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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2015-2016 Gael Guennebaud <gael.guennebaud@inria.fr>
5 //
6 // This Source Code Form is subject to the terms of the Mozilla
7 // Public License v. 2.0. If a copy of the MPL was not distributed
8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9 // #define EIGEN_DONT_VECTORIZE
10 // #define EIGEN_MAX_ALIGN_BYTES 0
11 #include "sparse_solver.h"
12 #include <Eigen/IterativeLinearSolvers>
13 #include <unsupported/Eigen/IterativeSolvers>
14 
test_incomplete_cholesky_T()15 template<typename T, typename I> void test_incomplete_cholesky_T()
16 {
17   typedef SparseMatrix<T,0,I> SparseMatrixType;
18   ConjugateGradient<SparseMatrixType, Lower, IncompleteCholesky<T, Lower, AMDOrdering<I> > >        cg_illt_lower_amd;
19   ConjugateGradient<SparseMatrixType, Lower, IncompleteCholesky<T, Lower, NaturalOrdering<I> > >    cg_illt_lower_nat;
20   ConjugateGradient<SparseMatrixType, Upper, IncompleteCholesky<T, Upper, AMDOrdering<I> > >        cg_illt_upper_amd;
21   ConjugateGradient<SparseMatrixType, Upper, IncompleteCholesky<T, Upper, NaturalOrdering<I> > >    cg_illt_upper_nat;
22   ConjugateGradient<SparseMatrixType, Upper|Lower, IncompleteCholesky<T, Lower, AMDOrdering<I> > >  cg_illt_uplo_amd;
23 
24 
25   CALL_SUBTEST( check_sparse_spd_solving(cg_illt_lower_amd) );
26   CALL_SUBTEST( check_sparse_spd_solving(cg_illt_lower_nat) );
27   CALL_SUBTEST( check_sparse_spd_solving(cg_illt_upper_amd) );
28   CALL_SUBTEST( check_sparse_spd_solving(cg_illt_upper_nat) );
29   CALL_SUBTEST( check_sparse_spd_solving(cg_illt_uplo_amd) );
30 }
31 
test_incomplete_cholesky()32 void test_incomplete_cholesky()
33 {
34   CALL_SUBTEST_1(( test_incomplete_cholesky_T<double,int>() ));
35   CALL_SUBTEST_2(( test_incomplete_cholesky_T<std::complex<double>, int>() ));
36   CALL_SUBTEST_3(( test_incomplete_cholesky_T<double,long int>() ));
37 
38 #ifdef EIGEN_TEST_PART_1
39     // regression for bug 1150
40   for(int N = 1; N<20; ++N)
41   {
42     Eigen::MatrixXd b( N, N );
43     b.setOnes();
44 
45     Eigen::SparseMatrix<double> m( N, N );
46     m.reserve(Eigen::VectorXi::Constant(N,4));
47     for( int i = 0; i < N; ++i )
48     {
49         m.insert( i, i ) = 1;
50         m.coeffRef( i, i / 2 ) = 2;
51         m.coeffRef( i, i / 3 ) = 2;
52         m.coeffRef( i, i / 4 ) = 2;
53     }
54 
55     Eigen::SparseMatrix<double> A;
56     A = m * m.transpose();
57 
58     Eigen::ConjugateGradient<Eigen::SparseMatrix<double>,
59         Eigen::Lower | Eigen::Upper,
60         Eigen::IncompleteCholesky<double> > solver( A );
61     VERIFY(solver.preconditioner().info() == Eigen::Success);
62     VERIFY(solver.info() == Eigen::Success);
63   }
64 #endif
65 }
66