generate_ellipse()

std::vector< glm::vec3 > MayaFlux::Kinesis::generate_ellipse	(	const glm::vec3 &	center,
		float	semi_major,
		float	semi_minor,
		size_t	segments,
		const glm::vec3 &	normal = glm::vec3(0, 0, 1)
	)

Generate vertices along an elliptical path.

Parameters

center	Ellipse center
semi_major	Semi-major axis length
semi_minor	Semi-minor axis length
segments	Number of subdivisions
normal	Ellipse plane normal

Returns

Vertices generated by eccentric anomaly

Definition at line 60 of file GeometryPrimitives.cpp.

{
    if (segments < 3) {
        segments = 3;
    }
 
    std::vector<glm::vec3> vertices;
    vertices.reserve(segments + 1);
 
    glm::vec3 n = glm::normalize(normal);
    glm::vec3 u;
 
    if (std::abs(n.z) < 0.9F) {
        u = glm::normalize(glm::cross(n, glm::vec3(0, 0, 1)));
    } else {
        u = glm::normalize(glm::cross(n, glm::vec3(1, 0, 0)));
    }
 
    glm::vec3 v = glm::cross(n, u);
 
    float angle_step = glm::two_pi<float>() / static_cast<float>(segments);
 
    for (size_t i = 0; i <= segments; ++i) {
        float angle = static_cast<float>(i) * angle_step;
        float cos_a = std::cos(angle);
        float sin_a = std::sin(angle);
 
        glm::vec3 position = center + semi_major * cos_a * u + semi_minor * sin_a * v;
 
        vertices.push_back(position);
    }
 
    return vertices;
}

References position.