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Ingy döt Net 2023-07-01 11:58:00 -04:00
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---
from: http://rosettacode.org/wiki/Move-to-front_algorithm

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Given a symbol table of a ''zero-indexed'' array of all possible input symbols
[[wp:Move-to-front transform|this algorithm]] reversibly transforms a sequence
of input symbols into an array of output numbers (indices).
The transform in many cases acts to give frequently repeated input symbols
lower indices which is [[wp:Move-to-front_transform#Use_in_practical_data_compression_algorithms| useful in some compression algorithms]].
;Encoding algorithm:
<pre>
for each symbol of the input sequence:
output the index of the symbol in the symbol table
move that symbol to the front of the symbol table
</pre>
;Decoding algorithm:
<pre>
# Using the same starting symbol table
for each index of the input sequence:
output the symbol at that index of the symbol table
move that symbol to the front of the symbol table
</pre>
;Example:
Encoding the string of character symbols 'broood' using a symbol table of the lowercase characters &nbsp; '''a'''-to-'''z'''
:::::{| class="wikitable" border="1"
|-
! Input
! Output
! SymbolTable
|-
| '''b'''roood
| 1
| 'abcdefghijklmnopqrstuvwxyz'
|-
| b'''r'''oood
| 1 17
| 'bacdefghijklmnopqrstuvwxyz'
|-
| br'''o'''ood
| 1 17 15
| 'rbacdefghijklmnopqstuvwxyz'
|-
| bro'''o'''od
| 1 17 15 0
| 'orbacdefghijklmnpqstuvwxyz'
|-
| broo'''o'''d
| 1 17 15 0 0
| 'orbacdefghijklmnpqstuvwxyz'
|-
| brooo'''d'''
| 1 17 15 0 0 5
| 'orbacdefghijklmnpqstuvwxyz'
|}
Decoding the indices back to the original symbol order:
:::::{| class="wikitable" border="1"
|-
! Input
! Output
! SymbolTable
|-
| '''1''' 17 15 0 0 5
| b
| 'abcdefghijklmnopqrstuvwxyz'
|-
| 1 '''17''' 15 0 0 5
| br
| 'bacdefghijklmnopqrstuvwxyz'
|-
| 1 17 '''15''' 0 0 5
| bro
| 'rbacdefghijklmnopqstuvwxyz'
|-
| 1 17 15 '''0''' 0 5
| broo
| 'orbacdefghijklmnpqstuvwxyz'
|-
| 1 17 15 0 '''0''' 5
| brooo
| 'orbacdefghijklmnpqstuvwxyz'
|-
| 1 17 15 0 0 '''5'''
| broood
| 'orbacdefghijklmnpqstuvwxyz'
|}
;Task:
:* &nbsp; Encode and decode the following three strings of characters using the symbol table of the lowercase characters &nbsp; '''a'''-to-'''z''' &nbsp; as above.
:* &nbsp; Show the strings and their encoding here.
:* &nbsp; Add a check to ensure that the decoded string is the same as the original.
<br>
The strings are:
<big> broood </big>
<big> bananaaa </big>
<big> hiphophiphop </big>
<small>(Note the misspellings in the above strings.)</small>
<br><br>

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V symboltable = Array(a..z)
F move2front_encode(strng)
[Int] sequence
V pad = copy(:symboltable)
L(char) strng
V indx = pad.index(char)
sequence.append(indx)
pad = [pad.pop(indx)] [+] pad
R sequence
F move2front_decode(sequence)
[Char] chars
V pad = copy(:symboltable)
L(indx) sequence
V char = pad[indx]
chars.append(char)
pad = [pad.pop(indx)] [+] pad
R chars.join()
L(s) [broood, bananaaa, hiphophiphop]
V encode = move2front_encode(s)
print(#14 encodes to #..format(s, encode), end' , )
V decode = move2front_decode(encode)
print(which decodes back to #..format(decode))
assert(s == decode, Whoops!)

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# move the character at text pos to the front of text #
# note text pos is based from 0 #
PROC move to front = ( STRING text, INT text pos )STRING:
IF text pos < 1
THEN
# the character is already at the front (or not in the string) #
text
ELSE
# the character isn't already at the front - construct the new string #
INT char pos = LWB text + text pos;
( text[ char pos : char pos ]
+ text[ : char pos - 1 ]
+ text[ char pos + 1 : ]
)
FI;
# encode the string "text", using "initial table" as the starting symbol table#
PROC encode = ( STRING text, STRING initial table )[]INT:
BEGIN
[ 1 : ( UPB text - LWB text ) + 1 ]INT result;
STRING symbol table := initial table;
FOR text pos FROM LWB text TO UPB text
DO
INT symbol pos := 0;
result[ text pos ]
:= IF char in string( text[ text pos ], symbol pos, symbol table )
THEN
# the character is in the symbol table at symbol pos #
# (indexed from LWB text) - we store the positions #
# indexed from 0 #
symbol pos - LWB text
ELSE
# the character isn't in the symbol table #
-1
FI;
# modify the symbol table so the latest character is at the front #
symbol table := move to front( symbol table, result[ text pos ] )
OD;
result
END; # encode #
# decode "encoded", using "initial table" as the starting symbol table #
PROC decode = ( []INT encoded, STRING initial table )STRING:
BEGIN
STRING result := "";
STRING symbol table := initial table;
FOR text pos FROM LWB encoded TO UPB encoded
DO
result
+:= IF encoded[ text pos ] < 0
THEN
# the encoded character wasn't in the string #
"?"
ELSE
# the character is in the symbol table #
symbol table[ encoded[ text pos ] + LWB symbol table ]
FI;
# modify the symbol table so the latest character is at the front #
symbol table := move to front( symbol table, encoded[ text pos ] )
OD;
result
END; # decode #
# routine to test the encode and decode routines #
PROC test encode and decode = ( STRING text )VOID:
BEGIN
# initial value for the symbol table #
[]CHAR initial table = "abcdefghijklmnopqrstuvwxyz";
# procedure to format the encoded value #
PROC format encoded value = ( []INT values )STRING:
BEGIN
STRING result := "";
FOR value pos FROM LWB values TO UPB values
DO
result +:= ( " " + whole( values[ value pos ], 0 ) )
OD;
result
END; # format encoded value #
[]INT encoded = encode( text, initial table );
STRING decoded = decode( encoded, initial table );
print( ( ( text
+ " encodes to ["
+ format encoded value( encoded )
+ " ] which "
+ IF text = decoded
THEN
"correctly"
ELSE
"INCORRECTLY"
FI
+ " decodes to """
+ decoded
+ """"
)
, newline
)
)
END; # test encode and decode #
main: (
test encode and decode( "broood" )
; test encode and decode( "bananaaa" )
; test encode and decode( "hiphophiphop" )
# ; test encode and decode( "abcdefghijklmnopqrstuvwxyz" ) #
# ; test encode and decode( "zyxwvutsrqponmlkjihgfedcba" ) #
)

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DEFINE SYMBOL_TABLE_SIZE="26"
PROC InitSymbolTable(BYTE ARRAY table BYTE len)
BYTE i
FOR i=0 TO len-1
DO
table(i)=i+'a
OD
RETURN
BYTE FUNC Find(BYTE ARRAY table BYTE len,c)
BYTE i
FOR i=0 TO len-1
DO
IF table(i)=c THEN
RETURN (i)
FI
OD
Break()
RETURN (0)
PROC MoveToFront(BYTE ARRAY table BYTE len,pos)
BYTE sym
sym=table(pos)
WHILE pos>0
DO
table(pos)=table(pos-1)
pos==-1
OD
table(pos)=sym
RETURN
PROC Encode(CHAR ARRAY in BYTE ARRAY out BYTE POINTER outLen)
BYTE ARRAY table(SYMBOL_TABLE_SIZE)
BYTE i,pos
outLen^=0
InitSymbolTable(table,SYMBOL_TABLE_SIZE)
FOR i=1 TO in(0)
DO
pos=Find(table,SYMBOL_TABLE_SIZE,in(i))
out(outLen^)=pos
outLen^==+1
MoveToFront(table,SYMBOL_TABLE_SIZE,pos)
OD
RETURN
PROC Decode(BYTE ARRAY in BYTE inLen CHAR ARRAY out)
BYTE ARRAY table(SYMBOL_TABLE_SIZE)
BYTE i,pos,len
len=0
InitSymbolTable(table,SYMBOL_TABLE_SIZE)
FOR i=0 TO inLen-1
DO
pos=in(i)
len==+1
out(len)=table(pos)
MoveToFront(table,SYMBOL_TABLE_SIZE,pos)
OD
out(0)=len
RETURN
PROC Test(CHAR ARRAY s)
BYTE ARRAY encoded(255)
CHAR ARRAY decoded(256)
BYTE encodedLength,i
Print("Source: ")
PrintE(s)
Encode(s,encoded,@encodedLength)
Print("Encoded: ")
FOR i=0 TO encodedLength-1
DO
PrintB(encoded(i)) Put(32)
OD
PutE()
Decode(encoded,encodedLength,decoded)
Print("Decoded: ")
PrintE(decoded)
IF SCompare(s,decoded)=0 THEN
PrintE("Decoded is equal to the source.")
ELSE
PrintE("Decoded is different from the source!")
FI
PutE()
RETURN
PROC Main()
Test("broood")
Test("bananaaa")
Test("hiphophiphop")
RETURN

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with Ada.Text_IO;
procedure Move_To_Front is
subtype Lower_Case is Character range 'a' .. 'z';
subtype Index is Integer range 0 .. 25;
type Table is array (Index) of Lower_Case;
Alphabet: constant Table := "abcdefghijklmnopqrstuvwxyz";
type Number_String is array(Positive range <>) of Natural;
function Encode(S: String) return Number_String is
Key: Table := Alphabet;
function Encode(S: String; Tab: in out Table) return Number_String is
procedure Look_Up(A: in out Table; Ch: Lower_Case; Pos: out Index) is
begin
for I in A'Range loop
if A(I) = Ch then
Pos := I;
A := A(Pos) & A(A'First .. Pos-1) & A(Pos+1 .. A'Last);
return;
end if;
end loop;
raise Program_Error with "unknown character";
end Look_Up;
Empty: Number_String(1 .. 0);
Result: Natural;
begin
if S'Length = 0 then
return Empty;
else
Look_Up(Tab, S(S'First), Result);
return Result & Encode(S(S'First+1 .. S'Last), Tab);
end if;
end Encode;
begin
return Encode(S, Key);
end Encode;
function Decode(N: Number_String) return String is
Key: Table := Alphabet;
function Decode(N: Number_String; Tab: in out Table) return String is
procedure Look_Up(A: in out Table; Pos: Index; Ch: out Lower_Case) is
begin
Ch := A(Pos);
A := A(Pos) & A(A'First .. Pos-1) & A(Pos+1 .. A'Last);
end Look_Up;
Result: String(N'Range);
begin
for I in N'Range loop
Look_Up(Tab, N(I), Result(I));
end loop;
return Result;
end Decode;
begin
return Decode(N, Key);
end Decode;
procedure Encode_Write_Check(S: String) is
N: Number_String := Encode(S);
T: String := Decode(N);
Check: String := (if S=T then "Correct!" else "*WRONG*!");
begin
Ada.Text_IO.Put("'" & S & "' encodes to");
for Num of N loop
Ada.Text_IO.Put(Integer'Image(Num));
end loop;
Ada.Text_IO.Put_Line(". This decodes to '" & T & "'. " & Check);
end Encode_Write_Check;
begin
Encode_Write_Check("broood");
Encode_Write_Check("bananaaa");
Encode_Write_Check("hiphophiphop");
end Move_To_Front;

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decode(list l)
{
integer c, e;
data al, s;
al = "abcdefghijklmnopqrstuvwxyz";
for (, e in l) {
s.append(c = al[e]);
al.delete(e).insert(0, c);
}
s;
}
encode(data s)
{
integer c, e;
data al;
list l;
al = "abcdefghijklmnopqrstuvwxyz";
for (, c in s) {
l.append(e = al.place(c));
al.delete(e).insert(0, c);
}
l;
}
main(void)
{
for (, text s in list("broood", "bananaaa", "hiphophiphop")) {
list l;
l = encode(s);
l.ucall(o_, 1, " ");
o_(": ", decode(l), "\n");
}
0;
}

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symbolTable: @`a`..`z`
encodeWord: function [s][
symt: new symbolTable
result: []
loop s 'c [
idx: index symt c
'result ++ idx
symt: (rotate symt\[0..idx] 1) ++ symt\[(idx+1)..dec size symt]
]
return result
]
decodeWord: function [s][
symt: new symbolTable
result: []
loop s 'idx [
'result ++ symt\[idx]
symt: (rotate symt\[0..idx] 1) ++ symt\[(idx+1)..dec size symt]
]
return join result
]
loop ["broood", "babanaaa", "hiphophiphop"] 'word [
encoded: encodeWord word
decoded: decodeWord encoded
print ["'"++word++"'" "encodes to" encoded "which correctly decodes to" "'"++decoded++"'"]
]

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MTF_Encode(string){
str := "abcdefghijklmnopqrstuvwxyz"
loop, parse, string
code .= (A_Index>1 ? ",":"") . InStr(str, A_LoopField) - 1 , str := A_LoopField . StrReplace(str, A_LoopField)
return code
}
MTF_Decode(code){
str := "abcdefghijklmnopqrstuvwxyz"
loop, parse, code, `,
string .= (letter := SubStr(str, A_LoopField+1, 1)) , str := letter . StrReplace(str, letter)
return string
}

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testStrings = broood,bananaaa,hiphophiphop
loop, parse, testStrings, `,
Output .= A_LoopField "`t" MTF_Encode(A_LoopField) "`t" MTF_Decode(MTF_Encode(A_LoopField)) "`n"
MsgBox % Output
return

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( encode
= string symboltable
. !arg:(?string.?symboltable)
& vap
$ ( (
= A Z i
. !symboltable:?A [?i !arg ?Z
& !arg !A !Z:?symboltable
& !i
)
. !string
)
)
& ( decode
= indices symboltable
. !arg:(?indices.?symboltable)
& str
$ ( map
$ ( (
= A Z symbol
. !symboltable:?A [!arg %?symbol ?Z
& !symbol !A !Z:?symboltable
& !symbol
)
. !indices
)
)
)
& ( test
= string symboltable encoded decoded
. !arg:(?string.?symboltable)
& put$str$("input:" !string ", ")
& encode$(!string.!symboltable):?encoded
& put$("encoded:" !encoded ", ")
& decode$(!encoded.!symboltable):?decoded
& put$str$("decoded:" !decoded ", ")
& ( !string:!decoded
& out$OK
| out$WRONG
)
)
& a b c d e f g h i j k l m n o p q r s t y v w x y z
: ?symboltable
& test$(broood.!symboltable)
& test$(bananaaa.!symboltable)
& test$(hiphophiphop.!symboltable)

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#include <iostream>
#include <iterator>
#include <sstream>
#include <vector>
using namespace std;
class MTF
{
public:
string encode( string str )
{
fillSymbolTable();
vector<int> output;
for( string::iterator it = str.begin(); it != str.end(); it++ )
{
for( int i = 0; i < 26; i++ )
{
if( *it == symbolTable[i] )
{
output.push_back( i );
moveToFront( i );
break;
}
}
}
string r;
for( vector<int>::iterator it = output.begin(); it != output.end(); it++ )
{
ostringstream ss;
ss << *it;
r += ss.str() + " ";
}
return r;
}
string decode( string str )
{
fillSymbolTable();
istringstream iss( str ); vector<int> output;
copy( istream_iterator<int>( iss ), istream_iterator<int>(), back_inserter<vector<int> >( output ) );
string r;
for( vector<int>::iterator it = output.begin(); it != output.end(); it++ )
{
r.append( 1, symbolTable[*it] );
moveToFront( *it );
}
return r;
}
private:
void moveToFront( int i )
{
char t = symbolTable[i];
for( int z = i - 1; z >= 0; z-- )
symbolTable[z + 1] = symbolTable[z];
symbolTable[0] = t;
}
void fillSymbolTable()
{
for( int x = 0; x < 26; x++ )
symbolTable[x] = x + 'a';
}
char symbolTable[26];
};
int main()
{
MTF mtf;
string a, str[] = { "broood", "bananaaa", "hiphophiphop" };
for( int x = 0; x < 3; x++ )
{
a = str[x];
cout << a << " -> encoded = ";
a = mtf.encode( a );
cout << a << "; decoded = " << mtf.decode( a ) << endl;
}
return 0;
}

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using System;
using System.Collections.Generic;
using System.Text;
namespace MoveToFront
{
class Program
{
private static char[] symbolTable;
private static void setSymbolTable()
{
symbolTable = "abcdefghijklmnopqrstuvwxyz".ToCharArray();
}
private static void moveToFront(int charIndex)
{
char toFront = symbolTable[charIndex];
for (int j = charIndex; j > 0; j--)
{
symbolTable[j] = symbolTable[j - 1];
}
symbolTable[0] = toFront;
}
public static int[] Encode(string input)
{
setSymbolTable();
var output = new List<int>();
foreach (char c in input)
{
for (int i = 0; i < 26; i++)
{
if (symbolTable[i] == c)
{
output.Add(i);
moveToFront(i);
break;
}
}
}
return output.ToArray();
}
public static string Decode(int[] input)
{
setSymbolTable();
var output = new StringBuilder(input.Length);
foreach (int n in input)
{
output.Append(symbolTable[n]);
moveToFront(n);
}
return output.ToString();
}
static void Main(string[] args)
{
string[] testInputs = new string[] { "broood", "bananaaa", "hiphophiphop" };
int[] encoding;
foreach (string s in testInputs)
{
Console.WriteLine($"Encoding for '{s}':");
encoding = Encode(s);
foreach (int i in encoding)
{
Console.Write($"{i} ");
}
Console.WriteLine($"\nDecoding for '{s}':");
Console.WriteLine($"{Decode(encoding)}\n");
}
}
}
}

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#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#define MAX_SIZE 100
int move_to_front(char *str,char c)
{
char *q,*p;
int shift=0;
p=(char *)malloc(strlen(str)+1);
strcpy(p,str);
q=strchr(p,c); //returns pointer to location of char c in string str
shift=q-p; // no of characters from 0 to position of c in str
strncpy(str+1,p,shift);
str[0]=c;
free(p);
// printf("\n%s\n",str);
return shift;
}
void decode(int* pass,int size,char *sym)
{
int i,index;
char c;
char table[]="abcdefghijklmnopqrstuvwxyz";
for(i=0;i<size;i++)
{
c=table[pass[i]];
index=move_to_front(table,c);
if(pass[i]!=index) printf("there is an error");
sym[i]=c;
}
sym[size]='\0';
}
void encode(char *sym,int size,int *pass)
{
int i=0;
char c;
char table[]="abcdefghijklmnopqrstuvwxyz";
for(i=0;i<size;i++)
{
c=sym[i];
pass[i]=move_to_front(table,c);
}
}
int check(char *sym,int size,int *pass)
{
int *pass2=malloc(sizeof(int)*size);
char *sym2=malloc(sizeof(char)*size);
int i,val=1;
encode(sym,size,pass2);
i=0;
while(i<size && pass[i]==pass2[i])i++;
if(i!=size)val=0;
decode(pass,size,sym2);
if(strcmp(sym,sym2)!=0)val=0;
free(sym2);
free(pass2);
return val;
}
int main()
{
char sym[3][MAX_SIZE]={"broood","bananaaa","hiphophiphop"};
int pass[MAX_SIZE]={0};
int i,len,j;
for(i=0;i<3;i++)
{
len=strlen(sym[i]);
encode(sym[i],len,pass);
printf("%s : [",sym[i]);
for(j=0;j<len;j++)
printf("%d ",pass[j]);
printf("]\n");
if(check(sym[i],len,pass))
printf("Correct :)\n");
else
printf("Incorrect :(\n");
}
return 0;
}

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(def lowercase (map char (range (int \a) (inc (int \z)))))
(defn move-to-front [x xs]
(cons x (remove #{x} xs)))
(defn encode [text table & {:keys [acc] :or {acc []}}]
(let [c (first text)
idx (.indexOf table c)]
(if (empty? text) acc (recur (drop 1 text) (move-to-front c table) {:acc (conj acc idx)}))))
(defn decode [indices table & {:keys [acc] :or {acc []}}]
(if (empty? indices) (apply str acc)
(let [n (first indices)
c (nth table n)]
(recur (drop 1 indices) (move-to-front c table) {:acc (conj acc c)}))))
(doseq [word ["broood" "bananaaa" "hiphophiphop"]]
(let [encoded (encode word lowercase)
decoded (decode encoded lowercase)]
(println (format "%s encodes to %s which decodes back to %s."
word encoded decoded))))

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(defconstant +lower+ (coerce "abcdefghijklmnopqrstuvwxyz" 'list))
(defun move-to-front (x xs)
(cons x (remove x xs)))
(defun enc (text table)
(map 'list
(lambda (c)
(let ((idx (position c table)))
(setf table (move-to-front c table))
idx))
text))
(defun dec (indices table)
(coerce (mapcar (lambda (idx)
(let ((c (nth idx table)))
(setf table (move-to-front c table))
c))
indices)
'string))
(loop for word in '("broood" "bananaaa" "hiphophiphop")
do (let* ((encoded (enc word +lower+))
(decoded (dec encoded +lower+)))
(assert (string= word decoded))
(format T "~s encodes to ~a which decodes back to ~s.~%"
word encoded decoded)))

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import std.stdio, std.string, std.ascii, std.algorithm;
ptrdiff_t[] mtfEncoder(in string data) pure nothrow @safe
in {
assert(data.countchars("a-z") == data.length);
} out(result) {
assert(result.length == data.length);
assert(result.all!(e => e >= 0 && e < lowercase.length));
} body {
ubyte[lowercase.length] order = lowercase.representation;
auto encoded = new typeof(return)(data.length);
size_t i = 0;
foreach (immutable b; data) {
immutable j = encoded[i++] = order[].countUntil(b);
bringToFront(order[0 .. j], order[j .. j + 1]);
}
return encoded;
}
string mtfDecoder(in ptrdiff_t[] encoded) pure nothrow @safe
in {
assert(encoded.all!(e => e >= 0 && e < lowercase.length));
} out(result) {
assert(result.length == encoded.length);
assert(result.countchars("a-z") == result.length);
} body {
ubyte[lowercase.length] order = lowercase.representation;
auto decoded = new char[encoded.length];
size_t i = 0;
foreach (immutable code; encoded) {
decoded[i++] = order[code];
bringToFront(order[0 .. code], order[code .. code + 1]);
}
return decoded;
}
void main() {
foreach (immutable word; ["broood", "bananaaa", "hiphophiphop"]) {
immutable encoded = word.mtfEncoder;
immutable decoded = encoded.mtfDecoder;
writefln("'%s' encodes to %s, which decodes back to '%s'",
word, encoded, decoded);
assert(word == decoded);
}
}

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defmodule MoveToFront do
@table Enum.to_list(?a..?z)
def encode(text), do: encode(to_char_list(text), @table, [])
defp encode([], _, output), do: Enum.reverse(output)
defp encode([h|t], table, output) do
i = Enum.find_index(table, &(&1 == h))
encode(t, move2front(table, i), [i | output])
end
def decode(indices), do: decode(indices, @table, [])
defp decode([], _, output), do: Enum.reverse(output) |> to_string
defp decode([h|t], table, output) do
decode(t, move2front(table, h), [Enum.at(table, h) | output])
end
def move2front(table, i), do: [Enum.at(table,i) | List.delete_at(table, i)]
end
Enum.each(["broood", "bananaaa", "hiphophiphop"], fn word ->
IO.inspect word
IO.inspect enc = MoveToFront.encode(word)
IO.puts "#{word == MoveToFront.decode(enc)}\n"
end)

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// Move-to-front algorithm . Nigel Galloway: March 1st., 2021
let fN g=List.permute(fun n->match compare n g with 0->0 |1->n |_->n+1)
let decode n=let rec fG n g=[|match n with n::t->yield List.item n g; yield! fG t (fN n g)|_->()|] in fG n ['a'..'z']|>System.String
let encode n=let rec fG n g=[match n with n::t->let n=g|>List.findIndex((=)n) in yield n; yield! fG t (fN n g)|_->()]
fG ((string n).ToCharArray()|>List.ofArray) ['a'..'z']
["broood";"bananaaa";"hiphophiphop"]|>List.iter(fun n->let i=encode n in let g=decode i in printfn "%s->%A->%s check=%A" n i g (n=g))

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@ -0,0 +1,18 @@
USING: formatting kernel locals make sequences ;
: to-front ( elt seq -- seq' ) over [ remove ] dip prefix ;
: encode ( symbols msg -- indices )
[ [ swap 2dup index , to-front ] each ] { } make nip ;
: decode ( symbols indices -- msg )
[ [ swap [ nth ] keep over , to-front ] each ] "" make nip ;
:: round-trip ( msg symbols -- )
symbols msg encode :> encoded
symbols encoded decode :> decoded
msg decoded assert=
msg encoded decoded "%s -> %u -> %s\n" printf ;
"broood" "bananaaa" "hiphophiphop"
[ "abcdefghijklmnopqrstuvwxyz" round-trip ] tri@

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#define FAIL -1
sub mtf( s() as string, i as uinteger )
'moves the symbol at index i to the front and shifts preceding ones back
dim as string*1 t = s(i)
for j as uinteger = i to 1 step -1
s(j) = s(j-1)
next j
s(0)=t
end sub
sub make_symbols( s() as string )
'populates an array of strings with the lowercase alphabet
for i as uinteger = 97 to 122
s(i-97) = chr(i)
next i
end sub
function find( s() as string, l as string ) as integer
'returns the index of the first occurrence of the symbol l in s()
for i as uinteger = 0 to ubound(s)
if s(i) = l then return i
next i
return FAIL
end function
sub encode( s() as string, ind() as uinteger )
dim as integer n = ubound(s), i
redim as uinteger ind(0 to n)
dim as string a(0 to 25)
make_symbols(a())
for z as uinteger = 0 to n
i = find( a(), s(z) )
if i = FAIL then
print "Uh oh! Couldn't find ";s(z);" in alphabet."
end
end if
mtf( a(), i )
ind(z) = i
next z
end sub
sub decode( s() as string, ind() as uinteger )
dim as integer n = ubound(ind), i
redim as string s(0 to n)
dim as string a(0 to 25)
make_symbols(a())
for z as uinteger = 0 to n
s(z) = a(ind(z))
mtf(a(), ind(z))
next z
end sub
sub printarr( s() as string )
for i as uinteger = 0 to ubound(s)
print s(i);
next i
print
end sub
sub printind( ind() as integer )
for i as uinteger = 0 to ubound(ind)
print ind(i);" ";
next i
print
end sub
sub compose( s() as string, b as string )
'turns a string into a zero-indexed array of single letters
'The reason we use such arrays is to get them zero-indexed
'and to make the point that we could work with multi-char
'symbol tables if we wanted to
dim as integer n = len(b), i
redim as string s(0 to n-1)
for i = 0 to n-1
s(i) = mid(b, 1+i, 1)
next i
end sub
'-----------now the tests-------------
redim as string s(0)
redim as integer ind(0)
compose( s(), "broood" )
encode( s(), ind() )
printind( ind() )
decode( s(), ind() )
printarr( s() ) : print
compose( s(), "bananaaa" )
encode( s(), ind() )
printind( ind() )
decode( s(), ind() )
printarr( s() ) : print
compose( s(), "hiphophiphop" )
encode( s(), ind() )
printind( ind() )
decode( s(), ind() )
printarr( s() )

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Public Sub Main()
Dim sToCode As String[] = ["broood", "bananaaa", "hiphophiphop"] 'Samples to process
Dim sHold As New String[] 'To store results
Dim siCount, siCounter, siPos As Short 'Various variables
Dim sOutput, sCode, sWork, sEach As String 'Various variables
For siCounter = 0 To sToCode.Max 'To loop through each 'Sample'
sCode = "abcdefghijklmnopqrstuvwxyz" 'Set sCode to default setting
For siCount = 1 To Len(sToCode[siCounter]) 'Loop through each letter in 'Sample'
sWork = Mid(sToCode[siCounter], siCount, 1) 'sWork to store the Letter
siPos = InStr(scode, sWork) - 1 'Find the position of the letter in sCode, -1 for '0' based array
sOutput &= Str(siPos) & " " 'Add the postion to sOutput
sCode = Mid(sCode, siPos + 1, 1) & Replace(sCode, sWork, "") 'sCode = the letter + the rest of sCode except the letter
Next
Print sToCode[siCounter] & " = " & sOutput 'Print the 'Sample' and the coded version
sHold.Add(Trim(sOutput)) 'Add the code to the sHold array
sOutput = "" 'Clear sOutput
Next
Print 'Print a blank line
For siCounter = 0 To sHold.Max 'To loop through each coded 'Sample'
sCode = "abcdefghijklmnopqrstuvwxyz" 'Set sCode to default setting
For Each sEach In Split(sHold[siCounter], " ") 'For each 'code' in coded 'Sample'
sWork = Mid(sCode, Val(sEach) + 1, 1) 'sWork = the decoded letter
sOutput &= sWork 'Add the decoded letter to sOutput
sCode = sWork & Replace(sCode, sWork, "") 'sCode = the decoded letter + the rest of sCode except the letter
Next
Print sHold[siCounter] & " = " & sOutput 'Print the coded and decoded result
sOutput = "" 'Clear sOutput
Next
End

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package main
import (
"bytes"
"fmt"
)
type symbolTable string
func (symbols symbolTable) encode(s string) []byte {
seq := make([]byte, len(s))
pad := []byte(symbols)
for i, c := range []byte(s) {
x := bytes.IndexByte(pad, c)
seq[i] = byte(x)
copy(pad[1:], pad[:x])
pad[0] = c
}
return seq
}
func (symbols symbolTable) decode(seq []byte) string {
chars := make([]byte, len(seq))
pad := []byte(symbols)
for i, x := range seq {
c := pad[x]
chars[i] = c
copy(pad[1:], pad[:x])
pad[0] = c
}
return string(chars)
}
func main() {
m := symbolTable("abcdefghijklmnopqrstuvwxyz")
for _, s := range []string{"broood", "bananaaa", "hiphophiphop"} {
enc := m.encode(s)
dec := m.decode(enc)
fmt.Println(s, enc, dec)
if dec != s {
panic("Whoops!")
}
}
}

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@ -0,0 +1,25 @@
import Data.List (delete, elemIndex, mapAccumL)
import Data.Maybe (fromJust)
table :: String
table = ['a' .. 'z']
encode :: String -> [Int]
encode =
let f t s = (s : delete s t, fromJust (elemIndex s t))
in snd . mapAccumL f table
decode :: [Int] -> String
decode = snd . mapAccumL f table
where
f t i =
let s = (t !! i)
in (s : delete s t, s)
main :: IO ()
main =
mapM_ print $
(,) <*> uncurry ((==) . fst) <$> -- Test that ((fst . fst) x) == snd x)
((,) <*> (decode . snd) <$>
((,) <*> encode <$> ["broood", "bananaaa", "hiphophiphop"]))

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procedure main(A)
every writes(s := !A, " -> [") do {
every writes(!(enc := encode(&lcase,s))," ")
writes("] -> ",s2 := decode(&lcase,enc))
write((s == s2, " (Correct)") | " (Incorrect)")
}
end
procedure encode(m,s)
enc := []
every c := !s do {
m ?:= reorder(tab(i := upto(c)),move(1),tab(0))
put(enc,i-1) # Strings are 1-based
}
return enc
end
procedure decode(m,enc)
dec := ""
every i := 1 + !enc do { # Lists are 1-based
dec ||:= m[i]
m ?:= reorder(tab(i),move(1),tab(0))
}
return dec
end
procedure reorder(s1,s2,s3)
return s2||s1||s3
end

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@ -0,0 +1,21 @@
spindizzy=:3 :0
'seq table'=. y
ndx=.$0
orig=. table
for_sym. seq do.
ndx=.ndx,table i.sym
table=. sym,table-.sym
end.
ndx
assert. seq-:yzzidnips ndx;orig
)
yzzidnips=:3 :0
'ndx table'=. y
seq=.''
for_n. ndx do.
seq=.seq,sym=. n{table
table=. sym,table-.sym
end.
seq
)

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@ -0,0 +1,6 @@
spindizzy 'broood';'abcdefghijklmnopqrstuvwxyz'
1 17 15 0 0 5
spindizzy 'bananaaa';'abcdefghijklmnopqrstuvwxyz'
1 1 13 1 1 1 0 0
spindizzy 'hiphophiphop';'abcdefghijklmnopqrstuvwxyz'
7 8 15 2 15 2 2 3 2 2 3 2

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@ -0,0 +1,40 @@
import java.util.LinkedList;
import java.util.List;
public class MTF{
public static List<Integer> encode(String msg, String symTable){
List<Integer> output = new LinkedList<Integer>();
StringBuilder s = new StringBuilder(symTable);
for(char c : msg.toCharArray()){
int idx = s.indexOf("" + c);
output.add(idx);
s = s.deleteCharAt(idx).insert(0, c);
}
return output;
}
public static String decode(List<Integer> idxs, String symTable){
StringBuilder output = new StringBuilder();
StringBuilder s = new StringBuilder(symTable);
for(int idx : idxs){
char c = s.charAt(idx);
output = output.append(c);
s = s.deleteCharAt(idx).insert(0, c);
}
return output.toString();
}
private static void test(String toEncode, String symTable){
List<Integer> encoded = encode(toEncode, symTable);
System.out.println(toEncode + ": " + encoded);
String decoded = decode(encoded, symTable);
System.out.println((toEncode.equals(decoded) ? "" : "in") + "correctly decoded to " + decoded);
}
public static void main(String[] args){
String symTable = "abcdefghijklmnopqrstuvwxyz";
test("broood", symTable);
test("bananaaa", symTable);
test("hiphophiphop", symTable);
}
}

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@ -0,0 +1,31 @@
var encodeMTF = function (word) {
var init = {wordAsNumbers: [], charList: 'abcdefghijklmnopqrstuvwxyz'.split('')};
return word.split('').reduce(function (acc, char) {
var charNum = acc.charList.indexOf(char); //get index of char
acc.wordAsNumbers.push(charNum); //add original index to acc
acc.charList.unshift(acc.charList.splice(charNum, 1)[0]); //put at beginning of list
return acc;
}, init).wordAsNumbers; //return number list
};
var decodeMTF = function (numList) {
var init = {word: '', charList: 'abcdefghijklmnopqrstuvwxyz'.split('')};
return numList.reduce(function (acc, num) {
acc.word += acc.charList[num];
acc.charList.unshift(acc.charList.splice(num, 1)[0]); //put at beginning of list
return acc;
}, init).word;
};
//test our algorithms
var words = ['broood', 'bananaaa', 'hiphophiphop'];
var encoded = words.map(encodeMTF);
var decoded = encoded.map(decodeMTF);
//print results
console.log("from encoded:");
console.log(encoded);
console.log("from decoded:");
console.log(decoded);

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@ -0,0 +1,19 @@
# Input is the string to be encoded, st is the initial symbol table (an array)
# Output: the encoded string (an array)
def m2f_encode(st):
reduce explode[] as $ch
( [ [], st]; # state: [ans, st]
(.[1]|index($ch)) as $ix
| .[1] as $st
| [ (.[0] + [ $ix ]), [$st[$ix]] + $st[0:$ix] + $st[$ix+1:] ] )
| .[0];
# Input should be the encoded string (an array)
# and st should be the initial symbol table (an array)
def m2f_decode(st):
reduce .[] as $ix
( [ [], st]; # state: [ans, st]
.[1] as $st
| [ (.[0] + [ $st[$ix] ]), [$st[$ix]] + $st[0:$ix] + $st[$ix+1:] ] )
| .[0]
| implode;

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@ -0,0 +1,9 @@
("abcdefghijklmnopqrstuvwxyz" | explode) as $ST
| ("broood", "bananaaa", "hiphophiphop")
| . as $string
| m2f_encode($ST)
| . as $encoded
| m2f_decode($ST) as $decoded
| if $string == $decoded then "\($string) => \($encoded) => \($decoded)"
else "INTERNAL ERROR: encoding of \($string) => \($encoded) => \($decoded)"
end

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@ -0,0 +1,4 @@
$ jq -r -n -f move_to_front.jq
broood => [1,17,15,0,0,5] => broood
bananaaa => [1,1,13,1,1,1,0,0] => bananaaa
hiphophiphop => [7,8,15,2,15,2,2,3,2,2,3,2] => hiphophiphop

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@ -0,0 +1,33 @@
function encodeMTF(str::AbstractString, symtable::Vector{Char}=collect('a':'z'))
function encode(ch::Char)
r = findfirst(symtable, ch)
deleteat!(symtable, r)
prepend!(symtable, ch)
return r
end
collect(encode(ch) for ch in str)
end
function decodeMTF(arr::Vector{Int}, symtable::Vector{Char}=collect('a':'z'))
function decode(i::Int)
r = symtable[i]
deleteat!(symtable, i)
prepend!(symtable, r)
return r
end
join(decode(i) for i in arr)
end
testset = ["broood", "bananaaa", "hiphophiphop"]
encoded = encodeMTF.(testset)
decoded = decodeMTF.(encoded)
for (str, enc, dec) in zip(testset, encoded, decoded)
println("Test string: $str\n -> Encoded: $enc\n -> Decoded: $dec")
end
using Base.Test
@testset "Decoded string equal to original" begin
for (str, dec) in zip(testset, decoded)
@test str == dec
end
end

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@ -0,0 +1,48 @@
// version 1.1.2
fun encode(s: String): IntArray {
if (s.isEmpty()) return intArrayOf()
val symbols = "abcdefghijklmnopqrstuvwxyz".toCharArray()
val result = IntArray(s.length)
for ((i, c) in s.withIndex()) {
val index = symbols.indexOf(c)
if (index == -1)
throw IllegalArgumentException("$s contains a non-alphabetic character")
result[i] = index
if (index == 0) continue
for (j in index - 1 downTo 0) symbols[j + 1] = symbols[j]
symbols[0] = c
}
return result
}
fun decode(a: IntArray): String {
if (a.isEmpty()) return ""
val symbols = "abcdefghijklmnopqrstuvwxyz".toCharArray()
val result = CharArray(a.size)
for ((i, n) in a.withIndex()) {
if (n !in 0..25)
throw IllegalArgumentException("${a.contentToString()} contains an invalid number")
result[i] = symbols[n]
if (n == 0) continue
for (j in n - 1 downTo 0) symbols[j + 1] = symbols[j]
symbols[0] = result[i]
}
return result.joinToString("")
}
fun main(args: Array<String>) {
val strings = arrayOf("broood", "bananaaa", "hiphophiphop")
val encoded = Array<IntArray?>(strings.size) { null }
for ((i, s) in strings.withIndex()) {
encoded[i] = encode(s)
println("${s.padEnd(12)} -> ${encoded[i]!!.contentToString()}")
}
println()
val decoded = Array<String?>(encoded.size) { null }
for ((i, a) in encoded.withIndex()) {
decoded[i] = decode(a!!)
print("${a.contentToString().padEnd(38)} -> ${decoded[i]!!.padEnd(12)}")
println(" -> ${if (decoded[i] == strings[i]) "correct" else "incorrect"}")
}
}

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@ -0,0 +1,46 @@
-- Return table of the alphabet in lower case
function getAlphabet ()
local letters = {}
for ascii = 97, 122 do table.insert(letters, string.char(ascii)) end
return letters
end
-- Move the table value at ind to the front of tab
function moveToFront (tab, ind)
local toMove = tab[ind]
for i = ind - 1, 1, -1 do tab[i + 1] = tab[i] end
tab[1] = toMove
end
-- Perform move-to-front encoding on input
function encode (input)
local symbolTable, output, index = getAlphabet(), {}
for pos = 1, #input do
for k, v in pairs(symbolTable) do
if v == input:sub(pos, pos) then index = k end
end
moveToFront(symbolTable, index)
table.insert(output, index - 1)
end
return table.concat(output, " ")
end
-- Perform move-to-front decoding on input
function decode (input)
local symbolTable, output = getAlphabet(), ""
for num in input:gmatch("%d+") do
output = output .. symbolTable[num + 1]
moveToFront(symbolTable, num + 1)
end
return output
end
-- Main procedure
local testCases, output = {"broood", "bananaaa", "hiphophiphop"}
for _, case in pairs(testCases) do
output = encode(case)
print("Original string: " .. case)
print("Encoded: " .. output)
print("Decoded: " .. decode(output))
print()
end

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Module CheckIt {
Global All$, nl$
\\ upgrade to document
Document All$
Nl$<={
}
Function Encode$(Inp$) {
Def SymbolTable$="abcdefghijklmnopqrstuvwxyz", Out$=""
For i=1 to Len(Inp$)
c$=Mid$(Inp$, i, 1)
k=Instr(SymbolTable$, c$)
Insert k, 1 SymbolTable$=""
Out$=If$(Out$="" -> Quote$(k-1),Quote$(Param(Out$), k-1))
Insert 1 SymbolTable$=c$
\\ we use <= for globals
All$<=Format$(" {0} {1:30} {2}", c$, Out$, SymbolTable$)+nl$
Next i
=Out$
}
Function Decode$(Inp$) {
Def SymbolTable$="abcdefghijklmnopqrstuvwxyz", Out$=""
flush
Data Param(Inp$)
While not empty {
k=Number+1
c$=Mid$(SymbolTable$, k, 1)
Out$+=c$
Insert k, 1 SymbolTable$="" ' erase at position k
Insert 1 SymbolTable$=c$
All$<=Format$("{0::-2} {1} {2:30} {3}", k-1, c$, Out$, SymbolTable$)+nl$
}
=Out$
}
TryThis("broood")
TryThis("bananaaa")
TryThis("hiphophiphop")
ClipBoard All$
Sub TryThis(a$)
Local Out$=Encode$(a$)
Local final$=Decode$(Out$)
Print final$, final$=a$
End Sub
}
CheckIt

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@ -0,0 +1,30 @@
function testMTF
symTable = 'abcdefghijklmnopqrstuvwxyz';
inStr = {'broood' 'bananaaa' 'hiphophiphop'};
for k = 1:length(inStr)
outArr = encodeMTF(inStr{k}, symTable);
outStr = decodeMTF(outArr, symTable);
fprintf('%s: [ %s]\n', inStr{k}, sprintf('%d ', outArr))
fprintf('%scorrectly decoded to %s\n', char('in'.*~strcmp(outStr, inStr{k})), outStr)
end
end
function arr = encodeMTF(str, symTable)
n = length(str);
arr = zeros(1, n);
for k = 1:n
arr(k) = find(str(k) == symTable, 1);
symTable = [symTable(arr(k)) symTable(1:arr(k)-1) symTable(arr(k)+1:end)];
end
arr = arr-1; % Change to zero-indexed array
end
function str = decodeMTF(arr, symTable)
arr = arr+1; % Change to one-indexed array
n = length(arr);
str = char(zeros(1, n));
for k = 1:n
str(k) = symTable(arr(k));
symTable = [symTable(arr(k)) symTable(1:arr(k)-1) symTable(arr(k)+1:end)];
end
end

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@ -0,0 +1,8 @@
mtf[word_]:=Module[{f,f2,p,q},
f[{output_,symList_},next_]:=Module[{index},index=Position[symList,next][[1,1]]-1;
{output~Append~index,Prepend[Delete[symList,index+1],next]}];
p=Fold[f,{{},CharacterRange["a","z"]},Characters[ToString[word]]][[1]];
f2[{output_,symList_},next_]:=Module[{index},index=symList[[next+1]];
{output~Append~index,Prepend[DeleteCases[symList,ToString[index]],index]}];
q=Fold[f2,{{},CharacterRange["a","z"]},p][[1]];
Print["'", word,"' encodes to: ",p, " - " ,p," decodes to: '",StringJoin@q,"' - Input equals Output: " ,word===StringJoin@q];]

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@ -0,0 +1 @@
mtf /@ {"broood", "bananaaa", "hiphophiphop"}

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@ -0,0 +1,22 @@
import algorithm, sequtils, strformat
const SymbolTable = toSeq('a'..'z')
func encode(s: string): seq[int] =
var symtable: seq[char] = SymbolTable
for c in s:
let idx = symtable.find(c)
result.add idx
symtable.rotateLeft(0..idx, -1)
func decode(s: seq[int]): string =
var symtable = SymbolTable
for idx in s:
result.add symtable[idx]
symtable.rotateLeft(0..idx, -1)
for word in ["broood", "babanaaa", "hiphophiphop"]:
let encoded = word.encode()
let decoded = encoded.decode()
let status = if decoded == word: "correctly" else: "incorrectly"
echo &"'{word}' encodes to {encoded} which {status} decodes to '{decoded}'."

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@ -0,0 +1,44 @@
<?php
function symbolTable() {
$symbol = array();
for ($c = ord('a') ; $c <= ord('z') ; $c++) {
$symbol[$c - ord('a')] = chr($c);
}
return $symbol;
}
function mtfEncode($original, $symbol) {
$encoded = array();
for ($i = 0 ; $i < strlen($original) ; $i++) {
$char = $original[$i];
$position = array_search($char, $symbol);
$encoded[] = $position;
$mtf = $symbol[$position];
unset($symbol[$position]);
array_unshift($symbol, $mtf);
}
return $encoded;
}
function mtfDecode($encoded, $symbol) {
$decoded = '';
foreach ($encoded AS $position) {
$char = $symbol[$position];
$decoded .= $char;
unset($symbol[$position]);
array_unshift($symbol, $char);
}
return $decoded;
}
foreach (array('broood', 'bananaaa', 'hiphophiphop') AS $original) {
$encoded = mtfEncode($original, symbolTable());
$decoded = mtfDecode($encoded, symbolTable());
echo
$original,
' -> [', implode(',', $encoded), ']',
' -> ', $decoded,
' : ', ($original === $decoded ? 'OK' : 'Error'),
PHP_EOL;
}

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@ -0,0 +1,40 @@
*process source attributes xref or(!);
/*********************************************************************
* 25.5.2014 Walter Pachl translated from REXX
*********************************************************************/
ed: Proc Options(main);
Call enc_dec('broood');
Call enc_dec('bananaaa');
Call enc_dec('hiphophiphop');
enc_dec: Proc(in);
Dcl in Char(*);
Dcl out Char(20) Var Init('');
Dcl st Char(26) Init('abcdefghijklmnopqrstuvwxyz');
Dcl sta Char(26) Init((st));
Dcl enc(20) Bin Fixed(31);
Dcl encn Bin Fixed(31) Init(0);
Dcl (i,p.k) Bin Fixed(31);
Dcl c Char(1);
Do i=1 To length(in);
c=substr(in,i,1);
p=index(st,c);
encn+=1;
enc(encn)=p-1;
st=c!!left(st,p-1)!!substr(st,p+1);
End;
Put Skip List(' in='!!in);
Put Skip List('sta='!!sta!!' original symbol table');
Put Skip Edit('enc=',(enc(i) do i=1 To encn))(a,20(F(3)));
Put Skip List(' st='!!st!!' symbol table after encoding');
Do i=1 To encn;
k=enc(i)+1;
out=out!!substr(sta,k,1);
sta=substr(sta,k,1)!!left(sta,k-1)!!substr(sta,k+1);
End;
Put Skip List('out='!!out);
Put Skip List(' ');
If out=in Then;
Else
Put Skip List('all wrong!!');
End;

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@ -0,0 +1,26 @@
use strict;
use warnings;
sub encode {
my ($str) = @_;
my $table = join '', 'a' .. 'z';
map {
$table =~ s/(.*?)$_/$_$1/ or die;
length($1);
} split //, $str;
}
sub decode {
my $table = join '', 'a' .. 'z';
join "", map {
$table =~ s/(.{$_})(.)/$2$1/ or die;
$2;
} @_;
}
for my $test ( qw(broood bananaaa hiphophiphop) ) {
my @encoded = encode($test);
print "$test: @encoded\n";
my $decoded = decode(@encoded);
print "in" x ( $decoded ne $test );
print "correctly decoded to $decoded\n";
}

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@ -0,0 +1,42 @@
(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">encode</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">symtab</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"abcdefghijklmnopqrstuvwxyz"</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">ch</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ch</span><span style="color: #0000FF;">,</span><span style="color: #000000;">symtab</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span>
<span style="color: #000080;font-style:italic;">-- for j=k to 2 by -1 do
-- symtab[j] = symtab[j-1]
-- end for
-- symtab[1] = ch</span>
<span style="color: #000000;">symtab</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..</span><span style="color: #000000;">k</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">ch</span><span style="color: #0000FF;">&</span><span style="color: #000000;">symtab</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..</span><span style="color: #000000;">k</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">decode</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">symtab</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"abcdefghijklmnopqrstuvwxyz"</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]+</span><span style="color: #000000;">1</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">ch</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">symtab</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">ch</span>
<span style="color: #000080;font-style:italic;">-- for j=k to 2 by -1 do
-- symtab[j] = symtab[j-1]
-- end for
-- symtab[1] = ch</span>
<span style="color: #000000;">symtab</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..</span><span style="color: #000000;">k</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">ch</span><span style="color: #0000FF;">&</span><span style="color: #000000;">symtab</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..</span><span style="color: #000000;">k</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">test</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">e</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">encode</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">d</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">decode</span><span style="color: #0000FF;">(</span><span style="color: #000000;">e</span><span style="color: #0000FF;">)</span>
<span style="color: #0000FF;">?{</span><span style="color: #000000;">s</span><span style="color: #0000FF;">,</span><span style="color: #000000;">e</span><span style="color: #0000FF;">,</span><span style="color: #000000;">d</span><span style="color: #0000FF;">,{</span><span style="color: #008000;">"**ERROR**"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"ok"</span><span style="color: #0000FF;">}[(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">=</span><span style="color: #000000;">d</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #000000;">test</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"broood"</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">test</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"bananaaa"</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">test</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"hiphophiphop"</span><span style="color: #0000FF;">)</span>
<!--

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@ -0,0 +1,43 @@
import util.
go =>
Strings = ["broood", "bananaaa", "hiphophiphop"],
foreach(String in Strings)
check(String)
end,
nl.
% adjustments to 1-based index
encode(String) = [Pos,Table] =>
Table = "abcdefghijklmnopqrstuvwxyz",
Pos = [],
Len = String.length,
foreach({C,I} in zip(String,1..Len))
Pos := Pos ++ [find_first_of(Table,C)-1],
if Len > I then
Table := [C] ++ delete(Table,C)
end
end.
decode(Pos) = String =>
Table = "abcdefghijklmnopqrstuvwxyz",
String = [],
foreach(P in Pos)
C = Table[P+1],
Table := [C] ++ delete(Table,C),
String := String ++ [C]
end.
% Check the result
check(String) =>
[Pos,Table] = encode(String),
String2 = decode(Pos),
if length(String) < 100 then
println(pos=Pos),
println(table=Table),
println(string2=String2)
else
printf("String is too long to print (%d chars)\n", length(String))
end,
println(cond(String != String2, "not ", "") ++ "same"),
nl.

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@ -0,0 +1,19 @@
(de encode (Str)
(let Table (chop "abcdefghijklmnopqrstuvwxyz")
(mapcar
'((C)
(dec
(prog1
(index C Table)
(rot Table @) ) ) )
(chop Str) ) ) )
(de decode (Lst)
(let Table (chop "abcdefghijklmnopqrstuvwxyz")
(pack
(mapcar
'((N)
(prog1
(get Table (inc 'N))
(rot Table N) ) )
Lst ) ) ) )

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@ -0,0 +1,14 @@
(test (1 17 15 0 0 5)
(encode "broood") )
(test "broood"
(decode (1 17 15 0 0 5)) )
(test (1 1 13 1 1 1 0 0)
(encode "bananaaa") )
(test "bananaaa"
(decode (1 1 13 1 1 1 0 0)) )
(test (7 8 15 2 15 2 2 3 2 2 3 2)
(encode "hiphophiphop") )
(test "hiphophiphop"
(decode (7 8 15 2 15 2 2 3 2 2 3 2)) )

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@ -0,0 +1,75 @@
Function Test-MTF
{
[CmdletBinding()]
Param
(
[Parameter(Mandatory=$true,Position=0)]
[string]$word,
[Parameter(Mandatory=$false)]
[string]$SymbolTable = 'abcdefghijklmnopqrstuvwxyz'
)
Begin
{
Function Encode
{
Param
(
[Parameter(Mandatory=$true,Position=0)]
[string]$word,
[Parameter(Mandatory=$false)]
[string]$SymbolTable = 'abcdefghijklmnopqrstuvwxyz'
)
foreach ($letter in $word.ToCharArray())
{
$index = $SymbolTable.IndexOf($letter)
$prop = [ordered]@{
Input = $letter
Output = [int]$index
SymbolTable = $SymbolTable
}
New-Object PSobject -Property $prop
$SymbolTable = $SymbolTable.Remove($index,1).Insert(0,$letter)
}
}
Function Decode
{
Param
(
[Parameter(Mandatory=$true,Position=0)]
[int[]]$index,
[Parameter(Mandatory=$false)]
[string]$SymbolTable = 'abcdefghijklmnopqrstuvwxyz'
)
foreach ($i in $index)
{
#Write-host $i -ForegroundColor Red
$letter = $SymbolTable.Chars($i)
$prop = [ordered]@{
Input = $i
Output = $letter
SymbolTable = $SymbolTable
}
New-Object PSObject -Property $prop
$SymbolTable = $SymbolTable.Remove($i,1).Insert(0,$letter)
}
}
}
Process
{
#Encoding
Write-Host "Encoding $word" -NoNewline
$Encoded = (Encode -word $word).output
Write-Host -NoNewline ": $($Encoded -join ',')"
#Decoding
Write-Host "`nDecoding $($Encoded -join ',')" -NoNewline
$Decoded = (Decode -index $Encoded).output -join ''
Write-Host -NoNewline ": $Decoded`n"
}
End{}
}

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@ -0,0 +1,28 @@
from __future__ import print_function
from string import ascii_lowercase
SYMBOLTABLE = list(ascii_lowercase)
def move2front_encode(strng, symboltable):
sequence, pad = [], symboltable[::]
for char in strng:
indx = pad.index(char)
sequence.append(indx)
pad = [pad.pop(indx)] + pad
return sequence
def move2front_decode(sequence, symboltable):
chars, pad = [], symboltable[::]
for indx in sequence:
char = pad[indx]
chars.append(char)
pad = [pad.pop(indx)] + pad
return ''.join(chars)
if __name__ == '__main__':
for s in ['broood', 'bananaaa', 'hiphophiphop']:
encode = move2front_encode(s, SYMBOLTABLE)
print('%14r encodes to %r' % (s, encode), end=', ')
decode = move2front_decode(encode, SYMBOLTABLE)
print('which decodes back to %r' % decode)
assert s == decode, 'Whoops!'

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@ -0,0 +1,13 @@
def m2f_e(s, st):
return [[st.index(ch), st.insert(0, st.pop(st.index(ch)))][0] for ch in s]
def m2f_d(sq, st):
return ''.join([st[i], st.insert(0, st.pop(i))][0] for i in sq)
ST = list('abcdefghijklmnopqrstuvwxyz')
for s in ['broood', 'bananaaa', 'hiphophiphop']:
encode = m2f_e(s, ST[::])
print('%14r encodes to %r' % (s, encode), end=', ')
decode = m2f_d(encode, ST[::])
print('decodes back to %r' % decode)
assert s == decode, 'Whoops!'

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@ -0,0 +1,35 @@
[ []
26 times
[ char a i^ +
join ] ] constant is symbols ( --> $ )
[ [] symbols rot
witheach
[ over find
tuck pluck
swap join
dip join ]
drop ] is encode ( $ --> [ )
[ $ "" symbols rot
witheach
[ pluck
dup rot join
dip join ]
drop ] is decode ( [ --> $ )
[ dup echo$
say " --> "
dup encode
dup echo
say " --> "
decode
dup echo$
= iff
[ say " :-)" ]
else
[ say " :-(" ]
cr cr ] is task ( $ --> )
$ "broood bananaaa hiphophiphop"
nest$ witheach task

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@ -0,0 +1,35 @@
/* REXX ***************************************************************
* 25.05.2014 Walter Pachl
* REXX strings start with position 1
**********************************************************************/
Call enc_dec 'broood'
Call enc_dec 'bananaaa'
Call enc_dec 'hiphophiphop'
Exit
enc_dec: Procedure
Parse Arg in
st='abcdefghijklmnopqrstuvwxyz'
sta=st /* remember this for decoding */
enc=''
Do i=1 To length(in)
c=substr(in,i,1)
p=pos(c,st)
enc=enc (p-1)
st=c||left(st,p-1)substr(st,p+1)
End
Say ' in='in
Say 'sta='sta 'original symbol table'
Say 'enc='enc
Say ' st='st 'symbol table after encoding'
out=''
Do i=1 To words(enc)
k=word(enc,i)+1
out=out||substr(sta,k,1)
sta=substr(sta,k,1)left(sta,k-1)substr(sta,k+1)
End
Say 'out='out
Say ' '
If out==in Then Nop
Else
Say 'all wrong!!'
Return

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@ -0,0 +1,17 @@
/*REXX program demonstrates the move─to─front algorithm encode/decode symbol table. */
parse arg xxx; if xxx='' then xxx= 'broood bananaaa hiphophiphop' /*use the default?*/
one= 1 /*(offset) for this task's requirement.*/
do j=1 for words(xxx); x= word(xxx, j) /*process a single word at a time. */
@= 'abcdefghijklmnopqrstuvwxyz'; @@= @ /*symbol table: the lowercase alphabet */
$= /*set the decode string to a null. */
do k=1 for length(x); z= substr(x, k, 1) /*encrypt a symbol in the word. */
_= pos(z, @); if _==0 then iterate /*the symbol position in symbol table. */
$= $ (_ - one); @= z || delstr(@, _, 1) /*(re─)adjust the symbol table string. */
end /*k*/ /* [↑] the move─to─front encoding. */
!= /*set the encode string to a null. */
do m=1 for words($); n= word($, m) + one /*decode the sequence table string. */
y= substr(@@, n, 1); != ! || y /*the decode symbol for the N word.*/
@@= y || delstr(@@, n, 1) /*rebuild the symbol table string. */
end /*m*/ /* [↑] the move─to─front decoding. */
say ' word: ' left(x, 20) "encoding:" left($, 35) word('wrong OK', 1 + (!==x) )
end /*j*/ /*stick a fork in it, we're all done. */

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@ -0,0 +1,45 @@
#lang racket
(define default-symtab "abcdefghijklmnopqrstuvwxyz")
(define (move-to-front:encode in (symtab default-symtab))
(define inner-encode
(match-lambda**
[((? string? (app string->list in)) st acc) ; make input all listy
(inner-encode in st acc)]
[(in (? string? (app string->list st)) acc) ; make symtab all listy
(inner-encode in st acc)]
[((list) _ (app reverse rv)) ; nothing more to encode
rv]
[((list a tail ...) (list left ... a right ...) acc) ; encode and recur
(inner-encode tail `(,a ,@left ,@right) (cons (length left) acc))]))
(inner-encode in symtab null))
(define (move-to-front:decode in (symtab default-symtab))
(define inner-decode
(match-lambda**
[(in (? string? (app string->list st)) acc) ; make symtab all listy
(inner-decode in st acc)]
[((list) _ (app (compose list->string reverse) rv)) ; nothing more to encode
rv]
[((list a tail ...) symbols acc) ; decode and recur
(match/values
(split-at symbols a)
[(l (cons ra rd))
(inner-decode tail (cons ra (append l rd)) (cons ra acc))])]))
(inner-decode in symtab null))
(module+ test
;; Test against the example in the task
(require rackunit)
(check-equal? (move-to-front:encode "broood") '(1 17 15 0 0 5))
(check-equal? (move-to-front:decode '(1 17 15 0 0 5)) "broood")
(check-equal? (move-to-front:decode (move-to-front:encode "broood")) "broood"))
(module+ main
(define (encode+decode-string str)
(define enc (move-to-front:encode str))
(define dec (move-to-front:decode enc))
(define crt (if (equal? dec str) "correctly" "incorrectly"))
(printf "~s encodes to ~s, which decodes ~s to ~s.~%" str enc crt dec))
(for-each encode+decode-string '("broood" "bananaaa" "hiphophiphop")))

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@ -0,0 +1,23 @@
sub encode ( Str $word ) {
my @sym = 'a' .. 'z';
gather for $word.comb -> $c {
die "Symbol '$c' not found in @sym" if $c eq @sym.none;
@sym[0 .. take (@sym ... $c).end] .= rotate(-1);
}
}
sub decode ( @enc ) {
my @sym = 'a' .. 'z';
[~] gather for @enc -> $pos {
take @sym[$pos];
@sym[0..$pos] .= rotate(-1);
}
}
use Test;
plan 3;
for <broood bananaaa hiphophiphop> -> $word {
my $enc = encode($word);
my $dec = decode($enc);
is $word, $dec, "$word.fmt('%-12s') ($enc[])";
}

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@ -0,0 +1,39 @@
# Project : Move-to-front algorithm
test("broood")
test("bananaaa")
test("hiphophiphop")
func encode(s)
symtab = "abcdefghijklmnopqrstuvwxyz"
res = ""
for i=1 to len(s)
ch = s[i]
k = substr(symtab, ch)
res = res + " " + (k-1)
for j=k to 2 step -1
symtab[j] = symtab[j-1]
next
symtab[1] = ch
next
return res
func decode(s)
s = str2list( substr(s, " ", nl) )
symtab = "abcdefghijklmnopqrstuvwxyz"
res = ""
for i=1 to len(s)
k = number(s[i]) + 1
ch = symtab[k]
res = res + " " + ch
for j=k to 2 step -1
symtab[j] = symtab[j-1]
next
symtab[1] = ch
next
return right(res, len(res)-2)
func test(s)
e = encode(s)
d = decode(e)
see "" + s + " => " + "(" + right(e, len(e) - 1) + ") " + " => " + substr(d, " ", "") + nl

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@ -0,0 +1,30 @@
module MoveToFront
ABC = ("a".."z").to_a.freeze
def self.encode(str)
ar = ABC.dup
str.chars.each_with_object([]) do |char, memo|
memo << (i = ar.index(char))
ar = m2f(ar,i)
end
end
def self.decode(indices)
ar = ABC.dup
indices.each_with_object("") do |i, str|
str << ar[i]
ar = m2f(ar,i)
end
end
private
def self.m2f(ar,i)
[ar.delete_at(i)] + ar
end
end
['broood', 'bananaaa', 'hiphophiphop'].each do |word|
p word == MoveToFront.decode(p MoveToFront.encode(p word))
end

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@ -0,0 +1,44 @@
fn main() {
let examples = vec!["broood", "bananaaa", "hiphophiphop"];
for example in examples {
let encoded = encode(example);
let decoded = decode(&encoded);
println!(
"{} encodes to {:?} decodes to {}",
example, encoded, decoded
);
}
}
fn get_symbols() -> Vec<u8> {
(b'a'..b'z').collect()
}
fn encode(input: &str) -> Vec<usize> {
input
.as_bytes()
.iter()
.fold((Vec::new(), get_symbols()), |(mut o, mut s), x| {
let i = s.iter().position(|c| c == x).unwrap();
let c = s.remove(i);
s.insert(0, c);
o.push(i);
(o, s)
})
.0
}
fn decode(input: &[usize]) -> String {
input
.iter()
.fold((Vec::new(), get_symbols()), |(mut o, mut s), x| {
o.push(s[*x]);
let c = s.remove(*x);
s.insert(0, c);
(o, s)
})
.0
.into_iter()
.map(|c| c as char)
.collect()
}

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@ -0,0 +1,97 @@
package rosetta
import scala.annotation.tailrec
object MoveToFront {
/**
* Default radix
*/
private val R = 256
/**
* Default symbol table
*/
private def symbolTable = (0 until R).map(_.toChar).mkString
/**
* Apply move-to-front encoding using default symbol table.
*/
def encode(s: String): List[Int] = {
encode(s, symbolTable)
}
/**
* Apply move-to-front encoding using symbol table <tt>symTable</tt>.
*/
def encode(s: String, symTable: String): List[Int] = {
val table = symTable.toCharArray
@inline @tailrec def moveToFront(ch: Char, index: Int, tmpout: Char): Int = {
val tmpin = table(index)
table(index) = tmpout
if (ch != tmpin)
moveToFront(ch, index + 1, tmpin)
else {
table(0) = ch
index
}
}
@tailrec def encodeString(output: List[Int], s: List[Char]): List[Int] = s match {
case Nil => output
case x :: xs => {
encodeString(moveToFront(x, 0, table(0)) :: output, s.tail)
}
}
encodeString(Nil, s.toList).reverse
}
/**
* Apply move-to-front decoding using default symbol table.
*/
def decode(ints: List[Int]): String = {
decode(ints, symbolTable)
}
/**
* Apply move-to-front decoding using symbol table <tt>symTable</tt>.
*/
def decode(lst: List[Int], symTable: String): String = {
val table = symTable.toCharArray
@inline def moveToFront(c: Char, index: Int) {
for (i <- index-1 to 0 by -1)
table(i+1) = table(i)
table(0) = c
}
@tailrec def decodeList(output: List[Char], lst: List[Int]): List[Char] = lst match {
case Nil => output
case x :: xs => {
val c = table(x)
moveToFront(c, x)
decodeList(c :: output, xs)
}
}
decodeList(Nil, lst).reverse.mkString
}
def test(toEncode: String, symTable: String) {
val encoded = encode(toEncode, symTable)
println(toEncode + ": " + encoded)
val decoded = decode(encoded, symTable)
if (toEncode != decoded)
print("in")
println("correctly decoded to " + decoded)
}
}
/**
* Unit tests the <tt>MoveToFront</tt> data type.
*/
object RosettaCodeMTF extends App {
val symTable = "abcdefghijklmnopqrstuvwxyz"
MoveToFront.test("broood", symTable)
MoveToFront.test("bananaaa", symTable)
MoveToFront.test("hiphophiphop", symTable)
}

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func encode(str) {
var table = ('a'..'z' -> join);
str.chars.map { |c|
var s = '';
table.sub!(Regex('(.*?)' + c), {|s1| s=s1; c + s1});
s.len;
}
}
func decode(nums) {
var table = ('a'..'z' -> join);
nums.map { |n|
var s = '';
table.sub!(Regex('(.{' + n + '})(.)'), {|s1, s2| s=s2; s2 + s1});
s;
}.join;
}
%w(broood bananaaa hiphophiphop).each { |test|
var encoded = encode(test);
say "#{test}: #{encoded}";
var decoded = decode(encoded);
print "in" if (decoded != test);
say "correctly decoded to #{decoded}";
}

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module MoveToFront {
define ABC = @("a".."z")
func m2f(ar,i) {
[ar.delete_index(i)] + ar
}
func encode(str) {
var ar = ABC+[]
gather {
str.each_char { |char|
take(var i = ar.index(char))
ar = m2f(ar, i);
}
}
}
func decode(indices) {
var ar = ABC+[]
gather {
indices.each { |i|
take ar[i];
ar = m2f(ar, i)
}
}.join
}
}
%w(broood bananaaa hiphophiphop).each { |test|
var encoded = MoveToFront::encode(test);
say "#{test}: #{encoded}";
var decoded = MoveToFront::decode(encoded);
print "in" if (decoded != test);
say "correctly decoded to #{decoded}";
}

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var str="broood"
var number:[Int]=[1,17,15,0,0,5]
//function to encode the string
func encode(st:String)->[Int]
{
var array:[Character]=["a","b","c","d","e","f","g","h","i","j","k","l","m","n","o","p","q","r","s","t","u","v","w","x","y","z"]
var num:[Int]=[]
var temp:Character="a"
var i1:Int=0
for i in st.characters
{
for j in 0...25
{
if i==array[j]
{
num.append(j)
temp=array[j]
i1=j
while(i1>0)
{
array[i1]=array[i1-1]
i1=i1-1
}
array[0]=temp
}
}
}
return num
}
func decode(s:[Int])->[Character]
{
var st1:[Character]=[]
var alph:[Character]=["a","b","c","d","e","f","g","h","i","j","k","l","m","n","o","p","q","r","s","t","u","v","w","x","y","z"]
var temp1:Character="a"
var i2:Int=0
for i in 0...s.character.count-1
{
i2=s[i]
st1.append(alph[i2])
temp1=alph[i2]
while(i2>0)
{
alph[i2]=alph[i2-1]
i2=i2-1
}
alph[0]=temp1
}
return st1
}
var encarr:[Int]=encode(st:str)
var decarr:[Character]=decode(s:number)
print(encarr)
print(decarr)

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package require Tcl 8.6
oo::class create MoveToFront {
variable symbolTable
constructor {symbols} {
set symbolTable [split $symbols ""]
}
method MoveToFront {table index} {
list [lindex $table $index] {*}[lreplace $table $index $index]
}
method encode {text} {
set t $symbolTable
set r {}
foreach c [split $text ""] {
set i [lsearch -exact $t $c]
lappend r $i
set t [my MoveToFront $t $i]
}
return $r
}
method decode {numbers} {
set t $symbolTable
set r ""
foreach n $numbers {
append r [lindex $t $n]
set t [my MoveToFront $t $n]
}
return $r
}
}
MoveToFront create mtf "abcdefghijklmnopqrstuvwxyz"
foreach tester {"broood" "bananaaa" "hiphophiphop"} {
set enc [mtf encode $tester]
set dec [mtf decode $enc]
puts [format "'%s' encodes to %s. This decodes to '%s'. %s" \
$tester $enc $dec [expr {$tester eq $dec ? "Correct!" : "WRONG!"}]]
}

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Function mtf_encode(s)
'create the array list and populate it with the initial symbol position
Set symbol_table = CreateObject("System.Collections.ArrayList")
For j = 97 To 122 'a to z in decimal.
symbol_table.Add Chr(j)
Next
output = ""
For i = 1 To Len(s)
char = Mid(s,i,1)
If i = Len(s) Then
output = output & symbol_table.IndexOf(char,0)
symbol_table.RemoveAt(symbol_table.LastIndexOf(char))
symbol_table.Insert 0,char
Else
output = output & symbol_table.IndexOf(char,0) & " "
symbol_table.RemoveAt(symbol_table.LastIndexOf(char))
symbol_table.Insert 0,char
End If
Next
mtf_encode = output
End Function
Function mtf_decode(s)
'break the function argument into an array
code = Split(s," ")
'create the array list and populate it with the initial symbol position
Set symbol_table = CreateObject("System.Collections.ArrayList")
For j = 97 To 122 'a to z in decimal.
symbol_table.Add Chr(j)
Next
output = ""
For i = 0 To UBound(code)
char = symbol_table(code(i))
output = output & char
If code(i) <> 0 Then
symbol_table.RemoveAt(symbol_table.LastIndexOf(char))
symbol_table.Insert 0,char
End If
Next
mtf_decode = output
End Function
'Testing the functions
wordlist = Array("broood","bananaaa","hiphophiphop")
For Each word In wordlist
WScript.StdOut.Write word & " encodes as " & mtf_encode(word) & " and decodes as " &_
mtf_decode(mtf_encode(word)) & "."
WScript.StdOut.WriteBlankLines(1)
Next

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import "/fmt" for Fmt
import "/seq" for Lst
var encode = Fn.new { |s|
if (s.isEmpty) return []
var symbols = "abcdefghijklmnopqrstuvwxyz".toList
var result = List.filled(s.count, 0)
var i = 0
for (c in s) {
var index = Lst.indexOf(symbols, c)
if (index == -1) Fiber.abort("%(s) contains a non-alphabetic character")
result[i] = index
if (index > 0) {
for (j in index-1..0) symbols[j + 1] = symbols[j]
symbols[0] = c
}
i = i + 1
}
return result
}
var decode = Fn.new { |a|
if (a.isEmpty) return ""
var symbols = "abcdefghijklmnopqrstuvwxyz".toList
var result = List.filled(a.count, "")
var i = 0
for (n in a) {
if (n < 0 || n > 25) Fiber.abort("%(a) contains an invalid number")
result[i] = symbols[n]
if (n > 0) {
for (j in n-1..0) symbols[j + 1] = symbols[j]
symbols[0] = result[i]
}
i = i + 1
}
return result.join()
}
var strings = ["broood", "bananaaa", "hiphophiphop"]
var encoded = List.filled(strings.count, null)
var i = 0
for (s in strings) {
encoded[i] = encode.call(s)
Fmt.print("$-12s -> $n", s, encoded[i])
i = i + 1
}
System.print()
var decoded = List.filled(encoded.count, null)
i = 0
for (a in encoded) {
decoded[i] = decode.call(a)
var correct = (decoded[i] == strings[i]) ? "correct" : "incorrect"
Fmt.print("$-38n -> $-12s -> $s", a, decoded[i], correct)
i = i + 1
}

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fcn encode(text){ //-->List
st:=["a".."z"].pump(Data); //"abcd..z" as byte array
text.reduce(fcn(st,c,sink){
n:=st.index(c); sink.write(n); st.del(n).insert(0,c); },st,sink:=L());
sink;
}

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fcn decode(list){ //-->String
st:=["a".."z"].pump(String); //"abcd..z"
sink:=Sink(String);
list.reduce('wrap(st,n){ c:=st[n]; sink.write(c); c+st.del(n); },st);
sink.close();
}

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texts:=T("broood","bananaaa","hiphophiphop");
out:=texts.apply(encode);
texts.zipWith(fcn(t,e){ println(t,"-->",e) },out);
out.apply(decode).println();
texts.zipWith('==,out.apply(decode)).println();