Module:Coordinates: Difference between revisions

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-- A module that mimics the functionality of Template:Coord and its sub templates
--[[
-- The attempt is to actually mimic a conversion of an often used en.wp template in the way
This module is intended to replace the functionality of {{Coord}} and related
-- that most templates will actually be converted by the wiki users.  
templates. It provides several methods, including
-- Attempt is not really to write a nice and proper module from scratch :D
local math_mod = require "Module:Math";


globalFrame = nil
{{#invoke:Coordinates | coord }} : General function formatting and displaying
coordinates = {};
coordinate values.


--- Replacement for {{coord/display/title}}
{{#invoke:Coordinates | dec2dms }} : Simple function for converting decimal
function displaytitle (s)
degree values to DMS format.
    local l = "[[Geographic coordinate system|Coordinates]]: " .. s
 
    local co = '<span id="coordinates">' .. l .. '</span>';
{{#invoke:Coordinates | dms2dec }} : Simple function for converting DMS format
    return '<span style="font-size: small;">' .. co .. '</span>';
to decimal degree format.
 
{{#invoke:Coordinates | link }} : Export the link used to reach the tools
 
]]
 
require('Module:No globals')
 
local math_mod = require("Module:Math")
local coordinates = {};
 
local current_page = mw.title.getCurrentTitle()
local page_name = mw.uri.encode( current_page.prefixedText, 'WIKI' );
local coord_link = '//geohack.toolforge.org/geohack.php?pagename=' .. page_name .. '&params='
 
--[[ Helper function, replacement for {{coord/display/title}} ]]
local function displaytitle(s, notes)
local l = "[[Geographic coordinate system|Coordinates]]: " .. s
local co = '<span id="coordinates">' .. l .. notes .. '</span>';
return '<span style="font-size: small;">' .. co .. '</span>';
end
end


--- Replacement for {{coord/display/inline}}
--[[ Helper function, Replacement for {{coord/display/inline}} ]]
function displayinline (s)
local function displayinline(s, notes)
    return s  
return s .. notes
end
end


--- Test if the arguments imply that DMS might be in use
--[[ Helper function, used in detecting DMS formatting ]]
local dmsTest = function(first, second)
local function dmsTest(first, second)
    local concatenated = first:upper() .. second:upper();
if type(first) ~= 'string' or type(second) ~= 'string' then
   
return nil
    if concatenated == "NE" or concatenated == "NW" or concatenated == "SE" or concatenated == "SW" or
end
        concatenated == "EN" or concatenated == "WN" or concatenated == "ES" or concatenated == "WS" then
local s = (first .. second):upper()
        return true;
return s:find('^[NS][EW]$') or s:find('^[EW][NS]$')
    end
    return false;
end
end


--- Parse the frame assuming that it is in dec format.
-- @frame
-- @returns a table with all information needed to display coordinates
function parseDec( lat, long, format )
    local coordinateSpec = {}
    local errors = {}
   
    if long == "" or long == nil then
        return nil, {{"parseDec", "Missing longitude"}}
    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 );
--[[ Wrapper function to grab args, see Module:Arguments for this function's documentation. ]]
    coordinateSpec["dms-lat"]  = convert_dec2dms( lat, "N", "S", mode)  -- {{coord/dec2dms|{{{1}}}|N|S|{{coord/prec dec|{{{1}}}|{{{2}}}}}}}
local function makeInvokeFunc(funcName)
    coordinateSpec["dms-long"] = convert_dec2dms( long, "E", "W", mode) -- {{coord/dec2dms|{{{2}}}|E|W|{{coord/prec dec|{{{1}}}|{{{2}}}}}}}   
return function (frame)
   
local args = require('Module:Arguments').getArgs(frame, {
    if format ~= "" then
wrappers = 'Template:Coord'
        coordinateSpec.default = format
})
    else
return coordinates[funcName](args, frame)
        coordinateSpec.default = "dec"
end
    end
end


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


function optionalArg(arg, suplement)
--[[
    if arg ~= nil and arg ~= "" then
Formats any error messages generated for display
        return arg .. suplement
]]
    end
local function errorPrinter(errors)
    return ""
local result = ""
for i,v in ipairs(errors) do
local errorHTML = '<strong class="error">Coordinates: ' .. v[2] .. '</strong>'
result = result .. errorHTML .. "<br />"
end
return result
end
end


function isEmpty(arg)
--[[
  if arg == nil or arg == "" then
Determine the required CSS class to display coordinates
    return true
 
  end
Usually geo-nondefault is hidden by CSS, unless a user has overridden this for himself
  return false
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
end


function parseDMS( lat_d, lat_m, lat_s, lat_f, long_d, long_m, long_s, long_f, format )
--[[
    local coordinateSpec = {}
specPrinter
    local errors = {}
   
    lat_f = lat_f:upper();
    long_f = long_f:upper();
    -- Specified backward
    if lat_f == 'E' or lat_f == 'W' then
        local t_d, t_m, t_s, t_f;
        t_d = lat_d;
        t_m = lat_m;
        t_s = lat_s;
        t_f = lat_f;
        lat_d = long_d;
        lat_m = long_m;
        lat_s = long_s;
        lat_f = long_f;
        long_d = t_d;
        long_m = t_m;
        long_s = t_s;
        long_f = t_f;
    end   
   
    errors = validate( lat_d, lat_m, lat_s, long_d, long_m, long_s, 'parseDMS', true );
    if isEmpty(long_d) then
        table.insert(errors, {"parseDMS", "Missing longitude" })
    end
   
    if lat_m == nil and lat_s == nil and long_m == nil and long_s == nil 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
Output formatter.  Takes the structure generated by either parseDec
        coordinateSpec.default = format
or parseDMS and formats it for inclusion on Wikipedia.
    else
]]
        coordinateSpec.default = "dms"
local function specPrinter(args, coordinateSpec)
    end
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


    return coordinateSpec, errors
local geodmshtml = '<span class="geo-dms" title="Maps, aerial photos, and other data for this location">'
end
.. '<span class="latitude">' .. coordinateSpec["dms-lat"] .. '</span> '
.. '<span class="longitude">' ..coordinateSpec["dms-long"] .. '</span>'
.. '</span>'
 
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


--- A function that prints a table of coordinate specifications to HTML
local long = tonumber( coordinateSpec["dec-long"] ) or 0
function specPrinter(args, coordinateSpec)
local geodeclong
    local uriComponents = coordinateSpec["param"]
if long < 0 then
    if uriComponents == "" then
-- FIXME does not handle unicode minus
        -- RETURN error, should never be empty or nil
geodeclong = tostring(coordinateSpec["dec-long"]):sub(2) .. "°W"
        return "ERROR param was empty"
else
    end
geodeclong = (coordinateSpec["dec-long"] or 0) .. "°E"
    if args["name"] ~= "" and args["name"] ~= nil then
end
        uriComponents = uriComponents .. "&title=" .. mw.uri.encode(coordinateSpec["name"])
    end
   
    local geodmshtml = '<span class="geo-dms" title="Maps, aerial photos, and other data for this location">'
            .. '<span class="latitude">' .. coordinateSpec["dms-lat"] .. '</span> '
            .. '<span class="longitude">' ..coordinateSpec["dms-long"] .. '</span>'
            .. '</span>'


    local lat = tonumber( coordinateSpec["dec-lat"] ) or 0
local geodechtml = '<span class="geo-dec" title="Maps, aerial photos, and other data for this location">'
    if lat < 0 then
.. geodeclat .. ' '
        -- FIXME this breaks the pre-existing precision
.. geodeclong
        geodeclat = coordinateSpec["dec-lat"]:sub(2) .. "°S"
.. '</span>'
    else
        geodeclat = (coordinateSpec["dec-lat"] or 0) .. "°N"
    end


    local long = tonumber( coordinateSpec["dec-long"] ) or 0
local geonumhtml = '<span class="geo">'
    if long < 0 then
.. coordinateSpec["dec-lat"] .. '; '
        -- FIXME does not handle unicode minus
.. coordinateSpec["dec-long"]
        geodeclong = coordinateSpec["dec-long"]:sub(2) .. "°W"
.. '</span>'
    else
        geodeclong = (coordinateSpec["dec-long"] or 0) .. "°E"
    end
   
    -- TODO requires DEC formatting
    local geodechtml = '<span class="geo-dec" title="Maps, aerial photos, and other data for this location">'
            .. geodeclat .. ' '
            .. geodeclong
            .. '</span>'


    local geonumhtml = '<span class="geo">'
local inner = '<span class="' .. displayDefault(coordinateSpec["default"], "dms" ) .. '">' .. geodmshtml .. '</span>'
            .. coordinateSpec["dec-lat"] .. '; '
.. '<span class="geo-multi-punct">&#xfeff; / &#xfeff;</span>'
            .. coordinateSpec["dec-long"]
.. '<span class="' .. displayDefault(coordinateSpec["default"], "dec" ) .. '">';
            .. '</span>'


    local inner
if not args["name"] then
    if args["name"] == "" or args["name"] == nil then
inner = inner .. geodechtml
        inner = '<span class="' .. displayDefault(coordinateSpec["default"], "dms" ) .. '">' .. geodmshtml .. '</span>'
.. '<span style="display:none">&#xfeff; / ' .. geonumhtml .. '</span></span>'
                .. '<span class="geo-multi-punct">&#xfeff; / &#xfeff;</span>'
else
                .. '<span class="' .. displayDefault(coordinateSpec["default"], "dec" ) .. '">' .. geodechtml  
inner = inner .. '<span class="vcard">' .. geodechtml
                .. '<span style="display:none">&#xfeff; / ' .. geonumhtml .. '</span></span>'
.. '<span style="display:none">&#xfeff; / ' .. geonumhtml .. '</span>'
    else
.. '<span style="display:none">&#xfeff; (<span class="fn org">'
        inner = '<span class="' .. displayDefault(coordinateSpec["default"], "dms" ) .. '">' .. geodmshtml .. '</span>'
.. args["name"] .. '</span>)</span></span></span>'
                .. '<span class="geo-multi-punct">&#xfeff; / &#xfeff;</span>'
end
                .. '<span class="' .. displayDefault(coordinateSpec["default"], "dec" ) .. '"><span class="vcard">' .. geodechtml  
                .. '<span style="display:none">&#xfeff; / ' .. geonumhtml .. '</span>'
                .. '<span style="display:none">&#xfeff; (<span class="fn org">'
                .. args["name"] .. '</span>)</span></span></span>'
    end


    return '<span class="plainlinks nourlexpansion">' .. globalFrame:preprocess(
return '<span class="plainlinks nourlexpansion">' ..
        '[http://toolserver.org/~geohack/geohack.php?pagename={{FULLPAGENAMEE}}&params=' ..
'[' .. coord_link .. uriComponents .. ' ' .. inner .. ']' .. '</span>'
        uriComponents .. ' ' .. inner .. ']') .. '</span>'
end
end


function errorPrinter(errors)
--[[ Helper function, convert decimal to degrees ]]
    local result = ""
local function convert_dec2dms_d(coordinate)
    for i,v in ipairs(errors) do
local d = math_mod._round( coordinate, 0 ) .. "°"
        local errorHTML = '<strong class="error">' .. v[2] .. ' in Module:Coordinates.' .. v[1] .."()" .. '</strong>'
return d .. ""
        result = result .. errorHTML .. "<br />"
    end
    return result
end
end


--- Determine the required CSS class to display coordinates
--[[ Helper function, convert decimal to degrees and minutes ]]
-- Usually geo-nondefault is hidden by CSS, unless a user has overridden this for himself
local function convert_dec2dms_dm(coordinate)
-- default is the mode as specificied by the user when calling the {{coord}} template
coordinate = math_mod._round( coordinate * 60, 0 );
-- mode is the display mode (dec or dms) that we will need to determine the css class for
local m = coordinate % 60;
function displayDefault(default, mode)
coordinate = math.floor( (coordinate - m) / 60 );
    if default == "" then
local d = coordinate % 360 .."°"
        default = "dec"
 
    end
return d .. string.format( "%02d′", m )
   
    if default == mode then
        return "geo-default"
    else
        return "geo-nondefault"
    end
end
end


--- Check the arguments to determine what type of coordinates has been input
--[[ Helper function, convert decimal to degrees, minutes, and seconds ]]
function formatTest(args)
local function convert_dec2dms_dms(coordinate)
    local result, errors;
coordinate = math_mod._round( coordinate * 60 * 60, 0 );
    local primary = false;
local s = coordinate % 60
   
coordinate = math.floor( (coordinate - s) / 60 );
    if args[1] == "" then
local m = coordinate % 60
        -- no lat logic
coordinate = math.floor( (coordinate - m) / 60 );
        return errorPrinter( {{"formatTest", "Missing latitude"}} )
local d = coordinate % 360 .."°"
    elseif args[4] == "" and args[5] == "" and args[6] == "" then
 
        -- dec logic
return d .. string.format( "%02d′", m ) .. string.format( "%02d″", s )
        result, errors = parseDec( args[1], args[2], args['format'] )
        if result == nil then
            return errorPrinter( errors );
        end             
        result.param    = table.concat( {args[1], "_N_", args[2], "_E_", args[3] } );
    elseif dmsTest(args[4], args[8]) then
        -- dms logic
        result, errors = parseDMS( args[1], args[2], args[3], args[4],
            args[5], args[6], args[7], args[8], args['format'] )
        result.param = table.concat( { args[1], args[2], args[3], args[4], args[5],
            args[6], args[7], args[8], args[9] } , '_' );
        if args[10] ~= '' then
            table.insert( errors, { 'formatTest', 'Extra unexpected parameters' } );
        end       
    elseif dmsTest(args[3], args[6]) then
        -- dm logic
        result, errors = parseDMS( args[1], args[2], nil, args[3],
            args[4], args[5], nil, args[6], args['format'] )
        result.param = table.concat( { args[1], args[2], args[3], args[4], args[5],
            args[6], args[7] } , '_' );
        if args[8] ~= '' then
            table.insert( errors, { 'formatTest', 'Extra unexpected parameters' } );
        end       
    elseif dmsTest(args[2], args[4]) then
        -- d logic
        result, errors = parseDMS( args[1], nil, nil, args[2],
            args[3], nil, nil, args[4], args['format'] )
        result.param = table.concat( { args[1], args[2], args[3], args[4], args[5] } , '_' );
        if args[6] ~= '' then
            table.insert( errors, { 'formatTest', 'Extra unexpected parameters' } );
        end       
    else
        -- Error
        return errorPrinter( {{"formatTest", "Unknown argument format"}} )
    end
    result.name    = args["name"]
   
    local extra_param = {'dim', 'globe', 'scale', 'region', 'source', 'type'}
    for _, v in ipairs( extra_param ) do
        if (args[v] or '') ~= '' then
            table.insert( errors, {'formatTest', 'Parameter: "' .. v .. '=" should be "' .. v .. ':"' } );
        end
    end
   
    if #errors == 0 then
        return specPrinter( args, result )   
    else
        return specPrinter( args, result ) .. " " .. errorPrinter(errors) .. '[[Category:Pages with malformed coordinate tags]]';
    end   
end
end


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


function convert_dec2dms_dm(coordinate)  
--[[
    coordinate = math_mod._round( coordinate * 60, 0 );
Convert DMS format into a N or E decimal coordinate
    local m = coordinate % 60;
]]
    coordinate = math.floor( (coordinate - m) / 60 );
local function convert_dms2dec(direction, degrees_str, minutes_str, seconds_str)
    local d = coordinate % 360 .."°"
local degrees = tonumber(degrees_str)
   
local minutes = tonumber(minutes_str) or 0
    return d .. string.format( "%02d′", m )
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
end


function convert_dec2dms_dms(coordinate)
--[[
    coordinate = math_mod._round( coordinate * 60 * 60, 0 );
Checks input values to for out of range errors.
    local s = coordinate % 60
]]
    coordinate = math.floor( (coordinate - s) / 60 );
local function validate( lat_d, lat_m, lat_s, long_d, long_m, long_s, source, strong )
    local m = coordinate % 60
local errors = {};
    coordinate = math.floor( (coordinate - m) / 60 );
lat_d = tonumber( lat_d ) or 0;
    local d = coordinate % 360 .."°"
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.


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


--- Convert a latitude or longitude to the DMS format
--[[
function convert_dec2dms(coordinate, firstPostfix, secondPostfix, precision)
parseDec
    -- {{Coord/dec2dms/{{{4}}}|{{#ifexpr:{{{1}}} >= 0||-}}{{{1}}}}}{{#ifexpr:{{{1}}} >= 0|{{{2}}}|{{{3}}}}}
 
    local coord = tonumber(coordinate) or 0
Transforms decimal format latitude and longitude into the
    local postfix
structure to be used in displaying coordinates
    if coord >= 0 then
]]
        postfix = firstPostfix
local function parseDec( lat, long, format )
    else
local coordinateSpec = {}
        postfix = secondPostfix
local errors = {}
    end
 
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


    if precision == "dms" then
return coordinateSpec, errors
        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
   
    -- return "" .. globalFrame:expandTemplate{ title = 'coord/dec2dms', args = {coordinate, firstPostfix, secondPostfix, precision}}
end
end


--- Convert DMS into a N or E decimal coordinate
--[[
-- @param coordinate direction. either "N" "S" "E" or "W"
parseDMS
-- @param degrees: string or number
 
-- @param minutes: string or number
Transforms degrees, minutes, seconds format latitude and longitude
-- @param seconds: string or number
into the a structure to be used in displaying coordinates
-- @return a number with the N or E normalized decimal coordinate of the input
]]
function convert_dms2dec(direction, degrees_str, minutes_str, seconds_str)
local function parseDMS( lat_d, lat_m, lat_s, lat_f, long_d, long_m, long_s, long_f, format )
    local degrees = tonumber(degrees_str) or 0
local coordinateSpec, errors, backward = {}, {}
    local minutes = tonumber(minutes_str) or 0
 
    local seconds = tonumber(seconds_str) or 0
lat_f = lat_f:upper();
    -- {{#expr:{{#switch:{{{1}}}|N|E=1|S|W=-1}}*({{{2|0}}}+({{{3|0}}}+{{{4|0}}}/60)/60) round {{{precdec|{{#if:{{{4|}}}|5|{{#if:{{{3|}}}|3|0}}}}+{{precision1|{{{4|{{{3|{{{2}}}}}}}}}}}}}}}}
long_f = long_f:upper();
   
 
    local factor
-- Check if specified backward
    if direction == "N" or direction == "E" then
if lat_f == 'E' or lat_f == 'W' then
        factor = 1
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;
    else
end
        factor = -1
 
    end
errors = validate( lat_d, lat_m, lat_s, long_d, long_m, long_s, 'parseDMS', true );
   
if not long_d then
    local precision = 0
return nil, {{"parseDMS", "Missing longitude" }}
    if not isEmpty(seconds_str) then
elseif not tonumber(long_d) then
        precision = 5 + math.max( math_mod._precision(seconds_str), 0 );
return nil, {{"parseDMS", "Longitude could not be parsed as a number:" .. long_d }}
    elseif not isEmpty(minutes_str) then
end
        precision = 3 + math.max( math_mod._precision(minutes_str), 0 );
 
    else
if not lat_m and not lat_s and not long_m and not long_s and #errors == 0 then
        precision = math.max( math_mod._precision(degrees_str), 0 );
if math_mod._precision( lat_d ) > 0 or math_mod._precision( long_d ) > 0 then
    end
if lat_f:upper() == 'S' then
   
lat_d = '-' .. lat_d;
    -- nil -> 0
end
    local decimal = factor * (degrees+(minutes+seconds/60)/60)
if long_f:upper() == 'W' then
    return string.format( "%." .. precision .. "f", decimal ) -- not tonumber since this whole thing is string based.
long_d = '-' .. long_d;
   
end
    --return "" .. globalFrame:expandTemplate{ title = 'coord/dms2dec', args = {direction, degrees, minutes, seconds}}
 
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
end


function validate( lat_d, lat_m, lat_s, long_d, long_m, long_s, source, strong )
--[[
    local errors = {};
Check the input arguments for coord to determine the kind of data being provided
    lat_d = tonumber( lat_d ) or 0;
and then make the necessary processing.
    lat_m = tonumber( lat_m ) or 0;
]]
    lat_s = tonumber( lat_s ) or 0;
local function formatTest(args)
    long_d = tonumber( long_d ) or 0;
local result, errors
    long_m = tonumber( long_m ) or 0;
local backward, primary = false, false
    long_s = tonumber( long_s ) or 0;
 
local function getParam(args, lim)
local ret = {}
for i = 1, lim do
ret[i] = args[i] or ''
end
return table.concat(ret, '_')
end


    if strong then
if not args[1] then
        if lat_d < 0 then
-- no lat logic
            table.insert(errors, {source, "latitude degrees < 0 with hemisphere flag"})
return errorPrinter( {{"formatTest", "Missing latitude"}} )
        end
elseif not tonumber(args[1]) then
        if long_d < 0 then
-- bad lat logic
            table.insert(errors, {source, "longitude degrees < 0 with hemisphere flag"})
return errorPrinter( {{"formatTest", "Unable to parse latitude as a number:" .. args[1]}} )
        end
elseif not args[4] and not args[5] and not args[6] then
        --[[  
-- dec logic
        #coordinates is inconsistent about whether this is an error.  If globe: is
result, errors = parseDec(args[1], args[2], args.format)
        specified, it won't error on this condition, but otherwise it will.
if not result then
       
return errorPrinter(errors);
        For not simply disable this check.
end
       
-- formatting for geohack: geohack expects D_N_D_E notation or D;D notation
        if long_d > 180 then
-- wikiminiatlas doesn't support D;D notation
            table.insert(errors, {source, "longitude degrees > 180 with hemisphere flag"})
-- #coordinates parserfunction doesn't support negative decimals with NSWE
        end
result.param = table.concat({
        ]]
math.abs(tonumber(args[1])),
    end   
((tonumber(args[1]) or 0) < 0) and 'S' or 'N',
       
math.abs(tonumber(args[2])),
    if lat_d > 90 then
((tonumber(args[2]) or 0) < 0) and 'W' or 'E',
        table.insert(errors, {source, "latitude degrees > 90"})
args[3] or ''}, '_')
    end
elseif dmsTest(args[4], args[8]) then
    if lat_d < -90 then
-- dms logic
        table.insert(errors, {source, "latitude degrees < -90"})
result, errors, backward = parseDMS(args[1], args[2], args[3], args[4],
    end
args[5], args[6], args[7], args[8], args.format)
    if lat_m >= 60 then
if args[10] then
        table.insert(errors, {source, "latitude minutes >= 60"})
table.insert(errors, {'formatTest', 'Extra unexpected parameters'})
    end
end
    if lat_m < 0 then
if not result then
        table.insert(errors, {source, "latitude minutes < 0"})
return errorPrinter(errors)
    end
end
    if lat_s >= 60 then
result.param = getParam(args, 9)
        table.insert(errors, {source, "latitude seconds >= 60"})
elseif dmsTest(args[3], args[6]) then
    end
-- dm logic
    if lat_s < 0 then
result, errors, backward = parseDMS(args[1], args[2], nil, args[3],
        table.insert(errors, {source, "latitude seconds < 0"})
args[4], args[5], nil, args[6], args['format'])
    end
if args[8] then
    if long_d >= 360 then
table.insert(errors, {'formatTest', 'Extra unexpected parameters'})
        table.insert(errors, {source, "longitude degrees >= 360"})
end
    end
if not result then
    if long_d <= -360 then
return errorPrinter(errors)
        table.insert(errors, {source, "longitude degrees <= -360"})
end
    end
result.param = getParam(args, 7)
    if long_m >= 60 then
elseif dmsTest(args[2], args[4]) then
        table.insert(errors, {source, "longitude minutes >= 60"})
-- d logic
    end
result, errors, backward = parseDMS(args[1], nil, nil, args[2],
    if long_m < 0 then
args[3], nil, nil, args[4], args.format)
        table.insert(errors, {source, "longitude minutes < 0"})
if args[6] then
    end
table.insert(errors, {'formatTest', 'Extra unexpected parameters'})
    if long_s >= 60 then
end
        table.insert(errors, {source, "longitude seconds >= 60"})
if not result then
    end
return errorPrinter(errors)
    if long_s < 0 then
end
        table.insert(errors, {source, "longitude seconds < 0"})
result.param = getParam(args, 5)
    end
else
   
-- Error
    return errors;
return errorPrinter({{"formatTest", "Unknown argument format"}})
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
end


--[[
Generate Wikidata tracking categories.
]]
local function makeWikidataCategories(qid)
local ret
if mw.wikibase and current_page.namespace == 0 then
local entity = qid and mw.wikibase.getEntityObject(qid) or mw.wikibase.getEntityObject()
if entity and entity.claims and entity.claims.P625 and entity.claims.P625[1] then
local snaktype = entity.claims.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


--- The display function we exposed to Module:Coordinates
--[[
function coordinates.input(frame)
link
    globalFrame = frame;
 
    return formatTest(frame.args)
Simple function to export the coordinates link for other uses.
 
Usage:
{{#invoke:Coordinates | link }}
 
]]
function coordinates.link(frame)
return coord_link;
end
end


--- The dec2dms function exposed to Module:Coordinates
--[[
function coordinates.dec2dms(frame)
dec2dms
    globalFrame = frame
 
    local coordinate = frame.args[1]
Wrapper to allow templates to call dec2dms directly.
    local firstPostfix = frame.args[2]
 
    local secondPostfix = frame.args[3]
Usage:
    local precision = frame.args[4]
{{#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)
return convert_dec2dms(coordinate, firstPostfix, secondPostfix, precision)
end
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 )
function coordinates.determineMode( value1, value2 )
    local precision = math.max( math_mod._precision( value1 ), math_mod._precision( value2 ) );
local precision = math.max( math_mod._precision( value1 ), math_mod._precision( value2 ) );
    if precision <= 0 then
if precision <= 0 then
        return 'd'
return 'd'
    elseif precision <= 2 then
elseif precision <= 2 then
        return 'dm';
return 'dm';
    else
else
        return 'dms';
return 'dms';
    end
end
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'
 
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 .. displayinline(contents, Notes)
end
if isInTitle(Display) then
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


--- The dec2dms function exposed to Module:Coordinates
Extracts a single value from a transclusion of {{Coord}}.
function coordinates.dms2dec(frame)
IF THE GEOHACK LINK SYNTAX CHANGES THIS FUNCTION MUST BE MODIFIED.
    globalFrame = frame
    local direction = frame.args[1]
    local degrees = frame.args[2]
    local minutes = frame.args[3]
    local seconds = frame.args[4]


     return convert_dms2dec(direction, degrees, minutes, seconds)
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(frame)
if frame.args[1] == '' or frame.args[2] == '' or not frame.args[2] then return nil end
frame.args[2] = mw.text.trim(frame.args[2])
if frame.args[2] == 'lat' or frame.args[2] == 'long' then
local result, negative = mw.text.split((mw.ustring.match(frame.args[1],'[%.%d]+°[NS] [%.%d]+°[EW]') or ''), ' ')
if frame.args[2] == '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(frame.args[1], 'params=.-_'..frame.args[2]..':(.-)[ _]')
end
end
end


--- This is used by {{coord}}.
--[[
function coordinates.coord(frame)
coordinsert
     globalFrame = frame
 
    local args = frame.args
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 args[1] == nil then
IF THE GEOHACK LINK SYNTAX CHANGES THIS FUNCTION MUST BE MODIFIED.
        local pFrame = frame:getParent();
 
        args = pFrame.args;
Usage:
        for k,v in pairs( frame.args ) do
 
            args[k] = v;
     {{#invoke:Coordinates | coordinsert | {{Coord}} | parameter:value | parameter:value | … }}
        end
 
    end
Do not make Geohack unhappy by inserting something which isn't mentioned in the {{Coord}} documentation.
   
 
    for i=1,10 do
]]
        if args[i] == nil then
function coordinates.coordinsert(frame)
            args[i] = ""
for i, v in ipairs(frame.args) do
        else
if i ~= 1 then
            args[i] = args[i]:match( '^%s*(.-)%s*$' );  --remove whitespace
if not mw.ustring.find(frame.args[1], (mw.ustring.match(frame.args[i], '^(.-:)') or '')) then
        end      
frame.args[1] = mw.ustring.gsub(frame.args[1], '(params=.-)_? ', '%1_'..frame.args[i]..' ')
    end
end
    args['format'] = args['format'] or '';
end
   
end
    local contents = formatTest(args)
if frame.args.name then
    local Notes = args.notes or ""
if not mw.ustring.find(frame.args[1], '<span class="vcard">') then
    local Display = string.lower(args.display or "inline")
local namestr = frame.args.name
    if Display == '' then
frame.args[1] = mw.ustring.gsub(frame.args[1],
        Display = 'inline';
'(<span class="geo%-default">)(<span[^<>]*>[^<>]*</span><span[^<>]*>[^<>]*<span[^<>]*>[^<>]*</span></span>)(</span>)',
    end
'%1<span class="vcard">%2<span style="display:none">&#xfeff; (<span class="fn org">' .. namestr .. '</span>)</span></span>%3')
   
frame.args[1] = mw.ustring.gsub(frame.args[1], '(&params=[^&"<>%[%] ]*) ', '%1&title=' .. mw.uri.encode(namestr) .. ' ')
    local text = ''
end
    if string.find( Display, 'inline' ) ~= nil or Display == 't' or
end
            Display == 'it' or Display == 'ti' then
return frame.args[1]
        text = displayinline(contents)
    end
    if string.find( Display, 'title' ) ~= nil or Display == 'i' or
            Display == 'it' or Display == 'ti' then
        text = text .. displaytitle(contents)
    end
    return text .. Notes
end
end


return coordinates
return coordinates

Latest revision as of 04:38, 3 September 2020

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

--[[
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('Module:No globals')

local math_mod = require("Module:Math")
local coordinates = {};

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

--[[ Helper function, replacement for {{coord/display/title}} ]]
local function displaytitle(s, notes)
	local l = "[[Geographic coordinate system|Coordinates]]: " .. s
	local co = '<span id="coordinates">' .. l .. notes .. '</span>';
	return '<span style="font-size: small;">' .. co .. '</span>';
end

--[[ Helper function, Replacement for {{coord/display/inline}} ]]
local function displayinline(s, notes)
	return s .. notes
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
		local errorHTML = '<strong class="error">Coordinates: ' .. v[2] .. '</strong>'
		result = result .. errorHTML .. "<br />"
	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 = '<span class="geo-dms" title="Maps, aerial photos, and other data for this location">'
			.. '<span class="latitude">' .. coordinateSpec["dms-lat"] .. '</span> '
			.. '<span class="longitude">' ..coordinateSpec["dms-long"] .. '</span>'
			.. '</span>'

	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 = '<span class="geo-dec" title="Maps, aerial photos, and other data for this location">'
			.. geodeclat .. ' '
			.. geodeclong
			.. '</span>'

	local geonumhtml = '<span class="geo">'
			.. coordinateSpec["dec-lat"] .. '; '
			.. coordinateSpec["dec-long"]
			.. '</span>'

	local inner = '<span class="' .. displayDefault(coordinateSpec["default"], "dms" ) .. '">' .. geodmshtml .. '</span>'
				.. '<span class="geo-multi-punct">&#xfeff; / &#xfeff;</span>'
				.. '<span class="' .. displayDefault(coordinateSpec["default"], "dec" ) .. '">';

	if not args["name"] then
		inner = inner .. geodechtml
				.. '<span style="display:none">&#xfeff; / ' .. geonumhtml .. '</span></span>'
	else
		inner = inner .. '<span class="vcard">' .. geodechtml
				.. '<span style="display:none">&#xfeff; / ' .. geonumhtml .. '</span>'
				.. '<span style="display:none">&#xfeff; (<span class="fn org">'
				.. args["name"] .. '</span>)</span></span></span>'
	end

	return '<span class="plainlinks nourlexpansion">' ..
		'[' .. coord_link .. uriComponents .. ' ' .. inner .. ']' .. '</span>'
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"}})
	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
	if mw.wikibase and current_page.namespace == 0 then
		local entity = qid and mw.wikibase.getEntityObject(qid) or mw.wikibase.getEntityObject()
		if entity and entity.claims and entity.claims.P625 and entity.claims.P625[1] then
			local snaktype = entity.claims.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'

	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 .. displayinline(contents, Notes)
	end
	if isInTitle(Display) then
		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(frame)
	if frame.args[1] == '' or frame.args[2] == '' or not frame.args[2] then return nil end
	frame.args[2] = mw.text.trim(frame.args[2])
	if frame.args[2] == 'lat' or frame.args[2] == 'long' then
		local result, negative = mw.text.split((mw.ustring.match(frame.args[1],'[%.%d]+°[NS] [%.%d]+°[EW]') or ''), ' ')
		if frame.args[2] == '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(frame.args[1], 'params=.-_'..frame.args[2]..':(.-)[ _]')
	end
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 i, v in ipairs(frame.args) do
		if i ~= 1 then
			if not mw.ustring.find(frame.args[1], (mw.ustring.match(frame.args[i], '^(.-:)') or '')) then
				frame.args[1] = mw.ustring.gsub(frame.args[1], '(params=.-)_? ', '%1_'..frame.args[i]..' ')
			end
		end
	end
	if frame.args.name then
		if not mw.ustring.find(frame.args[1], '<span class="vcard">') then
			local namestr = frame.args.name
			frame.args[1] = mw.ustring.gsub(frame.args[1],
				'(<span class="geo%-default">)(<span[^<>]*>[^<>]*</span><span[^<>]*>[^<>]*<span[^<>]*>[^<>]*</span></span>)(</span>)',
				'%1<span class="vcard">%2<span style="display:none">&#xfeff; (<span class="fn org">' .. namestr .. '</span>)</span></span>%3')
			frame.args[1] = mw.ustring.gsub(frame.args[1], '(&params=[^&"<>%[%] ]*) ', '%1&title=' .. mw.uri.encode(namestr) .. ' ')
		end
	end
	return frame.args[1]
end

return coordinates