Organización de Datos (75.06)
\newline
-Trabajo Práctico
+Trabajo Práctico 3
\newline
JACU
\layout Author
\layout Chapter
-Introducción al compresor
+Introducción
\layout Section
Método de compresión utilizado
\layout Standard
-Si bien un compresor estadístico final más robusto como el PPMC o bien un
- Huffman Dinámico podrían producir ratios de compresión un tanto mejores,
- a fines de resguardar la confección de un compresor estable y poseer tiempo
- suficiente para realizar pruebas y optimizaciones, se optó por el Huffman
- Estático, al cual se lo contrapuso con una implementación Third Party de
- uno dinámico, y las diferencias fueron mínimas tanto en tiempo como en
- compresión, descartando así la posibilidad de extender el estático al dinámico.
+Si bien un compresor estadístico final más robusto como el
+\series bold
+PPMC
+\series default
+ o bien un
+\series bold
+Huffman Dinámico
+\series default
+ podrían producir niveles de compresión un tanto mejores, a fines de resguardar
+ la confección de un compresor estable y poseer tiempo suficiente para realizar
+ pruebas y optimizaciones, se optó por el
+\series bold
+Huffman Estático
+\series default
+.
+ No obstante, se comparó con una implementación de
+\series bold
+Huffman Dinámico
+\series default
+ de ejemplo obtenida de Internet y se observaron que los resultados eran
+ muy similares, a veces obteniendo un mejor nivel de compresión y a veces
+ obteniendo uno peor, descartando luego de estas pruebas la posibilidad
+ de extender el estático al dinámico.
\layout Standard
Además de la capacidad natural de todo compresor (esto es, de comprimir/descompr
-imir), la implementación que describiremos a continuación cuenta con features
- especiales que se verán detallados en la
+imir), la implementación que describiremos a continuación cuenta con característ
+icas especiales que se verán detallados en la
\series bold
sección
\begin_inset LatexCommand \ref{sec:Features-Especiales}
\series default
-, los cuales a saberse son:
+.
+ Dichas características se resumen a:
\layout Itemize
-Persistencia del Modelo Orden-0 de Huffman (AKA: Huffman Canónico)
+Persistencia del Modelo Orden-0 de
+\series bold
+Huffman Estático
+\series default
+ (
+\series bold
+Huffman Canónico
+\series default
+)
\layout Itemize
-ZeroGroupping (Abreviación de ceros a la salida del MTF)
+
+\series bold
+Zero Grouping
+\series default
+ (Agrupación de Ceros, aplicado a la salida del
+\series bold
+MTF
+\series default
+)
\layout Itemize
-Word-Scaping (Optimización para textos detallada posteriormente)
+
+\series bold
+Word-Scaping
+\series default
+ (Optimización para textos detallada posteriormente)
\layout Section
-Documentación
+Compilación
\layout Standard
-Para obtener una documentación de la API, se incluye en formato HTML en
- el CD-ROM la documentación generada con Doxygen para los distintos componentes
- del compresor.
- Esta documentación se encuentra en el directorio
+Para compilar es necesario el programa
\family typewriter
-doc/api/html
+make
+\family default
+ (además de un compilador, por supuesto, para desarrollar utilizamos
+\family typewriter
+gcc
+\family default
+ 3.3.x).
+ Sólo hay que correr en el directorio
+\family typewriter
+src/
+\family default
+:
+\layout LyX-Code
+
+make depend
+\layout LyX-Code
+
+make
+\layout Standard
+
+El
+\family typewriter
+make depend
+\family default
+ utiliza la herramienta
+\family typewriter
+makedepend
+\family default
+ que analiza los archivos fuentes
+\family typewriter
+.c
+\family default
+ y busca sus dependencias con archivos
+\family typewriter
+.h
+\family default
+ observando la directiva
+\family typewriter
+#include
\family default
.
+ De esta manera se simplifica el mantenimiento del
+\family typewriter
+Makefile
+\family default
+.
+\layout Standard
+
+El
+\family typewriter
+make
+\family default
+ se encarga de la compilación en sí.
\layout Section
Modo de uso
\layout Standard
Antes de pasar a la descripción de la implementación de nuestro compresor,
- detallaremos a continuación las instrucciones pertinentes para la correcta
- y óptima utilización de nuestro compresor.
+ detallaremos el modo de uso.
\layout Subsection
-Invocación standard
+Invocación simple
\layout Paragraph
\series medium
Como hemos ancitipado anteriormente, el compresor cuenta con features especiales
- que pueden ser utilizados a través de flags en la invocación del programa.
+ que pueden ser utilizados a través de opciones en la invocación del programa.
Antes de pasar a su descripción, notamos la invocación general para comprimir
- y descomprimir un archivo.
-\layout Paragraph
+ y descomprimir un archivo como se pidió en el enunciado
+\begin_inset Foot
+collapsed false
+\layout Standard
-\series medium
-Sea
-\series default
+Nótese que
+\family typewriter
+grupo11
+\family default
+ es un enlace simbólico a
+\family typewriter
jacu
+\family default
+, nombre real del ejecutable.
+\end_inset
+
+.
+\layout Paragraph*
+
+Compresión:
+\layout Standard
+
+
+\family typewriter
\series medium
- el archivo ejecutable correspondiente al compresor, tendremos la siguientes
- formas básicas de invocación:
-\layout Paragraph
+./grupo11 -c [-t volsize] sourcefile targetfile
+\layout Standard
+
-Compresión:
\series medium
-./jacu -c [-t volsize] sourcefile targetfile
-\newline
Siendo
-\noun on
+\family typewriter
sourcefile
-\noun default
+\family default
el nombre del archivo a comprimir y
-\noun on
+\family typewriter
targetfile
-\noun default
+\family default
el nombre del archivo comprimido.
-\layout Paragraph
+\layout Paragraph*
+
+Descompresión:
+\layout Standard
+
+
+\family typewriter
+\series medium
+./grupo11 -d sourcefile targetfile
+\layout Standard
+
-Descompresión:
\series medium
-./jacu -d sourcefile targetfile
-\newline
Siendo
-\noun on
+\family typewriter
sourcefile
-\noun default
+\family default
el nombre del archivo a descomprimir y
-\noun on
+\family typewriter
targetfile
-\noun default
+\family default
el nombre del archivo descomprimido.
-\layout Quote
-
+\layout Paragraph*
-\series bold
Nota:
-\series default
- El flag
-\series bold
+\layout Standard
+
+La opción
+\family typewriter
-t
-\series default
- es un flag opcional que permite generar un archivo comprimido multivolumen,
- donde
-\series bold
-volsize
-\series default
- será el tamaño en kbytes de cada volúmen, excepto el último que podrá ser
- menor.
+\family default
+ opcional que permite generar un archivo comprimido multivolumen, donde
+ volsize será el tamaño en kbytes de cada volumen, excepto el último que
+ podrá ser menor.
\layout Subsection
-Execution Flags
+
\begin_inset LatexCommand \label{sub:Execution-Flags}
\end_inset
-
+Opciones adicionales
\layout Standard
-Ademas de los flags standards que hemos visto recién, nuestro compresor
- cuenta con otra serie de ellos para la utilización de los features especiales
+Además de los flags estándar que hemos visto recién, nuestro compresor cuenta
+ con otra serie de ellos para la utilización de los características especiales
que veremos más adelante.
A fines de documentar la totalidad de los flags de ejecución, detallamos
los anteriores y los adicionales a continuación:
\layout List
\labelwidthstring 00.00.0000
--c Indica que se desea comprimir un archivo
+
+\family typewriter
+-c
+\family default
+ Indica que se desea comprimir un archivo (mutuamente exclusivo con
+\family typewriter
+-d
+\family default
+, al menos uno debe estar presente).
\layout List
\labelwidthstring 00.00.0000
--d Indica que se desea descomprimir un archivo
+
+\family typewriter
+-d
+\family default
+ Indica que se desea descomprimir un archivo (mutuamente exclusivo con
+\family typewriter
+-c
+\family default
+, al menos uno debe estar presente).
\layout List
\labelwidthstring 00.00.0000
--t Indica que se desea un archivo comprimido en multivolumenes.
- Seguido a dicho flag se debe indicar el tamaño en kbytes que se desea para
+
+\family typewriter
+-t
+\family default
+ Indica que se desea un archivo comprimido en multivolumenes.
+ Seguido a dicho flag se debe indicar el tamaño en KBytes que se desea para
los volúmenes.
\layout List
\labelwidthstring 00.00.0000
--z Puede ser utilizado unicamente en una compresión y activa el feature
- de ZeroGroupping
+
+\family typewriter
+-z
+\family default
+ Puede ser utilizado únicamente en una compresión y activa el feature de
+
+\series bold
+Zero Grouping
+\series default
+.
+\layout List
+\labelwidthstring 00.00.0000
+
+
+\family typewriter
+-r
+\family default
+ Puede ser utilizado únicamente en una compresión y activa el característica
+ de
+\series bold
+Word Scaping
+\series default
+, que realizar un reemplazo de palabras frecuentes antes del BlockSorting.
\layout List
\labelwidthstring 00.00.0000
--s Puede ser utilizado unicamente en una compresión y graba el modelo de
- orden-0 de huffman generado durante la compresión del archivo (en un archivo
- de extensión .
+
+\family typewriter
+-s
+\family default
+ Puede ser utilizado únicamente en una compresión y graba el modelo de orden-0
+ de
\series bold
-ftb
+Huffman
+\series default
+ generado durante la compresión del archivo (en un archivo de extensión
+
+\family typewriter
+\series bold
+.
\series default
+ftb
+\family default
), para que luego pueda ser reutilizado en otra compresión.
\layout List
\labelwidthstring 00.00.0000
--m Puede ser utilizado únicamente en una compresión y carga un modelo de
- orden-0 de huffman para ser utilizado en la compresión del archivo especificado
-, evitando el escaneado del archivo a comprimir.
+
+\family typewriter
+-m
+\family default
+ Puede ser utilizado únicamente en una compresión y carga un modelo de orden-0
+ de
+\series bold
+Huffman
+\series default
+ para ser utilizado en la compresión del archivo especificado, evitando
+ el escaneado del archivo a comprimir.
Deberá ser sucedido por el nombre del archivo que posee el modelo.
-\layout Subsection
+\layout List
+\labelwidthstring 00.00.0000
+
+
+\family typewriter
+-q
+\family default
+ Especifica la calidad (nivel) de compresión.
+ Puede ser un valor entre 0 y 9, siendo 0 el menor nivel de compresión (más
+ rápido) y 9 el máximo (más lento).
+ Por omisión se utiliza un nivel de compresión 5
+\begin_inset Foot
+collapsed true
+
+\layout Standard
+
+Cada valor de este parámetro está asociado a un tamaño de página usado para
+ el algoritmo de
+\series bold
+Block Sorting
+\series default
+.
+ Los tamaños de página en bytes son, de 0 a 9 respectivamente: 1K, 2K, 4K,
+ 8K, 16K, 32K, 64K, 128K, 256K y 512K.
+\end_inset
+
+.
+\layout Subsubsection*
Ejemplos
\layout Standard
-Damos a continuación unos breves ejemplos de invocación utilizando los flags
- opcionales:
+Damos a continuación unos breves ejemplos de invocación utilizando diferentes
+ opciones:
\layout Itemize
-Compresión multivolumen (de 1024 kbytes each):
-\series bold
-./jacu -c -t 1024 libro.txt libro.z
+Compresión multivolumen (de 1024KB, cada uno):
+\family typewriter
+
+\newline
+./grupo11 -c -t 1024 libro.txt libro.j
\layout Itemize
-Compresión con ZeroGroupping:
+Compresión con
\series bold
-./jacu -cz libro.txt libro.z
+Zero Grouping
+\series default
+:
+\newline
+
+\family typewriter
+./grupo11 -cz libro.txt libro.j
\layout Itemize
-Compresión grabando modelo de huffman:
+Compresión grabando modelo de
\series bold
-./jacu -cs libro.txt libro.z
+Huffman Canónico
+\series default
+:
+\newline
+
+\family typewriter
+./grupo11 -cs libro.txt libro.j
\layout Itemize
-Compresión con huffman canónico (carga de modelo):
+Compresión con carga de
\series bold
-./jacu -c libro.txt libro.z -m modelfile
+Huffman Canónico
+\series default
+:
+\newline
+
+\family typewriter
+./grupo11 -c libro.txt libro.j -m modelo.ftb
+\layout Itemize
+
+Compresión de máxima calidad y volúmenes de 100KB:
+\newline
+
+\family typewriter
+./grupo11 -czt100 -q9 libro.txt libro.j
+\layout Itemize
+
+Descompresión de cualquiera de los anteriores:
+\newline
+
+\family typewriter
+./grupo11 -d libro.j libro_descomprimido.txt
\layout Chapter
Implementación
\layout Subsection
Block Sorting
-\layout Subsection
+\layout Standard
-Move to Front
-\layout Subsection
+La técnica de Block Sorting
+\begin_inset Foot
+collapsed true
-Huffman Estático
\layout Standard
-Si bien no ahondaremos en detalles de implementación que pueden observarse
- en la documentación generada por doxygen que acompaña este informe, pasamos
- a presentar la interfaz a través de la cual el usuario podrá utilizar este
- compresor.
- Antes, es necesario comentar que el estado del compresor, se mantiene a
- través de una estructura definida como
-\series bold
-HUFF_STATE
-\series default
-, en la cual se especificara cosas tales como si el compresor actua sobre
- archivos o chunks de datos, si es un huffman canonico o standard, archivo
- a comprimir, archivo destino, etc.
-\layout Paragraph
+desde ahora lo llamaremos BS, para minimizar la notación.
+\end_inset
+ tiene su principal desventaja en que es un algoritmo que consume muchos
+ recursos, y para ser una solución práctica debe ser trabajada para dar
+ resultados coherentes.
+\layout Standard
-\series medium
-El compresor y/o descompresor Huffman Estático, será inicializado y desinicializ
-ado utilizando las rutinas:
-\layout Itemize
+En una implementación simple, el BS debe crear una matriz y crear todos
+ los desplazamientos sobre ella.
+ Esto hace que se necesite
+\begin_inset Formula $O(n^{2})$
+\end_inset
+ en memoria, donde
+\begin_inset Formula $n$
+\end_inset
-\noun on
-HUFF_STATE *shuff_init_encoder_byfile(char *inputfile, char *outputfile,
- long volsize);
-\layout Itemize
+ es la longitud del vector sobre el cual se quiere operar.
+ Claramente es un problema, ya que para una página pequeña, digamos 1kb,
+ se necesita una matriz de 1Mb.
+\layout Standard
+El otro problema es el tiempo de ordenamiento de los desplazamientos, que
+ debe ser lo menor posible.
+ Una posibilidad es utilizar un método de ordenamiento de bajo orden, como
+ el Quick Sort
+\begin_inset Foot
+collapsed true
-\noun on
-HUFF_STATE *shuff_init_encoder_bychunk(char *outputfile, long volsize);
-\layout Itemize
+\layout Standard
+Se ha optado por utilizar el qsort de la libc por ser ANSI-C y tener una
+ técnica de selección del pivot aceptable.
+\end_inset
-\noun on
-HUFF_STATE *shuff_init_decoder(char *inputfile, char *outputfile);
-\layout Itemize
+ utilizado en esta implementación.
+ Otra posible opción hubiera sido el Heap Sort, pero dada la complejidad
+ de su implementación no se creyó que diera una mejora factible y suficiente
+ apreciable como para implementarlo.
+\layout Standard
+Como última opción se estudió el Radix Sort, ya que justamente nuestro dato
+ a ordenar es de longitud fija
+\begin_inset Formula $n$
+\end_inset
-\noun on
-void shuff_deinit_encoder(HUFF_STATE *shuff);
-\layout Itemize
+ y se cuenta con un conjunto de
+\begin_inset Formula $L=255$
+\end_inset
+ elementos posibles a aparecer en el dato.
+ El orden de éste método sería
+\begin_inset Formula $O(n*L)$
+\end_inset
-\noun on
-void shuff_deinit_decoder(HUFF_STATE *shuff);
+, pero para que realmente el Radix Sort sea efectivo, se requiere que
+\begin_inset Formula $255=L<log_{2}(n)=15$
+\end_inset
+
+, por lo que fue descartado.
\layout Standard
-Las restantes rutinas que son utilizadas para efectuar la compresión o compresió
-n concreta, se detallan en la documentación extendida en doxygen, no obstante
- vamos a detallar la mínima interfaz para poder operar con el compresor:
-\layout Section
+Para solucionar el problema del consumo de memoria se plateó un esquema
+ como el que se indica a continuación :
+\layout LyX-Code
-Features y Optimizaciones
-\begin_inset LatexCommand \label{sec:Features-Especiales}
+
+\layout LyX-Code
-\end_inset
+\size small
+ +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
+\layout LyX-Code
-\layout Standard
-Como fue anticipado al inicio de este documento, nuestro compresor cuenta
- con funcionalidad extra que permite en ciertos casos obtener mejores ratios
- de compresión.
- Pasamos a describir las mismas una por una, terminando por último con una
- optimización específica para textos.
-\layout Subsection
+\size small
+Dato | | | | | | | | | | | | | | | | | | | | | | | | | |
+\layout LyX-Code
-Huffman Canónico
-\layout Standard
-Dada la naturaleza del Huffman Estático que hemos implementado como el compresor
- estadístico final de la cadena BS+MTF+Compresor, el mismo se vale de un
- modelo estadístico de orden-0, el cual es obtenido realizando una pasada
- inicial al archivo a comprimir, en la cual obtiene una tabla de frecuencias/pro
-babilidades, y la cual es utilizada para generar el árbol de huffman, que
- a su vez da órigen a una tabla de códigos prefijos que finalmente es utilizada
- en el compresor, para encodear los símbolos o caractéres del archivo original.
-\layout Standard
+\size small
+ +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
+\layout LyX-Code
-Dicho esto, destacamos la extensión que hemos realizado a nuestro compresor
+
+\size small
+ ^ ^ ^
+\layout LyX-Code
+
+
+\size small
+Desplazamientos | | |
+\layout LyX-Code
+
+
+\size small
+ +-+ | | |
+\layout LyX-Code
+
+
+\size small
+ | |---------+ | |
+\layout LyX-Code
+
+
+\size small
+ +-+ | |
+\layout LyX-Code
+
+
+\size small
+ | |-----------+ |
+\layout LyX-Code
+
+
+\size small
+ +-+ |
+\layout LyX-Code
+
+
+\size small
+
+\backslash
+/
+\backslash
+ |
+\layout LyX-Code
+
+
+\size small
+ +-+ |
+\layout LyX-Code
+
+
+\size small
+ | |---------------------------------------------------------+
+\layout LyX-Code
+
+
+\size small
+ +-+
+\layout Standard
+
+El vector desplazamiento es una estructura de control que almacena :
+\layout Itemize
+
+La posición inicial de la palabra desplazada i en el Dato
+\layout Itemize
+
+La posición final de la palabra desplazada en el Dato ( se calcula como
+ (pos_inicial+n-1)%n)
+\layout Standard
+
+La ganancia de este método es que se utilizan
+\begin_inset Formula $2*n$
+\end_inset
+
+ bytes de memoria solamente, es decir, que se bajó a O(n) el orden en memoria
+ del algoritmo.
+\layout Standard
+
+Luego de inicializar el vector Desplazamiento (esta parte es
+\begin_inset Formula $O(n)$
+\end_inset
+
+ en tiempo) se ordena el vector utilizando el qsort, que es del orden de
+
+\begin_inset Formula $O(n*log_{2}(n))$
+\end_inset
+
+
+\begin_inset Foot
+collapsed true
+
+\layout Standard
+
+En realidad es del orden de O(1.44*n*log2(n)), para el caso promedio.
+\end_inset
+
+.
+ Y como último paso se obtiene la salida recurriendo el vector Desplazamiento
+ ordenado y emitiendo el último byte de cada posición.
+ Si se detecta la posición donde la posición inicial sea 0, se obtiene el
+ k para retornar.
+\layout Standard
+
+Se debe aclara que los órdenes estimados más arriba se basan en la suposición
+ de que el orden de una comparación en
+\begin_inset Formula $O(1)$
+\end_inset
+
+.
+ En el caso de tener que comprimir archivos donde los desplazamientos queden
+ iguales o solo cambien sobre el final, los órdenes se ven muy afectados.
+ Sin embargo, para el caso promedio no se comporta tan mal.
+\layout Subsection
+
+Move to Front (MTF)
+\layout Standard
+
+La idea básica del move to front es mantener una lista que represente los
+ símbolos del archivo o bloque a procesar, y a su vez coloca los símbolos
+ mas frecuentes al frente de esta lista.
+\layout Standard
+
+Ejemplo:
+\layout LyX-Code
+
+Entrada:
+\begin_inset Quotes eld
+\end_inset
+
+aaaabbabbbaaaaaccccbbccbbbbdddddbbbb
+\begin_inset Quotes erd
+\end_inset
+
+
+\layout LyX-Code
+
+Lista de símbolos:
+\begin_inset Quotes eld
+\end_inset
+
+abcd
+\begin_inset Quotes erd
+\end_inset
+
+
+\layout LyX-Code
+
+Salida: 000010110010000200020101000300001000
+\layout Standard
+
+Un símbolo es codificado como el índice (ó posición) en la lista de símbolos
+ inicial (la cual contiene a todos los símbolos diferentes del archivo o
+ bloque de datos).
+ Al comenzar el proceso, se leen uno por uno los símbolos del archivo o
+ bloque original y este mismo símbolo es promovido hacia el frente de la
+ lista, de esta los símbolos mas frecuentes tienden a posicionarse al frente
+ de la lista.
+\layout Standard
+
+Como este esquema es aplicado luego de ser procesado por el
+\emph on
+block sorting
+\emph default
+ tenemos la seguridad que existirá una fuerte localidad de símbolos en el
+ bloque de datos recibido, esto provocará que la salida del
+\emph on
+move to front
+\emph default
+posea una gran cantidad de cadenas de ceros consecutivos, que luego pueden
+ ser codificados nuevamente, lo que favorece la compresión final.
+\layout Subsection
+
+Huffman Estático
+\layout Standard
+
+Si bien no ahondaremos en detalles de implementación que pueden observarse
+ en la documentación generada por doxygen que acompaña este informe, pasamos
+ a presentar la interfaz a través de la cual el usuario podrá utilizar este
+ compresor.
+ Antes, es necesario comentar que el estado del compresor, se mantiene a
+ través de una estructura definida como
+\family typewriter
+HUFF_STATE
+\family default
+, en la cual se especificarán cosas tales como si el compresor actúa sobre
+ archivos o chunks de datos, si es un huffman canónico o estándar, archivo
+ a comprimir, archivo destino, etc.
+\layout Paragraph
+
+
+\series medium
+El compresor y/o descompresor Huffman Estático, será inicializado y desinicializ
+ado utilizando las rutinas:
+\layout Itemize
+
+
+\family typewriter
+HUFF_STATE *shuff_init_encoder_byfile(char *inputfile, char *outputfile,
+ long volsize);
+\layout Itemize
+
+
+\family typewriter
+HUFF_STATE *shuff_init_encoder_bychunk(char *outputfile, long volsize);
+\layout Itemize
+
+
+\family typewriter
+HUFF_STATE *shuff_init_decoder(char *inputfile, char *outputfile);
+\layout Itemize
+
+
+\family typewriter
+void shuff_deinit_encoder(HUFF_STATE *shuff);
+\layout Itemize
+
+
+\family typewriter
+void shuff_deinit_decoder(HUFF_STATE *shuff);
+\layout Standard
+
+Para llevar a cabo la compresión efectiva de un archivo o chunks de datos,
+ se cuentan con las siguientes rutinas:
+\layout Itemize
+
+
+\family typewriter
+int shuff_encode_file(HUFF_STATE *shuff);
+\layout Itemize
+
+
+\family typewriter
+int shuff_decode_file(HUFF_STATE *shuff);
+\layout Itemize
+
+
+\family typewriter
+int shuff_scanfreq_chunk(HUFF_STATE *shuff, char* chunk, int chunksize);
+\layout Itemize
+
+
+\family typewriter
+int shuff_decode_chunk(HUFF_STATE *shuff, char *chunk, int chunksize, int
+ *decodedbytes);
+\layout Paragraph
+
+Operación sobre archivos o chunks
+\layout Paragraph
+
+
+\series medium
+Dado que se requería la utilización de este compresor en la etapa final
+ de un BS+MTF, el mismo proporciona funcionalidad para comprimir directamente
+ un archivo especificado, o bien para realizar la compresión de chunks de
+ datos, que en nuestro caso serán las salidas del Move to Front.
+\layout Paragraph
+
+Persistencia del Modelo Estadístico de Orden 0
+\layout Paragraph
+
+
+\series medium
+A fines de poder grabar o cargar un modelo de orden-0 el cual simplemente
+ consiste en una tabla de frecuencias/probabilidades de los 255 símbolos
+ posibles en un archivo, dando lugar al Huffman Canónico que será explicado
+ posteriormente, se cuenta con dos funciones:
+\family typewriter
+shuff_save_model()
+\family default
+, y
+\family typewriter
+shuff_load_model()
+\layout Subsection
+
+Virtual File
+\layout Standard
+
+Uno de los problemas que teníamos al principio era que las tareas estaban
+ mezcladas, entonces donde se estaba comprimiendo, se estaba guardando también
+ en un archivo y manejando la lógica de hacer los splits de los archivos.
+\layout Standard
+
+Obviamente como eso resultaba muy molesto planteamos un modelo más abstracto
+ al que llamamos
+\emph on
+Virtual File
+\emph default
+, que es una API escrita sobre la API ANSI-C de Input/Output que maneja
+ de manera transparente este tema.
+\layout Standard
+
+Utilizar la API esta tan simple como agregar una
+\begin_inset Quotes eld
+\end_inset
+
+v
+\begin_inset Quotes erd
+\end_inset
+
+ delante de las funciones
+\family typewriter
+fopen
+\family default
+,
+\family typewriter
+fclose
+\family default
+,
+\family typewriter
+fread
+\family default
+, etc y reemplazar la estructura
+\family typewriter
+FILE
+\family default
+ por
+\family typewriter
+VFILE
+\family default
+.
+\layout Standard
+
+Cuando se abre un archivo para escritura a medida que se van escribiendo
+ bytes se va incrementando un contador.
+ Si el contador llega al limite pedido, se cierra el archivo actual, se
+ abre el siguiente y se sigue escribiendo en éste, de manera totalmente
+ transparente para el usuario/programador.
+\layout Standard
+
+La lectura es similar.
+ Cada vez que se llega al EOF de un archivo, si éste no es el último volumen,
+ se cierra el archivo actual y se abre el siguiente hasta llegar al EOF
+ del último volumen.
+\layout Standard
+
+Esta API sólo agrega un byte de información de control delante de cada volumen,
+ que indica si es el último volumen del archivo virtual.
+ De esta manera se pueden abrir y leer archivos virtuales sin saber a priori
+ el tamaño de los volúmenes (hasta se podría ampliar la API de escritura
+ para que cada volumen tenga un tamaño distinto y la API de lectura seguiría
+ funcionando sin cambios).
+\layout Section
+
+
+\begin_inset LatexCommand \label{sec:Features-Especiales}
+
+\end_inset
+
+Optimizaciones y Características adicionales
+\layout Standard
+
+Como fue anticipado al inicio de este documento, nuestro compresor cuenta
+ con funcionalidad extra que permite en ciertos casos obtener mejores niveles
+ de compresión.
+ Pasamos a describir las mismas una por una, terminando por último con una
+ optimización específica para textos.
+\layout Subsection
+
+Huffman Canónico
+\layout Standard
+
+Dada la naturaleza del Huffman Estático que hemos implementado como el compresor
+ estadístico final de la cadena
+\series bold
+BS+MTF+Compresor
+\series default
+, el mismo se vale de un modelo estadístico de orden-0, el cual es obtenido
+ realizando una pasada inicial al archivo a comprimir, en la cual obtiene
+ una tabla de frecuencias/probabilidades, y la cual es utilizada para generar
+ el árbol de Huffman, que a su vez da origen a una tabla de códigos prefijos
+ que finalmente es utilizada en el compresor, para codificar los símbolos
+ o caracteres del archivo original.
+\layout Standard
+
+Dicho esto, destacamos la extensión que hemos realizado a nuestro compresor
de Huffman para que pueda guardar y/o cargar un modelo estadístico de orden-0
y el usuario pueda por ejemplo utilizar para comprimir cualquier archivo
de texto, un modelo que él crea óptimo para la compresión de dichos archivos,
Esta capacidad de un compresor de Huffman, se la conoce como Huffman Canónico,
y se encuentra presente en nuestro compresor.
- Para saber más sobre su modo de uso, dirigirse a la
+ Para saber más sobre su modo de uso, dirigirse a la sección
\series bold
-sección
+
\begin_inset LatexCommand \ref{sub:Execution-Flags}
\end_inset
.
\layout Subsection
-Zero Groupping
-\layout Standard
-
-Siendo el producto del BlockSorting + Move to front, secuencias de valores
- de 0 a 255, en donde gracias al Block Sorting que aumenta la localidad
- de los bloques de datos del archivo original que se van procesando, se
- tendrá una gran aparición de 0 (ceros) en la salida del Move to front.
+Zero Grouping
\layout Standard
-Aprovechando este factor, hemos implementando este método de Zero Groupping,
- en donde abreviaremos las series de ceros que se presenten en forma consecutiva
- en la salida de un MTF, por un byte con valor hexa 00, y un factor de repetició
-n a continuación del byte anterior (el mayor valor de repetición sera 255
- para poder albergarlo en un byte).
- De poseer una secuencia de ceros superior en longitud a 255, se abreviarán
- esos 255, y luego se continuará con una nueva abreviación de los restantes.
+Este algoritmo se aplica a la salida del
+\series bold
+MTF
+\series default
+ que, gracias al
+\series bold
+BS
+\series default
+ que aumenta la localidad, genera estadísticamente muchas secuencias de
+ ceros repetidos.
+ Como el Huffman Estático no aprovecha esta característica (comprime igual
+
+\family typewriter
+000001234
+\family default
+ que
+\family typewriter
+010203040
+\family default
+), se buscó un método que sí la explote para optimizar el compresor y se
+ llegó a un algoritmo muy simple que bautizamos
+\series bold
+Zero Grouping
+\series default
+.
\layout Standard
-En base a las pruebas realizadas, en la mayoría de los casos tanto en archivos
- de texto como en binarios, se observa una leve mejora en los niveles de
- compresión (bpb), utilizando esta opción en la invocación del compresor.
-\layout Subsection
-
-Word Escaping
+Cada secuencia de ceros se codifica con 2 bytes, el primero es siempre 0
+ (
+\family typewriter
+0x00
+\family default
+) y el segundo indica la cantidad de ceros que le siguen.
+ En el caso de haber un byte de valor cero aislado, también se codifica
+ con 2 bytes (
+\family typewriter
+0x00 0x00
+\family default
+, que indica que viene un cero y luego de ese cero no viene ningún cero
+ más), expandiendo la salida, pero estos son casos aislados que estadísticamente
+ se ven superados por la cantidad de secuencias largas de ceros que son
+ comprimidas a sólo 2 bytes.
+ Además, la salida del
+\series bold
+ZG
+\series default
+ (Zero Grouping) es comprimida con Huffman por lo que en casos extremos
+ la expansión no se manifiesta en forma notoria.
\layout Standard
-Esta optimización se ha realizado especificamente para mejorar la compresión
- de archivos de texto.
- La base de esta técnica es la previa confección de un diccionario de palabras
- (en nuestro caso 255 palabras máximo), a través del cual aplicando un pre-proce
-samiento al archivo a comprimir, reemplazamos las palabras de ese diccionario
- que se encuentren en el archivo, por un código de escape sucedido por el
- indice en el diccionario de la palabra que se abrevia.
+Como la cantidad de ceros que le siguen al primero en una secuencia es expresada
+ con un byte, sólo se pueden comprimir a 2 bytes secuencias de hasta 256
+ ceros (el primer cero más los 0-255 siguientes).
+ De haber secuencias con mayor cantidad de ceros, simplemente se generan
+
+\family typewriter
+N
+\family default
+
+\emph on
+grupos
+\emph default
+ (siendo
+\family typewriter
+N
+\family default
+ la cantidad de ceros en la secuencia dividido 256, redondeando hacia arriba)
+ de 2 bytes cada uno.
+ Por ejemplo, una secuencia de 257 ceros será expresada como
+\family typewriter
+0x00 0xFF 0x00 0x00
+\family default
+ (2 grupos) y una de 525 como
+\family typewriter
+0x00 0xFF 0x00 0xFF 0x00 0x0B
+\family default
+ (3 grupos).
+ Nuevamente, se comprobó estadísticamente que las secuencias de ceros rara
+ vez superan los 50 ceros seguidos, por lo que de utilizar más de un byte
+ para expresar la cantidad de ceros que siguen al primero se obtendrían
+ peores resultados.
\layout Standard
-Es decir, si tenemos el siguiente diccionario de 4 palabras: ¨padre¨, ¨él¨,
- ¨nos¨, ¨superman¨, y poseemos el texto: ¨El padre de superman es el hombre
- araña¨, luego del preprocesamiento tendremos: ¨El [escape char][
-\backslash
-0x00] de [escapechar] [
-\backslash
-0x03] es el hombre araña¨.
-\layout Standard
+Con respecto a los tiempos, como se puede observar en el capítulo
+\begin_inset LatexCommand \ref{cha:Benchmarks}
-Para la confección de un buen diccionario, hemos desarollado una utilidad
- que contabiliza las 255 palabras que más aparecen dentro de una fuente
- especificada, y luego del análisis de varios textos en castellano de toda
- índole (informáticos, novelas, noticias), se obtiene el diccionario que
- será entregado con el software.
-\layout Chapter
+\end_inset
-Benchmarks
-\layout Section
+, en muchos casos es incluso más rápido usar el
+\series bold
+ZG
+\series default
+ ya que el
+\series bold
+Huffman
+\series default
+ tiene que comprimir menos y el proceso del
+\series bold
+ZG
+\series default
+ es mucho menor que el del
+\series bold
+Huffman
+\series default
+.
+\layout Subsubsection*
+
+Ejemplo:
+\layout LyX-Code
+
+
+\size scriptsize
+Salida de MTF: 0 0 0 0 0 0 1 5 3 0 0 0 0 12 0 1 0 0 0 0 0 0 0 0 0 1 1
+ 4 0 0 1 0 2
+\layout LyX-Code
+
+
+\size scriptsize
+Salida de ZG: 0 5 1 5 3 0 3 12 0 0 1 0 8 1 1
+ 4 0 1 1 0 0 2
+\layout LyX-Code
+
+
+\size scriptsize
+ |
+ |
+\layout LyX-Code
+
+
+\size scriptsize
+ expandió
+ expandió
+\layout Standard
+
+Como se puede ver, la salida del MTF es de 33 bytes, mientras que la del
+
+\series bold
+ZG
+\series default
+ es de 22 (incluso cuando hubieron expansiones).
+ Como se podrá ver en las pruebas del capítulo
+\begin_inset LatexCommand \ref{cha:Benchmarks}
+
+\end_inset
+
+, en la mayoría de los casos se logra una mejora introduciendo este algoritmo,
+ y en casos extremos esta mejora llega obtener resultados con la mitad de
+ bpb (bits por byte) que la salida original del
+\series bold
+MTF
+\series default
+.
+\layout Subsection
+
+Word-Scaping
+\layout Standard
+
+Esta optimización se ha realizado específicamente para mejorar la compresión
+ de archivos de texto.
+ La base de esta técnica es la previa confección de un diccionario de palabras
+ (en nuestro caso 255 palabras máximo), a través del cual aplicando un pre-proce
+samiento al archivo a comprimir, reemplazamos las palabras de ese diccionario
+ que se encuentren en el archivo, por un código de escape sucedido por el
+ índice en el diccionario de la palabra que se abrevia.
+\layout Standard
+
+Es decir, si tenemos el siguiente diccionario de 4 palabras:
+\family typewriter
+padre
+\family default
+,
+\family typewriter
+él
+\family default
+,
+\family typewriter
+nos
+\family default
+,
+\family typewriter
+superman
+\family default
+; y poseemos el texto:
+\emph on
+
+\begin_inset Quotes eld
+\end_inset
+
+El
+\family typewriter
+padre
+\family default
+ de
+\family typewriter
+superman
+\family default
+ es el hombre araña
+\begin_inset Quotes erd
+\end_inset
+
+
+\emph default
+, luego del pre-procesamiento tendremos:
+\emph on
+
+\begin_inset Quotes eld
+\end_inset
+
+El
+\family typewriter
+[escape][
+\backslash
+0x00]
+\family default
+ de
+\family typewriter
+[escape][
+\backslash
+0x03]
+\family default
+ es el hombre araña
+\begin_inset Quotes erd
+\end_inset
+
+
+\emph default
+.
+\layout Standard
-Prueba Calgary
+Para la confección de un buen diccionario, hemos desarrollado una utilidad
+ que contabiliza las 255 palabras que más aparecen dentro de una fuente
+ especificada, y luego del análisis de varios textos en castellano de toda
+ índole (informáticos, novelas, noticias), se obtiene el diccionario que
+ será entregado con el software.
\layout Section
-Archivos de Texto
+Documentación de la API
+\layout Standard
+
+Para obtener una documentación de la API, se incluye en formato HTML en
+ el CD-ROM la documentación generada con Doxygen para los distintos componentes
+ del compresor.
+ Esta documentación se encuentra en el directorio
+\family typewriter
+doc/api/html
+\family default
+.
+\layout Chapter
+
+
+\begin_inset LatexCommand \label{cha:Benchmarks}
+
+\end_inset
+
+Benchmarks
\layout Section
-Archivos Binarios
+Prueba Calgary Corpus
+\layout Standard
+
+El conjunto de prueba Calgary Corpus Test es utilizado internacionalmente
+ para la prueba y comparación de compresores, contando con archivos diseñados
+ específicamente para estos fines.
+ Es por ello que hemos utilizado dicho conjunto y a continuación exponemos
+ los resultados:
+\layout Standard
+
+
+\begin_inset Float table
+placement H
+wide false
+collapsed false
+
+\layout Caption
+
+Comparación de compresores JACU, GZIP y BZIP2 con Test de Calgary Corpus,
+ utilizando un microprocesador Athlon XP 1.7+ Thunderbird con 256 MB RAM.
+ La compresión JACU se realiza con página default de 32 Kbytes.
+\layout Standard
+\align center
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="19" columns="7">
+<features>
+<column alignment="center" valignment="top" leftline="true" width="0">
+<column alignment="center" valignment="top" leftline="true" width="0">
+<column alignment="center" valignment="top" leftline="true" width="0">
+<column alignment="center" valignment="top" leftline="true" width="0">
+<column alignment="center" valignment="top" leftline="true" width="0">
+<column alignment="center" valignment="top" leftline="true" width="0">
+<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
+<row topline="true" bottomline="true">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold
+Filename
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold
+JACU (c)
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold
+GZIP (c)
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold
+BZIP2 (c)
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold
+JACU (t)
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold
+GZIP (t)
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold
+BZIP2 (t)
+\end_inset
+</cell>
+</row>
+<row topline="true">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+bib
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.8618
+\size footnotesize
+bpb
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.5211
+\size footnotesize
+bpb
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+1.975
+\size footnotesize
+bpb
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.834
+\size footnotesize
+s
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.052
+\size footnotesize
+s
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.079
+\size footnotesize
+s
+\end_inset
+</cell>
+</row>
+<row topline="true">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+book1
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.3535
+\size footnotesize
+bpb
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.4531
+\size footnotesize
+bpb
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.420
+\size footnotesize
+bpb
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+5.339
+\size footnotesize
+s
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.205
+\size footnotesize
+s
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.508
+\size footnotesize
+s
+\end_inset
+</cell>
+</row>
+<row topline="true">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+book2
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.9374
+\size footnotesize
+bpb
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.7068
+\size footnotesize
+bpb
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.062
+\size footnotesize
+bpb
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+4.435
+\size footnotesize
+s
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.140
+\size footnotesize
+s
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.387
+\size footnotesize
+s
+\end_inset
+</cell>
+</row>
+<row topline="true">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+geo
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+5.7057
+\size footnotesize
+bpb
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+5.3510
+\size footnotesize
+bpb
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+4.447
+\size footnotesize
+bpb
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.809
+\size footnotesize
+s
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.066
+\size footnotesize
+s
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.082
+\size footnotesize
+s
+\end_inset
+</cell>
+</row>
+<row topline="true">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+news
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