about loops

Hi,

One approach could be a while loop as follows. Note that your circle
should have radius 0.5 if I understood the problem correctly.


N <- 5

npoints <- 0
ntests <- 0
points.in.circle <- matrix(NA, ncol=2, nrow=N)

while (npoints < N) {

  test.point <- runif(2, -0.5, 0.5) # generate new point in 2D
  if ( sqrt(test.point %*% test.point) <= 0.5){ # test its distance to
the origin
    npoints <- npoints + 1
    points.in.circle[npoints, ] <- test.point
  }
  ntests <- ntests + 1
}

print(paste(npoints, "out of", ntests, 'where in the circle') )

HTH,

baptiste


2010/1/21 Wolfgang?Amadeus <fdfcz123 at 163.com>:

Hello !
?I have a quick question about loops.
?For example, ?I have a 1 * 1 square and its inscribed circle tangent i, whose radius, of course, is also 1.
?The loop here is as the following:
?generate n points, say 5, in the square randomly repeatedly until we have five in total in the circle, then we stop, otherwise we continue.
?I do not know how !
Help me Please ~
Thank you very much for your time.
?Yours
Wolfgang Amadeus


? ? ? ?[[alternative HTML version deleted]]

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