Nothing
generate.point.in.sphere=function(no.row,d){
if ((d<2)|(floor(d)!=d)){
stop("Dimension must be an integer whose value is at least 2!\n")
}
my.mat=matrix(0,no.row,d)
if ((d==2)|(d>4)){
for (i in 1:no.row){
index=0
while (index<1){
u.mat=runif(d)*sample(c(-1,1), d, replace = TRUE)
summ=sum(u.mat^2)
my.mat[i,]=u.mat/sqrt(summ)
index=1*(summ<=1)
}
}
}
if (d==3){
for (i in 1: no.row){
index=0
while (index<1){
u1=runif(1,-1,1)
u2=runif(1,-1,1)
s1=u1^2+u2^2
w=(s1<=1)
index=1*w
my.mat[i,1][w]=2*u1[w]*sqrt(1-s1[w])
my.mat[i,2][w]=2*u2[w]*sqrt(1-s1[w])
my.mat[i,3][w]=1-2*s1[w]
}
}
}
if (d==4){
for (i in 1: no.row){
index=0
while (index<1){
u1=runif(1,-1,1)
u2=runif(1,-1,1)
u3=runif(1,-1,1)
u4=runif(1,-1,1)
s1=u1^2+u2^2
s2=u3^2+u4^2
w1=(s1<=1)
w2=(s2<=1)
index=1*(w1&w2)
my.mat[i,1][w1&w2]=u1[w1&w2]
my.mat[i,2][w1&w2]=u2[w1&w2]
my.mat[i,3][w1&w2]=u3[w1&w2]*sqrt((1-s1[w1&w2])/s2[w1&w2])
my.mat[i,4][w1&w2]=u4[w1&w2]*sqrt((1-s1[w1&w2])/s2[w1&w2])
}
}
}
my.mat
}
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