macro 'Plot Histogram';
var
  max,scale:real;
  i,margin,width,height:integer;
begin
  SaveState;
  Margin:=10;
  width:=256;
  height:=0.6*256;
  Measure;
  SetForegroundColor(255);
  SetBackgroundColor(0);
  SetLineWidth(1);
  SetNewSize(width+2*margin,height+2*margin);
  MakeNewWindow('Histogram');
  MakeRoi(margin,margin-1,width,height+1);
  DrawBoundary;
  max:=0;
  for i:=1 to 254 do
  if histogram[i]> max then max:=histogram[i];
  scale:=height/max;
  for i:=1 to 254 do begin
    MakeRoi(margin+i,margin,1,histogram[i]*scale);
    SetForegroundColor(i);
    fill;
 end;
  SelectAll;
  FlipVertical;
  KillRoi;
  RestoreState;
end;

macro 'Stack Histogram';
var
  max,scale:real;
  i,margin,width,height:integer;
begin
  SaveState;
  Margin:=10;
  width:=256;
  height:=0.6*256;
  Measure;
  SetForegroundColor(255);
  SetBackgroundColor(0);
  SetLineWidth(1);
  SetNewSize(width+2*margin,height+2*margin);
  MakeNewWindow('Histogram');
  MakeRoi(margin,margin-1,width,height+1);
  DrawBoundary;
  max:=0;
  for i:=1 to 254 do
  if histogram[i]> max then max:=histogram[i];
  scale:=height/max;
  for i:=1 to 254 do begin
    MakeRoi(margin+i,margin,1,histogram[i]*scale);
    SetForegroundColor(i);
    fill;
 end;
  SelectAll;
  FlipVertical;
  KillRoi;
  RestoreState;
end;

procedure DoColumnPlot(MaxCount: integer);
{Plots the User1 column in the Results table.}
var
   xmin,xmax,ymin,ymax,i,xscale,yscale:real;
   width,height,margin,pwidth,pheight:integer;
   y,pbottom, barWidth, barLeft, barTop:integer;
   sum:integer;
begin
  SaveState;
  margin:=40;
  width:=500;
  height:=300;
  sum:=0;
  ymin:=0;
  ymax:=-999999;
  for i:=1 to maxCount do
      if rUser1[i]>ymax then ymax:=rUser1[i];
  xmin:=1;
  xmax:=maxCount;
  SetNewSize(width,height);
  SetForeground(255);
  SetBackground(0);
  MakeNewWindow('Histogram');
  pwidth:=width-2*margin;
  pheight:=height-2*margin;
  pbottom:=margin+pheight;
  xscale:=pwidth/xmax;
  yscale:=pheight/(ymax-ymin);
  barWidth:=round(pwidth/maxCount)+1;
  SetForeground(255);
  SetBackground(0); 
  SetLineWidth(1);
  for i:=0 to maxCount-1 do begin
     barLeft:=margin+i*xscale;
     barTop:=pbottom-(rUser1[i+1]-ymin)*yscale;
     MakeRoi(barLeft, barTop, barWidth, pBottom-barTop);
     fill;
     sum:=sum+(i+1)*rUser1[i+1];
  end;
  KillRoi;
  MoveTo(margin,margin);
  LineTo(margin,margin+pheight);
  SetFont('Geneva');
  SetFontSize(9);
  SetText('Centered');
  MoveTo(margin+4,margin+pheight+12);
  writeln(xmin:1:2);
  MoveTo(margin+pwidth,margin+pheight+12);
  writeln(xmax:1:2);
  SetText('Right Justified');
  MoveTo(margin-2,margin+pheight-5);
  writeln(ymin:1:2);
  MoveTo(margin-2,margin);
  writeln(ymax:1:2);
  MoveTo(margin+pwidth/2-15, margin+pheight+12);
  RestoreState;
  ShowMessage('sum=',sum:1,'\ymax=',ymax:1);
end;


macro 'Plot Histogram Using Bins';
var
  i, nBins, bin: integer;
  ValuesPerBin, TotalArea: real;
   n, lower, upper, nValues: integer;
   first, last: integer;
begin
  ResetCounter;
  nBins:=GetNumber('Number of Bins (1-256)', 10);
  SetUser1Label('%');
  SetUser2Label('Area');
  Measure;
  TotalArea := rArea[rCount];
  GetThreshold(lower, upper);
  if (lower = 0) and (upper = 0) then
     upper := 255;
  nValues := upper - lower + 1;
  n := 0;
  for i := lower to upper do
     n := n + histogram[i];
  ValuesPerBin := nValues / nBins;
  for bin := 1 to nBins do
      rUser1[bin] := 0;
  {for i := lower to upper do begin
      bin := trunc((i - lower) / ValuesPerBin) + 1;
      rUser1[bin] := rUser1[bin] + Histogram[i];
  end;}
  SaveState;
  SetFont('Monaco');
  SetFontSize(9);
  NewTextWindow('Histogram Data', 280, 450);
  writeln(' Bin    Range   Count   Percent   Area');
  for bin := 1 to nBins do begin
      first := lower + trunc((nValues * (bin - 1)) / nBins);
      last := lower + trunc((nValues * bin) / nBins) -1 ;
      for i := first to last do
         rUser1[bin] := rUser1[bin] + Histogram[i];
      writeln(bin:3, first:6, last:4, rUser1[bin]:8, (rUser1[bin] / n) * 100:8:2, TotalArea * rUser1[bin] / n:10:2);
  end;
  RestoreState;
  for bin := 1 to nBins do
      rUser1[bin] :=  (rUser1[bin] / n) * 100.0;
  for bin := 1 to nBins do
      rUser2[bin] :=  TotalArea * rUser1[bin] / 100;
  SetCounter(nBins);
  DoColumnPlot(nBins);
end;


procedure DrawPerimeter;
var
  length1, length2: integer;
  dx1, dx2, dy1, dy2: integer;
  dxp1, dxp2, dyp1, dyp2: integer;
  sumdx, sumdy, corners: integer;
  corner: boolean;
  perimeter: real;
begin
  RedLUT[254] := 255;
  GreenLUT[254] := 0;
  BlueLUT[254] := 0;
  SetForeground(254);
  sumdx := 0.0;
  sumdy := 0.0;
  corners := 0;
  dx1 := xCoordinates[1] - xCoordinates[nCoordinates];
  dy1 := yCoordinates[1] - yCoordinates[nCoordinates];
  length1 := abs(dx1) + abs(dy1);
  dxp1 := dx1;
  if dxp1 > 1 then dxp1 := 1;
  if dxp1 < -1 then dxp1 := -1;
  dyp1 := dy1;
  if dyp1 > 1 then dyp1 := 1;
  if dyp1 < -1 then dyp1 := -1;
  corner := false;
  for i := 1 to nCoordinates do begin
     dx2 := xCoordinates[i+1] - xCoordinates[i];
     dy2 := yCoordinates[i+1] - yCoordinates[i];
{showmessage(i, abs(dx1), abs(dy1)); wait(2);}
     sumdx := sumdx + abs(dx1);
     sumdy := sumdy + abs(dy1);
     length2 := abs(dx2) + abs(dy2);
     dxp2 := dx2;
     if dxp2 > 1 then dxp2 := 1;
     if dxp2 < -1 then dxp2 := -1;
     dyp2 := dy2;
     if dyp2 > 1 then dyp2 := 1;
     if dyp2 < -1 then dyp2 := -1;
     if (length1 > 1) or (not corner) then begin
        MoveTo((xCoordinates[i]-dxp1)*scale+10, (yCoordinates[i]-dyp1)*scale+10);
        LineTo((xCoordinates[i]+dxp2)*scale+10, (yCoordinates[i]+dyp2)*scale+10);
        corner := true;
        corners := corners + 1;
     end else
        corner := false;
     dx1 := dx2;
     dy1 := dy2;
     dxp1 := dxp2;
     dyp1 := dyp2;
     length1 := length2;
  end;
  perimeter := sumdx + sumdy;
end;

procedure ShowPerimeter;
var
  length1, length2: integer;
  dx1, dx2, dy1, dy2: integer;
  sumdx, sumdy, nCorners: integer;
  corner: boolean;
  perimeter: real;
begin
  sumdx := 0.0;
  sumdy := 0.0;
  nCorners := 0;
  dx1 := xCoordinates[1] - xCoordinates[nCoordinates];
  dy1 := yCoordinates[1] - yCoordinates[nCoordinates];
  length1 := abs(dx1) + abs(dy1);
  corner := false;
  for i := 1 to nCoordinates do begin
     dx2 := xCoordinates[i+1] - xCoordinates[i];
     dy2 := yCoordinates[i+1] - yCoordinates[i];
     sumdx := sumdx + abs(dx1);
     sumdy := sumdy + abs(dy1);
     length2 := abs(dx2) + abs(dy2);
     if (length1 > 1) or (not corner) then begin
        corner := true;
        nCorners := nCorners + 1;
     end else
        corner := false;
     dx1 := dx2;
     dy1 := dy2;
     length1 := length2;
  end;
  perimeter := sumdx + sumdy;
  MoveTo(width/3,height/3 + 40);
  Writeln('perimeter1=', perimeter:1:2);
  Writeln('perimeter2=', perimeter - nCorners * (2 - sqrt(2)):1:2);
  Writeln('perimeter3=', perimeter*0.948 - nCorners * (2 - 1.34):1:2);
end;

procedure DrawX(x, y:integer);
begin
  moveto(x+3, y+3);
  lineto(x-3, y-3);
  moveto(x+3, y-3);
  lineto(x-3, y+3);
  lineto(x, y);
end;


macro 'Plot XY Coordinates [X]';
{Plots the X-Y Coordinates of the current ROI.}
var
  i,w,h,width,height:integer;
  xbase,ybase,RoiWidth,RoiHeight:integer
  x,y,scale,xmax,ymax:real 
begin
  RequiresVersion(1.48);
  if nCoordinates=0 then begin
    beep;
    PutMessage('No X-Y Coordinates available.');
    exit;
  end;
  GetRoi(xbase,ybase,RoiWidth,RoiHeight);
  SaveState;
  InvertY(false);
  xmax:=0;
  ymax:=0;
  for i:=1 to nCoordinates do begin
    x:=xCoordinates[i];
    y:=yCoordinates[i];
    if x>xmax then xmax:=x;
    if y>ymax then ymax:=y;
  end;
  scale:=sqrt((300*300)/(xmax*ymax));
  if (xmax*scale)>500 then scale:=500/xmax;
  if (ymax*scale)>500 then scale:=500/ymax;
  SetForegroundColor(255);
  SetBackgroundColor(0);
  SetNewSize(xmax*scale+20,ymax*scale+20);
  MakeNewWindow('Outline');
  MoveTo(xCoordinates[1]*scale+10,yCoordinates[1]*scale+10);
  for i:=2 to nCoordinates do begin
    LineTo(xCoordinates[i]*scale+10,yCoordinates[i]*scale+10);
    if nCoordinates < 100 then
       DrawX(xCoordinates[i]*scale+10,yCoordinates[i]*scale+10);
  end;
  SetFont('Helvetica');
  SetFontSize(12);
  SetText('No background, Left Justified');
  GetPicSize(width,height);
  MoveTo(width/3,height/3);
  Writeln(nCoordinates:1,' coordinate pairs');
  Writeln('Origin=',xbase:1,', ',ybase:1);
  Writeln('xmax=',xmax:1, ', ymax=',ymax:1,);
  {DrawPerimeter;}
  {ShowPerimeter;}
  RestoreState;
end;


procedure PlotProfile2(integrate:boolean);
var
  xmin,xmax,ymin,ymax,i,xscale,yscale:real;
  width,height,margin,pwidth,pheight:integer;
  count:integer;
  ppv:integer; {Pixels per Value}
begin
  SaveState;
  margin:=40;
  width:=500;
  height:=300;
  GetPlotData(count,ppv,ymin,ymax);
  if count=0 then begin
    PutMessage('No plot data available.');
    exit;
  end;
  if integrate then begin
     ymin:=ymin*ppv;
     ymax:=ymax*ppv;
  end;
  xmin:=0;
  xmax:=count-1;
  SetNewSize(width,height);
  SetForeground(255);
  SetBackground(0);
  MakeNewWindow('Plot');
  pwidth:=width-2*margin;
  pheight:=height-2*margin;
  xscale:=pwidth/(xmax-xmin);
  yscale:=pheight/(ymax-ymin);
  SetForeground(255);
  SetBackground(0); 
  SetLineWidth(1); 
  MoveTo(margin,margin);
  if integrate then for i:=0 to count-1 do
       LineTo(margin+i*xscale,margin+(PlotData[i]*ppv-ymin)*yscale)
  else  for i:=0 to count-1 do
        LineTo(margin+i*xscale,margin+(PlotData[i]-ymin)*yscale);
  MakeRoi(margin,margin,pwidth+1,pheight+2);
  MoveTo(margin,margin);
  LineTo(margin+pwidth,margin);
  MoveTo(margin,margin);
  LineTo(margin,margin+pheight);
  FlipVertical;
  KillRoi;
  SetFont('Geneva');
  SetFontSize(9);
  SetText('Centered');
  MoveTo(margin+4,margin+pheight+12);
  writeln(xmin:1:2);
  MoveTo(margin+pwidth,margin+pheight+12);
  writeln(xmax:1:2);
  SetText('Right Justified');
  MoveTo(margin-2,margin+pheight-5);
  writeln(ymin:1:2);
  MoveTo(margin-2,margin);
  writeln(ymax:1:2);
  RestoreState;
end;


macro 'Plot Profile';
begin
  PlotProfile2(false);
end;

macro 'Plot Integrated Profile';
begin
  PlotProfile2(true);
end;


macro 'Plot Profile and Display Values';
var
   count, ppv, ymin, ymax, i: integer;
   scale: real;
   unit: string;
begin
   GetScale(scale, unit);
   PlotProfile;
   GetPlotData(count, ppv, ymin, ymax);
   NewTextWindow('Plot Values', 150, 450);
   for i := 0 to count -1 do
       writeln(i / scale:1:3, ' ', PlotData[i]:1:3);
end;


macro 'Plot Radial ProfilesÉ [R]';
var
  x1,y1,x2,y2,pi,angle,delta:real;
  LineWidth,i,nLines,radius,PlotWidth,PlotHeight:integer;
  MinPlotWidth,hMargin,vMargin,PlotLeft,PlotTop:integer;
  LeftMargin,RightMargin,TopMargin,BottomMargin:integer;
  ImageWindow,PlotWindow:integer;
  nPixels,mean,mode,min,max:real;
begin
  RequiresVersion(1.54);
  SaveState;
  GetLine(x1,y1,x2,y2,LineWidth);
  if x1<0 then begin
    PutMessage('Please select a point by clicking with the line tool.');
    exit;
  end;
  radius:=GetNumber('Radius:',20);
  nLines:=GetNumber('Number of Lines:',8);
  MinPlotWidth:=140;
  pi:=3.14159;
  delta:=2.0*pi/nLines;
  angle:=0.0;
  PlotWidth:=radius;
  if PlotWidth<MinPlotWidth then PlotWidth:=MinPlotWidth;
  PlotHeight:=0.4*PlotWidth;
  SetPlotSize(PlotWidth,PlotHeight);
  MakeOvalRoi(x1-radius,y1-radius,radius*2,radius*2);
  Measure;
  GetResults(nPixels,mean,mode,min,max);
  min:=min-10;
  if min<0 then min:=0;
  max:=max+10;
  if max>255 then max:=255;
  SetPlotScale(cValue(min),cValue(max));
  SetPlotLabels(false);
  hMargin:=5;
  vMargin:=5;
  LeftMargin:=38;
  TopMargin:=10;
  RightMargin:=20;
  BottomMargin:=20;
  PlotLeft:=hMargin-LeftMargin;
  PlotTop:=vMargin-TopMargin;
  SetNewSize(PlotWidth+2*hMargin,PlotHeight*nLines);
  SetForegroundColor(255);
  SetBackgroundColor(0);
  ImageWindow:=PicNumber;
  MakeNewWindow('Plots');
  PlotWindow:=PicNumber;
  SelectPic(ImageWindow);
  for i:=1 TO nLines do begin
    x2:=x1+round(radius*cos(angle));
    y2:=y1+round(radius*sin(angle));
    MakeLineRoi(x1,y1,x2,y2);
    PlotProfile;
    Copy;
    SelectPic(PlotWindow);
    MakeRoi(PlotLeft,PlotTop,PlotWidth+LeftMargin+RightMargin,
          PlotHeight+TopMargin+BottomMargin);
    Paste;
    DoOr;
    PlotTop:=PlotTop+PlotHeight-1;
    SelectPic(ImageWindow);
    angle:=angle+delta;
  end;
  RestoreState;
end;


macro 'Radial Intensity DistibutionÉ';
var
  x1,y1,x2,y2,pi,angle,delta:real;
  radius,ymin,ymax,sum:real;
  i,j,LineWidth,nLines,count,ppv:integer;
begin
  RequiresVersion(1.54);
  SaveState;
  GetLine(x1,y1,x2,y2,LineWidth);
  if x1<0 then begin
    PutMessage('Please select a point by clicking with the line tool.');
    exit;
  end;
  radius:=GetNumber('Radius (pixels):',50);
  nLines:=GetNumber('Number of Lines:',25);
  for i:= 1 to radius do rUser1[i]:=0;
  pi:=3.14159;
  delta:=2.0*pi/nLines;
  angle:=0.0;
  for i:=1 to nLines do begin
    x2:=x1+round(radius*cos(angle));
    y2:=y1+round(radius*sin(angle));
    MakeLineRoi(x1,y1,x2,y2);
    GetPlotData(count,ppv,ymin,ymax);
    for j:=1 to count do
        rUser1[j]:=rUser1[j]+PlotData[j];
    angle:=angle+delta;
  end;
  RestoreState;
  DoColumnPlot(radius);
end;


macro 'Circular Profile Plot [C]';
var
  radius,pi,angle,dx,dy,delta:real;
  x1,y1,x2,y2:real;
  npoints,i,value,LineWidth,x,y,px:integer;
begin
  GetLine(x1,y1,x2,y2,LineWidth);
  if x1< 0 then begin
    PutMessage('Please select a point by clicking with the line tool.');
    exit;
  end;
  x:=x1+(x2-x1)/2;
  y:=y1+(y2-y1)/2;
  radius:=sqrt(sqr(x2-x1)+sqr(y2-y1))/2;
  if radius<3 then begin
    PutMessage('The line selection must be longer than 5 pixels.');
    exit;
  end;
  npoints:=radius*2;
  pi:=3.14159;
  delta:=2.0*pi/npoints;
  angle:=0.0;
  px:=0;
  for i:=1 TO npoints do begin
    dx:=round(radius*cos(angle));
    dy:=round(radius*sin(angle));
    value:=GetPixel(x+dx,y+dy);
    PutPixel(x+dx,y+dy,255);
    PutPixel(px,0,value);
    px:=px+1;
    angle:=angle+delta;
  end;
  MakeLineRoi(0,0,npoints,0);
  PlotProfile;
  KillRoi;
end;

macro 'Export Profile PlotsÉ';
var
  y,yInc,width,height,n:integer;
begin
  yInc:=GetNumber('Y Increment:',10);
  GetPicSize(width,height);
  y:=0;
  n:=0;
  SetExport('Plot Values');
  repeat
    MakeLineRoi(0,y,width-1,y);
    PlotProfile;
    Export('PLOT',n:4);
    n:=n+1;
    y:=y+yInc;
  until y>=height;
end;


procedure PlotMeans;
{Plots the mean column in the Results table.}
var
   xmin,xmax,ymin,ymax,i,xscale,yscale:real;
  width,height,margin,pwidth,pheight:integer;
  y,pbottom:integer;
begin
  margin:=40;
  width:=500;
  height:=300;
  ymax:=-999999;
  ymin:=999999;
  for i:=1 to rCount do begin
    y:=rMean[i];
    if y>ymax then ymax:=y;
    if y<ymin then ymin:=y;
  end;
  xmin:=0;
  xmax:=rCount-1;
  SetNewSize(width,height);
  SetForeground(255);
  SetBackground(0);
  MakeNewWindow('Z-Axis Profile Plot');
  pwidth:=width-2*margin;
  pheight:=height-2*margin;
  pbottom:=margin+pheight;
  xscale:=pwidth/(xmax-xmin);
  yscale:=pheight/(ymax-ymin);
  SetForeground(255);
  SetBackground(0); 
  SetLineWidth(1);
  MoveTo(margin,pbottom-(rMean[1]-ymin)*yscale);
  for i:=2 to rCount do
     LineTo(margin+(i-1)*xscale,pbottom-(rMean[i]-ymin)*yscale);
  MoveTo(margin,pbottom);
  LineTo(margin+pwidth,pbottom);
  MoveTo(margin,margin);
  LineTo(margin,margin+pheight);
  SetFont('Geneva');
  SetFontSize(9);
  SetText('Centered');
  MoveTo(margin+4,margin+pheight+12);
  writeln(xmin:1:2);
  MoveTo(margin+pwidth,margin+pheight+12);
  writeln(xmax:1:2);
  SetText('Right Justified');
  MoveTo(margin-2,margin+pheight-5);
  writeln(ymin:1:2);
  MoveTo(margin-2,margin);
  writeln(ymax:1:2);
end;

macro 'Plot Z-Axis Profile [Z]';
{Plots the average density of an roi through a stack.}
var
  left,top,width,height,i:integer;
begin
  if (nPics=0) or (nSlices=0) then begin
     PutMessage('This macro requires a stack.');
     exit;
  end;
  GetRoi(left,top,width,height);
  if width=0 then begin
     PutMessage('Selection required.');
     exit;
  end;
  ResetCounter;
  {SetOptions('Mean');}
  for i:= 1 to nSlices do begin
     SelectSlice(i);
     Measure;
  end;
  PlotMeans;
 end;


macro 'Plot XYZ';
{
Plots X-Y coordinate points with an optional intensity(Z). Values are read from
a 2 or 3 column tab-delimited text file. Data must be scaled as follows:
0<=X<width; 0<=Y<height; 0<=Z<=255.
}
var
  width,height:integer;
begin
  SaveState;
  width:=500;
  height:=500;
  SetNewSize(width,height);
  SetForeground(255);
  SetBackground(0);
  MakeNewWindow('Plot');
  PlotXYZ;
  RestoreState;
end;

macro 'Draw Fitted Ellipse in White';
var
  left,top,width,height:real;
begin
  GetRoi(left,top,width,height);
  if width=0 then begin
    PutMessage('This macro requires a selection.');
    exit;
  end;
  SetOptions('Area; Mean; X-Y Center');
  Measure;
  SetOption; MarkSelection;
  KillRoi;
  SelectAll;
  KillRoi;
 end;

macro 'Draw Calibration Bar [B]';
{Generates a vertical calibration bar with labels.}
var
  top,left,width,height,nLabels,i:integer;
  vloc,fwidth,digits,value:integer;
begin
  SaveState;
  GetRoi(left,top,width,height);
  if width=0 then begin
    PutMessage('This macro requires a selection.');
    exit;
  end;
  if width>height then begin
    PutMessage('Selection must be vertically oriented.');
    exit;
  end;
  nLabels:=round(height/25);
  if nLabels<2 then nLabels:=2;
  SetFontSize(9);
  SetFont('Monaco');
  SetText('Left Justified, With Background');
  DrawScale;
  {FlipVertical;}
  KillRoi;
  SetForeground(255); {black}
  SetBackground(0); {white}
  if calibrated then begin
     fwidth:=7;
    digits:=4;
  end else begin
    fwidth:=3;
    digits:=0;
  end;
  vloc:=top;
  for i:=0 to nLabels-1 do begin
    vloc:=top+round(i*((height-1)/(nLabels-1)));
    if vloc>=(top+height) then vloc:=top+height-1;
    MoveTo(left+width+4,vloc+3);
    value:=cvalue(GetPixel(left,vloc));
    Write(value:fwidth:digits);
    vloc:=vloc+round(height/(nLabels-1));
  end;
  RestoreRoi;
  SetForeground(0); {white}
  InsetRoi(-1);
  DrawBoundary;
  KillRoi;
  RestoreState;
end;


macro 'Show Polar Coordiates [P]';
{Returns polar coordinates of a point selected with the mouse, using centre 
of the image as 0,0.  Data are displayed in the Info window as distance from 
centre of image, and angle in degrees measured clockwise, where 0 is the 
12 o'clock position}
var
    Wide, High,x2,y2:integer;
    x1,y1,D,Theta,rad:real;
begin
   rad:=180/3.14159265;
   InvertY(true);
   GetPicSize(Wide,High);
   SetCursor('cross');
   repeat
      GetMouse(x2,y2);
      x1:=Wide/2;
      y1:=High/2;
      y2:=High-y2
      if (x1=x2) and (y1=y2) then begin
         D:=0;
         Theta:=0;
      end;
      if (y1<>y2) then begin
         D:= sqrt((sqr(x2-x1))+ (sqr(y2-y1)));
         Theta:=rad*(arctan((x2-x1)/(y2-y1)));
      end;
      if (y2<y1) then begin
         Theta:=180 + Theta; 
      end;
      if (x2<x1) and (y2>y1) then begin
         Theta:=360+Theta;
      end;
      ShowMessage('Distance: ',D:5:1'\''Angle: ',Theta:5:1); 
      Wait(0.2);
   until button;
end;


macro 'Record XY [X]';
{Records the X-Y Coordinates of each pixel in the perimeter
of a particle (selected with the wand) and saves the data to a
comma-delimited text file}
var
    i,w,h:real;
   xbase,ybase,width,height,RoiWidth,RoiHeight:real
   x,y,xmax,ymax:real 
begin
   GetPicSize(width,height);
   GetRoi(xbase,ybase,RoiWidth,RoiHeight);
    if (RoiWidth=0) or (nCoordinates=0) then begin
      PutMessage('Select a particle with the wand.');
       exit;
   end;
  InvertY(false);
   NewTextWindow('XY Data',150,400);
   for i:=1 to nCoordinates do
      Writeln(i,',',xCoordinates[i]+xbase:5:0,',',Height-yCoordinates[i]-ybase:5:0);
end;


procedure WriteReal(r:real);
{Writes a real number using scientific notation.}
var
  e: integer;
begin
  e := 0;
  while r >= 10 do begin
    r := r / 10;
    e := e + 1;
  end;
  while r < 1 do begin
    r := r * 10;
    e := e - 1;
  end;
  write(r:8:6);
  if e >= 0 then
				write('e+')
  else begin
    e := -e;
				write('e-')
  end;
  if e <10 then
     write('0');
  write(e:1);
end;


macro 'Write Real Test...';
var
  r: real;
begin
  r := GetNumber('Enter a real number:', 1.234);
  NewTextWindow('Output');
  WriteReal(r);
end;


macro 'Make Image Correlation Plot...';
{Generates an XY plot indicating how well correlated two images are.  
It uses the z-value of a given pixel in a certain slice as the x-coordinate; 
z-value of the corresponding pixel in another slice as the y-coordinate.  
These are plotted into a new window to give a scatter plot.  The 
percentage done is shown in the Info window.}

var
   xmin, xmax, ymin, ymax, xscale, yscale, Percent: real;
   xslice, yslice, nPixels, ticks: integer;
   width, height, x, y, xvalue, yvalue, Pointvalue: integer;
   wide, high, StackID, PlotID, margin, ticksize: integer;
   time: real;
begin
   if nSlices=0 then begin
      beep;
      PutMessage('This macro requires a stack.');
      exit
   end;
   SaveState;
   InvertY(true);
   KillRoi;
   GetPicSize(wide, high);
   nPixels:=wide * high;
   Measure;
   StackID := PidNumber;
   xslice := GetNumber('Slice to plot on the x-axis:', 1);
   yslice := GetNumber('Slice to plot on the y-axis:', 2);
   width := 256;
   height := 256;
   SetNewSize(width,height);
   SetForeground(255);
   SetBackground(0);
   MakeNewWindow('Plot');
   InvertY(true);
   PlotID := PicNumber;
   SelectPic(StackID);
   SetCursor('watch');
   ticks := TickCount;

   for y := 0 to high - 1 do begin
      for x := 0 to wide - 1 do begin
         ChoosePic(StackID);
         ChooseSlice(xslice);
         xvalue:=GetPixel(x, y);  {ie z-value of pixel (x,y) on one slice}
         ChooseSlice(yslice);
         yvalue:=GetPixel(x, y); {ie z-value of same pixel on other slice}
         ChoosePic(PlotID);
         Pointvalue := GetPixel(xvalue, 255 - yvalue);
         if PointValue < 254
            then PointValue:=PointValue+1;
         PutPixel(xvalue, 255 - yvalue, PointValue);
     end; {for x...}
     if (y mod 10) = 0
         then ShowMessage((y / high) * 100:2:0, '% done');
   end;  {for y...}

   time := (TickCount-ticks) / 60;
   ShowMessage(nPixels:1,  ' pixels\',  time:1:2,  ' seconds\',
      nPixels/time:1:0,  ' pixels/second');

   SelectPic(StackID);
   SelectSlice(xSlice);
   SelectPic(PlotID);
   SelectAll;
   EnhanceContrast;
   ApplyLut;
   SelectAll;
   Copy;
   Dispose;
   margin := 75;
   ticksize := 6;
   SetNewSize(width + (2 * margin), height + (2 * margin));
   SetForeground(255);
   SetBackground(0);
   MakeNewWindow('Correlation Plot');
   SetFont('Geneva');
   SetFontSize(9);
   InvertY(true);
   MakeRoi(margin, margin, 256, 256);
   Paste;
   MakeRoi(margin - 1, margin - 1, 258, 258);
   SetLinewidth(1); 
   DrawBoundary;
   KillRoi;
   MoveTo(margin, margin + 255);
   LineTo(margin, margin + 255 + ticksize);
   MoveTo(margin + 50, margin + 256);
   LineTo(margin + 50, margin + 256 + ticksize);
   MoveTo(margin + 100, margin + 256);
   LineTo(margin + 100, margin + 256 + ticksize);
   MoveTo(margin +150, margin + 256);
   LineTo(margin + 150, margin + 256 + ticksize);
   MoveTo(margin + 200, margin + 256);
   LineTo(margin + 200, margin + 256 + ticksize);
   MoveTo(margin + 255, margin + 256);
   LineTo(margin + 255, margin + 256 + ticksize);
   MoveTo(margin - 1, margin + 255);
   LineTo(margin - ticksize, margin + 255);
   MoveTo(margin - 1, margin + 206);
   LineTo(margin - ticksize, margin + 206);
   MoveTo(margin -1 , margin + 156);
   LineTo(margin - ticksize, margin + 156);
   MoveTo(margin - 1, margin + 106);
   LineTo(margin - ticksize, margin + 106);
   MoveTo(margin - 1, margin + 56);
   LineTo(margin - ticksize, margin + 56);
   MoveTo(margin - 1, margin);
   LineTo(margin - ticksize, margin);
   MoveTo(margin - 25, margin);
   Writeln('255');
   MoveTo(margin - 25, margin + 56);
   Writeln('200');
   MoveTo(margin - 25, margin + 156);
   Writeln('100');
   MoveTo(margin - 14, margin + 256);
   Writeln('0');
   MoveTo(margin - 2, margin + 270);
   Writeln('0');
   MoveTo(margin + 92, margin + 270);
   Writeln('100');
   MoveTo(margin + 192, margin + 270);
   Writeln('200');
   MoveTo(margin + 248, margin + 270);
   Writeln('255');
   MoveTo(margin + 70, margin + 290);
   Writeln('Z-value on slice', xslice:1);
   MoveTo(margin - 65, margin + 100);
   Writeln('Z-value');
   MoveTo(margin - 65, margin + 115);
   Writeln('on slice', yslice:1);

   RestoreState;
end;