Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
During your Main Phase: You can Special Summon 1 "Salamangreat" monster from your hand or GY. You can send this face-up card from the field to the GY, then target 1 "Salamangreat" Link Monster you control that was Link Summoned using a monster with its same name as material; Special Summon "Salamangreat" monster(s) from your hand and/or GY in Defense Position, up to the number of that monster's Link Rating. You can only use 1 "Will of the Salamangreat" effect per turn, and only once that turn.
--転生炎獣の意志
--Will of the Salamangreat
--Scripted by Eerie Code
local s,id=GetID()
function s.initial_effect(c)
	aux.EnableCheckReincarnation(c)
	local e1=Effect.CreateEffect(c)
	e1:SetType(EFFECT_TYPE_ACTIVATE)
	e1:SetCode(EVENT_FREE_CHAIN)
	c:RegisterEffect(e1)
	--spsummon (single)
	local e2=Effect.CreateEffect(c)
	e2:SetDescription(aux.Stringid(id,0))
	e2:SetCategory(CATEGORY_SPECIAL_SUMMON)
	e2:SetType(EFFECT_TYPE_IGNITION)
	e2:SetRange(LOCATION_SZONE)
	e2:SetCountLimit(1,id)
	e2:SetTarget(s.sptg1)
	e2:SetOperation(s.spop1)
	c:RegisterEffect(e2)
	--spsummon (link)
	local e3=e2:Clone()
	e3:SetDescription(aux.Stringid(id,1))
	e3:SetProperty(EFFECT_FLAG_CARD_TARGET)
	e3:SetCost(Cost.SelfToGrave)
	e3:SetTarget(s.sptg2)
	e3:SetOperation(s.spop2)
	c:RegisterEffect(e3)
end
s.listed_series={SET_SALAMANGREAT}
function s.spfilter(c,e,tp,pos)
	return c:IsSetCard(SET_SALAMANGREAT) and c:IsCanBeSpecialSummoned(e,0,tp,false,false,pos)
end
function s.sptg1(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return Duel.GetLocationCount(tp,LOCATION_MZONE)>0
		and Duel.IsExistingMatchingCard(s.spfilter,tp,LOCATION_HAND|LOCATION_GRAVE,0,1,nil,e,tp,POS_FACEUP) end
	Duel.SetOperationInfo(0,CATEGORY_SPECIAL_SUMMON,nil,1,tp,LOCATION_GRAVE|LOCATION_HAND)
end
function s.spop1(e,tp,eg,ep,ev,re,r,rp)
	if not e:GetHandler():IsRelateToEffect(e) then return end
	if Duel.GetLocationCount(tp,LOCATION_MZONE)<1 then return end
	Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_SPSUMMON)
	local g=Duel.SelectMatchingCard(tp,aux.NecroValleyFilter(s.spfilter),tp,LOCATION_GRAVE|LOCATION_HAND,0,1,1,nil,e,tp,POS_FACEUP)
	if #g>0 then
		Duel.SpecialSummon(g,0,tp,tp,false,false,POS_FACEUP)
	end
end
function s.filter(c)
	return c:IsSetCard(SET_SALAMANGREAT) and c:IsLinkMonster() and c:IsReincarnationSummoned()
end
function s.sptg2(e,tp,eg,ep,ev,re,r,rp,chk,chkc)
	if chkc then return chkc:IsLocation(LOCATION_MZONE) and chkc:IsControler(tp) and s.filter(chkc) end
	if chk==0 then return Duel.GetLocationCount(tp,LOCATION_MZONE)>0
		and Duel.IsExistingMatchingCard(s.spfilter,tp,LOCATION_HAND|LOCATION_GRAVE,0,1,nil,e,tp,POS_FACEUP_DEFENSE)
		and Duel.IsExistingTarget(s.filter,tp,LOCATION_MZONE,0,1,nil) end
	Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_FACEUP)
	Duel.SelectTarget(tp,s.filter,tp,LOCATION_MZONE,0,1,1,nil)
	Duel.SetOperationInfo(0,CATEGORY_SPECIAL_SUMMON,nil,1,tp,LOCATION_GRAVE|LOCATION_HAND)
end
function s.spop2(e,tp,eg,ep,ev,re,r,rp)
	local tc=Duel.GetFirstTarget()
	if not tc:IsRelateToEffect(e) then return end
	local ft=math.min(Duel.GetLocationCount(tp,LOCATION_MZONE),tc:GetLink())
	if ft<1 then return end
	if Duel.IsPlayerAffectedByEffect(tp,CARD_BLUEEYES_SPIRIT) then ft=1 end
	Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_SPSUMMON)
	local g=Duel.SelectMatchingCard(tp,aux.NecroValleyFilter(s.spfilter),tp,LOCATION_GRAVE|LOCATION_HAND,0,1,ft,nil,e,tp,POS_FACEUP_DEFENSE)
	if #g>0 then
		Duel.SpecialSummon(g,0,tp,tp,false,false,POS_FACEUP_DEFENSE)
	end
end