Module:TableTools

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    Revision as of 03:19, 17 December 2013 by m>Mr. Stradivarius (remove a variable that I didn't use in the end)

    Documentation for this module may be created at Module:TableTools/doc

    --[[
    ------------------------------------------------------------------------------------
    --                               TableTools                                       --
    --                                                                                --
    -- This module includes a number of functions for dealing with Lua tables.        --
    -- It is a meta-module, meant to be called from other Lua modules, and should     --
    -- not be called directly from #invoke.                                           --
    ------------------------------------------------------------------------------------
    --]]
    
    local p = {}
    
    -- Define often-used variables and functions.
    local floor = math.floor
    local infinity = math.huge
    
    -- Define a unique value to represent NaN. This is because NaN cannot be used as a table key.
    local nan = {}
    
    --[[
    ------------------------------------------------------------------------------------
    -- isPositiveInteger
    --
    -- This function returns true if the given number is a positive integer, and false
    -- if not. Although it doesn't operate on tables, it is included here as it is
    -- useful for determining whether a given table key is in the array part or the
    -- hash part of a table.
    ------------------------------------------------------------------------------------
    --]]
    function p.isPositiveInteger(num)
    	if type(num) == 'number' and num >= 1 and floor(num) == num and num < infinity then
    		return true
    	else
    		return false
    	end
    end
    
    --[[
    ------------------------------------------------------------------------------------
    -- union
    --
    -- This returns the union of the key/value pairs of n tables. If any of the tables
    -- contain different values for the same table key, the table value is converted
    -- to an array holding all of the different values.
    ------------------------------------------------------------------------------------
    --]]
    function p.union(...)
    	local ret, trackArrays = {}, {}
    	for i = 1, select('#', ...) do
    		local t = select(i, ...)
    		for k, v in pairs(t) do
    			local retKey = ret[k]
    			if retKey == nil then
    				ret[k] = v
    			elseif retKey ~= v then
    				if trackArrays[k] then
    					local array = ret[k]
    					array[#array + 1] = v
    					ret[k] = array
    				else
    					ret[k] = {ret[k], v}
    					trackArrays[k] = true
    				end
    			end
    		end
    	end
    	return ret
    end				
    
    --[[
    ------------------------------------------------------------------------------------
    -- valueUnion
    --
    -- This returns the union of the values of n tables, as an array. For example, for
    -- the tables {1, 3, 4, 5, foo = 7} and {2, bar = 3, 5, 6}, union will return
    -- {1, 2, 3, 4, 5, 6, 7}.
    ------------------------------------------------------------------------------------
    --]]
    function p.valueUnion(...)
    	local vals, ret = {}, {}
    	for i = 1, select('#', ...) do
    		local t = select(i, ...)
    		for k, v in pairs(t) do
    			if type(v) == 'number' and tostring(v) == '-nan' then
    				v = nan -- NaN cannot be a table key, so use a proxy variable.
    			end
    			vals[v] = true
    		end
    	end
    	for val in pairs(vals) do
    		if val == nan then
    			-- This ensures that we output a NaN when we had one as input, although
    			-- they may have been generated in a completely different way.
    			val = 0/0 
    		end
    		ret[#ret + 1] = val
    	end
    	return ret
    end	
    
    --[[
    ------------------------------------------------------------------------------------
    -- intersection
    --
    -- This returns the intersection of the key/value pairs of n tables. Both the key
    -- and the value must match to be included in the resulting table.
    ------------------------------------------------------------------------------------
    --]]
    function p.intersection(...)
    	local ret, track, pairCounts = {}, {}, {}
    	local lim = select('#', ...)
    	for i = 1, lim do
    		local t = select(i, ...)
    		for k, v in pairs(t) do
    			local trackVal = track[k]
    			if trackVal == nil then
    				track[k] = v
    				pairCounts[k] = 1
    			elseif trackVal == v then
    				pairCounts[k] = pairCounts[k] + 1
    			end
    		end
    	end
    	for k, v in pairs(track) do
    		if pairCounts[k] == lim then
    			ret[k] = v
    		end
    	end
    	return ret
    end
    
    --[[
    ------------------------------------------------------------------------------------
    -- valueIntersection
    --
    -- This returns the intersection of the values of n tables, as an array. For
    -- example, for the tables {1, 3, 4, 5, foo = 7} and {2, bar = 3, 5, 6}, 
    -- intersection will return {3, 5}.
    ------------------------------------------------------------------------------------
    --]]
    function p.valueIntersection(...)
    	local vals, ret = {}, {}
    	local lim = select('#', ...)
    	for i = 1, lim do
    		local t = select(i, ...)
    		for k, v in pairs(t) do
    			if type(v) == 'number' and tostring(v) == '-nan' then
    				v = nan -- NaN cannot be a table key, so use a proxy variable.
    			end
    			local valCount = vals[v] or 0
    			vals[v] = valCount + 1
    		end
    	end
    	for val, count in pairs(vals) do
    		if count == lim then
    			if val == nan then
    				-- This ensures that we output a NaN when we had one as input, although
    				-- they may have been generated in a completely different way.
    				val = 0/0 
    			end
    			ret[#ret + 1] = val
    		end
    	end
    	return ret
    end
    
    --[[
    ------------------------------------------------------------------------------------
    -- numKeys
    --
    -- This takes a table and returns an array containing the numbers of any numerical
    -- keys that have non-nil values, sorted in numerical order.
    ------------------------------------------------------------------------------------
    --]]
    function p.numKeys(t)
    	local isPositiveInteger = p.isPositiveInteger
    	local nums = {}
    	for k, v in pairs(t) do
    		if isPositiveInteger(k) then
    			nums[#nums + 1] = k
    		end
    	end
    	table.sort(nums)
    	return nums
    end
    
    --[[
    ------------------------------------------------------------------------------------
    -- affixNums
    --
    -- This takes a table and returns an array containing the numbers of keys with the
    -- specified prefix and suffix. For example, for the table
    -- {a1 = 'foo', a3 = 'bar', a6 = 'baz'} and the prefix "a", affixNums will
    -- return {1, 3, 6}.
    ------------------------------------------------------------------------------------
    --]]
    function p.affixNums(t, prefix, suffix)
    	prefix = prefix or ''
    	suffix = suffix or ''
    	local pattern = '^' .. prefix .. '([1-9]%d*)' .. suffix .. '$'
    	local nums = {}
    	for k, v in pairs(t) do
    		if type(k) == 'string' then			
    			local num = mw.ustring.match(k, pattern)
    			if num then
    				nums[#nums + 1] = tonumber(num)
    			end
    		end
    	end
    	table.sort(nums)
    	return nums
    end
    
    --[[
    ------------------------------------------------------------------------------------
    -- compressSparseArray
    --
    -- This takes an array with one or more nil values, and removes the nil values
    -- while preserving the order, so that the array can be safely traversed with
    -- ipairs.
    ------------------------------------------------------------------------------------
    --]]
    function p.compressSparseArray(t)
    	local ret = {}
    	local nums = p.numKeys(t)
    	for _, num in ipairs(nums) do
    		ret[#ret + 1] = t[num]
    	end
    	return ret
    end
    
    --[[
    ------------------------------------------------------------------------------------
    -- sparseIpairs
    --
    -- This is an iterator for sparse arrays. It can be used like ipairs, but can
    -- handle nil values.
    ------------------------------------------------------------------------------------
    --]]
    function p.sparseIpairs(t)
    	local nums = p.numKeys(t)
    	local i = 0
    	local lim = #nums
    	return function ()
    		i = i + 1
    		if i <= lim then
    			local key = nums[i]
    			return key, t[key]
    		end
    	end
    end
    
    return p