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m (Changed protection level for "Module:TableTools": High-risk Lua module: bumping protection level due to high usage, plus the stability of the module. See https://en.wikipedia.org/w/index.php?title=Wikipedia:Requests_for_page_protection&oldid=983044034#Module:TableTools ([Edit=Require administrator access] (indefinite) [Move=Require administrator access] (indefinite)))  | 
				m (1 revision imported from wikipedia:en:Module:TableTools)  | 
				||
| (4 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
--   | --                                   TableTools                                   --  | ||
--                                                                                --  | --                                                                                --  | ||
-- This module includes a number of functions for dealing with Lua tables.        --  | -- 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   | -- It is a meta-module, meant to be called from other Lua modules, and should not --  | ||
--   | -- be called directly from #invoke.                                               --  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
local libraryUtil = require('libraryUtil')  | local libraryUtil = require('libraryUtil')  | ||
| Line 19: | Line 17: | ||
local checkTypeMulti = libraryUtil.checkTypeMulti  | local checkTypeMulti = libraryUtil.checkTypeMulti  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
-- isPositiveInteger  | -- isPositiveInteger  | ||
| Line 28: | Line 25: | ||
-- hash part of a table.  | -- hash part of a table.  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
function p.isPositiveInteger(v)  | function p.isPositiveInteger(v)  | ||
	return type(v) == 'number' and v >= 1 and floor(v) == v and v < infinity  | 	return type(v) == 'number' and v >= 1 and floor(v) == v and v < infinity  | ||
end  | end  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
-- isNan  | -- isNan  | ||
--  | --  | ||
-- This function returns true if the given number is a NaN value, and false  | -- This function returns true if the given number is a NaN value, and false if  | ||
--   | -- not. Although it doesn't operate on tables, it is included here as it is useful  | ||
--   | -- for determining whether a value can be a valid table key. Lua will generate an  | ||
--   | -- error if a NaN is used as a table key.  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
function p.isNan(v)  | function p.isNan(v)  | ||
	return type(v) == 'number' and   | 	return type(v) == 'number' and v ~= v  | ||
end  | end  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
-- shallowClone  | -- shallowClone  | ||
| Line 55: | Line 48: | ||
-- table will have no metatable of its own.  | -- table will have no metatable of its own.  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
function p.shallowClone(t)  | function p.shallowClone(t)  | ||
	checkType('shallowClone', 1, t, 'table')  | |||
	local ret = {}  | 	local ret = {}  | ||
	for k, v in pairs(t) do  | 	for k, v in pairs(t) do  | ||
| Line 64: | Line 57: | ||
end  | end  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
-- removeDuplicates  | -- removeDuplicates  | ||
| Line 72: | Line 64: | ||
-- removed, but otherwise the array order is unchanged.  | -- removed, but otherwise the array order is unchanged.  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
function p.removeDuplicates(arr)  | |||
function p.removeDuplicates(  | 	checkType('removeDuplicates', 1, arr, 'table')  | ||
	checkType('removeDuplicates', 1,   | |||
	local isNan = p.isNan  | 	local isNan = p.isNan  | ||
	local ret, exists = {}, {}  | 	local ret, exists = {}, {}  | ||
	for   | 	for _, v in ipairs(arr) do  | ||
		if isNan(v) then  | 		if isNan(v) then  | ||
			-- NaNs can't be table keys, and they are also unique, so we don't need to check existence.  | 			-- NaNs can't be table keys, and they are also unique, so we don't need to check existence.  | ||
| Line 86: | Line 77: | ||
				exists[v] = true  | 				exists[v] = true  | ||
			end  | 			end  | ||
		end	  | 		end  | ||
	end  | 	end  | ||
	return ret  | 	return ret  | ||
end	  | end  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
-- numKeys  | -- numKeys  | ||
| Line 98: | Line 88: | ||
-- keys that have non-nil values, sorted in numerical order.  | -- keys that have non-nil values, sorted in numerical order.  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
function p.numKeys(t)  | function p.numKeys(t)  | ||
	checkType('numKeys', 1, t, 'table')  | 	checkType('numKeys', 1, t, 'table')  | ||
	local isPositiveInteger = p.isPositiveInteger  | 	local isPositiveInteger = p.isPositiveInteger  | ||
	local nums = {}  | 	local nums = {}  | ||
	for k  | 	for k in pairs(t) do  | ||
		if isPositiveInteger(k) then  | 		if isPositiveInteger(k) then  | ||
			nums[#nums + 1] = k  | 			nums[#nums + 1] = k  | ||
| Line 112: | Line 101: | ||
end  | end  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
-- affixNums  | -- affixNums  | ||
| Line 118: | Line 106: | ||
-- This takes a table and returns an array containing the numbers of keys with the  | -- This takes a table and returns an array containing the numbers of keys with the  | ||
-- specified prefix and suffix. For example, for the table  | -- specified prefix and suffix. For example, for the table  | ||
-- {a1 = 'foo', a3 = 'bar', a6 = 'baz'} and the prefix "a", affixNums will  | -- {a1 = 'foo', a3 = 'bar', a6 = 'baz'} and the prefix "a", affixNums will return  | ||
--   | -- {1, 3, 6}.  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
function p.affixNums(t, prefix, suffix)  | function p.affixNums(t, prefix, suffix)  | ||
	checkType('affixNums', 1, t, 'table')  | 	checkType('affixNums', 1, t, 'table')  | ||
| Line 139: | Line 126: | ||
	local nums = {}  | 	local nums = {}  | ||
	for k  | 	for k in pairs(t) do  | ||
		if type(k) == 'string' then	  | 		if type(k) == 'string' then  | ||
			local num = mw.ustring.match(k, pattern)  | 			local num = mw.ustring.match(k, pattern)  | ||
			if num then  | 			if num then  | ||
| Line 151: | Line 138: | ||
end  | end  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
-- numData  | -- numData  | ||
--  | --  | ||
-- Given a table with keys like   | -- Given a table with keys like {"foo1", "bar1", "foo2", "baz2"}, returns a table  | ||
-- of subtables in the format    | -- of subtables in the format  | ||
-- { [1] = {foo = 'text', bar = 'text'}, [2] = {foo = 'text', baz = 'text'} }  | -- {[1] = {foo = 'text', bar = 'text'}, [2] = {foo = 'text', baz = 'text'}}.  | ||
-- Keys that don't end with an integer are stored in a subtable named "other".  | -- Keys that don't end with an integer are stored in a subtable named "other". The  | ||
--   | -- compress option compresses the table so that it can be iterated over with  | ||
-- ipairs.  | -- ipairs.  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
function p.numData(t, compress)  | function p.numData(t, compress)  | ||
	checkType('numData', 1, t, 'table')  | 	checkType('numData', 1, t, 'table')  | ||
| Line 192: | Line 177: | ||
end  | end  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
-- compressSparseArray  | -- compressSparseArray  | ||
| Line 200: | Line 184: | ||
-- ipairs.  | -- ipairs.  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
function p.compressSparseArray(t)  | function p.compressSparseArray(t)  | ||
	checkType('compressSparseArray', 1, t, 'table')  | 	checkType('compressSparseArray', 1, t, 'table')  | ||
| Line 211: | Line 194: | ||
end  | end  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
-- sparseIpairs  | -- sparseIpairs  | ||
| Line 218: | Line 200: | ||
-- handle nil values.  | -- handle nil values.  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
function p.sparseIpairs(t)  | function p.sparseIpairs(t)  | ||
	checkType('sparseIpairs', 1, t, 'table')  | 	checkType('sparseIpairs', 1, t, 'table')  | ||
| Line 235: | Line 216: | ||
end  | end  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
-- size  | -- size  | ||
| Line 242: | Line 222: | ||
-- but for arrays it is more efficient to use the # operator.  | -- but for arrays it is more efficient to use the # operator.  | ||
------------------------------------------------------------------------------------  | ------------------------------------------------------------------------------------  | ||
function p.size(t)  | function p.size(t)  | ||
	checkType('size', 1, t, 'table')  | 	checkType('size', 1, t, 'table')  | ||
	local i = 0  | 	local i = 0  | ||
	for   | 	for _ in pairs(t) do  | ||
		i = i + 1  | 		i = i + 1  | ||
	end  | 	end  | ||
	return i  | 	return i  | ||
end  | end  | ||
local function defaultKeySort(item1, item2)  | local function defaultKeySort(item1, item2)  | ||
| Line 259: | Line 236: | ||
	if type1 ~= type2 then  | 	if type1 ~= type2 then  | ||
		return type1 < type2  | 		return type1 < type2  | ||
	elseif type1 == 'table' or type1 == 'boolean' or type1 == 'function' then  | |||
		return tostring(item1) < tostring(item2)  | |||
	else  | |||
		return item1 < item2  | 		return item1 < item2  | ||
	end  | 	end  | ||
end  | end  | ||
------------------------------------------------------------------------------------  | |||
--  | -- keysToList  | ||
--  | |||
-- Returns an array of the keys in a table, sorted using either a default  | |||
-- comparison function or a custom keySort function.  | |||
------------------------------------------------------------------------------------  | |||
function p.keysToList(t, keySort, checked)  | function p.keysToList(t, keySort, checked)  | ||
	if not checked then  | 	if not checked then  | ||
		checkType('keysToList', 1, t, 'table')  | 		checkType('keysToList', 1, t, 'table')  | ||
		checkTypeMulti('keysToList', 2, keySort, { 'function', 'boolean', 'nil' })  | 		checkTypeMulti('keysToList', 2, keySort, {'function', 'boolean', 'nil'})  | ||
	end  | 	end  | ||
	local   | 	local arr = {}  | ||
	local index = 1  | 	local index = 1  | ||
	for   | 	for k in pairs(t) do  | ||
		arr[index] = k  | |||
		index = index + 1  | 		index = index + 1  | ||
	end  | 	end  | ||
	if keySort ~= false then  | 	if keySort ~= false then  | ||
		keySort = type(keySort) == 'function' and keySort or defaultKeySort  | 		keySort = type(keySort) == 'function' and keySort or defaultKeySort  | ||
		table.sort(arr, keySort)  | |||
		table.sort(  | |||
	end  | 	end  | ||
	return   | 	return arr  | ||
end  | end  | ||
--  | ------------------------------------------------------------------------------------  | ||
-- sortedPairs  | |||
--  | |||
-- Iterates through a table, with the keys sorted using the keysToList function.  | |||
-- If there are only numerical keys, sparseIpairs is probably more efficient.  | |||
------------------------------------------------------------------------------------  | |||
function p.sortedPairs(t, keySort)  | function p.sortedPairs(t, keySort)  | ||
	checkType('sortedPairs', 1, t, 'table')  | 	checkType('sortedPairs', 1, t, 'table')  | ||
	checkType('sortedPairs', 2, keySort, 'function', true)  | 	checkType('sortedPairs', 2, keySort, 'function', true)  | ||
	local   | 	local arr = p.keysToList(t, keySort, true)  | ||
	local i = 0  | 	local i = 0  | ||
	return function()  | 	return function ()  | ||
		i = i + 1  | 		i = i + 1  | ||
		local key =   | 		local key = arr[i]  | ||
		if key ~= nil then  | 		if key ~= nil then  | ||
			return key, t[key]  | 			return key, t[key]  | ||
| Line 312: | Line 293: | ||
end  | end  | ||
--  | ------------------------------------------------------------------------------------  | ||
-- isArray  | |||
--  | --  | ||
function p.isArray(  | -- Returns true if the given value is a table and all keys are consecutive  | ||
-- integers starting at 1.  | |||
------------------------------------------------------------------------------------  | |||
function p.isArray(v)  | |||
	if type(v) ~= 'table' then  | |||
		return false  | |||
	end  | |||
	local i = 0  | 	local i = 0  | ||
	for   | 	for _ in pairs(v) do  | ||
		i = i + 1  | |||
		if v[i] == nil then  | |||
			return false  | |||
		end  | |||
	end  | |||
	return true  | |||
end  | |||
------------------------------------------------------------------------------------  | |||
-- isArrayLike  | |||
--  | |||
-- Returns true if the given value is iterable and all keys are consecutive  | |||
-- integers starting at 1.  | |||
------------------------------------------------------------------------------------  | |||
function p.isArrayLike(v)  | |||
	if not pcall(pairs, v) then  | |||
		return false  | |||
	end  | |||
	local i = 0  | |||
	for _ in pairs(v) do  | |||
		i = i + 1  | 		i = i + 1  | ||
		if   | 		if v[i] == nil then  | ||
			return false  | 			return false  | ||
		end  | 		end  | ||
| Line 328: | Line 333: | ||
end  | end  | ||
-- { "a", "b", "c" } -> { a = 1, b = 2, c = 3 }  | ------------------------------------------------------------------------------------  | ||
function p.invert(  | -- invert  | ||
	checkType("invert", 1,   | --  | ||
-- Transposes the keys and values in an array. For example, {"a", "b", "c"} ->  | |||
-- {a = 1, b = 2, c = 3}. Duplicates are not supported (result values refer to  | |||
-- the index of the last duplicate) and NaN values are ignored.  | |||
------------------------------------------------------------------------------------  | |||
function p.invert(arr)  | |||
	checkType("invert", 1, arr, "table")  | |||
	local isNan = p.isNan  | |||
	local map = {}  | 	local map = {}  | ||
	for i, v in ipairs(  | 	for i, v in ipairs(arr) do  | ||
		map[v] = i  | 		if not isNan(v) then  | ||
			map[v] = i  | |||
		end  | |||
	end  | 	end  | ||
	return map  | 	return map  | ||
end  | end  | ||
--  | ------------------------------------------------------------------------------------  | ||
-- listToSet  | |||
--  | --  | ||
function p.listToSet(  | -- Creates a set from the array part of the table. Indexing the set by any of the  | ||
	checkType("listToSet", 1,   | -- values of the array returns true. For example, {"a", "b", "c"} ->  | ||
-- {a = true, b = true, c = true}. NaN values are ignored as Lua considers them  | |||
-- never equal to any value (including other NaNs or even themselves).  | |||
------------------------------------------------------------------------------------  | |||
function p.listToSet(arr)  | |||
	checkType("listToSet", 1, arr, "table")  | |||
	local isNan = p.isNan  | |||
	local set = {}  | 	local set = {}  | ||
	for _,   | 	for _, v in ipairs(arr) do  | ||
		set[  | 		if not isNan(v) then  | ||
			set[v] = true  | |||
		end  | |||
	end  | 	end  | ||
	return set  | 	return set  | ||
end  | end  | ||
--  | ------------------------------------------------------------------------------------  | ||
-- deepCopy  | |||
--  | |||
-- Recursive deep copy function. Preserves identities of subtables.  | |||
------------------------------------------------------------------------------------  | |||
local function _deepCopy(orig, includeMetatable, already_seen)  | local function _deepCopy(orig, includeMetatable, already_seen)  | ||
	-- Stores copies of tables indexed by the original table.  | 	-- Stores copies of tables indexed by the original table.  | ||
	already_seen = already_seen or {}  | 	already_seen = already_seen or {}  | ||
	local copy = already_seen[orig]  | 	local copy = already_seen[orig]  | ||
	if copy ~= nil then  | 	if copy ~= nil then  | ||
		return copy  | 		return copy  | ||
	end  | 	end  | ||
	if type(orig) == 'table' then  | 	if type(orig) == 'table' then  | ||
		copy = {}  | 		copy = {}  | ||
		for orig_key, orig_value in pairs(orig) do  | 		for orig_key, orig_value in pairs(orig) do  | ||
			copy[  | 			copy[_deepCopy(orig_key, includeMetatable, already_seen)] = _deepCopy(orig_value, includeMetatable, already_seen)  | ||
		end  | 		end  | ||
		already_seen[orig] = copy  | 		already_seen[orig] = copy  | ||
		if includeMetatable then  | 		if includeMetatable then  | ||
			local mt = getmetatable(orig)  | 			local mt = getmetatable(orig)  | ||
			if mt ~= nil then  | 			if mt ~= nil then  | ||
				local mt_copy =   | 				local mt_copy = _deepCopy(mt, includeMetatable, already_seen)  | ||
				setmetatable(copy, mt_copy)  | 				setmetatable(copy, mt_copy)  | ||
				already_seen[mt] = mt_copy  | 				already_seen[mt] = mt_copy  | ||
| Line 391: | Line 411: | ||
function p.deepCopy(orig, noMetatable, already_seen)  | function p.deepCopy(orig, noMetatable, already_seen)  | ||
	checkType("deepCopy", 3, already_seen, "table", true)  | 	checkType("deepCopy", 3, already_seen, "table", true)  | ||
	return _deepCopy(orig, not noMetatable, already_seen)  | 	return _deepCopy(orig, not noMetatable, already_seen)  | ||
end  | end  | ||
--  | ------------------------------------------------------------------------------------  | ||
-- sparseConcat  | |||
--  | |||
-- Concatenates all values in the table that are indexed by a number, in order.  | |||
-- sparseConcat{a, nil, c, d}  =>  "acd"  | |||
-- sparseConcat{nil, b, c, d}  =>  "bcd"  | |||
------------------------------------------------------------------------------------  | |||
function p.sparseConcat(t, sep, i, j)  | function p.sparseConcat(t, sep, i, j)  | ||
	local   | 	local arr = {}  | ||
	local   | 	local arr_i = 0  | ||
	for _, v in p.sparseIpairs(t) do  | 	for _, v in p.sparseIpairs(t) do  | ||
		arr_i = arr_i + 1  | |||
		arr[arr_i] = v  | |||
	end  | 	end  | ||
	return table.concat(  | 	return table.concat(arr, sep, i, j)  | ||
end  | end  | ||
--  | ------------------------------------------------------------------------------------  | ||
-- Finds the length of an array, or of a quasi-array with keys such  | -- length  | ||
--  | |||
-- Finds the length of an array, or of a quasi-array with keys such as "data1",  | |||
-- "data2", etc., using an exponential search algorithm. It is similar to the  | |||
-- operator #, but may return a different value when there are gaps in the array  | |||
-- Note: #frame.args in frame object always be set to 0, regardless of    | -- portion of the table. Intended to be used on data loaded with mw.loadData. For  | ||
--   | -- other tables, use #.  | ||
-- Note: #frame.args in frame object always be set to 0, regardless of  the number  | |||
--  | -- of unnamed template parameters, so use this function for frame.args.  | ||
------------------------------------------------------------------------------------  | |||
function p.length(t, prefix)  | function p.length(t, prefix)  | ||
	-- requiring module inline so that [[Module:Exponential search]]  | 	-- requiring module inline so that [[Module:Exponential search]] which is  | ||
	--   | 	-- only needed by this one function doesn't get millions of transclusions  | ||
	local expSearch = require("Module:Exponential search")  | 	local expSearch = require("Module:Exponential search")  | ||
	checkType('length', 1, t, 'table')  | 	checkType('length', 1, t, 'table')  | ||
	checkType('length', 2, prefix, 'string', true)  | 	checkType('length', 2, prefix, 'string', true)  | ||
	return expSearch(function(i)  | 	return expSearch(function (i)  | ||
		local key  | 		local key  | ||
		if prefix then  | 		if prefix then  | ||
| Line 440: | Line 460: | ||
	end) or 0  | 	end) or 0  | ||
end  | end  | ||
------------------------------------------------------------------------------------  | |||
-- inArray  | |||
--  | |||
-- Returns true if valueToFind is a member of the array, and false otherwise.  | |||
------------------------------------------------------------------------------------  | |||
function p.inArray(arr, valueToFind)  | function p.inArray(arr, valueToFind)  | ||
	checkType("inArray", 1, arr, "table")  | 	checkType("inArray", 1, arr, "table")  | ||
	-- if valueToFind is nil, error?  | 	-- if valueToFind is nil, error?  | ||
	for _, v in ipairs(arr) do  | 	for _, v in ipairs(arr) do  | ||
		if v == valueToFind then  | 		if v == valueToFind then  | ||
| Line 450: | Line 475: | ||
		end  | 		end  | ||
	end  | 	end  | ||
	return false  | 	return false  | ||
end  | end  | ||
return p  | return p  | ||
Latest revision as of 21:11, 31 January 2022
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 libraryUtil = require('libraryUtil')
local p = {}
-- Define often-used variables and functions.
local floor = math.floor
local infinity = math.huge
local checkType = libraryUtil.checkType
local checkTypeMulti = libraryUtil.checkTypeMulti
------------------------------------------------------------------------------------
-- isPositiveInteger
--
-- This function returns true if the given value 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(v)
	return type(v) == 'number' and v >= 1 and floor(v) == v and v < infinity
end
------------------------------------------------------------------------------------
-- isNan
--
-- This function returns true if the given number is a NaN value, and false if
-- not. Although it doesn't operate on tables, it is included here as it is useful
-- for determining whether a value can be a valid table key. Lua will generate an
-- error if a NaN is used as a table key.
------------------------------------------------------------------------------------
function p.isNan(v)
	return type(v) == 'number' and v ~= v
end
------------------------------------------------------------------------------------
-- shallowClone
--
-- This returns a clone of a table. The value returned is a new table, but all
-- subtables and functions are shared. Metamethods are respected, but the returned
-- table will have no metatable of its own.
------------------------------------------------------------------------------------
function p.shallowClone(t)
	checkType('shallowClone', 1, t, 'table')
	local ret = {}
	for k, v in pairs(t) do
		ret[k] = v
	end
	return ret
end
------------------------------------------------------------------------------------
-- removeDuplicates
--
-- This removes duplicate values from an array. Non-positive-integer keys are
-- ignored. The earliest value is kept, and all subsequent duplicate values are
-- removed, but otherwise the array order is unchanged.
------------------------------------------------------------------------------------
function p.removeDuplicates(arr)
	checkType('removeDuplicates', 1, arr, 'table')
	local isNan = p.isNan
	local ret, exists = {}, {}
	for _, v in ipairs(arr) do
		if isNan(v) then
			-- NaNs can't be table keys, and they are also unique, so we don't need to check existence.
			ret[#ret + 1] = v
		else
			if not exists[v] then
				ret[#ret + 1] = v
				exists[v] = true
			end
		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)
	checkType('numKeys', 1, t, 'table')
	local isPositiveInteger = p.isPositiveInteger
	local nums = {}
	for k 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)
	checkType('affixNums', 1, t, 'table')
	checkType('affixNums', 2, prefix, 'string', true)
	checkType('affixNums', 3, suffix, 'string', true)
	local function cleanPattern(s)
		-- Cleans a pattern so that the magic characters ()%.[]*+-?^$ are interpreted literally.
		return s:gsub('([%(%)%%%.%[%]%*%+%-%?%^%$])', '%%%1')
	end
	prefix = prefix or ''
	suffix = suffix or ''
	prefix = cleanPattern(prefix)
	suffix = cleanPattern(suffix)
	local pattern = '^' .. prefix .. '([1-9]%d*)' .. suffix .. '$'
	local nums = {}
	for k 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
------------------------------------------------------------------------------------
-- numData
--
-- Given a table with keys like {"foo1", "bar1", "foo2", "baz2"}, returns a table
-- of subtables in the format
-- {[1] = {foo = 'text', bar = 'text'}, [2] = {foo = 'text', baz = 'text'}}.
-- Keys that don't end with an integer are stored in a subtable named "other". The
-- compress option compresses the table so that it can be iterated over with
-- ipairs.
------------------------------------------------------------------------------------
function p.numData(t, compress)
	checkType('numData', 1, t, 'table')
	checkType('numData', 2, compress, 'boolean', true)
	local ret = {}
	for k, v in pairs(t) do
		local prefix, num = mw.ustring.match(tostring(k), '^([^0-9]*)([1-9][0-9]*)$')
		if num then
			num = tonumber(num)
			local subtable = ret[num] or {}
			if prefix == '' then
				-- Positional parameters match the blank string; put them at the start of the subtable instead.
				prefix = 1
			end
			subtable[prefix] = v
			ret[num] = subtable
		else
			local subtable = ret.other or {}
			subtable[k] = v
			ret.other = subtable
		end
	end
	if compress then
		local other = ret.other
		ret = p.compressSparseArray(ret)
		ret.other = other
	end
	return ret
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)
	checkType('compressSparseArray', 1, t, 'table')
	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)
	checkType('sparseIpairs', 1, t, 'table')
	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]
		else
			return nil, nil
		end
	end
end
------------------------------------------------------------------------------------
-- size
--
-- This returns the size of a key/value pair table. It will also work on arrays,
-- but for arrays it is more efficient to use the # operator.
------------------------------------------------------------------------------------
function p.size(t)
	checkType('size', 1, t, 'table')
	local i = 0
	for _ in pairs(t) do
		i = i + 1
	end
	return i
end
local function defaultKeySort(item1, item2)
	-- "number" < "string", so numbers will be sorted before strings.
	local type1, type2 = type(item1), type(item2)
	if type1 ~= type2 then
		return type1 < type2
	elseif type1 == 'table' or type1 == 'boolean' or type1 == 'function' then
		return tostring(item1) < tostring(item2)
	else
		return item1 < item2
	end
end
------------------------------------------------------------------------------------
-- keysToList
--
-- Returns an array of the keys in a table, sorted using either a default
-- comparison function or a custom keySort function.
------------------------------------------------------------------------------------
function p.keysToList(t, keySort, checked)
	if not checked then
		checkType('keysToList', 1, t, 'table')
		checkTypeMulti('keysToList', 2, keySort, {'function', 'boolean', 'nil'})
	end
	local arr = {}
	local index = 1
	for k in pairs(t) do
		arr[index] = k
		index = index + 1
	end
	if keySort ~= false then
		keySort = type(keySort) == 'function' and keySort or defaultKeySort
		table.sort(arr, keySort)
	end
	return arr
end
------------------------------------------------------------------------------------
-- sortedPairs
--
-- Iterates through a table, with the keys sorted using the keysToList function.
-- If there are only numerical keys, sparseIpairs is probably more efficient.
------------------------------------------------------------------------------------
function p.sortedPairs(t, keySort)
	checkType('sortedPairs', 1, t, 'table')
	checkType('sortedPairs', 2, keySort, 'function', true)
	local arr = p.keysToList(t, keySort, true)
	local i = 0
	return function ()
		i = i + 1
		local key = arr[i]
		if key ~= nil then
			return key, t[key]
		else
			return nil, nil
		end
	end
end
------------------------------------------------------------------------------------
-- isArray
--
-- Returns true if the given value is a table and all keys are consecutive
-- integers starting at 1.
------------------------------------------------------------------------------------
function p.isArray(v)
	if type(v) ~= 'table' then
		return false
	end
	local i = 0
	for _ in pairs(v) do
		i = i + 1
		if v[i] == nil then
			return false
		end
	end
	return true
end
------------------------------------------------------------------------------------
-- isArrayLike
--
-- Returns true if the given value is iterable and all keys are consecutive
-- integers starting at 1.
------------------------------------------------------------------------------------
function p.isArrayLike(v)
	if not pcall(pairs, v) then
		return false
	end
	local i = 0
	for _ in pairs(v) do
		i = i + 1
		if v[i] == nil then
			return false
		end
	end
	return true
end
------------------------------------------------------------------------------------
-- invert
--
-- Transposes the keys and values in an array. For example, {"a", "b", "c"} ->
-- {a = 1, b = 2, c = 3}. Duplicates are not supported (result values refer to
-- the index of the last duplicate) and NaN values are ignored.
------------------------------------------------------------------------------------
function p.invert(arr)
	checkType("invert", 1, arr, "table")
	local isNan = p.isNan
	local map = {}
	for i, v in ipairs(arr) do
		if not isNan(v) then
			map[v] = i
		end
	end
	return map
end
------------------------------------------------------------------------------------
-- listToSet
--
-- Creates a set from the array part of the table. Indexing the set by any of the
-- values of the array returns true. For example, {"a", "b", "c"} ->
-- {a = true, b = true, c = true}. NaN values are ignored as Lua considers them
-- never equal to any value (including other NaNs or even themselves).
------------------------------------------------------------------------------------
function p.listToSet(arr)
	checkType("listToSet", 1, arr, "table")
	local isNan = p.isNan
	local set = {}
	for _, v in ipairs(arr) do
		if not isNan(v) then
			set[v] = true
		end
	end
	return set
end
------------------------------------------------------------------------------------
-- deepCopy
--
-- Recursive deep copy function. Preserves identities of subtables.
------------------------------------------------------------------------------------
local function _deepCopy(orig, includeMetatable, already_seen)
	-- Stores copies of tables indexed by the original table.
	already_seen = already_seen or {}
	local copy = already_seen[orig]
	if copy ~= nil then
		return copy
	end
	if type(orig) == 'table' then
		copy = {}
		for orig_key, orig_value in pairs(orig) do
			copy[_deepCopy(orig_key, includeMetatable, already_seen)] = _deepCopy(orig_value, includeMetatable, already_seen)
		end
		already_seen[orig] = copy
		if includeMetatable then
			local mt = getmetatable(orig)
			if mt ~= nil then
				local mt_copy = _deepCopy(mt, includeMetatable, already_seen)
				setmetatable(copy, mt_copy)
				already_seen[mt] = mt_copy
			end
		end
	else -- number, string, boolean, etc
		copy = orig
	end
	return copy
end
function p.deepCopy(orig, noMetatable, already_seen)
	checkType("deepCopy", 3, already_seen, "table", true)
	return _deepCopy(orig, not noMetatable, already_seen)
end
------------------------------------------------------------------------------------
-- sparseConcat
--
-- Concatenates all values in the table that are indexed by a number, in order.
-- sparseConcat{a, nil, c, d}  =>  "acd"
-- sparseConcat{nil, b, c, d}  =>  "bcd"
------------------------------------------------------------------------------------
function p.sparseConcat(t, sep, i, j)
	local arr = {}
	local arr_i = 0
	for _, v in p.sparseIpairs(t) do
		arr_i = arr_i + 1
		arr[arr_i] = v
	end
	return table.concat(arr, sep, i, j)
end
------------------------------------------------------------------------------------
-- length
--
-- Finds the length of an array, or of a quasi-array with keys such as "data1",
-- "data2", etc., using an exponential search algorithm. It is similar to the
-- operator #, but may return a different value when there are gaps in the array
-- portion of the table. Intended to be used on data loaded with mw.loadData. For
-- other tables, use #.
-- Note: #frame.args in frame object always be set to 0, regardless of  the number
-- of unnamed template parameters, so use this function for frame.args.
------------------------------------------------------------------------------------
function p.length(t, prefix)
	-- requiring module inline so that [[Module:Exponential search]] which is
	-- only needed by this one function doesn't get millions of transclusions
	local expSearch = require("Module:Exponential search")
	checkType('length', 1, t, 'table')
	checkType('length', 2, prefix, 'string', true)
	return expSearch(function (i)
		local key
		if prefix then
			key = prefix .. tostring(i)
		else
			key = i
		end
		return t[key] ~= nil
	end) or 0
end
------------------------------------------------------------------------------------
-- inArray
--
-- Returns true if valueToFind is a member of the array, and false otherwise.
------------------------------------------------------------------------------------
function p.inArray(arr, valueToFind)
	checkType("inArray", 1, arr, "table")
	-- if valueToFind is nil, error?
	for _, v in ipairs(arr) do
		if v == valueToFind then
			return true
		end
	end
	return false
end
return p