| 6 | 
  | 
 * redistribute this software in source and binary code form, provided | 
| 7 | 
  | 
 * that the following conditions are met: | 
| 8 | 
  | 
 * | 
| 9 | 
< | 
 * 1. Acknowledgement of the program authors must be made in any | 
| 10 | 
< | 
 *    publication of scientific results based in part on use of the | 
| 11 | 
< | 
 *    program.  An acceptable form of acknowledgement is citation of | 
| 12 | 
< | 
 *    the article in which the program was described (Matthew | 
| 13 | 
< | 
 *    A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher | 
| 14 | 
< | 
 *    J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented | 
| 15 | 
< | 
 *    Parallel Simulation Engine for Molecular Dynamics," | 
| 16 | 
< | 
 *    J. Comput. Chem. 26, pp. 252-271 (2005)) | 
| 17 | 
< | 
 * | 
| 18 | 
< | 
 * 2. Redistributions of source code must retain the above copyright | 
| 9 | 
> | 
 * 1. Redistributions of source code must retain the above copyright | 
| 10 | 
  | 
 *    notice, this list of conditions and the following disclaimer. | 
| 11 | 
  | 
 * | 
| 12 | 
< | 
 * 3. Redistributions in binary form must reproduce the above copyright | 
| 12 | 
> | 
 * 2. Redistributions in binary form must reproduce the above copyright | 
| 13 | 
  | 
 *    notice, this list of conditions and the following disclaimer in the | 
| 14 | 
  | 
 *    documentation and/or other materials provided with the | 
| 15 | 
  | 
 *    distribution. | 
| 28 | 
  | 
 * arising out of the use of or inability to use software, even if the | 
| 29 | 
  | 
 * University of Notre Dame has been advised of the possibility of | 
| 30 | 
  | 
 * such damages. | 
| 31 | 
+ | 
 * | 
| 32 | 
+ | 
 * SUPPORT OPEN SCIENCE!  If you use OpenMD or its source code in your | 
| 33 | 
+ | 
 * research, please cite the appropriate papers when you publish your | 
| 34 | 
+ | 
 * work.  Good starting points are: | 
| 35 | 
+ | 
 *                                                                       | 
| 36 | 
+ | 
 * [1]  Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).              | 
| 37 | 
+ | 
 * [2]  Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).           | 
| 38 | 
+ | 
 * [3]  Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008).           | 
| 39 | 
+ | 
 * [4]  Kuang & Gezelter,  J. Chem. Phys. 133, 164101 (2010). | 
| 40 | 
+ | 
 * [5]  Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011). | 
| 41 | 
  | 
 */ | 
| 42 | 
  | 
#ifndef MATH_CHOLESKYDECOMPOSITION_HPP | 
| 43 | 
  | 
#define MATH_CHOLESKYDECOMPOSITION_HPP | 
| 44 | 
  | 
 | 
| 45 | 
< | 
namespace oopse { | 
| 45 | 
> | 
namespace OpenMD { | 
| 46 | 
  | 
template<class MatrixType> | 
| 47 | 
  | 
int CholeskyDecomposition(MatrixType& A, MatrixType& L) { | 
| 48 | 
  | 
    int n = A.getNRow(); | 
| 49 | 
  | 
    assert(n == A.getNCol() && n == L.getNRow()&& n==L.getNCol()); | 
| 50 | 
  | 
    for(int i = 0; i < n; ++i) { | 
| 51 | 
< | 
        double sum1 = 0; | 
| 51 | 
> | 
        RealType sum1 = 0; | 
| 52 | 
  | 
        for (int k = 0; k < i -1; ++k) { | 
| 53 | 
  | 
            sum1 +=L(i,k)*L(i,k); | 
| 54 | 
  | 
        } | 
| 55 | 
  | 
        L(i, i) = sqrt(A(i, i) - sum1); | 
| 56 | 
  | 
        for (int j = i+1; j < n; ++j) { | 
| 57 | 
< | 
            double sum2 = 0; | 
| 57 | 
> | 
            RealType sum2 = 0; | 
| 58 | 
  | 
            for (int k = 0; k < i-1; ++k) { | 
| 59 | 
  | 
                sum2 += L(j ,k)*L(i, k); | 
| 60 | 
  | 
            } | 
| 61 | 
< | 
            A(j, i) = (A(j, i) - sum2) /L(i,i); | 
| 61 | 
> | 
            L(j, i) = (A(j, i) - sum2) /L(i,i); | 
| 62 | 
  | 
        } | 
| 63 | 
  | 
    } | 
| 64 | 
  | 
 |