Create a half polar graph (rose chart) with circular packaging

Question

I am drawing a corner distribution with a function rose.diagfrom a library circular. The input is radiant. My MWE Code

    library(circular);
    dat<-read.csv(file.choose(),header=F);
    data=unlist(dat);
    rose.diag(data, bins=24)

and I get this graph:

I'm interested in showing only a portion of the data, from -pi / 2 to pi / 2, and that the length of the largest tick is equal to the length of the circle radius, as shown here:

Any help would be appreciated!

EDIT

As suggested by #lawyeR, here is the code with sample data:

    library(circular);
    data<- c(-0.188,-0.742,-0.953,-0.948,-0.953,-1.187,-0.9327200,-0.855,-  0.024,1.303,-1.041,-1.068,-1.066,1.442,1.150,0.965,0.665,0.649,0.984,-1.379,-0.584,-0.573,-0.357,-0.237,-0.287,-0.486,-0.783,-0.298,0.849,1.088,-1.003,-0.952,-0.776,-0.811,-0.880);
    rose.diag(data, bins=24);

Answer 1

Perhaps you can first draw a half circle without distribution using the default chart functions. Then fill the distribution without its circle:

library(circular)

data<- c(-0.188,-0.742,-0.953,-0.948,-0.953,-1.187,-0.9327200,-0.855,-  0.024,1.303,-1.041,-1.068,-1.066,1.442,1.150,0.965,0.665,0.649,0.984,-1.379,-0.584,-0.573,-0.357,-0.237,-0.287,-0.486,-0.783,-0.298,0.849,1.088,-1.003,-0.952,-0.776,-0.811,-0.880)

freq <- diff(colSums(outer( data %% (2*pi), (1:24)*pi/12,"<"))) / length(data)
r.max <- sqrt(max(freq))

#-----------------------------------------------------------------
# Plot the half circle:

lab.width  <- 0.15*r.max
lab.height <- 0.15*r.max

plot( c(-r.max,r.max), c(0,0),
      axes=FALSE,
      ylim=c(0,r.max+lab.height),
      xlim=c(-r.max-lab.width,r.max+lab.width),
      xlab="", ylab="", type="l")

for ( i in 0:(5*12-1) )
{
  psi <- i*pi/(5*12)
  x1 <- r.max*cos(psi)
  y1 <- r.max*sin(psi)
  x2 <- r.max*cos(psi+pi/(5*12))
  y2 <- r.max*sin(psi+pi/(5*12))

  lines( c(x1,x2), c(y1,y2), type="l")

  if (i %% 5 == 0) { lines( x1*c(1,0.95), y1*c(1,0.95), type="l" ) }
}

par(cex=2.0)

text( x = c(-r.max,0,r.max),
      y = c(0,r.max,0),
      labels = c("-pi/2","0","pi/2"),
      pos = c(2,3,4))

#------------------------------------------------------------
# Plot the distribution, but without the circle:

rose.diag(data,
          bins = 24,
          rotation = "clock",
          tcl.text = NA,
          ticks = FALSE,
          zero = pi/2,
          control.circle = circle.control( col="white" ),
          add = TRUE )

.