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http://itchan.official.jp/wiki/index.php?action=history&feed=atom&title=%E3%83%A2%E3%82%B8%E3%83%A5%E3%83%BC%E3%83%AB%3AMath 2026-03-25T18:10:16Z このウィキのこのページに関する変更履歴 MediaWiki 1.31.1
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http://itchan.official.jp/wiki/index.php?title=%E3%83%A2%E3%82%B8%E3%83%A5%E3%83%BC%E3%83%AB:Math&diff=1071&oldid=prev 2014-03-20T16:07:16Z

<p>1版</p> <table class="diff diff-contentalign-left" data-mw="interface"> <tr class="diff-title" lang="ja"> <td colspan="1" style="background-color: #fff; color: #222; text-align: center;">← 古い版</td> <td colspan="1" style="background-color: #fff; color: #222; text-align: center;">2014年3月20日 (木) 16:07時点における版</td> </tr><tr><td colspan="2" class="diff-notice" lang="ja"><div class="mw-diff-empty">(相違点なし)</div> </td></tr></table>

いんふぉ™ http://itchan.official.jp/wiki/index.php?title=%E3%83%A2%E3%82%B8%E3%83%A5%E3%83%BC%E3%83%AB:Math&diff=1070&oldid=prev 2013-03-20T09:52:16Z

<p><a href="/wiki/index.php?title=En:Module:Math&amp;action=edit&amp;redlink=1" class="new" title="En:Module:Math (存在しないページ)">en:Module:Math</a>5 March 2013 at 03:27.より転記</p> <p><b>新規ページ</b></p><div>--[[<br /> <br /> This module provides a number of basic mathematical operations.<br /> <br /> ]]<br /> local z = {}<br /> <br /> -- Generate random number<br /> function z.random( frame )<br /> first = tonumber(frame.args[1]) -- if it doesn&#039;t exist it&#039;s NaN, if not a number it&#039;s nil<br /> second = tonumber(frame.args[2])<br /> <br /> if first then -- if NaN or nil, will skip down to final return<br /> if first &lt;= second then -- could match if both nil, but already checked that first is a number in last line<br /> return math.random(first, second)<br /> end<br /> return math.random(first)<br /> end <br /> return math.random()<br /> end<br /> <br /> --[[<br /> order<br /> <br /> Determine order of magnitude of a number<br /> <br /> Usage:<br /> {{#invoke: Math | order | value }}<br /> ]]<br /> function z.order(frame)<br /> local input_string = (frame.args[1] or frame.args.x or &#039;0&#039;);<br /> local input_number;<br /> <br /> input_number = z._cleanNumber( frame, input_string );<br /> if input_number == nil then<br /> return &#039;&lt;strong class=&quot;error&quot;&gt;Formatting error: Order of magnitude input appears non-numeric&lt;/strong&gt;&#039;<br /> else<br /> return z._order( input_number )<br /> end <br /> end<br /> function z._order(x)<br /> if x == 0 then return 0 end<br /> return math.floor(math.log10(math.abs(x)))<br /> end<br /> <br /> --[[<br /> precision<br /> <br /> Detemines the precision of a number using the string representation<br /> <br /> Usage:<br /> {{ #invoke: Math | precision | value }}<br /> ]]<br /> function z.precision( frame )<br /> local input_string = (frame.args[1] or frame.args.x or &#039;0&#039;);<br /> local trap_fraction = frame.args.check_fraction or false;<br /> local input_number;<br /> <br /> if type( trap_fraction ) == &#039;string&#039; then<br /> trap_fraction = trap_fraction:lower();<br /> if trap_fraction == &#039;false&#039; or trap_fraction == &#039;0&#039; or<br /> trap_fraction == &#039;no&#039; or trap_fraction == &#039;&#039; then<br /> trap_fraction = false;<br /> else<br /> trap_fraction = true;<br /> end<br /> end<br /> <br /> if trap_fraction then<br /> local pos = string.find( input_string, &#039;/&#039;, 1, true );<br /> if pos ~= nil then<br /> if string.find( input_string, &#039;/&#039;, pos + 1, true ) == nil then<br /> local denominator = string.sub( input_string, pos+1, -1 );<br /> local denom_value = tonumber( denominator );<br /> if denom_value ~= nil then<br /> return math.log10(denom_value);<br /> end<br /> end <br /> end<br /> end <br /> <br /> input_number, input_string = z._cleanNumber( frame, input_string );<br /> if input_string == nil then<br /> return &#039;&lt;strong class=&quot;error&quot;&gt;Formatting error: Precision input appears non-numeric&lt;/strong&gt;&#039;<br /> else<br /> return z._precision( input_string )<br /> end <br /> end<br /> function z._precision( x ) <br /> x = string.upper( x )<br /> <br /> local decimal = string.find( x, &#039;.&#039;, 1, true )<br /> local exponent_pos = string.find( x, &#039;E&#039;, 1, true )<br /> local result = 0;<br /> <br /> if exponent_pos ~= nil then<br /> local exponent = string.sub( x, exponent_pos + 1 )<br /> x = string.sub( x, 1, exponent_pos - 1 )<br /> result = result - tonumber( exponent )<br /> end <br /> <br /> if decimal ~= nil then<br /> result = result + string.len( x ) - decimal<br /> return result<br /> end<br /> <br /> local pos = string.len( x );<br /> while x:byte(pos) == string.byte(&#039;0&#039;) do<br /> pos = pos - 1<br /> result = result - 1<br /> if pos &lt;= 0 then<br /> return 0<br /> end<br /> end<br /> <br /> return result<br /> end<br /> <br /> --[[<br /> max<br /> <br /> Finds the maximum argument<br /> <br /> Usage:<br /> {{#invoke:Math| max | value1 | value2 | ... }}<br /> OR<br /> {{#invoke:Math| max }}<br /> <br /> When used with no arguments, it takes its input from the parent<br /> frame. Note, any values that do not evaluate to numbers are ignored.<br /> ]]<br /> function z.max( frame )<br /> local args = frame.args;<br /> <br /> if args[1] == nil then<br /> local parent = frame:getParent();<br /> args = parent.args;<br /> end<br /> local max_value = nil;<br /> <br /> local i = 1;<br /> while args[i] ~= nil do<br /> local val = z._cleanNumber( frame, args[i] );<br /> if val ~= nil then<br /> if max_value == nil or val &gt; max_value then<br /> max_value = val;<br /> end<br /> end <br /> i = i + 1;<br /> end<br /> <br /> return max_value<br /> end<br /> <br /> --[[<br /> min <br /> <br /> Finds the minimum argument<br /> <br /> Usage:<br /> {{#invoke:Math| min | value1 | value2 | ... }}<br /> OR<br /> {{#invoke:Math| min }}<br /> <br /> When used with no arguments, it takes its input from the parent<br /> frame. Note, any values that do not evaluate to numbers are ignored.<br /> ]]<br /> function z.min( frame )<br /> local args = frame.args;<br /> <br /> if args[1] == nil then<br /> local parent = frame:getParent();<br /> args = parent.args;<br /> end<br /> local min_value = nil;<br /> <br /> local i = 1;<br /> while args[i] ~= nil do<br /> local val = z._cleanNumber( frame, args[i] );<br /> if val ~= nil then<br /> if min_value == nil or val &lt; min_value then<br /> min_value = val;<br /> end<br /> end <br /> i = i + 1;<br /> end<br /> <br /> return min_value<br /> end<br /> <br /> --[[<br /> round<br /> <br /> Rounds a number to specified precision<br /> <br /> Usage:<br /> {{#invoke:Math | round | value | precision }}<br /> <br /> --]]<br /> function z.round(frame)<br /> local value, precision;<br /> <br /> value = z._cleanNumber( frame, frame.args[1] or frame.args.value or 0 );<br /> precision = z._cleanNumber( frame, frame.args[2] or frame.args.precision or 0 );<br /> <br /> if value == nil or precision == nil then<br /> return &#039;&lt;strong class=&quot;error&quot;&gt;Formatting error: Round input appears non-numeric&lt;/strong&gt;&#039;<br /> else<br /> return z._round( value, precision );<br /> end <br /> end<br /> function z._round( value, precision )<br /> local rescale = math.pow( 10, precision );<br /> return math.floor( value * rescale + 0.5 ) / rescale;<br /> end<br /> <br /> --[[<br /> precision_format<br /> <br /> Rounds a number to the specified precision and formats according to rules <br /> originally used for {{template:Rnd}}. Output is a string.<br /> <br /> Usage:<br /> {{#invoke: Math | precision_format | number | precision }}<br /> ]]<br /> function z.precision_format( frame )<br /> -- For access to Mediawiki built-in formatter.<br /> local lang = mw.getContentLanguage();<br /> <br /> local value_string, value, precision;<br /> value, value_string = z._cleanNumber( frame, frame.args[1] or 0 );<br /> precision = z._cleanNumber( frame, frame.args[2] or 0 );<br /> <br /> -- Check for non-numeric input<br /> if value == nil or precision == nil then<br /> return &#039;&lt;strong class=&quot;error&quot;&gt;Formatting error: invalid input when rounding&lt;/strong&gt;&#039;<br /> end<br /> <br /> local current_precision = z._precision( value );<br /> <br /> local order = z._order( value );<br /> <br /> -- Due to round-off effects it is neccesary to limit the returned precision under<br /> -- some circumstances because the terminal digits will be inaccurately reported.<br /> if order + precision &gt;= 14 then<br /> orig_precision = z._precision( value_string );<br /> if order + orig_precision &gt;= 14 then<br /> precision = 13 - order; <br /> end <br /> end<br /> <br /> -- If rounding off, truncate extra digits<br /> if precision &lt; current_precision then<br /> value = z._round( value, precision );<br /> current_precision = z._precision( value );<br /> end <br /> <br /> local formatted_num = lang:formatNum( math.abs(value) );<br /> local sign;<br /> <br /> -- Use proper unary minus sign rather than ASCII default<br /> if value &lt; 0 then<br /> sign = &#039;−&#039;;<br /> else<br /> sign = &#039;&#039;;<br /> end <br /> <br /> -- Handle cases requiring scientific notation<br /> if string.find( formatted_num, &#039;E&#039;, 1, true ) ~= nil or math.abs(order) &gt;= 9 then<br /> value = value * math.pow( 10, -order );<br /> current_precision = current_precision + order;<br /> precision = precision + order;<br /> formatted_num = lang:formatNum( math.abs(value) );<br /> else<br /> order = 0; <br /> end<br /> formatted_num = sign .. formatted_num;<br /> <br /> -- Pad with zeros, if needed <br /> if current_precision &lt; precision then<br /> local padding;<br /> if current_precision &lt;= 0 then<br /> if precision &gt; 0 then<br /> local zero_sep = lang:formatNum( 1.1 );<br /> formatted_num = formatted_num .. zero_sep:sub(2,2);<br /> <br /> padding = precision;<br /> if padding &gt; 20 then<br /> padding = 20;<br /> end<br /> <br /> formatted_num = formatted_num .. string.rep( &#039;0&#039;, padding );<br /> end <br /> else <br /> padding = precision - current_precision<br /> if padding &gt; 20 then<br /> padding = 20;<br /> end<br /> formatted_num = formatted_num .. string.rep( &#039;0&#039;, padding );<br /> end<br /> end<br /> <br /> -- Add exponential notation, if necessary.<br /> if order ~= 0 then<br /> -- Use proper unary minus sign rather than ASCII default<br /> if order &lt; 0 then<br /> order = &#039;−&#039; .. lang:formatNum( math.abs(order) );<br /> else<br /> order = lang:formatNum( order );<br /> end <br /> <br /> formatted_num = formatted_num .. &#039;&lt;span style=&quot;margin:0 .15em 0 .25em&quot;&gt;×&lt;/span&gt;10&lt;sup&gt;&#039; .. order .. &#039;&lt;/sup&gt;&#039;<br /> end<br /> <br /> return formatted_num;<br /> end<br /> <br /> --[[<br /> Helper function that interprets the input numerically. If the <br /> input does not appear to be a number, attempts evaluating it as<br /> a parser functions expression.<br /> ]]<br /> <br /> function z._cleanNumber( frame, number_string )<br /> if number_string == nil or number_string:len() == 0 then<br /> return nil, nil;<br /> end <br /> <br /> -- Attempt basic conversion<br /> local number = tonumber( number_string )<br /> <br /> -- If failed, attempt to evaluate input as an expression<br /> if number == nil then <br /> local attempt = frame:preprocess( &#039;{{#expr: &#039; .. number_string .. &#039;}}&#039; );<br /> attempt = tonumber( attempt );<br /> if attempt ~= nil then<br /> number = attempt;<br /> number_string = tostring( number );<br /> else<br /> number = nil;<br /> number_string = nil;<br /> end<br /> else<br /> -- String is valid but may contain padding, clean it.<br /> number_string = number_string:match( &quot;^%s*(.-)%s*$&quot; );<br /> end<br /> <br /> return number, number_string;<br /> end<br /> <br /> return z</div>

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