Returns cardinal point given Hilbert index
function hilbertIndexInverse(dim, index, options) { // :: Int -> Int -> [Int, Int, ..]
    options = options || {}
    var entry = options.entry || 0,
        direction = options.direction || 0,
        m = curvePrecision(index, dim),
        p = Array.apply(null, new Array(dim)).map(Number.prototype.valueOf, 0)

    for (var i = m - 1; i >= 0; i--) {
        var mask = 1 << (i * dim), bits = 0, code

        for (var k = dim - 1; k >= 0; k--) {
            if (index & (mask << k)) {
                bits |= (1 << k)
            }
        }

        code = grayInverseTransform(entry, direction, grayCode(bits), dim)
        for (var k = 0; k < dim; k++) {
            if (code & (1 << k)) {
                p[k] |= (1 << i)
            }
        }

        entry = entry ^ bitwise.rotateLeft(entrySequence(bits), dim, 0, direction + 1)
        direction = (direction + directionSequence(bits, dim) + 1) % dim
    }
    return p
}