R/densitymap.R

In GeoXp: Interactive exploratory spatial data analysis

`densitymap` <- function(sp.obj, name.var, kernel='triweight',
names.attr=names(sp.obj), criteria=NULL, carte=NULL, identify=FALSE, cex.lab=0.8, pch=16,
col="lightblue3", xlab="", ylab="", axes=FALSE, lablong="", lablat="")
{
envir = as.environment(1)
# Verification of the Spatial Object sp.obj
class.obj<-class(sp.obj)[1]
spdf<-(class.obj=="SpatialPolygonsDataFrame")
if(substr(class.obj,1,7)!="Spatial") stop("sp.obj may be a Spatial object")
if(substr(class.obj,nchar(class.obj)-8,nchar(class.obj))!="DataFrame") stop("sp.obj should contain a data.frame")
if(!is.numeric(name.var) & is.na(match(as.character(name.var),names(sp.obj)))) stop("name.var is not included in the data.frame of sp.obj")
if(length(names.attr)!=length(names(sp.obj))) stop("names.attr should be a vector of character with a length equal to the number of variable")

# we propose to refind the same arguments used in first version of GeoXp
long<-coordinates(sp.obj)[,1]
lat<-coordinates(sp.obj)[,2]

var<-sp.obj@data[,name.var]

# verify the type of the main variable
if(!(is.integer(var) || is.double(var))) stop("the variable name.var should be a numeric variable")

listvar<-sp.obj@data
listnomvar<-names.attr


# Code which was necessary in the previous version
# if(is.null(carte) & class.obj=="SpatialPolygonsDataFrame") carte<-spdf2list(sp.obj)$poly

 # for identifying the selected sites
ifelse(identify, label<-row.names(listvar),label<-"")

#initialisation
  obs<-vector(mode = "logical", length = length(long))
  graph<-"Densityplot2"
  nointer<-FALSE
  nocart<-FALSE
  buble<-FALSE
  legends<-list(FALSE,FALSE,"","")
  z<-NULL
  legmap<-NULL

  value1 <- ""
  value2 <- ""

  graphChoice <- ""
  varChoice1 <- ""
  varChoice2 <- ""
  choix<-""

  listgraph <- c("Histogram","Barplot","Scatterplot")

 # for the slider
  alpha1<-20
  names.slide<-"Alpha"

# options for adding a graphic with colors
  polyX2 <- NULL
  method <- ""
  col2 <- "blue"
  col3 <- col[1]
  pch2 <- pch[1]
  labmod <- ""
  labvar <- c(xlab,ylab)

# transformation data.frame en matrix
if((length(listvar)>0)&&(dim(as.matrix(listvar))[2]==1))listvar<-as.matrix(listvar)

# Windows device
if(!(2%in%dev.list())) dev.new()
if(!(3%in%dev.list())) dev.new()


####################################################
# sélection d'un point
####################################################

pointfunc<-function()
{  if(graph=="Densityplot2")
    {
     graph<<-"Densityplot1"

     graphique(var1=var, obs=obs, alpha1=alpha1,  num=3, graph=graph, labvar=labvar,
     symbol=pch, couleurs=col,kernel=kernel)
    }
    quit <- FALSE
    loc <- NULL

    dev.set(2)
    title("ACTIVE DEVICE", cex.main = 0.8, font.main = 3, col.main='red')
    title(sub = "To stop selection, click on the right button of the mouse and stop (for MAC, ESC)", cex.sub = 0.8, font.sub = 3,col.sub='red')
    if(spdf & nrow(sp.obj)>75 & !buble) 
       {points(long,lat,pch=16,col='royalblue')}

    while(!quit)
    {
        dev.set(2)
        loc<-locator(1)

        if(is.null(loc))
        {
          quit<-TRUE
        carte(long=long, lat=lat,obs=obs,  sp.obj=sp.obj, buble=buble,cbuble=z,criteria=criteria,nointer=nointer,
        label=label,cex.lab=cex.lab, carte=carte,nocart=nocart,legmap=legmap,legends=legends,axis=axes,
        lablong=lablong, lablat=lablat,symbol=pch2, couleurs=col2,method=method,
        classe=listvar[,which(listnomvar == varChoice1)],labmod=labmod)
         next
        }

       if(!spdf|nrow(sp.obj)>75)
       { 
       obs<<-selectmap(var1=long,var2=lat,obs=obs,Xpoly=loc[1], Ypoly=loc[2], method="point")}
       else
       {if(gContains(sp.obj,SpatialPoints(cbind(loc$x,loc$y),proj4string=CRS(proj4string(sp.obj)))))
        {for (i in 1:nrow(sp.obj))
          {if(gContains(sp.obj[i,],SpatialPoints(cbind(loc$x,loc$y),proj4string=CRS(proj4string(sp.obj)))))
           {obs[i]<<-!obs[i]
            break}  
          }
         } 
       }

        # graphiques

        if (length(var[obs]) >= 2)
        {
            graphique(var1=var, obs=obs, alpha1=alpha1,  num=3, graph=graph, labvar=labvar,
            symbol=pch, couleurs=col,kernel=kernel)
         }
        else
        {dev.set(3)
         title(sub = "You have to choose at least two sites to represent the sub-density", cex.sub = 0.8, font.sub = 3,col.sub='red')
        }

        carte(long=long, lat=lat,obs=obs,  sp.obj=sp.obj, buble=buble,cbuble=z,criteria=criteria,nointer=nointer,
        label=label,cex.lab=cex.lab, carte=carte,nocart=nocart,legmap=legmap,legends=legends,axis=axes,
        lablong=lablong, lablat=lablat,symbol=pch2, couleurs=col2,method=method,
        classe=listvar[,which(listnomvar == varChoice1)],labmod=labmod)
        title("ACTIVE DEVICE", cex.main = 0.8, font.main = 3, col.main='red')
        title(sub = "To stop selection, click on the right button of the mouse and stop (for MAC, ESC)", cex.sub = 0.8, font.sub = 3,col.sub='red')
        if(spdf & nrow(sp.obj)>75 & !buble) 
         {points(long,lat,pch=16,col='royalblue')}
         
         if ((graphChoice != "") && (varChoice1 != "") && (length(dev.list()) > 2))
          {graphique(var1=listvar[,which(listnomvar == varChoice1)], var2=listvar[,which(listnomvar == varChoice2)],
            obs=obs, num=4, graph=graphChoice, symbol=pch, labvar=c(varChoice1,varChoice2),couleurs=col3)
          }
    }
  }

####################################################
# sélection d'un polygone
####################################################

polyfunc<-function()
{  if(graph=="Densityplot2")
    {
     graph<<-"Densityplot1"

     graphique(var1=var, obs=obs, alpha1=alpha1,  num=3, graph=graph, labvar=labvar,
     symbol=pch, couleurs=col,kernel=kernel)
    }
    polyX <- NULL
    polyY <- NULL
    quit <- FALSE

    dev.set(2)
    title("ACTIVE DEVICE", cex.main = 0.8, font.main = 3, col.main='red')
    title(sub = "To stop selection, click on the right button of the mouse and stop (for MAC, ESC)", cex.sub = 0.8, font.sub = 3,col.sub='red')
    if(spdf & nrow(sp.obj)>75 & !buble) 
       {points(long,lat,pch=16,col='royalblue')}
       
    while(!quit)
    {
      dev.set(2)
      loc<-locator(1)
        if(is.null(loc))
        {
          quit<-TRUE
          next
        }

        polyX <- c(polyX, loc[1])
        polyY <- c(polyY, loc[2])
        lines(polyX,polyY)
    }

    polyX <- c(polyX, polyX[1])
    polyY <- c(polyY, polyY[1])

if (length(polyX)>0)
{
    lines(polyX,polyY)

    obs <<- selectmap(var1=long, var2=lat, obs=obs, Xpoly=polyX, Ypoly=polyY, method="poly")

    #graphique
    if (length(var[obs]) >= 2)
    {
    graphique(var1=var, obs=obs, alpha1=alpha1,  num=3, graph=graph, labvar=labvar,
    symbol=pch, couleurs=col,kernel=kernel)
    }
    else
    {dev.set(3)
     title(sub = "You have to choose at least two sites to represent the sub-density", cex.sub = 0.8, font.sub = 3,col.sub='red')
     }

    carte(long=long, lat=lat,obs=obs,  sp.obj=sp.obj, buble=buble,cbuble=z,criteria=criteria,nointer=nointer,
    label=label,cex.lab=cex.lab, carte=carte,nocart=nocart,legmap=legmap,legends=legends,axis=axes,
    lablong=lablong, lablat=lablat,symbol=pch2, couleurs=col2,method=method,classe=listvar[,
    which(listnomvar == varChoice1)],labmod=labmod)

          if ((graphChoice != "") && (varChoice1 != "") && (length(dev.list()) > 2))
           {
            graphique(var1=listvar[,which(listnomvar == varChoice1)], var2=listvar[,which(listnomvar == varChoice2)],
            obs=obs, num=4, graph=graphChoice, symbol=pch, couleurs=col3, labvar=c(varChoice1,varChoice2))
           }
  }
}

####################################################
# sélection d'une aire sous la courbe de densité
####################################################

interfunc<-function()
{
#   SGfunc();
#    quit <- FALSE;

    if(graph=="Densityplot1")
    {
     SGfunc()
     graph<<-"Densityplot2"
    }

    n.inter<-length(polyX2)
    polyX<-NULL

    while (length(polyX)<2)
    {
      dev.set(3)
      title("ACTIVE DEVICE", cex.main = 0.8, font.main = 3, col.main='red')
      title(sub = "Click two times to select an interval", cex.sub = 0.8, font.sub = 3,col.sub='red')
      loc<-locator(1)
      polyX <- c(polyX, loc[1])
    }

  polyX2[[n.inter+1]]<<-polyX


   obs<<-selectstat(var1=var,obs=obs,Xpoly=polyX[1], Ypoly=polyX[2],method="Densityplot")

    # graphiques
    graphique(var1=var, obs=obs, alpha1=alpha1, num=3, graph=graph,
    Xpoly=polyX2, labvar=labvar, symbol=pch, couleurs=col, kernel=kernel)

    carte(long=long, lat=lat,obs=obs,  sp.obj=sp.obj, buble=buble,cbuble=z,criteria=criteria,nointer=nointer,
    label=label,cex.lab=cex.lab, symbol=pch2, couleurs=col2, carte=carte,nocart=nocart,legmap=legmap,legends=legends,axis=axes,
    lablong=lablong, lablat=lablat,method=method,classe=listvar[,which(listnomvar == varChoice1)],labmod=labmod)

       if ((graphChoice != "") && (varChoice1 != "") && (length(dev.list()) > 2))
        {
          graphique(var1=listvar[,which(listnomvar == varChoice1)], var2=listvar[,which(listnomvar == varChoice2)],
          obs=obs, num=4, graph=graphChoice, symbol=pch, couleurs=col3, labvar=c(varChoice1,varChoice2))
        }
}



####################################################
# Choisir une valeur
####################################################

choixvalue <- function()
{
    if(graph=="Densityplot1")
    {
     SGfunc()
     graph<<-"Densityplot2"
    }
  dev.set(3)
  title("ACTIVE DEVICE", cex.main = 0.8, font.main = 3, col.main='red')

  tt1<-tktoplevel()
  Name <- tclVar("1st value")
  Name2 <- tclVar("2nd value")
  entry.Name <-tkentry(tt1,width="8",textvariable=Name)
  entry.Name2 <-tkentry(tt1,width="8",textvariable=Name2)
  tkgrid(tklabel(tt1,text="Please enter values"),entry.Name,entry.Name2)

  OnOK <- function()
   {
	   value1 <<- tclvalue(Name)
	   value2 <<- tclvalue(Name2)
   	 n.inter<-length(polyX2)

	   tkdestroy(tt1)
       if(is.na(as.numeric(value1))||is.na(as.numeric(value2)))
       {
        tkmessageBox(message="Sorry, but you have to choose decimal values",icon="warning",type="ok");
       }
      else
      {
        polyX2[[n.inter+1]]<<- c(as.numeric(value1),as.numeric(value2))
        obs<<-selectstat(var1=var,obs=obs,Xpoly=as.numeric(value1), Ypoly=as.numeric(value2),method="Densityplot")

         # graphiques
        graphique(var1=var, obs=obs, alpha1=alpha1,  num=3, graph=graph, Xpoly=polyX2,
        labvar=labvar, symbol=pch, couleurs=col, kernel=kernel)

        carte(long=long, lat=lat,obs=obs,  sp.obj=sp.obj, buble=buble,cbuble=z,criteria=criteria,nointer=nointer,
        label=label,cex.lab=cex.lab, symbol=pch2, couleurs=col2, carte=carte,nocart=nocart,legmap=legmap,legends=legends,axis=axes,
        lablong=lablong, lablat=lablat,method=method,classe=listvar[,which(listnomvar == varChoice1)],labmod=labmod)

          if ((graphChoice != "") && (varChoice1 != "") && (length(dev.list()) > 2))
           {
            graphique(var1=listvar[,which(listnomvar == varChoice1)], var2=listvar[,which(listnomvar == varChoice2)],
            obs=obs, num=4, graph=graphChoice, symbol=pch, couleurs=col3, labvar=c(varChoice1,varChoice2))
           }
     }
  }



OK.but <-tkbutton(tt1,text="   OK   ",command=OnOK)
#tkbind(entry.Name, "<Return>",OnOK)
tkgrid(OK.but)
tkfocus(tt1)


}

####################################################
# modification du alpha pour l'estimateur de tous les points
####################################################

refresh.code<-function(...)
{

    alpha1<<-slider1(names.slide=names.slide, no=1)
    if(graph=="Densityplot1")
    { if (length(var[obs]) > 1)
       {graphique(var1=var, obs=obs, alpha1=alpha1,  num=3, graph=graph, labvar=labvar,
        symbol=pch, couleurs=col, kernel=kernel)}
       else
       {dev.set(3)
       title(sub = "You have to choose at least two sites to represent the sub-density", cex.sub = 0.8, font.sub = 3,col.sub='red')
       }
    }
    else
    {graphique(var1=var, obs=obs, alpha1=alpha1,  num=3, graph="Densityplot2",
     Xpoly=polyX2, labvar=labvar, symbol=pch, couleurs=col, kernel=kernel)
    }
}

####################################################
# contour des unités spatiales
####################################################
cartfunc <- function()
{
 if (length(carte) != 0)
   {
    ifelse(!nocart,nocart<<-TRUE,nocart<<-FALSE)
    carte(long=long, lat=lat,obs=obs,  sp.obj=sp.obj, buble=buble,cbuble=z,criteria=criteria,nointer=nointer,
    label=label,cex.lab=cex.lab, symbol=pch2, couleurs=col2, carte=carte,nocart=nocart,legmap=legmap,legends=legends,axis=axes,
    lablong=lablong, lablat=lablat,method=method,classe=listvar[,which(listnomvar == varChoice1)],labmod=labmod)
    }
   else
   {
    tkmessageBox(message="Spatial contours have not been given",icon="warning",type="ok")
   }
}


####################################################
# choix d'un autre graphique
####################################################

graphfunc <- function()
{
   if ((length(listvar) != 0) && (length(listnomvar) != 0))
    {
        choix <<- selectgraph(listnomvar,listgraph)
        varChoice1 <<- choix$varChoice1
        varChoice2 <<- choix$varChoice2
        graphChoice <<- choix$graphChoice

        if ((graphChoice != "") && (varChoice1 != ""))
        {
          if (((graphChoice == "Histogram")&&(!is.numeric(listvar[,which(listnomvar == varChoice1)])))||((graphChoice == "Scatterplot")&&((!is.numeric(listvar[,which(listnomvar == varChoice1)]))||(!is.numeric(listvar[,which(listnomvar == varChoice2)])))))
           {
            tkmessageBox(message="Variables choosed are not in a good format",icon="warning",type="ok");
           }
          else
           {
            res1<-choix.couleur(graphChoice,listvar,listnomvar,varChoice1,legends,col,pch, spdf=spdf)

            method <<- res1$method
            col2 <<- res1$col2
            col3 <<- res1$col3
            pch2 <<- res1$pch2
            legends <<- res1$legends
            labmod <<- res1$labmod

            if(!(4%in%dev.list())) dev.new()
            graphique(var1=listvar[,which(listnomvar == varChoice1)], var2=listvar[,which(listnomvar == varChoice2)],
            obs=obs, num=4, graph=graphChoice, couleurs=col3,symbol=pch, labvar=c(varChoice1,varChoice2));

            carte(long=long, lat=lat,obs=obs,  sp.obj=sp.obj, buble=buble,cbuble=z,criteria=criteria,nointer=nointer,
            label=label,cex.lab=cex.lab, symbol=pch2, couleurs=col2,carte=carte,nocart=nocart,legmap=legmap,legends=legends,axis=axes,
            lablong=lablong, lablat=lablat,method=method,classe=listvar[,which(listnomvar == varChoice1)],labmod=labmod)
            }
       }
   }
   else
   {
    tkmessageBox(message="Variables (listvar) and their names (listnomvar) must have been given",icon="warning",type="ok");
   }
}

####################################################
# rafraichissement des graphiques
####################################################

SGfunc<-function()
{
    obs<<-vector(mode = "logical", length = length(long))
    graph<<-"Densityplot1"

    polyX2 <<- NULL

    graphique(var1=var, obs=obs, alpha1=alpha1,  num=3, graph="Densityplot1", labvar=labvar, symbol=pch,
    couleurs=col,kernel=kernel)

    carte(long=long, lat=lat,obs=obs,  sp.obj=sp.obj, buble=buble,cbuble=z,criteria=criteria,nointer=nointer,
    label=label,cex.lab=cex.lab, symbol=pch2, couleurs=col2, carte=carte,nocart=nocart,legmap=legmap,legends=legends,axis=axes,
    lablong=lablong, lablat=lablat,method=method,classe=listvar[,which(listnomvar == varChoice1)],labmod=labmod)

  if ((graphChoice != "") && (varChoice1 != "") && (length(dev.list()) > 2))
   {graphique(var1=listvar[,which(listnomvar == varChoice1)], var2=listvar[,which(listnomvar == varChoice2)],
    obs=obs, num=4, graph=graphChoice, symbol=pch, labvar=c(varChoice1,varChoice2),couleurs=col3)
    }
}

####################################################
# quitter l'application
####################################################

quitfunc<-function()
{
    #tclvalue(fin)<<-TRUE
    tkdestroy(tt)
    assign("GeoXp.open", FALSE, envir = baseenv())
   # assign("obs", row.names(sp.obj)[obs], envir = .GlobalEnv)
}

quitfunc2<-function()
{
    #tclvalue(fin)<<-TRUE
    tkdestroy(tt)
    assign("GeoXp.open", FALSE, envir = baseenv())
    print("Results have been saved in last.select object")
    assign("last.select", which(obs), envir = envir)
}

####################################################
# Open a no interactive selection
####################################################

fnointer<-function()
{
 if (length(criteria) != 0)
 {
  ifelse(!nointer,nointer<<-TRUE,nointer<<-FALSE)
  carte(long=long, lat=lat,obs=obs,  sp.obj=sp.obj, buble=buble,cbuble=z,criteria=criteria,nointer=nointer,
  label=label,cex.lab=cex.lab, symbol=pch2, couleurs=col2, carte=carte,nocart=nocart,legmap=legmap,legends=legends,axis=axes,
  lablong=lablong, lablat=lablat,method=method,classe=listvar[,which(listnomvar == varChoice1)],labmod=labmod)
 }
 else
 {
  tkmessageBox(message="Criteria has not been given",icon="warning",type="ok")
 }

}

####################################################
# Bubble
####################################################

fbubble<-function()
{
  res2<-choix.bubble(buble,listvar,listnomvar,legends)

  buble <<- res2$buble
  legends <<- res2$legends
  z <<- res2$z
  legmap <<- res2$legmap

  carte(long=long, lat=lat,obs=obs,  sp.obj=sp.obj, buble=buble,cbuble=z,criteria=criteria,nointer=nointer,
  label=label,cex.lab=cex.lab, symbol=pch2, couleurs=col2, carte=carte,nocart=nocart,legmap=legmap,legends=legends,axis=axes,
  lablong=lablong, lablat=lablat,method=method,classe=listvar[,which(listnomvar == varChoice1)],labmod=labmod)

}

####################################################
# Représentation graphique
####################################################
# Is there a Tk window already open ?
if(interactive())
{
 if(!exists("GeoXp.open",envir = baseenv())||length(ls(envir=.TkRoot$env, all.names=TRUE))==2)
 {
  graphique(var1=var, obs=obs, alpha1=alpha1,  num=3, graph=graph, Xpoly=polyX2,
  labvar=labvar, symbol=pch, couleurs=col, kernel=kernel)

  carte(long=long, lat=lat,obs=obs,  sp.obj=sp.obj, buble=buble,cbuble=z,criteria=criteria,nointer=nointer,
  label=label,cex.lab=cex.lab, symbol=pch2, couleurs=col2, carte=carte,nocart=nocart,legmap=legmap,legends=legends,axis=axes,
  lablong=lablong, lablat=lablat,method=method,classe=listvar[,which(listnomvar == varChoice1)],labmod=labmod)
  assign("GeoXp.open", TRUE, envir = baseenv())
 }
 else
 {if(get("GeoXp.open",envir= baseenv()))
   {stop("Warning : a GeoXp function is already open. Please, close Tk window before calling a new GeoXp function to avoid conflict between graphics")}
  else
  {graphique(var1=var, obs=obs, alpha1=alpha1,  num=3, graph=graph, Xpoly=polyX2,
   labvar=labvar, symbol=pch, couleurs=col, kernel=kernel)

   carte(long=long, lat=lat,obs=obs,  sp.obj=sp.obj, buble=buble,cbuble=z,criteria=criteria,nointer=nointer,
   label=label,cex.lab=cex.lab, symbol=pch2, couleurs=col2, carte=carte,nocart=nocart,legmap=legmap,legends=legends,axis=axes,
   lablong=lablong, lablat=lablat,method=method,classe=listvar[,which(listnomvar == varChoice1)],labmod=labmod)
   assign("GeoXp.open", TRUE, envir = baseenv())}
 }
}

####################################################
# création de la boite de dialogue
####################################################

if(interactive())
{
fontheading<-tkfont.create(family="times",size=14,weight="bold")

tt <- tktoplevel()
tkwm.title(tt, "densitymap")

frame1a <- tkframe(tt, relief = "groove", borderwidth = 2, background = "white")
tkpack(tklabel(frame1a, text = "Interactive selection", font = "Times 14",
foreground = "blue", background = "white"))
tkpack(tklabel(frame1a, text = "Work on the map", font = "Times 12",
foreground = "darkred", background = "white"))

point.but <- tkbutton(frame1a, text="Selection by point", command=pointfunc);
poly.but <- tkbutton(frame1a, text="Selection by polygon ", command=polyfunc);
tkpack(point.but, poly.but, side = "left", expand = "TRUE", fill = "x")

tkpack(frame1a, expand = "TRUE", fill = "x")

frame1c <- tkframe(tt, relief = "groove", borderwidth = 2, background = "white")
tkpack(tklabel(frame1c, text = "Select an interval on the graphic", font = "Times 12",
foreground = "darkred", background = "white"))
intervalle1.but <- tkbutton(frame1c, text="by selecting on graph", command=interfunc);
intervalle11.but <- tkbutton(frame1c, text="by specifying bounds", command=choixvalue);
tkpack(intervalle1.but,intervalle11.but, side = "left", expand = "TRUE", fill = "x")
tkpack(frame1c, expand = "TRUE", fill = "x")


frame1b <- tkframe(tt, relief = "groove", borderwidth = 2, background = "white")
nettoy.but <- tkbutton(frame1b, text="     Reset selection     " , command=SGfunc);
tkpack(nettoy.but, side = "left", expand = "TRUE", fill = "x")
tkpack(frame1b, expand = "TRUE", fill = "x")


frame2 <- tkframe(tt, relief = "groove", borderwidth = 2, background = "white")
tkpack(tklabel(frame2, text = "Options", font = "Times 14",
foreground = "blue", background = "white"))
tkpack(tklabel(frame2, text = "Spatial contours", font = "Times 11",
foreground = "darkred", background = "white"),tklabel(frame2, text = "Preselected sites", font = "Times 11",
foreground = "darkred", background = "white"), side = "left", fill="x",expand = "TRUE")
tkpack(frame2, expand = "TRUE", fill = "x")

frame2b <- tkframe(tt, relief = "groove", borderwidth = 2, background = "white")
nocou1.but <- tkbutton(frame2b, text="On/Off", command=cartfunc)
noint1.but <- tkbutton(frame2b, text="On/Off", command=fnointer)
tkpack(nocou1.but,noint1.but, side = "left", expand = "TRUE", fill = "x")
tkpack(frame2b, expand = "TRUE", fill = "x")

frame2c <- tkframe(tt, relief = "groove", borderwidth = 2, background = "white")
tkpack(tklabel(frame2c, text = "Bubbles", font = "Times 11",
foreground = "darkred", background = "white"),tklabel(frame2c, text = "Additional graph", font = "Times 11",
foreground = "darkred", background = "white"), side = "left", fill="x",expand = "TRUE")
tkpack(frame2c, expand = "TRUE", fill = "x")

frame2d <- tkframe(tt, relief = "groove", borderwidth = 2, background = "white")
bubble.but <- tkbutton(frame2d, text="On/Off", command=fbubble)
autre.but <- tkbutton(frame2d, text="     OK     " , command=graphfunc)
tkpack(bubble.but,autre.but, side = "left", expand = "TRUE", fill = "x")
tkpack(frame2d, expand = "TRUE", fill = "x")

frame2e <- tkframe(tt, relief = "groove", borderwidth = 2, background = "white")
slider1(frame2e, refresh.code, names.slide, 3, 100, 1, alpha1)
tkpack(frame2e, expand = "TRUE", fill = "x")

frame3 <- tkframe(tt, relief = "groove", borderwidth = 2, background = "white")
tkpack(tklabel(frame3, text = "Exit", font = "Times 14",
foreground = "blue", background = "white"))

quit.but <- tkbutton(frame3, text="Save results", command=quitfunc2);
quit.but2 <- tkbutton(frame3, text="Exit without saving", command=quitfunc);

tkpack(quit.but, quit.but2, side = "left", expand = "TRUE",
        fill = "x")

tkpack(frame3, expand = "TRUE", fill = "x")
}

return(invisible())
}