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/* |
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* Copyright (c) 2005 The University of Notre Dame. All Rights Reserved. |
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* |
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* The University of Notre Dame grants you ("Licensee") a |
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* non-exclusive, royalty free, license to use, modify and |
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* redistribute this software in source and binary code form, provided |
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* that the following conditions are met: |
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* |
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* 1. Acknowledgement of the program authors must be made in any |
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* publication of scientific results based in part on use of the |
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* program. An acceptable form of acknowledgement is citation of |
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* the article in which the program was described (Matthew |
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* A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher |
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* J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented |
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* Parallel Simulation Engine for Molecular Dynamics," |
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* J. Comput. Chem. 26, pp. 252-271 (2005)) |
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* |
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* 2. Redistributions of source code must retain the above copyright |
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* notice, this list of conditions and the following disclaimer. |
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* |
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* 3. Redistributions in binary form must reproduce the above copyright |
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* notice, this list of conditions and the following disclaimer in the |
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* documentation and/or other materials provided with the |
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* distribution. |
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* |
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* This software is provided "AS IS," without a warranty of any |
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* kind. All express or implied conditions, representations and |
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* warranties, including any implied warranty of merchantability, |
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* fitness for a particular purpose or non-infringement, are hereby |
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* excluded. The University of Notre Dame and its licensors shall not |
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* be liable for any damages suffered by licensee as a result of |
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* using, modifying or distributing the software or its |
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* derivatives. In no event will the University of Notre Dame or its |
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* licensors be liable for any lost revenue, profit or data, or for |
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* direct, indirect, special, consequential, incidental or punitive |
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* damages, however caused and regardless of the theory of liability, |
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* arising out of the use of or inability to use software, even if the |
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* University of Notre Dame has been advised of the possibility of |
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* such damages. |
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*/ |
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#include "math/LegendrePolynomial.hpp" |
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namespace oopse { |
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LegendrePolynomial::LegendrePolynomial(int maxPower) : maxPower_(maxPower){ |
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assert(maxPower >= 0); |
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GeneratePolynomials(maxPower_); |
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} |
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void LegendrePolynomial::GeneratePolynomials(int maxPower) { |
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GenerateFirstTwoTerms(); |
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DoublePolynomial x; |
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x.setCoefficient(1, 1.0); |
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//recursive generate the high order term of Legendre Polynomials |
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//P_{l+1}= \frac{(2l+1)(x)P_l-l P_{l-1}{l+1} |
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for (int i = 2; i <= maxPower; ++i) { |
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DoublePolynomial pn; |
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pn = polyList_[i-1] * x * static_cast<double>((2*i+1)/(i+1)) - polyList_[i-2] * static_cast<double>(i/(i+1)); |
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polyList_.push_back(pn); |
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} |
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} |
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void LegendrePolynomial::GenerateFirstTwoTerms() { |
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DoublePolynomial p0; |
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p0.setCoefficient(0, 1.0); |
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polyList_.push_back(p0); |
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DoublePolynomial p1; |
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p1.setCoefficient(1, 1.0); |
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polyList_.push_back(p1); |
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} |
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} |
