1 | // This file is part of Eigen, a lightweight C++ template library
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2 | // for linear algebra.
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3 | //
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4 | // Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com>
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5 | //
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6 | // This Source Code Form is subject to the terms of the Mozilla
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7 | // Public License v. 2.0. If a copy of the MPL was not distributed
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8 | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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9 |
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10 | #include "main.h"
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11 | #include <Eigen/LU>
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12 | #include <algorithm>
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13 |
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14 | template<typename MatrixType> void inverse_permutation_4x4()
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15 | {
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16 | typedef typename MatrixType::Scalar Scalar;
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17 | Vector4i indices(0,1,2,3);
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18 | for(int i = 0; i < 24; ++i)
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19 | {
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20 | MatrixType m = PermutationMatrix<4>(indices);
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21 | MatrixType inv = m.inverse();
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22 | double error = double( (m*inv-MatrixType::Identity()).norm() / NumTraits<Scalar>::epsilon() );
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23 | EIGEN_DEBUG_VAR(error)
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24 | VERIFY(error == 0.0);
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25 | std::next_permutation(indices.data(),indices.data()+4);
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26 | }
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27 | }
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28 |
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29 | template<typename MatrixType> void inverse_general_4x4(int repeat)
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30 | {
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31 | using std::abs;
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32 | typedef typename MatrixType::Scalar Scalar;
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33 | typedef typename MatrixType::RealScalar RealScalar;
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34 | double error_sum = 0., error_max = 0.;
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35 | for(int i = 0; i < repeat; ++i)
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36 | {
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37 | MatrixType m;
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38 | RealScalar absdet;
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39 | do {
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40 | m = MatrixType::Random();
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41 | absdet = abs(m.determinant());
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42 | } while(absdet < NumTraits<Scalar>::epsilon());
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43 | MatrixType inv = m.inverse();
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44 | double error = double( (m*inv-MatrixType::Identity()).norm() * absdet / NumTraits<Scalar>::epsilon() );
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45 | error_sum += error;
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46 | error_max = (std::max)(error_max, error);
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47 | }
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48 | std::cerr << "inverse_general_4x4, Scalar = " << type_name<Scalar>() << std::endl;
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49 | double error_avg = error_sum / repeat;
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50 | EIGEN_DEBUG_VAR(error_avg);
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51 | EIGEN_DEBUG_VAR(error_max);
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52 | // FIXME that 1.25 used to be a 1.0 until the NumTraits changes on 28 April 2010, what's going wrong??
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53 | // FIXME that 1.25 used to be 1.2 until we tested gcc 4.1 on 30 June 2010 and got 1.21.
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54 | VERIFY(error_avg < (NumTraits<Scalar>::IsComplex ? 8.0 : 1.25));
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55 | VERIFY(error_max < (NumTraits<Scalar>::IsComplex ? 64.0 : 20.0));
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56 | }
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57 |
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58 | void test_prec_inverse_4x4()
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59 | {
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60 | CALL_SUBTEST_1((inverse_permutation_4x4<Matrix4f>()));
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61 | CALL_SUBTEST_1(( inverse_general_4x4<Matrix4f>(200000 * g_repeat) ));
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62 |
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63 | CALL_SUBTEST_2((inverse_permutation_4x4<Matrix<double,4,4,RowMajor> >()));
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64 | CALL_SUBTEST_2(( inverse_general_4x4<Matrix<double,4,4,RowMajor> >(200000 * g_repeat) ));
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65 |
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66 | CALL_SUBTEST_3((inverse_permutation_4x4<Matrix4cf>()));
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67 | CALL_SUBTEST_3((inverse_general_4x4<Matrix4cf>(50000 * g_repeat)));
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68 | }
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