Draw Automatic Butterfly Pattern for Amibroker AFL
BUTTERFLY PATTERN FOR AMIBROKER AFL
The Butterfly pattern is a reversal pattern composed of four legs, similar to the Gartley and Bat pattern, marked X-A, A-B, B-C and C-D. It helps you identify when a current price move is likely approaching its end. This means you can enter the market as the price reverses direction. There is a bullish version where you place a buy trade and a bearish version where you would place a sell trade.
What is the Butterfly Pattern?
The Butterfly pattern can be found near key market reversal points, usually at intermediate highs and lows. The appearance of the butterfly pattern indicates reversals when it is validated. The chart below gives an illustration of the Bullish and Bearish butterfly patterns.
The main rules of the Bullish and Bearish Butterfly patterns are as follows:
Butterfly Rules
- AB can retrace up to 78.6% of the XA leg
- BC can retrace between 38.2% – 88.6% of AB
- CD can be an extension of 1.618% – 2.618% of AB
- CD can also be an extension of up to 1.272% – 1.618% of XA leg
- The point D is known as the PRZ or Potential Reversal Zone
From Point D, a trade can be entered with stops at or above (below) the price point at D.
Butterfly Target Levels
Once a position is entered at D, profits can be booked at 61.8% of CD with the second target at 127.2%. Despite the above rules, in real time such text book patterns that qualify every point of the swing legs do not form as expected, so traders should be a bit flexible while identifying the butterfly patterns.
Here is the Image of AFL [amibroker formula language].
HERE IS BUTTERFLY PATTERN FOR AMIBROKER AFL CODE
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Zig Zag is not used in this AFL. It is based on fractals */ _SECTION_BEGIN("Price"); SetChartOptions(0,chartShowArrows|chartShowDates); _N(Title = StrFormat("{{NAME}} - {{INTERVAL}} {{DATE}} Open %g, Hi %g, Lo %g, Close %g (%.1f%%) {{VALUES}}", O, H, L, C, SelectedValue( ROC( C, 1 ) ) )); Plot( C, "Close", ParamColor("Color", colorBlack ), styleNoTitle | ParamStyle("Style") | GetPriceStyle() ); _SECTION_END(); _SECTION_BEGIN("Gartley"); GBmin = Param("Swing B Min.",0.55,0.3,1,0.01); GBmax = Param("Swing B Max.",0.72,0.4,1,0.01); GCmin = Param("Swing C Min.",0.38,0.3,1.27,0.01); GCmax = Param("Swing C Max.",1.0,0.4,1.27,0.01); GDmin = Param("Swing D Min.(XA)",0.55,0.3,1,0.01); GDmax = Param("Swing D Max.(XA)",1.0,0.4,1.0,0.01); _SECTION_END(); _SECTION_BEGIN("Bat"); BatBmin = Param("Swing B Min.",0.38,0.3,1,0.01); BatBmax = Param("Swing B Max.",0.55,0.4,1,0.01); BatCmin = Param("Swing C Min.",0.38,0.3,1.62,0.01); BatCmax = Param("Swing C Max.",1.27,0.4,1.62,0.01); BatDmin = Param("Swing D Min.(XA)",0.5,0.3,1,0.01); BatDmax = Param("Swing D Max.(XA)",1.0,0.4,1.0,0.01); _SECTION_END(); _SECTION_BEGIN("Butterfly"); BtBmin = Param("Swing B Min.",0.55,0.3,1,0.01); BtBmax = Param("Swing B Max.",0.9,0.4,1,0.01); BtCmin = Param("Swing C Min.",0.38,0.3,1.62,0.01); BtCmax = Param("Swing C Max.",1.27,0.4,1.62,0.01); BtDmin = Param("Swing D Min.(XA)",1,1,1.8,0.01); BtDmax = Param("Swing D Max.(XA)",1.38,1,1.8,0.01); _SECTION_END(); _SECTION_BEGIN("Crab"); CBmin = Param("Swing B Min.",0.38,0.3,1,0.01); CBmax = Param("Swing B Max.",0.65,0.4,1,0.01); CCmin = Param("Swing C Min.",0.38,0.3,1.62,0.01); CCmax = Param("Swing C Max.",1.270,0.4,1.62,0.01); CDmin = Param("Swing D Min.(XA)",1.25,1,1.8,0.01); CDmax = Param("Swing D Max.(XA)",1.8,1,2,0.01); _SECTION_END(); _SECTION_BEGIN("Patterns"); strength = Param("Strength",5,2,15,1); bu = ParamToggle("Bullish Pattern","Off|On",1); be = ParamToggle("Bearish Pattern","Off|On",1); bi = Cum(1)-1; function GetTop(bars) { Top = H == HHV(H,2*bars) AND Ref(HHV(H,bars),bars) < H; Top = Top AND LastValue(bi)-ValueWhen(Top,bi) > bars; return Top; } function GetValley(bars) { Valley = L == LLV(L,2*bars) AND Ref(LLV(L,bars),bars) > L; Valley = Valley AND LastValue(bi)-ValueWhen(Valley,bi) > bars; return Valley; } // Build fractals array P1 = GetTop(strength); V1 = GetValley(Strength); P1 = IIf(P1,IIf(ValueWhen(P1,bi,2) < ValueWhen(V1,bi),P1,IIf(ValueWhen(P1,H,2) > H,False,P1)),P1); //P1 = IIf(P1 AND ValueWhen(P1,bi,0) > bi,IIf(ValueWhen(P1,bi,0) < ValueWhen (V1,bi,0),IIf(ValueWhen(P1,H,0) >= H,False,P1),P1),P1); P1 = IIf(P1 AND ValueWhen(P1,bi,0) > bi AND NOT(ValueWhen(V1,bi,0) > 0 AND ValueWhen(V1,bi,0)<ValueWhen(P1,bi,0)),IIf(ValueWhen(P1,H)<=ValueWhen (P1,H,0),False,P1),P1); V1 = IIf(V1,IIf(ValueWhen(V1,bi,2) < ValueWhen(P1,bi),V1,IIf(ValueWhen(V1,L,2) <L,False,V1)),V1); //V1 = IIf(V1 AND ValueWhen(V1,bi,0) > bi ,IIf(ValueWhen(V1,bi,0) < ValueWhen (P1,bi,0),IIf(ValueWhen(V1,L,0) <= L, False,V1),V1),V1); V1 = IIf(V1 AND ValueWhen(V1,bi,0) > bi AND NOT(ValueWhen(P1,bi,0) > bi AND ValueWhen(P1,bi,0)<ValueWhen(V1,bi,0)) , IIf(ValueWhen(V1,L)>=ValueWhen (V1,L,0),False,V1),V1); P1H1 = ValueWhen(P1,H); P1Bar1 = ValueWhen(P1,bi); P1H2 = ValueWhen(P1,H,2); P1Bar2 = ValueWhen(P1,bi,2); V1L1 = ValueWhen(V1,L); V1Bar1 = ValueWhen(V1,bi); V1L2 = ValueWhen(V1,L,2); V1Bar2 = ValueWhen(V1,bi,2); //Bullish Patterns PTvalid = (P1Bar1 > V1Bar1 AND V1Bar1 > P1Bar2 AND P1bar2 > V1Bar2) AND P1; // Peaks and troughs are in order // 4 swings of developing Gartley/Bat etc. BullGartley4 = PTvalid AND (P1H2-V1L1)/(P1H2-V1L2) > GBmin AND (P1H2-V1L1)/ (P1H2-V1L2) < GBmax AND (P1H1-V1L1)/(P1H2-V1L1) > GCMin AND (P1H1-V1L1)/(P1H2-V1L1) < GCMax; BullBat4 = PTvalid AND (P1H2-V1L1)/(P1H2-V1L2) > BatBmin AND (P1H2-V1L1)/ (P1H2-V1L2) < BatBmax AND (P1H1-V1L1)/(P1H2-V1L1) > BatCMin AND (P1H1-V1L1)/(P1H2-V1L1) < BatCMax; BullButterfly4 = PTvalid AND (P1H2-V1L1)/(P1H2-V1L2) > BtBmin AND (P1H2- V1L1)/(P1H2-V1L2) < BtBMax AND (P1H1-V1L1)/(P1H2-V1L1) > BtCmin AND (P1H1-V1L1)/(P1H2-V1L1) < BtCmax; BullCrab4 = PTvalid AND (P1H2-V1L1)/(P1H2-V1L2) >CBmin AND (P1H2-V1L1)/ (P1H2-V1L2) < CBmax AND (P1H1-V1L1)/(P1H2-V1L1) > CCmin AND (P1H1-V1L1)/(P1H2-V1L1) < CCmax; // Bullish Gartley/Bat found. D retacement level is not evaluated BullGartley = IIf(LowestSince(BullGartley4,L) < ValueWhen(BullGartley4,P1H2)- (ValueWhen(BullGartley4,P1H2)-ValueWhen(BullGartley4,V1L2))*GDmin AND LowestSince (bullGartley4,L) > ValueWhen(BullGartley4,P1H2)-(ValueWhen (BullGartley4,P1H2)-ValueWhen(BullGartley4,V1L2))*GDmax AND HighestSince (BullGartley4,H) <= ValueWhen(BullGartley4,P1H1 ) AND LowestSince (bullGartley4,L)==L, True,False); BullGartley = BullGartley AND LowestSince(BullGartley4,L) < ValueWhen (BullGartley4,V1L1); BullBat = IIf(LowestSince(BullBat4,L) < ValueWhen(BullBat4,P1H2)-(ValueWhen (BullBat4,P1H2)-ValueWhen(BullBat4,V1L2))*BatDmin AND LowestSince (BullBat4,L) > ValueWhen(BullBat4,P1H2)-(ValueWhen(BullBat4,P1H2)-ValueWhen (BullBat4,V1L2))*BatDmax AND HighestSince (BullBat4,H) <= ValueWhen(BullBat4,P1H1 ) AND LowestSince (BullBat4,L)==L, True,False); BullBat = BullBat AND LowestSince(BullCrab4,L) < ValueWhen(BullCrab4,V1L1); BullCrab = IIf(LowestSince(BullCrab4,L) < ValueWhen(BullCrab4,P1H2)- (ValueWhen(BullCrab4,P1H2)-ValueWhen(BullCrab4,V1L2))*CDmin AND LowestSince (BullCrab4,L) > ValueWhen(BullCrab4,P1H2)-(ValueWhen(BullCrab4,P1H2)- ValueWhen(BullCrab4,V1L2))*CDmax AND HighestSince (BullCrab4,H) <= ValueWhen(BullCrab4,P1H1 ) AND LowestSince (bullGartley4,L)==L, True,False); BullCrab = BullCrab AND LowestSince(BullCrab4,L) < ValueWhen(BullCrab4,V1L2); BullButterfly = IIf(LowestSince(BullButterfly4,L) < ValueWhen (BullButterfly4,P1H2)-(ValueWhen(BullButterfly4,P1H2)-ValueWhen (BullButterfly4,V1L2))*BtDMin AND LowestSince (BullButterfly4,L) > ValueWhen(BullButterfly4,P1H2)-(ValueWhen (BullButterfly4,P1H2)-ValueWhen(BullButterfly4,V1L2))*BtDmax AND HighestSince (BullButterfly4,H) <= ValueWhen(BullButterfly4,P1H1 ) AND LowestSince (bullButterfly4,L)==L, True,False); BullButterfly = BullButterfly AND LowestSince(BullButterfly4,L) < ValueWhen (BullButterfly4,V1L2); // to remove redumbdent lines BullHar4 = BullGartley4 OR BullButterfly4 OR BullBat4 OR BullCrab4 ; BullHar = BullGartley OR BullButterfly OR BullBat OR BullCrab ; Point4 = IIf(BullHar,ValueWhen(BullHar4,bi),Null); BullHar = IIf(BullHar, IIf(Point4 == ValueWhen(BullHar,point4,0) AND ValueWhen (BullHar,bi,0) > bi ,False,BullHar),BullHar); X = ValueWhen(BullHar4,V1L2); Xbar = ValueWhen(BullHar4,V1Bar2); A = ValueWhen(BullHar4,P1H2); Abar = ValueWhen(BullHar4,P1bar2); B = ValueWhen(BullHar4,V1L1); Bbar = ValueWhen(BullHar4,V1bar1); C1 = ValueWhen(BullHar4,P1H1); C1bar = ValueWhen(BullHar4,P1bar1); D = ValueWhen(BullHar,L); Dbar = ValueWhen(BullHar,bi); ABdXA = (A-B)/(A-X); BCdAB = (C1-B)/(A-B); ADdXA = (A-D)/(A-X); BCdCD = (C1-D)/(C1-B); PlotPattern = Dbar > C1bar; if(LastValue(PlotPattern) AND bu) { Plot( LineArray(LastValue(Xbar),LastValue(X),LastValue(Abar),LastValue (A)),"",colorBlue,styleThick); Plot(LineArray(LastValue(Abar),LastValue(A),LastValue(Bbar),LastValue (B)),"",colorBlue,styleThick); Plot(LineArray(LastValue(Bbar),LastValue(B),LastValue(C1bar),LastValue (C1)),"",colorBlue,styleThick); Plot(LineArray(LastValue(C1bar),LastValue(C1),LastValue(Dbar),LastValue (D)),"",colorBlue,styleThick); Plot(LineArray(LastValue(Xbar),LastValue(X),LastValue(Bbar),LastValue (B)),"",colorBlue,styleDashed); Plot(LineArray(LastValue(Xbar),LastValue(X),LastValue(Abar),LastValue (A)),"",colorBlue,styleThick); Plot(LineArray(LastValue(Abar),LastValue(A),LastValue(C1bar),LastValue (C1)),"",colorBlue,styleDashed); Plot(LineArray(LastValue(Bbar),LastValue(B),LastValue(Dbar),LastValue (D)),"",colorBlue,styleDashed); Plot(LineArray(LastValue(Xbar),LastValue(X),LastValue(Dbar),LastValue (D)),"",colorBlue,styleDashed); PlotText(NumToStr(LastValue(ABdXA),1.2),(LastValue(Bbar)+LastValue(Xbar))/2, (LastValue(B)+LastValue(X))/2,colorBlue); PlotText(NumToStr(LastValue(BCdAB),1.2),(LastValue(C1bar)+LastValue(Abar))/2, (LastValue(C1)+LastValue(A))/2,colorBlue); PlotText(NumToStr(LastValue(ADdXA),1.2) ,(LastValue(Dbar)+LastValue(Xbar))/2, (LastValue(D)+LastValue(X))/2,colorBlue); PlotText(NumToStr(LastValue(BCdCD),1.2),(LastValue(Bbar)+LastValue(Dbar))/2, (LastValue(B)+LastValue(D))/2,colorBlue); } // Bearish Patterns PTvalid = (V1Bar1 > P1Bar1 AND P1Bar1 > V1Bar2 AND V1Bar2 > P1Bar2) AND V1; // Swing 4 BearGartley4 = PTvalid AND (P1H1-V1L2)/(P1H2-V1L2) > GBmin AND (P1H1- V1L2)/(P1H2-V1L2) < GBmax AND (P1H1-V1L1)/(P1H1-V1L2) > GCmin AND (P1H1-V1L1)/(P1H1-V1L2) < GCmax; BearBat4 = PTvalid AND (P1H1-V1L2)/(P1H2-V1L2) > BatBmin AND (P1H1-V1L2)/ (P1H2-V1L2) < BatBmax AND (P1H1-V1L1)/(P1H1-V1L2) > BatCmin AND (P1H1-V1L1)/(P1H1-V1L2) < BatCmax; BearButterfly4 = PTvalid AND (P1H1-V1L2)/(P1H2-V1L2) > BtBmin AND (P1H1- V1L2)/(P1H2-V1L2) < BtBmax AND (P1H1-V1L1)/(P1H1-V1L2) > BtCmin AND (P1H1-V1L1)/(P1H1-V1L2) < BtCmax; BearCrab4 = PTvalid AND (P1H1-V1L2)/(P1H2-V1L2) > CBmin AND (P1H1-V1L2)/ (P1H2-V1L2) < CBmax AND (P1H1-V1L1)/(P1H1-V1L2) > CCmin AND (P1H1-V1L1)/(P1H1-V1L2) < CCmax; // Poin D BearGartley = IIf(HighestSince(bearGartley4,H) > ValueWhen(BearGartley4,V1L2) + (ValueWhen(BearGartley4,P1H2) - ValueWhen(BearGartley4,V1L2))*GDmin AND HighestSince(bearGartley4,H) < ValueWhen(BearGartley4,V1L2) + (ValueWhen(BearGartley4,P1H2) - ValueWhen (BearGartley4,V1L2))*GDMax AND LowestSince(BearGartley4,L) >= ValueWhen(BearGartley4,V1L1 ) AND HighestSince(BearGartley4,H) == H, True, False); BearGartley = BearGartley AND HighestSince(BearGartley4,H) > ValueWhen (BearGartley4,P1H1); BearBat = IIf((HighestSince(BearBat4,H) > ValueWhen(BearBat4,V1L2) + (ValueWhen(BearBat4,P1H2) - ValueWhen(BearBat4,V1L2))*BatDmin AND HighestSince(BearBat4,H) < ValueWhen (BearBat4,V1L2) + (ValueWhen(BearBat4,P1H2) - ValueWhen(BearBat4,V1L2)) *BatDMax AND LowestSince(BearBat4,L) >= ValueWhen (BearBat4,V1L1 ) AND HighestSince(BearBat4,H) == H), True, False); BearBat = BearBat AND HighestSince(BearBat4,H) > ValueWhen(BearBat4,P1H1); BearButterfly = IIf(HighestSince(BearButterfly4,H) > ValueWhen (BearButterfly4,V1L2) + (ValueWhen(BearButterfly4,P1H2) - ValueWhen (BearButterfly4,V1L2))*BtDmin AND HighestSince(BearButterfly4,H) < ValueWhen(BearButterfly4,V1L2) + (ValueWhen(BearButterfly4,P1H2) - ValueWhen (BearButterfly4,V1L2))*BtDMax AND LowestSince(BearButterfly4,L) >= ValueWhen(BearButterfly4,V1L1 ) AND HighestSince(BearButterfly4,H) == H, True, False); BearButterfly = BearButterfly AND HighestSince(BearButterfly4,H) > ValueWhen (BearButterfly4,P1H2); BearCrab = IIf(HighestSince(BearCrab4,H) > ValueWhen(BearCrab4,V1L2) + (ValueWhen(BearCrab4,P1H2) - ValueWhen(BearCrab4,V1L2))*CDmin AND HighestSince(BearCrab4,H) < ValueWhen (BearCrab4,V1L2) + (ValueWhen(BearCrab4,P1H2) - ValueWhen(BearCrab4,V1L2)) *CDMax AND LowestSince(BearCrab4,L) >= ValueWhen (BearCrab4,V1L1 ) AND HighestSince(BearCrab4,H) == H, True, False); BearCrab =BearCrab AND HighestSince(BearCrab4,H) > ValueWhen (BearCrab4,P1H2); BearHar4 = BearGartley4 OR BearButterfly4 OR BearBat4 OR BearCrab4 ; BearHar = BearGartley OR BearButterfly OR BearBat OR BearCrab ; Point4 = IIf(BearHar,ValueWhen(BearHar4,bi),Null); BearHar = IIf(BearHar, IIf(Point4 == ValueWhen(BearHar,point4,0) AND ValueWhen(BearHar,bi,0) > bi ,False,BearHar),BearHar); X = ValueWhen(BearHar4,P1H2); Xbar = ValueWhen(BearHar4,P1Bar2); A = ValueWhen(BearHar4,V1L2); Abar = ValueWhen( BearHar4,V1bar2); B = ValueWhen(BearHar4,P1H1); Bbar = ValueWhen(BearHar4,P1bar1); C1 = ValueWhen(BearHar4,V1L1); C1bar = ValueWhen(BearHar4,V1bar1); D = ValueWhen(BearHar,H); Dbar = ValueWhen(BearHar,bi); ABdXA = (B-A)/(X-A); BCdAB = (B-C1)/(B-A); ADdXA = (D-A)/(X-A); BCdCD = (D-C1)/(B-C1); PlotPattern = Dbar > C1bar; if(LastValue(Plotpattern) AND be) { Plot( LineArray(LastValue(Xbar),LastValue(X),LastValue(Abar),LastValue (A)),"",colorRed,styleThick); Plot(LineArray(LastValue(Abar),LastValue(A),LastValue(Bbar),LastValue (B)),"",colorRed,styleThick); Plot(LineArray(LastValue(Bbar),LastValue(B),LastValue(C1bar),LastValue (C1)),"",colorRed,styleThick); Plot(LineArray(LastValue(C1bar),LastValue(C1),LastValue(Dbar),LastValue (D)),"",colorRed,styleThick); Plot(LineArray(LastValue(Xbar),LastValue(X),LastValue(Bbar),LastValue (B)),"",colorRed,styleDashed); Plot(LineArray(LastValue(Xbar),LastValue(X),LastValue(Abar),LastValue (A)),"",colorRed,styleThick); Plot(LineArray(LastValue(Abar),LastValue(A),LastValue(C1bar),LastValue (C1)),"",colorRed,styleDashed); Plot(LineArray(LastValue(Bbar),LastValue(B),LastValue(Dbar),LastValue (D)),"",colorRed,styleDashed); Plot(LineArray(LastValue(Xbar),LastValue(X),LastValue(Dbar),LastValue (D)),"",colorRed,styleDashed); PlotText(NumToStr(LastValue(ABdXA),1.2),(LastValue(Bbar)+LastValue(Xbar))/2, (LastValue(B)+LastValue(X))/2,colorRed); PlotText(NumToStr(LastValue(BCdAB),1.2),(LastValue(C1bar)+LastValue(Abar))/2, (LastValue(C1)+LastValue(A))/2,colorRed); PlotText(NumToStr(LastValue(BCdCD),1.2) ,(LastValue(Dbar)+LastValue(Bbar))/2, (LastValue(D)+LastValue(B))/2,colorRed); PlotText(NumToStr(LastValue(ADdXA),1.2) ,(LastValue(Dbar)+LastValue(Xbar))/2, (LastValue(D)+LastValue(X))/2,colorRed); } LatPattern = bullHar OR bearHar; Lastpattern = LastValue(ValueWhen(LatPattern,IIf(BullGartley,1,IIf(BearGartley,- 1,IIf(BullBat,2,IIf(BearBat,-2, IIf(BullButterfly,3,IIf(BearButterfly,-3,IIf (BullCrab,4,IIf(BearCrab,-4,Null)))))))))); PatternName = WriteIf(LastPattern == 1,"Bullish Gartley",WriteIf(LastPattern == - 1,"Bearish Gartley",WriteIf(LastPattern == 2,"Bullish Bat", WriteIf(LastPattern == -2,"Bearish Bat",WriteIf(LastPattern == 3,"Bullish Butterfly",WriteIf(LastPattern == -3,"Bearish Butterfly", WriteIf(LastPattern == 4,"Bullish Crab",WriteIf(LastPattern == -4,"Bearish Crab","None")))))))); plotFractals = ParamToggle("Plot Fractals","Off|On",0); if(PlotFractals) { PlotShapes(shapeSmallCircle*P1,colorRed,0,H,10); PlotShapes(shapeSmallCircle*V1,colorBlue,O,L,-10); } GfxSetTextColor(IIf(LastPattern > 0, colorGreen,colorRed)); GfxTextOut("Last Pattern : " + PatternName,0,20); Filter = BullHar OR BearHar; Bull = BullHar; Bear = BearHar; Color = IIf(Bull,colorGreen,colorRed); AddColumn(IIf(Bull,1,IIf(Bear,-1,Null)),"Pattern",1.0,colorWhite,Color); |
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