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1 < \chapter{\label{chapt:appendix}APPENDIX}
1 > \appendix
2 > \chapter{\label{chapt:oopse}Object-Oriented Parallel Simulation Engine}
3  
4   Designing object-oriented software is hard, and designing reusable
5   object-oriented scientific software is even harder. Absence of
6   applying modern software development practices is the bottleneck of
7 < Scientific Computing community\cite{wilson}. For instance, in the
8 < last 20 years , there are quite a few MD packages that were
7 > Scientific Computing community\cite{Wilson2006}. For instance, in
8 > the last 20 years , there are quite a few MD packages that were
9   developed to solve common MD problems and perform robust simulations
10   . However, many of the codes are legacy programs that are either
11   poorly organized or extremely complex. Usually, these packages were
# Line 13 | Line 14 | documents which is crucial to the maintenance and exte
14   coordination to enforce design and programming guidelines. Moreover,
15   most MD programs also suffer from missing design and implement
16   documents which is crucial to the maintenance and extensibility.
17 + Along the way of studying structural and dynamic processes in
18 + condensed phase systems like biological membranes and nanoparticles,
19 + we developed and maintained an Object-Oriented Parallel Simulation
20 + Engine ({\sc OOPSE}). This new molecular dynamics package has some
21 + unique features
22 + \begin{enumerate}
23 +  \item {\sc OOPSE} performs Molecular Dynamics (MD) simulations on non-standard
24 + atom types (transition metals, point dipoles, sticky potentials,
25 + Gay-Berne ellipsoids, or other "lumpy"atoms with orientational
26 + degrees of freedom), as well as rigid bodies.
27 +  \item {\sc OOPSE} uses a force-based decomposition algorithm using MPI on cheap
28 + Beowulf clusters to obtain very efficient parallelism.
29 +  \item {\sc OOPSE} integrates the equations of motion using advanced methods for
30 + orientational dynamics in NVE, NVT, NPT, NPAT, and NP$\gamma$T
31 + ensembles.
32 +  \item {\sc OOPSE} can carry out simulations on metallic systems using the
33 + Embedded Atom Method (EAM) as well as the Sutton-Chen potential.
34 +  \item {\sc OOPSE} can perform simulations on Gay-Berne liquid crystals.
35 +  \item  {\sc OOPSE} can simulate systems containing the extremely efficient
36 + extended-Soft Sticky Dipole (SSD/E) model for water.
37 + \end{enumerate}
38  
39 + \section{\label{appendixSection:architecture }Architecture}
40 +
41 + Mainly written by \texttt{C/C++} and \texttt{Fortran90}, {\sc OOPSE}
42 + uses C++ Standard Template Library (STL) and fortran modules as the
43 + foundation. As an extensive set of the STL and Fortran90 modules,
44 + {\sc Base Classes} provide generic implementations of mathematical
45 + objects (e.g., matrices, vectors, polynomials, random number
46 + generators) and advanced data structures and algorithms(e.g., tuple,
47 + bitset, generic data, string manipulation). The molecular data
48 + structures for the representation of atoms, bonds, bends, torsions,
49 + rigid bodies and molecules \textit{etc} are contained in the {\sc
50 + Kernel} which is implemented with {\sc Base Classes} and are
51 + carefully designed to provide maximum extensibility and flexibility.
52 + The functionality required for applications is provide by the third
53 + layer which contains Input/Output, Molecular Mechanics and Structure
54 + modules. Input/Output module not only implements general methods for
55 + file handling, but also defines a generic force field interface.
56 + Another important component of Input/Output module is the meta-data
57 + file parser, which is rewritten using ANother Tool for Language
58 + Recognition(ANTLR)\cite{Parr1995, Schaps1999} syntax. The Molecular
59 + Mechanics module consists of energy minimization and a wide
60 + varieties of integration methods(see Chap.~\ref{chapt:methodology}).
61 + The structure module contains a flexible and powerful selection
62 + library which syntax is elaborated in
63 + Sec.~\ref{appendixSection:syntax}. The top layer is made of the main
64 + program of the package, \texttt{oopse} and it corresponding parallel
65 + version \texttt{oopse\_MPI}, as well as other useful utilities, such
66 + as \texttt{StatProps} (see Sec.~\ref{appendixSection:StaticProps}),
67 + \texttt{DynamicProps} (see
68 + Sec.~\ref{appendixSection:appendixSection:DynamicProps}),
69 + \texttt{Dump2XYZ} (see
70 + Sec.~\ref{appendixSection:appendixSection:Dump2XYZ}), \texttt{Hydro}
71 + (see Sec.~\ref{appendixSection:appendixSection:hydrodynamics})
72 + \textit{etc}.
73 +
74 + \begin{figure}
75 + \centering
76 + \includegraphics[width=\linewidth]{architecture.eps}
77 + \caption[The architecture of {\sc OOPSE}] {Overview of the structure
78 + of {\sc OOPSE}} \label{appendixFig:architecture}
79 + \end{figure}
80 +
81   \section{\label{appendixSection:desginPattern}Design Pattern}
82  
83   Design patterns are optimal solutions to commonly-occurring problems
84   in software design. Although originated as an architectural concept
85 < for buildings and towns by Christopher Alexander \cite{alexander},
86 < software patterns first became popular with the wide acceptance of
87 < the book, Design Patterns: Elements of Reusable Object-Oriented
88 < Software \cite{gamma94}. Patterns reflect the experience, knowledge
89 < and insights of developers who have successfully used these patterns
90 < in their own work. Patterns are reusable. They provide a ready-made
91 < solution that can be adapted to different problems as necessary.
92 < Pattern are expressive. they provide a common vocabulary of
93 < solutions that can express large solutions succinctly.
85 > for buildings and towns by Christopher Alexander
86 > \cite{Alexander1987}, software patterns first became popular with
87 > the wide acceptance of the book, Design Patterns: Elements of
88 > Reusable Object-Oriented Software \cite{Gamma1994}. Patterns reflect
89 > the experience, knowledge and insights of developers who have
90 > successfully used these patterns in their own work. Patterns are
91 > reusable. They provide a ready-made solution that can be adapted to
92 > different problems as necessary. Pattern are expressive. they
93 > provide a common vocabulary of solutions that can express large
94 > solutions succinctly.
95  
96   Patterns are usually described using a format that includes the
97   following information:
# Line 47 | Line 112 | the modern scientific software applications, such as J
112  
113   As one of the latest advanced techniques emerged from
114   object-oriented community, design patterns were applied in some of
115 < the modern scientific software applications, such as JMol, OOPSE
116 < \cite{Meineke05} and PROTOMOL \cite{Matthey05} \textit{etc}.
115 > the modern scientific software applications, such as JMol, {\sc
116 > OOPSE}\cite{Meineke05} and PROTOMOL\cite{Matthey05} \textit{etc}.
117 > The following sections enumerates some of the patterns used in {\sc
118 > OOPSE}.
119  
120   \subsection{\label{appendixSection:singleton}Singleton}
54 The Singleton pattern ensures that only one instance of a class is
55 created. All objects that use an instance of that class use the same
56 instance.
121  
122 + The Singleton pattern not only provides a mechanism to restrict
123 + instantiation of a class to one object, but also provides a global
124 + point of access to the object. Currently implemented as a global
125 + variable, the logging utility which reports error and warning
126 + messages to the console in {\sc OOPSE} is a good candidate for
127 + applying the Singleton pattern to avoid the global namespace
128 + pollution.Although the singleton pattern can be implemented in
129 + various ways  to account for different aspects of the software
130 + designs, such as lifespan control \textit{etc}, we only use the
131 + static data approach in {\sc OOPSE}. IntegratorFactory class is
132 + declared as
133 +
134 + \begin{lstlisting}[float,caption={[A classic Singleton design pattern implementation(I)] The declaration of of simple Singleton pattern.},label={appendixScheme:singletonDeclaration}]
135 +
136 + class IntegratorFactory {
137 + public:
138 +  static IntegratorFactory*
139 +  getInstance();
140 + protected:
141 +  IntegratorFactory();
142 + private:
143 +  static IntegratorFactory* instance_;
144 + };
145 +
146 + \end{lstlisting}
147 +
148 + The corresponding implementation is
149 +
150 + \begin{lstlisting}[float,caption={[A classic implementation of Singleton design pattern (II)] The implementation of simple Singleton pattern.},label={appendixScheme:singletonImplementation}]
151 +
152 + IntegratorFactory::instance_ = NULL;
153 +
154 + IntegratorFactory* getInstance() {
155 +  if (instance_ == NULL){
156 +    instance_ = new IntegratorFactory;
157 +  }
158 +  return instance_;
159 + }
160 +
161 + \end{lstlisting}
162 +
163 + Since constructor is declared as protected, a client can not
164 + instantiate IntegratorFactory directly. Moreover, since the member
165 + function getInstance serves as the only entry of access to
166 + IntegratorFactory, this approach fulfills the basic requirement, a
167 + single instance. Another consequence of this approach is the
168 + automatic destruction since static data are destroyed upon program
169 + termination.
170 +
171   \subsection{\label{appendixSection:factoryMethod}Factory Method}
59 The Factory Method pattern is a creational pattern which deals with
60 the problem of creating objects without specifying the exact class
61 of object that will be created. Factory Method solves this problem
62 by defining a separate method for creating the objects, which
63 subclasses can then override to specify the derived type of product
64 that will be created.
172  
173 + Categoried as a creational pattern, the Factory Method pattern deals
174 + with the problem of creating objects without specifying the exact
175 + class of object that will be created. Factory Method is typically
176 + implemented by delegating the creation operation to the subclasses.
177 + Parameterized Factory pattern where factory method (
178 + createIntegrator member function) creates products based on the
179 + identifier (see List.~\ref{appendixScheme:factoryDeclaration}). If
180 + the identifier has been already registered, the factory method will
181 + invoke the corresponding creator (see List.~\ref{integratorCreator})
182 + which utilizes the modern C++ template technique to avoid excess
183 + subclassing.
184  
185 + \begin{lstlisting}[float,caption={[The implementation of Parameterized Factory pattern (I)]Source code of IntegratorFactory class.},label={appendixScheme:factoryDeclaration}]
186 +
187 + class IntegratorFactory {
188 + public:
189 +  typedef std::map<string, IntegratorCreator*> CreatorMapType;
190 +
191 +  bool registerIntegrator(IntegratorCreator* creator) {
192 +    return creatorMap_.insert(creator->getIdent(), creator).second;
193 +  }
194 +
195 +  Integrator* createIntegrator(const string& id, SimInfo* info) {
196 +    Integrator* result = NULL;
197 +    CreatorMapType::iterator i = creatorMap_.find(id);
198 +    if (i != creatorMap_.end()) {
199 +      result = (i->second)->create(info);
200 +    }
201 +    return result;
202 +  }
203 +
204 + private:
205 +  CreatorMapType creatorMap_;
206 + };
207 + \end{lstlisting}
208 +
209 + \begin{lstlisting}[float,caption={[The implementation of Parameterized Factory pattern (III)]Source code of creator classes.},label={appendixScheme:integratorCreator}]
210 +
211 + class IntegratorCreator {
212 + public:
213 +    IntegratorCreator(const string& ident) : ident_(ident) {}
214 +
215 +    const string& getIdent() const { return ident_; }
216 +
217 +    virtual Integrator* create(SimInfo* info) const = 0;
218 +
219 + private:
220 +    string ident_;
221 + };
222 +
223 + template<class ConcreteIntegrator>
224 + class IntegratorBuilder : public IntegratorCreator {
225 + public:
226 +  IntegratorBuilder(const string& ident)
227 +                   : IntegratorCreator(ident) {}
228 +  virtual  Integrator* create(SimInfo* info) const {
229 +    return new ConcreteIntegrator(info);
230 +  }
231 + };
232 + \end{lstlisting}
233 +
234   \subsection{\label{appendixSection:visitorPattern}Visitor}
68 The purpose of the Visitor Pattern is to encapsulate an operation
69 that you want to perform on the elements of a data structure. In
70 this way, you can change the operation being performed on a
71 structure without the need of changing the classes of the elements
72 that you are operating on.
235  
236 + The visitor pattern is designed to decouple the data structure and
237 + algorithms used upon them by collecting related operation from
238 + element classes into other visitor classes, which is equivalent to
239 + adding virtual functions into a set of classes without modifying
240 + their interfaces. Fig.~\ref{appendixFig:visitorUML} demonstrates the
241 + structure of Visitor pattern which is used extensively in {\tt
242 + Dump2XYZ}. In order to convert an OOPSE dump file, a series of
243 + distinct operations are performed on different StuntDoubles (See the
244 + class hierarchy in Fig.~\ref{oopseFig:hierarchy} and the declaration
245 + in List.~\ref{appendixScheme:element}). Since the hierarchies
246 + remains stable, it is easy to define a visit operation (see
247 + List.~\ref{appendixScheme:visitor}) for each class of StuntDouble.
248 + Note that using Composite pattern\cite{Gamma1994}, CompositVisitor
249 + manages a priority visitor list and handles the execution of every
250 + visitor in the priority list on different StuntDoubles.
251  
252 < \subsection{\label{appendixSection:templateMethod}Template Method}
252 > \begin{figure}
253 > \centering
254 > \includegraphics[width=\linewidth]{visitor.eps}
255 > \caption[The UML class diagram of Visitor patten] {The UML class
256 > diagram of Visitor patten.} \label{appendixFig:visitorUML}
257 > \end{figure}
258  
259 < \section{\label{appendixSection:analysisFramework}Analysis Framework}
259 > %\begin{figure}
260 > %\centering
261 > %\includegraphics[width=\linewidth]{hierarchy.eps}
262 > %\caption[Class hierarchy for ojects in {\sc OOPSE}]{ A diagram of
263 > %the class hierarchy.
264 > %\begin{itemize}
265 > %\item A {\bf StuntDouble} is {\it any} object that can be manipulated by the
266 > %integrators and minimizers.
267 > %\item An {\bf Atom} is a fundamental point-particle that can be moved around during a simulation.
268 > %\item A {\bf DirectionalAtom} is an atom which has {\it orientational} as well as translational degrees of freedom.
269 > %\item A {\bf RigidBody} is a collection of {\bf Atom}s or {\bf
270 > %DirectionalAtom}s which behaves as a single unit.
271 > %\end{itemize}
272 > %} \label{oopseFig:hierarchy}
273 > %\end{figure}
274  
275 < \section{\label{appendixSection:hierarchy}Hierarchy}
275 > \begin{lstlisting}[float,caption={[The implementation of Visitor pattern (II)]Source code of the element classes.},label={appendixScheme:element}]
276  
277 < \subsection{\label{appendixSection:selectionSyntax}Selection Syntax}
277 > class StuntDouble { public:
278 >  virtual void accept(BaseVisitor* v) = 0;
279 > };
280  
281 < \subsection{\label{appendixSection:hydrodynamics}Hydrodynamics}
281 > class Atom: public StuntDouble { public:
282 >  virtual void accept{BaseVisitor* v*} {
283 >    v->visit(this);
284 >  }
285 > };
286  
287 < \subsection{\label{appendixSection:staticProps}Static Properties}
287 > class DirectionalAtom: public Atom { public:
288 >  virtual void accept{BaseVisitor* v*} {
289 >    v->visit(this);
290 >  }
291 > };
292  
293 < \subsection{\label{appendixSection:dynamicProps}Dynamics Properties}
293 > class RigidBody: public StuntDouble { public:
294 >  virtual void accept{BaseVisitor* v*} {
295 >    v->visit(this);
296 >  }
297 > };
298 >
299 > \end{lstlisting}
300 >
301 > \begin{lstlisting}[float,caption={[The implementation of Visitor pattern (I)]Source code of the visitor classes.},label={appendixScheme:visitor}]
302 >
303 > class BaseVisitor{
304 > public:
305 >  virtual void visit(Atom* atom);
306 >  virtual void visit(DirectionalAtom* datom);
307 >  virtual void visit(RigidBody* rb);
308 > };
309 >
310 > class BaseAtomVisitor:public BaseVisitor{ public:
311 >  virtual void visit(Atom* atom);
312 >  virtual void visit(DirectionalAtom* datom);
313 >  virtual void visit(RigidBody* rb);
314 > };
315 >
316 > class SSDAtomVisitor:public BaseAtomVisitor{ public:
317 >  virtual void visit(Atom* atom);
318 >  virtual void visit(DirectionalAtom* datom);
319 >  virtual void visit(RigidBody* rb);
320 > };
321 >
322 > class CompositeVisitor: public BaseVisitor {
323 > public:
324 >
325 >  typedef list<pair<BaseVisitor*, int> > VistorListType;
326 >  typedef VistorListType::iterator VisitorListIterator;
327 >  virtual void visit(Atom* atom) {
328 >    VisitorListIterator i;
329 >    BaseVisitor* curVisitor;
330 >    for(i = visitorList.begin();i != visitorList.end();++i) {
331 >      atom->accept(*i);
332 >    }
333 >  }
334 >
335 >  virtual void visit(DirectionalAtom* datom) {
336 >    VisitorListIterator i;
337 >    BaseVisitor* curVisitor;
338 >    for(i = visitorList.begin();i != visitorList.end();++i) {
339 >      atom->accept(*i);
340 >    }
341 >  }
342 >
343 >  virtual void visit(RigidBody* rb) {
344 >    VisitorListIterator i;
345 >    std::vector<Atom*> myAtoms;
346 >    std::vector<Atom*>::iterator ai;
347 >    myAtoms = rb->getAtoms();
348 >    for(i = visitorList.begin();i != visitorList.end();++i) {{
349 >      rb->accept(*i);
350 >      for(ai = myAtoms.begin(); ai != myAtoms.end(); ++ai){
351 >        (*ai)->accept(*i);
352 >    }
353 >  }
354 >
355 >  void addVisitor(BaseVisitor* v, int priority);
356 >
357 >  protected:
358 >    VistorListType visitorList;
359 > };
360 >
361 > \end{lstlisting}
362 >
363 > \section{\label{appendixSection:concepts}Concepts}
364 >
365 > OOPSE manipulates both traditional atoms as well as some objects
366 > that {\it behave like atoms}.  These objects can be rigid
367 > collections of atoms or atoms which have orientational degrees of
368 > freedom.  A diagram of the class hierarchy is illustrated in
369 > Fig.~\ref{oopseFig:hierarchy}. Every Molecule, Atom and
370 > DirectionalAtom in {\sc OOPSE} have their own names which are
371 > specified in the {\tt .md} file. In contrast, RigidBodies are
372 > denoted by their membership and index inside a particular molecule:
373 > [MoleculeName]\_RB\_[index] (the contents inside the brackets depend
374 > on the specifics of the simulation). The names of rigid bodies are
375 > generated automatically. For example, the name of the first rigid
376 > body in a DMPC molecule is DMPC\_RB\_0.
377 >
378 > \section{\label{appendixSection:syntax}Syntax of the Select Command}
379 >
380 > {\sc OOPSE} provides a powerful selection utility to select
381 > StuntDoubles. The most general form of the select command is:
382 >
383 > {\tt select {\it expression}}.
384 >
385 > This expression represents an arbitrary set of StuntDoubles (Atoms
386 > or RigidBodies) in {\sc OOPSE}. Expressions are composed of either
387 > name expressions, index expressions, predefined sets, user-defined
388 > expressions, comparison operators, within expressions, or logical
389 > combinations of the above expression types. Expressions can be
390 > combined using parentheses and the Boolean operators.
391 >
392 > \subsection{\label{appendixSection:logical}Logical expressions}
393 >
394 > The logical operators allow complex queries to be constructed out of
395 > simpler ones using the standard boolean connectives {\bf and}, {\bf
396 > or}, {\bf not}. Parentheses can be used to alter the precedence of
397 > the operators.
398 >
399 > \begin{center}
400 > \begin{tabular}{|ll|}
401 > \hline
402 > {\bf logical operator} & {\bf equivalent operator}  \\
403 > \hline
404 > and & ``\&'', ``\&\&'' \\
405 > or & ``$|$'', ``$||$'', ``,'' \\
406 > not & ``!''  \\
407 > \hline
408 > \end{tabular}
409 > \end{center}
410 >
411 > \subsection{\label{appendixSection:name}Name expressions}
412 >
413 > \begin{center}
414 > \begin{tabular}{|llp{2in}|}
415 > \hline {\bf type of expression} & {\bf examples} & {\bf translation
416 > of
417 > examples} \\
418 > \hline expression without ``.'' & select DMPC & select all
419 > StuntDoubles
420 > belonging to all DMPC molecules \\
421 > & select C* & select all atoms which have atom types beginning with C
422 > \\
423 > & select DMPC\_RB\_* & select all RigidBodies in DMPC molecules (but
424 > only select the rigid bodies, and not the atoms belonging to them). \\
425 > \hline expression has one ``.'' & select TIP3P.O\_TIP3P & select the
426 > O\_TIP3P
427 > atoms belonging to TIP3P molecules \\
428 > & select DMPC\_RB\_O.PO4 & select the PO4 atoms belonging to
429 > the first
430 > RigidBody in each DMPC molecule \\
431 > & select DMPC.20 & select the twentieth StuntDouble in each DMPC
432 > molecule \\
433 > \hline expression has two ``.''s & select DMPC.DMPC\_RB\_?.* &
434 > select all atoms
435 > belonging to all rigid bodies within all DMPC molecules \\
436 > \hline
437 > \end{tabular}
438 > \end{center}
439 >
440 > \subsection{\label{appendixSection:index}Index expressions}
441 >
442 > \begin{center}
443 > \begin{tabular}{|lp{4in}|}
444 > \hline
445 > {\bf examples} & {\bf translation of examples} \\
446 > \hline
447 > select 20 & select all of the StuntDoubles belonging to Molecule 20 \\
448 > select 20 to 30 & select all of the StuntDoubles belonging to
449 > molecules which have global indices between 20 (inclusive) and 30
450 > (exclusive) \\
451 > \hline
452 > \end{tabular}
453 > \end{center}
454 >
455 > \subsection{\label{appendixSection:predefined}Predefined sets}
456 >
457 > \begin{center}
458 > \begin{tabular}{|ll|}
459 > \hline
460 > {\bf keyword} & {\bf description} \\
461 > \hline
462 > all & select all StuntDoubles \\
463 > none & select none of the StuntDoubles \\
464 > \hline
465 > \end{tabular}
466 > \end{center}
467 >
468 > \subsection{\label{appendixSection:userdefined}User-defined expressions}
469 >
470 > Users can define arbitrary terms to represent groups of
471 > StuntDoubles, and then use the define terms in select commands. The
472 > general form for the define command is: {\bf define {\it term
473 > expression}}. Once defined, the user can specify such terms in
474 > boolean expressions
475 >
476 > {\tt define SSDWATER SSD or SSD1 or SSDRF}
477 >
478 > {\tt select SSDWATER}
479 >
480 > \subsection{\label{appendixSection:comparison}Comparison expressions}
481 >
482 > StuntDoubles can be selected by using comparision operators on their
483 > properties. The general form for the comparison command is: a
484 > property name, followed by a comparision operator and then a number.
485 >
486 > \begin{center}
487 > \begin{tabular}{|l|l|}
488 > \hline
489 > {\bf property} & mass, charge \\
490 > {\bf comparison operator} & ``$>$'', ``$<$'', ``$=$'', ``$>=$'',
491 > ``$<=$'', ``$!=$'' \\
492 > \hline
493 > \end{tabular}
494 > \end{center}
495 >
496 > For example, the phrase {\tt select mass > 16.0 and charge < -2}
497 > would select StuntDoubles which have mass greater than 16.0 and
498 > charges less than -2.
499 >
500 > \subsection{\label{appendixSection:within}Within expressions}
501 >
502 > The ``within'' keyword allows the user to select all StuntDoubles
503 > within the specified distance (in Angstroms) from a selection,
504 > including the selected atom itself. The general form for within
505 > selection is: {\tt select within(distance, expression)}
506 >
507 > For example, the phrase {\tt select within(2.5, PO4 or NC4)} would
508 > select all StuntDoubles which are within 2.5 angstroms of PO4 or NC4
509 > atoms.
510 >
511 >
512 > \section{\label{appendixSection:analysisFramework}Analysis Framework}
513 >
514 > \subsection{\label{appendixSection:StaticProps}StaticProps}
515 >
516 > {\tt StaticProps} can compute properties which are averaged over
517 > some or all of the configurations that are contained within a dump
518 > file. The most common example of a static property that can be
519 > computed is the pair distribution function between atoms of type $A$
520 > and other atoms of type $B$, $g_{AB}(r)$.  {\tt StaticProps} can
521 > also be used to compute the density distributions of other molecules
522 > in a reference frame {\it fixed to the body-fixed reference frame}
523 > of a selected atom or rigid body.
524 >
525 > There are five seperate radial distribution functions availiable in
526 > OOPSE. Since every radial distrbution function invlove the
527 > calculation between pairs of bodies, {\tt -{}-sele1} and {\tt
528 > -{}-sele2} must be specified to tell StaticProps which bodies to
529 > include in the calculation.
530 >
531 > \begin{description}
532 > \item[{\tt -{}-gofr}] Computes the pair distribution function,
533 > \begin{equation*}
534 > g_{AB}(r) = \frac{1}{\rho_B}\frac{1}{N_A} \langle \sum_{i \in A}
535 > \sum_{j \in B} \delta(r - r_{ij}) \rangle
536 > \end{equation*}
537 > \item[{\tt -{}-r\_theta}] Computes the angle-dependent pair distribution
538 > function. The angle is defined by the intermolecular vector
539 > $\vec{r}$ and $z$-axis of DirectionalAtom A,
540 > \begin{equation*}
541 > g_{AB}(r, \cos \theta) = \frac{1}{\rho_B}\frac{1}{N_A} \langle
542 > \sum_{i \in A} \sum_{j \in B} \delta(r - r_{ij}) \delta(\cos
543 > \theta_{ij} - \cos \theta)\rangle
544 > \end{equation*}
545 > \item[{\tt -{}-r\_omega}] Computes the angle-dependent pair distribution
546 > function. The angle is defined by the $z$-axes of the two
547 > DirectionalAtoms A and B.
548 > \begin{equation*}
549 > g_{AB}(r, \cos \omega) = \frac{1}{\rho_B}\frac{1}{N_A} \langle
550 > \sum_{i \in A} \sum_{j \in B} \delta(r - r_{ij}) \delta(\cos
551 > \omega_{ij} - \cos \omega)\rangle
552 > \end{equation*}
553 > \item[{\tt -{}-theta\_omega}] Computes the pair distribution in the angular
554 > space $\theta, \omega$ defined by the two angles mentioned above.
555 > \begin{equation*}
556 > g_{AB}(\cos\theta, \cos \omega) = \frac{1}{\rho_B}\frac{1}{N_A}
557 > \langle \sum_{i \in A} \sum_{j \in B} \langle \delta(\cos
558 > \theta_{ij} - \cos \theta) \delta(\cos \omega_{ij} - \cos
559 > \omega)\rangle
560 > \end{equation*}
561 > \item[{\tt -{}-gxyz}] Calculates the density distribution of particles of type
562 > B in the body frame of particle A. Therefore, {\tt -{}-originsele}
563 > and {\tt -{}-refsele} must be given to define A's internal
564 > coordinate set as the reference frame for the calculation.
565 > \end{description}
566 >
567 > The vectors (and angles) associated with these angular pair
568 > distribution functions are most easily seen in the figure below:
569 >
570 > \begin{figure}
571 > \centering
572 > \includegraphics[width=3in]{definition.eps}
573 > \caption[Definitions of the angles between directional objects]{ \\
574 > Any two directional objects (DirectionalAtoms and RigidBodies) have
575 > a set of two angles ($\theta$, and $\omega$) between the z-axes of
576 > their body-fixed frames.} \label{oopseFig:gofr}
577 > \end{figure}
578 >
579 > Due to the fact that the selected StuntDoubles from two selections
580 > may be overlapped, {\tt StaticProps} performs the calculation in
581 > three stages which are illustrated in
582 > Fig.~\ref{oopseFig:staticPropsProcess}.
583 >
584 > \begin{figure}
585 > \centering
586 > \includegraphics[width=\linewidth]{staticPropsProcess.eps}
587 > \caption[A representation of the three-stage correlations in
588 > \texttt{StaticProps}]{This diagram illustrates three-stage
589 > processing used by \texttt{StaticProps}. $S_1$ and $S_2$ are the
590 > numbers of selected stuntdobules from {\tt -{}-sele1} and {\tt
591 > -{}-sele2} respectively, while $C$ is the number of stuntdobules
592 > appearing at both sets. The first stage($S_1-C$ and $S_2$) and
593 > second stages ($S_1$ and $S_2-C$) are completely non-overlapping. On
594 > the contrary, the third stage($C$ and $C$) are completely
595 > overlapping} \label{oopseFig:staticPropsProcess}
596 > \end{figure}
597 >
598 > The options available for {\tt StaticProps} are as follows:
599 > \begin{longtable}[c]{|EFG|}
600 > \caption{StaticProps Command-line Options}
601 > \\ \hline
602 > {\bf option} & {\bf verbose option} & {\bf behavior} \\ \hline
603 > \endhead
604 > \hline
605 > \endfoot
606 >  -h& {\tt -{}-help}                    &  Print help and exit \\
607 >  -V& {\tt -{}-version}                 &  Print version and exit \\
608 >  -i& {\tt -{}-input}          &  input dump file \\
609 >  -o& {\tt -{}-output}         &  output file name \\
610 >  -n& {\tt -{}-step}                &  process every n frame  (default=`1') \\
611 >  -r& {\tt -{}-nrbins}              &  number of bins for distance  (default=`100') \\
612 >  -a& {\tt -{}-nanglebins}          &  number of bins for cos(angle)  (default= `50') \\
613 >  -l& {\tt -{}-length}           &  maximum length (Defaults to 1/2 smallest length of first frame) \\
614 >    & {\tt -{}-sele1}   & select the first StuntDouble set \\
615 >    & {\tt -{}-sele2}   & select the second StuntDouble set \\
616 >    & {\tt -{}-sele3}   & select the third StuntDouble set \\
617 >    & {\tt -{}-refsele} & select reference (can only be used with {\tt -{}-gxyz}) \\
618 >    & {\tt -{}-molname}           & molecule name \\
619 >    & {\tt -{}-begin}                & begin internal index \\
620 >    & {\tt -{}-end}                  & end internal index \\
621 > \hline
622 > \multicolumn{3}{|l|}{One option from the following group of options is required:} \\
623 > \hline
624 >    &  {\tt -{}-gofr}                    &  $g(r)$ \\
625 >    &  {\tt -{}-r\_theta}                 &  $g(r, \cos(\theta))$ \\
626 >    &  {\tt -{}-r\_omega}                 &  $g(r, \cos(\omega))$ \\
627 >    &  {\tt -{}-theta\_omega}             &  $g(\cos(\theta), \cos(\omega))$ \\
628 >    &  {\tt -{}-gxyz}                    &  $g(x, y, z)$ \\
629 >    &  {\tt -{}-p2}                      &  $P_2$ order parameter ({\tt -{}-sele1} and {\tt -{}-sele2} must be specified) \\
630 >    &  {\tt -{}-scd}                     &  $S_{CD}$ order parameter(either {\tt -{}-sele1}, {\tt -{}-sele2}, {\tt -{}-sele3} are specified or {\tt -{}-molname}, {\tt -{}-begin}, {\tt -{}-end} are specified) \\
631 >    &  {\tt -{}-density}                 &  density plot ({\tt -{}-sele1} must be specified) \\
632 >    &  {\tt -{}-slab\_density}           &  slab density ({\tt -{}-sele1} must be specified)
633 > \end{longtable}
634 >
635 > \subsection{\label{appendixSection:DynamicProps}DynamicProps}
636 >
637 > {\tt DynamicProps} computes time correlation functions from the
638 > configurations stored in a dump file.  Typical examples of time
639 > correlation functions are the mean square displacement and the
640 > velocity autocorrelation functions.   Once again, the selection
641 > syntax can be used to specify the StuntDoubles that will be used for
642 > the calculation.  A general time correlation function can be thought
643 > of as:
644 > \begin{equation}
645 > C_{AB}(t) = \langle \vec{u}_A(t) \cdot \vec{v}_B(0) \rangle
646 > \end{equation}
647 > where $\vec{u}_A(t)$ is a vector property associated with an atom of
648 > type $A$ at time $t$, and $\vec{v}_B(t^{\prime})$ is a different
649 > vector property associated with an atom of type $B$ at a different
650 > time $t^{\prime}$.  In most autocorrelation functions, the vector
651 > properties ($\vec{v}$ and $\vec{u}$) and the types of atoms ($A$ and
652 > $B$) are identical, and the three calculations built in to {\tt
653 > DynamicProps} make these assumptions.  It is possible, however, to
654 > make simple modifications to the {\tt DynamicProps} code to allow
655 > the use of {\it cross} time correlation functions (i.e. with
656 > different vectors).  The ability to use two selection scripts to
657 > select different types of atoms is already present in the code.
658 >
659 > For large simulations, the trajectory files can sometimes reach
660 > sizes in excess of several gigabytes. In order to effectively
661 > analyze that amount of data. In order to prevent a situation where
662 > the program runs out of memory due to large trajectories,
663 > \texttt{dynamicProps} will estimate the size of free memory at
664 > first, and determine the number of frames in each block, which
665 > allows the operating system to load two blocks of data
666 > simultaneously without swapping. Upon reading two blocks of the
667 > trajectory, \texttt{dynamicProps} will calculate the time
668 > correlation within the first block and the cross correlations
669 > between the two blocks. This second block is then freed and then
670 > incremented and the process repeated until the end of the
671 > trajectory. Once the end is reached, the first block is freed then
672 > incremented, until all frame pairs have been correlated in time.
673 > This process is illustrated in
674 > Fig.~\ref{oopseFig:dynamicPropsProcess}.
675 >
676 > \begin{figure}
677 > \centering
678 > \includegraphics[width=\linewidth]{dynamicPropsProcess.eps}
679 > \caption[A representation of the block correlations in
680 > \texttt{dynamicProps}]{This diagram illustrates block correlations
681 > processing in \texttt{dynamicProps}. The shaded region represents
682 > the self correlation of the block, and the open blocks are read one
683 > at a time and the cross correlations between blocks are calculated.}
684 > \label{oopseFig:dynamicPropsProcess}
685 > \end{figure}
686 >
687 > The options available for DynamicProps are as follows:
688 > \begin{longtable}[c]{|EFG|}
689 > \caption{DynamicProps Command-line Options}
690 > \\ \hline
691 > {\bf option} & {\bf verbose option} & {\bf behavior} \\ \hline
692 > \endhead
693 > \hline
694 > \endfoot
695 >  -h& {\tt -{}-help}                   & Print help and exit \\
696 >  -V& {\tt -{}-version}                & Print version and exit \\
697 >  -i& {\tt -{}-input}         & input dump file \\
698 >  -o& {\tt -{}-output}        & output file name \\
699 >    & {\tt -{}-sele1} & select first StuntDouble set \\
700 >    & {\tt -{}-sele2} & select second StuntDouble set (if sele2 is not set, use script from sele1) \\
701 > \hline
702 > \multicolumn{3}{|l|}{One option from the following group of options is required:} \\
703 > \hline
704 >  -r& {\tt -{}-rcorr}                  & compute mean square displacement \\
705 >  -v& {\tt -{}-vcorr}                  & compute velocity correlation function \\
706 >  -d& {\tt -{}-dcorr}                  & compute dipole correlation function
707 > \end{longtable}
708 >
709 > \section{\label{appendixSection:tools}Other Useful Utilities}
710 >
711 > \subsection{\label{appendixSection:Dump2XYZ}Dump2XYZ}
712 >
713 > {\tt Dump2XYZ} can transform an OOPSE dump file into a xyz file
714 > which can be opened by other molecular dynamics viewers such as Jmol
715 > and VMD\cite{Humphrey1996}. The options available for Dump2XYZ are
716 > as follows:
717 >
718 >
719 > \begin{longtable}[c]{|EFG|}
720 > \caption{Dump2XYZ Command-line Options}
721 > \\ \hline
722 > {\bf option} & {\bf verbose option} & {\bf behavior} \\ \hline
723 > \endhead
724 > \hline
725 > \endfoot
726 >  -h & {\tt -{}-help} &                        Print help and exit \\
727 >  -V & {\tt -{}-version} &                     Print version and exit \\
728 >  -i & {\tt -{}-input}  &             input dump file \\
729 >  -o & {\tt -{}-output} &             output file name \\
730 >  -n & {\tt -{}-frame}   &                 print every n frame  (default=`1') \\
731 >  -w & {\tt -{}-water}       &                 skip the the waters  (default=off) \\
732 >  -m & {\tt -{}-periodicBox} &                 map to the periodic box  (default=off)\\
733 >  -z & {\tt -{}-zconstraint}  &                replace the atom types of zconstraint molecules  (default=off) \\
734 >  -r & {\tt -{}-rigidbody}  &                  add a pseudo COM atom to rigidbody  (default=off) \\
735 >  -t & {\tt -{}-watertype} &                   replace the atom type of water model (default=on) \\
736 >  -b & {\tt -{}-basetype}  &                   using base atom type  (default=off) \\
737 >     & {\tt -{}-repeatX}  &                 The number of images to repeat in the x direction  (default=`0') \\
738 >     & {\tt -{}-repeatY} &                 The number of images to repeat in the y direction  (default=`0') \\
739 >     &  {\tt -{}-repeatZ}  &                The number of images to repeat in the z direction  (default=`0') \\
740 >  -s & {\tt -{}-selection} & By specifying {\tt -{}-selection}=``selection command'' with Dump2XYZ, the user can select an arbitrary set of StuntDoubles to be
741 > converted. \\
742 >     & {\tt -{}-originsele} & By specifying {\tt -{}-originsele}=``selection command'' with Dump2XYZ, the user can re-center the origin of the system around a specific StuntDouble \\
743 >     & {\tt -{}-refsele} &  In order to rotate the system, {\tt -{}-originsele} and {\tt -{}-refsele} must be given to define the new coordinate set. A StuntDouble which contains a dipole (the direction of the dipole is always (0, 0, 1) in body frame) is specified by {\tt -{}-originsele}. The new x-z plane is defined by the direction of the dipole and the StuntDouble is specified by {\tt -{}-refsele}.
744 > \end{longtable}
745 >
746 > \subsection{\label{appendixSection:hydrodynamics}Hydro}
747 >
748 > {\tt Hydro} can calculate resistance and diffusion tensors at the
749 > center of resistance. Both tensors at the center of diffusion can
750 > also be reported from the program, as well as the coordinates for
751 > the beads which are used to approximate the arbitrary shapes. The
752 > options available for Hydro are as follows:
753 > \begin{longtable}[c]{|EFG|}
754 > \caption{Hydrodynamics Command-line Options}
755 > \\ \hline
756 > {\bf option} & {\bf verbose option} & {\bf behavior} \\ \hline
757 > \endhead
758 > \hline
759 > \endfoot
760 >  -h & {\tt -{}-help} &                        Print help and exit \\
761 >  -V & {\tt -{}-version} &                     Print version and exit \\
762 >  -i & {\tt -{}-input}  &             input dump file \\
763 >  -o & {\tt -{}-output} &             output file prefix  (default=`hydro') \\
764 >  -b & {\tt -{}-beads}  &                   generate the beads only, hydrodynamics calculation will not be performed (default=off)\\
765 >     & {\tt -{}-model}  &                 hydrodynamics model (supports ``AnalyticalModel'', ``RoughShell'' and ``BeadModel'') \\
766 > \end{longtable}

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