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# random value generation of the von Mises distribution
# source: package CircStats
rvm <- function (n, mean, k)
{
vm <- c(1:n)
a <- 1 + (1 + 4 * (k^2))^0.5
b <- (a - (2 * a)^0.5)/(2 * k)
r <- (1 + b^2)/(2 * b)
obs <- 1
while (obs <= n) {
U1 <- runif(1, 0, 1)
z <- cos(pi * U1)
f <- (1 + r * z)/(r + z)
c <- k * (r - f)
U2 <- runif(1, 0, 1)
if (c * (2 - c) - U2 > 0) {
U3 <- runif(1, 0, 1)
vm[obs] <- sign(U3 - 0.5) * acos(f) + mean
vm[obs] <- vm[obs]%%(2 * pi)
obs <- obs + 1
}
else {
if (log(c/U2) + 1 - c >= 0) {
U3 <- runif(1, 0, 1)
vm[obs] <- sign(U3 - 0.5) * acos(f) + mean
vm[obs] <- vm[obs]%%(2 * pi)
obs <- obs + 1
}
}
}
vm
}
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