Geode::VectorGeometry(N)
Geometric methods for vectors.
Intended to be used as a mix-in on vector types. N is the number of components in the vector.
Instance methods
Computes the angle between this vector and another.
Returns the value as radians. The value will be between 0 and pi.
The smallest angle between the vectors is calculated.
Vector[1, 1].angle(Vector[-1, 0]) # => 2.35619449
Vector[1, 1].angle(Vector[1, -1]) # => 1.570796327Computes the dot-product of this vector and another.
Vector[2, 5, 7].dot(Vector[1, 0, -5]) # => -33Computes the dot-product of this vector and another.
Values will wrap instead of overflowing and raising an error.
Vector[2, 5, 7].dot!(Vector[1, 0, -5]) # => -33Orients a vector to point in the same direction as another.
The surface is a vector to orient with.
Computes the magnitude (length) of this vector.
Same as #mag.
Vector[3, 4].length # => 5Computes the magnitude (length) squared of this vector.
This method does not perform a square-root operation,
making it faster than #mag if the square-root isn't needed.
Vector[3, 4].mag2 # => 25Returns a unit vector.
Scales the components of the vector equally so that the magnitude (length) is one.
Vector[1, 0, -1].normalize.mag # => 1.0Computes the projection of this vector onto another vector.
Vector[3, 4].project(Vector[1, 0]) # => (3, 0)Computes a reflected vector on a surface.
The surface is a normal vector for the surface to reflect against.
Vector[-1, 1].reflect(Vector[0, 1]) # => (1, 1)Computes a refracted vector through a surface.
The surface is a normal vector for the surface to travel through. eta is the ratio of refractive indices. Returns a zero vector for total internal reflection.
Vector[-1, 1].refract(Vector[0, 1], 1.333) # => (-1.333, -1.0)