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
|
// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
#include "main.h"
#include <Eigen/LU>
#include <algorithm>
template<typename T> std::string type_name() { return "other"; }
template<> std::string type_name<float>() { return "float"; }
template<> std::string type_name<double>() { return "double"; }
template<> std::string type_name<int>() { return "int"; }
template<> std::string type_name<std::complex<float> >() { return "complex<float>"; }
template<> std::string type_name<std::complex<double> >() { return "complex<double>"; }
template<> std::string type_name<std::complex<int> >() { return "complex<int>"; }
#define EIGEN_DEBUG_VAR(x) std::cerr << #x << " = " << x << std::endl;
template<typename T> inline typename NumTraits<T>::Real epsilon()
{
return std::numeric_limits<typename NumTraits<T>::Real>::epsilon();
}
template<typename MatrixType> void inverse_permutation_4x4()
{
typedef typename MatrixType::Scalar Scalar;
typedef typename MatrixType::RealScalar RealScalar;
Vector4i indices(0,1,2,3);
for(int i = 0; i < 24; ++i)
{
MatrixType m = MatrixType::Zero();
m(indices(0),0) = 1;
m(indices(1),1) = 1;
m(indices(2),2) = 1;
m(indices(3),3) = 1;
MatrixType inv = m.inverse();
double error = double( (m*inv-MatrixType::Identity()).norm() / epsilon<Scalar>() );
VERIFY(error == 0.0);
std::next_permutation(indices.data(),indices.data()+4);
}
}
template<typename MatrixType> void inverse_general_4x4(int repeat)
{
typedef typename MatrixType::Scalar Scalar;
typedef typename MatrixType::RealScalar RealScalar;
double error_sum = 0., error_max = 0.;
for(int i = 0; i < repeat; ++i)
{
MatrixType m;
RealScalar absdet;
do {
m = MatrixType::Random();
absdet = ei_abs(m.determinant());
} while(absdet < 10 * epsilon<Scalar>());
MatrixType inv = m.inverse();
double error = double( (m*inv-MatrixType::Identity()).norm() * absdet / epsilon<Scalar>() );
error_sum += error;
error_max = std::max(error_max, error);
}
std::cerr << "inverse_general_4x4, Scalar = " << type_name<Scalar>() << std::endl;
double error_avg = error_sum / repeat;
EIGEN_DEBUG_VAR(error_avg);
EIGEN_DEBUG_VAR(error_max);
VERIFY(error_avg < (NumTraits<Scalar>::IsComplex ? 8.0 : 1.25));
VERIFY(error_max < (NumTraits<Scalar>::IsComplex ? 64.0 : 20.0));
}
void test_eigen2_prec_inverse_4x4()
{
CALL_SUBTEST_1((inverse_permutation_4x4<Matrix4f>()));
CALL_SUBTEST_1(( inverse_general_4x4<Matrix4f>(200000 * g_repeat) ));
CALL_SUBTEST_2((inverse_permutation_4x4<Matrix<double,4,4,RowMajor> >()));
CALL_SUBTEST_2(( inverse_general_4x4<Matrix<double,4,4,RowMajor> >(200000 * g_repeat) ));
CALL_SUBTEST_3((inverse_permutation_4x4<Matrix4cf>()));
CALL_SUBTEST_3((inverse_general_4x4<Matrix4cf>(50000 * g_repeat)));
}
|
