root/library/tests/testsuite/square_mat_test.cpp @ 998

#include "../bdm/math/square_mat.h"
#include "../bdm/math/chmat.h"
#include "itpp_ext.h"
#include "../mat_checks.h"
#include "UnitTest++.h"
#include <math.h>

const double epsilon = 0.00001;

using namespace itpp;

using bdm::fsqmat;
using bdm::chmat;
using bdm::ldmat;

template<typename TMatrix>
void test_square_matrix ( double epsilon ) {
        int sz = 3;
        mat A0 = randu ( sz, sz );
        mat A = A0 * A0.T();

        // ----------- SIZES ---------
        TMatrix sq_mat ( A );
        CHECK_EQUAL ( sz, sq_mat.rows() );
        CHECK_EQUAL ( sz, sq_mat.cols() );

        // ----------- FULL MAT ---------
        mat res = sq_mat.to_mat();
        CHECK_CLOSE ( A, res, epsilon );

        // ----------- OUTER PRODUCT UPDATE ---------
        vec v = randu ( sz );
        double w = randu();
        TMatrix sq_mat2 = sq_mat;
        sq_mat2.opupdt ( v, w );

        res = A + w * outer_product ( v, v );
        CHECK_CLOSE ( res, sq_mat2.to_mat(), epsilon );

        // ----------- INVERSION ---------
        TMatrix invmat ( sz );
        sq_mat.inv ( invmat );
        mat invA = inv ( A );
        CHECK_CLOSE ( invA, invmat.to_mat(), epsilon );

        // ----------- DETERMINANT ---------
        double d = det ( A );
        CHECK_CLOSE ( log ( d ), sq_mat.logdet(), epsilon );

        // ----------- QUADRATIC FORM ---------
        double q = sq_mat.qform ( ones ( sz ) );
        CHECK_CLOSE ( sumsum ( A ), q, epsilon );

        q = sq_mat.qform ( v );
        double r = ( A * v ) * v;
        CHECK_CLOSE ( r, q, epsilon );

        q = sq_mat.invqform ( v );
        r = ( invA * v ) * v;
        CHECK_CLOSE ( r, q, epsilon );

        sq_mat2 = sq_mat;
        sq_mat2.clear();
        CHECK_EQUAL ( 0, sq_mat2.qform ( ones ( sz ) ) );

        // ----------- + operator ---------     
        TMatrix twice = sq_mat;
        twice += sq_mat;
        res = 2 * A;
        CHECK_CLOSE ( res, twice.to_mat(), epsilon );

        // ----------- * operator ---------     
        twice = sq_mat;
        twice *= 2;
        CHECK_CLOSE ( res, twice.to_mat(), epsilon );

        // ----------- MULTIPLICATION --------- 
        sq_mat2 = sq_mat;
        mat B = randu ( sz, sz );
        sq_mat2.mult_sym ( B );
        res = ( B * A ) * B.T();
        CHECK_CLOSE ( res, sq_mat2.to_mat(), epsilon );

        mat C = randu ( sz, sz - 1 );
        TMatrix CAC ( sz - 1 );
        sq_mat.mult_sym_t ( C, CAC );
        res = ( C.T() * A ) * C;
        CHECK_CLOSE ( res, CAC.to_mat(), epsilon );

        sq_mat2 = sq_mat;
        sq_mat2.mult_sym_t ( B );
        res = ( B.T() * A ) * B;
        CHECK_CLOSE ( res, sq_mat2.to_mat(), epsilon );
        
        // ----------- PERMUTATION ---------    
        mat M1 = randu (sz,sz);
        mat M = M1*M1.T();
        vec perm_v_rand = randu(sz);
        ivec perm_v_ids  = sort_index(perm_v_rand);
        
        mat Mperm_c=M.get_cols(perm_v_ids);
        mat Mperm=Mperm_c.get_rows(perm_v_ids);
        
        TMatrix T(M);
        TMatrix Tperm(T,perm_v_ids);

        CHECK_CLOSE(Tperm.to_mat(), Mperm, epsilon);
}

TEST ( ldmat_test ) {
        test_square_matrix<ldmat> ( epsilon );
}

TEST ( fsqmat_test ) {
        test_square_matrix<fsqmat> ( epsilon );
}

TEST ( chmat_test ) {
        test_square_matrix<chmat> ( epsilon );
}