I need help understanding the math behind this code. x component of the returned vec2 and the y component of the returned vec2. Can somebody explain to me what they represent. I only know this function determinate the position of the vector in sphere coordinates.
glm::vec2 calcEulerAngles(const glm::vec3& vec)
glm::vec3 v = glm::normalize(vec);
glm::vec2 result(acos(v.z), atan2(v.y, v.x));
while (result.y < 0.0)
result.y += TwoPi;
return glm::vec2(glm::degrees(result.x), glm::degrees(result.y));
It is calculating the spherical coordinates
theta for a unit vector.
The first component (
phi) will be the angle between the vector and the z-axis. The second component (
theta) will be the angle on the xy-plane. It assumes that the vector can be expressed as follows:
x = cos theta sin phi y = sin theta sin phi z = cos phi
If you solve this, you get the calculations in your function. Adding
2 Pi to
y just ensures that the angle is between