129 lines
4.2 KiB
C++
129 lines
4.2 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2010 Manuel Yguel <manuel.yguel@gmail.com>
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//
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// Eigen is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 3 of the License, or (at your option) any later version.
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//
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// Alternatively, you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of
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// the License, or (at your option) any later version.
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//
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// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License and a copy of the GNU General Public License along with
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// Eigen. If not, see <http://www.gnu.org/licenses/>.
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#include "main.h"
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#include <unsupported/Eigen/Polynomials>
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#include <iostream>
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using namespace std;
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namespace Eigen {
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namespace internal {
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template<int Size>
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struct increment_if_fixed_size
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{
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enum {
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ret = (Size == Dynamic) ? Dynamic : Size+1
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};
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};
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}
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}
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template<typename _Scalar, int _Deg>
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void realRoots_to_monicPolynomial_test(int deg)
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{
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typedef internal::increment_if_fixed_size<_Deg> Dim;
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typedef Matrix<_Scalar,Dim::ret,1> PolynomialType;
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typedef Matrix<_Scalar,_Deg,1> EvalRootsType;
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PolynomialType pols(deg+1);
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EvalRootsType roots = EvalRootsType::Random(deg);
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roots_to_monicPolynomial( roots, pols );
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EvalRootsType evr( deg );
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for( int i=0; i<roots.size(); ++i ){
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evr[i] = std::abs( poly_eval( pols, roots[i] ) ); }
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bool evalToZero = evr.isZero( test_precision<_Scalar>() );
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if( !evalToZero ){
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cerr << evr.transpose() << endl; }
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VERIFY( evalToZero );
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}
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template<typename _Scalar> void realRoots_to_monicPolynomial_scalar()
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{
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CALL_SUBTEST_2( (realRoots_to_monicPolynomial_test<_Scalar,2>(2)) );
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CALL_SUBTEST_3( (realRoots_to_monicPolynomial_test<_Scalar,3>(3)) );
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CALL_SUBTEST_4( (realRoots_to_monicPolynomial_test<_Scalar,4>(4)) );
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CALL_SUBTEST_5( (realRoots_to_monicPolynomial_test<_Scalar,5>(5)) );
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CALL_SUBTEST_6( (realRoots_to_monicPolynomial_test<_Scalar,6>(6)) );
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CALL_SUBTEST_7( (realRoots_to_monicPolynomial_test<_Scalar,7>(7)) );
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CALL_SUBTEST_8( (realRoots_to_monicPolynomial_test<_Scalar,17>(17)) );
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CALL_SUBTEST_9( (realRoots_to_monicPolynomial_test<_Scalar,Dynamic>(
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internal::random<int>(18,26) )) );
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}
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template<typename _Scalar, int _Deg>
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void CauchyBounds(int deg)
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{
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typedef internal::increment_if_fixed_size<_Deg> Dim;
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typedef Matrix<_Scalar,Dim::ret,1> PolynomialType;
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typedef Matrix<_Scalar,_Deg,1> EvalRootsType;
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PolynomialType pols(deg+1);
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EvalRootsType roots = EvalRootsType::Random(deg);
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roots_to_monicPolynomial( roots, pols );
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_Scalar M = cauchy_max_bound( pols );
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_Scalar m = cauchy_min_bound( pols );
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_Scalar Max = roots.array().abs().maxCoeff();
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_Scalar min = roots.array().abs().minCoeff();
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bool eval = (M >= Max) && (m <= min);
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if( !eval )
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{
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cerr << "Roots: " << roots << endl;
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cerr << "Bounds: (" << m << ", " << M << ")" << endl;
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cerr << "Min,Max: (" << min << ", " << Max << ")" << endl;
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}
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VERIFY( eval );
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}
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template<typename _Scalar> void CauchyBounds_scalar()
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{
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CALL_SUBTEST_2( (CauchyBounds<_Scalar,2>(2)) );
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CALL_SUBTEST_3( (CauchyBounds<_Scalar,3>(3)) );
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CALL_SUBTEST_4( (CauchyBounds<_Scalar,4>(4)) );
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CALL_SUBTEST_5( (CauchyBounds<_Scalar,5>(5)) );
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CALL_SUBTEST_6( (CauchyBounds<_Scalar,6>(6)) );
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CALL_SUBTEST_7( (CauchyBounds<_Scalar,7>(7)) );
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CALL_SUBTEST_8( (CauchyBounds<_Scalar,17>(17)) );
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CALL_SUBTEST_9( (CauchyBounds<_Scalar,Dynamic>(
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internal::random<int>(18,26) )) );
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}
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void test_polynomialutils()
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{
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for(int i = 0; i < g_repeat; i++)
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{
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realRoots_to_monicPolynomial_scalar<double>();
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realRoots_to_monicPolynomial_scalar<float>();
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CauchyBounds_scalar<double>();
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CauchyBounds_scalar<float>();
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}
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}
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