Send output to:
Browser Blue - Charts White
Browser Black/White
CSV
Data X:
1985 1963 2017 1975 1589 1679 1392 1511 1449 1767 1899 2179 2217 2049 2343 2175 1607 1702 1764 1766 1615 1953 2091 2411 2550 2351 2786 2525 2474 2332 1978 1789 1904 1997 2207 2453 1948 1384 1989 2140 2100 2045 2083 2022 1950 1422 1859 2147 2273 1881 2454 2081 2376 2265 2131 2333 1881 1563 1738 1990
Data Y:
412 602 613 482 241 277 252 383 506 366 473 581 688 792 761 592 251 162 183 164 223 237 567 778 888 1118 1275 419 324 197 172 220 98 122 303 750 745 293 534 318 72 67 256 82 337 596 1152 1028 1011 823 1545 1211 593 348 341 340 589 1095 788 432
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