--Equation Builder:

		--Initialize:
		print("hi")
		turtle.select(2)

		--Printables:

				io.write("Input equation, increment size, number of dimensions, mirrors, limits first dimension (lower upper), limits second dimension (lower upper), limits third dimension (lower upper); then a,b,c,d,e parameters of eq; fill in: f = 1")
						--Input equation: 1 for ellipse, 2 for parabola, 3 for etc
						--Mirros is for mirroring in either X, Y or Z axis. For mirror over X-axis do mirror <= 2, for Z-axis do mirror >= 2. For neither do mirror = 0
		--Wireless Connection:
				--Not yes

		--Variables:
				Args = {...}

		--Parameters:

		InputEquation = tonumber(Args[1])
		i = tonumber(Args[2])								--Incrementer
		j = 1/i													--Opposite incrementer
		f = tonumber(Args[16])						--Fill in : f = 1
		if dim == 3 and InputEquation == 1 then
				io.write("You have selected the Coneslice package. Options: Ellipse:a>0,b<0,c<0; nontouchingHyperbola: a<0,b*c<0;touchingHyperbola:a>0,b*c<0;nontouching Diabolo:a>0,b>0,c>0;touching Diabolo a<0,b>0,c>0;")
		end
		dim = tonumber(Args[3])

		mirror = tonumber(Args[4])

		Zmax = tonumber(Args[10])
		Zmin = tonumber(Args[9])
		Z = {}

		Xmax = tonumber(Args[6])
		Xmin = tonumber(Args[5])
		X = Xmin


		if dim > 2 then
				Ymax = tonumber(Args[8])
				Ymin = tonumber(Args[7])
				Y = Zmin
		end

		a = tonumber(Args[11])
		b = tonumber(Args[12])
		c = tonumber(Args[13])
		d = tonumber(Args[14])
		e = tonumber(Args[15])

		locX = Xmin
		locZ = Zmin
		locY = Ymin
		Zx = {}
		Yx = {}
		closetoHomeY = 1
		closetoHomeZ = 1
		closetoHomeX = 1
		Xpos = 1
		Zx[Xpos] = 1


		u = 2 --Basic slot selection

		--Functions:
				function Correspondence(a)
								--print("no nan value in Zx[Xpos]")

										--(round(Zx[a]) <= locZ and round(Zx[a]) >= -locZ and f == 1)
										if (round(Zx[a]) == locZ or (round(Zx[a]) == -locZ and mirror <= 2 and mirror ~= 0)) and placed~=1 then
												--print("Will place a block")
												BlockplaceDown()			--Does NOT replace blocks (except water/lava)
												placed = 1
										elseif isempty(round(Zx[a])) == false then
												--print("not nil blockplacing maybe")
												if (round(Zx[a]) >= math.abs(locZ) and f == 1) and placed~=1 then
														--print("Will place a block")
														BlockplaceDown()			--Does NOT replace blocks (except water/lava)
														placed = 1
												elseif (round(Zx[a]) <= math.abs(locZ) and f == 2) and placed~=1 then
														--print("Will place a block")
														BlockplaceDown()			--Does NOT replace blocks (except water/lava)
														placed = 1
												end
										end

										--if (round(Zx[-a]) == locZ or round(Zx[-a]) == -locZ or round(Zx[a]) == locZ or round(Zx[a]) == -locZ )  and placed~=1 then
										--		print("Will place a block")
										--		BlockplaceDown()			--Does NOT replace blocks (except water/lava)
										--		placed = 1
										--end


				end

				function Eq(Xc,Yc)
						if InputEquation == 1 then
								if dim == 2 then
										return (b/a)*math.sqrt(a^2-Xc^2)		--Rewriten Ellipse of form "x^2/a^2+y^2/b^2==1"
								elseif dim == 3 then
										return math.sqrt(a+b*Xc^2+c*Yc^2)		--3D Ellipse and hyperbola
								end

						elseif InputEquation == 2 then						--Polynomial
								if dim == 2 then
										return a*X^4+b*X^3+c*X^2+d*X+e
								elseif dim == 3 then

								end
						elseif InputEquation == 3 then
								if dim == 2 then

								elseif dim == 3 then

								end
						end
				end

				--Refuels turtle
				function TurtleRefuel()								--Refuel
						if turtle.getFuelLevel() < 320 and turtle.getItemCount(1) > 3 then
								turtle.select(1)
								turtle.refuel(3)
								print("TurtleRefueling")
						end
						turtle.select(u)
				end

				--Item slot selection , for block selection (ignores first item slot which is usually reserved for fuel)
				function SlotSelection()

						if turtle.getItemCount(u) == 0 then
								for k=2,16 do
										if turtle.getItemCount(u) == 0 then

												if u < 16 then
														u=u+1
														turtle.select(u)
												else
														turtle.select(2)
														u=2
												end
										end
								end
								if turtle.getItemCount(u) ==0 then
										emptyInven = true
								end
						else
								emptyInven = false
						end
				end

				function ChestSucking()
						for k=2,16 do
								turtle.select(k)
								turtle.suck()
						end
						turtle.select(u)
						emptyInven = false
				end
				--Place underneath (down) block (even on water and lava)
				function BlockplaceDown()
						SlotSelection()
						if emptyInven ~= true then
								if turtle.detectDown()then
										bool,data = turtle.inspectDown()
										if data.name == "minecraft:lava" and data.name == "minecraft:water" and data.name == "minecraft:flowing_water" and data.name == "minecraft:flowing_lava" then
												if turtle.placeDown() then
														placed = 1
												end
										end
								else
										if turtle.placeDown() then
												placed = 1
										end
								end
						else
								print("Empty inventory!")
						end
				end



				--Turn around
				function turnaround()
						turtle.turnLeft()
						turtle.turnLeft()
				end

				--graveldigforward
				function graveldig()								--Gravel Shield for digging and the digging
						os.sleep(9/20)
						if turtle.detect() then
								bool,data=turtle.inspect()
								while data.name ~= "minecraft:flowing_water" and data.name ~= "minecraft:flowing_lava" and turtle.inspect()~= false do
										turtle.dig()
										os.sleep(9/20)
										bool,data=turtle.inspect()
								end
						end
				end

				--Gravel Shield (Ensures that when digging up it will keep digging until all falling blocks are dealt with
				function graveldigUp()								--Gravel Shield for Up digging and the digging Up
						os.sleep(9/20)
						if turtle.detectUp() then
								bool,data=turtle.inspectUp()
								while data.name ~= "minecraft:flowing_water" and data.name ~= "minecraft:flowing_lava" and turtle.inspectUp()~= false do
										turtle.digUp()
										os.sleep(9/20)
										bool,data=turtle.inspect()
								end
						end
				end

				--Forward (in front) dig if something is detected (NO GRAVEL SHIELD!!!)
				function Fdig()
						if turtle.detect() then
								turtle.dig()
						end
				end

				--Dig N move
				function dignmove()
						Fdig()
						graveldig()
						turtle.forward()
				end
				--Checks emptyness
				function isempty(s)
						return s == nil or s == ' '
				end
				--Rounding numbers
				function round(num)
						if num ~= nil and num ~= nan then
								return math.floor(num+0.5)
						else
								return
						end
				end


				--Max value in a table
				function maxtab(a)
						local values = {}
						for k,v in pairs(a) do
								values[#values+1] = v
						end
						table.sort(values)
						return values[#values]
				end

				--Min value in a table
				function mintab(a)
						local values = {}
						for k,v in pairs(a) do
								values[#values+1] = v
						end
						table.sort(values)
						return values[1]
				end

				--Moves turtle up (it breaks the block above it first (has gavelshield)
				function UpdigMoveUp()
						if turtle.detectUp() then
								turtle.digUp()
						end
						graveldigUp()
						turtle.up()
				end


				--Down dig
				function Ddig()
						if turtle.detectDown() then
								turtle.digDown()
						end
				end


				--Dig N movedown
				function dignmovedown()
						Ddig()
						turtle.down()
				end

		--Code:



				if dim == 3 then
						while locY <= Ymax do
								while locX <= Xmax and locX >= Xmin do
										while locZ <= Zmax and locZ >= Zmin do

												TurtleRefuel()
												for Xvar = locX-i,locX+i,i/10 do
														for Yvar = locY-i,locY+i,i/10 do
																if (((round(Eq(Xvar,Yvar)) <= round(locZ)+i and round(Eq(Xvar,Yvar)) >= round(locZ)-i)
																or (round(Eq(Xvar,Yvar)) <= -round(locZ)+i and round(Eq(Xvar,Yvar)) >= -round(locZ)-i)
																or (round(Eq(locX,locY)) >= math.abs(round(locZ)) and f == 1)
																or (round(Eq(locX,locY)) <= math.abs(round(locZ)) and f == 2)) and placed ~= 1) then
																		BlockplaceDown()

																end
																if emptyInven == true then
																		break
																end
														end
												end



												if emptyInven == true then				--Module for empty inventory and refill
														print("inside empty inventory")
														if closetoHomeZ == 1 then		--Turns around if turtle is facing away from chest
																turnaround()
														end
														for k = 1, locZ-Zmin do				--Moves back to starting X axis
																dignmove()
														end

														turtle.turnRight()

														for k = 1 , locX-Xmin do				--Moves back to starting Z axis
																dignmove()
														end

														turtle.turnLeft()

														for k = 1 , locY - Ymin do
																dignmove()
														end

														ChestSucking()

														for k = 1 , locY - Ymin do
																dignmove()
														end

														turtle.turnLeft()

														for k = 1 ,locX-Xmin do				--Moves back to starting Z axis
																dignmove()
														end

														turtle.turnLeft()

														for k = 1, locZ-Zmin do				--Moves back to starting X axis
																dignmove()
														end
														if closetoHomeZ == 0 then
																turnaround()
														end



														BlockplaceDown()


												end
												placed = 0
												dignmove()
												if	closetoHomeZ == 1 then									--going towards Zmax
														locZ = locZ + 1
												else																			--away from Zmax
														locZ = locZ - 1
												end

										end


										if closetoHomeZ == 1 and locX < Xmax and locX > Xmin then
												turtle.turnRight()
												dignmove()
												turtle.turnRight()
												closetoHomeZ = 0
												if closetoHomeX == 1 then
														locX = locX + 1
												elseif closetoHomeX == 0 then
														locX = locX - 1
												end											--away from Zmax
										elseif closetoHomeZ == 0 and locX < Xmax and locX > Xmin then
												turtle.turnLeft()
												dignmove()
												turtle.turnLeft()
												closetoHomeZ = 1														--going towards Zmax
												if closetoHomeX == 1 then
														locX = locX + 1
												elseif closetoHomeX == 0 then
														locX = locX - 1
												end
										end

										dignmove()
										if	closetoHomeZ == 1 then									--going towards Zmax
												locZ = locZ + 1
										else																			--away from Zmax
												locZ = locZ - 1
										end

								end

								turnaround()
								if	closetoHomeX == 1 then									--going towards Zmax
										closetoHomeX = 0
								else																			--away from Zmax
										closetoHomeX = 1
								end

								if	closetoHomeZ == 1 then									--going towards Zmax
												closetoHomeZ = 0
										else																			--away from Zmax
												closetoHomeZ = 1
								end

								dignmove()
								if	closetoHomeZ == 1 then									--going towards Zmax
												locZ = locZ + 1
										else																			--away from Zmax
												locZ = locZ - 1
								end

								UpdigMoveUp()
								locY = locY + 1



						end


				elseif dim == 2 then

						while locX <= Xmax and locX >= Xmin do
								while locZ <= Zmax and locZ >= Zmin do

										TurtleRefuel()
										for Xvar = locX-i,locX+i,i/10 do
												if (((round(Eq(Xvar)) <= round(locZ)+i and round(Eq(Xvar)) >= round(locZ)-i)
												or (round(Eq(Xvar)) <= -round(locZ)+i and round(Eq(Xvar)) >= -round(locZ)-i)
												or (round(Eq(locX)) >= math.abs(round(locZ)) and f == 1)
												or (round(Eq(locX)) <= math.abs(round(locZ)) and f == 2)) and placed ~= 1) then
														BlockplaceDown()

												end
												if emptyInven == true then
														break
												end
										end



										if emptyInven == true then				--Module for empty inventory and refill
												print("inside empty inventory")
												if closetoHomeZ == 1 then		--Turns around if turtle is facing away from chest
														turnaround()
												end
												for k = 1, locZ-Zmin do				--Moves back to starting X axis
														dignmove()
												end

												turtle.turnRight()

												for k = 1 , locX-Xmin do				--Moves back to starting Z axis
														dignmove()
												end

												turtle.turnLeft()

												ChestSucking()


												turtle.turnLeft()

												for k = 1 ,locX-Xmin do				--Moves back to starting Z axis
														dignmove()
												end

												turtle.turnLeft()

												for k = 1, locZ-Zmin do				--Moves back to starting X axis
														dignmove()
												end
												if closetoHomeZ == 0 then
														turnaround()
												end

												BlockplaceDown()


										end
										placed = 0
										dignmove()
										if	closetoHomeZ == 1 then									--going towards Zmax
												locZ = locZ + 1
										else																			--away from Zmax
												locZ = locZ - 1
										end

								end

								if closetoHomeZ == 1 and locX < Xmax then
										turtle.turnRight()
										dignmove()
										turtle.turnRight()
										closetoHomeZ = 0														--away from Zmax
								elseif closetoHomeZ == 0 and locX < Xmax then
										turtle.turnLeft()
										dignmove()
										turtle.turnLeft()
										closetoHomeZ = 1														--going towards Zmax
								end
								locX = locX + 1

								dignmove()
								if	closetoHomeZ == 1 then									--going towards Zmax
										locZ = locZ + 1
								else																			--away from Zmax
										locZ = locZ - 1
								end


						end



				end		--2D-3D if loop closer