Cycle Highlighter.afl
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上传日期:2009-06-12
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- //------------------------------------------------------------------------------
- //
- // Formula Name: Cycle Highlighter
- // Author/Uploader: Andy Davidson -
- // E-mail:
- // Date/Time Added: 2006-10-11 04:09:26
- // Origin:
- // Keywords: Cycle, Cyclic, Millard, Hurst
- // Level: medium
- // Flags: indicator
- // Formula URL: http://www.amibroker.com/library/formula.php?id=738
- // Details URL: http://www.amibroker.com/library/detail.php?id=738
- //
- //------------------------------------------------------------------------------
- //
- // Derived from Millard's "Tribute to J M Hurst" book, using centred MAs to
- // visualise the cyclic components and a 'best fit' sine wave (red) to
- // extrapolate to the right-hand edge.
- //
- // The sine wave is anchored at the most recent trough or peak in the cycle
- // highlighter line. The red and blue spikes show the start point of each plot
- // as far as the correlation goes. Change the "Best fit # recent cycles"
- // parameter to move these. In the title, the first correlation number (blue)
- // is the correlation coefficient between the cycle highlighter and the fitted
- // sine wave in the best fit 'window' and the red number in brackets is the
- // correlation between the *price* and the sine wave over the projected end
- // period (from where the cycle highlighter stops to the right-edge).
- //
- //------------------------------------------------------------------------------
- function TriMA(array,periods)
- {
- pds = (periods+1)/2;
- pds = IIf(frac(pds)==0, pds, pds+1);
- return MA( MA(array,pds), pds);
- }
- function CycleHighlighter(Periods,Price)
- {
- P1 = int(Periods*1.5); //due to lag characteristics of Tri MA
- P1 = LastValue(IIf(frac(P1/2)==0,P1+1,P1));
- P2 = int(p1/2);
- P2 = LastValue(IIf(frac(P2/2)==0,P2+1,P2));
- MA1 = TriMA(Price,P1);
- MA2 = TriMA(Price,P2);
- PC1 = (P1-1)/2; //Centre MAs
- PC2 = (P2-1)/2;
- CMA1 = Ref(MA1,PC1);
- CMA2 = Ref(MA2,PC2);
- Cyhi = CMA2-CMA1;
- global Revcount;
- global end;
- Revcount = LastValue( BarIndex() ) - BarIndex();
- end = revcount<PC1;
- return IIf(end, ValueWhen(revcount==PC1,Cyhi,1), Cyhi);
- }
- function AnchoredSine(BaseCycle,LookbackCycles,Method,Periods,Shift) //input should be a cycle function from the cycle highlighter
- {
- global BCpk;
- global BCtr;
- global BCStart;
- global sineamplitude;
- //define "best fit" window from BC peaks and troughs over # of lookbackcycles
- BCpk = HHVBars(Basecycle,5)==2 AND BaseCycle<Ref(Basecycle,-1) AND end==0;
- BCtr = LLVBars(Basecycle,5)==2 AND BaseCycle>Ref(Basecycle,-1) AND end==0;
- BCStart = IIf(ValueWhen(BCpk OR BCtr,BCpk,1), ValueWhen(BCpk,BarIndex(),1+Lookbackcycles), ValueWhen(BCtr,BarIndex(),1+Lookbackcycles) ) ;
- BCStart = BarIndex()==LastValue( ValueWhen(end==0,BCStart,1) );
-
- //derive *recent* average wavelength of Base Cycle (over # of lookbackcycles) from peaks and troughs
- BCpkpds = LastValue( ValueWhen(BCpk,BarIndex(),1) - ValueWhen(BCpk,BarIndex(),1+LookbackCycles) ) / LookbackCycles;
- BCtrpds = LastValue( ValueWhen(BCtr,BarIndex(),1) - ValueWhen(BCtr,BarIndex(),1+LookbackCycles) ) / LookbackCycles;
- BCpds = (BCpkpds+BCtrpds)/2;
-
- Periods = IIf(Method==0, Periods, BCpds);
- //now determine suitable amplitude from StDev of Base Cycle during "best fit" window
- sineamplitude = LastValue( StDev( BaseCycle, LastValue(BarsSince(BCStart)) ) *1.5 );
-
- //now determine where sine wave is anchored to BaseCycle
- //i.e., most recent of a BaseCycle Peak or Trough
- pkOffset = LastValue( ValueWhen(BCpk,BarIndex(),1) )-2;
- trOffset = LastValue( ValueWhen(BCtr,BarIndex(),1) )-2;
- //Offset = (pkOffset+trOffset)/2;
- if ( LastValue( ValueWhen(BCpk OR BCtr,BCpk,1) ) ) //RECENT ANCHOR POINT IS A PEAK
- { sine = sin( (Cum(1)-pkOffset+Periods/4-Shift)/Periods * 6.283185 ); }
- if ( LastValue( ValueWhen(BCpk OR BCtr,BCtr,1) ) ) //RECENT ANCHOR POINT IS A TROUGH
- { sine = sin( (Cum(1)-trOffset+Periods*3/4-Shift)/Periods * 6.283185 ); }
- return sine*sineamplitude;
- }
- Pds = Param("Base Cycle Wavelength", 60, 3, 1000, 2);
- Price = IIf(ParamToggle("Price Field", "Mid Price | Close", 0)==0, (H+L)/2 , C);
- CycNo = Param("Best fit # recent cycles", 3, 1, 10);
- Method = ParamToggle("Sine Wavelength", "As Base Cycle | Best Fit", 0);
- Shift = Param("Manual Shift", 0, -100, 100);
- BaseCycle = CycleHighlighter(Pds,Price);
- Refsine = AnchoredSine(BaseCycle,CycNo,Method,Pds,Shift);
- //Find start of Sine Cycle
- Sinepk = HHVBars(Refsine,5)==2 AND Refsine<Ref(Refsine,-1);
- Sinetr = LLVBars(Refsine,5)==2 AND Refsine>Ref(Refsine,-1);
- SineStart = IIf(ValueWhen(BCpk OR BCtr,BCpk,1), ValueWhen(Sinepk,BarIndex(),1+CycNo), ValueWhen(Sinetr,BarIndex(),1+CycNo) ) ;
- SineStart = BarIndex()==LastValue( ValueWhen(end==0,SineStart,1) );
- sinamp = IIf(LastValue(ValueWhen(BCpk OR BCtr,BCpk,1)), sineamplitude, -sineamplitude);
- //Predicted date & time of next peak or trough (for title)
- SineWavelength = LastValue( ValueWhen(sinepk OR sinetr,BarIndex(),1) - ValueWhen(sinepk OR sinetr,BarIndex(),3) );
- NextPk = Max( 0, SineWavelength - LastValue(BarsSince(sinepk)) - 2 );
- NextTr = Max( 0, sineWavelength - LastValue(BarsSince(sinetr)) - 2 );
- Bars = IIf(Nextpk<Nexttr,nextPk,nextTr);
- Type = WriteIf(Nextpk<NextTr,"peak","trough");
- //Correlation between Sine and base Cycle over "lookback" window
- LookbackBars = LastValue( Max(BarsSince(BCStart),BarsSince(sineStart))-BarsSince(end==0) );
- CorSineBC = LastValue( ValueWhen(end==0,Correlation(BaseCycle,RefSine,Lookbackbars),1) );
- //Correlation between Sine and Price in "end" period
- EndBars = LastValue( BarsSince(end==0) );
- CorEnd = LastValue( Correlation(Price,RefSine,EndBars) );
- //Overall correlation
- Cor = ( (CorSineBC*Lookbackbars)+(CorEnd*Endbars) ) / (Lookbackbars+Endbars);
- Title = EncodeColor(colorGreen) + "CYCLE HIGHLIGHTERn" + EncodeColor(colorGrey50) + "Base Cycle Wavelength = "
- + EncodeColor(colorBlue) + NumToStr(Pds,1.0) + " barsn" + EncodeColor(colorGrey50)
- + "Sine Wavelength = " + NumToStr(sineWavelength,1.0) + "barsn"
- + "correlated " + EncodeColor(colorBlue) + "over " + WriteVal(CycNo,1.0) + WriteIf(CycNo>1," base cycles"," base cycle") + EncodeColor(colorGrey50)
- + "nprojected next: " + EncodeColor(colorDarkRed) + Type + " in " + NumToStr(bars,1.0) + WriteIf(Bars>1," bars"," bar") + EncodeColor(colorGrey50)
- + "ncorrelation = " + EncodeColor(colorBlue) + NumToStr(CorSineBC,1.2) + EncodeColor(colorRed) + " (" + NumToStr(CorEnd,1.2) + ")";
- Plotcolour = IIf(end, colorLightGrey, ParamColor("Colour",colorBlue) );
- Plot(Refsine,"",colorRed,styleNoLabel);
- Plot( BaseCycle, "Cycle Highlighter", Plotcolour, ParamStyle("Style",styleThick) | styleNoLabel);
- Plot( 0, "", colorLightGrey,styleNoLabel);
- Plot(BCstart*sinamp,"",colorBlue,styleNoLabel);
- Plot(sineStart*sinamp,"",colorRed,styleNoLabel);