Demark_trend_new

Download script
Author: GreenDog
Demark_trend_new

This script is a specialized technical analysis tool designed for the MetaTrader platform. It automates the identification and visualization of price trends based on the DeMark Theory, which focuses on identifying structural "highs" and "lows" to determine market direction and potential reversal points.

Instead of simply drawing lines based on every price movement, the logic follows a specific set of rules to ensure only significant market turns are highlighted.

Core Logic & Functionality

1. Structural Point Identification (DeMark Highs/Lows) The script does not treat every peak or valley as important. It uses a recursive logic to filter the price data. A point is only considered a "DeMark High" or "DeMark Low" if it satisfies specific conditions relative to its neighbors (the number of bars on either side). This helps in filtering out "market noise" and focusing on the actual structural backbone of the price movement.

2. Trendline & Channel Construction Once significant highs and lows are identified, the script calculates the trajectory between them:

  • Trendlines: It draws lines connecting consecutive high points (for downtrends) or low points (for uptrends).
  • Channels: The logic identifies the "extremes" between two structural points. It then projects parallel lines to create a channel, helping traders visualize the boundaries of the current market movement.

3. Breakout Detection & Analysis The script actively monitors whether the price is breaking through established trendlines.

  • Visual Alerts: If a breakout occurs, it places specific icons (arrows) on the chart at the exact point of violation.
  • Verification: It doesn't just mark every touch; it analyzes whether the break was sustained or if the price reverted, providing a more nuanced view of "false" vs. "real" breakouts.

4. Dynamic Target Levels (Take Profits) Based on the geometry of the trend and the identified extremes, the script automatically calculates four different potential target levels for each move. These are calculated using specific ratios (such as the Fibonacci 1.618 level), allowing a user to see potential profit zones or areas of interest based on the current trend's strength.

5. On-Screen Data Feedback To keep the user informed without cluttering the chart, the script provides a real-time text summary in the corner of the screen. This includes:

  • The status of various visual components (Trendlines, Channels, etc.).
  • Specific price levels for identified targets.
  • "Hitch" codes, which provide a quick qualitative assessment of whether a breakout is considered "strong" or "weak" based on candle closing behavior and price action relative to the trendline.

User Customization

The logic allows the user to toggle specific features on or off, such as:

  • Showing/hiding Trendlines, Channels, or Target Levels.
  • Choosing whether to analyze only UpTrends, only DownTrends, or both.
  • Adjusting how many past bars of data are processed to find significant points.
Miscellaneous
Implements a curve of type %1
10 Views
0 Downloads
0 Favorites
Demark_trend_new 
//------------------------------------------------------------------/
// Èíäèêàòîð-ñîâåòíèê, îñíîâàíûé íà òåîðèè Äåìàðêà ñ äîïîëíåíèÿìè
// ×àñòü êîäà âçÿòà èç èíäèêàòîðà Ind-TD-DeMark-3-1.mq4 [Kara ©]
//------------------------------------------------------------------/
#property copyright "GreenDog" 
#property link      "krot@inbox.ru" // v2.3

#property indicator_chart_window 
#property indicator_buffers 2
#property indicator_color1 Red 
#property indicator_color2 Blue 

extern int showBars=200; // åñëè = 0, òî èíäþê îòîáðàæàåòñÿ äëÿ âñåãî ãðàôèêà
extern int LevDP=3; // óðîâåíü òî÷åê äåìàðêà; 2 = öåíòðàëüíûé áàð áóäåò âûøå(íèæå) 2õ áàðîâ ñëåâà è 2õ áàðîâ ñïðàâà
extern int qSteps=1; // êîëè÷åñòâî îòîáðàæàåìûõ øàãîâ, íå áîëåå 3õ
extern int BackStep=0; // êîëè÷åñòâî øàãîâ íàçàä
extern int startBar=0; // åñëè 0, òî ðåêîìåíäàöèè äëÿ òåêóùåãî áàðà, åñëè 1 - òî äëÿ ïðåäïîëàãàåìîãî ñëåäóþùåãî áàðà
extern bool TrendLine=true; // false = ëèíèé òðåíäà íå áóäåò
extern bool HorizontLine=true; // true = òî áóäóò ïðîðèñîâàíû óðîâíè ïðîáèòèÿ
extern bool ChannelLine=true; // true = ñòðîèòü ïàðàëåëüíî ëèíèÿì òðåíäà êàíàëû 
extern bool TakeLines=true; // true = òî ðèñóåì óðîâíè òåéêà
extern bool Comments=true; // true = áóäóò îòîáðàæàòüñÿ êîììåíòàðèè
extern int Trend=0; // 1 = òîëüêî äëÿ UpTrendLines, -1 = òîëüêî äëÿ DownTrendLines, 0 = äëÿ âñåõ TrendLines

double Buf1[]; 
double Buf2[]; 

string Col[]={"Êðàñíàÿ","Ñèíÿÿ","Ðîçîâàÿ","Ãîëóáàÿ","Êîðè÷íåâàÿ","Ñàëàòíàÿ"};
int ColNum[]={Red,DarkBlue,Coral,DodgerBlue,SaddleBrown,MediumSeaGreen};
int qPoint=0; // ïåðåìåííàÿ äëÿ íîðìàëèçàöèè öåíû

int qBars; double qTime=0; // ïåðåìåííûå äëÿ ëèêâèäàöèè ãëþêîâ ïðè çàãðóçêå

int init() 
  {
   qBars=Bars;
   qSteps=MathMin(3,qSteps);
   while (NormalizeDouble(Point,qPoint)==0)qPoint++;
   int code=161; string Rem="DLines © GameOver";
   IndicatorShortName(Rem); 
   SetIndexStyle(0,DRAW_ARROW); 
   SetIndexStyle(1,DRAW_ARROW); 
   SetIndexArrow(0,code); 
   SetIndexArrow(1,code); 
   SetIndexBuffer(0,Buf1); 
   SetIndexBuffer(1,Buf2); 
   SetIndexEmptyValue(0,0.0);
   SetIndexEmptyValue(1,0.0);
   SetIndexLabel(0,Rem); 
   SetIndexLabel(1,Rem); 
   return(0);
  } 

int deinit() {
   Comment("");
   ArrayInitialize(Buf1,0.0);
   ArrayInitialize(Buf2,0.0);
   for(int i=1;i<=LevDP;i++){
      ObjectDelete("HA_"+i);ObjectDelete("LA_"+i);
      ObjectDelete("HL_"+i);ObjectDelete("LL_"+i);
      ObjectDelete("HHL_"+i);ObjectDelete("HLL_"+i);
      ObjectDelete("HCL_"+i);ObjectDelete("LCL_"+i);
      for(int j=0;j<4;j++) {ObjectDelete("HTL_"+i+j);ObjectDelete("LTL_"+i+j);}
   }
}
  
int start(){
   if (qBars!=Bars){ deinit(); Sleep(1000); qBars=Bars; qTime=0; return(0);}
   if (qTime==Time[0]) return(0); qTime=Time[0]; // çàïóñêàåöà òîêà íà 1ì òèêå
   // çàïîëíèëè è îòîáðàçèëè òî÷êè äåìàðêà
   if (showBars==0) showBars=Bars-LevDP;
   for (int cnt=showBars;cnt>LevDP;cnt--) {
      Buf1[cnt]=DemHigh(cnt,LevDP);
      Buf2[cnt]=DemLow(cnt,LevDP);
   }
   
   string Comm;
   Comm="Ëèíèÿ òðåíäà["+On(TrendLine)+"]; Êàíàë ["+On(ChannelLine)+
   "]; Óðîâåíü ïðîáîÿ ["+On(HorizontLine)+"]; Öåëè ["+On(TakeLines)+"]\n";
   for(cnt=1;cnt<=qSteps;cnt++) Comm=Comm+(TDMain(cnt));
   Comm=Comm+"———— © GameOver ————";
   if (Comments==true) Comment(Comm);
   return(0); 
}

string TDMain(int Step){
   int H1,H2,L1,L2,qExt,i,col;
   double tmp,qTL,qLevel,HT[4],LT[4];
   bool isHitch;
   string Comm="»—»—» Øàã "+Step+" èç "+qSteps+" (BackStep "+BackStep+")\n",Text,Rem,qp;
   
   // äëÿ DownTrendLines
   if (Trend<=0){
      Comm=Comm+"» "+Col[Step*2-2]+" DownTrendLine ";
      col=ColNum[Step*2-2];
      H1=GetTD(Step+BackStep,Buf1);
      H2=GetNextHighTD(H1);
      qTL=(High[H2]-High[H1])/(H2-H1);
      qExt=Lowest(NULL,0,MODE_LOW,H2-H1-1,H1+1); // ëîêàëüíûé ìèíèìóì ìåæäó òî÷êàìè
      qLevel=High[H2]-qTL*(H2); if (Step+BackStep==1) qLevel=qLevel-qTL*startBar;
      if (H1<0 || H2<0) Comm=Comm+"íà ãðàôèêå íåäîñòàòî÷íî òî÷åê äëÿ ïîñòðîåíèÿ\n";
      else {
         Comm=Comm+"["+DoubleToStr(High[H2],qPoint)+"»"+DoubleToStr(High[H1],qPoint)+"]";
         Comm=Comm+"; Level "+DoubleToStr(qLevel,qPoint);
         if (Step+BackStep==1) {
            if (startBar>0) Comm=Comm+"; Future Bar "+UpHitch(-1,qLevel);
            else Comm=Comm+"; Last Bar "+UpHitch(startBar,qLevel);
         }
         Comm=Comm+"\n";
         // Àíàëèç - áûë ëè ïðîáîé òðåíäîâîé ëèíèè
         i=H1;isHitch=false;Text="";
         while(i>0 && isHitch==false){
            tmp=High[H2]-qTL*(H2-i);
            Rem="HA_"+Step;
            if (High[i]>tmp){
               qp=UpHitch(i,tmp);
               if (qp!=""){
                  isHitch=true;
                  Text=Text+"Èñò. "+DoubleToStr(tmp,qPoint)+" "+qp;
                  ObjectCreate(Rem,OBJ_ARROW,0,0,0,0,0);
                  ObjectSet(Rem,OBJPROP_COLOR,col);
                  ObjectSet(Rem,OBJPROP_PRICE1,Low[i]-Point);
                  ObjectSet(Rem,OBJPROP_TIME1,Time[i]);
                  ObjectSet(Rem,OBJPROP_ARROWCODE,241);
                  while(i>0){ // ïðîáîé îòìåíåí, åñëè ïîñëå ïðîáîÿ áûë íîâûé ëîó èëè çàêðûòèå íèæå
                     i--;
                     if (Low[i]<Low[qExt] || Close[i]<(Low[qExt]+(High[H1]-Low[qExt])*0.236)){
                        Text=Text+" (îòìåíåí)";
                        ObjectSet(Rem,OBJPROP_PRICE1,Low[i]-Point);
                        ObjectSet(Rem,OBJPROP_TIME1,Time[i]);
                        ObjectSet(Rem,OBJPROP_ARROWCODE,251);
                        break;
                     }
                  }
               }
               else { Text=Text+"Ëîæ. "+DoubleToStr(tmp,qPoint)+"; "; ObjectDelete(Rem);}
            }
            i--;
         }
         if (Text=="") Text="Ïðîáîÿ íå áûëî.";
         Comm=Comm+Text+"\n";
         // end analysis
         Rem="HL_"+Step; // ñîáñíî ëèíèÿ òðåíäà
         if (TrendLine){
            ObjectCreate(Rem,OBJ_TREND,0,0,0,0,0);
            ObjectSet(Rem,OBJPROP_TIME1,Time[H2]);ObjectSet(Rem,OBJPROP_TIME2,Time[H1]);
            ObjectSet(Rem,OBJPROP_PRICE1,High[H2]);ObjectSet(Rem,OBJPROP_PRICE2,High[H1]);
            ObjectSet(Rem,OBJPROP_COLOR,col);
            ObjectSet(Rem,OBJPROP_WIDTH,3-MathMin(2,Step));
         }    
         else ObjectDelete(Rem);
         Rem="HHL_"+Step; // óðîâåíü ïðîáîÿ ëèíèè òðåíäà
         if (HorizontLine && (Step+BackStep)==1){
            ObjectCreate(Rem,OBJ_HLINE,0,0,0,0,0);
            ObjectSet(Rem,OBJPROP_PRICE1,qLevel);
            ObjectSet(Rem,OBJPROP_COLOR,col);
         }
         else ObjectDelete(Rem);
         Rem="HCL_"+Step; // ëèíèÿ êàíàëà
         if (ChannelLine){
            ObjectCreate(Rem,OBJ_TREND,0,0,0,0,0);
            ObjectSet(Rem,OBJPROP_TIME1,Time[qExt]);ObjectSet(Rem,OBJPROP_TIME2,Time[0]);
            ObjectSet(Rem,OBJPROP_PRICE1,Low[qExt]);ObjectSet(Rem,OBJPROP_PRICE2,Low[qExt]-qTL*qExt);
            ObjectSet(Rem,OBJPROP_COLOR,col);
         }
         else ObjectDelete(Rem);
         Rem="HTL_"+Step; // ëèíèè öåëåé
         if (TakeLines){
            HT[3]=Low[qExt]+(High[H1]-Low[qExt])*1.618-qLevel; //  äîï óðîâåíü
            HT[0]=High[H2]-qTL*(H2-qExt)-Low[qExt];
            HT[1]=High[H2]-qTL*(H2-qExt)-Close[qExt];
            qExt=Lowest(NULL,0,MODE_CLOSE,H2-H1,H1);
            HT[2]=High[H2]-qTL*(H2-qExt)-Close[qExt];
            Comm=Comm+"Öåëè: ";
            for(i=0;i<4;i++){
               qTL=NormalizeDouble(qLevel+HT[i],qPoint);
               ObjectCreate(Rem+i,OBJ_HLINE,0,0,0,0,0);
               ObjectSet(Rem+i,OBJPROP_PRICE1,qTL);
               ObjectSet(Rem+i,OBJPROP_STYLE,STYLE_DOT);
               ObjectSet(Rem+i,OBJPROP_COLOR,col);
               Comm=Comm+DoubleToStr(qTL,qPoint)+" ("+DoubleToStr(HT[i]/Point,0)+"ï.) ";
             }
             Comm=Comm+"\n";
         }
         else {
            for(i=0;i<4;i++) ObjectDelete(Rem+i);
         }
      }
   }

   // äëÿ UpTrendLines
   if (Trend>=0){
      Comm=Comm+"» "+Col[Step*2-1]+" UpTrendLine ";
      col=ColNum[Step*2-1];
      L1=GetTD(Step+BackStep,Buf2);
      L2=GetNextLowTD(L1);
      qTL=(Low[L1]-Low[L2])/(L2-L1);
      qExt=Highest(NULL,0,MODE_HIGH,L2-L1-1,L1+1); // ëîêàëüíûé ìèíèìóì ìåæäó òî÷êàìè
      qLevel=Low[L2]+qTL*L2; if (Step+BackStep==1) qLevel=qLevel+qTL*startBar;
      if (L1<0 || L2<0) Comm=Comm+"íà ãðàôèêå íåäîñòàòî÷íî òî÷åê äëÿ ïîñòðîåíèÿ\n";
      else {
         Comm=Comm+"["+DoubleToStr(Low[L2],qPoint)+"»"+DoubleToStr(Low[L1],qPoint)+"]";
         Comm=Comm+"; Level "+DoubleToStr(qLevel,qPoint);
         if (Step+BackStep==1) {
            if (startBar>0) Comm=Comm+"; Future Bar "+DownHitch(-1,qLevel);
            else Comm=Comm+"; Last Bar "+DownHitch(startBar,qLevel);
         }
         Comm=Comm+"\n";
         // Àíàëèç - áûë ëè ïðîáîé òðåíäîâîé ëèíèè
         i=L1;isHitch=false;Text="";
         while(i>0 && isHitch==false){
            tmp=Low[L2]+qTL*(L2-i);
            Rem="LA_"+Step;
            if (Low[i]<tmp){
               qp=DownHitch(i,tmp);
               if (qp!=""){
                  isHitch=true;
                  Text=Text+"Èñò. "+DoubleToStr(tmp,qPoint)+" "+qp;
                  ObjectCreate(Rem,OBJ_ARROW,0,0,0,0,0);
                  ObjectSet(Rem,OBJPROP_COLOR,col);
                  ObjectSet(Rem,OBJPROP_PRICE1,Low[i]-Point);
                  ObjectSet(Rem,OBJPROP_TIME1,Time[i]);
                  ObjectSet(Rem,OBJPROP_ARROWCODE,242);
                  while(i>0){ // ïðîáîé îòìåíåí, åñëè ïîñëå ïðîáîÿ áûë íîâûé õàé èëè çàêðûòèå âûøå
                     i--;
                     if (High[i]>High[qExt] || Close[i]>High[qExt]-(High[qExt]-Low[L1])*0.236){
                        Text=Text+" (îòìåíåí)";
                        ObjectSet(Rem,OBJPROP_PRICE1,Low[i]-Point);
                        ObjectSet(Rem,OBJPROP_TIME1,Time[i]);
                        ObjectSet(Rem,OBJPROP_ARROWCODE,251);
                        break;
                     }
                  }
               }
               else { Text=Text+"Ëîæ. "+DoubleToStr(tmp,qPoint)+"; "; ObjectDelete(Rem);}
            }
            i--;
         }
         if (Text=="") Text="Ïðîáîÿ íå áûëî.";
         Comm=Comm+Text+"\n";
         // end analysis
         Rem="LL_"+Step; // ñîáñíî ëèíèÿ òðåíäà
         if (TrendLine==1) {
            ObjectCreate(Rem,OBJ_TREND,0,0,0,0,0);
            ObjectSet(Rem,OBJPROP_TIME1,Time[L2]);ObjectSet(Rem,OBJPROP_TIME2,Time[L1]);
            ObjectSet(Rem,OBJPROP_PRICE1,Low[L2]);ObjectSet(Rem,OBJPROP_PRICE2,Low[L1]);
            ObjectSet(Rem,OBJPROP_COLOR,col);
            ObjectSet(Rem,OBJPROP_WIDTH,3-MathMin(2,Step));
         }    
         else ObjectDelete(Rem);
         Rem="HLL_"+Step; // óðîâåíü ïðîáîÿ ëèíèè òðåíäà
         if (HorizontLine && (Step+BackStep)==1){
            ObjectCreate(Rem,OBJ_HLINE,0,0,0,0,0);
            ObjectSet(Rem,OBJPROP_PRICE1,qLevel);
            ObjectSet(Rem,OBJPROP_COLOR,col);
         }
         else ObjectDelete(Rem);
         Rem="LCL_"+Step; // ëèíèÿ êàíàëà
         if (ChannelLine){
            ObjectCreate(Rem,OBJ_TREND,0,0,0,0,0);
            ObjectSet(Rem,OBJPROP_TIME1,Time[qExt]);ObjectSet(Rem,OBJPROP_TIME2,Time[0]);
            ObjectSet(Rem,OBJPROP_PRICE1,High[qExt]);ObjectSet(Rem,OBJPROP_PRICE2,High[qExt]+qTL*qExt);
            ObjectSet(Rem,OBJPROP_COLOR,col);
         }
         else ObjectDelete(Rem);
         Rem="LTL_"+Step;
         if (TakeLines){ // ëèíèè öåëåé
            LT[3]=qLevel-High[qExt]+(High[qExt]-Low[L1])*1.618; // äîï óðîâåíü
            LT[0]=High[qExt]-qTL*(L2-qExt)-Low[L2];
            LT[1]=Close[qExt]-qTL*(L2-qExt)-Low[L2];
            qExt=Highest(NULL,0,MODE_CLOSE,L2-L1,L1);
            LT[2]=Close[qExt]-qTL*(L2-qExt)-Low[L2];
            Comm=Comm+"Öåëè: ";
            for(i=0;i<4;i++){
               qTL=NormalizeDouble(qLevel-LT[i],qPoint);
               ObjectCreate(Rem+i,OBJ_HLINE,0,0,0,0,0);
               ObjectSet(Rem+i,OBJPROP_PRICE1,qTL);
               ObjectSet(Rem+i,OBJPROP_STYLE,STYLE_DOT);
               ObjectSet(Rem+i,OBJPROP_COLOR,col);
               Comm=Comm+DoubleToStr(qTL,qPoint)+" ("+DoubleToStr(LT[i]/Point,0)+"ï.) ";
             }
            Comm=Comm+"\n";
         }
         else {
            for(i=0;i<4;i++) ObjectDelete(Rem+i);
         }
      }
   }
   return(Comm);
}

int GetTD(int P, double Arr[]){
   int i=0,j=0;
   while(j<P){ i++; while(Arr[i]==0){i++;if(i>showBars-2)return(-1);} j++;}
   return (i);         
}
int GetNextHighTD(int P){ 
   int i=P+1;
   while(Buf1[i]<=High[P]){i++;if(i>showBars-2)return(-1);}
   return (i);
}
int GetNextLowTD(int P){
   int i=P+1;
   while(Buf2[i]>=Low[P] || Buf2[i]==0){i++;if(i>showBars-2)return(-1);}
   return (i);
}
// ðåêóðñèâíàÿ ïðîâåðêà íà óñëîâèÿ Äåìàðêà (õàé), âîçâðàùàåò çíà÷åíèå èëè 0
double DemHigh(int cnt, int sh){
   if (High[cnt]>=High[cnt+sh] && High[cnt]>High[cnt-sh]) {
      if (sh>1) return(DemHigh(cnt,sh-1));
      else return(High[cnt]);
   }
   else return(0);
}
// ðåêóðñèâíàÿ ïðîâåðêà íà óñëîâèÿ Äåìàðêà (ëîó), âîçâðàùàåò çíà÷åíèå èëè 0
double DemLow(int cnt, int sh){
   if (Low[cnt]<=Low[cnt+sh] && Low[cnt]<Low[cnt-sh]) {
      if (sh>1) return(DemLow(cnt,sh-1));
      else return(Low[cnt]);
   }
   else return(0);
}
string On(bool On){
   if (On) return("Âêë"); else return("Âûêë");
}
string UpHitch(int P, double qLevel){ // îïðåäåëåíèå êâàëèôèêàòîðîâ ïðîðûâà ââåðõ
   string Comm="";
   if (Close[P+1]<Close[P+2]) Comm=Comm+" 1";
   if (P>=0 && Open[P]>qLevel) Comm=Comm+" 2";
   if (2*Close[P+1]-Low[P+1]<qLevel) Comm=Comm+" 3";
   if (Comm!="") Comm="[ Êâ.Ïð:"+Comm+" ]";
   return(Comm);
}
string DownHitch(int P, double qLevel){ // îïðåäåëåíèå êâàëèôèêàòîðîâ ïðîðûâà âíèç
   string Comm="";
   if (Close[P+1]>Close[P+2]) Comm=Comm+" 1";
   if (P>=0 && Open[P]<qLevel) Comm=Comm+" 2";
   if (2*Close[P+1]-High[P+1]>qLevel) Comm=Comm+" 3";
   if (Comm!="") Comm="[ Êâ.Ïð:"+Comm+" ]";
   return(Comm);
}

Similar scripts

Demark2

This indicator dynamically identifies Demark pivot points to project trendlines, violation levels, and Fibonacci-based take-profit zones with automated hitch detection.

Demark

This indicator identifies DeMark pivot points to project dynamic trendlines, breakout levels, and Fibonacci-based target zones while monitoring structural breaches.

DeMark lines_001

This indicator identifies structural price pivots using DeMark theory to project dynamic trendlines, breakout levels, and Fibonacci-based target zones.

DeMark lines

This indicator identifies DeMark high/low pivot points to construct trendlines and automatically detects structural breakouts with specific price target levels and visual alerts.

Demark_trend_alert_and_mail

This indicator identifies DeMark pivots to construct trendlines, detect price breakouts with specific qualifiers, and project potential take-profit targets.

_2523DeMark

This indicator identifies structural trendlines and pivot points using DeMark theory to detect price breakouts, provide dynamic channel projections, and calculate Fibonacci-based profit targets.

DeMark lines_v1

This indicator identifies key pivot points using DeMark theory to construct trendlines, breakout levels, and dynamic target zones for precise market structure analysis.

Demark_trend_alert_and_mail_v1

This advisor identifies structural trend shifts by calculating DeMark pivot levels and projecting automated trendlines, breakout qualifiers, and Fibonacci-based price targets.

Mouteki-Demark_trend_new

This indicator identifies structural trend lines and breakout levels using DeMark theory to project potential price targets and provide breakout qualifiers.

Mouteki-Demark_trend_new_v2

This indicator identifies trend reversals and breakout opportunities by projecting linear price trajectories from Demark pivots, complete with automatic target levels and breakout qualificators.

Mouteki-Demark_trend_new_v1

This indicator identifies structural trend reversals by calculating DeMark pivot points and detecting high-probability breakout 'hitches' against dynamic trendlines.

Comments