Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
All "Amorphage" monsters on the field gain 100 ATK and DEF for each "Amorphage" card on the field. If a monster(s) in your hand or you control is Tributed, or destroyed by battle or card effect: You can add 1 "Amorphage" card from your Deck to your hand. You can only use this effect of "Amorphage Infection" once per turn.
--アモルファージ・インフェクション
--Amorphage Infection
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)
	--atk
	local e2=Effect.CreateEffect(c)
	e2:SetType(EFFECT_TYPE_FIELD)
	e2:SetCode(EFFECT_UPDATE_ATTACK)
	e2:SetRange(LOCATION_SZONE)
	e2:SetTargetRange(LOCATION_MZONE,LOCATION_MZONE)
	e2:SetTarget(aux.TargetBoolFunction(Card.IsSetCard,SET_AMORPHAGE))
	e2:SetValue(s.value)
	c:RegisterEffect(e2)
	local e3=e2:Clone()
	e3:SetCode(EFFECT_UPDATE_DEFENSE)
	c:RegisterEffect(e3)
	--To Hand
	local e4=Effect.CreateEffect(c)
	e4:SetCategory(CATEGORY_SEARCH+CATEGORY_TOHAND)
	e4:SetType(EFFECT_TYPE_FIELD+EFFECT_TYPE_TRIGGER_O)
	e4:SetProperty(EFFECT_FLAG_DELAY+EFFECT_FLAG_DAMAGE_STEP)
	e4:SetCode(EVENT_RELEASE)
	e4:SetRange(LOCATION_SZONE)
	e4:SetCountLimit(1,id)
	e4:SetCondition(s.thcon1)
	e4:SetTarget(s.thtg)
	e4:SetOperation(s.thop)
	c:RegisterEffect(e4)
	local e5=e4:Clone()
	e5:SetCode(EVENT_DESTROYED)
	e5:SetCondition(s.thcon2)
	c:RegisterEffect(e5)
end
s.listed_series={SET_AMORPHAGE}
function s.filter(c)
	return c:IsFaceup() and c:IsSetCard(SET_AMORPHAGE)
end
function s.value(e,c)
	return Duel.GetMatchingGroupCount(s.filter,0,LOCATION_ONFIELD,LOCATION_ONFIELD,nil)*100
end
function s.cfilter1(c,tp)
	return c:IsMonster() and c:IsPreviousLocation(LOCATION_MZONE|LOCATION_HAND) and c:IsPreviousControler(tp)
end
function s.thcon1(e,tp,eg,ep,ev,re,r,rp)
	return eg:IsExists(s.cfilter1,1,nil,tp)
end
function s.cfilter2(c,tp)
	return c:IsMonster() and c:IsReason(REASON_BATTLE|REASON_EFFECT)
		and c:IsPreviousLocation(LOCATION_MZONE|LOCATION_HAND) and c:IsPreviousControler(tp)
end
function s.thcon2(e,tp,eg,ep,ev,re,r,rp)
	return eg:IsExists(s.cfilter2,1,nil,tp)
end
function s.thfilter(c)
	return c:IsSetCard(SET_AMORPHAGE) and c:IsAbleToHand()
end
function s.thtg(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return Duel.IsExistingMatchingCard(s.thfilter,tp,LOCATION_DECK,0,1,nil) end
	Duel.SetOperationInfo(0,CATEGORY_TOHAND,nil,1,tp,LOCATION_DECK)
end
function s.thop(e,tp,eg,ep,ev,re,r,rp)
	if not e:GetHandler():IsRelateToEffect(e) then return end
	Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_ATOHAND)
	local g=Duel.SelectMatchingCard(tp,s.thfilter,tp,LOCATION_DECK,0,1,1,nil)
	if #g>0 then
		Duel.SendtoHand(g,nil,REASON_EFFECT)
		Duel.ConfirmCards(1-tp,g)
	end
end