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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// Eigen is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 3 of the License, or (at your option) any later version.
+//
+// Alternatively, 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 of
+// the License, 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 Lesser General Public License or the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License and a copy of the GNU General Public License along with
+// Eigen. If not, see <http://www.gnu.org/licenses/>.
+
+#include "main.h"
+#include <Eigen/LU>
+#include <algorithm>
+
+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 = PermutationMatrix<4>(indices);
+ 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 < 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 : 1.0));
+ VERIFY(error_max < (NumTraits<Scalar>::IsComplex ? 64.0 : 20.0));
+}
+
+void test_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)));
+}