
190 // Sequence through each column in the panel
191 for (jj = jcol; jj < jcol + w; jj++)
192 {
193 nextl_col = (jj-jcol) * m;
194 VectorBlock<IndexVector> repfnz_col(repfnz, nextl_col, m); // First nonzero column index for each row
195 VectorBlock<ScalarVector> dense_col(dense, nextl_col, m); // Scatter/gather entire matrix column from/to here
196
197 kfnz = repfnz_col(krep);
198 if ( kfnz == emptyIdxLU )
199 continue; // skip any zero segment
200
201 segsize = krep - kfnz + 1;
202 luptr = glu.xlusup(fsupc);
203
204 Index lda = glu.xlusup(fsupc+1)-glu.xlusup(fsupc);// nsupr
205
206 // Perform a trianglar solve and block update,
207 // then scatter the result of sup-col update to dense[]
208 no_zeros = kfnz - fsupc;
209 if(segsize==1) LU_kernel_bmod<1>::run(segsize, dense_col, tempv, glu.lusup, luptr, lda, nrow, glu.lsub, lptr, no_zeros);
210 else if(segsize==2) LU_kernel_bmod<2>::run(segsize, dense_col, tempv, glu.lusup, luptr, lda, nrow, glu.lsub, lptr, no_zeros);
211 else if(segsize==3) LU_kernel_bmod<3>::run(segsize, dense_col, tempv, glu.lusup, luptr, lda, nrow, glu.lsub, lptr, no_zeros);
212 else LU_kernel_bmod<Dynamic>::run(segsize, dense_col, tempv, glu.lusup, luptr, lda, nrow, glu.lsub, lptr, no_zeros);
213 } // End for each column in the panel
214 }
215
216 } // End for each updating supernode
217 } // end panel bmod
218
219 } // end namespace internal
220
221 } // end namespace Eigen
222
223 #endif // SPARSELU_PANEL_BMOD_H
224