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# Copyright (c) 2015 Santiago Barreda
# All rights reserved.
rotate = function (xy, angle, degrees = FALSE, origin = TRUE){
complx = FALSE
if (degrees) angle = angle * pi/180
if (is.complex(xy)) {
xy = cbind(Re(xy), Im(xy))
complx = TRUE
}
if (ncol(xy) != 2) stop("Input must have two columns (2-dimensional).")
if (!origin){
mus = colMeans (xy)
xy = xy - matrix (mus,nrow(xy),2,byrow = T)
}
rotmat = matrix(c(cos(angle), -sin(angle), sin(angle), cos(angle)), 2, 2)
output = as.matrix(xy) %*% rotmat
if (!origin) output = output + matrix (mus,nrow(output),2,byrow = T)
if (complx) output = complex(real = output[, 1], imaginary = output[,2])
output
}
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