Nothing
################################
#### Inverse of Lambert's equal aea projection
#### Tsagris Michail 3/2014
#### mtsagris@yahoo.gr
################################
lambert.inv <- function(z, mu) {
## z contains the Lambert equal area projected data
## mu is the initial mean direction to which we will
## rotate the data after bringing them on the sphere
long <- ( atan(z[, 2]/z[, 1]) + pi * I(z[, 1] < 0) ) %% (2 * pi)
lat <- 2 * asin( 0.5 * sqrt( Rfast::rowsums(z^2) ) )
u <- cbind(lat, long) ## the data on the sphere in radians
u <- u * 180 / pi ## from radians to degrees
y <- Directional::euclid(u) ## the data in euclidean coordinates
## their mean direction is not exactly the north pole
b <- c(0, 0, 1) ## the north pole from which we will rotate the data
mu <- mu / sqrt( sum(mu^2) ) ## make sure that mu is a unit vector
H <- rotation(b, mu) ## rotate the data so that their mean direction is mu
u <- tcrossprod(y, H)
Directional::euclid.inv(u)
}
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