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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra. Eigen itself is part of the KDE project.
3 //
4 // Copyright (C) 2008 Daniel Gomez Ferro <dgomezferro@gmail.com>
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 
10 #include "sparse.h"
11 
sparse_vector(int rows,int cols)12 template<typename Scalar> void sparse_vector(int rows, int cols)
13 {
14   double densityMat = std::max(8./(rows*cols), 0.01);
15   double densityVec = std::max(8./float(rows), 0.1);
16   typedef Matrix<Scalar,Dynamic,Dynamic> DenseMatrix;
17   typedef Matrix<Scalar,Dynamic,1> DenseVector;
18   typedef SparseVector<Scalar> SparseVectorType;
19   typedef SparseMatrix<Scalar> SparseMatrixType;
20   Scalar eps = 1e-6;
21 
22   SparseMatrixType m1(rows,cols);
23   SparseVectorType v1(rows), v2(rows), v3(rows);
24   DenseMatrix refM1 = DenseMatrix::Zero(rows, cols);
25   DenseVector refV1 = DenseVector::Random(rows),
26     refV2 = DenseVector::Random(rows),
27     refV3 = DenseVector::Random(rows);
28 
29   std::vector<int> zerocoords, nonzerocoords;
30   initSparse<Scalar>(densityVec, refV1, v1, &zerocoords, &nonzerocoords);
31   initSparse<Scalar>(densityMat, refM1, m1);
32 
33   initSparse<Scalar>(densityVec, refV2, v2);
34   initSparse<Scalar>(densityVec, refV3, v3);
35 
36   Scalar s1 = ei_random<Scalar>();
37 
38   // test coeff and coeffRef
39   for (unsigned int i=0; i<zerocoords.size(); ++i)
40   {
41     VERIFY_IS_MUCH_SMALLER_THAN( v1.coeff(zerocoords[i]), eps );
42     //VERIFY_RAISES_ASSERT( v1.coeffRef(zerocoords[i]) = 5 );
43   }
44   {
45     VERIFY(int(nonzerocoords.size()) == v1.nonZeros());
46     int j=0;
47     for (typename SparseVectorType::InnerIterator it(v1); it; ++it,++j)
48     {
49       VERIFY(nonzerocoords[j]==it.index());
50       VERIFY(it.value()==v1.coeff(it.index()));
51       VERIFY(it.value()==refV1.coeff(it.index()));
52     }
53   }
54   VERIFY_IS_APPROX(v1, refV1);
55 
56   v1.coeffRef(nonzerocoords[0]) = Scalar(5);
57   refV1.coeffRef(nonzerocoords[0]) = Scalar(5);
58   VERIFY_IS_APPROX(v1, refV1);
59 
60   VERIFY_IS_APPROX(v1+v2, refV1+refV2);
61   VERIFY_IS_APPROX(v1+v2+v3, refV1+refV2+refV3);
62 
63   VERIFY_IS_APPROX(v1*s1-v2, refV1*s1-refV2);
64 
65   VERIFY_IS_APPROX(v1*=s1, refV1*=s1);
66   VERIFY_IS_APPROX(v1/=s1, refV1/=s1);
67 
68   VERIFY_IS_APPROX(v1+=v2, refV1+=refV2);
69   VERIFY_IS_APPROX(v1-=v2, refV1-=refV2);
70 
71   VERIFY_IS_APPROX(v1.eigen2_dot(v2), refV1.eigen2_dot(refV2));
72   VERIFY_IS_APPROX(v1.eigen2_dot(refV2), refV1.eigen2_dot(refV2));
73 
74 }
75 
test_eigen2_sparse_vector()76 void test_eigen2_sparse_vector()
77 {
78   for(int i = 0; i < g_repeat; i++) {
79     CALL_SUBTEST_1( sparse_vector<double>(8, 8) );
80     CALL_SUBTEST_2( sparse_vector<std::complex<double> >(16, 16) );
81     CALL_SUBTEST_1( sparse_vector<double>(299, 535) );
82   }
83 }
84 
85