2025-12-15T15:14:20Z

Marie: 1 revision imported

--[[

This module provides a number of basic mathematical operations.

]]

local yesno, getArgs -- lazily initialized

local p = {} -- Holds functions to be returned from #invoke, and functions to make available to other Lua modules.
local wrap = {} -- Holds wrapper functions that process arguments from #invoke. These act as intemediary between functions meant for #invoke and functions meant for Lua.

--[[
Helper functions used to avoid redundant code.
]]

local function err(msg)
-- Generates wikitext error messages.
return mw.ustring.format('Formatting error: %s', msg)
end

local function unpackNumberArgs(args)
-- Returns an unpacked list of arguments specified with numerical keys.
local ret = {}
for k, v in pairs(args) do
if type(k) == 'number' then
table.insert(ret, v)
end
end
return unpack(ret)
end

local function makeArgArray(...)
-- Makes an array of arguments from a list of arguments that might include nils.
local args = {...} -- Table of arguments. It might contain nils or non-number values, so we can't use ipairs.
local nums = {} -- Stores the numbers of valid numerical arguments.
local ret = {}
for k, v in pairs(args) do
v = p._cleanNumber(v)
if v then
nums[#nums + 1] = k
args[k] = v
end
end
table.sort(nums)
for i, num in ipairs(nums) do
ret[#ret + 1] = args[num]
end
return ret
end

local function fold(func, ...)
-- Use a function on all supplied arguments, and return the result. The function must accept two numbers as parameters,
-- and must return a number as an output. This number is then supplied as input to the next function call.
local vals = makeArgArray(...)
local count = #vals -- The number of valid arguments
if count == 0 then return
-- Exit if we have no valid args, otherwise removing the first arg would cause an error.
nil, 0
end
local ret = table.remove(vals, 1)
for _, val in ipairs(vals) do
ret = func(ret, val)
end
return ret, count
end

--[[
Fold arguments by selectively choosing values (func should return when to choose the current "dominant" value).
]]
local function binary_fold(func, ...)
local value = fold((function(a, b) if func(a, b) then return a else return b end end), ...)
return value
end

--[[
random

Generate a random number

Usage:
{{#invoke: Math | random }}
{{#invoke: Math | random | maximum value }}
{{#invoke: Math | random | minimum value | maximum value }}
]]

function wrap.random(args)
local first = p._cleanNumber(args[1])
local second = p._cleanNumber(args[2])
return p._random(first, second)
end

function p._random(first, second)
math.randomseed(mw.site.stats.edits + mw.site.stats.pages + os.time() + math.floor(os.clock() * 1000000000))
-- math.random will throw an error if given an explicit nil parameter, so we need to use if statements to check the params.
if first and second then
if first <= second then -- math.random doesn't allow the first number to be greater than the second.
return math.random(first, second)
end
elseif first then
return math.random(first)
else
return math.random()
end
end

--[[
order

Determine order of magnitude of a number

Usage:
{{#invoke: Math | order | value }}
]]

function wrap.order(args)
local input_string = (args[1] or args.x or '0');
local input_number = p._cleanNumber(input_string);
if input_number == nil then
return err('order of magnitude input appears non-numeric')
else
return p._order(input_number)
end
end

function p._order(x)
if x == 0 then return 0 end
return math.floor(math.log10(math.abs(x)))
end

--[[
precision

Detemines the precision of a number using the string representation

Usage:
{{ #invoke: Math | precision | value }}
]]

function wrap.precision(args)
local input_string = (args[1] or args.x or '0');
local trap_fraction = args.check_fraction;
local input_number;

if not yesno then
yesno = require('Module:Yesno')
end
if yesno(trap_fraction, true) then -- Returns true for all input except nil, false, "no", "n", "0" and a few others. See [[Module:Yesno]].
local pos = string.find(input_string, '/', 1, true);
if pos ~= nil then
if string.find(input_string, '/', pos + 1, true) == nil then
local denominator = string.sub(input_string, pos+1, -1);
local denom_value = tonumber(denominator);
if denom_value ~= nil then
return math.log10(denom_value);
end
end
end
end

input_number, input_string = p._cleanNumber(input_string);
if input_string == nil then
return err('precision input appears non-numeric')
else
return p._precision(input_string)
end
end

function p._precision(x)
if type(x) == 'number' then
x = tostring(x)
end
x = string.upper(x)

local decimal = x:find('%.')
local exponent_pos = x:find('E')
local result = 0;

if exponent_pos ~= nil then
local exponent = string.sub(x, exponent_pos + 1)
x = string.sub(x, 1, exponent_pos - 1)
result = result - tonumber(exponent)
end

if decimal ~= nil then
result = result + string.len(x) - decimal
return result
end

local pos = string.len(x);
while x:byte(pos) == string.byte('0') do
pos = pos - 1
result = result - 1
if pos <= 0 then
return 0
end
end

return result
end

--[[
max

Finds the maximum argument

Usage:
{{#invoke:Math| max | value1 | value2 | ... }}

Note, any values that do not evaluate to numbers are ignored.
]]

function wrap.max(args)
return p._max(unpackNumberArgs(args))
end

function p._max(...)
local max_value = binary_fold((function(a, b) return a > b end), ...)
if max_value then
return max_value
end
end

--[[
median

Find the median of set of numbers

Usage:
{{#invoke:Math | median | number1 | number2 | ...}}
OR
{{#invoke:Math | median }}
]]

function wrap.median(args)
return p._median(unpackNumberArgs(args))
end

function p._median(...)
local vals = makeArgArray(...)
local count = #vals
table.sort(vals)

if count == 0 then
return 0
end

if p._mod(count, 2) == 0 then
return (vals[count/2] + vals[count/2+1])/2
else
return vals[math.ceil(count/2)]
end
end

--[[
min

Finds the minimum argument

Usage:
{{#invoke:Math| min | value1 | value2 | ... }}
OR
{{#invoke:Math| min }}

When used with no arguments, it takes its input from the parent
frame. Note, any values that do not evaluate to numbers are ignored.
]]

function wrap.min(args)
return p._min(unpackNumberArgs(args))
end

function p._min(...)
local min_value = binary_fold((function(a, b) return a < b end), ...)
if min_value then
return min_value
end
end

--[[
sum

Finds the sum

Usage:
{{#invoke:Math| sum | value1 | value2 | ... }}
OR
{{#invoke:Math| sum }}

Note, any values that do not evaluate to numbers are ignored.
]]

function wrap.sum(args)
return p._sum(unpackNumberArgs(args))
end

function p._sum(...)
local sums, count = fold((function(a, b) return a + b end), ...)
if not sums then
return 0
else
return sums
end
end

--[[
average

Finds the average

Usage:
{{#invoke:Math| average | value1 | value2 | ... }}
OR
{{#invoke:Math| average }}

Note, any values that do not evaluate to numbers are ignored.
]]

function wrap.average(args)
return p._average(unpackNumberArgs(args))
end

function p._average(...)
local sum, count = fold((function(a, b) return a + b end), ...)
if not sum then
return 0
else
return sum / count
end
end

--[[
round

Rounds a number to specified precision

Usage:
{{#invoke:Math | round | value | precision }}

--]]

function wrap.round(args)
local value = p._cleanNumber(args[1] or args.value or 0)
local precision = p._cleanNumber(args[2] or args.precision or 0)
if value == nil or precision == nil then
return err('round input appears non-numeric')
else
return p._round(value, precision)
end
end

function p._round(value, precision)
local rescale = math.pow(10, precision or 0);
return math.floor(value * rescale + 0.5) / rescale;
end

--[[
log10

returns the log (base 10) of a number

Usage:
{{#invoke:Math | log10 | x }}
]]

function wrap.log10(args)
return math.log10(args[1])
end

--[[
mod

Implements the modulo operator

Usage:
{{#invoke:Math | mod | x | y }}

--]]

function wrap.mod(args)
local x = p._cleanNumber(args[1])
local y = p._cleanNumber(args[2])
if not x then
return err('first argument to mod appears non-numeric')
elseif not y then
return err('second argument to mod appears non-numeric')
else
return p._mod(x, y)
end
end

function p._mod(x, y)
local ret = x % y
if not (0 <= ret and ret < y) then
ret = 0
end
return ret
end

--[[
gcd

Calculates the greatest common divisor of multiple numbers

Usage:
{{#invoke:Math | gcd | value 1 | value 2 | value 3 | ... }}
--]]

function wrap.gcd(args)
return p._gcd(unpackNumberArgs(args))
end

function p._gcd(...)
local function findGcd(a, b)
local r = b
local oldr = a
while r ~= 0 do
local quotient = math.floor(oldr / r)
oldr, r = r, oldr - quotient * r
end
if oldr < 0 then
oldr = oldr * -1
end
return oldr
end
local result, count = fold(findGcd, ...)
return result
end

--[[
precision_format

Rounds a number to the specified precision and formats according to rules
originally used for {{template:Rnd}}. Output is a string.

Usage:
{{#invoke: Math | precision_format | number | precision }}
]]

function wrap.precision_format(args)
local value_string = args[1] or 0
local precision = args[2] or 0
return p._precision_format(value_string, precision)
end

function p._precision_format(value_string, precision)
-- For access to Mediawiki built-in formatter.
local lang = mw.getContentLanguage();

local value
value, value_string = p._cleanNumber(value_string)
precision = p._cleanNumber(precision)

-- Check for non-numeric input
if value == nil or precision == nil then
return err('invalid input when rounding')
end

local current_precision = p._precision(value)
local order = p._order(value)

-- Due to round-off effects it is neccesary to limit the returned precision under
-- some circumstances because the terminal digits will be inaccurately reported.
if order + precision >= 14 then
if order + p._precision(value_string) >= 14 then
precision = 13 - order;
end
end

-- If rounding off, truncate extra digits
if precision < current_precision then
value = p._round(value, precision)
current_precision = p._precision(value)
end

local formatted_num = lang:formatNum(math.abs(value))
local sign

-- Use proper unary minus sign rather than ASCII default
if value < 0 then
sign = '−'
else
sign = ''
end

-- Handle cases requiring scientific notation
if string.find(formatted_num, 'E', 1, true) ~= nil or math.abs(order) >= 9 then
value = value * math.pow(10, -order)
current_precision = current_precision + order
precision = precision + order
formatted_num = lang:formatNum(math.abs(value))
else
order = 0;
end
formatted_num = sign .. formatted_num

-- Pad with zeros, if needed
if current_precision < precision then
local padding
if current_precision <= 0 then
if precision > 0 then
local zero_sep = lang:formatNum(1.1)
formatted_num = formatted_num .. zero_sep:sub(2,2)

padding = precision
if padding > 20 then
padding = 20
end

formatted_num = formatted_num .. string.rep('0', padding)
end
else
padding = precision - current_precision
if padding > 20 then
padding = 20
end
formatted_num = formatted_num .. string.rep('0', padding)
end
end

-- Add exponential notation, if necessary.
if order ~= 0 then
-- Use proper unary minus sign rather than ASCII default
if order < 0 then
order = '−' .. lang:formatNum(math.abs(order))
else
order = lang:formatNum(order)
end

formatted_num = formatted_num .. '×10' .. order .. ''
end

return formatted_num
end

--[[
divide

Implements the division operator

Usage:
{{#invoke:Math | divide | x | y | round= | precision= }}

--]]
function wrap.divide(args)
local x = args[1]
local y = args[2]
local round = args.round
local precision = args.precision
if not yesno then
yesno = require('Module:Yesno')
end
return p._divide(x, y, yesno(round), precision)
end

function p._divide(x, y, round, precision)
if y == nil or y == "" then
return err("Empty divisor")
elseif not tonumber(y) then
if type(y) == 'string' and string.sub(y, 1, 1) == '<' then
return y
else
return err("Not a number: " .. y)
end
elseif x == nil or x == "" then
return err("Empty dividend")
elseif not tonumber(x) then
if type(x) == 'string' and string.sub(x, 1, 1) == '<' then
return x
else
return err("Not a number: " .. x)
end
else
local z = x / y
if round then
return p._round(z, 0)
elseif precision then
return p._round(z, precision)
else
return z
end
end
end

--[[
Helper function that interprets the input numerically. If the
input does not appear to be a number, attempts evaluating it as
a parser functions expression.
]]

function p._cleanNumber(number_string, unformat)
if type(number_string) == 'number' then
-- We were passed a number, so we don't need to do any processing.
return number_string, tostring(number_string)
elseif type(number_string) ~= 'string' or not number_string:find('%S') then
-- We were passed a non-string or a blank string, so exit.
return nil, nil;
end

-- Attempt basic conversion
local number = tonumber(number_string)

-- If failed, try unformatting the number_string
if unformat and number == nil then
-- Cannot use mw.language.getContentLanguage():parseFormattedNumber()
-- because, unlike {{formatnum:|R}}, it won't ignore operators (it
-- would return an error on "1,234+1,234" instead of "1234+1234")
number_string = mw.getCurrentFrame():callParserFunction("formatnum", {number_string, "R"})
number = tonumber(number_string)
end

-- If failed, attempt to evaluate input as an expression
if number == nil then
local success, result = pcall(mw.ext.ParserFunctions.expr, number_string)
if success then
number = tonumber(result)
number_string = tostring(number)
else
number = nil
number_string = nil
end
else
number_string = number_string:match("^%s*(.-)%s*$") -- String is valid but may contain padding, clean it.
number_string = number_string:match("^%+(.*)$") or number_string -- Trim any leading + signs.
if number_string:find('^%-?0[xX]') then
-- Number is using 0xnnn notation to indicate base 16; use the number that Lua detected instead.
number_string = tostring(number)
end
end

return number, number_string
end

--[[
Wrapper function that does basic argument processing. This ensures that all functions from #invoke can use either the current
frame or the parent frame, and it also trims whitespace for all arguments and removes blank arguments.
]]

local mt = { __index = function(t, k)
return function(frame)
if not getArgs then
getArgs = require('Module:Arguments').getArgs
end
return wrap[k](getArgs(frame)) -- Argument processing is left to Module:Arguments. Whitespace is trimmed and blank arguments are removed.
end
end }

return setmetatable(p, mt)

Module:Coordinates

2025-12-15T15:14:20Z

Marie: 1 revision imported

--[[
This module is intended to replace the functionality of {{Coord}} and related
templates. It provides several methods, including

{{#invoke:Coordinates | coord }} : General function formatting and displaying
coordinate values.

{{#invoke:Coordinates | dec2dms }} : Simple function for converting decimal
degree values to DMS format.

{{#invoke:Coordinates | dms2dec }} : Simple function for converting DMS format
to decimal degree format.

{{#invoke:Coordinates | link }} : Export the link used to reach the tools

]]

require('strict')

local math_mod = require("Module:Math")
local coordinates = {};
local isSandbox = mw.getCurrentFrame():getTitle():find('sandbox', 1, true);

local current_page = mw.title.getCurrentTitle()
local page_name = mw.uri.encode( current_page.prefixedText, 'WIKI' );
local coord_link = 'https://geohack.toolforge.org/geohack.php?pagename=' .. page_name .. '&params='

--[[ Helper function, replacement for {{coord/display/title}} ]]
local function displaytitle(coords)
return mw.getCurrentFrame():extensionTag{
name = 'indicator',
args = { name = 'coordinates' },
content = '[[Geographic coordinate system|Coordinates]]: ' .. coords .. ''
}
end

--[[ Helper function, used in detecting DMS formatting ]]
local function dmsTest(first, second)
if type(first) ~= 'string' or type(second) ~= 'string' then
return nil
end
local s = (first .. second):upper()
return s:find('^[NS][EW]$') or s:find('^[EW][NS]$')
end

--[[ Wrapper function to grab args, see Module:Arguments for this function's documentation. ]]
local function makeInvokeFunc(funcName)
return function (frame)
local args = require('Module:Arguments').getArgs(frame, {
wrappers = 'Template:Coord'
})
return coordinates[funcName](args, frame)
end
end

--[[ Helper function, handle optional args. ]]
local function optionalArg(arg, supplement)
return arg and arg .. supplement or ''
end

--[[
Formats any error messages generated for display
]]
local function errorPrinter(errors)
local result = ""
for i,v in ipairs(errors) do
result = result .. 'Coordinates: ' .. v[2] .. ' '
end
return result
end

--[[
Determine the required CSS class to display coordinates

Usually geo-nondefault is hidden by CSS, unless a user has overridden this for himself
default is the mode as specificied by the user when calling the {{coord}} template
mode is the display mode (dec or dms) that we will need to determine the css class for
]]
local function displayDefault(default, mode)
if default == "" then
default = "dec"
end

if default == mode then
return "geo-default"
else
return "geo-nondefault"
end
end

--[[
specPrinter

Output formatter. Takes the structure generated by either parseDec
or parseDMS and formats it for inclusion on Wikipedia.
]]
local function specPrinter(args, coordinateSpec)
local uriComponents = coordinateSpec["param"]
if uriComponents == "" then
-- RETURN error, should never be empty or nil
return "ERROR param was empty"
end
if args["name"] then
uriComponents = uriComponents .. "&title=" .. mw.uri.encode(coordinateSpec["name"])
end

local geodmshtml = ''
.. '' .. coordinateSpec["dms-lat"] .. ' '
.. '' ..coordinateSpec["dms-long"] .. ''
.. ''

local lat = tonumber( coordinateSpec["dec-lat"] ) or 0
local geodeclat
if lat < 0 then
-- FIXME this breaks the pre-existing precision
geodeclat = tostring(coordinateSpec["dec-lat"]):sub(2) .. "°S"
else
geodeclat = (coordinateSpec["dec-lat"] or 0) .. "°N"
end

local long = tonumber( coordinateSpec["dec-long"] ) or 0
local geodeclong
if long < 0 then
-- FIXME does not handle unicode minus
geodeclong = tostring(coordinateSpec["dec-long"]):sub(2) .. "°W"
else
geodeclong = (coordinateSpec["dec-long"] or 0) .. "°E"
end

local geodechtml = ''
.. geodeclat .. ' '
.. geodeclong
.. ''

local geonumhtml = ''
.. coordinateSpec["dec-lat"] .. '; '
.. coordinateSpec["dec-long"]
.. ''

local inner = '' .. geodmshtml .. ''
.. ' / '
.. '';

if not args["name"] then
inner = inner .. geodechtml
.. ' / ' .. geonumhtml .. ''
else
inner = inner .. '' .. geodechtml
.. ' / ' .. geonumhtml .. ''
.. ' ('
.. args["name"] .. ')'
end

local stylesheetLink = 'Module:Coordinates' .. ( isSandbox and '/sandbox' or '' ) .. '/styles.css'
return mw.getCurrentFrame():extensionTag{
name = 'templatestyles', args = { src = stylesheetLink }
} .. '[' .. coord_link .. uriComponents ..
' ' .. inner .. ']' .. '[[Category:Pages using gadget WikiMiniAtlas]]'
end

--[[ Helper function, convert decimal to degrees ]]
local function convert_dec2dms_d(coordinate)
local d = math_mod._round( coordinate, 0 ) .. "°"
return d .. ""
end

--[[ Helper function, convert decimal to degrees and minutes ]]
local function convert_dec2dms_dm(coordinate)
coordinate = math_mod._round( coordinate * 60, 0 );
local m = coordinate % 60;
coordinate = math.floor( (coordinate - m) / 60 );
local d = coordinate % 360 .."°"

return d .. string.format( "%02d′", m )
end

--[[ Helper function, convert decimal to degrees, minutes, and seconds ]]
local function convert_dec2dms_dms(coordinate)
coordinate = math_mod._round( coordinate * 60 * 60, 0 );
local s = coordinate % 60
coordinate = math.floor( (coordinate - s) / 60 );
local m = coordinate % 60
coordinate = math.floor( (coordinate - m) / 60 );
local d = coordinate % 360 .."°"

return d .. string.format( "%02d′", m ) .. string.format( "%02d″", s )
end

--[[
Helper function, convert decimal latitude or longitude to
degrees, minutes, and seconds format based on the specified precision.
]]
local function convert_dec2dms(coordinate, firstPostfix, secondPostfix, precision)
local coord = tonumber(coordinate)
local postfix
if coord >= 0 then
postfix = firstPostfix
else
postfix = secondPostfix
end

precision = precision:lower();
if precision == "dms" then
return convert_dec2dms_dms( math.abs( coord ) ) .. postfix;
elseif precision == "dm" then
return convert_dec2dms_dm( math.abs( coord ) ) .. postfix;
elseif precision == "d" then
return convert_dec2dms_d( math.abs( coord ) ) .. postfix;
end
end

--[[
Convert DMS format into a N or E decimal coordinate
]]
local function convert_dms2dec(direction, degrees_str, minutes_str, seconds_str)
local degrees = tonumber(degrees_str)
local minutes = tonumber(minutes_str) or 0
local seconds = tonumber(seconds_str) or 0

local factor = 1
if direction == "S" or direction == "W" then
factor = -1
end

local precision = 0
if seconds_str then
precision = 5 + math.max( math_mod._precision(seconds_str), 0 );
elseif minutes_str and minutes_str ~= '' then
precision = 3 + math.max( math_mod._precision(minutes_str), 0 );
else
precision = math.max( math_mod._precision(degrees_str), 0 );
end

local decimal = factor * (degrees+(minutes+seconds/60)/60)
return string.format( "%." .. precision .. "f", decimal ) -- not tonumber since this whole thing is string based.
end

--[[
Checks input values to for out of range errors.
]]
local function validate( lat_d, lat_m, lat_s, long_d, long_m, long_s, source, strong )
local errors = {};
lat_d = tonumber( lat_d ) or 0;
lat_m = tonumber( lat_m ) or 0;
lat_s = tonumber( lat_s ) or 0;
long_d = tonumber( long_d ) or 0;
long_m = tonumber( long_m ) or 0;
long_s = tonumber( long_s ) or 0;

if strong then
if lat_d < 0 then
table.insert(errors, {source, "latitude degrees < 0 with hemisphere flag"})
end
if long_d < 0 then
table.insert(errors, {source, "longitude degrees < 0 with hemisphere flag"})
end
--[[
#coordinates is inconsistent about whether this is an error. If globe: is
specified, it won't error on this condition, but otherwise it will.

For not simply disable this check.

if long_d > 180 then
table.insert(errors, {source, "longitude degrees > 180 with hemisphere flag"})
end
]]
end

if lat_d > 90 then
table.insert(errors, {source, "latitude degrees > 90"})
end
if lat_d < -90 then
table.insert(errors, {source, "latitude degrees < -90"})
end
if lat_m >= 60 then
table.insert(errors, {source, "latitude minutes >= 60"})
end
if lat_m < 0 then
table.insert(errors, {source, "latitude minutes < 0"})
end
if lat_s >= 60 then
table.insert(errors, {source, "latitude seconds >= 60"})
end
if lat_s < 0 then
table.insert(errors, {source, "latitude seconds < 0"})
end
if long_d >= 360 then
table.insert(errors, {source, "longitude degrees >= 360"})
end
if long_d <= -360 then
table.insert(errors, {source, "longitude degrees <= -360"})
end
if long_m >= 60 then
table.insert(errors, {source, "longitude minutes >= 60"})
end
if long_m < 0 then
table.insert(errors, {source, "longitude minutes < 0"})
end
if long_s >= 60 then
table.insert(errors, {source, "longitude seconds >= 60"})
end
if long_s < 0 then
table.insert(errors, {source, "longitude seconds < 0"})
end

return errors;
end

--[[
parseDec

Transforms decimal format latitude and longitude into the
structure to be used in displaying coordinates
]]
local function parseDec( lat, long, format )
local coordinateSpec = {}
local errors = {}

if not long then
return nil, {{"parseDec", "Missing longitude"}}
elseif not tonumber(long) then
return nil, {{"parseDec", "Longitude could not be parsed as a number: " .. long}}
end

errors = validate( lat, nil, nil, long, nil, nil, 'parseDec', false );
coordinateSpec["dec-lat"] = lat;
coordinateSpec["dec-long"] = long;

local mode = coordinates.determineMode( lat, long );
coordinateSpec["dms-lat"] = convert_dec2dms( lat, "N", "S", mode) -- {{coord/dec2dms|{{{1}}}|N|S|{{coord/prec dec|{{{1}}}|{{{2}}}}}}}
coordinateSpec["dms-long"] = convert_dec2dms( long, "E", "W", mode) -- {{coord/dec2dms|{{{2}}}|E|W|{{coord/prec dec|{{{1}}}|{{{2}}}}}}}

if format then
coordinateSpec.default = format
else
coordinateSpec.default = "dec"
end

return coordinateSpec, errors
end

--[[
parseDMS

Transforms degrees, minutes, seconds format latitude and longitude
into the a structure to be used in displaying coordinates
]]
local function parseDMS( lat_d, lat_m, lat_s, lat_f, long_d, long_m, long_s, long_f, format )
local coordinateSpec, errors, backward = {}, {}

lat_f = lat_f:upper();
long_f = long_f:upper();

-- Check if specified backward
if lat_f == 'E' or lat_f == 'W' then
lat_d, long_d, lat_m, long_m, lat_s, long_s, lat_f, long_f, backward = long_d, lat_d, long_m, lat_m, long_s, lat_s, long_f, lat_f, true;
end

errors = validate( lat_d, lat_m, lat_s, long_d, long_m, long_s, 'parseDMS', true );
if not long_d then
return nil, {{"parseDMS", "Missing longitude" }}
elseif not tonumber(long_d) then
return nil, {{"parseDMS", "Longitude could not be parsed as a number:" .. long_d }}
end

if not lat_m and not lat_s and not long_m and not long_s and #errors == 0 then
if math_mod._precision( lat_d ) > 0 or math_mod._precision( long_d ) > 0 then
if lat_f:upper() == 'S' then
lat_d = '-' .. lat_d;
end
if long_f:upper() == 'W' then
long_d = '-' .. long_d;
end

return parseDec( lat_d, long_d, format );
end
end

coordinateSpec["dms-lat"] = lat_d.."°"..optionalArg(lat_m,"′") .. optionalArg(lat_s,"″") .. lat_f
coordinateSpec["dms-long"] = long_d.."°"..optionalArg(long_m,"′") .. optionalArg(long_s,"″") .. long_f
coordinateSpec["dec-lat"] = convert_dms2dec(lat_f, lat_d, lat_m, lat_s) -- {{coord/dms2dec|{{{4}}}|{{{1}}}|0{{{2}}}|0{{{3}}}}}
coordinateSpec["dec-long"] = convert_dms2dec(long_f, long_d, long_m, long_s) -- {{coord/dms2dec|{{{8}}}|{{{5}}}|0{{{6}}}|0{{{7}}}}}

if format then
coordinateSpec.default = format
else
coordinateSpec.default = "dms"
end

return coordinateSpec, errors, backward
end

--[[
Check the input arguments for coord to determine the kind of data being provided
and then make the necessary processing.
]]
local function formatTest(args)
local result, errors
local backward, primary = false, false

local function getParam(args, lim)
local ret = {}
for i = 1, lim do
ret[i] = args[i] or ''
end
return table.concat(ret, '_')
end

if not args[1] then
-- no lat logic
return errorPrinter( {{"formatTest", "Missing latitude"}} )
elseif not tonumber(args[1]) then
-- bad lat logic
return errorPrinter( {{"formatTest", "Unable to parse latitude as a number:" .. args[1]}} )
elseif not args[4] and not args[5] and not args[6] then
-- dec logic
result, errors = parseDec(args[1], args[2], args.format)
if not result then
return errorPrinter(errors);
end
-- formatting for geohack: geohack expects D_N_D_E notation or D;D notation
-- wikiminiatlas doesn't support D;D notation
-- #coordinates parserfunction doesn't support negative decimals with NSWE
result.param = table.concat({
math.abs(tonumber(args[1])),
((tonumber(args[1]) or 0) < 0) and 'S' or 'N',
math.abs(tonumber(args[2])),
((tonumber(args[2]) or 0) < 0) and 'W' or 'E',
args[3] or ''}, '_')
elseif dmsTest(args[4], args[8]) then
-- dms logic
result, errors, backward = parseDMS(args[1], args[2], args[3], args[4],
args[5], args[6], args[7], args[8], args.format)
if args[10] then
table.insert(errors, {'formatTest', 'Extra unexpected parameters'})
end
if not result then
return errorPrinter(errors)
end
result.param = getParam(args, 9)
elseif dmsTest(args[3], args[6]) then
-- dm logic
result, errors, backward = parseDMS(args[1], args[2], nil, args[3],
args[4], args[5], nil, args[6], args['format'])
if args[8] then
table.insert(errors, {'formatTest', 'Extra unexpected parameters'})
end
if not result then
return errorPrinter(errors)
end
result.param = getParam(args, 7)
elseif dmsTest(args[2], args[4]) then
-- d logic
result, errors, backward = parseDMS(args[1], nil, nil, args[2],
args[3], nil, nil, args[4], args.format)
if args[6] then
table.insert(errors, {'formatTest', 'Extra unexpected parameters'})
end
if not result then
return errorPrinter(errors)
end
result.param = getParam(args, 5)
else
-- Error
return errorPrinter({{"formatTest", "Unknown argument format"}}) .. '[[Category:Pages with malformed coordinate tags]]'
end
result.name = args.name

local extra_param = {'dim', 'globe', 'scale', 'region', 'source', 'type'}
for _, v in ipairs(extra_param) do
if args[v] then
table.insert(errors, {'formatTest', 'Parameter: "' .. v .. '=" should be "' .. v .. ':"' })
end
end

local ret = specPrinter(args, result)
if #errors > 0 then
ret = ret .. ' ' .. errorPrinter(errors) .. '[[Category:Pages with malformed coordinate tags]]'
end
return ret, backward
end

--[[
Generate Wikidata tracking categories.
]]
local function makeWikidataCategories(qid)
local ret
local qid = qid or mw.wikibase.getEntityIdForCurrentPage()
if mw.wikibase and current_page.namespace == 0 then
if qid and mw.wikibase.entityExists(qid) and mw.wikibase.getBestStatements(qid, "P625") and mw.wikibase.getBestStatements(qid, "P625")[1] then
local snaktype = mw.wikibase.getBestStatements(qid, "P625")[1].mainsnak.snaktype
if snaktype == 'value' then
-- coordinates exist both here and on Wikidata, and can be compared.
ret = 'Coordinates on Wikidata'
elseif snaktype == 'somevalue' then
ret = 'Coordinates on Wikidata set to unknown value'
elseif snaktype == 'novalue' then
ret = 'Coordinates on Wikidata set to no value'
end
else
-- We have to either import the coordinates to Wikidata or remove them here.
ret = 'Coordinates not on Wikidata'
end
end
if ret then
return string.format('[[Category:%s]]', ret)
else
return ''
end
end

--[[
link

Simple function to export the coordinates link for other uses.

Usage:
{{#invoke:Coordinates | link }}

]]
function coordinates.link(frame)
return coord_link;
end

--[[
dec2dms

Wrapper to allow templates to call dec2dms directly.

Usage:
{{#invoke:Coordinates | dec2dms | decimal_coordinate | positive_suffix |
negative_suffix | precision }}

decimal_coordinate is converted to DMS format. If positive, the positive_suffix
is appended (typical N or E), if negative, the negative suffix is appended. The
specified precision is one of 'D', 'DM', or 'DMS' to specify the level of detail
to use.
]]
coordinates.dec2dms = makeInvokeFunc('_dec2dms')
function coordinates._dec2dms(args)
local coordinate = args[1]
local firstPostfix = args[2] or ''
local secondPostfix = args[3] or ''
local precision = args[4] or ''

return convert_dec2dms(coordinate, firstPostfix, secondPostfix, precision)
end

--[[
Helper function to determine whether to use D, DM, or DMS
format depending on the precision of the decimal input.
]]
function coordinates.determineMode( value1, value2 )
local precision = math.max( math_mod._precision( value1 ), math_mod._precision( value2 ) );
if precision <= 0 then
return 'd'
elseif precision <= 2 then
return 'dm';
else
return 'dms';
end
end

--[[
dms2dec

Wrapper to allow templates to call dms2dec directly.

Usage:
{{#invoke:Coordinates | dms2dec | direction_flag | degrees |
minutes | seconds }}

Converts DMS values specified as degrees, minutes, seconds too decimal format.
direction_flag is one of N, S, E, W, and determines whether the output is
positive (i.e. N and E) or negative (i.e. S and W).
]]
coordinates.dms2dec = makeInvokeFunc('_dms2dec')
function coordinates._dms2dec(args)
local direction = args[1]
local degrees = args[2]
local minutes = args[3]
local seconds = args[4]

return convert_dms2dec(direction, degrees, minutes, seconds)
end

--[[
coord

Main entry point for Lua function to replace {{coord}}

Usage:
{{#invoke:Coordinates | coord }}
{{#invoke:Coordinates | coord | lat | long }}
{{#invoke:Coordinates | coord | lat | lat_flag | long | long_flag }}
...

Refer to {{coord}} documentation page for many additional parameters and
configuration options.

Note: This function provides the visual display elements of {{coord}}. In
order to load coordinates into the database, the {{#coordinates:}} parser
function must also be called, this is done automatically in the Lua
version of {{coord}}.
]]
coordinates.coord = makeInvokeFunc('_coord')
function coordinates._coord(args)
if not tonumber(args[1]) and not args[2] then
args[3] = args[1]; args[1] = nil
local entity = mw.wikibase.getEntityObject(args.qid)
if entity
and entity.claims
and entity.claims.P625
and entity.claims.P625[1].mainsnak.snaktype == 'value'
then
local precision = entity.claims.P625[1].mainsnak.datavalue.value.precision
args[1] = entity.claims.P625[1].mainsnak.datavalue.value.latitude
args[2] = entity.claims.P625[1].mainsnak.datavalue.value.longitude
if precision then
precision = -math_mod._round(math.log(precision)/math.log(10),0)
args[1] = math_mod._round(args[1],precision)
args[2] = math_mod._round(args[2],precision)
end
end
end

local contents, backward = formatTest(args)
local Notes = args.notes or ''
local Display = args.display and args.display:lower() or 'inline'

-- it and ti are short for inline,title and title,inline
local function isInline(s)
-- Finds whether coordinates are displayed inline.
return s:find('inline') ~= nil or s == 'i' or s == 'it' or s == 'ti'
end
local function isInTitle(s)
-- Finds whether coordinates are displayed in the title.
return s:find('title') ~= nil or s == 't' or s == 'it' or s == 'ti'
end

local function coord_wrapper(in_args)
-- Calls the parser function {{#coordinates:}}.
return mw.getCurrentFrame():callParserFunction('#coordinates', in_args) or ''
end

local text = ''
if isInline(Display) then
text = text .. '' .. contents .. Notes .. ''
end
if isInTitle(Display) then
-- Add to output since indicator content is invisible to Lua later on
if not isInline(Display) then
text = text .. '' .. contents .. Notes .. ''
end
text = text .. displaytitle(contents .. Notes) .. makeWikidataCategories(args.qid)
end
if not args.nosave then
local page_title, count = mw.title.getCurrentTitle(), 1
if backward then
local tmp = {}
while not string.find((args[count-1] or ''), '[EW]') do tmp[count] = (args[count] or ''); count = count+1 end
tmp.count = count; count = 2*(count-1)
while count >= tmp.count do table.insert(tmp, 1, (args[count] or '')); count = count-1 end
for i, v in ipairs(tmp) do args[i] = v end
else
while count <= 9 do args[count] = (args[count] or ''); count = count+1 end
end
if isInTitle(Display) and not page_title.isTalkPage and page_title.subpageText ~= 'doc' and page_title.subpageText ~= 'testcases' then args[10] = 'primary' end
args.notes, args.format, args.display = nil
text = text .. coord_wrapper(args)
end
return text
end

--[[
coord2text

Extracts a single value from a transclusion of {{Coord}}.
IF THE GEOHACK LINK SYNTAX CHANGES THIS FUNCTION MUST BE MODIFIED.

Usage:

{{#invoke:Coordinates | coord2text | {{Coord}} | parameter }}

Valid values for the second parameter are: lat (signed integer), long (signed integer), type, scale, dim, region, globe, source

]]
function coordinates._coord2text(coord,type)
if coord == '' or type == '' or not type then return nil end
type = mw.text.trim(type)
if type == 'lat' or type == 'long' then
local result, negative = mw.text.split((mw.ustring.match(coord,'[%.%d]+°[NS] [%.%d]+°[EW]') or ''), ' ')
if type == 'lat' then
result, negative = result[1], 'S'
else
result, negative = result[2], 'W'
end
result = mw.text.split(result, '°')
if result[2] == negative then result[1] = '-'..result[1] end
return result[1]
else
return mw.ustring.match(coord, 'params=.-_' .. type .. ':(.-)[ _]')
end
end

function coordinates.coord2text(frame)
return coordinates._coord2text(frame.args[1],frame.args[2])
end

--[[
coordinsert

Injects some text into the Geohack link of a transclusion of {{Coord}} (if that text isn't already in the transclusion). Outputs the modified transclusion of {{Coord}}.
IF THE GEOHACK LINK SYNTAX CHANGES THIS FUNCTION MUST BE MODIFIED.

Usage:

{{#invoke:Coordinates | coordinsert | {{Coord}} | parameter:value | parameter:value | … }}

Do not make Geohack unhappy by inserting something which isn't mentioned in the {{Coord}} documentation.

]]
function coordinates.coordinsert(frame)
-- for the 2nd or later integer parameter (the first is the coord template, as above)
for i, v in ipairs(frame.args) do
if i ~= 1 then
-- if we cannot find in the coord_template the i_th coordinsert parameter e.g. region
if not mw.ustring.find(frame.args[1], (mw.ustring.match(frame.args[i], '^(.-:)') or '')) then
-- find from the params= up to the first possibly-present underscore
-- and append the i_th coordinsert parameter and a space
-- IDK why we're adding a space but it does seem somewhat convenient
frame.args[1] = mw.ustring.gsub(frame.args[1], '(params=.-)_? ', '%1_'..frame.args[i]..' ')
end
end
end
if frame.args.name then
-- if we can't find the vcard class
if not mw.ustring.find(frame.args[1], '') then
-- take something that looks like a coord template and add the vcard span with class and fn org class
local namestr = frame.args.name
frame.args[1] = mw.ustring.gsub(
frame.args[1],
'()(<span[^<>]*>[^<>]*<span[^<>]*>[^<>]*<span[^<>]*>[^<>]*)()',
'%1%2 (' .. namestr .. ')%3'
)
-- then find anything from coordinates parameters to the 'end' and attach the title parameter
frame.args[1] = mw.ustring.gsub(
frame.args[1],
'(&params=[^&"<>%[%] ]*) ',
'%1&title=' .. mw.uri.encode(namestr) .. ' '
)
end
end

-- replace the existing indicator with a new indicator using the modified content
frame.args[1] = mw.ustring.gsub(
frame.args[1],
'((.+))\127[^\127]*UNIQ%-%-indicator%-%x+%-%-?QINU[^\127]*\127',
function (inline, coord) return inline .. displaytitle(coord) end
)

return frame.args[1]
end

return coordinates