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တူၺ်းငဝ်ႈငႃႇ တွၼ်ႈတႃႇ မေႃႇၵျူး:Math - ဝီႇၶီႇၽီးတီးယႃး
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href="/w/index.php?title=%E1%81%B6%E1%80%AD%E1%80%AF%E1%81%B5%E1%80%BA%E1%82%89%E1%80%90%E1%80%BD%E1%81%BC%E1%80%BA%E1%80%B8:%E1%81%B5%E1%80%B1%E1%82%83%E1%82%87%E1%80%9E%E1%81%A2%E1%80%84%E1%80%BA%E1%82%88%E1%80%A2%E1%81%B6%E1%80%BD%E1%80%84%E1%80%BA%E1%82%89&returnto=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8%3AMath&returntoquery=action%3Dedit" title="ၸဝ်ႈၵဝ်ႇထုၵ်ႇပၼ်ႁႅင်း တွၼ်ႈတႃႇၵေႃႇသၢင်ႈ ဢၶွင်ႉလႄႈ လွၵ်ႉၶဝ်ႈ။ ႁူမ်ႈဝႃႈၼၼ်သေတႃႉ ဢမ်ႇၸႂ်ႈဝႃႈ ဢမ်ႇႁဵတ်းဢမ်ႇလႆႈၼင်ႇၵဝ်ႇ။" class=""><span>ၵေႃႇသၢင်ႈဢၶွင်ႉ</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E1%81%B6%E1%80%AD%E1%80%AF%E1%81%B5%E1%80%BA%E1%82%89%E1%80%90%E1%80%BD%E1%81%BC%E1%80%BA%E1%80%B8:%E1%80%9C%E1%80%BD%E1%81%B5%E1%80%BA%E1%82%89%E1%80%A2%E1%80%AD%E1%81%BC%E1%80%BA%E1%82%87%E1%81%BD%E1%80%B0%E1%82%88%E1%81%B8%E1%82%82%E1%80%BA%E1%82%89%E1%80%90%E1%80%AD%E1%80%AF%E1%80%9D%E1%80%BA%E1%80%B8&returnto=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8%3AMath&returntoquery=action%3Dedit" title="ဢမ်ႇလွၵ်ႉဢိၼ်ႇၵေႃႈမူၼ်ႉမႄးလႆႈ ၵူၺ်း တိုၵ်းသူၼ်းႁႂ်ႈလွၵ်ႉဢိၼ်ႇ [o]" accesskey="o" class=""><span>လွၵ်ႉၶဝ်ႈ</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="More options" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="ၶိူင်ႈသုၼ်ႇလဵဝ်" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">ၶိူင်ႈသုၼ်ႇလဵဝ်</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=shn.wikipedia.org&uselang=shn"><span>လူႇတၢၼ်း</span></a></li><li id="pt-contribute" class="mw-list-item"><a href="/wiki/%E1%81%B6%E1%80%AD%E1%80%AF%E1%81%B5%E1%80%BA%E1%82%89%E1%80%90%E1%80%BD%E1%81%BC%E1%80%BA%E1%80%B8:Contribute"><span class="vector-icon mw-ui-icon-edit mw-ui-icon-wikimedia-edit"></span> <span>Contribute</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%81%B6%E1%80%AD%E1%80%AF%E1%81%B5%E1%80%BA%E1%82%89%E1%80%90%E1%80%BD%E1%81%BC%E1%80%BA%E1%80%B8:%E1%81%B5%E1%80%B1%E1%82%83%E1%82%87%E1%80%9E%E1%81%A2%E1%80%84%E1%80%BA%E1%82%88%E1%80%A2%E1%81%B6%E1%80%BD%E1%80%84%E1%80%BA%E1%82%89&returnto=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8%3AMath&returntoquery=action%3Dedit" title="ၸဝ်ႈၵဝ်ႇထုၵ်ႇပၼ်ႁႅင်း တွၼ်ႈတႃႇၵေႃႇသၢင်ႈ ဢၶွင်ႉလႄႈ လွၵ်ႉၶဝ်ႈ။ ႁူမ်ႈဝႃႈၼၼ်သေတႃႉ ဢမ်ႇၸႂ်ႈဝႃႈ ဢမ်ႇႁဵတ်းဢမ်ႇလႆႈၼင်ႇၵဝ်ႇ။"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>ၵေႃႇသၢင်ႈဢၶွင်ႉ</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%81%B6%E1%80%AD%E1%80%AF%E1%81%B5%E1%80%BA%E1%82%89%E1%80%90%E1%80%BD%E1%81%BC%E1%80%BA%E1%80%B8:%E1%80%9C%E1%80%BD%E1%81%B5%E1%80%BA%E1%82%89%E1%80%A2%E1%80%AD%E1%81%BC%E1%80%BA%E1%82%87%E1%81%BD%E1%80%B0%E1%82%88%E1%81%B8%E1%82%82%E1%80%BA%E1%82%89%E1%80%90%E1%80%AD%E1%80%AF%E1%80%9D%E1%80%BA%E1%80%B8&returnto=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8%3AMath&returntoquery=action%3Dedit" title="ဢမ်ႇလွၵ်ႉဢိၼ်ႇၵေႃႈမူၼ်ႉမႄးလႆႈ ၵူၺ်း တိုၵ်းသူၼ်းႁႂ်ႈလွၵ်ႉဢိၼ်ႇ [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>လွၵ်ႉၶဝ်ႈ</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Pages for logged out editors <a href="/wiki/%E1%80%9C%E1%80%BD%E1%80%84%E1%80%BA%E1%82%88%E1%81%B8%E1%80%BD%E1%82%86%E1%82%88%E1%80%91%E1%82%85%E1%80%99%E1%80%BA:Introduction" aria-label="Learn more about editing"><span>learn more</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E1%81%B6%E1%80%AD%E1%80%AF%E1%81%B5%E1%80%BA%E1%82%89%E1%80%90%E1%80%BD%E1%81%BC%E1%80%BA%E1%80%B8:%E1%80%9C%E1%80%BD%E1%80%84%E1%80%BA%E1%82%88%E1%80%A2%E1%80%AF%E1%80%95%E1%80%BA%E1%82%87%E1%81%B5%E1%80%AF%E1%80%99%E1%80%BA%E1%81%B5%E1%80%9D%E1%80%BA%E1%81%B6%E1%82%83%E1%82%88" title="လွင်ႈဢုပ်ႇဢူဝ်း ၵပ်းၵၢႆႇလွင်ႈမႄးထတ်း ၵႃႈတီႈ ႁဵင်းလိၵ်ႈဢၢႆႇၽီႇဢၼ်ၼႆႉ [n]" accesskey="n"><span>ဢုပ်ႇ</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <h1 id="firstHeading" class="firstHeading mw-first-heading">တူၺ်းငဝ်ႈငႃႇ တွၼ်ႈတႃႇ မေႃႇၵျူး:Math</h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="This article exist only in this language. Add the article for other languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-0" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">ထႅမ်သႂ်ႇ ၽႃႇသႃႇ</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> <div class="after-portlet after-portlet-lang"><span class="uls-after-portlet-link"></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="ဢွင်ႈတီႈၸိုဝ်ႈ"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-module" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Math" title="View the module page [c]" accesskey="c"><span>Module</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%80%A2%E1%80%AF%E1%80%95%E1%80%BA%E1%82%87%E1%81%B5%E1%80%AF%E1%80%99%E1%80%BA_%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Math&action=edit&redlink=1" rel="discussion" class="new" title="ၼႃႈလိၵ်ႈ ဢုပ်ႇဢူဝ်းလွင်ႈပႃးဝႆႉၼႂ်းၼႃႈလိၵ်ႈ ၼႆႉ ဢမ်ႇမီးဝႆႉ [t]" accesskey="t"><span>လွင်ႈဢုပ်ႇဢူဝ်း</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Change language variant" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">English</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="တူၺ်း"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="vector-tab-noicon mw-list-item"><a href="/wiki/%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Math"><span>လူတူၺ်း</span></a></li><li id="ca-edit" class="selected vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Math&action=edit" title="Edit the source code of this page"><span>မႄးထတ်းငဝ်ႈငႃႇ</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Math&action=history" title="လွင်ႈၶူၼ်ႉၶႆႈဢၼ်ပူၼ်ႉမႃး တႃႇၼႃႈလိၵ်ႈၼႆႉ [h]" accesskey="h"><span>တူၺ်းပိုၼ်း</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="ၶိူင်ႈၵမ်ႉၵႅမ်" > <label id="vector-page-tools-dropdown-label" 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The blocked range is 8.222.128.0/17. </p><p>တီႈၵၢၼ်ၶူၼ်ႉႁႃ ဢၼ်ၸဝ်ႈၵဝ်ႇႁဵတ်း ဢၼ်လႂ်သေဢမ်ႇဝႃႈ ၶႅၼ်းတေႃႈ သႂ်ႇပၼ်ပႃး လွင်ႈတၢင်းႁူဝ်ယွႆႈ ၼင်ႇ ၽၢႆႇၼိူဝ်ၼႆႉတင်းသဵင်ႈတႃႉ။ If you believe you were blocked by mistake, you can find additional information and instructions in the <a href="https://meta.wikimedia.org/wiki/Special:MyLanguage/No_open_proxies" class="extiw" title="m:Special:MyLanguage/No open proxies">No open proxies</a> global policy. </p> Otherwise, to discuss the block please <a href="https://meta.wikimedia.org/wiki/Steward_requests/Global" class="extiw" title="m:Steward requests/Global">post a request for review on Meta-Wiki</a>. You could also send an email to the <a href="https://meta.wikimedia.org/wiki/Special:MyLanguage/Stewards" class="extiw" title="m:Special:MyLanguage/Stewards">stewards</a> <a href="https://meta.wikimedia.org/wiki/Special:MyLanguage/VRT" class="extiw" title="m:Special:MyLanguage/VRT">VRT</a> queue at <kbd>stewards@wikimedia.org</kbd> including all above details.</div></div><hr /> <p>ၸဝ်ႈၵဝ်ႇ ၸၢင်ႈတူၺ်း သေ ထုတ်ႇဢဝ်လႆႈ ငဝ်ႈငႃႇ တႃႇၼႃႈလိၵ်ႈၼႆႉ </p><textarea readonly="" accesskey="," id="wpTextbox1" cols="80" rows="25" style="" class="mw-editfont-monospace" lang="en" dir="ltr" name="wpTextbox1">--[[ This module provides a number of basic mathematical operations. ]] local yesno, getArgs -- lazily initialized local p = {} -- Holds functions to be returned from #invoke, and functions to make available to other Lua modules. local wrap = {} -- Holds wrapper functions that process arguments from #invoke. These act as intemediary between functions meant for #invoke and functions meant for Lua. --[[ Helper functions used to avoid redundant code. ]] local function err(msg) -- Generates wikitext error messages. return mw.ustring.format('<strong class="error">Formatting error: %s</strong>', msg) end local function unpackNumberArgs(args) -- Returns an unpacked list of arguments specified with numerical keys. local ret = {} for k, v in pairs(args) do if type(k) == 'number' then table.insert(ret, v) end end return unpack(ret) end local function makeArgArray(...) -- Makes an array of arguments from a list of arguments that might include nils. local args = {...} -- Table of arguments. It might contain nils or non-number values, so we can't use ipairs. local nums = {} -- Stores the numbers of valid numerical arguments. local ret = {} for k, v in pairs(args) do v = p._cleanNumber(v) if v then nums[#nums + 1] = k args[k] = v end end table.sort(nums) for i, num in ipairs(nums) do ret[#ret + 1] = args[num] end return ret end local function fold(func, ...) -- Use a function on all supplied arguments, and return the result. The function must accept two numbers as parameters, -- and must return a number as an output. This number is then supplied as input to the next function call. local vals = makeArgArray(...) local count = #vals -- The number of valid arguments if count == 0 then return -- Exit if we have no valid args, otherwise removing the first arg would cause an error. nil, 0 end local ret = table.remove(vals, 1) for _, val in ipairs(vals) do ret = func(ret, val) end return ret, count end --[[ Fold arguments by selectively choosing values (func should return when to choose the current "dominant" value). ]] local function binary_fold(func, ...) local value = fold((function(a, b) if func(a, b) then return a else return b end end), ...) return value end --[[ random Generate a random number Usage: {{#invoke: Math | random }} {{#invoke: Math | random | maximum value }} {{#invoke: Math | random | minimum value | maximum value }} ]] function wrap.random(args) local first = p._cleanNumber(args[1]) local second = p._cleanNumber(args[2]) return p._random(first, second) end function p._random(first, second) math.randomseed(mw.site.stats.edits + mw.site.stats.pages + os.time() + math.floor(os.clock() * 1000000000)) -- math.random will throw an error if given an explicit nil parameter, so we need to use if statements to check the params. if first and second then if first <= second then -- math.random doesn't allow the first number to be greater than the second. return math.random(first, second) end elseif first then return math.random(first) else return math.random() end end --[[ order Determine order of magnitude of a number Usage: {{#invoke: Math | order | value }} ]] function wrap.order(args) local input_string = (args[1] or args.x or '0'); local input_number = p._cleanNumber(input_string); if input_number == nil then return err('order of magnitude input appears non-numeric') else return p._order(input_number) end end function p._order(x) if x == 0 then return 0 end return math.floor(math.log10(math.abs(x))) end --[[ precision Detemines the precision of a number using the string representation Usage: {{ #invoke: Math | precision | value }} ]] function wrap.precision(args) local input_string = (args[1] or args.x or '0'); local trap_fraction = args.check_fraction; local input_number; if not yesno then yesno = require('Module:Yesno') end if yesno(trap_fraction, true) then -- Returns true for all input except nil, false, "no", "n", "0" and a few others. See [[Module:Yesno]]. local pos = string.find(input_string, '/', 1, true); if pos ~= nil then if string.find(input_string, '/', pos + 1, true) == nil then local denominator = string.sub(input_string, pos+1, -1); local denom_value = tonumber(denominator); if denom_value ~= nil then return math.log10(denom_value); end end end end input_number, input_string = p._cleanNumber(input_string); if input_string == nil then return err('precision input appears non-numeric') else return p._precision(input_string) end end function p._precision(x) if type(x) == 'number' then x = tostring(x) end x = string.upper(x) local decimal = x:find('%.') local exponent_pos = x:find('E') local result = 0; if exponent_pos ~= nil then local exponent = string.sub(x, exponent_pos + 1) x = string.sub(x, 1, exponent_pos - 1) result = result - tonumber(exponent) end if decimal ~= nil then result = result + string.len(x) - decimal return result end local pos = string.len(x); while x:byte(pos) == string.byte('0') do pos = pos - 1 result = result - 1 if pos <= 0 then return 0 end end return result end --[[ max Finds the maximum argument Usage: {{#invoke:Math| max | value1 | value2 | ... }} Note, any values that do not evaluate to numbers are ignored. ]] function wrap.max(args) return p._max(unpackNumberArgs(args)) end function p._max(...) local max_value = binary_fold((function(a, b) return a > b end), ...) if max_value then return max_value end end --[[ min Finds the minimum argument Usage: {{#invoke:Math| min | value1 | value2 | ... }} OR {{#invoke:Math| min }} When used with no arguments, it takes its input from the parent frame. Note, any values that do not evaluate to numbers are ignored. ]] function wrap.min(args) return p._min(unpackNumberArgs(args)) end function p._min(...) local min_value = binary_fold((function(a, b) return a < b end), ...) if min_value then return min_value end end --[[ average Finds the average Usage: {{#invoke:Math| average | value1 | value2 | ... }} OR {{#invoke:Math| average }} Note, any values that do not evaluate to numbers are ignored. ]] function wrap.average(args) return p._average(unpackNumberArgs(args)) end function p._average(...) local sum, count = fold((function(a, b) return a + b end), ...) if not sum then return 0 else return sum / count end end --[[ round Rounds a number to specified precision Usage: {{#invoke:Math | round | value | precision }} --]] function wrap.round(args) local value = p._cleanNumber(args[1] or args.value or 0) local precision = p._cleanNumber(args[2] or args.precision or 0) if value == nil or precision == nil then return err('round input appears non-numeric') else return p._round(value, precision) end end function p._round(value, precision) local rescale = math.pow(10, precision or 0); return math.floor(value * rescale + 0.5) / rescale; end --[[ mod Implements the modulo operator Usage: {{#invoke:Math | mod | x | y }} --]] function wrap.mod(args) local x = p._cleanNumber(args[1]) local y = p._cleanNumber(args[2]) if not x then return err('first argument to mod appears non-numeric') elseif not y then return err('second argument to mod appears non-numeric') else return p._mod(x, y) end end function p._mod(x, y) local ret = x % y if not (0 <= ret and ret < y) then ret = 0 end return ret end --[[ gcd Calculates the greatest common divisor of multiple numbers Usage: {{#invoke:Math | gcd | value 1 | value 2 | value 3 | ... }} --]] function wrap.gcd(args) return p._gcd(unpackNumberArgs(args)) end function p._gcd(...) local function findGcd(a, b) local r = b local oldr = a while r ~= 0 do local quotient = math.floor(oldr / r) oldr, r = r, oldr - quotient * r end if oldr < 0 then oldr = oldr * -1 end return oldr end local result, count = fold(findGcd, ...) return result end --[[ precision_format Rounds a number to the specified precision and formats according to rules originally used for {{template:Rnd}}. Output is a string. Usage: {{#invoke: Math | precision_format | number | precision }} ]] function wrap.precision_format(args) local value_string = args[1] or 0 local precision = args[2] or 0 return p._precision_format(value_string, precision) end function p._precision_format(value_string, precision) -- For access to Mediawiki built-in formatter. local lang = mw.getContentLanguage(); local value value, value_string = p._cleanNumber(value_string) precision = p._cleanNumber(precision) -- Check for non-numeric input if value == nil or precision == nil then return err('invalid input when rounding') end local current_precision = p._precision(value) local order = p._order(value) -- Due to round-off effects it is neccesary to limit the returned precision under -- some circumstances because the terminal digits will be inaccurately reported. if order + precision >= 14 then orig_precision = p._precision(value_string) if order + orig_precision >= 14 then precision = 13 - order; end end -- If rounding off, truncate extra digits if precision < current_precision then value = p._round(value, precision) current_precision = p._precision(value) end local formatted_num = lang:formatNum(math.abs(value)) local sign -- Use proper unary minus sign rather than ASCII default if value < 0 then sign = '−' else sign = '' end -- Handle cases requiring scientific notation if string.find(formatted_num, 'E', 1, true) ~= nil or math.abs(order) >= 9 then value = value * math.pow(10, -order) current_precision = current_precision + order precision = precision + order formatted_num = lang:formatNum(math.abs(value)) else order = 0; end formatted_num = sign .. formatted_num -- Pad with zeros, if needed if current_precision < precision then local padding if current_precision <= 0 then if precision > 0 then local zero_sep = lang:formatNum(1.1) formatted_num = formatted_num .. zero_sep:sub(2,2) padding = precision if padding > 20 then padding = 20 end formatted_num = formatted_num .. string.rep('0', padding) end else padding = precision - current_precision if padding > 20 then padding = 20 end formatted_num = formatted_num .. string.rep('0', padding) end end -- Add exponential notation, if necessary. if order ~= 0 then -- Use proper unary minus sign rather than ASCII default if order < 0 then order = '−' .. lang:formatNum(math.abs(order)) else order = lang:formatNum(order) end formatted_num = formatted_num .. '<span style="margin:0 .15em 0 .25em">×</span>10<sup>' .. order .. '</sup>' end return formatted_num end --[[ Helper function that interprets the input numerically. If the input does not appear to be a number, attempts evaluating it as a parser functions expression. ]] function p._cleanNumber(number_string) if type(number_string) == 'number' then -- We were passed a number, so we don't need to do any processing. return number_string, tostring(number_string) elseif type(number_string) ~= 'string' or not number_string:find('%S') then -- We were passed a non-string or a blank string, so exit. return nil, nil; end -- Attempt basic conversion local number = tonumber(number_string) -- If failed, attempt to evaluate input as an expression if number == nil then local success, result = pcall(mw.ext.ParserFunctions.expr, number_string) if success then number = tonumber(result) number_string = tostring(number) else number = nil number_string = nil end else number_string = number_string:match("^%s*(.-)%s*$") -- String is valid but may contain padding, clean it. number_string = number_string:match("^%+(.*)$") or number_string -- Trim any leading + signs. if number_string:find('^%-?0[xX]') then -- Number is using 0xnnn notation to indicate base 16; use the number that Lua detected instead. number_string = tostring(number) end end return number, number_string end --[[ Wrapper function that does basic argument processing. This ensures that all functions from #invoke can use either the current frame or the parent frame, and it also trims whitespace for all arguments and removes blank arguments. ]] local mt = { __index = function(t, k) return function(frame) if not getArgs then getArgs = require('Module:Arguments').getArgs end return wrap[k](getArgs(frame)) -- Argument processing is left to Module:Arguments. Whitespace is trimmed and blank arguments are removed. end end } return setmetatable(p, mt) </textarea><div id="mw-scribunto-console"></div><div class="templatesUsed"><div class="mw-templatesUsedExplanation"><p>ထႅမ်းပလဵၵ်ႉ ၸိူဝ်းၸႂ်ႉဝႆႉ တီႈၼႃႈလိၵ်ႈၼႆႉ: </p></div><ul> <li><a href="/wiki/%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Arguments" title="မေႃႇၵျူး:Arguments">မေႃႇၵျူး:Arguments</a> (<a href="/w/index.php?title=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Arguments&action=edit" title="မေႃႇၵျူး:Arguments">မႄးထတ်း</a>) </li><li><a href="/wiki/%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Documentation" title="မေႃႇၵျူး:Documentation">မေႃႇၵျူး:Documentation</a> (<a href="/w/index.php?title=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Documentation&action=edit" title="မေႃႇၵျူး:Documentation">မႄးထတ်း</a>) </li><li><a href="/wiki/%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Documentation/config" title="မေႃႇၵျူး:Documentation/config">မေႃႇၵျူး:Documentation/config</a> (<a href="/w/index.php?title=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Documentation/config&action=edit" title="မေႃႇၵျူး:Documentation/config">မႄးထတ်း</a>) </li><li><a href="/w/index.php?title=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Math/doc&action=edit&redlink=1" class="new" title="ၼႃႈလိၵ်ႈ မေႃႇၵျူး:Math/doc ၼႆႉ ဢမ်ႇမီးဝႆႉ">မေႃႇၵျူး:Math/doc</a> (<a href="/w/index.php?title=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Math/doc&action=edit" class="new" title="ၼႃႈလိၵ်ႈ မေႃႇၵျူး:Math/doc ၼႆႉ ဢမ်ႇမီးဝႆႉ">မႄးထတ်း</a>) </li><li><a href="/wiki/%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Message_box" title="မေႃႇၵျူး:Message box">မေႃႇၵျူး:Message box</a> (<a href="/w/index.php?title=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Message_box&action=edit" title="မေႃႇၵျူး:Message box">မႄးထတ်း</a>) </li><li><a href="/wiki/%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Message_box/configuration" title="မေႃႇၵျူး:Message box/configuration">မေႃႇၵျူး:Message box/configuration</a> (<a href="/w/index.php?title=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Message_box/configuration&action=edit" title="မေႃႇၵျူး:Message box/configuration">မႄးထတ်း</a>) </li><li><a href="/wiki/%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Message_box/fmbox.css" title="မေႃႇၵျူး:Message box/fmbox.css">မေႃႇၵျူး:Message box/fmbox.css</a> (<a href="/w/index.php?title=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Message_box/fmbox.css&action=edit" title="မေႃႇၵျူး:Message box/fmbox.css">မႄးထတ်း</a>) </li><li><a href="/wiki/%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Yesno" title="မေႃႇၵျူး:Yesno">မေႃႇၵျူး:Yesno</a> (<a href="/w/index.php?title=%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Yesno&action=edit" title="မေႃႇၵျူး:Yesno">မႄးထတ်း</a>) </li></ul></div><p id="mw-returnto">ၶိုၼ်းဝၢႆႇၸူး <a href="/wiki/%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Math" title="မေႃႇၵျူး:Math">မေႃႇၵျူး:Math</a>.</p> <!--esi <esi:include src="/esitest-fa8a495983347898/content" /> --><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; 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