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
\layout Subsection
Block Sorting
+\layout Standard
+
+La técnica de Block Sorting
+\begin_inset Foot
+collapsed false
+
+\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 false
+
+\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 false
+
+\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
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: 00001011001000200020101000300010004
+\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).
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
\series bold
HUFF_STATE
\series default
-, en la cual se especificarán cosas tales como si el compresor actua sobre
- archivos o chunks de datos, si es un huffman canonico o standard, archivo
+, 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
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 symbolos
+ 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
, 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 Virtual File, 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 fopen, fclose, fread, etc y reemplazar la estructura
+ FILE por VFILE.
+\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 Section
Prueba Calgary Corpus
\layout Standard
-El set de prueba Calgary Corpus Test es utilizado internacionalmente para
- la prueba y comparación de compresores, contando con archivos diseñados
- especificamente para estos fines.
- Es por ello que hemos utilizado dicho set y a continuación exponemos los
- resultados:
-\layout Paragraph
+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
-Bench 1) JACU vs GZIP vs BZIP2
\layout Standard
-Se prueba el set de Calgary utilizando nuestro compresor, y enfrentandolo
- al GZIP y BZIP2 en términos de tiempo utilizado para la compresion y nivel
- de compresión (Bits per Byte).
- Los resultados a continuación:
+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
+
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+
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+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.387
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+\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
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+\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
+
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+\size footnotesize
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+\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
+
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+
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+\size footnotesize
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+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.228
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+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
+
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+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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+
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+
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+</cell>
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+
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+
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