+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 (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: 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).
+ 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
+\series bold
+HUFF_STATE
+\series 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
+\noun on
+HUFF_STATE *shuff_init_encoder_byfile(char *inputfile, char *outputfile,
+ long volsize);
+\layout Itemize
+
+
+\family typewriter
+\noun on
+HUFF_STATE *shuff_init_encoder_bychunk(char *outputfile, long volsize);
+\layout Itemize
+
+
+\family typewriter
+\noun on
+HUFF_STATE *shuff_init_decoder(char *inputfile, char *outputfile);
+\layout Itemize
+
+
+\family typewriter
+\noun on
+void shuff_deinit_encoder(HUFF_STATE *shuff);
+\layout Itemize
+
+
+\family typewriter
+\noun on
+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 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
+
+
+\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
+.
+\layout Subsection
+
+Zero Grouping
+\layout Standard
+
+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
+
+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
+
+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 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 \vref{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
+
+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
+
+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
+
+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
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