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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 (at) 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 
     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 
     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