R/leafsfirst.shape.R

In denpro: Visualization of Multivariate Functions, Sets, and Data

leafsfirst.shape<-function(pcf=NULL, lev=NULL, refe=NULL, levmet="radius",
ordmet="etaisrec", propor=NULL)
{
rho<-0

if (!is.null(propor)) lev<-propor*max(pcf$value)
if (is.null(refe)) refe<-locofmax(pcf)

d<-length(pcf$N)
step<-matrix(0,d,1)
for (i in 1:d) step[i]<-(pcf$support[2*i]-pcf$support[2*i-1])/pcf$N[i]

  lenni<-length(pcf$value)
  distat<-matrix(0,lenni,1)
  infopointer<-matrix(0,lenni,1)
  lkm<-0
  for (i in 1:lenni){
    if (pcf$value[i]>=lev){
       lkm<-lkm+1
       nod<-i  #nod<-pcf$nodefinder[i]
       if (ordmet=="etaisrec"){
           recci<-matrix(0,2*d,1)
           for (jj in 1:d){
              recci[2*jj-1]<-pcf$support[2*jj-1]+step[jj]*(pcf$down[nod,jj])
              recci[2*jj]<-pcf$support[2*jj-1]+step[jj]*pcf$high[nod,jj]
           }
           distat[lkm]<-etaisrec(refe,recci)
       }
       else{
          lowi<-matrix(0,d,1)
          uppi<-matrix(0,d,1)
          for (jj in 1:d){
             lowi[jj]<-pcf$support[2*jj-1]+step[jj]*(pcf$down[nod,jj])
             uppi[jj]<-pcf$support[2*jj-1]+step[jj]*pcf$high[nod,jj]
          }
          baryc<-lowi+(uppi-lowi)/2  
          distat[lkm]<-etais(baryc,refe)
       }
       infopointer[lkm]<-i
    }
  }

distat<-distat[1:lkm]
infopointer<-infopointer[1:lkm]   
#if (length(rho)==1) rho<-rep(rho,lkm)

# order the atoms for the level set with level "lev"

ord<-order(distat)
infopointer<-infopointer[ord]

# create tree

parent<-matrix(0,lkm,1)
child<-matrix(0,lkm,1)
sibling<-matrix(0,lkm,1)
volume<-matrix(0,lkm,1)
radius<-matrix(0,lkm,1)
proba<-matrix(0,lkm,1)
ekamome<-matrix(0,lkm,d)
distcenter<-matrix(0,lkm,d)
branchradius<-matrix(0,lkm,1)

highestNext<-matrix(0,lkm,1)    #pointers to the nodes without parent
boundrec<-matrix(0,lkm,2*d) #for each node, the box which bounds all the c:dren

node<-lkm  #ord[lkm]  #the 1st child node is the one with the longest distance
parent[node]<-0
child[node]<-0
sibling[node]<-0

# radius
radius[node]<-distat[ord[node]]
branchradius[node]<-radius[node]


  # volume calculation
  vol<-1
  k<-1
  ip<-infopointer[node]  #pcf$nodefinder[infopointer[node]]
  while (k<=d){
      vol<-vol*(pcf$high[ip,k]-pcf$down[ip,k])*step[k]
      k<-k+1
  }
  volume[node]<-vol
  ip2<-infopointer[node]
  proba[node]<-pcf$value[ip2]*vol

  # ekamome calculation
  newcente<-matrix(0,d,1)
  for (j in 1:d){
    volmin<-1
    k<-1
    while (k<=d){
       if (k!=j){
          volmin<-volmin*(pcf$high[ip,k]-pcf$down[ip,k])*step[k]
       }
       k<-k+1
    }
    ala<-pcf$support[2*j-1]+step[j]*pcf$down[ip,j]
    yla<-pcf$support[2*j-1]+step[j]*pcf$high[ip,j]
    newcente[j]<-volmin*(yla^2-ala^2)/2
  }
  ekamome[node,]<-newcente
  distcenter[node,]<-newcente/vol

beg<-node             #first without parent
highestNext[node]<-0
note<-infopointer[node]   #note<-pcf$nodefinder[infopointer[node]]
for (i in 1:d){
  boundrec[node,2*i-1]<-pcf$down[note,i]   
  boundrec[node,2*i]<-pcf$high[note,i]  
}

j<-2
while (j<=lkm){
    node<-lkm-j+1   #ord[lkm-j+1]

    # lisaa "node" ensimmaiseksi listaan
    highestNext[node]<-beg  #beg on listan tamanhetkinen ensimmainen
    beg<-node           

    # add node-singleton to boundrec
    rec1<-matrix(0,2*d,1)  #luo sigleton
    note<-infopointer[node]  #note<-pcf$nodefinder[infopointer[node]]
    for (i in 1:d){
         rec1[2*i-1]<-pcf$down[note,i]  
         rec1[2*i]<-pcf$high[note,i] 
    }
    boundrec[node,]<-rec1

    # radius
    radius[node]<-distat[ord[node]]
    branchradius[node]<-radius[node]

       # volume calculation
       vol<-1
       k<-1
       ip<-infopointer[node]    #pcf$nodefinder[infopointer[node]]
       while (k<=d){
          vol<-vol*(pcf$high[ip,k]-pcf$down[ip,k])*step[k]
          k<-k+1
       }
       volume[node]<-vol
       ip2<-infopointer[node]
       proba[node]<-pcf$value[ip2]*vol

       # ekamome calculation
       newcente<-matrix(0,d,1)
       for (jj in 1:d){
            volmin<-1
            k<-1
            while (k<=d){
               if (k!=jj){
                   volmin<-volmin*(pcf$high[ip,k]-pcf$down[ip,k])*step[k]
               }
               k<-k+1
            }
            ala<-pcf$support[2*jj-1]+step[jj]*pcf$down[ip,jj]
            yla<-pcf$support[2*jj-1]+step[jj]*pcf$high[ip,jj]
            newcente[jj]<-volmin*(yla^2-ala^2)/2
       }
       ekamome[node,]<-newcente
       distcenter[node,]<-newcente/vol

    curroot<-highestNext[beg]  #node on 1., listassa ainakin 2
    prevroot<-beg
    ekatouch<-0
    while (curroot>0){
      
        istouch<-touchstep(node,curroot,boundrec,child,sibling,
                           infopointer,pcf$down,pcf$high,rho)
        if (istouch==1){
{
           # paivita parent, child, sibling, volume ekamome
           parent[curroot]<-node           
           if (ekatouch==0) ekatouch<-1 else ekatouch<-0 
           if (ekatouch==1){
              child[node]<-curroot
           }
           else{  # since ekatouch==0, prevroot>0
              sibling[lastsib]<-curroot
           }

              volume[node]<-volume[node]+volume[curroot]
              proba[node]<-proba[node]+proba[curroot]
              ekamome[node,]<-ekamome[node,]+ekamome[curroot,]

           radius[node]<-min(distat[ord[node]],distat[ord[curroot]])
           if (branchradius[node]<=branchradius[curroot]) 
                  distcenter[node,]<-distcenter[curroot,]
           branchradius[node]<-max(branchradius[node],branchradius[curroot])

           # attach box of curroot
           rec1<-boundrec[node,]
           rec2<-boundrec[curroot,] 
           boundrec[node,]<-boundbox(rec1,rec2)
           # poista "curroot" listasta 
           highestNext[prevroot]<-highestNext[curroot]
}
        }     
        # if curroot was not removed, we update prevroot
        # else curroot was removed, we update lastsib
        if (istouch==0) prevroot<-curroot else lastsib<-curroot 
        curroot<-highestNext[curroot]
    }
    j<-j+1
}

root<-1 #ord[1]  #root is the barycenter
# lf is the level set tree or the shape tree

   for (i in 1:lkm){
      for (j in 1:d){
          ekamome[i,j]<-ekamome[i,j]/volume[i]
      }
   }
   bary<-ekamome[root,]

  maxdis<-sqrt(distat[ord[length(ord)]])
  if (levmet=="proba")
     level<-taillevel(root,#child,sibling,
            parent,volume,proba)
  else 
     level<-sqrt(radius)

  lf<-list(
  parent=parent,volume=volume,center=t(ekamome),level=level,
  root=root,
  #child=child,sibling=sibling,  #virhe??
  infopointer=infopointer,
  proba=proba,#radius=radius,
  #branchradius=sqrt(branchradius),
  distcenter=t(distcenter),
  refe=refe,maxdis=maxdis,bary=bary,lev=lev)

return(lf)
}