Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_bagplot.wasp
Title produced by softwareBagplot
Date of computationTue, 10 Nov 2009 18:24:20 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/11/t1257902724ux3a9mplfj78t4w.htm/, Retrieved Thu, 28 Mar 2024 16:42:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=55431, Retrieved Thu, 28 Mar 2024 16:42:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact218
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bagplot] [3/11/2009] [2009-11-02 21:51:11] [b98453cac15ba1066b407e146608df68]
-   PD    [Bagplot] [Workshop 6 - Bagplot] [2009-11-11 01:24:20] [d904c6aa144b8c40108ebe5ec22fe1a0] [Current]
-   PD      [Bagplot] [] [2009-11-12 16:31:33] [30e733e0d80e1684893fcdfadcb286e7]
-   P         [Bagplot] [workshop 6] [2009-11-13 22:07:55] [24c4941ee50deadff4640c9c09cc70cb]
-   P         [Bagplot] [] [2009-11-25 10:48:34] [74be16979710d4c4e7c6647856088456]
Feedback Forum

Post a new message
Dataseries X:
308347
298427
289231
291975
294912
293488
290555
284736
281818
287854
316263
325412
326011
328282
317480
317539
313737
312276
309391
302950
300316
304035
333476
337698
335932
323931
313927
314485
313218
309664
302963
298989
298423
301631
329765
335083
327616
309119
295916
291413
291542
284678
276475
272566
264981
263290
296806
303598
286994
276427
266424
267153
268381
262522
255542
253158
243803
250741
280445
285257
270976
261076
255603
260376
263903
264291
263276
262572
256167
264221
293860
300713
Dataseries Y:
269645
267037
258113
262813
267413
267366
264777
258863
254844
254868
277267
285351
286602
283042
276687
277915
277128
277103
275037
270150
267140
264993
287259
291186
292300
288186
281477
282656
280190
280408
276836
275216
274352
271311
289802
290726
292300
278506
269826
265861
269034
264176
255198
253353
246057
235372
258556
260993
254663
250643
243422
247105
248541
245039
237080
237085
225554
226839
247934
248333
246969
245098
246263
255765
264319
268347
273046
273963
267430
271993
292710
295881




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55431&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55431&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55431&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk



Parameters (Session):
par1 = 3 ; par2 = TRUE ; par3 = TRUE ;
Parameters (R input):
par1 = 3 ; par2 = TRUE ; par3 = TRUE ;
R code (references can be found in the software module):
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]<-pipi<(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(indk &&
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(indk &&
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]}
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.bagif(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(102){
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]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.intercutp<-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]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.intercutp<-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]xydata[,1]>extr[2],,drop=FALSE]
if(0segments(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()