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@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 
basicStuff(const MatrixType & m)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 
test_eigen2_basicstuff()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