1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2008-2011 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
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,rows);
23 SparseVectorType v1(rows), v2(rows), v3(rows);
24 DenseMatrix refM1 = DenseMatrix::Zero(rows, rows);
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 = internal::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.dot(v2), refV1.dot(refV2));
72 VERIFY_IS_APPROX(v1.dot(refV2), refV1.dot(refV2));
73
74 VERIFY_IS_APPROX(v1.dot(m1*v2), refV1.dot(refM1*refV2));
75 int i = internal::random<int>(0,rows-1);
76 VERIFY_IS_APPROX(v1.dot(m1.col(i)), refV1.dot(refM1.col(i)));
77
78
79 VERIFY_IS_APPROX(v1.squaredNorm(), refV1.squaredNorm());
80
81 }
82
test_sparse_vector()83 void test_sparse_vector()
84 {
85 for(int i = 0; i < g_repeat; i++) {
86 CALL_SUBTEST_1( sparse_vector<double>(8, 8) );
87 CALL_SUBTEST_2( sparse_vector<std::complex<double> >(16, 16) );
88 CALL_SUBTEST_1( sparse_vector<double>(299, 535) );
89 }
90 }
91
92