ceph/src/boost/libs/numeric/ublas/doc/samples/ex_triangular.cpp

   1 //          Copyright Gunter Winkler 2004 - 2009.
   2 // Distributed under the Boost Software License, Version 1.0.
   3 //    (See accompanying file LICENSE_1_0.txt or copy at
   4 //          http://www.boost.org/LICENSE_1_0.txt)
   5
   6
   7 #include <iostream>
   8
   9 #include <boost/numeric/ublas/matrix.hpp>
  10 #include <boost/numeric/ublas/triangular.hpp>
  11
  12 #include <boost/numeric/ublas/io.hpp>
  13
  14 using std::cout;
  15 using std::endl;
  16
  17
  18
  19 namespace ublas = boost::numeric::ublas;
  20
  21
  22 int main(int argc, char * argv[] ) {
  23
  24   ublas::matrix<double> M (3, 3);
  25   for (std::size_t i=0; i < M.data().size(); ++i) { M.data()[i] = 1+i ; }
  26
  27   std::cout << "full         M  = " << M << "\n" ;
  28
  29   ublas::triangular_matrix<double, ublas::lower> L;
  30   ublas::triangular_matrix<double, ublas::unit_lower> UL;
  31   ublas::triangular_matrix<double, ublas::strict_lower> SL;
  32
  33   L  = ublas::triangular_adaptor<ublas::matrix<double>, ublas::lower> (M);
  34   SL = ublas::triangular_adaptor<ublas::matrix<double>, ublas::strict_lower> (M);
  35   UL = ublas::triangular_adaptor<ublas::matrix<double>, ublas::unit_lower> (M);
  36
  37   std::cout << "lower        L  = " << L << "\n"
  38             << "strict lower SL = " << SL << "\n"
  39             << "unit lower   UL = " << UL << "\n" ;
  40
  41   ublas::triangular_matrix<double, ublas::upper> U;
  42   ublas::triangular_matrix<double, ublas::unit_upper> UU;
  43   ublas::triangular_matrix<double, ublas::strict_upper> SU;
  44
  45   U =  ublas::triangular_adaptor<ublas::matrix<double>, ublas::upper> (M);
  46   SU = ublas::triangular_adaptor<ublas::matrix<double>, ublas::strict_upper> (M);
  47   UU = ublas::triangular_adaptor<ublas::matrix<double>, ublas::unit_upper> (M);
  48
  49   std::cout << "upper        U  = " << U << "\n"
  50             << "strict upper SU = " << SU << "\n"
  51             << "unit upper   UU = " << UU << "\n" ;
  52
  53   std::cout << "M = L + SU ? " << ((norm_inf( M - (L + SU) ) == 0.0)?"ok":"failed") << "\n";
  54   std::cout << "M = U + SL ? " << ((norm_inf( M - (U + SL) ) == 0.0)?"ok":"failed") << "\n";
  55
  56 }
  57
  58