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href="/w/index.php?title=M%C3%B3dulo:Roman-cd/doc&action=edit&redlink=1" class="new" title="Módulo:Roman-cd/doc (página não existe)">Módulo:Roman-cd/doc</a> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr mw-highlight-lines" dir="ltr"><pre><a href="#L-1"></a>--[[ <a href="#L-2"></a>This module converts Arabic numerals into Roman numerals. <a href="#L-3"></a>It currently works for any non-negative integer below 5 billions (up to 4 999 999 999). <a href="#L-4"></a> <a href="#L-5"></a>Zero is represented as "N" (from Classical Latin adverbs "nec" or "non"), like in standard CLDR data. <a href="#L-6"></a> <a href="#L-7"></a>For numbers starting at 4 thousands, this version no longer generates any HTML+CSS, but only plain-text: <a href="#L-8"></a>standard Unicode combining diacritics are used for overlines (U+0305 for the first level, <a href="#L-9"></a>then U+0304 for the second level, but both are treated equivalently when parsing Roman numbers). <a href="#L-10"></a> <a href="#L-11"></a>For numbers starting at 4 billions, it still uses 4 letters M with double overlines because <a href="#L-12"></a>triple overlines are not supported in plain-text (this is acceptable, just like "MMMM" is also <a href="#L-13"></a>acceptable for representing 4000 but this version chooses the shorter "IV" with a single overline). <a href="#L-14"></a> <a href="#L-15"></a>The Roman number parser will accept all valid notations (except apostrophic/Claudian/lunate notations <a href="#L-16"></a>using reversed C), more than what it generates, and will correctly convert them to Arabic numbers. <a href="#L-17"></a> <a href="#L-18"></a>Please do not modify this code without applying the changes first at Module:Roman/sandbox and testing <a href="#L-19"></a>at Module:Roman/sandbox/testcases and Module talk:Roman/sandbox/testcases. <a href="#L-20"></a> <a href="#L-21"></a>Authors and maintainers: <a href="#L-22"></a>* User:RP88, User:Verdy_p <a href="#L-23"></a>]] <a href="#L-24"></a>local p = {} <a href="#L-25"></a> <a href="#L-26"></a>--[============[ <a href="#L-27"></a> Private data <a href="#L-28"></a>--]============] <a href="#L-29"></a>-- See CLDR data /common/rbnf/root.xml for "roman-upper" rules. However we still don't <a href="#L-30"></a>-- use the rarely supported Roman extension digits after 'M' (in U+2160..2188), but use <a href="#L-31"></a>-- the more common notation with diacritical overlines ('ↁ'='V̅', 'ↂ'='X̅', etc.). <a href="#L-32"></a>-- Please avoid using HTML with "text-decoration:overline" style, but use plain-text <a href="#L-33"></a>-- combining characters (U+0304 and/or U+0305). <a href="#L-34"></a>local decimalRomans = { <a href="#L-35"></a> d0 = { [0] = '', 'I', 'II', 'III', 'IV', 'V', 'VI', 'VII', 'VIII', 'IX' }, <a href="#L-36"></a> d1 = { [0] = '', 'X', 'XX', 'XXX', 'XL', 'L', 'LX', 'LXX', 'LXXX', 'XC' }, <a href="#L-37"></a> d2 = { [0] = '', 'C', 'CC', 'CCC', 'CD', 'D', 'DC', 'DCC', 'DCCC', 'CM' }, <a href="#L-38"></a> d3 = { [0] = '', 'M', 'MM', 'MMM', 'I̅V̅', 'V̅', 'V̅I̅', 'V̅I̅I̅', 'V̅I̅I̅I̅', 'I̅X̅' }, <a href="#L-39"></a> d4 = { [0] = '', 'X̅', 'X̅X̅', 'X̅X̅X̅', 'X̅L̅', 'L̅', 'L̅X̅', 'L̅X̅X̅', 'L̅X̅X̅X̅', 'X̅C̅' }, <a href="#L-40"></a> d5 = { [0] = '', 'C̅', 'C̅C̅', 'C̅C̅C̅', 'C̅D̅', 'D̅', 'D̅C̅', 'D̅C̅C̅', 'D̅C̅C̅C̅', 'C̅M̅' }, <a href="#L-41"></a> d6 = { [0] = '', 'M̅', 'M̅M̅', 'M̅M̅M̅', 'I̿V̿', 'V̿', 'V̿I̿', 'V̿I̿I̿', 'V̿I̿I̿I̿', 'I̿X̿' }, <a href="#L-42"></a> d7 = { [0] = '', 'X̿', 'X̿X̿', 'X̿X̿X̿', 'X̿L̿', 'L̿', 'L̿X̿', 'L̿X̿X̿', 'L̿X̿X̿X̿', 'X̿C̿' }, <a href="#L-43"></a> d8 = { [0] = '', 'C̿', 'C̿C̿', 'C̿C̿C̿', 'C̿D̿', 'D̿', 'D̿C̿', 'D̿C̿C̿', 'D̿C̿C̿C̿', 'C̿M̿' }, <a href="#L-44"></a> d9 = { [0] = '', 'M̿', 'M̿M̿', 'M̿M̿M̿', 'M̿M̿M̿M̿' }, <a href="#L-45"></a>} <a href="#L-46"></a>local romanDecimals = { <a href="#L-47"></a> -- Basic Latin capital letters <a href="#L-48"></a> N = 0, -- abbreviated "nec" or "non" adverb in Classical Latin <a href="#L-49"></a> I = 1, V = 5, X = 10, L = 50, C = 100, <a href="#L-50"></a> D = 500,-- TODO: add Medieval "apostrophic/Claudian/lunate" notations like "IƆ" <a href="#L-51"></a> M = 1000, <a href="#L-52"></a> -- Basic Latin small letters (not used in Classical Latin, but added in Medieval Latin) <a href="#L-53"></a> n = 0, -- abbreviated "nec" or "non" adverb in Classical Latin <a href="#L-54"></a> i = 1, v = 5, x = 10, l = 50, c = 100, <a href="#L-55"></a> d = 500,-- TODO: add Medieval "apostrophic/Claudian/lunate" notations like "IƆ" <a href="#L-56"></a> m = 1000, <a href="#L-57"></a> -- U+0304 .. U+0305 : COMBINING (MACRON|OVERLINE) <a href="#L-58"></a> ['\204\132'] = -1000, -- (0xCC,0x84 in UTF-8) multiplier (thousand) <a href="#L-59"></a> ['\204\133'] = -1000, -- (0xCC,0x85 in UTF-8) multiplier (thousand), considered equivalent here <a href="#L-60"></a> -- U+033F : COMBINING DOUBLE OVERLINE <a href="#L-61"></a> ['\204\191'] = -1000000, -- (0xCC,0xBF in UTF-8) multiplier (million) <a href="#L-62"></a> -- U+012A <a href="#L-63"></a> ['Ī'] = 1000, ['ī'] = 1000, -- LATIN LETTER WITH COMBINING MACRON, canonically equivalent to 'I' and U+0304 <a href="#L-64"></a> -- U+2160 .. U+216F : Roman capital digit symbols (compatibility, monospaced in CJK fonts) <a href="#L-65"></a> ['Ⅰ'] = 1, ['Ⅱ'] = 2, ['Ⅲ'] = 3, ['Ⅳ'] = 4, ['Ⅴ'] = 5, ['Ⅵ'] = 6, <a href="#L-66"></a> ['Ⅶ'] = 7, ['Ⅷ'] = 8, ['Ⅸ'] = 9, ['Ⅹ'] = 10, ['Ⅺ'] = 11, ['Ⅻ'] = 12, <a href="#L-67"></a> ['Ⅼ'] = 50, ['Ⅽ'] = 100, ['Ⅾ'] = 500, ['Ⅿ'] = 1000, <a href="#L-68"></a> -- U+2170 .. U+217F : Roman lowercase digit symbols (compatibility, monospaced in CJK fonts) <a href="#L-69"></a> ['ⅰ'] = 1, ['ⅱ'] = 2, ['ⅲ'] = 3, ['ⅳ'] = 4, ['ⅴ'] = 5, ['ⅵ'] = 6, <a href="#L-70"></a> ['ⅶ'] = 7, ['ⅷ'] = 8, ['ⅸ'] = 9, ['ⅹ'] = 10, ['ⅺ'] = 11, ['ⅻ'] = 12, <a href="#L-71"></a> ['ⅼ'] = 50, ['ⅽ'] = 100, ['ⅾ'] = 500, ['ⅿ'] = 1000, <a href="#L-72"></a> -- U+2180 .. U+2182 : Old Roman symbols (these have no case pairs) <a href="#L-73"></a> ['ↀ'] = 1000, -- = 'I̅' = 'M'. TODO: add Medieval "apostrophic/Claudian/lunate" notations like "CIƆ"; do not confuse it with "CD" (400) <a href="#L-74"></a> ['ↁ'] = 5000, -- = 'V̅'. TODO: add Medieval "apostrophic/Claudian/lunate" notations like "DƆ" and "IƆƆ" <a href="#L-75"></a> ['ↂ'] = 10000, -- = 'X̅'. TODO: add Medieval "apostrophic/Claudian/lunate" notations like "CCIƆƆ" <a href="#L-76"></a> -- U+2183..U+2184 : ROMAN DIGIT (CAPITAL|LOWER) REVERSED C. TODO: add for "apostrophic/Claudian/lunate" notations (and support "Ɔ" OPEN O as aliases) <a href="#L-77"></a> -- The reversed "C" is a trailing multiplier by 10 but if it is not paired by a leading "C", the surrounded value will be divided by 2: <a href="#L-78"></a> -- * "I" = 1, but if followed by followed by "Ɔ", it takes the value 100: <a href="#L-79"></a> -- * when followed by a first "Ɔ" it multiplies it by 10 giving 1000 (assuming "CIƆ"), but if not prefixed by a pairing "C", gives 500 for "IƆ" = "D". <a href="#L-80"></a> -- * when followed by a second "Ɔ" it multiplies it by 10 giving 1000 (assuming "CCIƆƆ"), but if not prefixed by a pairing "C", gives 5000 for "IƆƆ" = "DƆ". <a href="#L-81"></a> -- * for higher multiples, using overlines is highly preferred for noting multipliers by 1000. <a href="#L-82"></a> -- U+2185: ROMAN NUMERAL SIX LATE FORM <a href="#L-83"></a> ['ↅ'] = 6, -- = 'VI' (overstriked letters) <a href="#L-84"></a> -- U+2186: ROMAN NUMERAL FIFTY EARLY FORM (Borrowed in Latin in capital form, from Greek Final sigma, similar to "C" with a leg meaning "half") <a href="#L-85"></a> ['ↆ'] = 50, -- = 'L' <a href="#L-86"></a> -- U+2187 .. U+2188: ROMAN NUMERAL (ONE HUNDRED|FIFTY) THOUSAND (Archaic, rarely supported in fonts) <a href="#L-87"></a> ['ↇ'] = 50000, -- = 'L̅'. TODO: add Medieval "apostrophic/Claudian/lunate" notations like "DƆƆ" and "IƆƆƆ" <a href="#L-88"></a> ['ↈ'] = 100000, -- = 'C̅'. TODO: add Medieval "apostrophic/Claudian/lunate" notations like "CCCDƆƆ" and "CCCIƆƆƆ" <a href="#L-89"></a>} <a href="#L-90"></a> <a href="#L-91"></a>--[=================[ <a href="#L-92"></a> Private functions <a href="#L-93"></a>--]=================] <a href="#L-94"></a> <a href="#L-95"></a>--[==[ <a href="#L-96"></a>This function returns a string containing the input value formatted as a Roman numeral. <a href="#L-97"></a>It works for non-negative integers lower than 5 billions (up to 4 999 999 999: this covers <a href="#L-98"></a>all unsigned 32-bit integers), otherwise it returns the number formatted using Latin <a href="#L-99"></a>digits. The result string will be an UTF-8-encoded plain-text alphabetic string. <a href="#L-100"></a>]==]-- <a href="#L-101"></a>local function convertArabicToRoman(value) <a href="#L-102"></a> if value >= 1 and value <= 4999999999 and value == math.floor(value) then <a href="#L-103"></a> local d0, d1, d2, d3, d4, d5, d6, d7, d8 <a href="#L-104"></a> d0, value = value % 10, math.floor(value / 10) <a href="#L-105"></a> d1, value = value % 10, math.floor(value / 10) <a href="#L-106"></a> d2, value = value % 10, math.floor(value / 10) <a href="#L-107"></a> d3, value = value % 10, math.floor(value / 10) <a href="#L-108"></a> d4, value = value % 10, math.floor(value / 10) <a href="#L-109"></a> d5, value = value % 10, math.floor(value / 10) <a href="#L-110"></a> d6, value = value % 10, math.floor(value / 10) <a href="#L-111"></a> d7, value = value % 10, math.floor(value / 10) <a href="#L-112"></a> d8, value = value % 10, math.floor(value / 10) <a href="#L-113"></a> return table.concat({ <a href="#L-114"></a> decimalRomans.d9[value], <a href="#L-115"></a> decimalRomans.d8[d8], <a href="#L-116"></a> decimalRomans.d7[d7], <a href="#L-117"></a> decimalRomans.d6[d6], <a href="#L-118"></a> decimalRomans.d5[d5], <a href="#L-119"></a> decimalRomans.d4[d4], <a href="#L-120"></a> decimalRomans.d3[d3], <a href="#L-121"></a> decimalRomans.d2[d2], <a href="#L-122"></a> decimalRomans.d1[d1], <a href="#L-123"></a> decimalRomans.d0[d0], <a href="#L-124"></a> }) <a href="#L-125"></a> elseif value == 0 then <a href="#L-126"></a> return 'N' -- for adverbs "nec" or "non" in Classical Latin (which had no zero) <a href="#L-127"></a> end <a href="#L-128"></a> return tostring(value) <a href="#L-129"></a>end <a href="#L-130"></a> <a href="#L-131"></a>--[==[ <a href="#L-132"></a>This function converts a plain-text string containing a Roman numeral to an integer. <a href="#L-133"></a>It works for values between 0 (N) and 4 999 999 999 (M̿M̿M̿M̿C̿M̿X̿C̿I̿X̿C̅M̅X̅C̅I̅X̅CMXCIX). <a href="#L-134"></a>]==]-- <a href="#L-135"></a>local function convertRomanToArabic(roman) <a href="#L-136"></a> if roman == '' then return nil end <a href="#L-137"></a> local result, prevRomanDecimal, multiplier = 0, 0, 1 <a href="#L-138"></a> for i = mw.ustring.len(roman), 1, -1 do <a href="#L-139"></a> local currentRomanDecimal = romanDecimals[mw.ustring.sub(roman, i, i)] <a href="#L-140"></a> if currentRomanDecimal == nil then <a href="#L-141"></a> return nil <a href="#L-142"></a> elseif currentRomanDecimal < 0 then <a href="#L-143"></a> multiplier = multiplier * -currentRomanDecimal <a href="#L-144"></a> else <a href="#L-145"></a> currentRomanDecimal, multiplier = currentRomanDecimal * multiplier, 1 <a href="#L-146"></a> if currentRomanDecimal < prevRomanDecimal then <a href="#L-147"></a> result = result - currentRomanDecimal <a href="#L-148"></a> else <a href="#L-149"></a> result = result + currentRomanDecimal <a href="#L-150"></a> prevRomanDecimal = currentRomanDecimal <a href="#L-151"></a> end <a href="#L-152"></a> end <a href="#L-153"></a> end <a href="#L-154"></a> return result <a href="#L-155"></a>end <a href="#L-156"></a> <a href="#L-157"></a>--[==[ <a href="#L-158"></a>This function converts a string containing a Roman numeral to an integer. <a href="#L-159"></a>It works for values between 0 and 4999999999. <a href="#L-160"></a>The input string may contain HTML tags using style="text-decoration:overline" (not recommended). <a href="#L-161"></a>]==]-- <a href="#L-162"></a>local function convertRomanHTMLToArabic(roman) <a href="#L-163"></a> local result = convertRomanToArabic(roman) <a href="#L-164"></a> if result == nil then <a href="#L-165"></a> result = tonumber(roman) <a href="#L-166"></a> end <a href="#L-167"></a> return result <a href="#L-168"></a> [==[ DISABLED FOR NOW, NOT REALLY NEEDED AND NOT CORRECTLY TESTED <a href="#L-169"></a> local result = 0 <a href="#L-170"></a> local overline_start_len = mw.ustring.len(overline_start) <a href="#L-171"></a> if mw.ustring.sub(roman, 1, overline_start_len) == overline_start then <a href="#L-172"></a> local end_tag_start, end_tag_end = mw.ustring.find(roman, overline_end, overline_start_len, true) <a href="#L-173"></a> if end_tag_start ~= nil then <a href="#L-174"></a> local roman_high = mw.ustring.sub(roman, overline_start_len + 1, end_tag_start - 1) <a href="#L-175"></a> local roman_low = mw.ustring.sub(roman, end_tag_end + 1, mw.ustring.len(roman)) or '' <a href="#L-176"></a> if (mw.ustring.find(roman_high, "^[mdclxvi]+$") ~= nil) and (mw.ustring.find(roman_low, "^[mdclxvi]*$") ~= nil) then <a href="#L-177"></a> result = convertRomanToArabic(roman_high) * 1000 + convertRomanToArabic(roman_low) <a href="#L-178"></a> end <a href="#L-179"></a> end <a href="#L-180"></a> end <a href="#L-181"></a> return result <a href="#L-182"></a> ]==] <a href="#L-183"></a>end <a href="#L-184"></a> <a href="#L-185"></a>--[==[ <a href="#L-186"></a>Helper function to handle error messages. <a href="#L-187"></a>]==]-- <a href="#L-188"></a>local function outputError(message) <a href="#L-189"></a> return table.concat({ <a href="#L-190"></a> 'Roman Module Error: ', message, <a href="#L-191"></a> '[[Category:Errors reported by Module Roman]]' <a href="#L-192"></a> }) <a href="#L-193"></a>end <a href="#L-194"></a> <a href="#L-195"></a>--[================[ <a href="#L-196"></a> Public functions <a href="#L-197"></a>--]================] <a href="#L-198"></a> <a href="#L-199"></a>--[==[ <a href="#L-200"></a>isRoman <a href="#L-201"></a> <a href="#L-202"></a>Tests if the trimmed input is a valid Roman numeral. Returns true if so, false if not. <a href="#L-203"></a>For the purposes of this function, the empty string (after trimming whitespaces) is not a Roman numeral. <a href="#L-204"></a> <a href="#L-205"></a>Parameters <a href="#L-206"></a> s: string to test if it is a valid Roman numeral <a href="#L-207"></a> <a href="#L-208"></a>Error Handling: <a href="#L-209"></a> If the input is not a valid Roman numeral this function returns false. <a href="#L-210"></a>]==]-- <a href="#L-211"></a>function p.isRoman(s) <a href="#L-212"></a> return type(s) == 'string' and convertRomanToArabic(mw.text.trim(s)) ~= nil <a href="#L-213"></a>end <a href="#L-214"></a> <a href="#L-215"></a>--[==[ <a href="#L-216"></a>toArabic <a href="#L-217"></a> <a href="#L-218"></a>This function converts a Roman numeral into an Arabic numeral. <a href="#L-219"></a>It works for values between 0 and 4999999999. <a href="#L-220"></a>'N' is converted to 0 and the empty string is converted to nil. <a href="#L-221"></a> <a href="#L-222"></a>Parameters <a href="#L-223"></a> roman: string containing value to convert into an Arabic numeral <a href="#L-224"></a> <a href="#L-225"></a>Error Handling: <a href="#L-226"></a> If the input is not a valid Roman numeral this function returns nil. <a href="#L-227"></a>]==]-- <a href="#L-228"></a>function p.toArabic(roman) <a href="#L-229"></a> if type(roman) == 'string' then <a href="#L-230"></a> roman = mw.text.trim(roman) <a href="#L-231"></a> local result = convertRomanToArabic(roman) <a href="#L-232"></a> if result == nil then <a href="#L-233"></a> result = tonumber(roman) <a href="#L-234"></a> end <a href="#L-235"></a> return result <a href="#L-236"></a> elseif type(roman) == 'number' then <a href="#L-237"></a> return roman <a href="#L-238"></a> else <a href="#L-239"></a> return nil <a href="#L-240"></a> end <a href="#L-241"></a>end <a href="#L-242"></a> <a href="#L-243"></a>--[==[ <a href="#L-244"></a>_Numeral <a href="#L-245"></a> <a href="#L-246"></a>This function returns a string containing the input value formatted as a Roman numeral. <a href="#L-247"></a>It works for values between 0 and 4999999999. <a href="#L-248"></a> <a href="#L-249"></a>Parameters <a href="#L-250"></a> value: integer or string containing value to convert into a Roman numeral <a href="#L-251"></a> <a href="#L-252"></a>Error Handling: <a href="#L-253"></a> If the input does not look like it contains a number or the number is outside of the <a href="#L-254"></a> supported range an error message is returned. <a href="#L-255"></a>]==]-- <a href="#L-256"></a>function p._Numeral(value) <a href="#L-257"></a> if value == nil then <a href="#L-258"></a> return outputError('missing value') <a href="#L-259"></a> end <a href="#L-260"></a> if type(value) == 'string' then <a href="#L-261"></a> value = tonumber(value) <a href="#L-262"></a> elseif type(value) ~= 'number' then <a href="#L-263"></a> return outputError('unsupported value') <a href="#L-264"></a> end <a href="#L-265"></a> return convertArabicToRoman(value) <a href="#L-266"></a>end <a href="#L-267"></a> <a href="#L-268"></a>--[==[ <a href="#L-269"></a>Numeral <a href="#L-270"></a> <a href="#L-271"></a>This function for MediaWiki converts an Arabic numeral into a Roman numeral. <a href="#L-272"></a>It works for values between 0 and 4999999999 (includes the whole range of unsigned 32-bit integers). <a href="#L-273"></a>Arabic numeral zero is output as 'N' (for Latin negation adverbs "nec" or "non"). <a href="#L-274"></a> <a href="#L-275"></a>Usage: <a href="#L-276"></a> {{#invoke:Roman|Numeral|<value>}} <a href="#L-277"></a> {{#invoke:Roman|Numeral}} - uses the caller's parameters <a href="#L-278"></a> <a href="#L-279"></a>Parameters <a href="#L-280"></a> 1: Value to convert into a Roman numeral. Must be at least 0 and less than 5,000,000. <a href="#L-281"></a> <a href="#L-282"></a>Error Handling: <a href="#L-283"></a> If the input does not look like it contains a number or the number is outside of the <a href="#L-284"></a> supported range an error message is returned. <a href="#L-285"></a>]==]-- <a href="#L-286"></a>function p.Numeral(frame) <a href="#L-287"></a> -- if no argument provided than check parent template/module args <a href="#L-288"></a> local args = frame.args <a href="#L-289"></a> if args[1] == nil then <a href="#L-290"></a> args = frame:getParent().args <a href="#L-291"></a> end <a href="#L-292"></a> return p._Numeral(args[1]) <a href="#L-293"></a>end <a href="#L-294"></a> <a href="#L-295"></a>return p </pre></div>   </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Obtida de "<a dir="ltr" href="https://pt.wikiquote.org/w/index.php?title=Módulo:Roman-cd&oldid=208969">https://pt.wikiquote.org/w/index.php?title=Módulo:Roman-cd&oldid=208969</a>"</div></div> <div id="catlinks" class="catlinks catlinks-allhidden" data-mw="interface"></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Esta página foi editada pela última vez às 14h34min de 11 de junho de 2024.</li> <li id="footer-info-copyright">Este texto é disponibilizado nos termos da licença <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.pt">Atribuição-CompartilhaIgual 4.0 (CC BY-SA 4.0) da Creative Commons</a>; pode estar sujeito a condições adicionais. 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