View MAtrix

// Returns a view matrix, ie inverse world
mat4 LookAt(const vec3& position, const vec3& target, const vec3& up) {
    vec3 forward = Normalized(target - position);
    vec3 right = Normalized(Cross(up, forward));
    vec3 newUp = Cross(forward, right);

    return
        mat4( // Rotation is transposed
        right.x, newUp.x, forward.x, 0.0f,
        right.y, newUp.y, forward.y, 0.0f,
        right.z, newUp.z, forward.z, 0.0f,
        -Dot(right, position), -Dot(newUp, position), -Dot(forward, position), 1.0f
    );
}