Cambios minimos, no se si entraran en la impresion :(

[z.facultad/75.06/jacu.git] / doc / InformeTP3.lyx

diff --git a/doc/InformeTP3.lyx b/doc/InformeTP3.lyx
index c8fd5fa2cb0af11317746c29b84e6ffd6ed9467b..4a8d1de347b2c4b3225205df57fc2b66e150bd6a 100644 (file)
--- a/doc/InformeTP3.lyx
+++ b/doc/InformeTP3.lyx
@@ -142,6 +142,66 @@ Word-Scaping
  (Optimización para textos detallada posteriormente)
 \layout Section
 
  (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
 
 Modo de uso
 \layout Standard
 


@@ -159,7 +219,7 @@ Como hemos ancitipado anteriormente, el compresor cuenta con features especiales
  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
  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
 
 
 \layout Standard
 


@@ -228,9 +288,9 @@ La opci
 \family typewriter 
 -t
 \family default 
 \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
 
 
 \layout Subsection
 
 


@@ -241,8 +301,8 @@ La opci
 Opciones adicionales
 \layout Standard
 
 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:
  que veremos más adelante.
  A fines de documentar la totalidad de los flags de ejecución, detallamos
  los anteriores y los adicionales a continuación:


@@ -253,7 +313,7 @@ Ademas de los flags standards que hemos visto reci
 \family typewriter 
 -c
 \family default 
 \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 


@@ -265,8 +325,7 @@ Ademas de los flags standards que hemos visto reci
 \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 
 \family typewriter 
 -c
 \family default 


@@ -298,6 +357,19 @@ Zero Grouping
 \labelwidthstring 00.00.0000
 
 
 \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 
 \family typewriter 
 -s
 \family default 


@@ -340,7 +412,23 @@ Huffman
  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).
  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 Subsubsection*
 
 Ejemplos


@@ -411,9 +499,268 @@ Especificaciones
 \layout Subsection
 
 Block Sorting
 \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
 
 \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
 \layout Subsection
 
 Huffman Estático


@@ -425,11 +772,11 @@ Si bien no ahondaremos en detalles de implementaci
  compresor.
  Antes, es necesario comentar que el estado del compresor, se mantiene a
  través de una estructura definida como 
  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
 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
 
  a comprimir, archivo destino, etc.
 \layout Paragraph
 


@@ -465,57 +812,174 @@ void shuff_deinit_encoder(HUFF_STATE *shuff);
 void shuff_deinit_decoder(HUFF_STATE *shuff);
 \layout Standard
 
 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 


@@ -535,20 +999,101 @@ BS
 \series default 
  que aumenta la localidad, genera estadísticamente muchas secuencias de
  ceros repetidos.
 \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
  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.
  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:
 \layout Subsubsection*
 
 Ejemplo:


@@ -585,11 +1130,11 @@ ZG
 \series default 
  es de 22 (incluso cuando hubieron expansiones).
  Como se podrá ver en las pruebas del capítulo 
 \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 
 
 
 \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 
  y en casos extremos esta mejora llega obtener resultados con la mitad de
  bpb (bits por byte) que la salida original del 
 \series bold 


@@ -701,11 +1246,5085 @@ doc/api/html
 Benchmarks
 \layout Section
 
 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">
+<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
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.3889 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.0726 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.516 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.961
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.080
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.228
+\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
+
+obj1
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+4.7653 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.8404 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+4.013 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.668
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.004
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.046
+\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
+
+obj2
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.0978 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.6459 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.478 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.172
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.060
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.143
+\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
+
+paper1
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.0767 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.7955 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.492 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.422
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.010
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.030
+\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
+
+paper2
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.0966 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.8957 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.437 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.629
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.015
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.062
+\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
+
+paper3
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.3064 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.1117 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.723 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.364
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.040
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.047
+\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
+
+paper4
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.8952 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.3334 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.124 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.116
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.003
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.038
+\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
+
+paper5
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+4.0455 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.3428 
+\size footnotesize 
+bpb
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-Archivos de Texto
-\layout Section

 
 

-Archivos Binarios

 \the_end
 \the_end