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 |
|
|
43 |
|
/** |
58 |
|
#include "config.h" |
59 |
|
#include "math/Eigenvalue.hpp" |
60 |
|
|
61 |
< |
namespace oopse { |
61 |
> |
namespace OpenMD { |
62 |
|
|
63 |
|
template<typename Real> Real fastpow(Real x, int N) { |
64 |
|
Real result(1); //or 1.0? |
274 |
|
* @return the first derivative of this polynomial |
275 |
|
*/ |
276 |
|
PolynomialType & getDerivative() { |
277 |
< |
Polynomial<Real> p(); |
277 |
> |
Polynomial<Real> p; |
278 |
|
|
279 |
|
typename Polynomial<Real>::const_iterator i; |
280 |
|
ExponentType exponent; |
338 |
|
roots.push_back( -fC0 / fC1); |
339 |
|
return roots; |
340 |
|
} |
340 |
– |
break; |
341 |
|
case 2: { |
342 |
|
Real fC2 = getCoefficient(2); |
343 |
|
Real fC1 = getCoefficient(1); |
361 |
|
roots.push_back(-fTmp * fC1); // 1 real root |
362 |
|
} |
363 |
|
} |
364 |
< |
return roots; |
365 |
< |
break; |
366 |
< |
|
364 |
> |
return roots; |
365 |
|
case 3: { |
366 |
|
Real fC3 = getCoefficient(3); |
367 |
|
Real fC2 = getCoefficient(2); |
428 |
|
} |
429 |
|
} |
430 |
|
return roots; |
431 |
< |
break; |
431 |
> |
|
432 |
|
case 4: { |
433 |
|
Real fC4 = getCoefficient(4); |
434 |
|
Real fC3 = getCoefficient(3); |
514 |
|
} |
515 |
|
} |
516 |
|
return roots; |
517 |
< |
break; |
517 |
> |
|
518 |
|
default: { |
519 |
|
DynamicRectMatrix<Real> companion = CreateCompanion(); |
520 |
|
JAMA::Eigenvalue<Real> eig(companion); |
528 |
|
} |
529 |
|
} |
530 |
|
return roots; |
531 |
< |
break; |
532 |
< |
} |
535 |
< |
|
536 |
< |
return roots; // should be empty if you got here |
531 |
> |
|
532 |
> |
} |
533 |
|
} |
534 |
< |
|
534 |
> |
|
535 |
|
private: |
536 |
|
|
537 |
|
PolynomialPairMap polyPairMap_; |
626 |
|
*/ |
627 |
|
template<typename Real> |
628 |
|
Polynomial<Real> getDerivative(const Polynomial<Real>& p1) { |
629 |
< |
Polynomial<Real> p(); |
629 |
> |
Polynomial<Real> p; |
630 |
|
|
631 |
|
typename Polynomial<Real>::const_iterator i; |
632 |
|
int exponent; |
671 |
|
|
672 |
|
typedef Polynomial<RealType> DoublePolynomial; |
673 |
|
|
674 |
< |
} //end namespace oopse |
674 |
> |
} //end namespace OpenMD |
675 |
|
#endif //MATH_POLYNOMIAL_HPP |