1// This file is part of Eigen, a lightweight C++ template library 2// for linear algebra. 3// 4// Copyright (C) 2012 Alexey Korepanov <kaikaikai@yandex.ru> 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#include <limits> 12#include <Eigen/Eigenvalues> 13 14template<typename MatrixType> void real_qz(const MatrixType& m) 15{ 16 /* this test covers the following files: 17 RealQZ.h 18 */ 19 using std::abs; 20 typedef typename MatrixType::Index Index; 21 typedef typename MatrixType::Scalar Scalar; 22 23 Index dim = m.cols(); 24 25 MatrixType A = MatrixType::Random(dim,dim), 26 B = MatrixType::Random(dim,dim); 27 28 RealQZ<MatrixType> qz(A,B); 29 30 VERIFY_IS_EQUAL(qz.info(), Success); 31 // check for zeros 32 bool all_zeros = true; 33 for (Index i=0; i<A.cols(); i++) 34 for (Index j=0; j<i; j++) { 35 if (abs(qz.matrixT()(i,j))!=Scalar(0.0)) 36 all_zeros = false; 37 if (j<i-1 && abs(qz.matrixS()(i,j))!=Scalar(0.0)) 38 all_zeros = false; 39 if (j==i-1 && j>0 && abs(qz.matrixS()(i,j))!=Scalar(0.0) && abs(qz.matrixS()(i-1,j-1))!=Scalar(0.0)) 40 all_zeros = false; 41 } 42 VERIFY_IS_EQUAL(all_zeros, true); 43 VERIFY_IS_APPROX(qz.matrixQ()*qz.matrixS()*qz.matrixZ(), A); 44 VERIFY_IS_APPROX(qz.matrixQ()*qz.matrixT()*qz.matrixZ(), B); 45 VERIFY_IS_APPROX(qz.matrixQ()*qz.matrixQ().adjoint(), MatrixType::Identity(dim,dim)); 46 VERIFY_IS_APPROX(qz.matrixZ()*qz.matrixZ().adjoint(), MatrixType::Identity(dim,dim)); 47} 48 49void test_real_qz() 50{ 51 int s = 0; 52 for(int i = 0; i < g_repeat; i++) { 53 CALL_SUBTEST_1( real_qz(Matrix4f()) ); 54 s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/4); 55 CALL_SUBTEST_2( real_qz(MatrixXd(s,s)) ); 56 57 // some trivial but implementation-wise tricky cases 58 CALL_SUBTEST_2( real_qz(MatrixXd(1,1)) ); 59 CALL_SUBTEST_2( real_qz(MatrixXd(2,2)) ); 60 CALL_SUBTEST_3( real_qz(Matrix<double,1,1>()) ); 61 CALL_SUBTEST_4( real_qz(Matrix2d()) ); 62 } 63 64 TEST_SET_BUT_UNUSED_VARIABLE(s) 65} 66