From a16a36ecf2596fadffd6474d059c334baa905c06 Mon Sep 17 00:00:00 2001
From: Jitse Niesen <jitse@maths.leeds.ac.uk>
Date: Fri, 2 Apr 2010 14:32:20 +0100
Subject: Add tests for real and complex Schur; extend test for Hessenberg.
 Make a minor correction to the ComplexSchur class.

---
 test/schur_complex.cpp | 67 ++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 67 insertions(+)
 create mode 100644 test/schur_complex.cpp

(limited to 'test/schur_complex.cpp')

diff --git a/test/schur_complex.cpp b/test/schur_complex.cpp
new file mode 100644
index 000000000..3659a074c
--- /dev/null
+++ b/test/schur_complex.cpp
@@ -0,0 +1,67 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra. Eigen itself is part of the KDE project.
+//
+// Copyright (C) 2010 Jitse Niesen <jitse@maths.leeds.ac.uk>
+//
+// 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/Eigenvalues>
+
+template<typename MatrixType> void schur(int size = MatrixType::ColsAtCompileTime)
+{
+  typedef typename ComplexSchur<MatrixType>::ComplexScalar ComplexScalar;
+  typedef typename ComplexSchur<MatrixType>::ComplexMatrixType ComplexMatrixType;
+
+  // Test basic functionality: T is triangular and A = U T U*
+  for(int counter = 0; counter < g_repeat; ++counter) {
+    MatrixType A = MatrixType::Random(size, size);
+    ComplexSchur<MatrixType> schurOfA(A);
+    ComplexMatrixType U = schurOfA.matrixU();
+    ComplexMatrixType T = schurOfA.matrixT();
+    for(int row = 1; row < size; ++row) {
+      for(int col = 0; col < row; ++col) {
+	VERIFY(T(row,col) == (typename MatrixType::Scalar)0);
+      }
+    }
+    VERIFY_IS_APPROX(A.template cast<ComplexScalar>(), U * T * U.adjoint());
+  }
+
+  // Test asserts when not initialized
+  ComplexSchur<MatrixType> csUninitialized;
+  VERIFY_RAISES_ASSERT(csUninitialized.matrixT());
+  VERIFY_RAISES_ASSERT(csUninitialized.matrixU());
+  
+  // Test whether compute() and constructor returns same result
+  MatrixType A = MatrixType::Random(size, size);
+  ComplexSchur<MatrixType> cs1;
+  cs1.compute(A);
+  ComplexSchur<MatrixType> cs2(A);
+  VERIFY_IS_EQUAL(cs1.matrixT(), cs2.matrixT());
+  VERIFY_IS_EQUAL(cs1.matrixU(), cs2.matrixU());
+}
+
+void test_schur_complex()
+{
+  CALL_SUBTEST_1(( schur<Matrix4cd>() ));
+  CALL_SUBTEST_2(( schur<MatrixXcf>(ei_random<int>(1,50)) ));
+  CALL_SUBTEST_3(( schur<Matrix<std::complex<float>, 1, 1> >() ));
+  CALL_SUBTEST_4(( schur<Matrix<float, 3, 3, Eigen::RowMajor> >() ));
+}
-- 
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