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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) 2006-2008 Benoit Jacob <jacob.benoit.1 (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 "main.h"
     11 
     12 template<typename MatrixType> void basicStuff(const MatrixType& m)
     13 {
     14   typedef typename MatrixType::Scalar Scalar;
     15   typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
     16 
     17   int rows = m.rows();
     18   int cols = m.cols();
     19 
     20   // this test relies a lot on Random.h, and there's not much more that we can do
     21   // to test it, hence I consider that we will have tested Random.h
     22   MatrixType m1 = MatrixType::Random(rows, cols),
     23              m2 = MatrixType::Random(rows, cols),
     24              m3(rows, cols),
     25              mzero = MatrixType::Zero(rows, cols),
     26              square = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>::Random(rows, rows);
     27   VectorType v1 = VectorType::Random(rows),
     28              vzero = VectorType::Zero(rows);
     29 
     30   Scalar x = ei_random<Scalar>();
     31 
     32   int r = ei_random<int>(0, rows-1),
     33       c = ei_random<int>(0, cols-1);
     34 
     35   m1.coeffRef(r,c) = x;
     36   VERIFY_IS_APPROX(x, m1.coeff(r,c));
     37   m1(r,c) = x;
     38   VERIFY_IS_APPROX(x, m1(r,c));
     39   v1.coeffRef(r) = x;
     40   VERIFY_IS_APPROX(x, v1.coeff(r));
     41   v1(r) = x;
     42   VERIFY_IS_APPROX(x, v1(r));
     43   v1[r] = x;
     44   VERIFY_IS_APPROX(x, v1[r]);
     45 
     46   VERIFY_IS_APPROX(               v1,    v1);
     47   VERIFY_IS_NOT_APPROX(           v1,    2*v1);
     48   VERIFY_IS_MUCH_SMALLER_THAN(    vzero, v1);
     49   if(NumTraits<Scalar>::HasFloatingPoint)
     50     VERIFY_IS_MUCH_SMALLER_THAN(  vzero, v1.norm());
     51   VERIFY_IS_NOT_MUCH_SMALLER_THAN(v1,    v1);
     52   VERIFY_IS_APPROX(               vzero, v1-v1);
     53   VERIFY_IS_APPROX(               m1,    m1);
     54   VERIFY_IS_NOT_APPROX(           m1,    2*m1);
     55   VERIFY_IS_MUCH_SMALLER_THAN(    mzero, m1);
     56   VERIFY_IS_NOT_MUCH_SMALLER_THAN(m1,    m1);
     57   VERIFY_IS_APPROX(               mzero, m1-m1);
     58 
     59   // always test operator() on each read-only expression class,
     60   // in order to check const-qualifiers.
     61   // indeed, if an expression class (here Zero) is meant to be read-only,
     62   // hence has no _write() method, the corresponding MatrixBase method (here zero())
     63   // should return a const-qualified object so that it is the const-qualified
     64   // operator() that gets called, which in turn calls _read().
     65   VERIFY_IS_MUCH_SMALLER_THAN(MatrixType::Zero(rows,cols)(r,c), static_cast<Scalar>(1));
     66 
     67   // now test copying a row-vector into a (column-)vector and conversely.
     68   square.col(r) = square.row(r).eval();
     69   Matrix<Scalar, 1, MatrixType::RowsAtCompileTime> rv(rows);
     70   Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> cv(rows);
     71   rv = square.row(r);
     72   cv = square.col(r);
     73   VERIFY_IS_APPROX(rv, cv.transpose());
     74 
     75   if(cols!=1 && rows!=1 && MatrixType::SizeAtCompileTime!=Dynamic)
     76   {
     77     VERIFY_RAISES_ASSERT(m1 = (m2.block(0,0, rows-1, cols-1)));
     78   }
     79 
     80   VERIFY_IS_APPROX(m3 = m1,m1);
     81   MatrixType m4;
     82   VERIFY_IS_APPROX(m4 = m1,m1);
     83 
     84   // test swap
     85   m3 = m1;
     86   m1.swap(m2);
     87   VERIFY_IS_APPROX(m3, m2);
     88   if(rows*cols>=3)
     89   {
     90     VERIFY_IS_NOT_APPROX(m3, m1);
     91   }
     92 }
     93 
     94 void test_eigen2_basicstuff()
     95 {
     96   for(int i = 0; i < g_repeat; i++) {
     97     CALL_SUBTEST_1( basicStuff(Matrix<float, 1, 1>()) );
     98     CALL_SUBTEST_2( basicStuff(Matrix4d()) );
     99     CALL_SUBTEST_3( basicStuff(MatrixXcf(3, 3)) );
    100     CALL_SUBTEST_4( basicStuff(MatrixXi(8, 12)) );
    101     CALL_SUBTEST_5( basicStuff(MatrixXcd(20, 20)) );
    102     CALL_SUBTEST_6( basicStuff(Matrix<float, 100, 100>()) );
    103     CALL_SUBTEST_7( basicStuff(Matrix<long double,Dynamic,Dynamic>(10,10)) );
    104   }
    105 }
    106