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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@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              identity = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>
27                               ::Identity(rows, rows),
28              square = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>::Random(rows, rows);
29   VectorType v1 = VectorType::Random(rows),
30              v2 = VectorType::Random(rows),
31              vzero = VectorType::Zero(rows);
32 
33   Scalar x = ei_random<Scalar>();
34 
35   int r = ei_random<int>(0, rows-1),
36       c = ei_random<int>(0, cols-1);
37 
38   m1.coeffRef(r,c) = x;
39   VERIFY_IS_APPROX(x, m1.coeff(r,c));
40   m1(r,c) = x;
41   VERIFY_IS_APPROX(x, m1(r,c));
42   v1.coeffRef(r) = x;
43   VERIFY_IS_APPROX(x, v1.coeff(r));
44   v1(r) = x;
45   VERIFY_IS_APPROX(x, v1(r));
46   v1[r] = x;
47   VERIFY_IS_APPROX(x, v1[r]);
48 
49   VERIFY_IS_APPROX(               v1,    v1);
50   VERIFY_IS_NOT_APPROX(           v1,    2*v1);
51   VERIFY_IS_MUCH_SMALLER_THAN(    vzero, v1);
52   if(NumTraits<Scalar>::HasFloatingPoint)
53     VERIFY_IS_MUCH_SMALLER_THAN(  vzero, v1.norm());
54   VERIFY_IS_NOT_MUCH_SMALLER_THAN(v1,    v1);
55   VERIFY_IS_APPROX(               vzero, v1-v1);
56   VERIFY_IS_APPROX(               m1,    m1);
57   VERIFY_IS_NOT_APPROX(           m1,    2*m1);
58   VERIFY_IS_MUCH_SMALLER_THAN(    mzero, m1);
59   VERIFY_IS_NOT_MUCH_SMALLER_THAN(m1,    m1);
60   VERIFY_IS_APPROX(               mzero, m1-m1);
61 
62   // always test operator() on each read-only expression class,
63   // in order to check const-qualifiers.
64   // indeed, if an expression class (here Zero) is meant to be read-only,
65   // hence has no _write() method, the corresponding MatrixBase method (here zero())
66   // should return a const-qualified object so that it is the const-qualified
67   // operator() that gets called, which in turn calls _read().
68   VERIFY_IS_MUCH_SMALLER_THAN(MatrixType::Zero(rows,cols)(r,c), static_cast<Scalar>(1));
69 
70   // now test copying a row-vector into a (column-)vector and conversely.
71   square.col(r) = square.row(r).eval();
72   Matrix<Scalar, 1, MatrixType::RowsAtCompileTime> rv(rows);
73   Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> cv(rows);
74   rv = square.row(r);
75   cv = square.col(r);
76   VERIFY_IS_APPROX(rv, cv.transpose());
77 
78   if(cols!=1 && rows!=1 && MatrixType::SizeAtCompileTime!=Dynamic)
79   {
80     VERIFY_RAISES_ASSERT(m1 = (m2.block(0,0, rows-1, cols-1)));
81   }
82 
83   VERIFY_IS_APPROX(m3 = m1,m1);
84   MatrixType m4;
85   VERIFY_IS_APPROX(m4 = m1,m1);
86 
87   // test swap
88   m3 = m1;
89   m1.swap(m2);
90   VERIFY_IS_APPROX(m3, m2);
91   if(rows*cols>=3)
92   {
93     VERIFY_IS_NOT_APPROX(m3, m1);
94   }
95 }
96 
test_eigen2_basicstuff()97 void test_eigen2_basicstuff()
98 {
99   for(int i = 0; i < g_repeat; i++) {
100     CALL_SUBTEST_1( basicStuff(Matrix<float, 1, 1>()) );
101     CALL_SUBTEST_2( basicStuff(Matrix4d()) );
102     CALL_SUBTEST_3( basicStuff(MatrixXcf(3, 3)) );
103     CALL_SUBTEST_4( basicStuff(MatrixXi(8, 12)) );
104     CALL_SUBTEST_5( basicStuff(MatrixXcd(20, 20)) );
105     CALL_SUBTEST_6( basicStuff(Matrix<float, 100, 100>()) );
106     CALL_SUBTEST_7( basicStuff(Matrix<long double,Dynamic,Dynamic>(10,10)) );
107   }
108 }
109