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Hans,
Chapters
http://www.hypertextbook.com/chaos/11.shtml
and
http://www.hypertextbook.com/chaos/12.shtml
are already complete in details.
Would it be interesting to post the AFL translation for this part ?
[The AFL part is quite interesting...]
Dimitris
--- In amibroker@xxxxxxxxxxxxxxx, "Hans" <hansib@xxxx> wrote:
>
> Dimitris,
> happy to see that you proceed with "Hypertext book, chaos" ... this
> is a great work..
>
> Thanks,
> Hans
>
> --- 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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