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Diffstat (limited to 'eigen/unsupported/test/polynomialutils.cpp')
-rw-r--r-- | eigen/unsupported/test/polynomialutils.cpp | 113 |
1 files changed, 113 insertions, 0 deletions
diff --git a/eigen/unsupported/test/polynomialutils.cpp b/eigen/unsupported/test/polynomialutils.cpp new file mode 100644 index 0000000..5fc9684 --- /dev/null +++ b/eigen/unsupported/test/polynomialutils.cpp @@ -0,0 +1,113 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. +// +// Copyright (C) 2010 Manuel Yguel <manuel.yguel@gmail.com> +// +// This Source Code Form is subject to the terms of the Mozilla +// Public License v. 2.0. If a copy of the MPL was not distributed +// with this file, You can obtain one at http://mozilla.org/MPL/2.0/. + +#include "main.h" +#include <unsupported/Eigen/Polynomials> +#include <iostream> + +using namespace std; + +namespace Eigen { +namespace internal { +template<int Size> +struct increment_if_fixed_size +{ + enum { + ret = (Size == Dynamic) ? Dynamic : Size+1 + }; +}; +} +} + +template<typename _Scalar, int _Deg> +void realRoots_to_monicPolynomial_test(int deg) +{ + typedef internal::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); + roots_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)) ); + + CALL_SUBTEST_9( (realRoots_to_monicPolynomial_test<_Scalar,Dynamic>( + internal::random<int>(18,26) )) ); +} + + + + +template<typename _Scalar, int _Deg> +void CauchyBounds(int deg) +{ + typedef internal::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); + roots_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)) ); + + CALL_SUBTEST_9( (CauchyBounds<_Scalar,Dynamic>( + internal::random<int>(18,26) )) ); +} + +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>(); + } +} |