Add missing test files for Polynomials module.

1 files changed, 124 insertions, 0 deletions

diff --git a/unsupported/test/polynomialutils.cpp b/unsupported/test/polynomialutils.cpp
new file mode 100644
index 000000000..b1afaccc6
--- /dev/null
+++ b/unsupported/test/polynomialutils.cpp
@@ -0,0 +1,124 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2010 Manuel Yguel <manuel.yguel@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/Polynomials>
+#include <iostream>
+
+using namespace std;
+
+template<int Size>
+struct ei_increment_if_fixed_size
+{
+  enum {
+    ret = (Size == Dynamic) ? Dynamic : Size+1
+  };
+};
+
+template<typename _Scalar, int _Deg>
+void realRoots_to_monicPolynomial_test(int deg)
+{
+  typedef ei_increment_if_fixed_size<_Deg>            Dim;
+  typedef Matrix<_Scalar,Dim::ret,1>                  PolynomialType;
+  typedef Matrix<_Scalar,_Deg,1>                      EvalRootsType;
+
+  PolynomialType pols(deg+1);
+  EvalRootsType roots = EvalRootsType::Random(deg);
+  realRoots_to_monicPolynomial( roots, pols );
+
+  EvalRootsType evr( deg );
+  for( int i=0; i<roots.size(); ++i ){
+    evr[i] = std::abs( poly_eval( pols, roots[i] ) ); }
+
+  bool evalToZero = evr.isZero( test_precision<_Scalar>() );
+  if( !evalToZero ){
+    cerr << evr.transpose() << endl; }
+  VERIFY( evalToZero );
+}
+
+template<typename _Scalar> void realRoots_to_monicPolynomial_scalar()
+{
+  CALL_SUBTEST_2( (realRoots_to_monicPolynomial_test<_Scalar,2>(2)) );
+  CALL_SUBTEST_3( (realRoots_to_monicPolynomial_test<_Scalar,3>(3)) );
+  CALL_SUBTEST_4( (realRoots_to_monicPolynomial_test<_Scalar,4>(4)) );
+  CALL_SUBTEST_5( (realRoots_to_monicPolynomial_test<_Scalar,5>(5)) );
+  CALL_SUBTEST_6( (realRoots_to_monicPolynomial_test<_Scalar,6>(6)) );
+  CALL_SUBTEST_7( (realRoots_to_monicPolynomial_test<_Scalar,7>(7)) );
+  CALL_SUBTEST_8( (realRoots_to_monicPolynomial_test<_Scalar,17>(17)) );
+
+  int deg = ei_random<int>(18,26);
+  CALL_SUBTEST_9( (realRoots_to_monicPolynomial_test<_Scalar,Dynamic>(deg)) );
+}
+
+
+
+
+template<typename _Scalar, int _Deg>
+void CauchyBounds(int deg)
+{
+  typedef ei_increment_if_fixed_size<_Deg>            Dim;
+  typedef Matrix<_Scalar,Dim::ret,1>                  PolynomialType;
+  typedef Matrix<_Scalar,_Deg,1>                      EvalRootsType;
+
+  PolynomialType pols(deg+1);
+  EvalRootsType roots = EvalRootsType::Random(deg);
+  realRoots_to_monicPolynomial( roots, pols );
+  _Scalar M = cauchy_max_bound( pols );
+  _Scalar m = cauchy_min_bound( pols );
+  _Scalar Max = roots.array().abs().maxCoeff();
+  _Scalar min = roots.array().abs().minCoeff();
+  bool eval = (M >= Max) && (m <= min);
+  if( !eval )
+  {
+    cerr << "Roots: " << roots << endl;
+    cerr << "Bounds: (" << m << ", " << M << ")" << endl;
+    cerr << "Min,Max: (" << min << ", " << Max << ")" << endl;
+  }
+  VERIFY( eval );
+}
+
+template<typename _Scalar> void CauchyBounds_scalar()
+{
+  CALL_SUBTEST_2( (CauchyBounds<_Scalar,2>(2)) );
+  CALL_SUBTEST_3( (CauchyBounds<_Scalar,3>(3)) );
+  CALL_SUBTEST_4( (CauchyBounds<_Scalar,4>(4)) );
+  CALL_SUBTEST_5( (CauchyBounds<_Scalar,5>(5)) );
+  CALL_SUBTEST_6( (CauchyBounds<_Scalar,6>(6)) );
+  CALL_SUBTEST_7( (CauchyBounds<_Scalar,7>(7)) );
+  CALL_SUBTEST_8( (CauchyBounds<_Scalar,17>(17)) );
+
+  int deg = ei_random<int>(18,26);
+  CALL_SUBTEST_9( (CauchyBounds<_Scalar,Dynamic>(deg)) );
+}
+
+void test_polynomialutils()
+{
+  for(int i = 0; i < g_repeat; i++)
+  {
+    realRoots_to_monicPolynomial_scalar<double>();
+    realRoots_to_monicPolynomial_scalar<float>();
+    CauchyBounds_scalar<double>();
+    CauchyBounds_scalar<float>();
+  }
+}