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vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Actions </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="vector-more-collapsible-item mw-list-item"><a href="/wiki/Module:Ordnance_Survey_coordinates"><span>Read</span></a></li><li id="ca-more-viewsource" class="selected vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Module:Ordnance_Survey_coordinates&action=edit"><span>View source</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Module:Ordnance_Survey_coordinates&action=history"><span>View history</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> General </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:WhatLinksHere/Module:Ordnance_Survey_coordinates" title="List of all English Wikipedia pages containing links to this page [j]" accesskey="j"><span>What links here</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:RecentChangesLinked/Module:Ordnance_Survey_coordinates" rel="nofollow" title="Recent changes in pages linked from this page [k]" accesskey="k"><span>Related changes</span></a></li><li id="t-upload" class="mw-list-item"><a href="//en.wikipedia.org/wiki/Wikipedia:File_Upload_Wizard" title="Upload files [u]" accesskey="u"><span>Upload file</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Module:Ordnance_Survey_coordinates&action=info" title="More information about this page"><span>Page information</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:UrlShortener&url=https%3A%2F%2Fen.wikipedia.org%2Fw%2Findex.php%3Ftitle%3DModule%3AOrdnance_Survey_coordinates%26action%3Dedit"><span>Get shortened URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&url=https%3A%2F%2Fen.wikipedia.org%2Fw%2Findex.php%3Ftitle%3DModule%3AOrdnance_Survey_coordinates%26action%3Dedit"><span>Download QR code</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> In other projects </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q72026926" title="Structured data on this page hosted by Wikidata [g]" accesskey="g"><span>Wikidata item</span></a></li> </ul> </div> </div> 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data-event-name="pinnable-header.vector-appearance.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">hide</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> </div> <div id="contentSub"><div id="mw-content-subtitle">← <a href="/wiki/Module:Ordnance_Survey_coordinates" title="Module:Ordnance Survey coordinates">Module:Ordnance Survey coordinates</a></div></div> <div id="mw-content-text" class="mw-body-content"><p>You do not have permission to edit this page, for the following reasons: </p> <ul class="permissions-errors"><li class="mw-permissionerror-protectedpagetext"><div class="mw-parser-output"> <div class="mw-parser-output"><style data-mw-deduplicate="TemplateStyles:r1099782930">.mw-parser-output .pptext-whywhat h2{margin-top:1em;border-bottom:0;font-size:130%;font-weight:bold;padding:0.15em}.mw-parser-output .pptext-submit{list-style:none;display:inline;text-align:center}.mw-parser-output .pptext-whywhat{display:flex;flex-wrap:wrap;column-gap:2em}.mw-parser-output .pptext-whywhat>div{flex:1 1 400px}</style><style data-mw-deduplicate="TemplateStyles:r1238441935">.mw-parser-output .fmbox{clear:both;margin:0.2em 0;width:100%;border:1px solid #a2a9b1;background-color:var(--background-color-interactive-subtle,#f8f9fa);box-sizing:border-box;color:var(--color-base,#202122)}.mw-parser-output .fmbox-warning{border:1px solid #bb7070;background-color:#ffdbdb}.mw-parser-output .fmbox-editnotice{background-color:transparent}.mw-parser-output .fmbox .mbox-text{border:none;padding:0.25em 0.9em;width:100%}.mw-parser-output .fmbox .mbox-image{border:none;padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .fmbox .mbox-imageright{border:none;padding:2px 0.9em 2px 0;text-align:center}.mw-parser-output .fmbox .mbox-invalid-type{text-align:center}@media screen{html.skin-theme-clientpref-night .mw-parser-output .fmbox-warning{background-color:#300}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .fmbox-warning{background-color:#300}}</style><table id="mw-protectedpagetext" class="plainlinks fmbox fmbox-system" role="presentation" style="border-style:none;"><tbody><tr><td class="mbox-text"><style data-mw-deduplicate="TemplateStyles:r1238436933">.mw-parser-output .ombox{margin:4px 0;border-collapse:collapse;border:1px solid #a2a9b1;background-color:var(--background-color-neutral-subtle,#f8f9fa);box-sizing:border-box;color:var(--color-base,#202122)}.mw-parser-output .ombox.mbox-small{font-size:88%;line-height:1.25em}.mw-parser-output .ombox-speedy{border:2px solid #b32424;background-color:#fee7e6}.mw-parser-output .ombox-delete{border:2px solid #b32424}.mw-parser-output .ombox-content{border:1px solid #f28500}.mw-parser-output .ombox-style{border:1px solid #fc3}.mw-parser-output .ombox-move{border:1px solid #9932cc}.mw-parser-output .ombox-protection{border:2px solid #a2a9b1}.mw-parser-output .ombox .mbox-text{border:none;padding:0.25em 0.9em;width:100%}.mw-parser-output .ombox .mbox-image{border:none;padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .ombox .mbox-imageright{border:none;padding:2px 0.9em 2px 0;text-align:center}.mw-parser-output .ombox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ombox .mbox-invalid-type{text-align:center}@media(min-width:720px){.mw-parser-output .ombox{margin:4px 10%}.mw-parser-output .ombox.mbox-small{clear:right;float:right;margin:4px 0 4px 1em;width:238px}}body.skin--responsive .mw-parser-output table.ombox img{max-width:none!important}@media screen{html.skin-theme-clientpref-night .mw-parser-output .ombox-speedy{background-color:#310402}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .ombox-speedy{background-color:#310402}}</style><table class="plainlinks ombox ombox-protection" role="presentation"><tbody><tr><td class="mbox-image"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/5/53/Template-protection-shackle.svg/40px-Template-protection-shackle.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/5/53/Template-protection-shackle.svg/60px-Template-protection-shackle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/5/53/Template-protection-shackle.svg/80px-Template-protection-shackle.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span></td><td class="mbox-text" style="font-weight:bold; font-size:130%;"><div style="text-align: center;">This page is currently <a href="/wiki/Wikipedia:Protection_policy#Template_protection" title="Wikipedia:Protection policy">protected</a> so that only <a href="/wiki/Wikipedia:Template_editor" title="Wikipedia:Template editor">template editors</a> and <a href="/wiki/Wikipedia:Administrators" title="Wikipedia:Administrators">administrators</a> can edit it.</div></td></tr></tbody></table> <div class="pptext-whywhat"> <div class="pptext-why"> <div class="mw-heading mw-heading2"><h2 id="Why_is_the_page_protected?"><span id="Why_is_the_page_protected.3F"></span>Why is the page protected?</h2></div> <ul> <li>Some <a href="/wiki/Wikipedia:Template_messages" class="mw-redirect" title="Wikipedia:Template messages">templates</a> and site interface pages are permanently <a href="/wiki/Wikipedia:Protection_policy#Template_protection" title="Wikipedia:Protection policy">protected</a> due to visibility. Most templates can be edited by anyone.</li> <li>The reason for protection can be found in the <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Special:Log&type=protect&page=Module%3AOrdnance+Survey+coordinates">protection log</a>. If there are no relevant entries in the protection log, the page may have been moved after being protected. </li> </ul> </div> <div class="pptext-what"> <div class="mw-heading mw-heading2"><h2 id="What_can_I_do?"><span id="What_can_I_do.3F"></span>What can I do?</h2></div> <ul> <li><a href="/wiki/Module_talk:Ordnance_Survey_coordinates" class="mw-redirect" title="Module talk:Ordnance Survey coordinates">Discuss this page</a> with others.</li> <li>For move-protected pages, see <a href="/wiki/Wikipedia:Requested_moves" title="Wikipedia:Requested moves">requested moves</a>.</li> <li><a href="/wiki/Wikipedia:Requests_for_page_protection#Current_requests_for_reduction_in_protection_level" title="Wikipedia:Requests for page protection">Request that the page's protection level be reduced</a>.</li> <li><a href="/wiki/Help:Introduction" title="Help:Introduction">Find out more about how to get started editing Wikipedia</a>.</li> <li>If you have noticed an error or have a suggestion for a <b>simple, non-controversial change</b>, you can submit an edit request by clicking the button below and following the instructions. An <a href="/wiki/Wikipedia:Administrators" title="Wikipedia:Administrators">administrator</a> or <a href="/wiki/Wikipedia:Template_editor" title="Wikipedia:Template editor">template editor</a> may then make the change on your behalf. Please check <a href="/wiki/Module_talk:Ordnance_Survey_coordinates" class="mw-redirect" title="Module talk:Ordnance Survey coordinates">the talk page</a> first in case the issue is already being discussed.</li> <li class="pptext-submit"><div> <p><span class="plainlinks clickbutton"><a class="external text" href="https://en.wikipedia.org/w/index.php?title=Template_talk%3AOrdnance_Survey_coordinates&preload=Template%3ASubmit+an+edit+request%2Fpreload&action=edit&section=new&editintro=Template%3AEdit+template-protected%2Feditintro&preloadtitle=Template-protected+edit+request+on+17+February+2025&preloadparams%5B%5D=edit+template-protected&preloadparams%5B%5D=Module%3AOrdnance+Survey+coordinates"><span class="mw-ui-button mw-ui-progressive">Submit an edit request</span></a></span> </p> </div></li> <li>If you wrote any text, please save it temporarily to your device until you can edit this page.</li> </ul> </div> </div></td></tr></tbody></table></div> </div></li><li class="mw-permissionerror-blockedtext"> <div id="mw-blocked-text" style="border: 1px solid #AAA; background-color: var(--background-color-warning-subtle, ivory); color: inherit; padding: 1.5em; width: 100%; box-sizing: border-box;"> <div style="text-align: center;"><span style="font-size: 26px;"><span typeof="mw:File"><a href="/wiki/File:Stop_hand_nuvola.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/en/thumb/f/f1/Stop_hand_nuvola.svg/50px-Stop_hand_nuvola.svg.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/f/f1/Stop_hand_nuvola.svg/75px-Stop_hand_nuvola.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/f/f1/Stop_hand_nuvola.svg/100px-Stop_hand_nuvola.svg.png 2x" data-file-width="240" data-file-height="240" /></a></span><b> This IP address has been <a href="/wiki/Wikipedia:Blocking_policy" title="Wikipedia:Blocking policy">blocked</a> from <i>editing</i> Wikipedia.</b></span><br /><span style="font-size: 18px;">This does not affect your ability to <i>read</i> Wikipedia pages.</span></div><div class="paragraphbreak" style="margin-top:0.5em"></div><b>Most people who see this message have done nothing wrong.</b> Some kinds of blocks restrict editing from specific service providers or telecom companies in response to recent abuse or vandalism, and can sometimes affect other users who are unrelated to that abuse. Review the information below for assistance if you do not believe that you have done anything wrong.<div class="paragraphbreak" style="margin-top:0.5em"></div> <p>The IP address or range 8.222.128.0/17 has been <a href="/wiki/Wikipedia:Blocking_policy" title="Wikipedia:Blocking policy">blocked</a> by <a href="/wiki/User:L235" title="User:L235">‪L235‬</a> for the following reason(s): </p> <div style="padding:10px; background:var(--background-color-base, white); color:inherit; border:1px #666 solid;"> <div class="user-block colocation-webhost" style="margin-bottom: 0.5em; background-color: #ffefd5; border: 1px solid #AAA; padding: 0.7em;"> <figure class="mw-halign-left" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/53/Server-multiple.svg/40px-Server-multiple.svg.png" decoding="async" width="40" height="57" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/53/Server-multiple.svg/60px-Server-multiple.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/53/Server-multiple.svg/80px-Server-multiple.svg.png 2x" data-file-width="744" data-file-height="1052" /></span><figcaption></figcaption></figure><b>The <a href="/wiki/IP_address" title="IP address">IP address</a> that you are currently using has been blocked because it is believed to be a <a href="/wiki/Web_hosting_service" title="Web hosting service">web host provider</a> or <a href="/wiki/Colocation_centre" title="Colocation centre">colocation provider</a>.</b> To prevent abuse, <a href="/wiki/Wikipedia:Open_proxies" title="Wikipedia:Open proxies">web hosts and colocation providers may be blocked</a> from editing Wikipedia. <div style="border-top: 1px solid #AAA; clear: both">You will not be able to edit Wikipedia using a web host or colocation provider because it hides your IP address, much like a <a href="/wiki/Wikipedia:Open_proxies" title="Wikipedia:Open proxies">proxy</a> or <a href="/wiki/Virtual_private_network" title="Virtual private network">VPN</a>. <p><b>We recommend that you attempt to use another connection to edit.</b> For example, if you use a proxy or VPN to connect to the internet, turn it off when editing Wikipedia. If you edit using a mobile connection, try using a Wi-Fi connection, and vice versa. If you are using a corporate internet connection, switch to a different Wi-Fi network. If you have a Wikipedia account, please log in. </p><p>If you do not have any other way to edit Wikipedia, you will need to <a href="/wiki/Wikipedia:IP_block_exemption#Requesting_and_granting_exemption" title="Wikipedia:IP block exemption">request an IP block exemption</a>. </p> <style data-mw-deduplicate="TemplateStyles:r1214851843">.mw-parser-output .hidden-begin{box-sizing:border-box;width:100%;padding:5px;border:none;font-size:95%}.mw-parser-output .hidden-title{font-weight:bold;line-height:1.6;text-align:left}.mw-parser-output .hidden-content{text-align:left}@media all and (max-width:500px){.mw-parser-output .hidden-begin{width:auto!important;clear:none!important;float:none!important}}</style><div class="hidden-begin mw-collapsible mw-collapsed" style=""><div class="hidden-title skin-nightmode-reset-color" style="text-align:center;">How to appeal if you are confident that your connection does not use a colocation provider's IP address:</div><div class="hidden-content mw-collapsible-content" style=""> If you are confident that you are not using a web host, you may <a href="/wiki/Wikipedia:Appealing_a_block" title="Wikipedia:Appealing a block">appeal this block</a> by adding the following text on your <a href="/wiki/Help:Talk_pages" title="Help:Talk pages">talk page</a>: <code>{{<a href="/wiki/Template:Unblock" title="Template:Unblock">unblock</a>|reason=Caught by a colocation web host block but this host or IP is not a web host. My IP address is _______. <i>Place any further information here.</i> ~~~~}}</code>. <b>You must fill in the blank with your IP address for this block to be investigated.</b> Your IP address can be determined <span class="plainlinks"><b><a class="external text" href="https://en.wikipedia.org/wiki/Wikipedia:Get_my_IP_address?withJS=MediaWiki:Get-my-ip.js">here</a></b></span>. Alternatively, if you wish to keep your IP address private you can use the <a href="/wiki/Wikipedia:Unblock_Ticket_Request_System" title="Wikipedia:Unblock Ticket Request System">unblock ticket request system</a>. There are several reasons you might be editing using the IP address of a web host or colocation provider (such as if you are using VPN software or a business network); please use this method of appeal only if you think your IP address is in fact not a web host or colocation provider.</div></div> <p><span class="sysop-show" style="font-size: 85%;"><span style="border:#707070 solid 1px;background-color:#ffe0e0;padding:2px"><b>Administrators:</b></span> The <a href="/wiki/Wikipedia:IP_block_exemption" title="Wikipedia:IP block exemption">IP block exemption</a> user right should only be applied to allow users to edit using web host in exceptional circumstances, and requests should usually be directed to the functionaries team via email. If you intend to give the IPBE user right, a <a href="/wiki/Wikipedia:CheckUser" title="Wikipedia:CheckUser">CheckUser</a> needs to take a look at the account. This can be requested most easily at <a href="/wiki/Wikipedia:SPI#Quick_CheckUser_requests" class="mw-redirect" title="Wikipedia:SPI">SPI Quick Checkuser Requests</a>. <b>Unblocking</b> an IP or IP range with this template <b>is highly discouraged</b> without at least contacting the blocking administrator.</span> </p> </div></div> </div> <p>This block will expire on 18:23, 24 August 2026. Your current IP address is 8.222.208.146. </p> <div class="paragraphbreak" style="margin-top:0.5em"></div><div style="font-size: 16px;"> <p>Even when blocked, you will <i>usually</i> still be able to edit your <a href="/wiki/Special:MyTalk" title="Special:MyTalk">user talk page</a>, as well as <a href="/wiki/Wikipedia:Emailing_users" title="Wikipedia:Emailing users">email</a> administrators and other editors. </p> </div> <div class="paragraphbreak" style="margin-top:0.5em"></div><div style="font-size: 16px;"> <p>For information on how to proceed, please read the <b><a href="/wiki/Wikipedia:Appealing_a_block#Common_questions" title="Wikipedia:Appealing a block">FAQ for blocked users</a></b> and the <a href="/wiki/Wikipedia:Appealing_a_block" title="Wikipedia:Appealing a block">guideline on block appeals</a>. 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It uses the single char prefix of Irish grid refs to tell the difference, UK grid refs have a two letter prefix. We would like an even number of digits for the rest of the grid ref. Anything in the NGR other than 0-9, A-Z, a-z is eliminated. WARNING this assumes there are no decimal points in your NGR components. The transformation from OSGB36/Ireland 1965 to WGS84 is more precise than 5 m. The function is case insensitive Lat/Long to Ordnance Survey conversion is at bottom of file, see further authorship there ]] local oscoord = {} local getArgs = require('Module:Arguments').getArgs local yesno = require('Module:Yesno') local namespace = mw.title.getCurrentTitle().namespace local pow = math.pow local sqrt = math.sqrt local abs = math.abs local floor = math.floor local ceil = math.ceil local sin = math.sin local cos = math.cos local tan = math.tan local atan = math.atan local deg2rad = math.rad local rad2deg = math.deg --[[ DATUM SHIFT USING HELMERT TRANSFORMATION * * height above the ellipsoid is ignored * latitude and longitude must be given in decimal degrees * * no transformation if abs(latitude)>89 or abs(longitude)>89 * (lifting this restriction requires some more lines of code) * * Written in 2009 by user Telford at de.wikipedia * Based on math described in "A Guide to Coordinate Systems in Great Britain" * by the UK Ordnance Survey * URL: https://www.ordnancesurvey.co.uk/documents/resources/guide-coordinate-systems-great-britain.pdf ]] -- Datum parameters local data = mw.loadData('Module:Ordnance Survey coordinates/data') local OSGBglobe = data.OSGBglobe local IEglobe = data.IEglobe local WGSglobe = data.WGSglobe local WGS2OSGBparam = data.WGS2OSGBparam local OSGB2WGSparam = data.OSGB2WGSparam local IE2WGSparam = data.IE2WGSparam local function HelmertDatumShift ( latitude , longitude, param ) -- latitude and longitude are in degrees -- return if latitude or longitude out of range if abs(latitude) > 89. or abs(longitude) > 89. then return {lat=latitude, lon=longitude} end param = param or WGS2OSGBparam -- parameters for ellipsoids -- Annex A.1, Ordnance Survey document -- local a1 = param.semimajor_src local b1 = param.semiminor_src local e1 = param.ecc_src local a2 = param.semimajor_dst local b2 = param.semiminor_dst local e2 = param.ecc_dst -- convert latitude and longitude to cartesian coordinates -- math in Annex B.1, Ordnance Survey document local phi = deg2rad ( latitude ) local lambda = deg2rad ( longitude ) local cosphi = cos ( phi ) local sinphi = sin ( phi ) local coslambda = cos ( lambda ) local sinlambda = sin ( lambda ) local ny = a1 / sqrt ( 1. - e1*sinphi*sinphi ) local x1 = ny * cosphi * coslambda local y1 = ny * cosphi * sinlambda local z1 = ny * ( 1. - e1 ) * sinphi -- the helmert transformation proper -- Equation 3, Section 6.2, Ordnance Survey document local x2 = x1 + param.tx + ( param.s0 * x1 - param.rz * y1 + param.ry * z1 ) local y2 = y1 + param.ty + ( param.rz * x1 + param.s0 * y1 - param.rx * z1 ) local z2 = z1 + param.tz + ( -param.ry *x1 + param.rx * y1 + param.s0 * z1 ) -- convert cartesian coordinates to latitude and longitude -- math in Annex B.2, of Ordnance Survey document lambda = atan ( y2 / x2 ) local p2 = sqrt ( x2*x2 + y2*y2 ) phi = atan ( z2 / p2*(1.-e2) ) local n0 = 101 local phi_alt repeat phi_alt = phi ny = a2 / sqrt ( 1. - e2 * sin(phi) * sin(phi) ) phi = atan ( (z2 + e2 * ny * sin(phi)) / p2 ) n0 = n0 - 1 until abs ( phi - phi_alt ) <= 0.000000000001 or n0 <= 0 return {lat=rad2deg(phi),lon=rad2deg(lambda)} end -- LAT LONG TO OS GRID LIBRARY RESUMES HERE local function northeast(lett,num,shift) -- split into northings and eastings local le=mw.ustring.len(num) if le%2 == 1 then return {err="Malformed numerical part of NGR"} end local pr=le/2 local n = mw.ustring.sub(num,pr+1) local e = mw.ustring.sub(num,1,pr) -- Hack to move to center of square: append a 5 to northings and eastings shift = yesno(shift) if shift then n = n.."5" e = e.."5" pr = pr+1 end -- end hack n = n == '' and 0 or n e = e == '' and 0 or e pr = pow(10.0,(5.0-pr)) local T1 = mw.ustring.byte(mw.ustring.sub(lett,1,1))-65 if T1>8 then T1 = T1-1 end local T2 = nil if mw.ustring.len(lett)>1 then T2 = mw.ustring.byte(mw.ustring.sub(lett,2))-65 if T2>8 then T2 = T2-1 end end return {n=n,e=e,pr=pr,T1=T1,T2=T2} end local function EN2LL(e,n,datum) local a = datum.semimajor*datum.scale local b = datum.semiminor*datum.scale local lat0rad = deg2rad(datum.lat0) local n1 = datum.n1 local n12 = n1*n1 local n13 = n12*n1 local k=(n-datum.n0)/a+lat0rad local nextcounter=0 local j3, j4, j5, j6, m repeat nextcounter=nextcounter+1 local k3=k-lat0rad local k4=k+lat0rad j3=(1.0+n1+1.25*n12+1.25*n13)*k3 j4=(3.0*n1+3.0*n12+2.625*n13)*sin(k3)*cos(k4) j5=(1.875*n12+1.875*n13)*sin(2.0*k3)*cos(2.0*k4) j6=35.0/24.0*n13*sin(3.0*k3)*cos(3.0*k4) m=b*(j3-j4+j5-j6) k=k+(n-datum.n0-m)/a until abs(n-datum.n0-m)<=0.000000001 or nextcounter>=100 local x = 1.0-datum.ecc*pow(sin(k),2.0) local v=a/sqrt(x) local r=v*(1.0-datum.ecc)/x local h2=v/r-1.0 local y1=e-datum.e0 local tank = tan(k) local tank2 = tank*tank local tank4 = tank2*tank2 local tank6 = tank2*tank4 local cosk = cos(k) local yv = y1/v -- dimensionless quantity in series expansion local yv2 = yv*yv local yv3 = yv*yv2 local yv5 = yv3*yv2 local yv7 = yv5*yv2 j3=tank/(2.0*r) j4=tank/(24.0*r)*(5.0+3.0*tank2+h2-9.0*tank2*h2) j5=tank/(720.0*r)*(61.0+90.0*tank2+45.0*tank4) local k9=k-y1*(yv*j3+yv3*j4-yv5*j5) j6=1.0/(cosk) local j7=1.0/(cosk*6.0)*(v/r+2.0*tank2) local j8=1.0/(cosk*120.0)*(5.0+28.0*tank2+24.0*tank4) local j9=1.0/(cosk*5040.0) j9=j9*(61.0+662.0*tank2+1320.0*tank4+720.0*tank6) local long=datum.lon0+rad2deg(yv*j6-yv3*j7+yv5*j8-yv7*j9) local lat=rad2deg(k9) return {lat=lat,lon=long} end local function GBEN2LL(e,n) local latlong = EN2LL(e,n,OSGBglobe) local helmert = HelmertDatumShift ( latlong.lat, latlong.lon, OSGB2WGSparam) return {region="GB",lat=helmert.lat,long=helmert.lon} end local function GB2LL(lett,num) -- British OS to Lat+Long -- first caclulate e,n -- computing e and n exactly, to get SW corner of box local ne = northeast(lett,num) if ne.err then return {region="GB",err=ne.err} end -- use British definition of e and n local e=500000.0*(ne.T1%5)+100000.0*(ne.T2%5)-1000000.0+ne.e*ne.pr local n=1900000.0-500000.0*floor(ne.T1/5)-100000.0*floor(ne.T2/5)+ne.n*ne.pr local result = GBEN2LL(e,n) result.prec = 0.8165*ne.pr return result end local function IrishEN2LL(e,n) local latlong = EN2LL(e,n,IEglobe) local helmert = HelmertDatumShift ( latlong.lat, latlong.lon, IE2WGSparam) return {region="IE",lat=helmert.lat,long=helmert.lon} end local function Irish2LL(lett,num) -- Irish OS to Lat+Long -- first caclulate e,n -- computing e and n exactly, to get SW corner of box local ne = northeast(lett,num) if ne.err then return {region="IE", err=ne.err} end -- use Irish definition of northing and easting local e=100000.0*(ne.T1%5.0)+ne.e*ne.pr local n=ne.n*ne.pr+100000.0*(4.0-floor(ne.T1/5.0)) local result = IrishEN2LL(e,n) result.prec = 0.8165*ne.pr -- useful @ Commons return result end local function empty(s) return not s or s == '' end local function NGR2LL(ngr) local result = {} local _ = 0 ngr, _ = mw.ustring.gsub(mw.ustring.upper(ngr),"[%s%p]","") local first, last, lett, num = mw.ustring.find(ngr,"^([A-Z]+)(%d+)$") if not first or empty(lett) or empty(num) or mw.ustring.len(lett) > 2 then return {err="Malformed NGR"} end if mw.ustring.len(lett) == 1 then return Irish2LL(lett,num) end return GB2LL(lett, num) end local function split(s,sep) -- split a string s into chunks, separated by sep sep = sep or "%s" local t = {} for chunk in mw.ustring.gmatch(s,"([^"..sep.."]+)") do table.insert(t,chunk) end return t end local function trim(s) local _ = 0 s, _ = mw.ustring.gsub(s,"^%s+","") s, _ = mw.ustring.gsub(s,"%s+$","") return s end local function alldigits(s) return not mw.ustring.find(s,"%D") end local function warning(errmsg) local preview = require('Module:If preview') local msg = errmsg or 'Empty OS grid ref' local html = preview._warning({ msg }) if namespace == 0 and errmsg then html = html..'[[Category:Pages with malformed OS coordinates]]' end return html end -- generate URL of geohack map local function geohack(main_args, other_args, LL) -- create geohack link. Example: -- https://geohack.toolforge.org/geohack.php?pagename=Mount_Whitney&params=36.578580925_N_118.29199495_W_type:mountain_region:US-CA_scale:100000_source:NGS local url = 'https://geohack.toolforge.org/geohack.php?' local input = main_args[1] local namearg = main_args["name"] local current_page = mw.title.getCurrentTitle() local pagename = mw.uri.encode( current_page.prefixedText, 'WIKI' ) if not empty(pagename) then url = url..'pagename='..pagename..'&' end url = url..'params='..mw.ustring.format('%.6f',LL.lat)..'_N_' if LL.long < 0 then url = url..mw.ustring.format('%.6f',-LL.long)..'_W' else url = url..mw.ustring.format('%.6f',LL.long)..'_E' end for _, a in ipairs(other_args) do url = url..'_'..a end if not mw.ustring.find(input,"region") and LL.region then url = url..'_region:'..LL.region end if not mw.ustring.find(input,"scale") and not mw.ustring.find(input,"type") and not mw.ustring.find(input,"dim") and LL.prec then url = url..'_dim:'..floor(50*LL.prec+0.5)..'m' end if not empty(namearg) then url = url .. "&title=" .. mw.uri.encode(namearg) end return url end -- function to generate direct link to OS map local function directLink(main_args, other_args, LL) -- create link to Bing server for OS maps. Example: -- https://www.bing.com/maps/?mkt=en-gb&v=2&cp=56.796026%7E-5.01307&lvl=16.0&sp=Point.56.796029_-5.004711_Ben+Nevis&sty=s&style=s local current_page = mw.title.getCurrentTitle() local namearg = mw.uri.encode( main_args["name"] or current_page.prefixedText, 'QUERY' ) local args = {} for _, a in ipairs(other_args) do local splitOut = mw.text.split(a, ':', true) args[splitOut[1]] = splitOut[2] end if not args.scale and not args.type and not args.dim then args.dim = LL.prec and tostring(floor(50*LL.prec+0.5))..'m' end args.viewport_cm = 10 local zoom = require('Module:Infobox dim')._zoom local lvl = zoom(args) or 12 local url = mw.ustring.format('https://www.bing.com/maps/?mkt=en-gb&v=2&cp=%.6f~%.6f&lvl=%d&sp=Point.%.6f_%.6f',LL.lat,LL.long,lvl,LL.lat,LL.long) if not empty(namearg) then url = url..'_'..namearg end url = url..'&sty=s&style=s' return url end function oscoord._main(main_args) local input = main_args[1] if empty(input) then return warning(nil) end local linktitle = main_args[2] local rawurl = yesno(main_args["rawurl"]) local direct = yesno(main_args["direct"]) local args = split(input,'_') local LL local restargs = 1 if #args >= 2 and alldigits(args[2]) then if mw.ustring.sub(args[1],1,1) == 'i' then local firstArg = mw.ustring.sub(args[1],2) if alldigits(firstArg) then LL = IrishEN2LL(firstArg,args[2]) restargs = 3 if empty(linktitle) then linktitle=args[1]..'_'..args[2] end end elseif alldigits(args[1]) then LL = GBEN2LL(args[1],args[2]) restargs = 3 if empty(linktitle) then linktitle=args[1]..'_'..args[2] end end else LL = NGR2LL(args[1]) restargs = 2 if empty(linktitle) then linktitle=args[1] end end linktitle = trim(linktitle) if not empty(LL.err) then return linktitle ..warning(LL.err) end LL.lat = LL.lat or 0 LL.long = LL.long or 0 LL.lat = ceil(LL.lat*1000000)/1000000 LL.long = ceil(LL.long*1000000)/1000000 local other_args = {} for i = restargs, #args do table.insert(other_args, args[i]) end local url if not direct then url = geohack(main_args, other_args, LL) else url = directLink(main_args, other_args, LL) end if not rawurl then url = '['..url..' '..linktitle..']' end return url end function oscoord._oscoord(args) local output = '<span class="plainlinks nourlexpansion" style="white-space: nowrap">' .. oscoord._main(args) .. '</span>' if namespace == 0 then output = output .. '[[Category:Articles with OS grid coordinates]]' end return output end function oscoord.main(frame) local args = getArgs(frame) return oscoord._main(args) end function oscoord.oscoord(frame) local args = getArgs(frame) return oscoord._oscoord(args) end --[[ ****** LAT/LONG CONVERSION TO OS GRID REF FUNCTIONS ***** * Uses the WGS-84 ellipsoid and only works for GB grid ref * * See also: * http://www.posc.org/Epicentre.2_2/DataModel/ExamplesofUsage/eu_cs34h.html * http://kanadier.gps-info.de/d-utm-gitter.htm * http://www.gpsy.com/gpsinfo/geotoutm/ * http://www.colorado.edu/geography/gcraft/notes/gps/gps_f.html * http://search.cpan.org/src/GRAHAMC/Geo-Coordinates-UTM-0.05/ * UK Ordnance Survey grid (OSBG36): http://www.gps.gov.uk/guidecontents.asp * Swiss CH1903: http://www.gps.gov.uk/guidecontents.asp * * ---------------------------------------------------------------------- * * Copyright 2005, Egil Kvaleberg <egil@kvaleberg.no> * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 2 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA Converted to Lua by User:Hike395 on 2023-12-15 ]] local function find_M ( lat_rad ) local e = OSGBglobe.ecc local e2 = e*e local e3 = e*e*e return OSGBglobe.semimajor * ( ( 1 - e/4 - 3 * e2/64 - 5 * e3/256 ) * lat_rad - ( 3 * e/8 + 3 * e2/32 + 45 * e3/1024 ) * sin(2 * lat_rad) + ( 15 * e2/256 + 45 * e3/1024 ) * sin(4 * lat_rad) - ( 35 * e3/3072 ) * sin(6 * lat_rad) ) end --[[ * Convert latitude, longitude in decimal degrees to * Transverse Mercator Easting and Northing based on a GB origin * * return nil if problems ]] local function LatLonOrigin2TM( latitude, longitude ) if longitude < -180 or longitude > 180 or latitude < -80 or latitude > 84 then return nil end local longitude2 = longitude - floor((longitude + 180)/360) * 360 local lat_rad = deg2rad( latitude ) local e = OSGBglobe.ecc local e_prime_sq = e / (1-e) local v = OSGBglobe.semimajor / sqrt(1 - e * sin(lat_rad)*sin(lat_rad)) local tank = tan(lat_rad) local T = tank*tank local T2 = T*T local C = e_prime_sq * pow( cos(lat_rad), 2) local A = deg2rad( longitude2 -OSGBglobe.lon0 ) * cos(lat_rad) local A2 = A*A local A3 = A2*A local A4 = A2*A2 local A5 = A3*A2 local A6 = A3*A3 local M = find_M( lat_rad ) local M0 = 0.0 if latitude_origin ~= 0 then M0 = find_M(deg2rad( OSGBglobe.lat0 )) end local northing = OSGBglobe.n0 + OSGBglobe.scale * ( (M - M0) + v*tan(lat_rad) * ( A2/2 + (5 - T + 9*C + 4*C*C) * A4/24 + (61 - 58*T + T2 + 600*C - 330*e_prime_sq) * A6/720 )) local easting = OSGBglobe.e0 + OSGBglobe.scale * v * ( A + (1-T+C)*A3/6 + (5 - 18*T + T2 + 72*C - 58 * e_prime_sq)*A5/120 ) return {northing=northing,easting=easting} end --[[ * Convert latitude, longitude in decimal degrees to * OSBG36 Easting and Northing ]] local function LatLon2OSGB36( latlon, prec ) local tm = LatLonOrigin2TM(latlon.lat, latlon.lon) if not tm then return '' end if not tonumber(prec) then prec = 5 end prec = floor(prec+0.5) if prec > 5 then prec = 5 end if prec < 1 then prec = 1 end -- fix by Roger W Haworth local grid_x = floor( tm.easting / 100000 ) local grid_y = floor( tm.northing / 100000 ) if grid_x < 0 or grid_x > 6 or grid_y < 0 or grid_y > 12 then return '' end -- 0000000001111111111222222 -- 1234567890123456789012345 local letters = "ABCDEFGHJKLMNOPQRSTUVWXYZ" local indx1 = 18-floor(grid_y/5)*5+floor(grid_x/5) local indx2 = 21-(grid_y%5)*5+grid_x%5 local c1 = mw.ustring.sub(letters,indx1,indx1) local c2 = mw.ustring.sub(letters,indx2,indx2) local easting = tm.easting%100000 local northing = tm.northing%100000 local grid = pow(10.0,5.0-prec) easting = floor(easting/grid) northing = floor(northing/grid) local fmt = '%0'..prec..'d' local e = mw.ustring.format(fmt, easting) local n = mw.ustring.format(fmt, northing) return c1..c2..e..n end function oscoord._WGS2OSGB(lat,lon,prec) return LatLon2OSGB36(HelmertDatumShift(lat,lon,WGS2OSGBparam),prec) end function oscoord.WGS2OSGB(frame) local args = getArgs(frame) return args[1] and args[2] and oscoord._WGS2OSGB(args[1],args[2],args[3]) or '' end function oscoord.LL2OS(frame) local args = getArgs(frame) if not args[1] or not args[2] then return '' end local gridRef = oscoord._WGS2OSGB(args[1],args[2],args.prec) if not gridRef or #gridRef == 0 then return '' end if args[3] then gridRef = gridRef..'_'..args[3] end return oscoord._oscoord({gridRef,args.linktitle,name=args.name}) end return oscoord </textarea><div id="mw-scribunto-console"></div><div class="templatesUsed"><div class="mw-templatesUsedExplanation"><p><span id="templatesused">Pages transcluded onto the current version of this page<span class="posteditwindowhelplinks"> (<a href="/wiki/Help:Transclusion" title="Help:Transclusion">help</a>)</span>:</span> </p></div><ul> <li><a href="/wiki/Template:Category_link_with_count" 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