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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
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 
linearStructure(const MatrixType & m)12 template<typename MatrixType> void linearStructure(const MatrixType& m)
13 {
14   using std::abs;
15   /* this test covers the following files:
16      CwiseUnaryOp.h, CwiseBinaryOp.h, SelfCwiseBinaryOp.h
17   */
18   typedef typename MatrixType::Index Index;
19   typedef typename MatrixType::Scalar Scalar;
20 
21   Index rows = m.rows();
22   Index cols = m.cols();
23 
24   // this test relies a lot on Random.h, and there's not much more that we can do
25   // to test it, hence I consider that we will have tested Random.h
26   MatrixType m1 = MatrixType::Random(rows, cols),
27              m2 = MatrixType::Random(rows, cols),
28              m3(rows, cols);
29 
30   Scalar s1 = internal::random<Scalar>();
31   while (abs(s1)<1e-3) s1 = internal::random<Scalar>();
32 
33   Index r = internal::random<Index>(0, rows-1),
34         c = internal::random<Index>(0, cols-1);
35 
36   VERIFY_IS_APPROX(-(-m1),                  m1);
37   VERIFY_IS_APPROX(m1+m1,                   2*m1);
38   VERIFY_IS_APPROX(m1+m2-m1,                m2);
39   VERIFY_IS_APPROX(-m2+m1+m2,               m1);
40   VERIFY_IS_APPROX(m1*s1,                   s1*m1);
41   VERIFY_IS_APPROX((m1+m2)*s1,              s1*m1+s1*m2);
42   VERIFY_IS_APPROX((-m1+m2)*s1,             -s1*m1+s1*m2);
43   m3 = m2; m3 += m1;
44   VERIFY_IS_APPROX(m3,                      m1+m2);
45   m3 = m2; m3 -= m1;
46   VERIFY_IS_APPROX(m3,                      m2-m1);
47   m3 = m2; m3 *= s1;
48   VERIFY_IS_APPROX(m3,                      s1*m2);
49   if(!NumTraits<Scalar>::IsInteger)
50   {
51     m3 = m2; m3 /= s1;
52     VERIFY_IS_APPROX(m3,                    m2/s1);
53   }
54 
55   // again, test operator() to check const-qualification
56   VERIFY_IS_APPROX((-m1)(r,c), -(m1(r,c)));
57   VERIFY_IS_APPROX((m1-m2)(r,c), (m1(r,c))-(m2(r,c)));
58   VERIFY_IS_APPROX((m1+m2)(r,c), (m1(r,c))+(m2(r,c)));
59   VERIFY_IS_APPROX((s1*m1)(r,c), s1*(m1(r,c)));
60   VERIFY_IS_APPROX((m1*s1)(r,c), (m1(r,c))*s1);
61   if(!NumTraits<Scalar>::IsInteger)
62     VERIFY_IS_APPROX((m1/s1)(r,c), (m1(r,c))/s1);
63 
64   // use .block to disable vectorization and compare to the vectorized version
65   VERIFY_IS_APPROX(m1+m1.block(0,0,rows,cols), m1+m1);
66   VERIFY_IS_APPROX(m1.cwiseProduct(m1.block(0,0,rows,cols)), m1.cwiseProduct(m1));
67   VERIFY_IS_APPROX(m1 - m1.block(0,0,rows,cols), m1 - m1);
68   VERIFY_IS_APPROX(m1.block(0,0,rows,cols) * s1, m1 * s1);
69 }
70 
test_linearstructure()71 void test_linearstructure()
72 {
73   for(int i = 0; i < g_repeat; i++) {
74     CALL_SUBTEST_1( linearStructure(Matrix<float, 1, 1>()) );
75     CALL_SUBTEST_2( linearStructure(Matrix2f()) );
76     CALL_SUBTEST_3( linearStructure(Vector3d()) );
77     CALL_SUBTEST_4( linearStructure(Matrix4d()) );
78     CALL_SUBTEST_5( linearStructure(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2), internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))) );
79     CALL_SUBTEST_6( linearStructure(MatrixXf (internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
80     CALL_SUBTEST_7( linearStructure(MatrixXi (internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
81     CALL_SUBTEST_8( linearStructure(MatrixXcd(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2), internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))) );
82     CALL_SUBTEST_9( linearStructure(ArrayXXf (internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
83   }
84 }
85