I'm Trying To Get Walking "animation"

Unity Engine
1

i’m trying to get walking animation without animation
i’m trying to get the character to move up and down (on y) if it directed change in position x or z
i have CharacterController on my character

    float _x;
    float _y;
    float _z;
void Update()
    {
        PlayerMove();
    }

    private void lastPosition()
    {
        _x = transform.position.x;
        _y = transform.position.y;
        _z = transform.position.z;

    }

    private void PlayerMove()
    {
        lastPosition();

        if(_x != transform.position.x || _z != transform.position.z)
        {
            _y += 0.5f;
        }
2

I have done procedural walking animation using only sin, I can attest it’s feasible.