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Complete KAMA



// AMA System by Karthikmarar
// Two adjustable parameter "Buy sensitivity" and "Buy Finetune" provided to adjust entry points.
// Two adjustable parameter "Sell sensitivity" and "Sell Finetune" provided to adjust Exit points.

_SECTION_BEGIN("Background");
SetChartOptions(0,chartShowArrows|chartShowDates);
if( ParamToggle("Tooltip shows", "All Values|Only Prices" ) )
{
 ToolTip=StrFormat("Open: %g\nHigh:  %g\nLow:   %g\nClose:  %g
(%.1f%%)\nVolume: "+NumToStr( V, 1 ), O, H, L, C, SelectedValue( ROC( C, 1
)));
}

SetChartBkColor(ParamColor("Outer panel color ",colorBlack)); // color of outer border
SetChartBkGradientFill( ParamColor("Inner panel color upper half",colorDarkTeal),
    ParamColor("Inner panel color lower half",colorBlack)); //color of inner panel
_SECTION_END();

_SECTION_BEGIN("KAMA System");

SetChartOptions(0,chartShowArrows|chartShowDates);
Title = ("KAMA SYSTEM - " + Name()+"  " + Date() +"  "+Interval(2) +"  "+ EncodeColor(colorLime)+",Open "+Open +" ,High "+H+" ,Low "+L+" ,Close "+C+" "+"{{VALUES}}");


//{{VALUES}}"+ O+ H+ L+C);


//_N(Title =StrFormat("{{Name}} - {{Interval}} {{Date}} Open %g, Hi %g, Lo %g, Close %g (%.1f%%) {{VALUES}}", O, H, L, C, SelectedValue( ROC( C, 1 ) ) ));


// Buy adjustments
bs=Param("BUY Sensitivity",3,2,20,1);
bf=Param("BUY Finetune",2,0.1,20,0.1);
// Sell Adjustments
ss=Param("SELL Sensitivity",3,2,20,1);
sf=Param("SELL Finetune",1,0.1,20,0.1);
//stock selection parameters
MyCL = Param( "CL", 10, 10, 100, 10 );
MyVK = Param( "VK", 30, 10, 100, 10 );
MyTL = Param( "TL", 300, 100, 1000, 100 );
//stock selection
//TLM = EMA(C*V/100000,100) ;
//include = C> MyCL AND V/1000> MyVK AND C*V/100000 > MyTL AND TLM > 0.333 * MyTL ;

// common
fast = 2/(2+1);
slow = 2/(30+1);
//BUY part
dirb=abs(Close-Ref(Close,-bs));
volb=Sum(abs(Close-Ref(Close,-1)),bs);
ERb=dirb/volb;
scb =( ERb*(fast-slow)+slow)^2;
xb = AMA( C, scb );
flb=bf*StDev(xb-Ref(xb,-1),20);
j=xb-Ref(xb,-3);


//SELL part
dirs=abs(Close-Ref(Close,-ss));
vols=Sum(abs(Close-Ref(Close,-1)),ss);
ERs=dirs/vols;
scs =( ERs*(fast-slow)+slow)^2;
xs = AMA( C, scs );
fls=sf*StDev(xs-Ref(xs,-1),20);
k=Ref(Xs,-3)-Xs;

Buy=Cross(j,flb) ;
Sell=Cross(k,fls);
mycolor=IIf(C>xb,colorLime,colorRed);
Plot( C, "Close", mycolor,styleNoTitle | styleBar|styleThick   );
Plot(xb,"KAMA-BUY",colorYellow,1);
Plot(xs,"KAMA-SELL",colorOrange,1);
Buy = ExRem(Buy,Sell);
Sell = ExRem(Sell,Buy);

shape = Buy * shapeUpArrow +Sell * shapeDownArrow ;

PlotShapes( shape, IIf( Buy, colorGreen, colorYellow ),0, IIf( Buy, Low, High ) );

GraphXSpace = 5;
dist = 1.5*ATR(20);

for( i = 0; i < BarCount; i++ )
{
if( Buy[i] ) PlotText( "Buy\n@" + C[ i ], i, L[ i ]-dist[i], colorLime );
if( Sell[i] ) PlotText( "sell\n@" + C[ i ], i, L[ i ]+dist[i], colorYellow );
}
Filter= Buy OR Sell;

PositionScore=100/C;
PositionSize = - 20;
SetBarsRequired(10000, 10000);
SetFormulaName("KAMA System");

_SECTION_END();

_SECTION_BEGIN("IIR2");
// IIR2.afl
//
// Documentation to describe what the function does.
// Second order smoother
// the function statement
function IIR2( input, f0, f1, f2 )
// the function body
{
result[ 0 ] = input[ 0 ];
result[ 1 ] = input[ 1 ];
for( i = 2; i < BarCount; i++ )
{
result[i] = f0 * input[i] + f1 * result[i-1] + f2 * result[i-2];
}
// the function returns a single value and exits.
return result;
}
// The routine that calls the function.
SmoothedClose = IIR2(Close, 0.2, 1.4, -0.6 );
//Plot( Close, "Price", 2, styleCandle );
Plot( SmoothedClose, "function example", colorRed );
//Figure 8.1 IIR2
_SECTION_END();

_SECTION_BEGIN("GSMA");
SetBarsRequired(100000,0);
PI = 3.1415926;

function jIIR2( input, f0, f1, f2 )
{
    result[ 0 ] = input[ 0 ];
    result[ 1 ] = input[ 1 ];

    for( i = 2; i < BarCount; i++ )
    {
       result[ i ] = f0 * input[ i ] +
                     f1 * result[ i - 1 ] +
                     f2 * result[ i - 2 ];
    }

   return result;
}

function GSMA( input, Period )
{
  N = 0;
  an = 2 * PI / Period;
  c0 = b0 = 1;
  c1 = b1 = b2 = a1 = a2 = gamma1 = 0;
  beta1 = 2.415 * ( 1- cos( an ) );
  alpha = -beta1 + sqrt( beta1 ^ 2 + 2 * beta1 );
  alpha1 = ( cos( an ) + sin( an ) - 1 )/cos( an );
   {
    fo = alpha ^ 2;
    f1 = 2 * ( 1- alpha ); f2 = -( 1 - alpha )*( 1 - alpha );
  }
 

  return jIIR2( input, fo,f1,f2);
}
period=Param("period",13,1,40,1);

//Plot( Close, "Price", colorBlack, styleCandle );
Plot( GSMA( C,period), "GSMA", colorLime );

//  Linear Regression Line with 2 Standard Deviation Channels Plotted Above and Below
//  Written by Patrick Hargus, with critical hints from Marcin Gorzynski, Amibroker.com Technical Support
//      Designed for use with AB 4.63 beta and above, using drag and drop feature. 
//  Permits plotting a linear regression line of any price field available on the chart for a period determined by the user. 
//     2 Channels, based on a standard deviation each determined by the user, are plotted above and below the linear regression line.
//         A look back feature is also provided for examining how the indicator would have appeared on a chart X periods in the past.   


P = ParamField("Price field",-1);
Daysback = Param("Period for Liner Regression Line",21,1,240,1);
shift = Param("Look back period",0,0,240,1);


//  =============================== Math Formula =============================================================

x = Cum(1);
lastx = LastValue( x ) - shift;
aa = LastValue( Ref(LinRegIntercept( p, Daysback), -shift) );
bb = LastValue( Ref(LinRegSlope( p, Daysback ), -shift) );
y = Aa + bb * ( x - (Lastx - DaysBack +1 ) );


// ==================Plot the Linear Regression Line ==========================================================


LRColor = ParamColor("LR Color", colorCycle );
LRStyle = ParamStyle("LR Style");

LRLine =  IIf( x > (lastx - Daysback) AND BarIndex() < Lastx, y, Null );
Plot( LRLine , "LinReg", LRCOLOR, LRSTYLE ); //  styleDots );

// ==========================  Plot 1st SD Channel ===============================================================

SDP = Param("Standard Deviation", 1.5, 0, 6, 0.1);
SD = SDP/2;

width = LastValue( Ref(SD*StDev(p, Daysback),-shift) );   // THIS IS WHERE THE WIDTH OF THE CHANELS IS SET 
SDU = IIf( x > (lastx - Daysback) AND BarIndex() < Lastx, y+width , Null ) ;
SDL = IIf( x > (lastx - Daysback) AND BarIndex() < Lastx, y-width , Null ) ;

SDColor = ParamColor("SD Color", colorCycle );
SDStyle = ParamStyle("SD Style");

Plot( SDU , "Upper Lin Reg", SDColor,SDStyle );
Plot( SDL , "Lower Lin Reg", SDColor,SDStyle );

//  ==========================  Plot 2d SD Channel ===============================================================

SDP2 = Param("2d Standard Deviation", 2.0, 0, 6, 0.1);
SD2 = SDP2/2;

width2 = LastValue( Ref(SD2*StDev(p, Daysback),-shift) );   // THIS IS WHERE THE WIDTH OF THE CHANELS IS SET 
SDU2 = IIf( x > (lastx - Daysback) AND BarIndex() < Lastx, y+width2 , Null ) ;
SDL2 = IIf( x > (lastx - Daysback) AND BarIndex() < Lastx, y-width2 , Null ) ;

SDColor2 = ParamColor("2 SD Color", colorCycle );
SDStyle2 = ParamStyle("2 SD Style");

Plot( SDU2 , "Upper Lin Reg", SDColor2,SDStyle2 );
Plot( SDL2 , "Lower Lin Reg", SDColor2,SDStyle2 );

// ============================ End Indicator Code ==============================================================

_SECTION_BEGIN("Nuevo 4");
percent  = 0.01 * 1; /* Adjust this percent as necessary,  */
firstpointL = 2;
firstpointH = 2;

y0=LastValue(Trough(L,percent,firstpointL));
y1=LastValue(Trough(Ref(L,-1),percent,1));

for( i = 1; i < BarCount AND y0 >= y1; i++ )
{
     
      firstpointL++;  
      y0=LastValue(Trough(L,percent,firstpointL));      
}

x0=BarCount - 1 - LastValue(TroughBars(L,percent,firstpointL));
x1=BarCount - 1 - LastValue(TroughBars(Ref(L,-1),percent,1));
LineL = LineArray( x0, y0, x1, y1, 1 );
/*
Plot(C, "C", colorBlack, styleCandle);
*/
Plot( LineL, " Support Trend line", colorGreen,4 +8 );


yt0=LastValue(Peak(H,percent,firstpointH));
yt1=LastValue(Peak(Ref(H,-1),percent,1));

for(i = 1; i < BarCount AND yt0 <= yt1; i++ )
{
     
      firstpointH++;     
      yt0=LastValue(Peak(H,percent,firstpointH));
}
xt0=BarCount - 1 - LastValue(PeakBars(H,percent,firstpointH));
xt1=BarCount - 1 - LastValue(PeakBars(Ref(H,-1),percent,1));
LineH = LineArray( xt0, yt0, xt1, yt1, 1 );

Plot( LineH, "Resistance Trend line", colorBrown,4 + 8 );
_SECTION_END();

_SECTION_BEGIN("Elliot 2");
//-- Script Start -------
Option = ParamToggle("Insert To", "Price Chart|Indicator");

pr=Param("Elliot Wave minimum % move",2, 0.001,100);

//{ Beginner Elliot Wave stuff }
EWpk=PeakBars(H,pr)==0;
EWtr=TroughBars(L,pr)==0;

//{ Intermediate Elliot Wave stuff }
zz=Zig(C,pr);
zzHi=Zig(H,pr);
zzLo=Zig(L,pr);
Avg=(zzHi+zzLo)/2;

//{ Advanced Elliot Wave stuff }
RetroSuccessSecret=IIf(EWpk,zzHi,
                     IIf(EWtr,zzLo,IIf(Avg>Ref(Avg,-1),H,L)));
EW=Zig(RetroSuccessSecret,pr);

//{ Plot on price chart }
if (Option==0)
 Plot(EW, "EW", ParamColor("Color", colorBrown), ParamStyle("Style", styleNoLabel|styleThick));
else
{

//{ Buy/Sell Elliot Wave stuff }
EWbuy=TroughBars(EW,pr)==0;
EWsell=PeakBars(EW,pr)==0;

//{ Plot on own window }
Plot(EWbuy-EWsell, "EW2", ParamColor("Color", colorRed), ParamStyle("Style", styleNoLabel|styleThick));

}
//-- Script End   -------
_SECTION_END();

_SECTION_BEGIN("Elliot_Fractals");

/*
The basic definition of an 'up' fractal is a bar high that is both higher than the two bars immediately preceding it
and higher than the two bars immediately following it.
The lows of the bars are NOT considered in determining the up fractal progression.

If two bars in the progression have equal highs followed by two consecutive bars with lower highs,
then a total of six bars rather than the usual five bars will make up the progression.
The first High becomes the counting fractal. Reverse for 'down' fractals.

The 5 bar formation works best on Daily or longer time frame charts.For intraday data charts we often use 9 bar, 13 bar and 21 bar formations for fractal counting
*/
Up5BarFractal = Ref(H,-2) < H AND Ref(H,-1) < H AND Ref(H,1) < H AND Ref(H,2) < H;
Up6BarFractal = Ref(H,-2) < H AND Ref(H,-1) < H AND (H == Ref(H,1)) AND Ref(H,2) < H AND Ref(H,3) < H;
Down5BarFractal = Ref(L,-2) > L AND Ref(L,-1) > L AND Ref(L,1) > L AND Ref(L,2) > L;
Down6BarFractal = Ref(L,-2) > L AND Ref(L,-1) > L AND (L == Ref(L,1)) AND Ref(L,2) > L AND Ref(L,3) > L;

//TODO: More filtering: Show only troughs that are around atrough in trix(9).

PlotShapes( IIf(Down5BarFractal ,shapeSmallUpTriangle,0) ,colorBlack, 0, L,-12);
PlotShapes( IIf(Down6BarFractal ,shapeSmallUpTriangle,0) ,colorBlack, 0, L,-12);

PlotShapes( IIf(Up5BarFractal ,shapeSmallDownTriangle,0) ,colorBlack, 0, H,-12);
PlotShapes( IIf(Up6BarFractal ,shapeSmallDownTriangle,0) ,colorBlack, 0, H,-12);

Up = (Up5BarFractal OR Up6BarFractal);
Down = (Down5BarFractal OR Down6BarFractal);
//Removing false fractals:
DownSignal = Flip(Ref(Up,-1), Ref(Down,-1));
UpSignal = Flip(Ref(Down,-1), Ref(Up,-1));

LastHigh[0] = H[0];
LastLow[0] = L[0];

LastLowIndex = 0;
LastHighIndex = 0;
Valid = 0;
for (i=1; i < BarCount; i++)
{

    LastHigh[i] = LastHigh[i-1];
    LastLow[i] = LastLow[i-1];
    if (Up[i])
    {                               
         Valid[i] = True;
         if (DownSignal[i])
        {
            //Sequence of 2 Up Fractals. Validate only the higher one.
            Valid[i] = H[i] >= H[LastHighIndex];
            Valid[LastHighIndex] = H[LastHighIndex] >  H[i];
        }
        LastHigh[i] = Max(H[i], H[LastHighIndex ]);   
        LastHighIndex = i;   
    }

    if (Down[i])
    {   
         Valid[i] = True;
        if (UpSignal[i])
        {
            //Sequence of 2 Down Fractals. Validate only the lower one.
            Valid[i] = L[i] <= L[LastLowIndex];
            Valid[LastLowIndex] = L[LastLowIndex] <  L[i];
        }
   
        LastLow[i] = Min(L[i], L[LastLowIndex]);
        LastLowIndex = i;       
    }   
}

TrixN = Trix(9);
TroughLow = Ref(TrixN, -3) > TrixN AND Ref(TrixN, -2) > TrixN AND Ref(TrixN, -1) > TrixN AND Ref(TrixN, 1) > TrixN AND Ref(TrixN, 2) > TrixN AND Ref(TrixN, 3) > TrixN;
TroughHigh = Ref(TrixN, -3) < TrixN AND Ref(TrixN, -2) < TrixN AND Ref(TrixN, -1) < TrixN AND Ref(TrixN, 1) < TrixN AND Ref(TrixN, 2) < TrixN AND Ref(TrixN, 3) < TrixN;
//TroughLow = Ref(TrixN, -2) > TrixN AND Ref(TrixN, -1) > TrixN AND Ref(TrixN, 1) > TrixN AND Ref(TrixN, 2) > TrixN;
//TroughHigh = Ref(TrixN, -2) < TrixN AND Ref(TrixN, -1) < TrixN AND Ref(TrixN, 1) < TrixN AND Ref(TrixN, 2) < TrixN;
ZeroValid = Cross(TrixN, 0) OR Cross(0, TrixN) OR Ref(Cross(TrixN, 0),1) OR Ref(Cross(0, TrixN),1);
ValidLow = TroughLow OR Ref(TroughLow, 1) OR Ref(TroughLow, 2) OR Ref(TroughLow, 3) OR Ref(TroughLow, 4);// OR Ref(TroughLow, 5));
ValidHigh = TroughHigh OR Ref(TroughHigh, 1) OR Ref(TroughHigh, 2) OR Ref(TroughHigh, 3) OR Ref(TroughHigh, 4);// OR Ref(TroughHigh, 5));

//Plot(LastHigh-10 ,"LastHigh", colorBlue, styleLine);
//Plot(LastLow-10 ,"LastLow ", colorRed, styleLine);
//Plot(Valid*5 + 10 ,"LastLow ", colorGreen, styleLine | styleThick);

//PlotShapes( IIf(Down AND Valid,shapeSmallUpTriangle,0) ,colorGreen, 0, L,-12);
//PlotShapes( IIf(Up AND Valid,shapeSmallDownTriangle,0) ,colorRed, 0, H,-12);
Maxi = Up AND (ValidHigh OR ZeroValid);
Mini = Down AND (ValidLow OR ZeroValid);
PlotShapes( IIf(Down AND (ValidLow OR ZeroValid),shapeSmallUpTriangle,0) ,colorBlue, 0, L,-12);
PlotShapes( IIf(Up AND (ValidHigh OR ZeroValid),shapeSmallDownTriangle,0) ,colorOrange, 0, H,-12);
//Plot(UpSignal*3+5,"UpSignal", colorBlue, styleLine| styleThick);
//Plot(DownSignal*3 ,"DownSignal", colorRed, styleLine| styleThick);

/*
LastMaxi = 0;
LastMini = 0;
ElliotLines = 0;
State = 0;
for (i=1; i < BarCount; i++)
{
    State[i] = State[i-1];
    if (Maxi[i])
    {       
        State[i] = 1;//down
    }

    if (Mini[i])
    {       
        State[i] = 2;
    }

}

PlotShapes(IIf(State > 0, shapeSmallCircle, 0), IIf(State == 1, colorRed, colorBlue), 0, IIf(State == 1, H, L), -5);
*/
//Line = LineArray( x0, y0, x1, y1, 1 );
//Plot( Line, "Trend line", colorBlue );

/*
Wave B
Usually 50% of Wave A
Should not exceed 75% of Wave A
Wave C
either 1 x Wave A
or 1.62 x Wave A
or 2.62 x Wave A
*/
function CorrectiveRatios(StartPrice, A, B, C, RatioDelta, Delta)
{
   
    ALength = abs(startPrice - A);    BLength = abs(A-B);
    CLength = abs(B-C);

    Ratio1 = BLength  / CLength ;
    Cond1 = Ration1 >= 0.5 - RatioDelta AND ratio1 <= 0.75 + RatioDelta;
    Cond2 = abs(Clength - ALength) < Delta  OR abs(Clength - 1.62 * ALength) < Delta OR abs(CLength - 2.62 * ALength) < Delta;
   
    return Cond1 AND Cond2;
}

function ImpulseRules(StartPrice, One, Two, Three, Four, Five)
{
    //Wave 2 should be beneath wave 1 start:
    Cond1 = Two > StartPrice AND Two < One;
    //Wave 4 - the same:
    Cond2 = Four > Two AND Four < Three;
    //Wave 5 should be <= wave 3
    Cond3 = abs(Three-Two) >= abs(Five - Four);
    //Wave 1 should be smaller than wave five, making wave 3 the biggest:
    Cond4 = abs(StartPrice - One) < abs(Five - Four);
    return Cond1 AND Cond2 AND Cond3 AND Cond4;
}
_SECTION_END();

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