(Optimización para textos detallada posteriormente)
\layout Section
+Compilación
+\layout Standard
+
+Para compilar es necesario el programa
+\family typewriter
+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 su descripción, notamos la invocación general para comprimir
y descomprimir un archivo como se pidió en el enunciado
\begin_inset Foot
-collapsed true
+collapsed false
\layout Standard
\family typewriter
-t
\family default
- pcional que permite generar un archivo comprimido multivolumen, donde volsize
- será el tamaño en kbytes de cada volúmen, excepto el último que podrá ser
- menor.
+ 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
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:
\family typewriter
-c
\family default
- Indica que se desea comprimir un archivo (mutualmente exclusivo con
+ Indica que se desea comprimir un archivo (mutuamente exclusivo con
\family typewriter
-d
\family default
\family typewriter
-d
\family default
- Indica que se desea descomprimir un archivo (mutualmente exclusivo con
-
+ Indica que se desea descomprimir un archivo (mutuamente exclusivo con
\family typewriter
-c
\family default
\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
+
+
\family typewriter
-s
\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.
+ 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 Subsection
Block Sorting
+\layout Standard
+
+La técnica de Block Sorting
+\begin_inset Foot
+collapsed true
+
+\layout Standard
+
+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
+
+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
+
+ 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
+
+\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
+
+ 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
+
+ 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
+
+, 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
+
+Para solucionar el problema del consumo de memoria se plateó un esquema
+ como el que se indica a continuación :
+\layout LyX-Code
+
+
+\layout LyX-Code
+
+
+\size small
+ +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
+\layout LyX-Code
+
+
+\size small
+Dato | | | | | | | | | | | | | | | | | | | | | | | | | |
+\layout LyX-Code
+
+
+\size small
+ +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
+\layout LyX-Code
+
+
+\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
+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
compresor.
Antes, es necesario comentar que el estado del compresor, se mantiene a
través de una estructura definida como
-\series bold
+\family typewriter
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
+\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
void shuff_deinit_decoder(HUFF_STATE *shuff);
\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 llevar a cabo la compresión efectiva de un archivo o chunks de datos,
+ se cuentan con las siguientes rutinas:
+\layout Itemize
-\begin_inset LatexCommand \label{sec:Features-Especiales}
+\family typewriter
+int shuff_encode_file(HUFF_STATE *shuff);
+\layout Itemize
-\end_inset
-Optimizaciones y Características adicionales
-\layout Standard
+\family typewriter
+int shuff_decode_file(HUFF_STATE *shuff);
+\layout Itemize
-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
+\family typewriter
+int shuff_scanfreq_chunk(HUFF_STATE *shuff, char* chunk, int chunksize);
+\layout Itemize
-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,
- en vez de generar un modelo diferente para cada archivo que comprime.
-\layout Standard
+\family typewriter
+int shuff_decode_chunk(HUFF_STATE *shuff, char *chunk, int chunksize, int
+ *decodedbytes);
+\layout Paragraph
-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 sección
-\series bold
-
-\begin_inset LatexCommand \ref{sub:Execution-Flags}
+Operación sobre archivos o chunks
+\layout Paragraph
-\end_inset
+
+\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,
+ en vez de generar un modelo diferente para cada archivo que comprime.
+\layout Standard
+
+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 sección
+\series bold
+
+\begin_inset LatexCommand \ref{sub:Execution-Flags}
+
+\end_inset
\series default
\series default
que aumenta la localidad, genera estadísticamente muchas secuencias de
ceros repetidos.
- El algoritmo es muy simple, cada secuencia de ceros se codifica con 2 bytes,
- el primero es siempre 0 (0x00) y el segundo indica la cantidad de ceros
- que le siguen.
+ 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
+
+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 (0x00 0x00, 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.
+ 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
+
+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
+
+Con respecto a los tiempos, como se puede observar en el capítulo
+\begin_inset LatexCommand \ref{cha:Benchmarks}
+
+\end_inset
+
+, 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:
\series default
es de 22 (incluso cuando hubieron expansiones).
Como se podrá ver en las pruebas del capítulo
-\begin_inset LatexCommand \vref{cha:Benchmarks}
+\begin_inset LatexCommand \ref{cha:Benchmarks}
\end_inset
-, en la mayoría de los casos se logra una mejora introduciendo este algoritmos,
+, 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
Benchmarks
\layout Section
-Prueba Calgary
-\layout Section
+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">
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-Archivos de Texto
-\layout Section
-Archivos Binarios
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projects / z.facultad / 75.06 / jacu.git / blobdiff