Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
Monsters cannot attack face-down Defense Position monsters, but can attack directly if all monsters their opponent controls are face-down Defense Position. All effect damage, and battle damage inflicted by monsters other than "Ghostrick" monsters, is halved.
--ゴーストリック・ハウス
--Ghostrick Mansion
local s,id=GetID()
function s.initial_effect(c)
	--Activate
	local e1=Effect.CreateEffect(c)
	e1:SetType(EFFECT_TYPE_ACTIVATE)
	e1:SetCode(EVENT_FREE_CHAIN)
	c:RegisterEffect(e1)
	--Limit attacks
	local e2=Effect.CreateEffect(c)
	e2:SetType(EFFECT_TYPE_FIELD)
	e2:SetCode(EFFECT_CANNOT_SELECT_BATTLE_TARGET)
	e2:SetRange(LOCATION_FZONE)
	e2:SetTargetRange(LOCATION_MZONE,LOCATION_MZONE)
	e2:SetValue(aux.TargetBoolFunction(Card.IsFacedown))
	c:RegisterEffect(e2)
	--Direct attack
	local e3=Effect.CreateEffect(c)
	e3:SetType(EFFECT_TYPE_FIELD)
	e3:SetCode(EFFECT_DIRECT_ATTACK)
	e3:SetRange(LOCATION_FZONE)
	e3:SetTargetRange(LOCATION_MZONE,LOCATION_MZONE)
	e3:SetTarget(s.dirtg)
	c:RegisterEffect(e3)
	--Change damage
	local e4=Effect.CreateEffect(c)
	e4:SetType(EFFECT_TYPE_FIELD)
	e4:SetRange(LOCATION_FZONE)
	e4:SetCode(EFFECT_CHANGE_DAMAGE)
	e4:SetProperty(EFFECT_FLAG_PLAYER_TARGET)
	e4:SetTargetRange(1,1)
	e4:SetValue(s.val)
	c:RegisterEffect(e4)
	local e5=e4:Clone()
	e5:SetCode(EFFECT_CHANGE_BATTLE_DAMAGE)
	e5:SetValue(s.damval)
	c:RegisterEffect(e5)
end
s.listed_series={SET_GHOSTRICK}
function s.dirtg(e,c)
	return not Duel.IsExistingMatchingCard(Card.IsFaceup,c:GetControler(),0,LOCATION_MZONE,1,nil)
end
function s.val(e,re,dam,r,rp,rc)
	if r&REASON_EFFECT~=0 then
		return math.floor(dam/2)
	else
		return dam
	end
end
function s.damval(e,rc)
	if rc:IsSetCard(SET_GHOSTRICK) then return -1 end
	return HALF_DAMAGE
end