Changeset 17fa81 for src


Ignore:
Timestamp:
Dec 4, 2010, 11:56:27 PM (14 years ago)
Author:
Frederik Heber <heber@…>
Branches:
Action_Thermostats, Add_AtomRandomPerturbation, Add_FitFragmentPartialChargesAction, Add_RotateAroundBondAction, Add_SelectAtomByNameAction, Added_ParseSaveFragmentResults, AddingActions_SaveParseParticleParameters, Adding_Graph_to_ChangeBondActions, Adding_MD_integration_tests, Adding_ParticleName_to_Atom, Adding_StructOpt_integration_tests, AtomFragments, Automaking_mpqc_open, AutomationFragmentation_failures, Candidate_v1.5.4, Candidate_v1.6.0, Candidate_v1.6.1, ChangeBugEmailaddress, ChangingTestPorts, ChemicalSpaceEvaluator, CombiningParticlePotentialParsing, Combining_Subpackages, Debian_Package_split, Debian_package_split_molecuildergui_only, Disabling_MemDebug, Docu_Python_wait, EmpiricalPotential_contain_HomologyGraph, EmpiricalPotential_contain_HomologyGraph_documentation, Enable_parallel_make_install, Enhance_userguide, Enhanced_StructuralOptimization, Enhanced_StructuralOptimization_continued, Example_ManyWaysToTranslateAtom, Exclude_Hydrogens_annealWithBondGraph, FitPartialCharges_GlobalError, Fix_BoundInBox_CenterInBox_MoleculeActions, Fix_ChargeSampling_PBC, Fix_ChronosMutex, Fix_FitPartialCharges, Fix_FitPotential_needs_atomicnumbers, Fix_ForceAnnealing, Fix_IndependentFragmentGrids, Fix_ParseParticles, Fix_ParseParticles_split_forward_backward_Actions, Fix_PopActions, Fix_QtFragmentList_sorted_selection, Fix_Restrictedkeyset_FragmentMolecule, Fix_StatusMsg, Fix_StepWorldTime_single_argument, Fix_Verbose_Codepatterns, Fix_fitting_potentials, Fixes, ForceAnnealing_goodresults, ForceAnnealing_oldresults, ForceAnnealing_tocheck, ForceAnnealing_with_BondGraph, ForceAnnealing_with_BondGraph_continued, ForceAnnealing_with_BondGraph_continued_betteresults, ForceAnnealing_with_BondGraph_contraction-expansion, FragmentAction_writes_AtomFragments, FragmentMolecule_checks_bonddegrees, GeometryObjects, Gui_Fixes, Gui_displays_atomic_force_velocity, ImplicitCharges, IndependentFragmentGrids, IndependentFragmentGrids_IndividualZeroInstances, IndependentFragmentGrids_IntegrationTest, IndependentFragmentGrids_Sole_NN_Calculation, JobMarket_RobustOnKillsSegFaults, JobMarket_StableWorkerPool, JobMarket_unresolvable_hostname_fix, MoreRobust_FragmentAutomation, ODR_violation_mpqc_open, PartialCharges_OrthogonalSummation, PdbParser_setsAtomName, PythonUI_with_named_parameters, QtGui_reactivate_TimeChanged_changes, Recreated_GuiChecks, Rewrite_FitPartialCharges, RotateToPrincipalAxisSystem_UndoRedo, SaturateAtoms_findBestMatching, SaturateAtoms_singleDegree, StoppableMakroAction, Subpackage_CodePatterns, Subpackage_JobMarket, Subpackage_LinearAlgebra, Subpackage_levmar, Subpackage_mpqc_open, Subpackage_vmg, Switchable_LogView, ThirdParty_MPQC_rebuilt_buildsystem, TrajectoryDependenant_MaxOrder, TremoloParser_IncreasedPrecision, TremoloParser_MultipleTimesteps, TremoloParser_setsAtomName, Ubuntu_1604_changes, stable
Children:
041462
Parents:
5eec98
git-author:
Frederik Heber <heber@…> (11/16/10 11:42:47)
git-committer:
Frederik Heber <heber@…> (12/04/10 23:56:27)
Message:

MatrixContent::transformToEigenbasis() also working for non-symmetric real matrices.

  • we don't have to look for zero columns OR rows, as eigenvectors are stored column-wise and eigenvalues give clear identification of the right/non-zero ones.
  • also added ASSERT to MatrixContent::operator*().
File:
1 edited

Legend:

Unmodified
Added
Removed
  • src/LinearAlgebra/MatrixContent.cpp

    r5eec98 r17fa81  
    215215const MatrixContent MatrixContent::operator*(const MatrixContent &rhs) const
    216216{
     217  ASSERT (columns == rhs.rows,
     218      "MatrixContent::operator*() - dimensions not match for matrix product (a,b)*(b,c) = (a,c):"
     219      "("+toString(rows)+","+toString(columns)+")*("+toString(rhs.rows)+","+toString(rhs.columns)+")");
    217220  gsl_matrix *res = gsl_matrix_alloc(rows, rhs.columns);
    218221  gsl_blas_dgemm(CblasNoTrans, CblasNoTrans, 1.0, content, rhs.content, 0.0, res);
     
    358361}
    359362
    360 /** Transform the matrix to its eigenbasis ans return resulting eigenvalues.
     363/** Transform the matrix to its eigenbasis and return resulting eigenvalues.
    361364 * Note that we only return real-space part in case of non-symmetric matrix.
    362365 * \warn return vector has to be freed'd
     
    376379    return eval;
    377380  } else { // non-symmetric
    378     //ASSERT(false, "MatrixContent::transformToEigenbasis() - only implemented for square matrices: "+toString(rows)+"!="+toString(columns)+"!");
    379 
    380381    // blow up gsl_matrix in content to square matrix, fill other components with zero
    381382    const size_t greaterDimension = rows > columns ? rows : columns;
     
    388389    }
    389390
    390     // show squared matrix
    391     MatrixContent *ContentSquare = new MatrixViewContent(gsl_matrix_submatrix(content,0,0,content->size1, content->size2));
     391    // show squared matrix by putting it into a MatrixViewContent
     392    MatrixContent *ContentSquare = new MatrixViewContent(gsl_matrix_submatrix(content_square,0,0,content_square->size1, content_square->size2));
    392393    std::cout << "The squared matrix is " << *ContentSquare << std::endl;
    393     delete ContentSquare;
    394394
    395395    // solve eigenvalue problem
     
    401401
    402402    // copy eigenvectors real-parts into content_square and ...
     403    for (size_t i=0; i<greaterDimension; i++)
     404      for (size_t j=0; j<greaterDimension; j++)
     405        gsl_matrix_set(content_square, i,j, GSL_REAL(gsl_matrix_complex_get(evec,i,j)));
     406
    403407    // ... show complex-valued eigenvector matrix
    404     std::cout << "Resulting eigenvector matrix is [";
    405     for (size_t i=0; i<greaterDimension; i++) {
    406       for (size_t j=0; j<greaterDimension; j++) {
    407         std::cout << "(" << GSL_REAL(gsl_matrix_complex_get(evec,i,j))
    408             << "," << GSL_IMAG(gsl_matrix_complex_get(evec,i,j)) << ")";
    409         if (j < greaterDimension-1)
    410           std::cout << " ";
    411         gsl_matrix_set(content_square, i,j, GSL_REAL(gsl_matrix_complex_get(evec,i,j)));
    412       }
    413       if (i < greaterDimension-1)
    414         std::cout << "; ";
    415     }
    416     std::cout << "]" << std::endl;
    417 
    418     // scan for zero rows and columns to drop
    419     std::set<size_t> RowDropList;
    420     std::set<size_t> ColumnDropList;
     408    std::cout << "The real-value eigenvector matrix is " << *ContentSquare << std::endl;
     409//    std::cout << "Resulting eigenvector matrix is [";
     410//    for (size_t i=0; i<greaterDimension; i++) {
     411//      for (size_t j=0; j<greaterDimension; j++) {
     412//        std::cout << "(" << GSL_REAL(gsl_matrix_complex_get(evec,i,j))
     413//            << "," << GSL_IMAG(gsl_matrix_complex_get(evec,i,j)) << ")";
     414//        if (j < greaterDimension-1)
     415//          std::cout << " ";
     416//      }
     417//      if (i < greaterDimension-1)
     418//        std::cout << "; ";
     419//    }
     420//    std::cout << "]" << std::endl;
     421
     422    // copy real-parts of complex eigenvalues and eigenvectors (column-wise orientation)
     423    gsl_vector *eval_real = gsl_vector_alloc(columns);
     424    size_t I=0;
    421425    for (size_t i=0; i<greaterDimension; i++) { // only copy real space part
    422       double Rsum = 0.;
    423       double Csum = 0.;
    424       for (size_t j=0; j<greaterDimension; j++) {
    425         Rsum += fabs(GSL_REAL(gsl_matrix_complex_get(evec,i,j)));
    426         Csum += fabs(GSL_REAL(gsl_matrix_complex_get(evec,j,i)));
    427       }
    428       Rsum /= (double)greaterDimension;
    429       Csum /= (double)greaterDimension;
    430       if (Rsum < MYEPSILON)
    431         RowDropList.insert(i);
    432       if (Csum < MYEPSILON)
    433         ColumnDropList.insert(i);
    434     }
    435 
    436     // copy real-parts of complex eigenvalues and eigenvectors
    437     gsl_vector *eval_real = gsl_vector_alloc(greaterDimension);
    438     size_t I=0;
    439     size_t J=0;
    440     for (size_t i=0; i<greaterDimension; i++) { // only copy real space part
    441       if (RowDropList.find(i) == RowDropList.end()) {
     426      if (fabs(GSL_REAL(gsl_vector_complex_get(eval,i))) > MYEPSILON) { // only take eigenvectors with value > 0
     427        std::cout << i << "th eigenvalue is (" << GSL_REAL(gsl_vector_complex_get(eval,i)) << "," << GSL_IMAG(gsl_vector_complex_get(eval,i)) << ")" << std::endl;
    442428        for (size_t j=0; j<greaterDimension; j++) {
    443           if (ColumnDropList.find(j) == ColumnDropList.end()) {
    444             if (fabs(GSL_IMAG(gsl_matrix_complex_get(evec,i,j))) > MYEPSILON)
    445               std::cerr << "MatrixContent::transformToEigenbasis() - WARNING: eigenvectors are complex-valued!" << std::endl;
    446             gsl_matrix_set(content, I,J, GSL_REAL(gsl_matrix_complex_get(evec,i,j)));
    447             J++;
    448           }
     429          if (fabs(GSL_IMAG(gsl_matrix_complex_get(evec,j,i))) > MYEPSILON)
     430            std::cerr << "MatrixContent::transformToEigenbasis() - WARNING: eigenvectors are complex-valued!" << std::endl;
     431          gsl_matrix_set(content, j,I, GSL_REAL(gsl_matrix_complex_get(evec,j,i)));
    449432        }
    450433        if (fabs(GSL_IMAG(gsl_vector_complex_get(eval,I))) > MYEPSILON)
     
    456439    gsl_matrix_complex_free(evec);
    457440    gsl_vector_complex_free(eval);
     441    delete ContentSquare;
     442
    458443    return eval_real;
    459444  }
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