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PHI ||= (1 + Math.sqrt(5)) / 2 # golden ratio
GA = PHI * 2 * Math::PI # golden angle
# Useful Vector Utiliies
module VectorUtil
def self.rotate_vec2d(vectors: [], angle: 0)
vectors.map { |vector| vector.rotate(angle) }
end
def self.vogel_layout(number:, node_size:)
(0..number).map do |i|
r = Math.sqrt(i)
theta = i * ((2 * Math::PI) / (PHI * PHI))
x = Math.cos(theta) * r * node_size
y = Math.sin(theta) * r * node_size
Vec2D.new(x, y)
end
end
def self.fibonacci_sphere(number:, radius:)
(0..number).map do |i|
lon = GA * i
lon /= 2 * Math::PI
lon -= lon.floor
lon *= 2 * Math::PI
lon -= 2 * Math::PI if lon > Math::PI
lat = Math.asin(-1 + 2 * i / number.to_f)
x = radius * Math.cos(lat) * Math.cos(lon)
y = radius * Math.cos(lat) * Math.sin(lon)
z = radius * Math.sin(lat)
Vec3D.new(x, y, z)
end
end
def self.spiral_layout(number:, radius:, resolution:, spacing:, inc:)
n = 0
angle = nil
(0..number).map do
angle = n * resolution
n += inc
radius -= angle * spacing
x = Math.cos(angle) * radius
y = Math.sin(angle) * radius
Vec2D.new(x, y)
end
end
def self.cartesian_to_polar(vec:)
res = Vec3D.new(vec.mag, 0, 0)
return Vec3D.new unless res.x > 0
res.y = -Math.atan2(vec.z, vec.x)
res.z = Math.asin(vec.y / res.x)
res
end
def self.to_cartesian(lat:, long:, radius:)
latitude = lat
longitude = long
x = radius * Math.cos(latitude) * Math.cos(longitude)
y = radius * Math.cos(latitude) * Math.sin(longitude)
z = radius * Math.sin(latitude)
Vec3D.new(x, y, z)
end
def self.polar_to_cartesian(vec:)
return Vec3D.new if vec.mag <= 0
Vec3D.new(Math.asin(vec.y / vec.mag), vec.mag, -Math.atan2(vec.z, vec.x))
end
end
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61 entries across 61 versions & 3 rubygems