%?BS2RV.m?-?Binary?string?to?real?vector
%
%?This?function?decodes?binary?chromosomes?into?vectors?of?reals.?The
%?chromosomes?are?seen?as?the?concatenation?of?binary?strings?of?given
%?length?and?decoded?into?real?numbers?in?a?specified?interval?using
%?either?standard?binary?or?Gray?decoding.
%
%?Syntax:???????Phen?=?bs2rv（ChromFieldD）
%
%?Input?parameters:
%
%???????????????Chrom????-?Matrix?containing?the?chromosomes?of?the?current
%??????????????????????????population.?Each?line?corresponds?to?one
%??????????????????????????individual‘s?concatenated?binary?string
%???????????			???representation.?Leftmost?bits?are?MSb?and
%			???????????????rightmost?are?LSb.
%
%???????????????FieldD???-?Matrix?describing?the?length?and?how?to?decode
%???????????			???each?substring?in?the?chromosome.?It?has?the
%???????????			???following?structure:
%
%				[len;		（num）
%				?lb;		（num）
%				?ub;		（num）
%				?code;		（0=binary?????|?1=gray）
%				?scale;		（0=arithmetic?|?1=logarithmic）
%				?lbin;		（0=excluded???|?1=included）
%				?ubin];		（0=excluded???|?1=included）
%
%			???where
%				len???-?row?vector?containing?the?length?of
%???					each?substring?in?Chrom.?sum（len）
%			????		should?equal?the?individual?length.
%				lb
%				ub????-?Lower?and?upper?bounds?for?each
%			????		variable.?
%				code??-?binary?row?vector?indicating?how?each
%				????	substring?is?to?be?decoded.
%				scale?-?binary?row?vector?indicating?where?to
%				????	use?arithmetic?and/or?logarithmic
%				????	scaling.
%				lbin
%				ubin??-?binary?row?vectors?indicating?whether
%				????	or?not?to?include?each?bound?in?the
%				????	representation?range
%
%?Output?parameter:
%
%???????????????Phen?????-?Real?matrix?containing?the?population?phenotypes.
%
%?Author:?Carlos?Fonseca?	Updated:?Andrew?Chipperfield???
%?Date:?08/06/93		????Date:?26-Jan-94
%
%?Tested?under?MATLAB?v6?by?Alex?Shenfield?（17-Jan-03）

function?Phen?=?bs2rv（ChromFieldD）

%?Identify?the?population?size?（Nind）
%??????and?the?chromosome?length?（Lind）
[NindLind]?=?size（Chrom）;

%?Identify?the?number?of?decision?variables?（Nvar）
[sevenNvar]?=?size（FieldD）;

if?seven?~=?7
	error（‘FieldD?must?have?7?rows.‘）;
end

%?Get?substring?properties
len?=?FieldD（1:）;
lb?=?FieldD（2:）;
ub?=?FieldD（3:）;
code?=?~（~FieldD（4:））;
scale?=?~（~FieldD（5:））;
lin?=?~（~FieldD（6:））;
uin?=?~（~FieldD（7:））;

%?Check?substring?properties?for?consistency
if?sum（len）?~=?Lind
	error（‘Data?in?FieldD?must?agree?with?chromosome?length‘）;
end

if?~all（lb（scale）.*ub（scale）>0）
	error（‘Log-scaled?variables?must?not?include?0?in?their?range‘）;
end

%?Decode?chromosomes
Phen?=?zeros（NindNvar）;

lf?=?cumsum（len）;
li?=?cumsum（[1?len]）;
Prec?=?.5?.^?len;

logsgn?=?sign（lb（scale））;
lb（scale）?=?log（?abs（lb（scale））?）;
ub（scale）?=?log（?abs（ub（scale））?）;
delta?=?ub?-?lb;

Prec?=?.5?.^?len;
num?=?（~lin）?.*?Prec;
den?=?（lin?+?uin?-?1）?.*?Prec;

for?i?=?1:Nvar
????idx?=?li（i）:lf（i）;
????if?code（i）?%?Gray?decoding
	????Chrom（:idx）=rem（cumsum（Chrom（:idx）‘）‘

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????目錄???????????0??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\
?????文件????????3242??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\bs2rv.m
?????文件????????1781??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\contents.m
?????文件????????1192??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\crtbase.m
?????文件????????2198??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\crtbp.m
?????文件????????2105??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\crtrp.m
?????目錄???????????0??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\DOC\
?????文件?????3850173??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\DOC\GAToolbox?Documentation.pdf
?????文件???????18046??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\LICENSE
?????文件????????7124??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\migrate.m
?????文件????????3962??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\mpga.m
?????文件????????1610??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\mut.m
?????文件????????3423??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\mutate.m
?????文件????????4898??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\mutbga.m
?????文件????????2648??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\objfun1.m
?????文件????????2567??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\objharv.m
?????文件????????4691??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\ranking.m
?????文件????????1491??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\README.md
?????文件????????1840??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\recdis.m
?????文件????????1906??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\recint.m
?????文件????????1963??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\reclin.m
?????文件????????4879??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\recmut.m
?????文件????????2505??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\recombin.m
?????文件????????5518??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\reins.m
?????文件????????1229??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\rep.m
?????文件????????2091??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\resplot.m
?????文件????????1134??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\rws.m
?????文件????????1208??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\scaling.m
?????文件????????2399??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\select.m
?????文件????????2038??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\sga.m
?????文件????????1345??2016-09-01?20:24??UoS-CODeM-GA-Toolbox-8ca5c5c\sus.m
............此處省略35個文件信息