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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{} \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}
121 + The Singleton pattern not only provides a mechanism to restrict
122 + instantiation of a class to one object, but also provides a global
123 + point of access to the object. Currently implemented as a global
124 + variable, the logging utility which reports error and warning
125 + messages to the console in {\sc OOPSE} is a good candidate for
126 + applying the Singleton pattern to avoid the global namespace
127 + pollution.Although the singleton pattern can be implemented in
128 + various ways  to account for different aspects of the software
129 + designs, such as lifespan control \textit{etc}, we only use the
130 + static data approach in {\sc OOPSE}. {\tt IntegratorFactory} class
131 + is declared as
132 + \begin{lstlisting}[float,caption={[A classic Singleton design pattern implementation(I)] Declaration of {\tt IntegratorFactory} class.},label={appendixScheme:singletonDeclaration}]
133 +
134 +  class IntegratorFactory {
135 +    public:
136 +      static IntegratorFactory* getInstance();
137 +    protected:
138 +      IntegratorFactory();
139 +    private:
140 +      static IntegratorFactory* instance_;
141 +  };
142 + \end{lstlisting}
143 + The corresponding implementation is
144 + \begin{lstlisting}[float,caption={[A classic Singleton design pattern implementation(II)] Implementation of {\tt IntegratorFactory} class.},label={appendixScheme:singletonImplementation}]
145 +
146 + IntegratorFactory::instance_ = NULL;
147 +
148 + IntegratorFactory* getInstance() {
149 +  if (instance_ == NULL){
150 +    instance_ = new IntegratorFactory;
151 +  }
152 +  return instance_;
153 + }
154 + \end{lstlisting}
155 + Since constructor is declared as {\tt protected}, a client can not
156 + instantiate {\tt IntegratorFactory} directly. Moreover, since the
157 + member function {\tt getInstance} serves as the only entry of access
158 + to {\tt IntegratorFactory}, this approach fulfills the basic
159 + requirement, a single instance. Another consequence of this approach
160 + is the automatic destruction since static data are destroyed upon
161 + program termination.
162 +
163   \subsection{\label{appendixSection:factoryMethod}Factory Method}
54 The Factory Method pattern is a creational pattern which deals with
55 the problem of creating objects without specifying the exact class
56 of object that will be created. Factory Method solves this problem
57 by defining a separate method for creating the objects, which
58 subclasses can then override to specify the derived type of product
59 that will be created.
164  
165 + Categoried as a creational pattern, the Factory Method pattern deals
166 + with the problem of creating objects without specifying the exact
167 + class of object that will be created. Factory Method is typically
168 + implemented by delegating the creation operation to the subclasses.
169  
170 + Registers a creator with a type identifier. Looks up the type
171 + identifier in the internal map. If it is found, it invokes the
172 + corresponding creator for the type identifier and returns its
173 + result.
174 + \begin{lstlisting}[float,caption={[].},label={appendixScheme:factoryDeclaration}]
175 +  class IntegratorCreator;
176 +  class IntegratorFactory {
177 +    public:
178 +      typedef std::map<string, IntegratorCreator*> CreatorMapType;
179 +
180 +      bool registerIntegrator(IntegratorCreator* creator);
181 +
182 +      Integrator* createIntegrator(const string& id, SimInfo* info);
183 +
184 +    private:
185 +      CreatorMapType creatorMap_;
186 +  };
187 + \end{lstlisting}
188 +
189 + \begin{lstlisting}[float,caption={[].},label={appendixScheme:factoryDeclarationImplementation}]
190 +  bool IntegratorFactory::unregisterIntegrator(const string& id) {
191 +    return creatorMap_.erase(id) == 1;
192 +  }
193 +
194 +  Integrator*
195 +  IntegratorFactory::createIntegrator(const string& id, SimInfo* info) {
196 +    CreatorMapType::iterator i = creatorMap_.find(id);
197 +    if (i != creatorMap_.end()) {
198 +      //invoke functor to create object
199 +      return (i->second)->create(info);
200 +    } else {
201 +      return NULL;
202 +    }
203 +  }
204 + \end{lstlisting}
205 +
206 + \begin{lstlisting}[float,caption={[].},label={appendixScheme:integratorCreator}]
207 +
208 +  class IntegratorCreator {
209 +  public:
210 +    IntegratorCreator(const string& ident) : ident_(ident) {}
211 +
212 +    const string& getIdent() const { return ident_; }
213 +
214 +    virtual Integrator* create(SimInfo* info) const = 0;
215 +
216 +  private:
217 +    string ident_;
218 +  };
219 +
220 +  template<class ConcreteIntegrator>
221 +  class IntegratorBuilder : public IntegratorCreator {
222 +  public:
223 +    IntegratorBuilder(const string& ident) : IntegratorCreator(ident) {}
224 +    virtual  Integrator* create(SimInfo* info) const {
225 +      return new ConcreteIntegrator(info);
226 +    }
227 +  };
228 + \end{lstlisting}
229 +
230   \subsection{\label{appendixSection:visitorPattern}Visitor}
231 +
232   The purpose of the Visitor Pattern is to encapsulate an operation
233   that you want to perform on the elements of a data structure. In
234   this way, you can change the operation being performed on a
235 < structure without the need of changing the classes of the elements
236 < that you are operating on.
235 > structure without the need of changing the class heirarchy of the
236 > elements that you are operating on.
237  
238 + \begin{lstlisting}[float,caption={[].},label={appendixScheme:visitor}]
239 +  class BaseVisitor{
240 +    public:
241 +      virtual void visit(Atom* atom);
242 +      virtual void visit(DirectionalAtom* datom);
243 +      virtual void visit(RigidBody* rb);
244 +  };
245 + \end{lstlisting}
246 + \begin{lstlisting}[float,caption={[].},label={appendixScheme:element}]
247 +  class StuntDouble {
248 +    public:
249 +      virtual void accept(BaseVisitor* v) = 0;
250 +  };
251  
252 < \subsection{\label{appendixSection:templateMethod}Template Method}
252 >  class Atom: public StuntDouble {
253 >    public:
254 >      virtual void accept{BaseVisitor* v*} {v->visit(this);}
255 >  };
256  
257 +  class DirectionalAtom: public Atom {
258 +    public:
259 +      virtual void accept{BaseVisitor* v*} {v->visit(this);}
260 +  };
261  
262 < \section{\label{appendixSection:analysisFramework}Analysis Framework}
262 >  class RigidBody: public StuntDouble {
263 >    public:
264 >      virtual void accept{BaseVisitor* v*} {v->visit(this);}
265 >  };
266  
267 < \section{\label{appendixSection:hierarchy}Hierarchy}
267 > \end{lstlisting}
268 > \section{\label{appendixSection:concepts}Concepts}
269  
270 < \subsection{\label{appendixSection:selectionSyntax}Selection Syntax}
270 > OOPSE manipulates both traditional atoms as well as some objects
271 > that {\it behave like atoms}.  These objects can be rigid
272 > collections of atoms or atoms which have orientational degrees of
273 > freedom.  Here is a diagram of the class heirarchy:
274  
275 < \subsection{\label{appendixSection:hydrodynamics}Hydrodynamics}
275 > %\begin{figure}
276 > %\centering
277 > %\includegraphics[width=3in]{heirarchy.eps}
278 > %\caption[Class heirarchy for StuntDoubles in {\sc oopse}-3.0]{ \\
279 > %The class heirarchy of StuntDoubles in {\sc oopse}-3.0. The
280 > %selection syntax allows the user to select any of the objects that
281 > %are descended from a StuntDouble.} \label{oopseFig:heirarchy}
282 > %\end{figure}
283  
284 < \subsection{\label{appendixSection:staticProps}Static Properties}
284 > \begin{itemize}
285 > \item A {\bf StuntDouble} is {\it any} object that can be manipulated by the
286 > integrators and minimizers.
287 > \item An {\bf Atom} is a fundamental point-particle that can be moved around during a simulation.
288 > \item A {\bf DirectionalAtom} is an atom which has {\it orientational} as well as translational degrees of freedom.
289 > \item A {\bf RigidBody} is a collection of {\bf Atom}s or {\bf
290 > DirectionalAtom}s which behaves as a single unit.
291 > \end{itemize}
292  
293 < \subsection{\label{appendixSection:dynamicProps}Dynamics Properties}
293 > Every Molecule, Atom and DirectionalAtom in {\sc OOPSE} have their
294 > own names which are specified in the {\tt .md} file. In contrast,
295 > RigidBodies are denoted by their membership and index inside a
296 > particular molecule: [MoleculeName]\_RB\_[index] (the contents
297 > inside the brackets depend on the specifics of the simulation). The
298 > names of rigid bodies are generated automatically. For example, the
299 > name of the first rigid body in a DMPC molecule is DMPC\_RB\_0.
300 >
301 > \section{\label{appendixSection:syntax}Syntax of the Select Command}
302 >
303 > The most general form of the select command is: {\tt select {\it
304 > expression}}. This expression represents an arbitrary set of
305 > StuntDoubles (Atoms or RigidBodies) in {\sc OOPSE}. Expressions are
306 > composed of either name expressions, index expressions, predefined
307 > sets, user-defined expressions, comparison operators, within
308 > expressions, or logical combinations of the above expression types.
309 > Expressions can be combined using parentheses and the Boolean
310 > operators.
311 >
312 > \subsection{\label{appendixSection:logical}Logical expressions}
313 >
314 > The logical operators allow complex queries to be constructed out of
315 > simpler ones using the standard boolean connectives {\bf and}, {\bf
316 > or}, {\bf not}. Parentheses can be used to alter the precedence of
317 > the operators.
318 >
319 > \begin{center}
320 > \begin{tabular}{|ll|}
321 > \hline
322 > {\bf logical operator} & {\bf equivalent operator}  \\
323 > \hline
324 > and & ``\&'', ``\&\&'' \\
325 > or & ``$|$'', ``$||$'', ``,'' \\
326 > not & ``!''  \\
327 > \hline
328 > \end{tabular}
329 > \end{center}
330 >
331 > \subsection{\label{appendixSection:name}Name expressions}
332 >
333 > \begin{center}
334 > \begin{tabular}{|llp{2in}|}
335 > \hline {\bf type of expression} & {\bf examples} & {\bf translation
336 > of
337 > examples} \\
338 > \hline expression without ``.'' & select DMPC & select all
339 > StuntDoubles
340 > belonging to all DMPC molecules \\
341 > & select C* & select all atoms which have atom types beginning with C
342 > \\
343 > & select DMPC\_RB\_* & select all RigidBodies in DMPC molecules (but
344 > only select the rigid bodies, and not the atoms belonging to them). \\
345 > \hline expression has one ``.'' & select TIP3P.O\_TIP3P & select the
346 > O\_TIP3P
347 > atoms belonging to TIP3P molecules \\
348 > & select DMPC\_RB\_O.PO4 & select the PO4 atoms belonging to
349 > the first
350 > RigidBody in each DMPC molecule \\
351 > & select DMPC.20 & select the twentieth StuntDouble in each DMPC
352 > molecule \\
353 > \hline expression has two ``.''s & select DMPC.DMPC\_RB\_?.* &
354 > select all atoms
355 > belonging to all rigid bodies within all DMPC molecules \\
356 > \hline
357 > \end{tabular}
358 > \end{center}
359 >
360 > \subsection{\label{appendixSection:index}Index expressions}
361 >
362 > \begin{center}
363 > \begin{tabular}{|lp{4in}|}
364 > \hline
365 > {\bf examples} & {\bf translation of examples} \\
366 > \hline
367 > select 20 & select all of the StuntDoubles belonging to Molecule 20 \\
368 > select 20 to 30 & select all of the StuntDoubles belonging to
369 > molecules which have global indices between 20 (inclusive) and 30
370 > (exclusive) \\
371 > \hline
372 > \end{tabular}
373 > \end{center}
374 >
375 > \subsection{\label{appendixSection:predefined}Predefined sets}
376 >
377 > \begin{center}
378 > \begin{tabular}{|ll|}
379 > \hline
380 > {\bf keyword} & {\bf description} \\
381 > \hline
382 > all & select all StuntDoubles \\
383 > none & select none of the StuntDoubles \\
384 > \hline
385 > \end{tabular}
386 > \end{center}
387 >
388 > \subsection{\label{appendixSection:userdefined}User-defined expressions}
389 >
390 > Users can define arbitrary terms to represent groups of
391 > StuntDoubles, and then use the define terms in select commands. The
392 > general form for the define command is: {\bf define {\it term
393 > expression}}. Once defined, the user can specify such terms in
394 > boolean expressions
395 >
396 > {\tt define SSDWATER SSD or SSD1 or SSDRF}
397 >
398 > {\tt select SSDWATER}
399 >
400 > \subsection{\label{appendixSection:comparison}Comparison expressions}
401 >
402 > StuntDoubles can be selected by using comparision operators on their
403 > properties. The general form for the comparison command is: a
404 > property name, followed by a comparision operator and then a number.
405 >
406 > \begin{center}
407 > \begin{tabular}{|l|l|}
408 > \hline
409 > {\bf property} & mass, charge \\
410 > {\bf comparison operator} & ``$>$'', ``$<$'', ``$=$'', ``$>=$'',
411 > ``$<=$'', ``$!=$'' \\
412 > \hline
413 > \end{tabular}
414 > \end{center}
415 >
416 > For example, the phrase {\tt select mass > 16.0 and charge < -2}
417 > would select StuntDoubles which have mass greater than 16.0 and
418 > charges less than -2.
419 >
420 > \subsection{\label{appendixSection:within}Within expressions}
421 >
422 > The ``within'' keyword allows the user to select all StuntDoubles
423 > within the specified distance (in Angstroms) from a selection,
424 > including the selected atom itself. The general form for within
425 > selection is: {\tt select within(distance, expression)}
426 >
427 > For example, the phrase {\tt select within(2.5, PO4 or NC4)} would
428 > select all StuntDoubles which are within 2.5 angstroms of PO4 or NC4
429 > atoms.
430 >
431 >
432 > \section{\label{appendixSection:analysisFramework}Analysis Framework}
433 >
434 > \subsection{\label{appendixSection:StaticProps}StaticProps}
435 >
436 > {\tt StaticProps} can compute properties which are averaged over
437 > some or all of the configurations that are contained within a dump
438 > file. The most common example of a static property that can be
439 > computed is the pair distribution function between atoms of type $A$
440 > and other atoms of type $B$, $g_{AB}(r)$.  {\tt StaticProps} can
441 > also be used to compute the density distributions of other molecules
442 > in a reference frame {\it fixed to the body-fixed reference frame}
443 > of a selected atom or rigid body.
444 >
445 > There are five seperate radial distribution functions availiable in
446 > OOPSE. Since every radial distrbution function invlove the
447 > calculation between pairs of bodies, {\tt -{}-sele1} and {\tt
448 > -{}-sele2} must be specified to tell StaticProps which bodies to
449 > include in the calculation.
450 >
451 > \begin{description}
452 > \item[{\tt -{}-gofr}] Computes the pair distribution function,
453 > \begin{equation*}
454 > g_{AB}(r) = \frac{1}{\rho_B}\frac{1}{N_A} \langle \sum_{i \in A}
455 > \sum_{j \in B} \delta(r - r_{ij}) \rangle
456 > \end{equation*}
457 > \item[{\tt -{}-r\_theta}] Computes the angle-dependent pair distribution
458 > function. The angle is defined by the intermolecular vector
459 > $\vec{r}$ and $z$-axis of DirectionalAtom A,
460 > \begin{equation*}
461 > g_{AB}(r, \cos \theta) = \frac{1}{\rho_B}\frac{1}{N_A} \langle
462 > \sum_{i \in A} \sum_{j \in B} \delta(r - r_{ij}) \delta(\cos
463 > \theta_{ij} - \cos \theta)\rangle
464 > \end{equation*}
465 > \item[{\tt -{}-r\_omega}] Computes the angle-dependent pair distribution
466 > function. The angle is defined by the $z$-axes of the two
467 > DirectionalAtoms A and B.
468 > \begin{equation*}
469 > g_{AB}(r, \cos \omega) = \frac{1}{\rho_B}\frac{1}{N_A} \langle
470 > \sum_{i \in A} \sum_{j \in B} \delta(r - r_{ij}) \delta(\cos
471 > \omega_{ij} - \cos \omega)\rangle
472 > \end{equation*}
473 > \item[{\tt -{}-theta\_omega}] Computes the pair distribution in the angular
474 > space $\theta, \omega$ defined by the two angles mentioned above.
475 > \begin{equation*}
476 > g_{AB}(\cos\theta, \cos \omega) = \frac{1}{\rho_B}\frac{1}{N_A}
477 > \langle \sum_{i \in A} \sum_{j \in B} \langle \delta(\cos
478 > \theta_{ij} - \cos \theta) \delta(\cos \omega_{ij} - \cos
479 > \omega)\rangle
480 > \end{equation*}
481 > \item[{\tt -{}-gxyz}] Calculates the density distribution of particles of type
482 > B in the body frame of particle A. Therefore, {\tt -{}-originsele}
483 > and {\tt -{}-refsele} must be given to define A's internal
484 > coordinate set as the reference frame for the calculation.
485 > \end{description}
486 >
487 > The vectors (and angles) associated with these angular pair
488 > distribution functions are most easily seen in the figure below:
489 >
490 > \begin{figure}
491 > \centering
492 > \includegraphics[width=3in]{definition.eps}
493 > \caption[Definitions of the angles between directional objects]{ \\
494 > Any two directional objects (DirectionalAtoms and RigidBodies) have
495 > a set of two angles ($\theta$, and $\omega$) between the z-axes of
496 > their body-fixed frames.} \label{oopseFig:gofr}
497 > \end{figure}
498 >
499 > Due to the fact that the selected StuntDoubles from two selections
500 > may be overlapped, {\tt StaticProps} performs the calculation in
501 > three stages which are illustrated in
502 > Fig.~\ref{oopseFig:staticPropsProcess}.
503 >
504 > \begin{figure}
505 > \centering
506 > \includegraphics[width=\linewidth]{staticPropsProcess.eps}
507 > \caption[A representation of the three-stage correlations in
508 > \texttt{StaticProps}]{This diagram illustrates three-stage
509 > processing used by \texttt{StaticProps}. $S_1$ and $S_2$ are the
510 > numbers of selected stuntdobules from {\tt -{}-sele1} and {\tt
511 > -{}-sele2} respectively, while $C$ is the number of stuntdobules
512 > appearing at both sets. The first stage($S_1-C$ and $S_2$) and
513 > second stages ($S_1$ and $S_2-C$) are completely non-overlapping. On
514 > the contrary, the third stage($C$ and $C$) are completely
515 > overlapping} \label{oopseFig:staticPropsProcess}
516 > \end{figure}
517 >
518 > The options available for {\tt StaticProps} are as follows:
519 > \begin{longtable}[c]{|EFG|}
520 > \caption{StaticProps Command-line Options}
521 > \\ \hline
522 > {\bf option} & {\bf verbose option} & {\bf behavior} \\ \hline
523 > \endhead
524 > \hline
525 > \endfoot
526 >  -h& {\tt -{}-help}                    &  Print help and exit \\
527 >  -V& {\tt -{}-version}                 &  Print version and exit \\
528 >  -i& {\tt -{}-input}          &  input dump file \\
529 >  -o& {\tt -{}-output}         &  output file name \\
530 >  -n& {\tt -{}-step}                &  process every n frame  (default=`1') \\
531 >  -r& {\tt -{}-nrbins}              &  number of bins for distance  (default=`100') \\
532 >  -a& {\tt -{}-nanglebins}          &  number of bins for cos(angle)  (default= `50') \\
533 >  -l& {\tt -{}-length}           &  maximum length (Defaults to 1/2 smallest length of first frame) \\
534 >    & {\tt -{}-sele1}   & select the first StuntDouble set \\
535 >    & {\tt -{}-sele2}   & select the second StuntDouble set \\
536 >    & {\tt -{}-sele3}   & select the third StuntDouble set \\
537 >    & {\tt -{}-refsele} & select reference (can only be used with {\tt -{}-gxyz}) \\
538 >    & {\tt -{}-molname}           & molecule name \\
539 >    & {\tt -{}-begin}                & begin internal index \\
540 >    & {\tt -{}-end}                  & end internal index \\
541 > \hline
542 > \multicolumn{3}{|l|}{One option from the following group of options is required:} \\
543 > \hline
544 >    &  {\tt -{}-gofr}                    &  $g(r)$ \\
545 >    &  {\tt -{}-r\_theta}                 &  $g(r, \cos(\theta))$ \\
546 >    &  {\tt -{}-r\_omega}                 &  $g(r, \cos(\omega))$ \\
547 >    &  {\tt -{}-theta\_omega}             &  $g(\cos(\theta), \cos(\omega))$ \\
548 >    &  {\tt -{}-gxyz}                    &  $g(x, y, z)$ \\
549 >    &  {\tt -{}-p2}                      &  $P_2$ order parameter ({\tt -{}-sele1} and {\tt -{}-sele2} must be specified) \\
550 >    &  {\tt -{}-scd}                     &  $S_{CD}$ order parameter(either {\tt -{}-sele1}, {\tt -{}-sele2}, {\tt -{}-sele3} are specified or {\tt -{}-molname}, {\tt -{}-begin}, {\tt -{}-end} are specified) \\
551 >    &  {\tt -{}-density}                 &  density plot ({\tt -{}-sele1} must be specified) \\
552 >    &  {\tt -{}-slab\_density}           &  slab density ({\tt -{}-sele1} must be specified)
553 > \end{longtable}
554 >
555 > \subsection{\label{appendixSection:DynamicProps}DynamicProps}
556 >
557 > {\tt DynamicProps} computes time correlation functions from the
558 > configurations stored in a dump file.  Typical examples of time
559 > correlation functions are the mean square displacement and the
560 > velocity autocorrelation functions.   Once again, the selection
561 > syntax can be used to specify the StuntDoubles that will be used for
562 > the calculation.  A general time correlation function can be thought
563 > of as:
564 > \begin{equation}
565 > C_{AB}(t) = \langle \vec{u}_A(t) \cdot \vec{v}_B(0) \rangle
566 > \end{equation}
567 > where $\vec{u}_A(t)$ is a vector property associated with an atom of
568 > type $A$ at time $t$, and $\vec{v}_B(t^{\prime})$ is a different
569 > vector property associated with an atom of type $B$ at a different
570 > time $t^{\prime}$.  In most autocorrelation functions, the vector
571 > properties ($\vec{v}$ and $\vec{u}$) and the types of atoms ($A$ and
572 > $B$) are identical, and the three calculations built in to {\tt
573 > DynamicProps} make these assumptions.  It is possible, however, to
574 > make simple modifications to the {\tt DynamicProps} code to allow
575 > the use of {\it cross} time correlation functions (i.e. with
576 > different vectors).  The ability to use two selection scripts to
577 > select different types of atoms is already present in the code.
578 >
579 > For large simulations, the trajectory files can sometimes reach
580 > sizes in excess of several gigabytes. In order to effectively
581 > analyze that amount of data. In order to prevent a situation where
582 > the program runs out of memory due to large trajectories,
583 > \texttt{dynamicProps} will estimate the size of free memory at
584 > first, and determine the number of frames in each block, which
585 > allows the operating system to load two blocks of data
586 > simultaneously without swapping. Upon reading two blocks of the
587 > trajectory, \texttt{dynamicProps} will calculate the time
588 > correlation within the first block and the cross correlations
589 > between the two blocks. This second block is then freed and then
590 > incremented and the process repeated until the end of the
591 > trajectory. Once the end is reached, the first block is freed then
592 > incremented, until all frame pairs have been correlated in time.
593 > This process is illustrated in
594 > Fig.~\ref{oopseFig:dynamicPropsProcess}.
595 >
596 > \begin{figure}
597 > \centering
598 > \includegraphics[width=\linewidth]{dynamicPropsProcess.eps}
599 > \caption[A representation of the block correlations in
600 > \texttt{dynamicProps}]{This diagram illustrates block correlations
601 > processing in \texttt{dynamicProps}. The shaded region represents
602 > the self correlation of the block, and the open blocks are read one
603 > at a time and the cross correlations between blocks are calculated.}
604 > \label{oopseFig:dynamicPropsProcess}
605 > \end{figure}
606 >
607 > The options available for DynamicProps are as follows:
608 > \begin{longtable}[c]{|EFG|}
609 > \caption{DynamicProps Command-line Options}
610 > \\ \hline
611 > {\bf option} & {\bf verbose option} & {\bf behavior} \\ \hline
612 > \endhead
613 > \hline
614 > \endfoot
615 >  -h& {\tt -{}-help}                   & Print help and exit \\
616 >  -V& {\tt -{}-version}                & Print version and exit \\
617 >  -i& {\tt -{}-input}         & input dump file \\
618 >  -o& {\tt -{}-output}        & output file name \\
619 >    & {\tt -{}-sele1} & select first StuntDouble set \\
620 >    & {\tt -{}-sele2} & select second StuntDouble set (if sele2 is not set, use script from sele1) \\
621 > \hline
622 > \multicolumn{3}{|l|}{One option from the following group of options is required:} \\
623 > \hline
624 >  -r& {\tt -{}-rcorr}                  & compute mean square displacement \\
625 >  -v& {\tt -{}-vcorr}                  & compute velocity correlation function \\
626 >  -d& {\tt -{}-dcorr}                  & compute dipole correlation function
627 > \end{longtable}
628 >
629 > \section{\label{appendixSection:tools}Other Useful Utilities}
630 >
631 > \subsection{\label{appendixSection:Dump2XYZ}Dump2XYZ}
632 >
633 > {\tt Dump2XYZ} can transform an OOPSE dump file into a xyz file
634 > which can be opened by other molecular dynamics viewers such as Jmol
635 > and VMD\cite{Humphrey1996}. The options available for Dump2XYZ are
636 > as follows:
637 >
638 >
639 > \begin{longtable}[c]{|EFG|}
640 > \caption{Dump2XYZ Command-line Options}
641 > \\ \hline
642 > {\bf option} & {\bf verbose option} & {\bf behavior} \\ \hline
643 > \endhead
644 > \hline
645 > \endfoot
646 >  -h & {\tt -{}-help} &                        Print help and exit \\
647 >  -V & {\tt -{}-version} &                     Print version and exit \\
648 >  -i & {\tt -{}-input}  &             input dump file \\
649 >  -o & {\tt -{}-output} &             output file name \\
650 >  -n & {\tt -{}-frame}   &                 print every n frame  (default=`1') \\
651 >  -w & {\tt -{}-water}       &                 skip the the waters  (default=off) \\
652 >  -m & {\tt -{}-periodicBox} &                 map to the periodic box  (default=off)\\
653 >  -z & {\tt -{}-zconstraint}  &                replace the atom types of zconstraint molecules  (default=off) \\
654 >  -r & {\tt -{}-rigidbody}  &                  add a pseudo COM atom to rigidbody  (default=off) \\
655 >  -t & {\tt -{}-watertype} &                   replace the atom type of water model (default=on) \\
656 >  -b & {\tt -{}-basetype}  &                   using base atom type  (default=off) \\
657 >     & {\tt -{}-repeatX}  &                 The number of images to repeat in the x direction  (default=`0') \\
658 >     & {\tt -{}-repeatY} &                 The number of images to repeat in the y direction  (default=`0') \\
659 >     &  {\tt -{}-repeatZ}  &                The number of images to repeat in the z direction  (default=`0') \\
660 >  -s & {\tt -{}-selection} & By specifying {\tt -{}-selection}=``selection command'' with Dump2XYZ, the user can select an arbitrary set of StuntDoubles to be
661 > converted. \\
662 >     & {\tt -{}-originsele} & By specifying {\tt -{}-originsele}=``selection command'' with Dump2XYZ, the user can re-center the origin of the system around a specific StuntDouble \\
663 >     & {\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}.
664 > \end{longtable}
665 >
666 > \subsection{\label{appendixSection:hydrodynamics}Hydro}
667 >
668 > {\tt Hydro} can calculate resistance and diffusion tensors at the
669 > center of resistance. Both tensors at the center of diffusion can
670 > also be reported from the program, as well as the coordinates for
671 > the beads which are used to approximate the arbitrary shapes. The
672 > options available for Hydro are as follows:
673 > \begin{longtable}[c]{|EFG|}
674 > \caption{Hydrodynamics Command-line Options}
675 > \\ \hline
676 > {\bf option} & {\bf verbose option} & {\bf behavior} \\ \hline
677 > \endhead
678 > \hline
679 > \endfoot
680 >  -h & {\tt -{}-help} &                        Print help and exit \\
681 >  -V & {\tt -{}-version} &                     Print version and exit \\
682 >  -i & {\tt -{}-input}  &             input dump file \\
683 >  -o & {\tt -{}-output} &             output file prefix  (default=`hydro') \\
684 >  -b & {\tt -{}-beads}  &                   generate the beads only, hydrodynamics calculation will not be performed (default=off)\\
685 >     & {\tt -{}-model}  &                 hydrodynamics model (supports ``AnalyticalModel'', ``RoughShell'' and ``BeadModel'') \\
686 > \end{longtable}

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