Ray sphere intersection equation

bool hit_sphere(const vec3& center, float radius, const ray& r){
    vec3 oc = r.origin() - center;
    float a = dot(r.direction(), r.direction());
    float b = 2.0 * dot(oc, r.direction());
    float c = dot(oc,oc) - radius*radius;
    float discriminant = b*b - 4*a*c;
    return (discriminant>0);
}

Source: viclw17.github.io

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