Send output to:
Browser Blue - Charts White
Browser Black/White
CSV
Data X:
-20.286 -19.188 -12.489 12.524 -17.320 -18.183 -26.199 -7.417 -6.292 -6.022 -1.695 -0.368 -28.388 -18.524 -12.536 -11.631 -12.291 -8.682 -14.691 -17.360 -21.873 -14.531 -8.445 -1.836 10.500 17.897 18.312 44.853 82.821 57.647 44.737 44.705 64.243 39.752 46.444 67.940 51.209 57.739 74.377 56.231 48.788 42.781 28.965 41.528 27.437 47.397 54.387 56.079 75.792 127.288 184.410 127.691 116.945 118.555 149.008 150.618 80.590 77.625 70.009 79.853
Data Y:
-3.309 -7.848 -7.623 -0.690 -9.257 -7.994 -8.821 -9.128 -5.279 -2.897 -0.449 4.715 -1.789 -3.053 -0.316 -1.543 -1.068 -4.514 -0.368 -1.128 0.954 7.215 5.900 15.042 22.324 31.118 30.150 35.339 53.021 44.876 44.384 47.714 43.508 38.197 40.919 48.959 46.581 51.247 54.084 50.990 53.913 51.607 49.107 52.365 53.633 69.907 81.149 80.530 95.690 113.137 131.453 107.299 98.210 106.509 119.869 113.953 92.043 107.453 73.727 86.374
Sample Range:
(leave blank to include all observations)
From:
To:
Factor (defining the loop)
Show outliers
TRUE
TRUE
FALSE
Show whiskers
TRUE
TRUE
FALSE
Chart options
Title:
Label y-axis:
Label x-axis:
R Code
par1 <- as.numeric(par1) #factor if (par2 == 'TRUE') par2 <- TRUE else par2 <- FALSE if (par3 == 'TRUE') par3 <- TRUE else par3 <- FALSE library(rpart) compute.bagplot<-function(x,y, factor=3, # expanding factor for bag to get the loop approx.limit=300, # limit dkmethod=2, # in 1:2; there are two methods for approximating the bag precision=1, # controls precisionn of computation verbose=FALSE,debug.plots='no' # tools for debugging ){ win<-function(dx,dy){ atan2(y=dy,x=dx) } out.of.polygon<-function(xy,pg){ if(nrow(pg)==1) return(pg) pgcenter<-apply(pg,2,mean) pg<-cbind(pg[,1]-pgcenter[1],pg[,2]-pgcenter[2]) xy<-cbind(xy[,1]-pgcenter[1],xy[,2]-pgcenter[2]) extr<-rep(FALSE,nrow(xy)) for(i in seq(nrow(xy))){ alpha<-sort((win(xy[i,1]-pg[,1],xy[i,2]-pg[,2]))%%(2*pi)) extr[i]<-pi<max(diff(alpha)) | pi<(alpha[1]+2*pi-alpha[length(alpha)]) } extr } cut.z.pg<-function(zx,zy,p1x,p1y,p2x,p2y){ a2<-(p2y-p1y)/(p2x-p1x); a1<-zy/zx sx<-(p1y-a2*p1x)/(a1-a2); sy<-a1*sx sxy<-cbind(sx,sy) h<-any(is.nan(sxy))||any(is.na(sxy))||any(Inf==abs(sxy)) if(h){ if(!exists('verbose')) verbose<-FALSE if(verbose) cat('special') h<-0==(a1-a2) & sign(zx)==sign(p1x) sx<-ifelse(h,p1x,sx); sy<-ifelse(h,p1y,sy) h<-0==(a1-a2) & sign(zx)!=sign(p1x) sx<-ifelse(h,p2x,sx); sy<-ifelse(h,p2y,sy) h<-p1x==p2x & zx!=p1x & p1x!=0 sx<-ifelse(h,p1x,sx); sy<-ifelse(h,zy*p1x/zx,sy) h<-p1x==p2x & zx!=p1x & p1x==0 sx<-ifelse(h,p1x,sx); sy<-ifelse(h,0,sy) h<-p1x==p2x & zx==p1x & p1x==0 & sign(zy)==sign(p1y) sx<-ifelse(h,p1x,sx); sy<-ifelse(h,p1y,sy) h<-p1x==p2x & zx==p1x & p1x==0 & sign(zy)!=sign(p1y) sx<-ifelse(h,p1x,sx); sy<-ifelse(h,p2y,sy) h<-zx==p1x & zy==p1y; sx<-ifelse(h,p1x,sx); sy<-ifelse(h,p1y,sy) h<-zx==p2x & zy==p2y; sx<-ifelse(h,p2x,sx); sy<-ifelse(h,p2y,sy) h<-zx==0 & zy==0; sx<-ifelse(h,0,sx); sy<-ifelse(h,0,sy) sxy<-cbind(sx,sy) } # end of special cases if(!exists('debug.plots')) debug.plots<-'no' if(debug.plots=='all'){ segments(sxy[,1],sxy[,2],zx,zy,col='red') segments(0,0,sxy[,1],sxy[,2],type='l',col='green',lty=2) points(sxy,col='red') } return(sxy) } find.cut.z.pg<-function(z,pg,center=c(0,0),debug.plots='no'){ if(!is.matrix(z)) z<-rbind(z) if(1==nrow(pg)) return(matrix(center,nrow(z),2,TRUE)) n.pg<-nrow(pg); n.z<-nrow(z) z<-cbind(z[,1]-center[1],z[,2]-center[2]) pgo<-pg; pg<-cbind(pg[,1]-center[1],pg[,2]-center[2]) if(!exists('debug.plots')) debug.plots<-'no' if(debug.plots=='all'){plot(rbind(z,pg,0),bty='n'); points(z,pch='p') lines(c(pg[,1],pg[1,1]),c(pg[,2],pg[1,2]))} apg<-win(pg[,1],pg[,2]) apg[is.nan(apg)]<-0; a<-order(apg); apg<-apg[a]; pg<-pg[a,] az<-win(z[,1],z[,2]) segm.no<-apply((outer(apg,az,'<')),2,sum) segm.no<-ifelse(segm.no==0,n.pg,segm.no) next.no<-1+(segm.no %% length(apg)) cuts<-cut.z.pg(z[,1],z[,2],pg[segm.no,1],pg[segm.no,2], pg[next.no,1],pg[next.no,2]) cuts<-cbind(cuts[,1]+center[1],cuts[,2]+center[2]) return(cuts) } hdepth.of.points<-function(tp,n){ n.tp<-nrow(tp) tphdepth<-rep(0,n.tp); dpi<-2*pi-0.000001 minusplus<-c(rep(-1,n),rep(1,n)) for(j in 1:n.tp) { dx<-tp[j,1]-xy[,1]; dy<-tp[j,2]-xy[,2] a<-win(dx,dy)+pi; h<-a<10;a<-a[h]; ident<-sum(!h) init<-sum(a < pi); a.shift<-(a+pi) %% dpi h<-cumsum(minusplus[order(c(a,a.shift))]) tphdepth[j]<-init+min(h)+1 } tphdepth } expand.hull<-function(pg,k){ resolution<-floor(20*precision) pg0<-xy[hdepth==1,] pg0<-pg0[chull(pg0[,1],pg0[,2]),] end.points<-find.cut.z.pg(pg,pg0,center=center,debug.plots=debug.plots) lam<-((0:resolution)^1)/resolution^1 pg.new<-pg for(i in 1:nrow(pg)){ tp<-cbind(pg[i,1]+lam*(end.points[i,1]-pg[i,1]), pg[i,2]+lam*(end.points[i,2]-pg[i,2])) hd.tp<-hdepth.of.points(tp,nrow(xy)) ind<-max(sum(hd.tp>=k),1) if(ind<length(hd.tp)){ # hd.tp[ind]>k && tp<-cbind(tp[ind,1]+lam*(tp[ind+1,1]-tp[ind,1]), tp[ind,2]+lam*(tp[ind+1,2]-tp[ind,2])) hd.tp<-hdepth.of.points(tp,nrow(xy)) ind<-max(sum(hd.tp>=k),1) } pg.new[i,]<-tp[ind,] } pg.new<-pg.new[chull(pg.new[,1],pg.new[,2]),] pg.add<-0.5*(pg.new+rbind(pg.new[-1,],pg.new[1,])) end.points<-find.cut.z.pg(pg,pg0,center=center) for(i in 1:nrow(pg.add)){ tp<-cbind(pg.add[i,1]+lam*(end.points[i,1]-pg.add[i,1]), pg.add[i,2]+lam*(end.points[i,2]-pg.add[i,2])) hd.tp<-hdepth.of.points(tp,nrow(xy)) ind<-max(sum(hd.tp>=k),1) if(ind<length(hd.tp)){ # hd.tp[ind]>k && tp<-cbind(tp[ind,1]+lam*(tp[ind+1,1]-tp[ind,1]), tp[ind,2]+lam*(tp[ind+1,2]-tp[ind,2])) hd.tp<-hdepth.of.points(tp,nrow(xy)) ind<-max(sum(hd.tp>=k),1) } pg.add[i,]<-tp[ind,] } pg.new<-rbind(pg.new,pg.add) pg.new<-pg.new[chull(pg.new[,1],pg.new[,2]),] } cut.p.sl.p.sl<-function(xy1,m1,xy2,m2){ sx<-(xy2[2]-m2*xy2[1]-xy1[2]+m1*xy1[1])/(m1-m2) sy<-xy1[2]-m1*xy1[1]+m1*sx if(!is.nan(sy)) return( c(sx,sy) ) if(abs(m1)==Inf) return( c(xy1[1],xy2[2]+m2*(xy1[1]-xy2[1])) ) if(abs(m2)==Inf) return( c(xy2[1],xy1[2]+m1*(xy2[1]-xy1[1])) ) } pos.to.pg<-function(z,pg,reverse=FALSE){ if(reverse){ int.no<-apply(outer(pg[,1],z[,1],'>='),2,sum) zy.on.pg<-pg[int.no,2]+pg[int.no,3]*(z[,1]-pg[int.no,1]) }else{ int.no<-apply(outer(pg[,1],z[,1],'<='),2,sum) zy.on.pg<-pg[int.no,2]+pg[int.no,3]*(z[,1]-pg[int.no,1]) } ifelse(z[,2]<zy.on.pg, 'lower','higher') } xydata<-if(missing(y)) x else cbind(x,y) if(is.data.frame(xydata)) xydata<-as.matrix(xydata) very.large.data.set<-nrow(xydata)>approx.limit if(!exists('.Random.seed')) set.seed(13) save.seed<-.Random.seed if(very.large.data.set){ ind<-sample(seq(nrow(xydata)),size=approx.limit) xy<-xydata[ind,] } else xy<-xydata n<-nrow(xy) points.in.bag<-floor(n/2) assign('.Random.seed',save.seed,env=.GlobalEnv) if(verbose) cat('end of initialization') prdata<-prcomp(xydata) is.one.dim<-(min(prdata[[1]])/max(prdata[[1]]))<0.0001 if(is.one.dim){ if(verbose) cat('data set one dimensional') center<-colMeans(xydata) res<-list(xy=xy,xydata=xydata,prdata=prdata,is.one.dim=is.one.dim,center=center) class(res)<-'bagplot' return(res) } if(verbose) cat('data not linear') dx<-(outer(xy[,1],xy[,1],'-')) dy<-(outer(xy[,2],xy[,2],'-')) alpha<-atan2(y=dy,x=dx); diag(alpha)<-1200 for(j in 1:n) alpha[,j]<-sort(alpha[,j]) alpha<-alpha[-n,] ; m<-n-1 if(debug.plots=='all'){ plot(xy,bty='n'); xdelta<-abs(diff(range(xy[,1]))); dx<-xdelta*.3 for(j in 1:n) { p<-xy[j,]; dy<-dx*tan(alpha[,j]) segments(p[1]-dx,p[2]-dy,p[1]+dx,p[2]+dy,col=j) text(p[1]-xdelta*.02,p[2],j,col=j) } } if(verbose) print('end of computation of angles') hdepth<-rep(0,n); dpi<-2*pi-0.000001 minusplus<-c(rep(-1,m),rep(1,m)) for(j in 1:n) { a<-alpha[,j]+pi; h<-a<10; a<-a[h]; init<-sum(a < pi) # hallo a.shift<-(a+pi) %% dpi h<-cumsum(minusplus[order(c(a,a.shift))]) hdepth[j]<-init+min(h)+1 # or do we have to count identical points?: } if(verbose){print('end of computation of hdepth:'); print(hdepth)} if(debug.plots=='all'){ plot(xy,bty='n') xdelta<-abs(diff(range(xy[,1]))); dx<-xdelta*.1 for(j in 1:n) { a<-alpha[,j]+pi; a<-a[a<10]; init<-sum(a < pi) a.shift<-(a+pi) %% dpi h<-cumsum(minusplus[ao<-(order(c(a,a.shift)))]) no<-which((init+min(h)) == (init+h))[1] p<-xy[j,]; dy<-dx*tan(alpha[,j]) segments(p[1]-dx,p[2]-dy,p[1]+dx,p[2]+dy,col=j,lty=3) dy<-dx*tan(c(sort(a),sort(a))[no]) segments(p[1]-5*dx,p[2]-5*dy,p[1]+5*dx,p[2]+5*dy,col='black') text(p[1]-xdelta*.02,p[2],hdepth[j],col=1,cex=2.5) } } hd.table<-table(sort(hdepth)) d.k<-cbind(dk=rev(cumsum(rev(hd.table))), k =as.numeric(names(hd.table))) k.1<-sum(points.in.bag<d.k[,1]) if(nrow(d.k)>1){ k<-d.k[k.1+1,2] } else { k<-d.k[k.1,2] } if(verbose){cat('counts of members of dk:'); print(hd.table)} if(verbose){cat('end of computation of k, k=',k)} center<-apply(xy[which(hdepth==max(hdepth)),,drop=FALSE],2,mean) hull.center<-NULL if(10<nrow(xy)&&length(hd.table)>2){ n.p<-floor(c(32,16,8)[1+(n>50)+(n>200)]*precision) cands<-xy[rev(order(hdepth))[1:6],] cands<-cands[chull(cands[,1],cands[,2]),]; n.c<-nrow(cands) xyextr<-rbind(apply(cands,2,min),apply(cands,2,max)) h1<-seq(xyextr[1,1],xyextr[2,1],length=n.p) h2<-seq(xyextr[1,2],xyextr[2,2],length=n.p) tp<-cbind(matrix(h1,n.p,n.p)[1:n.p^2], matrix(h2,n.p,n.p,TRUE)[1:n.p^2]) tphdepth<-hdepth.of.points(tp,n) hull.center<-tp[which(tphdepth>=(max(tphdepth))),,drop=FALSE] center<-apply(hull.center,2,mean) cands<-hull.center[chull(hull.center[,1],hull.center[,2]),,drop=F] xyextr<-rbind(apply(cands,2,min),apply(cands,2,max)) xydel<-(xyextr[2,]-xyextr[1,])/n.p xyextr<-rbind(xyextr[1,]-xydel,xyextr[2,]+xydel) h1<-seq(xyextr[1,1],xyextr[2,1],length=n.p) h2<-seq(xyextr[1,2],xyextr[2,2],length=n.p) tp<-cbind(matrix(h1,n.p,n.p)[1:n.p^2], matrix(h2,n.p,n.p,TRUE)[1:n.p^2]) tphdepth<-hdepth.of.points(tp,n) hull.center<-tp[which(tphdepth>=max(tphdepth)),,drop=FALSE] center<-apply(hull.center,2,mean) hull.center<-hull.center[chull(hull.center[,1],hull.center[,2]),] if(verbose){cat('hull.center',hull.center); print(table(tphdepth)) } } if(verbose) cat('center depth:',hdepth.of.points(rbind(center),n)) if(verbose){print('end of computation of center'); print(center)} if(dkmethod==1){ xyi<-xy[hdepth>=k,,drop=FALSE] pdk<-xyi[chull(xyi[,1],xyi[,2]),,drop=FALSE] xyo<-xy[hdepth>=(k-1),,drop=FALSE] pdk.1<-xyo[chull(xyo[,1],xyo[,2]),,drop=FALSE] if(verbose)cat('hull computed:') if(debug.plots=='all'){ plot(xy,bty='n') h<-rbind(pdk,pdk[1,]); lines(h,col='red',lty=2) h<-rbind(pdk.1,pdk.1[1,]);lines(h,col='blue',lty=3) points(center[1],center[2],pch=8,col='red') } exp.dk<-expand.hull(pdk,k) exp.dk.1<-expand.hull(exp.dk,k-1) # pdk.1,k-1,20) }else{ num<-floor(c(417,351,171,85,67,43)[sum(n>c(1,50,100,150,200,250))]*precision) num.h<-floor(num/2); angles<-seq(0,pi,length=num.h) ang<-tan(pi/2-angles) xym<-apply(xy,2,mean); xysd<-apply(xy,2,sd) xyxy<-cbind((xy[,1]-xym[1])/xysd[1],(xy[,2]-xym[2])/xysd[2]) kkk<-k ia<-1; a<-angles[ia]; xyt<-xyxy%*%c(cos(a),-sin(a)); xyto<-order(xyt) ind.k <-xyto[kkk]; cutp<-c(xyxy[ind.k,1],-10) dxy<-diff(range(xyxy)) pg<-rbind(c(cutp[1],-dxy,Inf),c(cutp[1],dxy,NA)) ind.kk<-xyto[n+1-kkk]; cutpl<-c(xyxy[ind.kk,1],10) pgl<-rbind(c(cutpl[1],dxy,Inf),c(cutpl[1],-dxy,NA)) if(debug.plots=='all'){ plot(xyxy,type='p',bty='n') } for(ia in seq(angles)[-1]){ a<-angles[ia]; angtan<-ang[ia]; xyt<-xyxy%*%c(cos(a),-sin(a)); xyto<-order(xyt) ind.k <-xyto[kkk]; ind.kk<-xyto[n+1-kkk]; pnew<-xyxy[ind.k,]; pnewl<-xyxy[ind.kk,] if(debug.plots=='all') points(pnew[1],pnew[2],col='red') if(abs(angtan)>1e10){ ### cat('y=c case') pg.no<-sum(pg[,1]<pnew[1]) cutp<-c(pnew[1],pg[pg.no,2]+pg[pg.no,3]*(pnew[1]-pg[pg.no,1])) pg.nol<-sum(pgl[,1]>=pnewl[1]) cutpl<-c(pnewl[1],pgl[pg.nol,2]+pgl[pg.nol,3]*(pnewl[1]-pgl[pg.nol,1])) }else{ ### cat('normal case') pg.inter<-pg[,2]-angtan*pg[,1]; pnew.inter<-pnew[2]-angtan*pnew[1] pg.no<-sum(pg.inter<pnew.inter) cutp<-cut.p.sl.p.sl(pnew,ang[ia],pg[pg.no,1:2],pg[pg.no,3]) pg.interl<-pgl[,2]-angtan*pgl[,1]; pnew.interl<-pnewl[2]-angtan*pnewl[1] pg.nol<-sum(pg.interl>pnew.interl) cutpl<-cut.p.sl.p.sl(pnewl,angtan,pgl[pg.nol,1:2],pgl[pg.nol,3]) } pg<-rbind(pg[1:pg.no,],c(cutp,angtan),c(cutp[1]+dxy, cutp[2]+angtan*dxy,NA)) pgl<-rbind(pgl[1:pg.nol,],c(cutpl,angtan),c(cutpl[1]-dxy, cutpl[2]-angtan*dxy,NA)) if(debug.plots=='all'){ points(pnew[1],pnew[2],col='red') hx<-xyxy[ind.k,c(1,1)]; hy<-xyxy[ind.k,c(2,2)] segments(hx,hy,c(10,-10),hy+ang[ia]*(c(10,-10)-hx),lty=2) points(cutpl[1],cutpl[2],col='red') hx<-xyxy[ind.kk,c(1,1)]; hy<-xyxy[ind.kk,c(2,2)] segments(hx,hy,c(10,-10),hy+ang[ia]*(c(10,-10)-hx),lty=2) } } pg<-pg[-nrow(pg),][-1,,drop=F]; pgl<-pgl[-nrow(pgl),][-1,,drop=FALSE] indl<-pos.to.pg(pgl,pg); indu<-pos.to.pg(pg,pgl,TRUE) npg<-nrow(pg); npgl<-nrow(pgl) rnuml<-rnumu<-lnuml<-lnumu<-0; sl<-pg[1,1:2]; sr<-pgl[1,1:2] if(indl[1]=='higher'&indu[npg]=='lower'){ rnuml<-which(indl=='lower')[1]-1; xyl<-pgl[rnuml,] # rnumu<-which(rev(indu=='higher'))[1]; xyu<-pg[npg+1-rnumu,] # sr<-cut.p.sl.p.sl(xyl[1:2],xyl[3],xyu[1:2],xyu[3]) } if(indl[npgl]=='higher'&indu[1]=='lower'){ lnuml<-which(rev(indl=='lower'))[1]; xyl<-pgl[npgl+1-lnuml,] # lnumu<-which(indu=='higher')[1]-1; xyu<-pg[lnumu,] #? sl<-cut.p.sl.p.sl(xyl[1:2],xyl[3],xyu[1:2],xyu[3]) } pgl<-pgl[(rnuml+1):(npgl-lnuml),1:2,drop=FALSE] pg <-pg [(lnumu+1):(npg -rnumu),1:2,drop=FALSE] pg<-rbind(pg,sr,pgl,sl) pg<-pg[chull(pg[,1],pg[,2]),] if(debug.plots=='all') lines(rbind(pg,pg[1,]),col='red') exp.dk<-cbind(pg[,1]*xysd[1]+xym[1],pg[,2]*xysd[2]+xym[2]) if(kkk>1) kkk<-kkk-1 ia<-1; a<-angles[ia]; xyt<-xyxy%*%c(cos(a),-sin(a)); xyto<-order(xyt) ind.k <-xyto[kkk]; cutp<-c(xyxy[ind.k,1],-10) dxy<-diff(range(xyxy)) pg<-rbind(c(cutp[1],-dxy,Inf),c(cutp[1],dxy,NA)) ind.kk<-xyto[n+1-kkk]; cutpl<-c(xyxy[ind.kk,1],10) pgl<-rbind(c(cutpl[1],dxy,Inf),c(cutpl[1],-dxy,NA)) if(debug.plots=='all'){ plot(xyxy,type='p',bty='n') } for(ia in seq(angles)[-1]){ a<-angles[ia]; angtan<-ang[ia]; xyt<-xyxy%*%c(cos(a),-sin(a)); xyto<-order(xyt) ind.k <-xyto[kkk]; ind.kk<-xyto[n+1-kkk]; pnew<-xyxy[ind.k,]; pnewl<-xyxy[ind.kk,] if(debug.plots=='all') points(pnew[1],pnew[2],col='red') if(abs(angtan)>1e10){ ### cat('y=c case') pg.no<-sum(pg[,1]<pnew[1]) cutp<-c(pnew[1],pg[pg.no,2]+pg[pg.no,3]*(pnew[1]-pg[pg.no,1])) pg.nol<-sum(pgl[,1]>=pnewl[1]) cutpl<-c(pnewl[1],pgl[pg.nol,2]+pgl[pg.nol,3]*(pnewl[1]-pgl[pg.nol,1])) }else{ ### cat('normal case') pg.inter<-pg[,2]-angtan*pg[,1]; pnew.inter<-pnew[2]-angtan*pnew[1] pg.no<-sum(pg.inter<pnew.inter) cutp<-cut.p.sl.p.sl(pnew,ang[ia],pg[pg.no,1:2],pg[pg.no,3]) pg.interl<-pgl[,2]-angtan*pgl[,1]; pnew.interl<-pnewl[2]-angtan*pnewl[1] pg.nol<-sum(pg.interl>pnew.interl) cutpl<-cut.p.sl.p.sl(pnewl,angtan,pgl[pg.nol,1:2],pgl[pg.nol,3]) } pg<-rbind(pg[1:pg.no,],c(cutp,angtan),c(cutp[1]+dxy, cutp[2]+angtan*dxy,NA)) pgl<-rbind(pgl[1:pg.nol,],c(cutpl,angtan),c(cutpl[1]-dxy, cutpl[2]-angtan*dxy,NA)) if(debug.plots=='all'){ points(pnew[1],pnew[2],col='red') hx<-xyxy[ind.k,c(1,1)]; hy<-xyxy[ind.k,c(2,2)] segments(hx,hy,c(10,-10),hy+ang[ia]*(c(10,-10)-hx),lty=2) points(cutpl[1],cutpl[2],col='red') hx<-xyxy[ind.kk,c(1,1)]; hy<-xyxy[ind.kk,c(2,2)] segments(hx,hy,c(10,-10),hy+ang[ia]*(c(10,-10)-hx),lty=2) } } pg<-pg[-nrow(pg),][-1,,drop=F]; pgl<-pgl[-nrow(pgl),][-1,,drop=FALSE] indl<-pos.to.pg(pgl,pg); indu<-pos.to.pg(pg,pgl,TRUE) npg<-nrow(pg); npgl<-nrow(pgl) rnuml<-rnumu<-lnuml<-lnumu<-0; sl<-pg[1,1:2]; sr<-pgl[1,1:2] if(indl[1]=='higher'&indu[npg]=='lower'){ rnuml<-which(indl=='lower')[1]-1; xyl<-pgl[rnuml,] # rnumu<-which(rev(indu=='higher'))[1]; xyu<-pg[npg+1-rnumu,] # sr<-cut.p.sl.p.sl(xyl[1:2],xyl[3],xyu[1:2],xyu[3]) } if(indl[npgl]=='higher'&indu[1]=='lower'){ lnuml<-which(rev(indl=='lower'))[1]; xyl<-pgl[npgl+1-lnuml,] # lnumu<-which(indu=='higher')[1]-1; xyu<-pg[lnumu,] #? sl<-cut.p.sl.p.sl(xyl[1:2],xyl[3],xyu[1:2],xyu[3]) } pgl<-pgl[(rnuml+1):(npgl-lnuml),1:2,drop=FALSE] pg <-pg [(lnumu+1):(npg -rnumu),1:2,drop=FALSE] pg<-rbind(pg,sr,pgl,sl) pg<-pg[chull(pg[,1],pg[,2]),] if(debug.plots=='all') lines(rbind(pg,pg[1,]),col='red') exp.dk.1<-cbind(pg[,1]*xysd[1]+xym[1],pg[,2]*xysd[2]+xym[2]) } lambda<-if(nrow(d.k)==1) 0.5 else (n/2-d.k[k.1+1,1])/(d.k[k.1,1]-d.k[k.1+1,1]) if(verbose) cat('lambda',lambda) cut.on.pdk.1<-find.cut.z.pg(exp.dk, exp.dk.1,center=center) cut.on.pdk <-find.cut.z.pg(exp.dk.1,exp.dk, center=center) h1<-(1-lambda)*exp.dk+lambda*cut.on.pdk.1 h2<-(1-lambda)*cut.on.pdk+lambda*exp.dk.1 h<-rbind(h1,h2); hull.bag<-h[chull(h[,1],h[,2]),] if(verbose)cat('bag completed:') #if(verbose)print(hull.bag) if(debug.plots=='all'){ lines(hull.bag,col='red') } hull.loop<-cbind(hull.bag[,1]-center[1],hull.bag[,2]-center[2]) hull.loop<-factor*hull.loop hull.loop<-cbind(hull.loop[,1]+center[1],hull.loop[,2]+center[2]) if(verbose) cat('loop computed') if(!very.large.data.set){ pxy.bag <-xydata[hdepth>= k ,,drop=FALSE] pkt.cand <-xydata[hdepth==(k-1),,drop=FALSE] pkt.not.bag<-xydata[hdepth< (k-1),,drop=FALSE] if(length(pkt.cand)>0){ outside<-out.of.polygon(pkt.cand,hull.bag) if(sum(!outside)>0) pxy.bag <-rbind(pxy.bag, pkt.cand[!outside,]) if(sum( outside)>0) pkt.not.bag<-rbind(pkt.not.bag, pkt.cand[ outside,]) } }else { extr<-out.of.polygon(xydata,hull.bag) pxy.bag <-xydata[!extr,] pkt.not.bag<-xydata[extr,,drop=FALSE] } if(length(pkt.not.bag)>0){ extr<-out.of.polygon(pkt.not.bag,hull.loop) pxy.outlier<-pkt.not.bag[extr,,drop=FALSE] if(0==length(pxy.outlier)) pxy.outlier<-NULL pxy.outer<-pkt.not.bag[!extr,,drop=FALSE] }else{ pxy.outer<-pxy.outlier<-NULL } if(verbose) cat('points of bag, outer points and outlier identified') hull.loop<-rbind(pxy.outer,hull.bag) hull.loop<-hull.loop[chull(hull.loop[,1],hull.loop[,2]),] if(verbose) cat('end of computation of loop') assign('.Random.seed',save.seed,env=.GlobalEnv) res<-list( center=center, pxy.bag=pxy.bag, pxy.outer=if(length(pxy.outer)>0) pxy.outer else NULL, pxy.outlier=if(length(pxy.outlier)>0) pxy.outlier else NULL, hull.center=hull.center, hull.bag=hull.bag, hull.loop=hull.loop, hdepths=hdepth, is.one.dim=is.one.dim, prdata=prdata, xy=xy,xydata=xydata ) if(verbose) res<-c(res,list(exp.dk=exp.dk,exp.dk.1=exp.dk.1,hdepth=hdepth)) class(res)<-'bagplot' return(res) } plot.bagplot<-function(bagplot.obj, show.outlier=TRUE,# if TRUE outlier are shown show.whiskers=TRUE, # if TRUE whiskers are shown show.looppoints=TRUE, # if TRUE points in loop are shown show.bagpoints=TRUE, # if TRUE points in bag are shown show.loophull=TRUE, # if TRUE loop is shown show.baghull=TRUE, # if TRUE bag is shown add=FALSE, # if TRUE graphical elements are added to actual plot pch=16,cex=.4,..., # to define further parameters of plot verbose=FALSE # tools for debugging ){ win<-function(dx,dy){ atan2(y=dy,x=dx) } cut.z.pg<-function(zx,zy,p1x,p1y,p2x,p2y){ a2<-(p2y-p1y)/(p2x-p1x); a1<-zy/zx sx<-(p1y-a2*p1x)/(a1-a2); sy<-a1*sx sxy<-cbind(sx,sy) h<-any(is.nan(sxy))||any(is.na(sxy))||any(Inf==abs(sxy)) if(h){ if(!exists('verbose')) verbose<-FALSE if(verbose) cat('special') h<-0==(a1-a2) & sign(zx)==sign(p1x) sx<-ifelse(h,p1x,sx); sy<-ifelse(h,p1y,sy) h<-0==(a1-a2) & sign(zx)!=sign(p1x) sx<-ifelse(h,p2x,sx); sy<-ifelse(h,p2y,sy) h<-p1x==p2x & zx!=p1x & p1x!=0 sx<-ifelse(h,p1x,sx); sy<-ifelse(h,zy*p1x/zx,sy) h<-p1x==p2x & zx!=p1x & p1x==0 sx<-ifelse(h,p1x,sx); sy<-ifelse(h,0,sy) h<-p1x==p2x & zx==p1x & p1x==0 & sign(zy)==sign(p1y) sx<-ifelse(h,p1x,sx); sy<-ifelse(h,p1y,sy) h<-p1x==p2x & zx==p1x & p1x==0 & sign(zy)!=sign(p1y) sx<-ifelse(h,p1x,sx); sy<-ifelse(h,p2y,sy) h<-zx==p1x & zy==p1y; sx<-ifelse(h,p1x,sx); sy<-ifelse(h,p1y,sy) h<-zx==p2x & zy==p2y; sx<-ifelse(h,p2x,sx); sy<-ifelse(h,p2y,sy) h<-zx==0 & zy==0; sx<-ifelse(h,0,sx); sy<-ifelse(h,0,sy) sxy<-cbind(sx,sy) } # end of special cases if(!exists('debug.plots')) debug.plots<-'no' if(debug.plots=='all'){ segments(sxy[,1],sxy[,2],zx,zy,col='red') segments(0,0,sxy[,1],sxy[,2],type='l',col='green',lty=2) points(sxy,col='red') } return(sxy) } find.cut.z.pg<-function(z,pg,center=c(0,0),debug.plots='no'){ if(!is.matrix(z)) z<-rbind(z) if(1==nrow(pg)) return(matrix(center,nrow(z),2,TRUE)) n.pg<-nrow(pg); n.z<-nrow(z) z<-cbind(z[,1]-center[1],z[,2]-center[2]) pgo<-pg; pg<-cbind(pg[,1]-center[1],pg[,2]-center[2]) if(!exists('debug.plots')) debug.plots<-'no' if(debug.plots=='all'){plot(rbind(z,pg,0),bty='n'); points(z,pch='p') lines(c(pg[,1],pg[1,1]),c(pg[,2],pg[1,2]))} apg<-win(pg[,1],pg[,2]) apg[is.nan(apg)]<-0; a<-order(apg); apg<-apg[a]; pg<-pg[a,] az<-win(z[,1],z[,2]) segm.no<-apply((outer(apg,az,'<')),2,sum) segm.no<-ifelse(segm.no==0,n.pg,segm.no) next.no<-1+(segm.no %% length(apg)) cuts<-cut.z.pg(z[,1],z[,2],pg[segm.no,1],pg[segm.no,2], pg[next.no,1],pg[next.no,2]) cuts<-cbind(cuts[,1]+center[1],cuts[,2]+center[2]) return(cuts) } for(i in seq(along=bagplot.obj)) eval(parse(text=paste(names(bagplot.obj)[i],'<-bagplot.obj[[',i,']]'))) if(is.one.dim){ if(verbose) cat('data set one dimensional') prdata<-prdata[[2]]; trdata<-xydata%*%prdata; ytr<-mean(trdata[,2]) boxplotres<-boxplot(trdata[,1],plot=FALSE) dy<-0.1*diff(range(stats<-boxplotres$stats)) dy<-0.05*mean(c(diff(range(xydata[,1])), diff(range(xydata[,2])))) segtr<-rbind(cbind(stats[2:4],ytr-dy,stats[2:4],ytr+dy), cbind(stats[c(2,2)],ytr+c(dy,-dy), stats[c(4,4)],ytr+c(dy,-dy)), cbind(stats[c(2,4)],ytr,stats[c(1,5)],ytr)) segm<-cbind(segtr[,1:2]%*%t(prdata), segtr[,3:4]%*%t(prdata)) if(!add) plot(xydata,type='n',bty='n',pch=16,cex=.2,...) extr<-c(min(segm[6,3],segm[7,3]),max(segm[6,3],segm[7,3])) extr<-extr+c(-1,1)*0.000001*diff(extr) xydata<-xydata[xydata[,1]<extr[1] | xydata[,1]>extr[2],,drop=FALSE] if(0<nrow(xydata))points(xydata[,1],xydata[,2],pch=pch,cex=cex) segments(segm[,1],segm[,2],segm[,3],segm[,4],) return('one dimensional boxplot plottet') } if(!add) plot(xydata,type='n',pch=pch,cex=cex,bty='n',...) if(verbose) text(xy[,1],xy[,2],paste(as.character(hdepth)),cex=2) if(show.loophull){ # fill loop h<-rbind(hull.loop,hull.loop[1,]); lines(h[,1],h[,2],lty=1) polygon(hull.loop[,1],hull.loop[,2],col='#aaccff') } if(show.looppoints && length(pxy.outer)>0){ # points in loop points(pxy.outer[,1],pxy.outer[,2],col='#3355ff',pch=pch,cex=cex) } if(show.baghull){ # fill bag h<-rbind(hull.bag,hull.bag[1,]); lines(h[,1],h[,2],lty=1) polygon(hull.bag[,1],hull.bag[,2],col='#7799ff') } if(show.bagpoints && length(pxy.bag)>0){ # points in bag points(pxy.bag[,1],pxy.bag[,2],col='#000088',pch=pch,cex=cex) } if(show.whiskers && length(pxy.outer)>0){ debug.plots<-'not' pkt.cut<-find.cut.z.pg(pxy.outer,hull.bag,center=center) segments(pxy.outer[,1],pxy.outer[,2],pkt.cut[,1],pkt.cut[,2],col='red') } if(show.outlier && length(pxy.outlier)>0){ # points in loop points(pxy.outlier[,1],pxy.outlier[,2],col='red',pch=pch,cex=cex) } if(exists('hull.center')&&length(hull.center)>2){ h<-rbind(hull.center,hull.center[1,]); lines(h[,1],h[,2],lty=1) polygon(hull.center[,1],hull.center[,2],col='orange') } points(center[1],center[2],pch=8,col='red') if(verbose){ h<-rbind(exp.dk,exp.dk[1,]); lines(h,col='blue',lty=2) h<-rbind(exp.dk.1,exp.dk.1[1,]); lines(h,col='black',lty=2) if(exists('tphdepth')) text(tp[,1],tp[,2],as.character(tphdepth),col='green') text(xy[,1],xy[,2],paste(as.character(hdepth)),cex=2) points(center[1],center[2],pch=8,col='red') } 'bagplot plottet' } bagplot<-function(x,y, factor=3, # expanding factor for bag to get the loop approx.limit=300, # limit show.outlier=TRUE,# if TRUE outlier are shown show.whiskers=TRUE, # if TRUE whiskers are shown show.looppoints=TRUE, # if TRUE points in loop are shown show.bagpoints=TRUE, # if TRUE points in bag are shown show.loophull=TRUE, # if TRUE loop is shown show.baghull=TRUE, # if TRUE bag is shown create.plot=TRUE, # if TRUE a plot is created add=FALSE, # if TRUE graphical elements are added to actual plot pch=16,cex=.4,..., # to define further parameters of plot dkmethod=2, # in 1:2; there are two methods for approximating the bag precision=1, # controls precisionn of computation verbose=FALSE,debug.plots='' # tools for debugging ){ bo<-compute.bagplot(x=x,y=y,factor=factor,approx.limit=approx.limit, dkmethod=dkmethod,precision=precision, verbose=verbose,debug.plots=debug.plots) if(create.plot){ plot(bo, show.outlier=show.outlier, show.whiskers=show.whiskers, show.looppoints=show.looppoints, show.bagpoints=show.bagpoints, show.loophull=show.loophull, show.baghull=show.baghull, add=add,pch=pch,cex=cex,..., verbose=verbose ) } } bitmap(file='test1.png') bagplot(x=x, y=y, verbose=F, factor=par1, show.outlier=par2, show.whiskers=par3, show.baghull=T, dkmethod=2, show.loophull=T, precision=1, xlab=xlab, ylab=ylab, main=main) box() dev.off()
Compute
Summary of computational transaction
Raw Input
view raw input (R code)
Raw Output
view raw output of R engine
Computing time
0 seconds
R Server
Big Analytics Cloud Computing Center
Click here to blog (archive) this computation