//------------------------------------------------------------------------------
//
//  Formula Name:    Williams Alligator system
//------------------------------------------------------------------------------
//
//  This code attempts to do most of the Williams Alligator sytem
//
//  where the terms fractal up and fractal down are used. Along
//
//  with terms like Alligators month, lips, etc.
//
//  To get a real picture of this go to the web site
//
//  www.profitunity.com and download the demo software
//
//  Investors Dream and see how this code compares.
//
//  You really need to read the book to get a picture of
//
//  what is going on. This is a good read. You can
//
//  get the Williams books on his web site as will. You
//
//  only need the latest one.
//
//------------------------------------------------------------------------------

/* The first set of lines are to set up the color coding for
the price bars */

a = (H+L)/2;
outsidebar = outside();
insidebar = H <= Ref(H,-1) and L >= Ref(L,-1);
upbar = H > ref(H,-1) and L >= ref(L, -1);
downbar = L < ref(L,-1) and H <= ref(H,-1);
barcolor=iif(outsidebar, 1, iif(downbar, 4, iif(upbar,5, 6) ) );

/*The following builds the alligator lines*/
maxGraph=12;
AlligatorBlue=Ref(Wilders(A,13),-8);
Graph0=AlligatorBlue;
AlligatorRed=Ref(Wilders(A,8),-5);
Graph1=AlligatorRed;
AlligatorGreen=Ref(Wilders(A,5),-3);
Graph2=AlligatorGreen;
Graph0Style=Graph1Style=Graph2Style=1+4;

Graph3=C;  
Graph3Style=64; 

/*Red:* modified for Amibroker*/


/*
Graph3Color=22;  22 is the number for dark green
*/

Graph3barcolor=barcolor;

Graph2Color=27; /* 6 is green */
Graph1Color=5;  /* 5 is red color */
Graph0color=7;  /* 7 is dark blue */
/*The following builds Fractal Up*/
var1=ValueWhen(
  (Ref(H,-2) > Ref(H, -4)) AND
  (Ref(H,-2) > Ref(H, -3)) AND
  (Ref(H,-2) > Ref(H, -1)) AND
  (Ref(H,-2) > H), Ref(H,-2),1); 
FractalUp=HighestSince(var1>0,var1,1);
Graph4=FractalUp;
Graph4Color=3;  /* 6 is green */
Graph4Style=9;
/*The following builds Fractal Down*/
var2= 
(Ref(L,-2) <= Ref(L, -1)) AND
(Ref(L,-2) <= Ref(L, 0)) AND
(Ref(L,-2) <= Ref(L, -3)) AND
(Ref(L,-2) <= Ref(L, -4));
FractalDown=ValueWhen( var2,Ref(L,-2),1);
Graph5=FractalDown;
Graph5Style=1;
Graph5Color=8;  /* red is 5 blue is 7 */
Graph5Style=9;
/*
Graph6=ma(c,17);
graph7=ma(c,50);
graph8=ma(c,200);
graph6Style=Graph7Style=graph8Style=12;
*/

/* Below are the buy sell signals for testing */

buy = cross(H,FractalUp+0.065)  
            and  (C > AlligatorRed)                ;  

Sell= A < AlligatorGreen 
        or    (ref(C,-2) < FractalUp 
        and (ref(C,-1)<ref(C,-2) )        )             ;



/* The following is Guru commentary coding  */
/* Guru Commentary */

WriteIF(Hold(Buy==1,10),
    "Buy signal bars ago  " +   WriteIF(Hold(Buy==1,10),
    WriteVal(BarsSince(Buy==1)),""),
    "No Buy Signal")  + "\n" +
WriteIF(Hold(Sell==1,10),
    "Sell signal bars ago  " +   WriteIF(Hold(Sell==1,10),
    WriteVal(BarsSince(Sell==1)),""),
    "No Sell Signal")  ; 

/* End of commentary code */

/* The following lines of code set up a sell on the last day if in an open position*/
barnumber = cum( 1 );
lastbar = barnumber == lastvalue( barnumber );
sell = SELL or LASTBAR;

filter = cross(H,FractalUp+0.065)  or Cross(L,FractalDown-0.065) ;  

numcolumns = 5;
column0 = IIF(buy==1,1,-1);
column0format = 1.2;
column0name = "Buy+1,Sell-1";WriteIF(Buy==1,"  Buy","  Sell" );
column1 = FractalUp;
column1name = "FractalUp";column1 = FractalUp; WriteVal(FractalUp);
column1format = 1.2;

column2 = FractalDown;
column2name = "Fractal Down";
column2format = 1.2;
column3 = MA(V,3)/EMA(V,17);
column3name = "MAV(3/17)";
column3format=1.2;
column4 = C;
column4name = "Today's Close "; 
column4format=1.2;


/* removes redundant buy and sell signals */
Buy=ExRem(Buy,Sell);
Sell=ExRem(Sell,Buy);


first=1;  

/* First is the number of days for each ROC interval for reviewing performance */
/* To use this filter always make the current day at least 3*first days before the current date
    for meaningful results */
/*
numcolumns = 7;
column0 = C;
column0format = 1.2;
column0name = "Close";
column1 = ref(C, 1+first);
column1name = "Close+i ";
column1format = 1.2;
column2 = ref(C,1+first*2);
column2name = "Close+i*2   ";
column2format = 1.2;
column3 =  ref(C,1+first*3);
column3name = "Close+i*3 ";
column3format = 1.2;
column4= ref(C,first*1+1)  -  C;
column4name="ROC+i";
column4format = 1.2;
column5=  ref(C,first*2+1)  -  C;
column5name="ROC+2i";
column5format = 1.2;
column6=  ref(C,first*3+1)  -  C;
column6name="ROC+3i";
column6format = 1.2;
*/
/*  End of Exploration Code. */