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Clang-format tests, examples, libraries, benchmarks, etc.

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This commit is contained in:
Antonio Sánchez
2023-12-05 21:22:55 +00:00
committed by Rasmus Munk Larsen
parent 3252ecc7a4
commit 46e9cdb7fe
876 changed files with 33453 additions and 37795 deletions
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32
doc/snippets/RealQZ_compute.cpp
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@@ -1,17 +1,25 @@
MatrixXf A = MatrixXf::Random(4,4);
MatrixXf B = MatrixXf::Random(4,4);
RealQZ<MatrixXf> qz(4); // preallocate space for 4x4 matrices
qz.compute(A,B); // A = Q S Z, B = Q T Z
MatrixXf A = MatrixXf::Random(4, 4);
MatrixXf B = MatrixXf::Random(4, 4);
RealQZ<MatrixXf> qz(4); // preallocate space for 4x4 matrices
qz.compute(A, B); // A = Q S Z, B = Q T Z
// print original matrices and result of decomposition
cout << "A:\n" << A << "\n" << "B:\n" << B << "\n";
cout << "S:\n" << qz.matrixS() << "\n" << "T:\n" << qz.matrixT() << "\n";
cout << "Q:\n" << qz.matrixQ() << "\n" << "Z:\n" << qz.matrixZ() << "\n";
cout << "A:\n"
<< A << "\n"
<< "B:\n"
<< B << "\n";
cout << "S:\n"
<< qz.matrixS() << "\n"
<< "T:\n"
<< qz.matrixT() << "\n";
cout << "Q:\n"
<< qz.matrixQ() << "\n"
<< "Z:\n"
<< qz.matrixZ() << "\n";
// verify precision
cout << "\nErrors:"
<< "\n|A-QSZ|: " << (A-qz.matrixQ()*qz.matrixS()*qz.matrixZ()).norm()
<< ", |B-QTZ|: " << (B-qz.matrixQ()*qz.matrixT()*qz.matrixZ()).norm()
<< "\n|QQ* - I|: " << (qz.matrixQ()*qz.matrixQ().adjoint() - MatrixXf::Identity(4,4)).norm()
<< ", |ZZ* - I|: " << (qz.matrixZ()*qz.matrixZ().adjoint() - MatrixXf::Identity(4,4)).norm()
<< "\n";
<< "\n|A-QSZ|: " << (A - qz.matrixQ() * qz.matrixS() * qz.matrixZ()).norm()
<< ", |B-QTZ|: " << (B - qz.matrixQ() * qz.matrixT() * qz.matrixZ()).norm()
<< "\n|QQ* - I|: " << (qz.matrixQ() * qz.matrixQ().adjoint() - MatrixXf::Identity(4, 4)).norm()
<< ", |ZZ* - I|: " << (qz.matrixZ() * qz.matrixZ().adjoint() - MatrixXf::Identity(4, 4)).norm() << "\n";