%?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:Nv

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----

?????文件???????1166??2003-01-26?16:45??rws.m

?????文件???????1255??2003-01-26?16:46??scaling.m

?????文件???????2466??2003-01-26?16:46??select.m

?????文件???????2161??2003-01-24?15:18??sga.m

?????文件???????1384??2003-01-22?12:13??sus.m

?????文件???????1106??2003-01-22?12:32??xovdp.m

?????文件???????1155??2003-01-22?12:37??xovdprs.m

?????文件???????2873??2003-01-22?12:42??xovmp.m

?????文件???????1097??2003-01-22?12:43??xovsh.m

?????文件???????1145??2003-01-22?12:44??xovshrs.m

?????文件???????1110??2003-01-22?12:45??xovsp.m

?????文件???????1155??2003-01-22?12:47??xovsprs.m

?????文件??????53484??1998-04-22?11:14??DOC\GATBXA0.PS

?????文件?????204230??1998-04-22?11:14??DOC\GATBXA1.PS

?????文件?????200234??1998-04-22?11:14??DOC\GATBXA2.PS

?????文件???????5111??2003-01-26?16:47??Test_fns\demoga1.m

?????文件???????4783??2003-01-26?16:49??Test_fns\mpga.m

?????文件???????2611??2003-01-29?17:17??Test_fns\objbran.m

?????文件???????4206??2003-01-26?19:14??Test_fns\objdopi.m

?????文件???????2507??2003-01-29?17:25??Test_fns\objeaso.m

?????文件???????2714??2003-01-21?11:23??Test_fns\objfun1.m

?????文件???????2582??2003-01-21?11:24??Test_fns\objfun1a.m

?????文件???????2441??2003-01-21?11:24??Test_fns\objfun1b.m

?????文件???????2593??2003-01-21?11:25??Test_fns\objfun2.m

?????文件???????2819??2003-01-21?11:25??Test_fns\objfun6.m

?????文件???????2523??2003-01-21?11:25??Test_fns\objfun7.m

?????文件???????2747??2003-01-21?11:25??Test_fns\objfun8.m

?????文件???????2470??2003-01-21?11:26??Test_fns\objfun9.m

?????文件???????2700??2003-01-21?11:49??Test_fns\objgold.m

?????文件???????2643??2003-01-21?11:49??Test_fns\objharv.m

............此處省略39個文件信息