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Modulo:Coordinates/provejo2

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local math_mod = require( "Module:Math" )
local p = {}
 
local i18n = {
	N = ' N',
	Nlong = ' Nordo',
	W = ' U',
	Wlong = ' Okcidento',
	E = ' O',
	Elong = ' Oriento',
	S = ' S',
	Slong = ' Sudo',
	degrees = '° ',
	minutes = '\′ ',
	seconds = '″ ',
	geohackurl = 'http://tools.wmflabs.org/geohack/geohack.php?language=eo',
	tooltip = 'Mapoj, elĉielaj bildoj kaj aliaj datumoj por ĉi tiu loko',
	errorcat = 'Paĝoj kun misformitaj etikedoj por koordinatoj',
	sameaswikidata = 'Paĝoj kun koordinatoj samaj sur Vikidatumoj',
	notaswikidata = 'Paĝoj kun koordinatoj malsamaj sur Vikidatumoj',
	nowikidata = 'Paĝoj sen koordinatoj per Vikidatumoj',
	throughwikidata = 'Paĝoj geolokigitaj per Vikidatumoj'
}
 
local globedata = 	{
	--[[ notes:
		radius in kilometers (especially imprecise for non spheric bodies)
		defaultdisplay is currently disabled, activate it ?
	]]-- 
	ariel = {radius = 580, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	callisto =  {radius = 2410, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	ceres =  {radius = 470, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	deimos =  {radius = 7, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	dione =  {radius = 560, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	enceladus =  {radius = 255, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	ganymede =  {radius = 1631, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	earth = {radius = 6371, defaultdisplay = 'dms', trackingcat = 'Article géolocalisé sur Terre'},
	europa =  {radius = 1561, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	hyperion =  {radius = 140, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	iapetus =  {radius = 725, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	['io'] =  {radius = 1322, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	jupiter =  {radius = 68911, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	mars =  {radius = 3389.5, defaultdisplay = 'dec east', trackingcat =  'Article géolocalisé sur Mars' },
	mercury =  {radius = 2439.7, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	mimas =  {radius = 197, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	miranda =  {radius = 335, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	moon =  {radius = 1736, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé sur la Lune'},
	neptune =  {radius = 24553, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	oberon =  {radius = 761, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	phoebe =  {radius = 110, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	phobos =  {radius = 11, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	rhea =  {radius = 765, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	saturn =  {radius = 58232, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	titan =  {radius = 2575.5, defaultdisplay = 'dec west', trackingcat = 'Article géolocalisé extraterrestre'},
	tethys =  {radius = 530, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	titania =  {radius = 394, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	triton = {radius = 1353, defaultdisplay = 'dec west', trackingcat = 'Article géolocalisé extraterrestre'},
	umbriel =  {radius = 584, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	uranus =  {radius = 25266, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	venus =  {radius = 6051.8, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'},
	vesta =  {radius = 260, defaultdisplay = 'dec east', trackingcat = 'Article géolocalisé extraterrestre'}
 
}
 
local wikidatathreshold = 10 -- si la distance entre coordonnées Wikipédia et Wikidata dépasse se seuil (en kilomètes), une catégorie de maintenance est ajoutée
 
local function makecat(cat, sortkey)
	return '[[Category:' .. cat .. '|' .. (sortkey or '*') .. ']]'
end
 
----------------------------------------
--Error handling
	--[[ Notes:
	when errors occure a new error message is concatenated to errorstring
	an error message contains an error category with a sortkey
	For major errors, it can also display an error message (the error message will the usually be returned and the function terminated)
	More minor errors do only add a category, so that readers are not bothered with error texts
	sortkeys:
		* A: invalid latitude, longitude or direction
		* B: invalid globe
		* C: something wrong with other parameters
		* D: more than one primary coord
	]]--
 
errorstring = ''
 
local function makeerror(args)
	local errormessage = ''
	if args.message then 
		errormessage = '<strong class="error">Koordinatoj: ' .. args.message .. '</strong>' 
	end
	local errorcat = ''
	if mw.title.getCurrentTitle().namespace == 0 then 
		errorcat = makecat(i18n.errorcat, args.sortkey)
	end
	errorstring = errormessage .. errorcat -- reinitializes the string to avoid absurdly long messages
	return nil
end
 
local function showerrors()
	return errorstring
end
 
 
 
-- Distance computation
function p._distance(a, b, globe) -- calcule la [[distance orthodromique]] en kilomètres entre deŭ points du globe
 
	globe = string.lower(globe or 'earth')
 
	-- check arguments and converts degreees to radians
	local latA, latB, longA, longB = a.latitude, b.latitude, a.longitude, b.longitude
	if (not latA) or (not latB) or (not longA) or (not longB) then return
		error('koordinatoj mankas, ne povas komputi distancon')
	end
	if type(latA) ~= 'number' or type(latB) ~= 'number' or type(longA) ~= 'number' or type(longB) ~= 'number' then
		error('koordinatoj ne estas numeraj, ne povas komputi distancon')
	end
		if not globe or not globedata[globe] then
		return error('globe: ' .. globe .. 'ne estas subtenata')
	end
 
	-- calcul de la distance angulaire en radians
	local convratio = math.pi / 180 -- convertit en radians
	latA, latB, longA, longB = convratio * latA, convratio * latB, convratio * longA, convratio * longB
	local cosangle = math.sin(latA) * math.sin(latB) + math.cos(latA) * math.cos(latB) * math.cos(longB - longA)
	if cosangle >= 1 then -- may be above one because of rounding errors
		return 0
	end
	local angle = math.acos(cosangle)
	-- calcul de la distance en km
	local radius = globedata[globe].radius
	return radius * angle
end
 
function p.distance(frame)
	local args = frame.args
	return p._distance(
		{latitude = tonumber(args.latitude1), longitude = tonumber(args.longitude1)}, 
		{latitude = tonumber(args.latitude2), longitude = tonumber(args.longitude2)},
		args.globe)
end
 
 
 
--HTML builder for a geohack link
local function buildHTML(decLat, decLong, dmsLat, dmsLong, globe, displayformat, displayinline, displaytitle, objectname, extraparams)
    local root, text, url, noprint
	extraparams = extraparams or ''
    -- geohack url and parameters
    local decimalcoords = p.displaydec(decLat, decLong, displayformat)
    local geohacklatitude, geohacklongitude
 
    -- format latitude and longitude for the URL
    if tonumber(decLat) < 0 then
    	geohacklatitude = tostring(-tonumber(decLat)) .. '_S'
    else 
    	geohacklatitude = decLat .. '_N'
	end
	if tonumber(decLong) < 0 then
		geohacklongitude = tostring(-tonumber(decLong)) .. '_W'
    else 
    	geohacklongitude = decLong .. '_E'
	end
	-- prepares the 'paramss=' parameter
	local geohackparams = geohacklatitude .. '_' .. geohacklongitude .. '_' ..extraparams
	-- concatenate parameteres for geohack
	local url = i18n.geohackurl .. 
		"&pagename=" .. mw.uri.encode(mw.title.getCurrentTitle().prefixedText, "WIKI") ..
		"&params=" .. geohackparams ..
		(objectname and ("&title=" .. mw.uri.encode(objectname)) or "")
 
    root = mw.html.create('')
    root
		:tag("span")
			:addClass("plainlinks nourlexpansion")
			:wikitext("[" .. url)
			:tag("span")
            	:addClass(string.sub(displayformat,1,3) == "dec" and "geo-nondefault" or "geo-default") 
                	:tag("span")
					:addClass("geo-dms")
                    :attr("title", i18n.tooltip)
					:tag("span")
						:addClass("latitude")
						:wikitext(p.displaydmsdimension(dmsLat, displayformat))
						:done()
					:wikitext(" ")
					:tag("span")
						:addClass("longitude")
						:wikitext(p.displaydmsdimension(dmsLong, displayformat))
						:done()
					:done()
				:done()
			:tag("span")
				:addClass("geo-multi-punct")
				:wikitext("&#xfeff; / &#xfeff;")
				:done()
			:tag("span")
				:addClass(string.sub(displayformat,1,3) == 'dec' and "geo-default" or "geo-nondefault")
				:wikitext(objectname and "<span class=\"vcard\">" or "")
				:tag("span")
					:addClass("geo-dec")
					:attr("title", i18n.tooltip)
					:wikitext(decimalcoords)
					:done()
				:wikitext(objectname and ("<span style=\"display:none\"> (<span class=\"fn org\">" ..
						objectname .. "</span>)</span></span>") or "")
				:done()
			:wikitext("]")
			:done()
 
    -- formatta il risultato a seconda di args["display"] (nil, "inline", "title", "inline,title")
    text = tostring(root)
 
    noprint = displayinline and "class=\"noprint\" " or ""
    htmlTitle = "<span style=\"font-size: small;\"><span " .. noprint .. "id=\"coordinates\">" 
 
    return (displayinline and text or "") ..
           (displaytitle and (htmlTitle .. text .. "</span></span>") or "")
end
 
 
-- dms specific funcions
 
function p.displaydmsdimension(valuetable, format) -- formate en latitude ou une longitude dms
	local str = ''
	local direction = valuetable.direction
	local degrees, minutes, seconds = '', '', ''
	local dimension
 
	if format == 'dms long' then
		direction = i18n[direction .. 'long']
	else
		direction = i18n[direction]
	end
	degrees = valuetable.degrees .. i18n.degrees
 
	if valuetable.minutes then
		minutes = valuetable.minutes .. i18n.minutes
		if (valuetable.minutes < 10) then
			minutes = '0' .. minutes
		end
	end
	if valuetable.seconds then
		seconds = valuetable.seconds .. i18n.seconds
		if (valuetable.seconds < 10) then
			seconds = '0' .. seconds
		end
	end
	return degrees .. minutes .. seconds .. direction
end
 
local function validdms(coordtable)
	local direction = coordtable.direction
	local degrees = coordtable.degrees or 0
	local minutes = coordtable.minutes or 0
	local seconds = coordtable.seconds or 0
	local dimension = coordtable.dimension
	if not dimension then
		if direction == 'N' or direction == 'S' then
			dimension = 'latitude'
		elseif direction == 'E' or direction == 'W' then 
			dimension = 'longitude'
		else
			makeerror({message = 'nevalida direkto. estu "N", "S", "E" aŭ "W"', sortkey = 'A'})
			return false
		end
end
 
	if type(degrees) ~= 'number' or type(minutes) ~= 'number' or type(seconds) ~= 'number' then
		makeerror({message = 'nevalida formato', sortkey = 'A'})
		return false
	end
 
	if dimension == 'latitude' and direction ~= 'N' and direction ~= 'S' then
		makeerror({message = 'ne povis trovi latitudan direkton (estu N aŭ S)', sortkey = 'A'})
		return false
	end
	if dimension == 'longitude' and direction ~= 'W' and direction ~= 'E' then
		makeerror({message = 'ne povis trovi longitudan direkton (estu W aŭ E) ', sortkey = 'A'})
		return false
	end
 
	if dimension == 'latitude' and degrees > 90 then
		makeerror({message = 'latitudo > 90', sortkey = 'A'})
		return false
	end
 
	if dimension == 'longitude' and degrees > 360 then
		makeerror({message = 'longitudo > 360', sortkey = 'A'})
		return false
	end
 
	if degrees < 0 or minutes < 0 or seconds < 0 then
		makeerror({message = 'gms-koordinatoj devas esti pozitivaj', sortkey = 'A'})
		return false
	end
 
	if minutes > 60 or seconds > 60 then
		makeerror({message = 'minutoj aŭ sekundoj > 60', sortkey = 'A'})
		return false
	end	
	if (math.floor(degrees) ~= degrees and minutes ~= 0) or (math.floor(minutes) ~= minutes and seconds ~= 0) then
		makeerror({message = 'gradoj kaj minutoj devas esti entjeroj', sortkey = 'A'})
		return false
	end
	return true
end
 
local function builddmsdimension(degrees, minutes, seconds, direction)
	-- no error checking, done in function validdms
	local dimensionobject = {}
 
 
	-- direction and dimension (= latitude or longitude)
	dimensionobject.direction = direction
	if direction == 'N' or direction == 'S' then
		dimensionobject.dimension = 'latitude'
	else
		dimensionobject.dimension = 'longitude'
	end
 
	-- degrees, minutes, seconds
	dimensionobject.degrees = tonumber(degrees)
	dimensionobject.minutes = tonumber(minutes)
	dimensionobject.seconds = tonumber(seconds)
	if degrees and not dimensionobject.degrees then dimensionobject.degrees = 'error' end
	if minutes and not dimensionobject.minutes then dimensionobject.minutes = 'error' end
	if seconds and not dimensionobject.seconds then dimensionobject.seconds = 'error' end
	return dimensionobject
end
 
local function parsedmsstring(str) -- prend une séquence et donne des noms aŭ paramètres 
	-- output table: {latitude=, longitude = , direction =  }
	if not str then
		return nil
	end
	if not tonumber(str) and not string.find(str, '/') then
		makeerror({message ='nevalida koordinata formato', sortkey= 'A'})
		return nil
	end
	args = mw.text.split(str, '/', true)
	if #args > 4 then
		makeerror({message = "tro da parametroj por koordinatoj", sortkey= 'A' })
	end	
	local direction = mw.text.trim(args[#args])
	table.remove(args)
	local degrees, minutes, seconds = args[1], args[2], args[3]
	local dimensionobject = builddmsdimension(degrees, minutes, seconds, direction)
	if validdms(dimensionobject) then
		return dimensionobject
	else
		return nil
	end
end
 
--- decimal specific functions
function p.displaydec(latitude, longitude, format)
	if format == 'dec west' then
		local latsymbol = i18n.N
		longitude = - longitude
		if latitude < 0 then latsymbol = i18n.S end
		if longitude < 0 then 
			longitude = 360 + longitude
		end
	return latitude .. i18n.degrees .. latsymbol .. ', ' .. longitude ..  i18n.degrees .. i18n.W
 
	elseif format == 'dec east' then
		local latsymbol = i18n.N
		if latitude < 0 then latsymbol = i18n.S end
		if longitude < 0 then 
			longitude = 360 + longitude
		end
		return latitude .. i18n.degrees .. latsymbol .. ', ' .. longitude  ..  i18n.degrees .. i18n.E
 
	else 
		return latitude .. ', ' .. longitude 
	end
end
 
 
local function parsedec(dec, coordtype) -- coordtype = latitude or longitude
	dec = mw.text.trim(dec)
	if coordtype ~= 'latitude' and coordtype ~= 'longitude' then
		makeerror({'nevalida koordinata tipo', sortkey = "A"})
		return nil
	end
	if not dec then
		return nil
	end
	local numdec = tonumber(dec) -- numeric value, kept separated as it looses significant zeros
	if not numdec then -- tries the decimal + direction format
		direction = mw.ustring.sub(dec, mw.ustring.len(dec), mw.ustring.len(dec))
		dec = mw.ustring.sub(dec, 1, mw.ustring.len(dec)-2) -- removes the /N at the end
		if not dec or not tonumber(dec) then
			return nil
		end
		if direction == 'N' or direction == 'E' then
			return dec
		elseif direction == 'W' or direction == 'S' then
			return '-' .. dec
		else
			makeerror({message = 'ne povis trovi longitudan direkton (estu W aŭ E) ', sortkey = 'A'})
			return nil
		end
	end
 
	if coordtype == 'latitude' and math.abs(numdec) > 90 then
		makeerror({message = 'latitudo > 90' , sortkey = 'A'})
		return nil
	end
	if coordtype == 'longitude' and math.abs(numdec) > 360 then
		makeerror({message = 'longitudo > 360' , sortkey = 'A'})
		return nil
	end
	return dec
end
 
-- dms/dec conversion functions
local function convertprecision(precision) -- converts a decimal precision like "2" into "dm"
	if precision >= 3 then
		return 'dms'
	elseif precision >=1 then
		return 'dm'
	else
		return 'd'
	end
end
 
local function determinedmsprec(decs) -- returns the most precision for a dec2dms conversion, depending on the most precise value in the decs table
	local precision = 0
	for d, val in ipairs(decs) do
		precision = math.max(precision, math_mod._precision(val))
	end
	return convertprecision(precision)
end
 
local function dec2dms_d(dec)
	local degrees = math_mod._round( dec, 0 )
	return degrees
end
 
local function dec2dms_dm(dec)
	dec = math_mod._round( dec * 60, 0 )
	local minutes = dec % 60
	dec = math.floor( (dec - minutes) / 60 )
	local degrees = dec % 360
	return degrees, minutes
end 
 
local function dec2dms_dms(dec)
	dec = math_mod._round( dec * 60 * 60, 0 )
	local seconds = dec % 60
	dec = math.floor( (dec - seconds) / 60 )
	local minutes = dec % 60
	dec = math.floor( (dec - minutes) / 60 )
	local degrees = dec % 360
	return degrees, minutes, seconds
end
 
function p._dec2dms(dec, coordtype, precision) -- type: latitude or longitude
 
	local degrees, minutes, seconds
 
	-- precision
	if not precision or precision == '' then
		precision = determinedmsprec({dec})
	end
	if precision ~= 'd' and precision ~= 'dm' and precision ~= 'dms' then
		return makeerror({sortkey = 'C'})
	end
	local dec = tonumber(dec)
	-- direction 
	if coordtype == 'latitude' then 
		if dec < 0 then
			direction = 'S'
		else 
			direction = 'N'
		end
	elseif coordtype == 'longitude' then
		if dec < 0 then
			direction = 'W'
		else 
			direction = 'E'
		end
	end
 
	-- conversion
	dec = math.abs(dec) -- les coordonnées en dms sont toujours positives
	if precision == 'dms' then 
		degrees, minutes, seconds = dec2dms_dms(dec)
	elseif precision == 'dm' then
		degrees, minutes = dec2dms_dm(dec)
	else
		degrees = dec2dms_d(dec)
	end
	return builddmsdimension(degrees, minutes, seconds, direction)
end
 
function p.dec2dms(frame) -- legacy function somewhat cumbersome syntax
	args = frame.args
	local dec = args[1] 
	local precision = string.lower(args[4] or '')
	local displayformat, coordtype
 
	if args[2] == 'N' or 'Nord' then
		coordtype = 'latitude'
	else 
		coordtype = 'longitude'
	end
	if args[2] == 'Nord' or args[2] == 'Est' or args[3] == 'Ouest' or args[3] == 'Sud' then
		displayformat = 'dms long'
	end
	local coordobject = p._dec2dms(dec, coordtype, precision)
	return p.displaydmsdimension(coordobject, displayformat) .. showerrors()
end
 
 
function p._dms2dec(dmsobject) -- transforme une table degré minute secondes en nombre décimal
	local direction, degrees, minutes, seconds = dmsobject.direction, dmsobject.degrees, dmsobject.minutes, dmsobject.seconds
	local factor = 0
	local precision = 0
	if not minutes then minutes = 0 end
	if not seconds then seconds = 0 end
 
	if direction == "N" or direction == "E" then
		factor = 1
	elseif direction == "W" or direction == "S" then
		factor = -1
	elseif not direction then 
		makeerror({message = 'neniu baza direkto trovita en koordinatoj', sortkey = 'A'})
		return nil
	else
		makeerror({message = 'nevalida direkto', sortkey = 'A'})
		return nil
	end
 
	if dmsobject.seconds then -- vérifie la précision des données initiales
		precision = 5 + math.max( math_mod._precision(tostring(seconds), 0 ) ) -- passage par des strings assez tarabiscoté ?
	elseif dmsobject.minutes then
		precision = 3 + math.max( math_mod._precision(tostring(minutes), 0 ) )
	else
		precision = math.max( math_mod._precision(tostring(degrees), 0 ) )
	end
 
	local decimal = factor * (degrees+(minutes+seconds/60)/60)
	return math_mod._round(decimal, precision)
end
 
function p.dms2dec(frame) -- legacy function, somewhat bizarre syntax
	local args = frame.args
	if tonumber(args[1]) then 
		return args[1] -- coordonnées déjà en décimal
	elseif not args[2] then
		return p._dms2dec(parsedmsstring(args[1])) -- coordonnées sous la fore 23/22/N
	else 
		return p._dms2dec({direction = args[1], degrees = args[2], minutes = args[3], seconds = args[4]})
	end
end
 
-- Wikidata
local function convertwikidataprecision(precision) -- converts a decima like "0.1" into "dm"
	if precision < 0.016 then
		return 'dms'
	elseif precision < 1 then
		return 'dm'
	else
		return 'd'
	end
end
 
local function wikidatacoords(query)
	query = query or {property = 'p625'}
	query.formatting = 'raw'
	local wd = require('Module:Wikidata')
	local claim = wd.getClaims(query)
	if claim and claim[1] then -- redundant but more robust in case of a change in the code of Module:Wikidata
		local coords = wd.formatSnak(claim[1].mainsnak) -- todo: check for special values
		return coords.latitude, coords.longitude, coords.globe or 'earth', convertwikidataprecision(coords.precision or .001)
	end
	return nil
end
 
 
 -- main function for displaying coordinates
function p._coord(args)
 
	-- I declare variable	
	local displayformat = args.format -- string: one of: 'dms', 'dms long', 'dec', 'dec east' and 'dec west'
	local displayplace = string.lower(args.display or 'inline') --string: one of 'inline', 'title' or 'inline,title' 
	local objectname = args.name -- string: name of the title displayed in geohack
	local notes = (' ' and args.notes) or '' -- string: notes to de displayed after coordinates
	local wikidata = args.wikidata -- string: set to "true" if needed
	local wikidataquery = args.wikidataquery -- table: see [[Module:Wikidata]] see function wikidatacoords
	local dmslatitude, dmslongitude -- table (when created)	
	local extraparams = string.lower(args.extraparams or '') -- string (legacy, corresponds to geohackparams)
 	local trackingstring = '' -- tracking cats except error cats (already in errorstring)
 	local rawlat, rawlong = args.latitude, args.longitude
 	if ralwat == '' then rawlat = nil end
 	if rawlong == '' then rawlong = nil end
 	local globe = string.lower(args.globe or '') -- string: see the globedata table for accepted values
	local latitude, longitude, precision, dmslatitude, dmslongitude -- latitude and longitude in decimal / dmslatitude and dmslongitude: tables withdms coords
 
	-- II extract coordinates from Wikitext
	if (rawlat or rawlong) then
		if (not rawlat) or (not rawlong) then -- if latitude is provided so should be longitude
			makeerror({message = 'latitudo aŭ longitudo mankas', sortkey = 'A'})
			return showerrors()
		end
		latitude = parsedec(rawlat, 'latitude')
 
		if latitude then -- if latitude is decimal
			longitude = parsedec(rawlong, 'longitude') -- so should be longitude
			precision = determinedmsprec({latitude, longitude}) -- before conversion from string to number for trailing zeros
			if not latitude or not longitude then
				if errorstring == '' then
					makeerror({message = 'nevalida formato', sortkey = 'A'})
				end
				return showerrors()
			end
			dmslatitude, dmslongitude = p._dec2dms(latitude, 'latitude', precision), p._dec2dms(longitude, 'longitude', precision)
			latitude, longitude = tonumber(latitude), tonumber(longitude)
		else -- if latitude is not decimal try to parse it as a dms string
			dmslatitude, dmslongitude = parsedmsstring(args.latitude), parsedmsstring(args.longitude)
			if not dmslatitude or not dmslongitude then
				return showerrors()
			end
			latitude, longitude = p._dms2dec(dmslatitude), p._dms2dec(dmslongitude)
		end
	end
 
	-- III extract coordinate data from Wikidata and compare them to local data
	local wikidatalatitude, wikidatalongitude, wikidataglobe
	if wikidata == 'true' then
		wikidatalatitude, wikidatalongitude, wikidataglobe, wikidataprecision = wikidatacoords(wikidataquery)
 
		if wikidatalatitude and latitude and longitude then
			local maxdistance = tonumber(args.maxdistance) or wikidatathreshold
			if p._distance({latitude = latitude, longitude= longitude}, {latitude = wikidatalatitude, longitude= wikidatalongitude}, wikidataglobe) <  maxdistance then
				trackingstring = trackingstring .. makecat(i18n.sameaswikidata)
					else
				trackingstring = trackingstring .. makecat(i18n.notaswikidata)
			end
		end
		if wikidatalatitude and not latitude then
			latitude, longitude, globe, precision = wikidatalatitude, wikidatalongitude, wikidataglobe, wikidataprecision
			dmslatitude, dmslongitude = p._dec2dms(latitude, 'latitude', precision), p._dec2dms(longitude, 'longitude', precision)
			trackingstring = trackingstring .. makecat(i18n.throughwikidata)
		end
 
		if latitude and not wikidatalatitude then
			if mw.title.getCurrentTitle().namespace == 0 then
				trackingstring = trackingstring .. makecat(i18n.nowikidata)
			end
		end
	end
 
 
	-- exit if stil no latitude or no longitude
	if not latitude and not longitude then
		return nil -- ne rien ajouter ici pour que l'appel à cette fonction retourne bien nil en l'absence de données
	end
 
	-- IV best guesses for missing parameters
 
	--- globe
	if globe == '' then -- cherche le globe dans l'extraparams destinée à geohack
		local globe2 = string.match(extraparams, 'globe\:%a+')
		if globe2 then globe = string.sub(globe2, 7) end
		if globe == '' then
			globe = 'earth'
		end
	end
	if not globedata[globe] then
		makeerror({message = 'nevalida globe:' .. globe})
		globe = 'earth'
	end
 
	--- diplayformat
	if not displayformat or displayformat == '' then
		displayformat = globedata[globe].defaultdisplay
	end
 
	-- displayinline/displaytitle
    local displayinline =  string.find(displayplace, 'inline') 
    local displaytitle = string.find(displayplace, 'title') 
    if not displayinline and not displaytitle then
    	displayinline = true
    	if displayplace ~= '' then 
    		makeerror({sortkey = 'C'}) --error if display not empty, but not not a major error, continue
    	end
    end
    if displaytitle and mw.title.getCurrentTitle().namespace == 0 then
    	trackingstring = trackingstring .. makecat(globedata[globe].trackingcat)
    end
 
-- V geodata
	local geodata = ''
	if latitude and longitude then
		local latstring, longstring = tostring(latitude), tostring(longitude)
		local primary = ''
 
		local frame = mw.getCurrentFrame()
		local geodataparams = {[1] = latstring, [2] = longstring, [3] = extraparams, ['name'] = objectname}
		if displaytitle then
			geodataparams[4] = 'primary'
		end
		geodata = frame:callParserFunction('#coordinates', geodataparams )
		if string.find(geodata, 'error') then -- the only error that has not been caught yet is primary key
			geodata = ''
		end
    end
-- VI final output
	extraparams = extraparams .. '_globe:' .. globe -- pas de problème si le globe est en double
 
	local mainstring = ''
	if args.formatitle then
		if displaytitle then
			mainstring = mainstring .. buildHTML(latitude, longitude, dmslatitude, dmslongitude, globe, args.formatitle, false, true, objectname,extraparams )
		end
		if displayinline then
			mainstring = mainstring .. buildHTML(latitude, longitude, dmslatitude, dmslongitude, globe, displayformat, true, false, objectname,extraparams )
		end
	else
		mainstring = buildHTML(latitude, longitude, dmslatitude, dmslongitude, globe, displayformat, displayinline, displaytitle, objectname,extraparams )
	end
 
	return mainstring .. notes .. trackingstring .. geodata .. showerrors()
end
 
function p.coord(frame) -- parrses the strange parameters of Template:Coord before sending them to p.coord
	local args = frame.args
	local numericargs = {}
	for i, j in ipairs(args) do
		args[i] = mw.text.trim(j)
		if type(i) == 'number' and args[i] ~= '' then
			table.insert(numericargs, args[i])
		end
	end
	if (#numericargs == 1 and string.find(numericargs[1], '/')) then -- all coords in one string
		numericargs = mw.text.split(numericargs[1], '/')
	end
	if (#numericargs == 2 and string.find(numericargs[1], '/') and not string.find(numericargs[2], '/')) then -- all coords in one string + geohackparams
		args.extraparams = numericargs[2] 
		numericargs = mw.text.split(numericargs[1], '/')
	end
	if #numericargs %2 == 1 and #numericargs ~= 1 then -- if the number of args is odd, the last one is geohackparams
		args.extraparams = numericargs[#numericargs]
		table.remove(numericargs)
	end
	if #numericargs == 1 then
		makeerror({message = 'latitudo aŭ longitudo mankas', sortkey = 'A'})
		return showerrors()
	end
	for i, j in ipairs(numericargs) do
		if i <= (#numericargs / 2) then
			if not args.latitude then
				args.latitude = j
			else
				args.latitude =	args.latitude .. '/' .. j
			end
		else
			if not args.longitude then
				args.longitude = j
			else
				args.longitude = args.longitude .. '/' .. j
			end
		end
	end
 
	if string.find(args.latitude or '', 'E') or string.find(args.latitude or '', 'W') then
		args.latitude, args.longitude = args.longitude, args.latitude
	end
	return p._coord(args)
end
 
function p.Coord(frame)
	return p.coord(frame)
end
 
 
function p.latitude(frame) -- helper function pour infobox, à déprécier
	local args = frame.args
	local latitude  = frame.args[1]
	if latitude and mw.text.trim(latitude) ~= '' then
		return latitude
	elseif frame.args['wikidata'] == 'true' then
		local lat, long = wikidatacoords()
		return lat
	end
end
function p.longitude(frame) -- helper function pour infobox, à déprécier
	local args = frame.args
	local longitude = frame.args[1]
	if longitude and mw.text.trim(longitude) ~= '' then
		return longitude
	elseif frame.args['wikidata'] == 'true' then
		local lat, long = wikidatacoords()
		return long
	end
end
 
 
return p