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[amibroker] Re: Chaos:Introductory AFL notes



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See, for example, 
http://www.hypertextbook.com/chaos/43.shtml
http://www.iqnet.cz/dostal/CHA1.htm
http://idari.cu.edu.tr/sempozyum/bil3.htm
Dimitris
--- In amibroker@xxxxxxxxxxxxxxx, das300@xxxx wrote:
> 
> besides being great we can iterate ... what use has it been in a 
> practical sense ?
> any examples within trading ?
> 
> 
> 
> regards
> das300
> maurice
> 
> 
> --- In amibroker@xxxxxxxxxxxxxxx, "DIMITRIS TSOKAKIS" 
<TSOKAKIS@xxxx> 
> wrote:
> > 
> > AFL structure helps to reproduce the tables of
> > http://www.hypertextbook.com/chaos/11.shtml
> > The initial function is applied 1, 5, 10, 50, 100, 500 and 1000 
> times 
> > [!!]
> > In an Indicator builder window paste the
> > 
> > Title="The orbits of 9 seeds of the f(x)=x^2+1/4"; 
> > function f1(x)
> > {return x^2+1/4;}
> > function f5(x)
> > {return f1(f1(f1(f1(f1(x)))));}
> > function f10(x)
> > {return f5(f5(x));}
> > function f50(x)
> > {return f10(f10(f10(f10(f10(x)))));}
> > function f100(x)
> > {return f50(f50(x));}
> > function f500(x)
> > {return f100(f100(f100(f100(f100(x)))));}
> > function f1000(x)
> > {return f500(f500(x));}
> > for(i=-1;i<=1;i=i+0.25)
> > {
> > Title=Title+"\ni="+
> > WriteIf(i>=0," ","")+WriteVal(i,1.2)+
> > WriteIf(f1(i)>0,"   ","  ")+WriteVal(f1(i),1.3)+
> > WriteIf(f5(i)>0,"   ","  ")+WriteVal(f5(i),1.3)+
> > WriteIf(f10(i)>0,"   ","  ")+WriteVal(f10(i),1.3)+
> > WriteIf(f50(i)>0,"   ","  ")+WriteVal(f50(i),1.3)+
> > WriteIf(f100(i)>0,"   ","  ")+WriteVal(f100(i),1.3)+
> > WriteIf(f500(i)>0,"   ","  ")+WriteVal(f500(i),1.3)+
> > WriteIf(f1000(i)>0,"   ","  ")+WriteVal(f1000(i),1.3);
> > }
> > 
> > and, with a few changes, in a new IB window, paste the
> > 
> > Title="The orbits of 15 seeds of the f(x)=x^2-3/4"; 
> > function f1(x)
> > {return x^2-3/4;}
> > function f5(x)
> > {return f1(f1(f1(f1(f1(x)))));}
> > function f10(x)
> > {return f5(f5(x));}
> > function f50(x)
> > {return f10(f10(f10(f10(f10(x)))));}
> > function f100(x)
> > {return f50(f50(x));}
> > function f500(x)
> > {return f100(f100(f100(f100(f100(x)))));}
> > function f1000(x)
> > {return f500(f500(x));}
> > for(i=-1.75;i<2;i=i+0.25)
> > {
> > Title=Title+"\ni="+
> > WriteIf(i>=0," ","")+WriteVal(i,1.2)+
> > WriteIf(f1(i)>0,"   ","  ")+WriteVal(f1(i),1.3)+
> > WriteIf(f5(i)>0,"   ","  ")+WriteVal(f5(i),1.3)+
> > WriteIf(f10(i)>0,"   ","  ")+WriteVal(f10(i),1.3)+
> > WriteIf(f50(i)>0,"   ","  ")+WriteVal(f50(i),1.3)+
> > WriteIf(f100(i)>0,"   ","  ")+WriteVal(f100(i),1.3)+
> > WriteIf(f500(i)>0,"   ","  ")+WriteVal(f500(i),1.3)+
> > WriteIf(f1000(i)>0,"   ","  ")+WriteVal(f1000(i),1.3);
> > }
> > 
> > Glenn Elert, the author of this interesting book, writes :"...if 
> you 
> > wait long enough..."
> > The AFL time is ~2sec and it is not bad at all !!
> > 
> > Dimitris





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