Add paramtype2s for 4 horizontal rotations and 64 colors (#11431)

4dir is like facedir, but only for 4 horizontal directions: NESW. It is identical in behavior to facedir otherwise. The reason why game makers would want to use this over facedir is 1) simplicity and 2) you get 6 free bits.
It can be used for things like chests and furnaces and you don't need or want them to "flip them on the side" (like you could with facedir).

color4dir is like colorfacedir, but you get 64 colors instead of only 8.

builtin/game/falling.lua

@@ -161,7 +161,16 @@ core.register_entity(":__builtin:falling_node", {
 				local fdir = node.param2 % 32 % 24
 				-- Get rotation from a precalculated lookup table
 				local euler = facedir_to_euler[fdir + 1]
-				self.object:set_rotation(euler)
+				if euler then
+					self.object:set_rotation(euler)
+				end
+			elseif (def.paramtype2 == "4dir" or def.paramtype2 == "color4dir") then
+				local fdir = node.param2 % 4
+				-- Get rotation from a precalculated lookup table
+				local euler = facedir_to_euler[fdir + 1]
+				if euler then
+					self.object:set_rotation(euler)
+				end
 			elseif (def.drawtype ~= "plantlike" and def.drawtype ~= "plantlike_rooted" and
 					(def.paramtype2 == "wallmounted" or def.paramtype2 == "colorwallmounted" or def.drawtype == "signlike")) then
 				local rot = node.param2 % 8

builtin/game/item.lua

@@ -205,7 +205,9 @@ function core.item_place_node(itemstack, placer, pointed_thing, param2,
 		newnode.param2 = core.dir_to_wallmounted(dir)
 	-- Calculate the direction for furnaces and chests and stuff
 	elseif (def.paramtype2 == "facedir" or
-			def.paramtype2 == "colorfacedir") and not param2 then
+			def.paramtype2 == "colorfacedir" or
+			def.paramtype2 == "4dir" or
+			def.paramtype2 == "color4dir") and not param2 then
 		local placer_pos = placer and placer:get_pos()
 		if placer_pos then
 			local dir = vector.subtract(above, placer_pos)
@@ -225,6 +227,8 @@ function core.item_place_node(itemstack, placer, pointed_thing, param2,
 			color_divisor = 8
 		elseif def.paramtype2 == "colorfacedir" then
 			color_divisor = 32
+		elseif def.paramtype2 == "color4dir" then
+			color_divisor = 4
 		elseif def.paramtype2 == "colordegrotate" then
 			color_divisor = 32
 		end

builtin/game/item_s.lua

@@ -92,6 +92,26 @@ function core.facedir_to_dir(facedir)
 	return facedir_to_dir[facedir_to_dir_map[facedir % 32]]
 end
 
+function core.dir_to_fourdir(dir)
+	if math.abs(dir.x) > math.abs(dir.z) then
+		if dir.x < 0 then
+			return 3
+		else
+			return 1
+		end
+	else
+		if dir.z < 0 then
+			return 2
+		else
+			return 0
+		end
+	end
+end
+
+function core.fourdir_to_dir(fourdir)
+	return facedir_to_dir[facedir_to_dir_map[fourdir % 4]]
+end
+
 function core.dir_to_wallmounted(dir)
 	if math.abs(dir.y) > math.max(math.abs(dir.x), math.abs(dir.z)) then
 		if dir.y < 0 then
@@ -137,7 +157,8 @@ end
 
 function core.is_colored_paramtype(ptype)
 	return (ptype == "color") or (ptype == "colorfacedir") or
-		(ptype == "colorwallmounted") or (ptype == "colordegrotate")
+		(ptype == "color4dir") or (ptype == "colorwallmounted") or
+		(ptype == "colordegrotate")
 end
 
 function core.strip_param2_color(param2, paramtype2)
@@ -146,6 +167,8 @@ function core.strip_param2_color(param2, paramtype2)
 	end
 	if paramtype2 == "colorfacedir" then
 		param2 = math.floor(param2 / 32) * 32
+	elseif paramtype2 == "color4dir" then
+		param2 = math.floor(param2 / 4) * 4
 	elseif paramtype2 == "colorwallmounted" then
 		param2 = math.floor(param2 / 8) * 8
 	elseif paramtype2 == "colordegrotate" then