Sigmoidal normalized T3

ÿþ//+------------------------------------------------------------------

#property copyright   "© mladen, 2018"

#property link        "mladenfx@gmail.com"

#property description "Log sigmoidal normalized T3"

//+------------------------------------------------------------------

#property indicator_separate_window

#property indicator_buffers 3

#property indicator_plots   1

#property indicator_label1  "T3"

#property indicator_type1   DRAW_COLOR_LINE

#property indicator_color1  clrDarkGray,clrLimeGreen,clrCrimson

#property indicator_width1  2

//--- input parameters

enum enT3Type

  {

   t3_tillson, // Tim Tillson way of calculation

   t3_fulksmat // Fulks/Matulich way of calculation

  };

input int                inpPeriod              = 20;          // T3 period

input double             inpHot                 = 0.7;         // T3 "hot"

input enT3Type           inpType                = t3_tillson;  // T3 type

input ENUM_APPLIED_PRICE inpPrice               = PRICE_CLOSE; // Price

input int                inpNormalizeLength     = 30;          // Normalization length

input bool               inpNormalizeHyperbolic = false;       // Hyperbolic normalization?

//--- buffers and global variables declarations

double val[],valc[],values[];

//+------------------------------------------------------------------+

//| Custom indicator initialization function                         |

//+------------------------------------------------------------------+

int OnInit()

  {

//--- indicator buffers mapping

   SetIndexBuffer(0,val,INDICATOR_DATA);

   SetIndexBuffer(1,valc,INDICATOR_COLOR_INDEX);

   SetIndexBuffer(2,values,INDICATOR_CALCULATIONS);

//---

   IndicatorSetString(INDICATOR_SHORTNAME,"Log sigmoidal normalized T3 ("+(string)inpPeriod+")");

   return (INIT_SUCCEEDED);

  }

//+------------------------------------------------------------------+

//| Custom indicator de-initialization function                      |

//+------------------------------------------------------------------+

void OnDeinit(const int reason)

  {

  }

//+------------------------------------------------------------------+

//| Custom indicator iteration function                              |

//+------------------------------------------------------------------+

int OnCalculate(const int rates_total,

                const int prev_calculated,

                const datetime &time[],

                const double &open[],

                const double &high[],

                const double &low[],

                const double &close[],

                const long &tick_volume[],

                const long &volume[],

                const int &spread[])

  {

   if(Bars(_Symbol,_Period)<rates_total) return(prev_calculated);

   int i=(int)MathMax(prev_calculated-1,0); for(; i<rates_total && !_StopFlag; i++)

     {

      values[i] = iT3(getPrice(inpPrice,open,close,high,low,i,rates_total),inpPeriod,inpHot,inpType==t3_tillson,i,rates_total);

         

      //

      //---

      //

               

      double mean      = iSma(values[i],inpNormalizeLength,i,rates_total);

      double deviation = iDeviation(values[i],inpNormalizeLength,i,rates_total);

      double zeroMean  = 0;

         if (deviation != 0) zeroMean = (values[i]-mean)/deviation;

            val[i] = (inpNormalizeHyperbolic) ? (1.0-MathExp(-zeroMean))/(1.0+MathExp(-zeroMean)) : 1.0/(1.0+MathExp(-zeroMean));

            valc[i] = (i>0) ?(val[i]>val[i-1]) ? 1 :(val[i]<val[i-1]) ? 2 : valc[i-1]: 0;

     }

   return (i);

  }

//+------------------------------------------------------------------+

//| Custom functions                                                 |

//+------------------------------------------------------------------+

#define _t3Instances     1

#define _t3InstancesSize 6

double workT3[][_t3Instances*_t3InstancesSize];

double workT3Coeffs[][6];

#define _period 0

#define _c1     1

#define _c2     2

#define _c3     3

#define _c4     4

#define _alpha  5

//

//---

//

double iT3(double price,double period,double hot,bool original,int r,int bars,bool copy=false,int instanceNo=0)

  {

   if(ArrayRange(workT3,0)!=bars) ArrayResize(workT3,bars);

   if(ArrayRange(workT3Coeffs,0)<(instanceNo+1)) ArrayResize(workT3Coeffs,instanceNo+1);

   if(workT3Coeffs[instanceNo][_period]!=period)

     {

      workT3Coeffs[instanceNo][_period]=period;

      workT3Coeffs[instanceNo][_c1] = -hot*hot*hot;

      workT3Coeffs[instanceNo][_c2] = 3*hot*hot+3*hot*hot*hot;

      workT3Coeffs[instanceNo][_c3] = -6*hot*hot-3*hot-3*hot*hot*hot;

      workT3Coeffs[instanceNo][_c4] = 1+3*hot+hot*hot*hot+3*hot*hot;

      if(original)

         workT3Coeffs[instanceNo][_alpha]=2.0/(1.0+period);

      else workT3Coeffs[instanceNo][_alpha]=2.0/(2.0+(period-1.0)/2.0);

     }

   //---

   int buffer=instanceNo*_t3InstancesSize;

   for(int k=0; k<6; k++) workT3[r][k+buffer]=(r>0) ? workT3[r-1][k+buffer]: price;

   if(!copy && r>0 && period>1)

     {

      workT3[r][0+buffer] = workT3[r-1][0+buffer]+workT3Coeffs[instanceNo][_alpha]*(price              -workT3[r-1][0+buffer]);

      workT3[r][1+buffer] = workT3[r-1][1+buffer]+workT3Coeffs[instanceNo][_alpha]*(workT3[r][0+buffer]-workT3[r-1][1+buffer]);

      workT3[r][2+buffer] = workT3[r-1][2+buffer]+workT3Coeffs[instanceNo][_alpha]*(workT3[r][1+buffer]-workT3[r-1][2+buffer]);

      workT3[r][3+buffer] = workT3[r-1][3+buffer]+workT3Coeffs[instanceNo][_alpha]*(workT3[r][2+buffer]-workT3[r-1][3+buffer]);

      workT3[r][4+buffer] = workT3[r-1][4+buffer]+workT3Coeffs[instanceNo][_alpha]*(workT3[r][3+buffer]-workT3[r-1][4+buffer]);

      workT3[r][5+buffer] = workT3[r-1][5+buffer]+workT3Coeffs[instanceNo][_alpha]*(workT3[r][4+buffer]-workT3[r-1][5+buffer]);

     }

   return(workT3Coeffs[instanceNo][_c1]*workT3[r][5+buffer] +

          workT3Coeffs[instanceNo][_c2]*workT3[r][4+buffer]+

          workT3Coeffs[instanceNo][_c3]*workT3[r][3+buffer]+

          workT3Coeffs[instanceNo][_c4]*workT3[r][2+buffer]);

  }

//

//---

//  

double workSma[][1];

double iSma(double price, int period, int r, int _bars, int instanceNo=0)

{

   if (ArrayRange(workSma,0)!= _bars) ArrayResize(workSma,_bars);



   workSma[r][instanceNo+0] = price;

   double avg = price; int k=1;  for(; k<period && (r-k)>=0; k++) avg += workSma[r-k][instanceNo+0];  

   return(avg/(double)k);

}  

//

//---

//  

double workDev[];

//

//---

//

double iDeviation(double value,int length,int i,int bars,bool isSample=false)

  {

   if(ArraySize(workDev)!=bars) ArrayResize(workDev,bars);  workDev[i]=value;

   double sumx=0,sumxx=0; for(int k=0; k<length && (i-k)>=0; sumx+=workDev[i-k],sumxx+=workDev[i-k]*workDev[i-k],k++) {}

   return(MathSqrt((sumxx-sumx*sumx/length)/MathMax(length-isSample,1)));

  }

//

//---

//

double getPrice(ENUM_APPLIED_PRICE tprice,const double &open[],const double &close[],const double &high[],const double &low[],int i,int _bars)

  {

   switch(tprice)

     {

      case PRICE_CLOSE:     return(close[i]);

      case PRICE_OPEN:      return(open[i]);

      case PRICE_HIGH:      return(high[i]);

      case PRICE_LOW:       return(low[i]);

      case PRICE_MEDIAN:    return((high[i]+low[i])/2.0);

      case PRICE_TYPICAL:   return((high[i]+low[i]+close[i])/3.0);

      case PRICE_WEIGHTED:  return((high[i]+low[i]+close[i]+close[i])/4.0);

     }

   return(0);

  }

//+------------------------------------------------------------------+