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1178 2141 2238 2685 4341 5376 4478 6404 4617 3024 1897 2075 1351 2211 2453 3042 4765 4992 4601 6266 4812 3159 1916 2237 1595 2453 2226 3597 4706 4974 5756 5493 5004 3225 2006 2291 1588 2105 2191 3591 4668 4885 5822 5599 5340 3082 2010 2301 1514 1979 2480 3499 4676 5585 5610 5796 6199 3030 1930 2552
Data Y:
476049 474605 470439 461251 454724 455626 516847 525192 522975 518585 509239 512238 519164 517009 509933 509127 500857 506971 569323 579714 577992 565464 547344 554788 562325 560854 555332 543599 536662 542722 593530 610763 612613 611324 594167 595454 590865 589379 584428 573100 567456 569028 620735 628884 628232 612117 595404 597141 593408 590072 579799 574205 572775 572942 619567 625809 619916 587625 565742 557274
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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)]) } print(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()
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Big Analytics Cloud Computing Center
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