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/* |
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* Copyright (C) 2000-2004 Object Oriented Parallel Simulation Engine (OOPSE) project |
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* |
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* Contact: oopse@oopse.org |
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* |
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* This program is free software; you can redistribute it and/or |
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* modify it under the terms of the GNU Lesser General Public License |
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* as published by the Free Software Foundation; either version 2.1 |
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* of the License, or (at your option) any later version. |
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* All we ask is that proper credit is given for our work, which includes |
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* - but is not limited to - adding the above copyright notice to the beginning |
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* of your source code files, and to any copyright notice that you may distribute |
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* with programs based on this work. |
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* |
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* This program is distributed in the hope that it will be useful, |
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* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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* GNU Lesser 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 License |
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* along with this program; if not, write to the Free Software |
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* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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* |
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*/ |
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|
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#include "math/ChebyshevPolynomials.hpp" |
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|
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namespace oopse { |
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ChebyshevPolynomials::ChebyshevPolynomials(int maxPower) : maxPower_(maxPower){ |
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|
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assert(maxPower >= 0); |
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GeneratePolynomials(maxPower_); |
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} |
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|
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ChebyshevPolynomials::GeneratePolynomials(int maxPower) { |
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|
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GenerateFirstTwoTerms(); |
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|
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DoublePolynomial twoX; |
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twoX.setCoefficient(1, 2.0); |
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|
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//recursive generate the high order term of Chebyshev Polynomials |
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//Cn+1(x) = Cn(x) * 2x - Cn-1(x) |
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for (int i = 2; i <= maxPower; ++i) { |
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DoublePolynomial cn; |
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|
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cn = polyList_[i-1] * twoX - polyList_[i-2]; |
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polyList_.push_back(cn); |
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} |
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} |
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|
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|
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ChebyshevT::GenerateFirstTwoTerms() { |
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DoublePolynomial t0; |
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t0.setCoefficient(0, 1.0); |
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polyList_.push_back(t0); |
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|
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DoublePolynomial t1; |
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t1.setCoefficient(1, 1.0); |
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polyList_.push_back(t1); |
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} |
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|
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ChebyshevU::GenerateFirstTwoTerms() { |
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DoublePolynomial u0; |
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u0.setCoefficient(0, 1.0); |
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polyList_.push_back(u0); |
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|
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DoublePolynomial u1; |
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u1.setCoefficient(1, 2.0); |
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polyList_.push_back(u1); |
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} |
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|
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} //end namespace oopse |
