1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
|
// This file is part of Eigen, a lightweight C++ template library
// for linear algebra. Eigen itself is part of the KDE project.
//
// Copyright (C) 2006-2007 Benoit Jacob <jacob@math.jussieu.fr>
//
// Eigen is free software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the Free Software
// Foundation; either version 2 or (at your option) any later version.
//
// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
// FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
// details.
//
// You should have received a copy of the GNU General Public License along
// with Eigen; if not, write to the Free Software Foundation, Inc., 51
// Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
//
// As a special exception, if other files instantiate templates or use macros
// or functions from this file, or you compile this file and link it
// with other works to produce a work based on this file, this file does not
// by itself cause the resulting work to be covered by the GNU General Public
// License. This exception does not invalidate any other reasons why a work
// based on this file might be covered by the GNU General Public License.
#include "main.h"
template<typename MatrixType> void basicStuff(const MatrixType& m)
{
typedef typename MatrixType::Scalar Scalar;
typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
int rows = m.rows();
int cols = m.cols();
MatrixType m1 = MatrixType::random(rows, cols),
m2 = MatrixType::random(rows, cols),
m3,
mzero = MatrixType::zero(rows, cols),
identity = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>
::identity(rows),
square = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>
::random(rows, rows);
VectorType v1 = VectorType::random(rows),
v2 = VectorType::random(rows),
vzero = VectorType::zero(rows);
Scalar s1 = NumTraits<Scalar>::random(),
s2 = NumTraits<Scalar>::random();
QVERIFY(v1.isApprox(v1));
QVERIFY(!v1.isApprox(2*v1));
QVERIFY(vzero.isMuchSmallerThan(v1));
QVERIFY(vzero.isMuchSmallerThan(v1.norm()));
QVERIFY(!v1.isMuchSmallerThan(v1));
QVERIFY(m1.isApprox(m1));
QVERIFY(!m1.isApprox(2*m1));
QVERIFY(mzero.isMuchSmallerThan(m1));
QVERIFY(!m1.isMuchSmallerThan(m1));
QVERIFY(vzero.isApprox(v1-v1));
QVERIFY(mzero.isApprox(m1-m1));
QVERIFY((m1+m1).isApprox(2 * m1));
QVERIFY((m1 * s1).isApprox(s1 * m1));
QVERIFY(((m1 + m2) * s1).isApprox(s1 * m1 + s1 * m2));
QVERIFY(((s1 + s2) * m1).isApprox(m1 * s1 + m1 * s2));
m3 = m2;
QVERIFY((m3 += m1).isApprox(m1 + m2));
m3 = m2;
QVERIFY((m3 -= m1).isApprox(-m1 + m2));
m3 = m2;
QVERIFY((m3 *= s1).isApprox(s1 * m2));
m3 = m2;
if(NumTraits<Scalar>::HasFloatingPoint
&& s1 != static_cast<Scalar>(0))
QVERIFY((m3 /= s1).isApprox(m2 / s1));
QVERIFY(((m1 * m1.transpose()) * m2).isApprox(m1 * (m1.transpose() * m2)));
m3 = m1;
m3 *= (m1.transpose() * m2);
QVERIFY(m3.isApprox(m1 * (m1.transpose() * m2)));
QVERIFY(m3.isApprox(m1.lazyProduct(m1.transpose() * m2)));
QVERIFY(m1.isApprox(identity * m1));
QVERIFY(v1.isApprox(identity * v1));
QVERIFY((square * (m1 + m2)).isApprox(square * m1 + square * m2));
}
void EigenTest::testBasicStuff()
{
basicStuff(Matrix<float, 1, 1>());
basicStuff(Matrix<complex<double>, 4, 4>());
basicStuff(MatrixXcf(3, 3));
basicStuff(MatrixXi(8, 12));
basicStuff(MatrixXd(20, 20));
}
|
