Module:TableTools: Difference between revisions

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(Update from sandbox per request)
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--[[
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
--                               TableTools                                       --
--                                   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 --
-- not be called directly from #invoke.                                           --
-- be called directly from #invoke.                                               --
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
--]]


local libraryUtil = require('libraryUtil')
local libraryUtil = require('libraryUtil')
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local checkTypeMulti = libraryUtil.checkTypeMulti
local checkTypeMulti = libraryUtil.checkTypeMulti


--[[
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
-- isPositiveInteger
-- isPositiveInteger
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-- hash part of a table.
-- hash part of a table.
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
--]]
function p.isPositiveInteger(v)
function p.isPositiveInteger(v)
if type(v) == 'number' and v >= 1 and floor(v) == v and v < infinity then
return type(v) == 'number' and v >= 1 and floor(v) == v and v < infinity
return true
else
return false
end
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
-- if not. Although it doesn't operate on tables, it is included here as it is
-- not. Although it doesn't operate on tables, it is included here as it is useful
-- useful for determining whether a value can be a valid table key. Lua will
-- for determining whether a value can be a valid table key. Lua will generate an
-- generate an error if a NaN is used as a table key.
-- error if a NaN is used as a table key.
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
--]]
function p.isNan(v)
function p.isNan(v)
if type(v) == 'number' and tostring(v) == '-nan' then
return type(v) == 'number' and v ~= v
return true
else
return false
end
end
end


--[[
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
-- shallowClone
-- shallowClone
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-- 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
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end
end


--[[
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
-- removeDuplicates
-- removeDuplicates
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-- removed, but otherwise the array order is unchanged.
-- removed, but otherwise the array order is unchanged.
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
--]]
function p.removeDuplicates(arr)
function p.removeDuplicates(t)
checkType('removeDuplicates', 1, arr, 'table')
checkType('removeDuplicates', 1, t, 'table')
local isNan = p.isNan
local isNan = p.isNan
local ret, exists = {}, {}
local ret, exists = {}, {}
for i, v in ipairs(t) do
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.
ret[#ret + 1] = v
ret[#ret + 1] = v
else
elseif not exists[v] then
if not exists[v] then
ret[#ret + 1] = v
ret[#ret + 1] = v
exists[v] = true
exists[v] = true
end
end
end
end
end
return ret
return ret
end
end


--[[
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
-- numKeys
-- numKeys
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-- 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, v in pairs(t) do
for k in pairs(t) do
if isPositiveInteger(k) then
if isPositiveInteger(k) then
nums[#nums + 1] = k
nums[#nums + 1] = k
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end
end


--[[
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
-- affixNums
-- affixNums
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-- 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
-- return {1, 3, 6}.
-- {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')
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local function cleanPattern(s)
local function cleanPattern(s)
-- Cleans a pattern so that the magic characters ()%.[]*+-?^$ are interpreted literally.
-- Cleans a pattern so that the magic characters ()%.[]*+-?^$ are interpreted literally.
s = s:gsub('([%(%)%%%.%[%]%*%+%-%?%^%$])', '%%%1')
return s:gsub('([%(%)%%%.%[%]%*%+%-%?%^%$])', '%%%1')
return s
end
end


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local nums = {}
local nums = {}
for k, v in pairs(t) do
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
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end
end


--[[
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
-- numData
-- numData
--
--
-- Given a table with keys like ("foo1", "bar1", "foo2", "baz2"), returns a table
-- 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
-- The compress option compresses the table so that it can be iterated over with
-- 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')
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end
end


--[[
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
-- compressSparseArray
-- compressSparseArray
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-- ipairs.
-- ipairs.
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
--]]
function p.compressSparseArray(t)
function p.compressSparseArray(t)
checkType('compressSparseArray', 1, t, 'table')
checkType('compressSparseArray', 1, t, 'table')
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end
end


--[[
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
-- sparseIpairs
-- sparseIpairs
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-- handle nil values.
-- handle nil values.
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
--]]
function p.sparseIpairs(t)
function p.sparseIpairs(t)
checkType('sparseIpairs', 1, t, 'table')
checkType('sparseIpairs', 1, t, 'table')
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end
end


--[[
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
-- size
-- size
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-- 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 k in pairs(t) do
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)
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if type1 ~= type2 then
if type1 ~= type2 then
return type1 < type2
return type1 < type2
else -- This will fail with table, boolean, function.
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 a list of the keys in a table, sorted using either a default
--
comparison function or a custom keySort function.
-- 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 list = {}
local arr = {}
local index = 1
local index = 1
for key, value in pairs(t) do
for k in pairs(t) do
list[index] = key
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(list, keySort)
end
end
 
return list
return arr
end
end


--[[
------------------------------------------------------------------------------------
Iterates through a table, with the keys sorted using the keysToList function.
-- sortedPairs
If there are only numerical keys, sparseIpairs is probably more efficient.
--
]]
-- 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 list = p.keysToList(t, keySort, true)
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 = list[i]
local key = arr[i]
if key ~= nil then
if key ~= nil then
return key, t[key]
return key, t[key]
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end
end


--[[
------------------------------------------------------------------------------------
Returns true if all keys in the table are consecutive integers starting at 1.
-- isArray
--]]
--
function p.isArray(t)
-- Returns true if the given value is a table and all keys are consecutive
checkType("isArray", 1, t, "table")
-- 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
local i = 0
for k, v in pairs(t) do
for _ in pairs(v) do
i = i + 1
i = i + 1
if t[i] == nil then
if v[i] == nil then
return false
return false
end
end
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end
end


-- { "a", "b", "c" } -> { a = 1, b = 2, c = 3 }
------------------------------------------------------------------------------------
function p.invert(array)
-- invert
checkType("invert", 1, array, "table")
--
-- 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(array) do
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


--[[
------------------------------------------------------------------------------------
{ "a", "b", "c" } -> { ["a"] = true, ["b"] = true, ["c"] = true }
-- listToSet
--]]
--
function p.listToSet(t)
-- Creates a set from the array part of the table. Indexing the set by any of the
checkType("listToSet", 1, t, "table")
-- 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 _, item in ipairs(t) do
for _, v in ipairs(arr) do
set[item] = true
if not isNan(v) then
set[v] = true
end
end
end
 
return set
return set
end
end


--[[
------------------------------------------------------------------------------------
Recursive deep copy function.
-- deepCopy
Preserves identities of subtables.
--
-- 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.
if type(orig) ~= "table" then
already_seen = already_seen or {}
return orig
end
-- already_seen stores copies of tables indexed by the original table.
local copy = already_seen[orig]
local copy = already_seen[orig]
if copy ~= nil then
if copy ~= nil then
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end
end
if type(orig) == 'table' then
copy = {}
copy = {}
already_seen[orig] = copy -- memoize before any recursion, to avoid infinite loops
for orig_key, orig_value in pairs(orig) do
copy[deepcopy(orig_key, includeMetatable, already_seen)] = deepcopy(orig_value, includeMetatable, already_seen)
for orig_key, orig_value in pairs(orig) do
end
copy[_deepCopy(orig_key, includeMetatable, already_seen)] = _deepCopy(orig_value, includeMetatable, already_seen)
already_seen[orig] = copy
end
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 = deepcopy(mt, includeMetatable, already_seen)
setmetatable(copy, _deepCopy(mt, true, already_seen))
setmetatable(copy, mt_copy)
already_seen[mt] = mt_copy
end
end
end
else -- number, string, boolean, etc
copy = orig
end
end
return copy
return copy
end
end
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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 or {})
return _deepCopy(orig, not noMetatable, already_seen)
end
end


--[[
------------------------------------------------------------------------------------
Concatenates all values in the table that are indexed by a number, in order.
-- sparseConcat
sparseConcat{ a, nil, c, d }  =>  "acd"
--
sparseConcat{ nil, b, c, d }  =>  "bcd"
-- 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 list = {}
local arr = {}
 
local list_i = 0
local arr_i = 0
for _, v in p.sparseIpairs(t) do
for _, v in p.sparseIpairs(t) do
list_i = list_i + 1
arr_i = arr_i + 1
list[list_i] = v
arr[arr_i] = v
end
end
 
return table.concat(list, sep, i, j)
return table.concat(arr, sep, i, j)
end
end


--[[
------------------------------------------------------------------------------------
-- This returns the length of a table, or the first integer key n counting from
-- length
-- 1 such that t[n + 1] is nil. It is similar to the operator #, but may return
--
-- a different value when there are gaps in the array portion of the table.
-- Finds the length of an array, or of a quasi-array with keys such as "data1",
-- Intended to be used on data loaded with mw.loadData. For other tables, use #.
-- "data2", etc., using an exponential search algorithm. It is similar to the
-- Note: #frame.args in frame object always be set to 0, regardless of  
-- operator #, but may return a different value when there are gaps in the array
-- the number of unnamed template parameters, so use this function for
-- portion of the table. Intended to be used on data loaded with mw.loadData. For
-- frame.args.
-- other tables, use #.
--]]
-- Note: #frame.args in frame object always be set to 0, regardless of the number
function p.length(t)
-- of unnamed template parameters, so use this function for frame.args.
local i = 1
------------------------------------------------------------------------------------
while t[i] ~= nil do
function p.length(t, prefix)
i = i + 1
-- requiring module inline so that [[Module:Exponential search]] which is
end
-- only needed by this one function doesn't get millions of transclusions
return i - 1
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
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
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end
end
end
end
return false
return false
end
------------------------------------------------------------------------------------
-- merge
--
-- Given the arrays, returns an array containing the elements of each input array
-- in sequence.
------------------------------------------------------------------------------------
function p.merge(...)
local arrays = {...}
local ret = {}
for i, arr in ipairs(arrays) do
checkType('merge', i, arr, 'table')
for _, v in ipairs(arr) do
ret[#ret + 1] = v
end
end
return ret
end
------------------------------------------------------------------------------------
-- extend
--
-- Extends the first array in place by appending all elements from the second
-- array.
------------------------------------------------------------------------------------
function p.extend(arr1, arr2)
checkType('extend', 1, arr1, 'table')
checkType('extend', 2, arr2, 'table')
for _, v in ipairs(arr2) do
arr1[#arr1 + 1] = v
end
end
end


return p
return p

Revision as of 17:49, 26 April 2024

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
		elseif not exists[v] then
			ret[#ret + 1] = v
			exists[v] = true
		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)
	if type(orig) ~= "table" then
		return orig
	end
	
	-- already_seen stores copies of tables indexed by the original table.
	local copy = already_seen[orig]
	if copy ~= nil then
		return copy
	end
	
	copy = {}
	already_seen[orig] = copy -- memoize before any recursion, to avoid infinite loops
	
	for orig_key, orig_value in pairs(orig) do
		copy[_deepCopy(orig_key, includeMetatable, already_seen)] = _deepCopy(orig_value, includeMetatable, already_seen)
	end
	
	if includeMetatable then
		local mt = getmetatable(orig)
		if mt ~= nil then
			setmetatable(copy, _deepCopy(mt, true, already_seen))
		end
	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 or {})
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

------------------------------------------------------------------------------------
-- merge
--
-- Given the arrays, returns an array containing the elements of each input array
-- in sequence.
------------------------------------------------------------------------------------
function p.merge(...)
	local arrays = {...}
	local ret = {}
	for i, arr in ipairs(arrays) do
		checkType('merge', i, arr, 'table')
		for _, v in ipairs(arr) do
			ret[#ret + 1] = v
		end
	end
	return ret
end

------------------------------------------------------------------------------------
-- extend
--
-- Extends the first array in place by appending all elements from the second
-- array.
------------------------------------------------------------------------------------
function p.extend(arr1, arr2)
	checkType('extend', 1, arr1, 'table')
	checkType('extend', 2, arr2, 'table')

	for _, v in ipairs(arr2) do
		arr1[#arr1 + 1] = v
	end
end

return p