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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. 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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* 2. 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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* SUPPORT OPEN SCIENCE! If you use OpenMD or its source code in your |
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* research, please cite the appropriate papers when you publish your |
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* work. Good starting points are: |
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* |
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* [1] Meineke, et al., J. Comp. Chem. 26, 252-271 (2005). |
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* [2] Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006). |
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* [3] Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008). |
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* [4] Vardeman & Gezelter, in progress (2009). |
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*/ |
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|
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#include "math/ChebyshevU.hpp" |
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|
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namespace OpenMD { |
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ChebyshevU::ChebyshevU(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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void ChebyshevU::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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void 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 OpenMD |
