X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fcommunications-1.1.1%2Fhuffmandeco.m;fp=octave_packages%2Fcommunications-1.1.1%2Fhuffmandeco.m;h=9223a289ff773d44644fe766ee87a8beeb002eb1;hp=0000000000000000000000000000000000000000;hb=f5f7a74bd8a4900f0b797da6783be80e11a68d86;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/communications-1.1.1/huffmandeco.m b/octave_packages/communications-1.1.1/huffmandeco.m new file mode 100644 index 0000000..9223a28 --- /dev/null +++ b/octave_packages/communications-1.1.1/huffmandeco.m @@ -0,0 +1,102 @@ +## Copyright (C) 2006 Muthiah Annamalai +## Copyright (C) 2011 Ferran Mesas Garcia +## +## This program is free software; you can redistribute it and/or modify it under +## the terms of the GNU General Public License as published by the Free Software +## Foundation; either version 3 of the License, or (at your option) any later +## version. +## +## This program is distributed in the hope that it will be useful, but WITHOUT +## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or +## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more +## details. +## +## You should have received a copy of the GNU General Public License along with +## this program; if not, see . + +## -*- texinfo -*- +## @deftypefn {Function File} {@var{sig} =} huffmandeco (@var{hcode}, @var{dict}) +## Decode signal encoded by @code{huffmanenco}. +## +## This function uses a dict built from the +## @code{huffmandict} and uses it to decode a signal list into a huffman +## list. A restriction is that @var{hcode} is expected to be a binary code +## +## The returned @var{sig} set that strictly belongs in the range @code{[1,N]} +## with @code{N = length(@var{dict})}. Also @var{dict} can only be from the +## @code{huffmandict} routine. Whenever decoding fails, those signal values a +## re indicated by @code{-1}, and we successively try to restart decoding +## from the next bit that hasn't failed in decoding, ad-infinitum. An example +## of the use of @code{huffmandeco} is: +## +## @example +## @group +## hd = huffmandict (1:4, [0.5 0.25 0.15 0.10]); +## hcode = huffmanenco (1:4, hd); +## back = huffmandeco (hcode, hd) +## @result{} [1 2 3 4] +## @end group +## @end example +## @seealso{huffmandict, huffmanenco} +## @end deftypefn + +function symbols = huffmandeco (hcode, dict) + + if (nargin != 2) + print_usage(); + elseif (!all((hcode == 1) + (hcode == 0)) || !isvector(hcode)) + error ("first argument must be a binary array"); + elseif (!strcmp (class (dict), "cell")) + error ("second argument must be of the class dict (from `huffmandict')"); + end + + ## Convert the Huffman Dictionary to a Huffman Tree represented by + ## an array. + tree = dict2tree(dict); + + ## Traverse the tree and store the symbols. + symbols = []; + pointer = 1; # a pointer to a node of the tree. + for i = 1:length (hcode); + if (tree(pointer) != -1) + symbols = [symbols, tree(pointer)]; + pointer = 1; + endif + pointer = 2 * pointer + hcode(i); + endfor + + ## Check if decodification was successful + if (tree(pointer) == -1) + warning ("could not decode last symbol.") + endif + symbols = [symbols, tree(pointer)]; +endfunction + +function tree = dict2tree (dict) + L = length(dict); + lengths = zeros(1,L); + + ## the depth of the tree is limited by the maximum word length. + for i = 1:L + lengths(i) = length (dict{i}); + endfor + m = max (lengths); + + tree = zeros(1,2^(m+1)-1)-1; + + for i = 1:L + pointer = 1; + word = dict{i}; + for bit = word + pointer = 2 * pointer + bit; + endfor + tree(pointer) = i; + endfor +endfunction + +%!assert(huffmandeco(huffmanenco(1:4, huffmandict(1:4,[0.5 0.25 0.15 0.10])), huffmandict(1:4,[0.5 0.25 0.15 0.10])), [1:4],0) +%!assert(huffmandeco(huffmanenco([1:100 100:-1:1], huffmandict(1:100,ones(1,100)/100)), huffmandict(1:100,ones(1,100)/100)), [1:100 100:-1:1],0) +%!assert(huffmandeco([huffmanenco(1:4, huffmandict(1:4,[0.5 0.25 0.15 0.10])) 0], huffmandict(1:4,[0.5 0.25 0.15 0.10])), [1:4 -1],0) +%!fail('huffmandeco([huffmanenco(1:4, huffmandict(1:4,[0.5 0.25 0.15 0.10])) 0], huffmandict(1:4,[0.5 0.25 0.15 0.10]))','warning') +%!fail('huffmandeco(''this is not a code'',huffmandict(1:4,[0.5 0.25 0.15 0.10]))') +%!fail('huffmandeco([1 0 1 0],''this is not a dictionary'')')