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Module:Math - Wikipedia
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Beskikbaar in 175 tale" > <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-175" 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">175 tale</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ab mw-list-item"><a href="https://ab.wikipedia.org/wiki/%D0%90%D0%BC%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Амодуль:Math – Abkasies" lang="ab" hreflang="ab" data-title="Амодуль:Math" data-language-autonym="Аԥсшәа" data-language-local-name="Abkasies" class="interlanguage-link-target"><span>Аԥсшәа</span></a></li><li class="interlanguage-link interwiki-ace mw-list-item"><a href="https://ace.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Atsjenees" lang="ace" hreflang="ace" data-title="Modul:Math" data-language-autonym="Acèh" data-language-local-name="Atsjenees" class="interlanguage-link-target"><span>Acèh</span></a></li><li class="interlanguage-link interwiki-alt mw-list-item"><a href="https://alt.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Suid-Altai" lang="alt" hreflang="alt" data-title="Модуль:Math" data-language-autonym="Алтай тил" data-language-local-name="Suid-Altai" class="interlanguage-link-target"><span>Алтай тил</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Aragonees" lang="an" hreflang="an" data-title="Módulo:Math" data-language-autonym="Aragonés" data-language-local-name="Aragonees" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ang mw-list-item"><a href="https://ang.wikipedia.org/wiki/Module:Math" title="Module:Math – Old English" lang="ang" hreflang="ang" data-title="Module:Math" data-language-autonym="Ænglisc" data-language-local-name="Old English" class="interlanguage-link-target"><span>Ænglisc</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%88%D8%AD%D8%AF%D8%A9:Math" title="وحدة:Math – Arabies" lang="ar" hreflang="ar" data-title="وحدة:Math" data-language-autonym="العربية" data-language-local-name="Arabies" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%85%D9%88%D8%AF%D9%88%D9%84:Math" title="مودول:Math – Moroccan Arabic" lang="ary" hreflang="ary" data-title="مودول:Math" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%88%D8%AD%D8%AF%D8%A9:Math" title="وحدة:Math – Egyptian Arabic" lang="arz" hreflang="arz" data-title="وحدة:Math" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/Module:Math" title="Module:Math – Assamees" lang="as" hreflang="as" data-title="Module:Math" data-language-autonym="অসমীয়া" data-language-local-name="Assamees" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/M%C3%B3dulu:Math" title="Módulu:Math – Asturies" lang="ast" hreflang="ast" data-title="Módulu:Math" data-language-autonym="Asturianu" data-language-local-name="Asturies" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-av mw-list-item"><a href="https://av.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Avaries" lang="av" hreflang="av" data-title="Модуль:Math" data-language-autonym="Авар" data-language-local-name="Avaries" class="interlanguage-link-target"><span>Авар</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Azerbeidjans" lang="az" hreflang="az" data-title="Modul:Math" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbeidjans" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D9%85%D8%A7%DA%98%D9%88%D9%84:Math" title="ماژول:Math – South Azerbaijani" lang="azb" hreflang="azb" data-title="ماژول:Math" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Baskir" lang="ba" hreflang="ba" data-title="Модуль:Math" data-language-autonym="Башҡортса" data-language-local-name="Baskir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-ban mw-list-item"><a href="https://ban.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Balinees" lang="ban" hreflang="ban" data-title="Modul:Math" data-language-autonym="Basa Bali" data-language-local-name="Balinees" class="interlanguage-link-target"><span>Basa Bali</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Bavarian" lang="bar" hreflang="bar" data-title="Modul:Math" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Module:Math" title="Module:Math – Samogitian" lang="sgs" hreflang="sgs" data-title="Module:Math" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Module:Math" title="Module:Math – Central Bikol" lang="bcl" hreflang="bcl" data-title="Module:Math" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Belarussies" lang="be" hreflang="be" data-title="Модуль:Math" data-language-autonym="Беларуская" data-language-local-name="Belarussies" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:%D0%9C%D0%B0%D1%82%D1%8D%D0%BC%D0%B0%D1%82%D1%8B%D1%87%D0%BD%D1%8B" title="Модуль:Матэматычны – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Модуль:Матэматычны" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB:Math" title="Модул:Math – Bulgaars" lang="bg" hreflang="bg" data-title="Модул:Math" data-language-autonym="Български" data-language-local-name="Bulgaars" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/Module:Math" title="Module:Math – Bhojpuri" lang="bh" hreflang="bh" data-title="Module:Math" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bjn mw-list-item"><a href="https://bjn.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Banjar" lang="bjn" hreflang="bjn" data-title="Modul:Math" data-language-autonym="Banjar" data-language-local-name="Banjar" class="interlanguage-link-target"><span>Banjar</span></a></li><li class="interlanguage-link interwiki-blk mw-list-item"><a href="https://blk.wikipedia.org/wiki/%E1%80%99%E1%80%B1%E1%80%AC%E1%80%BA%E1%80%82%E1%80%BB%E1%80%B0%E1%80%B8:Math" title="မော်ဂျူး:Math – Pa'O" lang="blk" hreflang="blk" data-title="မော်ဂျူး:Math" data-language-autonym="ပအိုဝ်ႏဘာႏသာႏ" data-language-local-name="Pa'O" class="interlanguage-link-target"><span>ပအိုဝ်ႏဘာႏသာႏ</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AE%E0%A6%A1%E0%A6%BF%E0%A6%89%E0%A6%B2:Math" title="মডিউল:Math – Bengaals" lang="bn" hreflang="bn" data-title="মডিউল:Math" data-language-autonym="বাংলা" data-language-local-name="Bengaals" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Bosnies" lang="bs" hreflang="bs" data-title="Modul:Math" data-language-autonym="Bosanski" data-language-local-name="Bosnies" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Модуль:Math" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/M%C3%B2dul:Math" title="Mòdul:Math – Katalaans" lang="ca" hreflang="ca" data-title="Mòdul:Math" data-language-autonym="Català" data-language-local-name="Katalaans" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cbk-zam mw-list-item"><a href="https://cbk-zam.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Chavacano" lang="cbk" hreflang="cbk" data-title="Módulo:Math" data-language-autonym="Chavacano de Zamboanga" data-language-local-name="Chavacano" class="interlanguage-link-target"><span>Chavacano de Zamboanga</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/%E6%A8%A1%E7%B5%84:Math" title="模組:Math – Mindong" lang="cdo" hreflang="cdo" data-title="模組:Math" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-ce mw-list-item"><a href="https://ce.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tsjetsjeens" lang="ce" hreflang="ce" data-title="Модуль:Math" data-language-autonym="Нохчийн" data-language-local-name="Tsjetsjeens" class="interlanguage-link-target"><span>Нохчийн</span></a></li><li class="interlanguage-link interwiki-ceb mw-list-item"><a href="https://ceb.wikipedia.org/wiki/Module:Math" title="Module:Math – Cebuano" lang="ceb" hreflang="ceb" data-title="Module:Math" data-language-autonym="Cebuano" data-language-local-name="Cebuano" class="interlanguage-link-target"><span>Cebuano</span></a></li><li class="interlanguage-link interwiki-ch mw-list-item"><a href="https://ch.wikipedia.org/wiki/Module:Math" title="Module:Math – Chamorro" lang="ch" hreflang="ch" data-title="Module:Math" data-language-autonym="Chamoru" data-language-local-name="Chamorro" class="interlanguage-link-target"><span>Chamoru</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%85%DB%86%D8%AF%DB%8C%D9%88%D9%88%D9%84:Math" title="مۆدیوول:Math – Sorani" lang="ckb" hreflang="ckb" data-title="مۆدیوول:Math" data-language-autonym="کوردی" data-language-local-name="Sorani" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-crh mw-list-item"><a href="https://crh.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Crimean Tatar" lang="crh" hreflang="crh" data-title="Modul:Math" data-language-autonym="Qırımtatarca" data-language-local-name="Crimean Tatar" class="interlanguage-link-target"><span>Qırımtatarca</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tsjeggies" lang="cs" hreflang="cs" data-title="Modul:Math" data-language-autonym="Čeština" data-language-local-name="Tsjeggies" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Chuvash" lang="cv" hreflang="cv" data-title="Модуль:Math" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Modiwl:Math" title="Modiwl:Math – Wallies" lang="cy" hreflang="cy" data-title="Modiwl:Math" data-language-autonym="Cymraeg" data-language-local-name="Wallies" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Deens" lang="da" hreflang="da" data-title="Modul:Math" data-language-autonym="Dansk" data-language-local-name="Deens" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-din mw-list-item"><a href="https://din.wikipedia.org/wiki/Muk%C3%A4%C3%A4c%C3%ABt%C3%B6k:Math" title="Mukääcëtök:Math – Dinka" lang="din" hreflang="din" data-title="Mukääcëtök:Math" data-language-autonym="Thuɔŋjäŋ" data-language-local-name="Dinka" class="interlanguage-link-target"><span>Thuɔŋjäŋ</span></a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Zazaki" lang="diq" hreflang="diq" data-title="Modul:Math" data-language-autonym="Zazaki" data-language-local-name="Zazaki" class="interlanguage-link-target"><span>Zazaki</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/Module:Math" title="Module:Math – Grieks" lang="el" hreflang="el" data-title="Module:Math" data-language-autonym="Ελληνικά" data-language-local-name="Grieks" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Module:Math" title="Module:Math – Engels" lang="en" hreflang="en" data-title="Module:Math" data-language-autonym="English" data-language-local-name="Engels" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Modulo:Math" title="Modulo:Math – Esperanto" lang="eo" hreflang="eo" data-title="Modulo:Math" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Spaans" lang="es" hreflang="es" data-title="Módulo:Math" data-language-autonym="Español" data-language-local-name="Spaans" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Moodul:Math" title="Moodul:Math – Estnies" lang="et" hreflang="et" data-title="Moodul:Math" data-language-autonym="Eesti" data-language-local-name="Estnies" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Modulu:Math" title="Modulu:Math – Baskies" lang="eu" hreflang="eu" data-title="Modulu:Math" data-language-autonym="Euskara" data-language-local-name="Baskies" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%BE%D9%88%D8%AF%D9%85%D8%A7%D9%86:Math" title="پودمان:Math – Persies" lang="fa" hreflang="fa" data-title="پودمان:Math" data-language-autonym="فارسی" data-language-local-name="Persies" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Moduuli:Math" title="Moduuli:Math – Fins" lang="fi" hreflang="fi" data-title="Moduuli:Math" data-language-autonym="Suomi" data-language-local-name="Fins" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Module:Math" title="Module:Math – Fidjiaans" lang="fj" hreflang="fj" data-title="Module:Math" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="Fidjiaans" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Module:Math" title="Module:Math – Faroëes" lang="fo" hreflang="fo" data-title="Module:Math" data-language-autonym="Føroyskt" data-language-local-name="Faroëes" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Module:Math" title="Module:Math – Frans" lang="fr" hreflang="fr" data-title="Module:Math" data-language-autonym="Français" data-language-local-name="Frans" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Noord-Fries" lang="frr" hreflang="frr" data-title="Modul:Math" data-language-autonym="Nordfriisk" data-language-local-name="Noord-Fries" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Module:Math" title="Module:Math – Iers" lang="ga" hreflang="ga" data-title="Module:Math" data-language-autonym="Gaeilge" data-language-local-name="Iers" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/M%C3%B2ideal:Math" title="Mòideal:Math – Skotse Gallies" lang="gd" hreflang="gd" data-title="Mòideal:Math" data-language-autonym="Gàidhlig" data-language-local-name="Skotse Gallies" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Galisies" lang="gl" hreflang="gl" data-title="Módulo:Math" data-language-autonym="Galego" data-language-local-name="Galisies" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-glk mw-list-item"><a href="https://glk.wikipedia.org/wiki/%D9%85%D8%A7%D8%AC%DB%8A%D9%84:Math" title="ماجۊل:Math – Gilaki" lang="glk" hreflang="glk" data-title="ماجۊل:Math" data-language-autonym="گیلکی" data-language-local-name="Gilaki" class="interlanguage-link-target"><span>گیلکی</span></a></li><li class="interlanguage-link interwiki-gom mw-list-item"><a href="https://gom.wikipedia.org/wiki/%E0%A4%8F%E0%A4%95%E0%A4%95:Math" title="एकक:Math – Goan Konkani" lang="gom" hreflang="gom" data-title="एकक:Math" data-language-autonym="गोंयची कोंकणी / Gõychi Konknni" data-language-local-name="Goan Konkani" class="interlanguage-link-target"><span>गोंयची कोंकणी / Gõychi Konknni</span></a></li><li class="interlanguage-link interwiki-gor mw-list-item"><a href="https://gor.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Gorontalo" lang="gor" hreflang="gor" data-title="Modul:Math" data-language-autonym="Bahasa Hulontalo" data-language-local-name="Gorontalo" class="interlanguage-link-target"><span>Bahasa Hulontalo</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%B5%E0%AA%BF%E0%AA%AD%E0%AA%BE%E0%AA%97:Math" title="વિભાગ:Math – Goedjarati" lang="gu" hreflang="gu" data-title="વિભાગ:Math" data-language-autonym="ગુજરાતી" data-language-local-name="Goedjarati" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-guc mw-list-item"><a href="https://guc.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Wayuu" lang="guc" hreflang="guc" data-title="Módulo:Math" data-language-autonym="Wayuunaiki" data-language-local-name="Wayuu" class="interlanguage-link-target"><span>Wayuunaiki</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/Module:Math" title="Module:Math – Hausa" lang="ha" hreflang="ha" data-title="Module:Math" data-language-autonym="Hausa" data-language-local-name="Hausa" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/%E6%A8%A1%E7%B5%84:Math" title="模組:Math – Hakka-Sjinees" lang="hak" hreflang="hak" data-title="模組:Math" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Hakka-Sjinees" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-haw mw-list-item"><a href="https://haw.wikipedia.org/wiki/Module:Math" title="Module:Math – Hawais" lang="haw" hreflang="haw" data-title="Module:Math" data-language-autonym="Hawaiʻi" data-language-local-name="Hawais" class="interlanguage-link-target"><span>Hawaiʻi</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%99%D7%97%D7%99%D7%93%D7%94:Math" title="יחידה:Math – Hebreeus" lang="he" hreflang="he" data-title="יחידה:Math" data-language-autonym="עברית" data-language-local-name="Hebreeus" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AE%E0%A5%89%E0%A4%A1%E0%A5%8D%E0%A4%AF%E0%A5%82%E0%A4%B2:Math" title="मॉड्यूल:Math – Hindi" lang="hi" hreflang="hi" data-title="मॉड्यूल:Math" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Kroaties" lang="hr" hreflang="hr" data-title="Modul:Math" data-language-autonym="Hrvatski" data-language-local-name="Kroaties" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Module:Math" title="Module:Math – Haïtiaans" lang="ht" hreflang="ht" data-title="Module:Math" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haïtiaans" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Hongaars" lang="hu" hreflang="hu" data-title="Modul:Math" data-language-autonym="Magyar" data-language-local-name="Hongaars" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%B8%D5%A4%D5%B8%D6%82%D5%AC:Math" title="Մոդուլ:Math – Armeens" lang="hy" hreflang="hy" data-title="Մոդուլ:Math" data-language-autonym="Հայերեն" data-language-local-name="Armeens" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hyw mw-list-item"><a href="https://hyw.wikipedia.org/wiki/%D5%84%D5%B8%D5%A4%D5%B8%D6%82%D5%AC:Math" title="Մոդուլ:Math – Western Armenian" lang="hyw" hreflang="hyw" data-title="Մոդուլ:Math" data-language-autonym="Արեւմտահայերէն" data-language-local-name="Western Armenian" class="interlanguage-link-target"><span>Արեւմտահայերէն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Indonesies" lang="id" hreflang="id" data-title="Modul:Math" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesies" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ig mw-list-item"><a href="https://ig.wikipedia.org/wiki/Module:Math" title="Module:Math – Igbo" lang="ig" hreflang="ig" data-title="Module:Math" data-language-autonym="Igbo" data-language-local-name="Igbo" class="interlanguage-link-target"><span>Igbo</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Modulo:Math" title="Modulo:Math – Iloko" lang="ilo" hreflang="ilo" data-title="Modulo:Math" data-language-autonym="Ilokano" data-language-local-name="Iloko" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-inh mw-list-item"><a href="https://inh.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Ingush" lang="inh" hreflang="inh" data-title="Модуль:Math" data-language-autonym="ГӀалгӀай" data-language-local-name="Ingush" class="interlanguage-link-target"><span>ГӀалгӀай</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Module:Math" title="Module:Math – Yslands" lang="is" hreflang="is" data-title="Module:Math" data-language-autonym="Íslenska" data-language-local-name="Yslands" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Modulo:Math" title="Modulo:Math – Italiaans" lang="it" hreflang="it" data-title="Modulo:Math" data-language-autonym="Italiano" data-language-local-name="Italiaans" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%A2%E3%82%B8%E3%83%A5%E3%83%BC%E3%83%AB:Math" title="モジュール:Math – Japannees" lang="ja" hreflang="ja" data-title="モジュール:Math" data-language-autonym="日本語" data-language-local-name="Japannees" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Module:Math" title="Module:Math – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Module:Math" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Modhul:Math" title="Modhul:Math – Javaans" lang="jv" hreflang="jv" data-title="Modhul:Math" data-language-autonym="Jawa" data-language-local-name="Javaans" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%9D%E1%83%93%E1%83%A3%E1%83%9A%E1%83%98:Math" title="მოდული:Math – Georgies" lang="ka" hreflang="ka" data-title="მოდული:Math" data-language-autonym="ქართული" data-language-local-name="Georgies" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/Module:Math" title="Module:Math – Kara-Kalpak" lang="kaa" hreflang="kaa" data-title="Module:Math" data-language-autonym="Qaraqalpaqsha" data-language-local-name="Kara-Kalpak" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Module:Math" title="Module:Math – Kabyle" lang="kab" hreflang="kab" data-title="Module:Math" data-language-autonym="Taqbaylit" data-language-local-name="Kabyle" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kcg mw-list-item"><a href="https://kcg.wikipedia.org/wiki/Module:Math" title="Module:Math – Tyap" lang="kcg" hreflang="kcg" data-title="Module:Math" data-language-autonym="Tyap" data-language-local-name="Tyap" class="interlanguage-link-target"><span>Tyap</span></a></li><li class="interlanguage-link interwiki-kg mw-list-item"><a href="https://kg.wikipedia.org/wiki/Module:Math" title="Module:Math – Kongolees" lang="kg" hreflang="kg" data-title="Module:Math" data-language-autonym="Kongo" data-language-local-name="Kongolees" class="interlanguage-link-target"><span>Kongo</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/Module:Math" title="Module:Math – Kazaks" lang="kk" hreflang="kk" data-title="Module:Math" data-language-autonym="Қазақша" data-language-local-name="Kazaks" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%AE%E0%B2%BE%E0%B2%A1%E0%B3%8D%E0%B2%AF%E0%B3%82%E0%B2%B2%E0%B3%8D:Math" title="ಮಾಡ್ಯೂಲ್:Math – Kannada" lang="kn" hreflang="kn" data-title="ಮಾಡ್ಯೂಲ್:Math" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%AA%A8%EB%93%88:Math" title="모듈:Math – Koreaans" lang="ko" hreflang="ko" data-title="모듈:Math" data-language-autonym="한국어" data-language-local-name="Koreaans" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Koerdies" lang="ku" hreflang="ku" data-title="Modul:Math" data-language-autonym="Kurdî" data-language-local-name="Koerdies" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Kirgisies" lang="ky" hreflang="ky" data-title="Модуль:Math" data-language-autonym="Кыргызча" data-language-local-name="Kirgisies" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Modulus:Math" title="Modulus:Math – Latyn" lang="la" hreflang="la" data-title="Modulus:Math" data-language-autonym="Latina" data-language-local-name="Latyn" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Luxemburgs" lang="lb" hreflang="lb" data-title="Modul:Math" data-language-autonym="Lëtzebuergesch" data-language-local-name="Luxemburgs" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lez mw-list-item"><a href="https://lez.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Lezghies" lang="lez" hreflang="lez" data-title="Модуль:Math" data-language-autonym="Лезги" data-language-local-name="Lezghies" class="interlanguage-link-target"><span>Лезги</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/Module:Math" title="Module:Math – Lao" lang="lo" hreflang="lo" data-title="Module:Math" data-language-autonym="ລາວ" data-language-local-name="Lao" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Module:Math" title="Module:Math – Litaus" lang="lt" hreflang="lt" data-title="Module:Math" data-language-autonym="Lietuvių" data-language-local-name="Litaus" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-ltg mw-list-item"><a href="https://ltg.wikipedia.org/wiki/Modulis:Math" title="Modulis:Math – Latgalian" lang="ltg" hreflang="ltg" data-title="Modulis:Math" data-language-autonym="Latgaļu" data-language-local-name="Latgalian" class="interlanguage-link-target"><span>Latgaļu</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Modulis:Math" title="Modulis:Math – Letties" lang="lv" hreflang="lv" data-title="Modulis:Math" data-language-autonym="Latviešu" data-language-local-name="Letties" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mad mw-list-item"><a href="https://mad.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Madurees" lang="mad" hreflang="mad" data-title="Modul:Math" data-language-autonym="Madhurâ" data-language-local-name="Madurees" class="interlanguage-link-target"><span>Madhurâ</span></a></li><li class="interlanguage-link interwiki-mai mw-list-item"><a href="https://mai.wikipedia.org/wiki/%E0%A4%AE%E0%A5%8B%E0%A4%A1%E0%A5%8D%E0%A4%AF%E0%A5%81%E0%A4%B2:Math" title="मोड्युल:Math – Maithili" lang="mai" hreflang="mai" data-title="मोड्युल:Math" data-language-autonym="मैथिली" data-language-local-name="Maithili" class="interlanguage-link-target"><span>मैथिली</span></a></li><li class="interlanguage-link interwiki-map-bms mw-list-item"><a href="https://map-bms.wikipedia.org/wiki/Modhul:Math" title="Modhul:Math – Banyumasan" lang="jv-x-bms" hreflang="jv-x-bms" data-title="Modhul:Math" data-language-autonym="Basa Banyumasan" data-language-local-name="Banyumasan" class="interlanguage-link-target"><span>Basa Banyumasan</span></a></li><li class="interlanguage-link interwiki-mdf mw-list-item"><a href="https://mdf.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Moksha" lang="mdf" hreflang="mdf" data-title="Модуль:Math" data-language-autonym="Мокшень" data-language-local-name="Moksha" class="interlanguage-link-target"><span>Мокшень</span></a></li><li class="interlanguage-link interwiki-min mw-list-item"><a href="https://min.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Minangkabaus" lang="min" hreflang="min" data-title="Modul:Math" data-language-autonym="Minangkabau" data-language-local-name="Minangkabaus" class="interlanguage-link-target"><span>Minangkabau</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB:Math" title="Модул:Math – Masedonies" lang="mk" hreflang="mk" data-title="Модул:Math" data-language-autonym="Македонски" data-language-local-name="Masedonies" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%98%E0%B4%9F%E0%B4%95%E0%B4%82:Math" title="ഘടകം:Math – Malabaars" lang="ml" hreflang="ml" data-title="ഘടകം:Math" data-language-autonym="മലയാളം" data-language-local-name="Malabaars" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mnw mw-list-item"><a href="https://mnw.wikipedia.org/wiki/%E1%80%99%E1%80%9D%E1%80%BA%E1%80%82%E1%80%BB%E1%80%B0:Math" title="မဝ်ဂျူ:Math – Mon" lang="mnw" hreflang="mnw" data-title="မဝ်ဂျူ:Math" data-language-autonym="ဘာသာမန်" data-language-local-name="Mon" class="interlanguage-link-target"><span>ဘာသာမန်</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%AD%E0%A4%BE%E0%A4%97:Math" title="विभाग:Math – Marathi" lang="mr" hreflang="mr" data-title="विभाग:Math" data-language-autonym="मराठी" data-language-local-name="Marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Maleis" lang="ms" hreflang="ms" data-title="Modul:Math" data-language-autonym="Bahasa Melayu" data-language-local-name="Maleis" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Mirandees" lang="mwl" hreflang="mwl" data-title="Módulo:Math" data-language-autonym="Mirandés" data-language-local-name="Mirandees" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%99%E1%80%B1%E1%80%AC%E1%80%BA%E1%80%82%E1%80%BB%E1%80%B0%E1%80%B8:Math" title="မော်ဂျူး:Math – Birmaans" lang="my" hreflang="my" data-title="မော်ဂျူး:Math" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Birmaans" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-mzn mw-list-item"><a href="https://mzn.wikipedia.org/wiki/%D9%85%D8%A7%DA%98%D9%88%D9%84:Math" title="ماژول:Math – Masanderani" lang="mzn" hreflang="mzn" data-title="ماژول:Math" data-language-autonym="مازِرونی" data-language-local-name="Masanderani" class="interlanguage-link-target"><span>مازِرونی</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%AE%E0%A5%8B%E0%A4%A1%E0%A5%8D%E0%A4%AF%E0%A5%81%E0%A4%B2:Math" title="मोड्युल:Math – Nepalees" lang="ne" hreflang="ne" data-title="मोड्युल:Math" data-language-autonym="नेपाली" data-language-local-name="Nepalees" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/Module:Math" title="Module:Math – Newari" lang="new" hreflang="new" data-title="Module:Math" data-language-autonym="नेपाल भाषा" data-language-local-name="Newari" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nia mw-list-item"><a href="https://nia.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Nias" lang="nia" hreflang="nia" data-title="Modul:Math" data-language-autonym="Li Niha" data-language-local-name="Nias" class="interlanguage-link-target"><span>Li Niha</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Module:Math" title="Module:Math – Nederlands" lang="nl" hreflang="nl" data-title="Module:Math" data-language-autonym="Nederlands" data-language-local-name="Nederlands" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Nuwe Noors" lang="nn" hreflang="nn" data-title="Modul:Math" data-language-autonym="Norsk nynorsk" data-language-local-name="Nuwe Noors" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Boeknoors" lang="nb" hreflang="nb" data-title="Modul:Math" data-language-autonym="Norsk bokmål" data-language-local-name="Boeknoors" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nqo mw-list-item"><a href="https://nqo.wikipedia.org/wiki/%DF%97%DF%8B%DF%AC%DF%9E%DF%99%DF%8A%DF%9E%DF%8F:Math" title="ߗߋ߬ߞߙߊߞߏ:Math – N’Ko" lang="nqo" hreflang="nqo" data-title="ߗߋ߬ߞߙߊߞߏ:Math" data-language-autonym="ߒߞߏ" data-language-local-name="N’Ko" class="interlanguage-link-target"><span>ߒߞߏ</span></a></li><li class="interlanguage-link interwiki-ny mw-list-item"><a href="https://ny.wikipedia.org/wiki/Module:Math" title="Module:Math – Nyanja" lang="ny" hreflang="ny" data-title="Module:Math" data-language-autonym="Chi-Chewa" data-language-local-name="Nyanja" class="interlanguage-link-target"><span>Chi-Chewa</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/M%C3%B2dul:Math" title="Mòdul:Math – Oksitaans" lang="oc" hreflang="oc" data-title="Mòdul:Math" data-language-autonym="Occitan" data-language-local-name="Oksitaans" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-olo mw-list-item"><a href="https://olo.wikipedia.org/wiki/Moduuli:Math" title="Moduuli:Math – Livvi-Karelian" lang="olo" hreflang="olo" data-title="Moduuli:Math" data-language-autonym="Livvinkarjala" data-language-local-name="Livvi-Karelian" class="interlanguage-link-target"><span>Livvinkarjala</span></a></li><li class="interlanguage-link interwiki-or mw-list-item"><a href="https://or.wikipedia.org/wiki/%E0%AC%AE%E0%AC%A1%E0%AD%8D%E0%AD%9F%E0%AD%81%E0%AC%B2:Math" title="ମଡ୍ୟୁଲ:Math – Oriya" lang="or" hreflang="or" data-title="ମଡ୍ୟୁଲ:Math" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="Oriya" class="interlanguage-link-target"><span>ଓଡ଼ିଆ</span></a></li><li class="interlanguage-link interwiki-os mw-list-item"><a href="https://os.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Osseties" lang="os" hreflang="os" data-title="Модуль:Math" data-language-autonym="Ирон" data-language-local-name="Osseties" class="interlanguage-link-target"><span>Ирон</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%AE%E0%A9%8C%E0%A8%A1%E0%A8%BF%E0%A8%8A%E0%A8%B2:Math" title="ਮੌਡਿਊਲ:Math – Pandjabi" lang="pa" hreflang="pa" data-title="ਮੌਡਿਊਲ:Math" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Pandjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pag mw-list-item"><a href="https://pag.wikipedia.org/wiki/Module:Math" title="Module:Math – Pangasinan" lang="pag" hreflang="pag" data-title="Module:Math" data-language-autonym="Pangasinan" data-language-local-name="Pangasinan" class="interlanguage-link-target"><span>Pangasinan</span></a></li><li class="interlanguage-link interwiki-pap mw-list-item"><a href="https://pap.wikipedia.org/wiki/Module:Math" title="Module:Math – Papiamento" lang="pap" hreflang="pap" data-title="Module:Math" data-language-autonym="Papiamentu" data-language-local-name="Papiamento" class="interlanguage-link-target"><span>Papiamentu</span></a></li><li class="interlanguage-link interwiki-pih mw-list-item"><a href="https://pih.wikipedia.org/wiki/Module:Math" title="Module:Math – Norfuk / Pitkern" lang="pih" hreflang="pih" data-title="Module:Math" data-language-autonym="Norfuk / Pitkern" data-language-local-name="Norfuk / Pitkern" class="interlanguage-link-target"><span>Norfuk / Pitkern</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Modu%C5%82:Math" title="Moduł:Math – Pools" lang="pl" hreflang="pl" data-title="Moduł:Math" data-language-autonym="Polski" data-language-local-name="Pools" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/Module:Math" title="Module:Math – Pasjtoe" lang="ps" hreflang="ps" data-title="Module:Math" data-language-autonym="پښتو" data-language-local-name="Pasjtoe" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Portugees" lang="pt" hreflang="pt" data-title="Módulo:Math" data-language-autonym="Português" data-language-local-name="Portugees" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-rn mw-list-item"><a href="https://rn.wikipedia.org/wiki/Module:Math" title="Module:Math – Rundi" lang="rn" hreflang="rn" data-title="Module:Math" data-language-autonym="Ikirundi" data-language-local-name="Rundi" class="interlanguage-link-target"><span>Ikirundi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Modul:Matematic%C4%83" title="Modul:Matematică – Roemeens" lang="ro" hreflang="ro" data-title="Modul:Matematică" data-language-autonym="Română" data-language-local-name="Roemeens" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Russies" lang="ru" hreflang="ru" data-title="Модуль:Math" data-language-autonym="Русский" data-language-local-name="Russies" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%AA%E0%A4%9F%E0%A4%B2%E0%A4%AE%E0%A5%8D:Math" title="पटलम्:Math – Sanskrit" lang="sa" hreflang="sa" data-title="पटलम्:Math" data-language-autonym="संस्कृतम्" data-language-local-name="Sanskrit" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Sakhaans" lang="sah" hreflang="sah" data-title="Модуль:Math" data-language-autonym="Саха тыла" data-language-local-name="Sakhaans" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-sat mw-list-item"><a href="https://sat.wikipedia.org/wiki/%E1%B1%A2%E1%B1%B3%E1%B1%B0%E1%B1%A9%E1%B1%9E:Math" title="ᱢᱳᱰᱩᱞ:Math – Santalies" lang="sat" hreflang="sat" data-title="ᱢᱳᱰᱩᱞ:Math" data-language-autonym="ᱥᱟᱱᱛᱟᱲᱤ" data-language-local-name="Santalies" class="interlanguage-link-target"><span>ᱥᱟᱱᱛᱟᱲᱤ</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Module:Math" title="Module:Math – Skots" lang="sco" hreflang="sco" data-title="Module:Math" data-language-autonym="Scots" data-language-local-name="Skots" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D9%85%D8%A7%DA%8A%D9%8A%D9%88%D9%84:Math" title="ماڊيول:Math – Sindhi" lang="sd" hreflang="sd" data-title="ماڊيول:Math" data-language-autonym="سنڌي" data-language-local-name="Sindhi" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Serwo-Kroaties" lang="sh" hreflang="sh" data-title="Modul:Math" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serwo-Kroaties" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-shn mw-list-item"><a href="https://shn.wikipedia.org/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 – Shan" lang="shn" hreflang="shn" data-title="မေႃႇၵျူး:Math" data-language-autonym="ၽႃႇသႃႇတႆး " data-language-local-name="Shan" class="interlanguage-link-target"><span>ၽႃႇသႃႇတႆး </span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/Module:Math" title="Module:Math – Sinhala" lang="si" hreflang="si" data-title="Module:Math" data-language-autonym="සිංහල" data-language-local-name="Sinhala" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Module:Math" title="Module:Math – Simple English" lang="en-simple" hreflang="en-simple" data-title="Module:Math" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Slowaaks" lang="sk" hreflang="sk" data-title="Modul:Math" data-language-autonym="Slovenčina" data-language-local-name="Slowaaks" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Sloweens" lang="sl" hreflang="sl" data-title="Modul:Math" data-language-autonym="Slovenščina" data-language-local-name="Sloweens" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Module:Math" title="Module:Math – Shona" lang="sn" hreflang="sn" data-title="Module:Math" data-language-autonym="ChiShona" data-language-local-name="Shona" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Module:Math" title="Module:Math – Somalies" lang="so" hreflang="so" data-title="Module:Math" data-language-autonym="Soomaaliga" data-language-local-name="Somalies" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB:Math" title="Модул:Math – Serwies" lang="sr" hreflang="sr" data-title="Модул:Math" data-language-autonym="Српски / srpski" data-language-local-name="Serwies" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Sweeds" lang="sv" hreflang="sv" data-title="Modul:Math" data-language-autonym="Svenska" data-language-local-name="Sweeds" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-szy mw-list-item"><a href="https://szy.wikipedia.org/wiki/bacu-saupu:Math" title="bacu-saupu:Math – Sakizaya" lang="szy" hreflang="szy" data-title="bacu-saupu:Math" data-language-autonym="Sakizaya" data-language-local-name="Sakizaya" class="interlanguage-link-target"><span>Sakizaya</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/Module:Math" title="Module:Math – Tamil" lang="ta" hreflang="ta" data-title="Module:Math" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tdd mw-list-item"><a href="https://tdd.wikipedia.org/wiki/%E1%A5%9B%E1%A5%A8%E1%A5%9D%E1%A5%B1_%E1%A5%93%E1%A5%A7%E1%A5%B0:Math" title="ᥛᥨᥝᥱ ᥓᥧᥰ:Math – Tai Nuea" lang="tdd" hreflang="tdd" data-title="ᥛᥨᥝᥱ ᥓᥧᥰ:Math" data-language-autonym="ᥖᥭᥰ ᥖᥬᥲ ᥑᥨᥒᥰ" data-language-local-name="Tai Nuea" class="interlanguage-link-target"><span>ᥖᥭᥰ ᥖᥬᥲ ᥑᥨᥒᥰ</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%AE%E0%B0%BE%E0%B0%A1%E0%B1%8D%E0%B0%AF%E0%B1%82%E0%B0%B2%E0%B1%8D:Math" title="మాడ్యూల్:Math – Teloegoe" lang="te" hreflang="te" data-title="మాడ్యూల్:Math" data-language-autonym="తెలుగు" data-language-local-name="Teloegoe" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB:Math" title="Модул:Math – Tadjiks" lang="tg" hreflang="tg" data-title="Модул:Math" data-language-autonym="Тоҷикӣ" data-language-local-name="Tadjiks" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A1%E0%B8%AD%E0%B8%94%E0%B8%B9%E0%B8%A5:Math" title="มอดูล:Math – Thai" lang="th" hreflang="th" data-title="มอดูล:Math" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-ti mw-list-item"><a href="https://ti.wikipedia.org/wiki/%E1%88%9E%E1%8B%B5%E1%8B%A9%E1%88%8D:Math" title="ሞድዩል:Math – Tigrinya" lang="ti" hreflang="ti" data-title="ሞድዩል:Math" data-language-autonym="ትግርኛ" data-language-local-name="Tigrinya" class="interlanguage-link-target"><span>ትግርኛ</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/Module:Math" title="Module:Math – Turkmeens" lang="tk" hreflang="tk" data-title="Module:Math" data-language-autonym="Türkmençe" data-language-local-name="Turkmeens" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Module:Math" title="Module:Math – Tagalog" lang="tl" hreflang="tl" data-title="Module:Math" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tn mw-list-item"><a href="https://tn.wikipedia.org/wiki/Module:Math" title="Module:Math – Tswana" lang="tn" hreflang="tn" data-title="Module:Math" data-language-autonym="Setswana" data-language-local-name="Tswana" class="interlanguage-link-target"><span>Setswana</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Mod%C3%BCl:Math" title="Modül:Math – Turks" lang="tr" hreflang="tr" data-title="Modül:Math" data-language-autonym="Türkçe" data-language-local-name="Turks" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tataars" lang="tt" hreflang="tt" data-title="Модуль:Math" data-language-autonym="Татарча / tatarça" data-language-local-name="Tataars" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-udm mw-list-item"><a href="https://udm.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Udmurt" lang="udm" hreflang="udm" data-title="Модуль:Math" data-language-autonym="Удмурт" data-language-local-name="Udmurt" class="interlanguage-link-target"><span>Удмурт</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Oekraïens" lang="uk" hreflang="uk" data-title="Модуль:Math" data-language-autonym="Українська" data-language-local-name="Oekraïens" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%85%D8%A7%DA%88%DB%8C%D9%88%D9%84:Math" title="ماڈیول:Math – Oerdoe" lang="ur" hreflang="ur" data-title="ماڈیول:Math" data-language-autonym="اردو" data-language-local-name="Oerdoe" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Oezbeeks" lang="uz" hreflang="uz" data-title="Modul:Math" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Oezbeeks" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Modulo:Math" title="Modulo:Math – Venetian" lang="vec" hreflang="vec" data-title="Modulo:Math" data-language-autonym="Vèneto" data-language-local-name="Venetian" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/M%C3%B4_%C4%91un:Math" title="Mô đun:Math – Viëtnamees" lang="vi" hreflang="vi" data-title="Mô đun:Math" data-language-autonym="Tiếng Việt" data-language-local-name="Viëtnamees" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vo mw-list-item"><a href="https://vo.wikipedia.org/wiki/Module:Math" title="Module:Math – Volapük" lang="vo" hreflang="vo" data-title="Module:Math" data-language-autonym="Volapük" data-language-local-name="Volapük" class="interlanguage-link-target"><span>Volapük</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Module:Math" title="Module:Math – Waray" lang="war" hreflang="war" data-title="Module:Math" data-language-autonym="Winaray" data-language-local-name="Waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%A8%A1%E5%9D%97:Math" title="模块:Math – Wu-Sjinees" lang="wuu" hreflang="wuu" data-title="模块:Math" data-language-autonym="吴语" data-language-local-name="Wu-Sjinees" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/Module:Math" title="Module:Math – Xhosa" lang="xh" hreflang="xh" data-title="Module:Math" data-language-autonym="IsiXhosa" data-language-local-name="Xhosa" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%99%D7%97%D7%99%D7%93%D7%94:Math" title="יחידה:Math – Jiddisj" lang="yi" hreflang="yi" data-title="יחידה:Math" data-language-autonym="ייִדיש" data-language-local-name="Jiddisj" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/Module:Math" title="Module:Math – Chinees" lang="zh" hreflang="zh" data-title="Module:Math" data-language-autonym="中文" data-language-local-name="Chinees" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E6%A8%A1%E7%B5%84:Math" title="模組:Math – Literary Chinese" lang="lzh" hreflang="lzh" data-title="模組:Math" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/%E6%A8%A1%E7%B5%84:Math" title="模組:Math – Min Nan-Sjinees" lang="nan" hreflang="nan" data-title="模組:Math" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Min Nan-Sjinees" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%A8%A1%E7%B5%84:Math" title="模組:Math – Kantonees" lang="yue" hreflang="yue" data-title="模組:Math" data-language-autonym="粵語" data-language-local-name="Kantonees" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/Module:Math" title="Module:Math – Zoeloe" lang="zu" hreflang="zu" data-title="Module:Math" data-language-autonym="IsiZulu" data-language-local-name="Zoeloe" class="interlanguage-link-target"><span>IsiZulu</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q7328853#sitelinks-wikipedia" title="Wysig skakels tussen tale" class="wbc-editpage">Wysig skakels</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Naamruimtes"> <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/Module: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=Module_talk:Math&action=edit&redlink=1" rel="discussion" class="new" title="Bespreking oor die inhoudbladsy (bladsy bestaan nie) [t]" accesskey="t"><span>Bespreking</span></a></li> </ul> </div> </div> <div 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geskiedenis</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Algemeen </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Spesiaal:Skakels_hierheen/Module:Math" title="'n Lys bladsye wat hierheen skakel [j]" accesskey="j"><span>Skakels hierheen</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Spesiaal:OnlangseVeranderingsMetSkakels/Module:Math" rel="nofollow" title="Onlangse wysigings aan bladsye wat vanaf hierdie bladsy geskakel is [k]" accesskey="k"><span>Verwante veranderings</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Spesiaal:Spesiale_bladsye" title="'n Lys van al die spesiale bladsye [q]" accesskey="q"><span>Spesiale bladsye</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Module:Math&oldid=2116219" title="'n Permanente skakel na hierdie weergawe van die bladsy"><span>Permanente skakel</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Module:Math&action=info" title="More information about this page"><span>Bladinligting</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Spesiaal:UrlShortener&url=https%3A%2F%2Faf.wikipedia.org%2Fwiki%2FModule%3AMath"><span>Kry verkorte URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Spesiaal:QrCode&url=https%3A%2F%2Faf.wikipedia.org%2Fwiki%2FModule%3AMath"><span>Laai QR-kode af</span></a></li> </ul> </div> </div> <div id="p-electronpdfservice-sidebar-portlet-heading" class="vector-menu mw-portlet mw-portlet-electronpdfservice-sidebar-portlet-heading" > <div class="vector-menu-heading"> Print/export </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="electron-print_pdf" class="mw-list-item"><a href="/w/index.php?title=Spesiaal:DownloadAsPdf&page=Module%3AMath&action=show-download-screen"><span>Download as PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="javascript:print();" rel="alternate" title="Drukbare weergawe van hierdie bladsy [p]" accesskey="p"><span>Drukbare weergawe</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"> Ander projekte </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Module:Math" hreflang="en"><span>Wikimedia Commons</span></a></li><li class="wb-otherproject-link wb-otherproject-meta mw-list-item"><a href="https://meta.wikimedia.org/wiki/Module:Math" hreflang="en"><span>Meta-Wiki</span></a></li><li class="wb-otherproject-link wb-otherproject-outreach mw-list-item"><a href="https://outreach.wikimedia.org/wiki/Module:Math" hreflang="en"><span>Wikimedia Outreach</span></a></li><li class="wb-otherproject-link wb-otherproject-species mw-list-item"><a href="https://species.wikimedia.org/wiki/Module:Math" hreflang="en"><span>Wikispesies</span></a></li><li class="wb-otherproject-link wb-otherproject-wikidata mw-list-item"><a href="https://www.wikidata.org/wiki/Module:Math" hreflang="en"><span>Wikidata</span></a></li><li class="wb-otherproject-link wb-otherproject-wikimania mw-list-item"><a href="https://wikimania.wikimedia.org/wiki/Module:Math" hreflang="en"><span>Wikimania</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q7328853" title="Skakel na gekonnekteerde databank item [g]" accesskey="g"><span>Wikidata-item</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Voorkoms"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Voorkoms</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">skuif na kantbalk</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">versteek</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 id="siteSub" class="noprint">in Wikipedia, die vrye ensiklopedie</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="af" dir="ltr"><p><i>Dokumentasie vir hierdie module kan geskep word by: <a href="/w/index.php?title=Module:Math/doc&action=edit&redlink=1" class="new" title="Module:Math/doc (bladsy bestaan nie)">Module:Math/doc</a></i> </p><div class="mw-highlight mw-highlight-lang-lua mw-content-ltr mw-highlight-lines" dir="ltr"><pre><span></span><span id="L-1"><a href="#L-1"><span class="linenos" data-line="1"></span></a><span class="cm">--[[</span> </span><span id="L-2"><a href="#L-2"><span class="linenos" data-line="2"></span></a> </span><span id="L-3"><a href="#L-3"><span class="linenos" data-line="3"></span></a><span class="cm">This module provides a number of basic mathematical operations.</span> </span><span id="L-4"><a href="#L-4"><span class="linenos" data-line="4"></span></a> </span><span id="L-5"><a href="#L-5"><span class="linenos" data-line="5"></span></a><span class="cm">]]</span> </span><span id="L-6"><a href="#L-6"><span class="linenos" data-line="6"></span></a> </span><span id="L-7"><a href="#L-7"><span class="linenos" data-line="7"></span></a><span class="kd">local</span> <span class="n">yesno</span><span class="p">,</span> <span class="n">getArgs</span> <span class="c1">-- lazily initialized</span> </span><span id="L-8"><a href="#L-8"><span class="linenos" data-line="8"></span></a> </span><span id="L-9"><a href="#L-9"><span class="linenos" data-line="9"></span></a><span class="kd">local</span> <span class="n">p</span> <span class="o">=</span> <span class="p">{}</span> <span class="c1">-- Holds functions to be returned from #invoke, and functions to make available to other Lua modules.</span> </span><span id="L-10"><a href="#L-10"><span class="linenos" data-line="10"></span></a><span class="kd">local</span> <span class="n">wrap</span> <span class="o">=</span> <span class="p">{}</span> <span class="c1">-- Holds wrapper functions that process arguments from #invoke. These act as intemediary between functions meant for #invoke and functions meant for Lua.</span> </span><span id="L-11"><a href="#L-11"><span class="linenos" data-line="11"></span></a> </span><span id="L-12"><a href="#L-12"><span class="linenos" data-line="12"></span></a><span class="cm">--[[</span> </span><span id="L-13"><a href="#L-13"><span class="linenos" data-line="13"></span></a><span class="cm">Helper functions used to avoid redundant code.</span> </span><span id="L-14"><a href="#L-14"><span class="linenos" data-line="14"></span></a><span class="cm">]]</span> </span><span id="L-15"><a href="#L-15"><span class="linenos" data-line="15"></span></a> </span><span id="L-16"><a href="#L-16"><span class="linenos" data-line="16"></span></a><span class="kd">local</span> <span class="kr">function</span> <span class="nf">err</span><span class="p">(</span><span class="n">msg</span><span class="p">)</span> </span><span id="L-17"><a href="#L-17"><span class="linenos" data-line="17"></span></a> <span class="c1">-- Generates wikitext error messages.</span> </span><span id="L-18"><a href="#L-18"><span class="linenos" data-line="18"></span></a> <span class="kr">return</span> <span class="n">mw</span><span class="p">.</span><span class="n">ustring</span><span class="p">.</span><span class="n">format</span><span class="p">(</span><span class="s1">'<strong class="error">Formatting error: %s</strong>'</span><span class="p">,</span> <span class="n">msg</span><span class="p">)</span> </span><span id="L-19"><a href="#L-19"><span class="linenos" data-line="19"></span></a><span class="kr">end</span> </span><span id="L-20"><a href="#L-20"><span class="linenos" data-line="20"></span></a> </span><span id="L-21"><a href="#L-21"><span class="linenos" data-line="21"></span></a><span class="kd">local</span> <span class="kr">function</span> <span class="nf">unpackNumberArgs</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-22"><a href="#L-22"><span class="linenos" data-line="22"></span></a> <span class="c1">-- Returns an unpacked list of arguments specified with numerical keys.</span> </span><span id="L-23"><a href="#L-23"><span class="linenos" data-line="23"></span></a> <span class="kd">local</span> <span class="n">ret</span> <span class="o">=</span> <span class="p">{}</span> </span><span id="L-24"><a href="#L-24"><span class="linenos" data-line="24"></span></a> <span class="kr">for</span> <span class="n">k</span><span class="p">,</span> <span class="n">v</span> <span class="kr">in</span> <span class="nb">pairs</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> <span class="kr">do</span> </span><span id="L-25"><a href="#L-25"><span class="linenos" data-line="25"></span></a> <span class="kr">if</span> <span class="nb">type</span><span class="p">(</span><span class="n">k</span><span class="p">)</span> <span class="o">==</span> <span class="s1">'number'</span> <span class="kr">then</span> </span><span id="L-26"><a href="#L-26"><span class="linenos" data-line="26"></span></a> <span class="nb">table.insert</span><span class="p">(</span><span class="n">ret</span><span class="p">,</span> <span class="n">v</span><span class="p">)</span> </span><span id="L-27"><a href="#L-27"><span class="linenos" data-line="27"></span></a> <span class="kr">end</span> </span><span id="L-28"><a href="#L-28"><span class="linenos" data-line="28"></span></a> <span class="kr">end</span> </span><span id="L-29"><a href="#L-29"><span class="linenos" data-line="29"></span></a> <span class="kr">return</span> <span class="n">unpack</span><span class="p">(</span><span class="n">ret</span><span class="p">)</span> </span><span id="L-30"><a href="#L-30"><span class="linenos" data-line="30"></span></a><span class="kr">end</span> </span><span id="L-31"><a href="#L-31"><span class="linenos" data-line="31"></span></a> </span><span id="L-32"><a href="#L-32"><span class="linenos" data-line="32"></span></a><span class="kd">local</span> <span class="kr">function</span> <span class="nf">makeArgArray</span><span class="p">(...)</span> </span><span id="L-33"><a href="#L-33"><span class="linenos" data-line="33"></span></a> <span class="c1">-- Makes an array of arguments from a list of arguments that might include nils.</span> </span><span id="L-34"><a href="#L-34"><span class="linenos" data-line="34"></span></a> <span class="kd">local</span> <span class="n">args</span> <span class="o">=</span> <span class="p">{...}</span> <span class="c1">-- Table of arguments. It might contain nils or non-number values, so we can't use ipairs.</span> </span><span id="L-35"><a href="#L-35"><span class="linenos" data-line="35"></span></a> <span class="kd">local</span> <span class="n">nums</span> <span class="o">=</span> <span class="p">{}</span> <span class="c1">-- Stores the numbers of valid numerical arguments.</span> </span><span id="L-36"><a href="#L-36"><span class="linenos" data-line="36"></span></a> <span class="kd">local</span> <span class="n">ret</span> <span class="o">=</span> <span class="p">{}</span> </span><span id="L-37"><a href="#L-37"><span class="linenos" data-line="37"></span></a> <span class="kr">for</span> <span class="n">k</span><span class="p">,</span> <span class="n">v</span> <span class="kr">in</span> <span class="nb">pairs</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> <span class="kr">do</span> </span><span id="L-38"><a href="#L-38"><span class="linenos" data-line="38"></span></a> <span class="n">v</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_cleanNumber</span><span class="p">(</span><span class="n">v</span><span class="p">)</span> </span><span id="L-39"><a href="#L-39"><span class="linenos" data-line="39"></span></a> <span class="kr">if</span> <span class="n">v</span> <span class="kr">then</span> </span><span id="L-40"><a href="#L-40"><span class="linenos" data-line="40"></span></a> <span class="n">nums</span><span class="p">[</span><span class="o">#</span><span class="n">nums</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">k</span> </span><span id="L-41"><a href="#L-41"><span class="linenos" data-line="41"></span></a> <span class="n">args</span><span class="p">[</span><span class="n">k</span><span class="p">]</span> <span class="o">=</span> <span class="n">v</span> </span><span id="L-42"><a href="#L-42"><span class="linenos" data-line="42"></span></a> <span class="kr">end</span> </span><span id="L-43"><a href="#L-43"><span class="linenos" data-line="43"></span></a> <span class="kr">end</span> </span><span id="L-44"><a href="#L-44"><span class="linenos" data-line="44"></span></a> <span class="nb">table.sort</span><span class="p">(</span><span class="n">nums</span><span class="p">)</span> </span><span id="L-45"><a href="#L-45"><span class="linenos" data-line="45"></span></a> <span class="kr">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">num</span> <span class="kr">in</span> <span class="nb">ipairs</span><span class="p">(</span><span class="n">nums</span><span class="p">)</span> <span class="kr">do</span> </span><span id="L-46"><a href="#L-46"><span class="linenos" data-line="46"></span></a> <span class="n">ret</span><span class="p">[</span><span class="o">#</span><span class="n">ret</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">args</span><span class="p">[</span><span class="n">num</span><span class="p">]</span> </span><span id="L-47"><a href="#L-47"><span class="linenos" data-line="47"></span></a> <span class="kr">end</span> </span><span id="L-48"><a href="#L-48"><span class="linenos" data-line="48"></span></a> <span class="kr">return</span> <span class="n">ret</span> </span><span id="L-49"><a href="#L-49"><span class="linenos" data-line="49"></span></a><span class="kr">end</span> </span><span id="L-50"><a href="#L-50"><span class="linenos" data-line="50"></span></a> </span><span id="L-51"><a href="#L-51"><span class="linenos" data-line="51"></span></a><span class="kd">local</span> <span class="kr">function</span> <span class="nf">fold</span><span class="p">(</span><span class="n">func</span><span class="p">,</span> <span class="p">...)</span> </span><span id="L-52"><a href="#L-52"><span class="linenos" data-line="52"></span></a> <span class="c1">-- Use a function on all supplied arguments, and return the result. The function must accept two numbers as parameters,</span> </span><span id="L-53"><a href="#L-53"><span class="linenos" data-line="53"></span></a> <span class="c1">-- and must return a number as an output. This number is then supplied as input to the next function call.</span> </span><span id="L-54"><a href="#L-54"><span class="linenos" data-line="54"></span></a> <span class="kd">local</span> <span class="n">vals</span> <span class="o">=</span> <span class="n">makeArgArray</span><span class="p">(...)</span> </span><span id="L-55"><a href="#L-55"><span class="linenos" data-line="55"></span></a> <span class="kd">local</span> <span class="n">count</span> <span class="o">=</span> <span class="o">#</span><span class="n">vals</span> <span class="c1">-- The number of valid arguments</span> </span><span id="L-56"><a href="#L-56"><span class="linenos" data-line="56"></span></a> <span class="kr">if</span> <span class="n">count</span> <span class="o">==</span> <span class="mi">0</span> <span class="kr">then</span> <span class="kr">return</span> </span><span id="L-57"><a href="#L-57"><span class="linenos" data-line="57"></span></a> <span class="c1">-- Exit if we have no valid args, otherwise removing the first arg would cause an error.</span> </span><span id="L-58"><a href="#L-58"><span class="linenos" data-line="58"></span></a> <span class="kc">nil</span><span class="p">,</span> <span class="mi">0</span> </span><span id="L-59"><a href="#L-59"><span class="linenos" data-line="59"></span></a> <span class="kr">end</span> </span><span id="L-60"><a href="#L-60"><span class="linenos" data-line="60"></span></a> <span class="kd">local</span> <span class="n">ret</span> <span class="o">=</span> <span class="nb">table.remove</span><span class="p">(</span><span class="n">vals</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span> </span><span id="L-61"><a href="#L-61"><span class="linenos" data-line="61"></span></a> <span class="kr">for</span> <span class="n">_</span><span class="p">,</span> <span class="n">val</span> <span class="kr">in</span> <span class="nb">ipairs</span><span class="p">(</span><span class="n">vals</span><span class="p">)</span> <span class="kr">do</span> </span><span id="L-62"><a href="#L-62"><span class="linenos" data-line="62"></span></a> <span class="n">ret</span> <span class="o">=</span> <span class="n">func</span><span class="p">(</span><span class="n">ret</span><span class="p">,</span> <span class="n">val</span><span class="p">)</span> </span><span id="L-63"><a href="#L-63"><span class="linenos" data-line="63"></span></a> <span class="kr">end</span> </span><span id="L-64"><a href="#L-64"><span class="linenos" data-line="64"></span></a> <span class="kr">return</span> <span class="n">ret</span><span class="p">,</span> <span class="n">count</span> </span><span id="L-65"><a href="#L-65"><span class="linenos" data-line="65"></span></a><span class="kr">end</span> </span><span id="L-66"><a href="#L-66"><span class="linenos" data-line="66"></span></a> </span><span id="L-67"><a href="#L-67"><span class="linenos" data-line="67"></span></a><span class="cm">--[[</span> </span><span id="L-68"><a href="#L-68"><span class="linenos" data-line="68"></span></a><span class="cm">Fold arguments by selectively choosing values (func should return when to choose the current "dominant" value).</span> </span><span id="L-69"><a href="#L-69"><span class="linenos" data-line="69"></span></a><span class="cm">]]</span> </span><span id="L-70"><a href="#L-70"><span class="linenos" data-line="70"></span></a><span class="kd">local</span> <span class="kr">function</span> <span class="nf">binary_fold</span><span class="p">(</span><span class="n">func</span><span class="p">,</span> <span class="p">...)</span> </span><span id="L-71"><a href="#L-71"><span class="linenos" data-line="71"></span></a> <span class="kd">local</span> <span class="n">value</span> <span class="o">=</span> <span class="n">fold</span><span class="p">((</span><span class="kr">function</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">)</span> <span class="kr">if</span> <span class="n">func</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">)</span> <span class="kr">then</span> <span class="kr">return</span> <span class="n">a</span> <span class="kr">else</span> <span class="kr">return</span> <span class="n">b</span> <span class="kr">end</span> <span class="kr">end</span><span class="p">),</span> <span class="p">...)</span> </span><span id="L-72"><a href="#L-72"><span class="linenos" data-line="72"></span></a> <span class="kr">return</span> <span class="n">value</span> </span><span id="L-73"><a href="#L-73"><span class="linenos" data-line="73"></span></a><span class="kr">end</span> </span><span id="L-74"><a href="#L-74"><span class="linenos" data-line="74"></span></a> </span><span id="L-75"><a href="#L-75"><span class="linenos" data-line="75"></span></a><span class="cm">--[[</span> </span><span id="L-76"><a href="#L-76"><span class="linenos" data-line="76"></span></a><span class="cm">random</span> </span><span id="L-77"><a href="#L-77"><span class="linenos" data-line="77"></span></a> </span><span id="L-78"><a href="#L-78"><span class="linenos" data-line="78"></span></a><span class="cm">Generate a random number</span> </span><span id="L-79"><a href="#L-79"><span class="linenos" data-line="79"></span></a> </span><span id="L-80"><a href="#L-80"><span class="linenos" data-line="80"></span></a><span class="cm">Usage:</span> </span><span id="L-81"><a href="#L-81"><span class="linenos" data-line="81"></span></a><span class="cm">{{#invoke: Math | random }}</span> </span><span id="L-82"><a href="#L-82"><span class="linenos" data-line="82"></span></a><span class="cm">{{#invoke: Math | random | maximum value }}</span> </span><span id="L-83"><a href="#L-83"><span class="linenos" data-line="83"></span></a><span class="cm">{{#invoke: Math | random | minimum value | maximum value }}</span> </span><span id="L-84"><a href="#L-84"><span class="linenos" data-line="84"></span></a><span class="cm">]]</span> </span><span id="L-85"><a href="#L-85"><span class="linenos" data-line="85"></span></a> </span><span id="L-86"><a href="#L-86"><span class="linenos" data-line="86"></span></a><span class="kr">function</span> <span class="nc">wrap</span><span class="p">.</span><span class="nf">random</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-87"><a href="#L-87"><span class="linenos" data-line="87"></span></a> <span class="kd">local</span> <span class="n">first</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_cleanNumber</span><span class="p">(</span><span class="n">args</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span> </span><span id="L-88"><a href="#L-88"><span class="linenos" data-line="88"></span></a> <span class="kd">local</span> <span class="n">second</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_cleanNumber</span><span class="p">(</span><span class="n">args</span><span class="p">[</span><span class="mi">2</span><span class="p">])</span> </span><span id="L-89"><a href="#L-89"><span class="linenos" data-line="89"></span></a> <span class="kr">return</span> <span class="n">p</span><span class="p">.</span><span class="n">_random</span><span class="p">(</span><span class="n">first</span><span class="p">,</span> <span class="n">second</span><span class="p">)</span> </span><span id="L-90"><a href="#L-90"><span class="linenos" data-line="90"></span></a><span class="kr">end</span> </span><span id="L-91"><a href="#L-91"><span class="linenos" data-line="91"></span></a> </span><span id="L-92"><a href="#L-92"><span class="linenos" data-line="92"></span></a><span class="kr">function</span> <span class="nc">p</span><span class="p">.</span><span class="nf">_random</span><span class="p">(</span><span class="n">first</span><span class="p">,</span> <span class="n">second</span><span class="p">)</span> </span><span id="L-93"><a href="#L-93"><span class="linenos" data-line="93"></span></a> <span class="nb">math.randomseed</span><span class="p">(</span><span class="n">mw</span><span class="p">.</span><span class="n">site</span><span class="p">.</span><span class="n">stats</span><span class="p">.</span><span class="n">edits</span> <span class="o">+</span> <span class="n">mw</span><span class="p">.</span><span class="n">site</span><span class="p">.</span><span class="n">stats</span><span class="p">.</span><span class="n">pages</span> <span class="o">+</span> <span class="nb">os.time</span><span class="p">()</span> <span class="o">+</span> <span class="nb">math.floor</span><span class="p">(</span><span class="nb">os.clock</span><span class="p">()</span> <span class="o">*</span> <span class="mi">1000000000</span><span class="p">))</span> </span><span id="L-94"><a href="#L-94"><span class="linenos" data-line="94"></span></a> <span class="c1">-- math.random will throw an error if given an explicit nil parameter, so we need to use if statements to check the params.</span> </span><span id="L-95"><a href="#L-95"><span class="linenos" data-line="95"></span></a> <span class="kr">if</span> <span class="n">first</span> <span class="ow">and</span> <span class="n">second</span> <span class="kr">then</span> </span><span id="L-96"><a href="#L-96"><span class="linenos" data-line="96"></span></a> <span class="kr">if</span> <span class="n">first</span> <span class="o"><=</span> <span class="n">second</span> <span class="kr">then</span> <span class="c1">-- math.random doesn't allow the first number to be greater than the second.</span> </span><span id="L-97"><a href="#L-97"><span class="linenos" data-line="97"></span></a> <span class="kr">return</span> <span class="nb">math.random</span><span class="p">(</span><span class="n">first</span><span class="p">,</span> <span class="n">second</span><span class="p">)</span> </span><span id="L-98"><a href="#L-98"><span class="linenos" data-line="98"></span></a> <span class="kr">end</span> </span><span id="L-99"><a href="#L-99"><span class="linenos" data-line="99"></span></a> <span class="kr">elseif</span> <span class="n">first</span> <span class="kr">then</span> </span><span id="L-100"><a href="#L-100"><span class="linenos" data-line="100"></span></a> <span class="kr">return</span> <span class="nb">math.random</span><span class="p">(</span><span class="n">first</span><span class="p">)</span> </span><span id="L-101"><a href="#L-101"><span class="linenos" data-line="101"></span></a> <span class="kr">else</span> </span><span id="L-102"><a href="#L-102"><span class="linenos" data-line="102"></span></a> <span class="kr">return</span> <span class="nb">math.random</span><span class="p">()</span> </span><span id="L-103"><a href="#L-103"><span class="linenos" data-line="103"></span></a> <span class="kr">end</span> </span><span id="L-104"><a href="#L-104"><span class="linenos" data-line="104"></span></a><span class="kr">end</span> </span><span id="L-105"><a href="#L-105"><span class="linenos" data-line="105"></span></a> </span><span id="L-106"><a href="#L-106"><span class="linenos" data-line="106"></span></a><span class="cm">--[[</span> </span><span id="L-107"><a href="#L-107"><span class="linenos" data-line="107"></span></a><span class="cm">order</span> </span><span id="L-108"><a href="#L-108"><span class="linenos" data-line="108"></span></a> </span><span id="L-109"><a href="#L-109"><span class="linenos" data-line="109"></span></a><span class="cm">Determine order of magnitude of a number</span> </span><span id="L-110"><a href="#L-110"><span class="linenos" data-line="110"></span></a> </span><span id="L-111"><a href="#L-111"><span class="linenos" data-line="111"></span></a><span class="cm">Usage:</span> </span><span id="L-112"><a href="#L-112"><span class="linenos" data-line="112"></span></a><span class="cm">{{#invoke: Math | order | value }}</span> </span><span id="L-113"><a href="#L-113"><span class="linenos" data-line="113"></span></a><span class="cm">]]</span> </span><span id="L-114"><a href="#L-114"><span class="linenos" data-line="114"></span></a> </span><span id="L-115"><a href="#L-115"><span class="linenos" data-line="115"></span></a><span class="kr">function</span> <span class="nc">wrap</span><span class="p">.</span><span class="nf">order</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-116"><a href="#L-116"><span class="linenos" data-line="116"></span></a> <span class="kd">local</span> <span class="n">input_string</span> <span class="o">=</span> <span class="p">(</span><span class="n">args</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="ow">or</span> <span class="n">args</span><span class="p">.</span><span class="n">x</span> <span class="ow">or</span> <span class="s1">'0'</span><span class="p">);</span> </span><span id="L-117"><a href="#L-117"><span class="linenos" data-line="117"></span></a> <span class="kd">local</span> <span class="n">input_number</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_cleanNumber</span><span class="p">(</span><span class="n">input_string</span><span class="p">);</span> </span><span id="L-118"><a href="#L-118"><span class="linenos" data-line="118"></span></a> <span class="kr">if</span> <span class="n">input_number</span> <span class="o">==</span> <span class="kc">nil</span> <span class="kr">then</span> </span><span id="L-119"><a href="#L-119"><span class="linenos" data-line="119"></span></a> <span class="kr">return</span> <span class="n">err</span><span class="p">(</span><span class="s1">'order of magnitude input appears non-numeric'</span><span class="p">)</span> </span><span id="L-120"><a href="#L-120"><span class="linenos" data-line="120"></span></a> <span class="kr">else</span> </span><span id="L-121"><a href="#L-121"><span class="linenos" data-line="121"></span></a> <span class="kr">return</span> <span class="n">p</span><span class="p">.</span><span class="n">_order</span><span class="p">(</span><span class="n">input_number</span><span class="p">)</span> </span><span id="L-122"><a href="#L-122"><span class="linenos" data-line="122"></span></a> <span class="kr">end</span> </span><span id="L-123"><a href="#L-123"><span class="linenos" data-line="123"></span></a><span class="kr">end</span> </span><span id="L-124"><a href="#L-124"><span class="linenos" data-line="124"></span></a> </span><span id="L-125"><a href="#L-125"><span class="linenos" data-line="125"></span></a><span class="kr">function</span> <span class="nc">p</span><span class="p">.</span><span class="nf">_order</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> </span><span id="L-126"><a href="#L-126"><span class="linenos" data-line="126"></span></a> <span class="kr">if</span> <span class="n">x</span> <span class="o">==</span> <span class="mi">0</span> <span class="kr">then</span> <span class="kr">return</span> <span class="mi">0</span> <span class="kr">end</span> </span><span id="L-127"><a href="#L-127"><span class="linenos" data-line="127"></span></a> <span class="kr">return</span> <span class="nb">math.floor</span><span class="p">(</span><span class="n">math</span><span class="p">.</span><span class="n">log10</span><span class="p">(</span><span class="nb">math.abs</span><span class="p">(</span><span class="n">x</span><span class="p">)))</span> </span><span id="L-128"><a href="#L-128"><span class="linenos" data-line="128"></span></a><span class="kr">end</span> </span><span id="L-129"><a href="#L-129"><span class="linenos" data-line="129"></span></a> </span><span id="L-130"><a href="#L-130"><span class="linenos" data-line="130"></span></a><span class="cm">--[[</span> </span><span id="L-131"><a href="#L-131"><span class="linenos" data-line="131"></span></a><span class="cm">precision</span> </span><span id="L-132"><a href="#L-132"><span class="linenos" data-line="132"></span></a> </span><span id="L-133"><a href="#L-133"><span class="linenos" data-line="133"></span></a><span class="cm">Detemines the precision of a number using the string representation</span> </span><span id="L-134"><a href="#L-134"><span class="linenos" data-line="134"></span></a> </span><span id="L-135"><a href="#L-135"><span class="linenos" data-line="135"></span></a><span class="cm">Usage:</span> </span><span id="L-136"><a href="#L-136"><span class="linenos" data-line="136"></span></a><span class="cm">{{ #invoke: Math | precision | value }}</span> </span><span id="L-137"><a href="#L-137"><span class="linenos" data-line="137"></span></a><span class="cm">]]</span> </span><span id="L-138"><a href="#L-138"><span class="linenos" data-line="138"></span></a> </span><span id="L-139"><a href="#L-139"><span class="linenos" data-line="139"></span></a><span class="kr">function</span> <span class="nc">wrap</span><span class="p">.</span><span class="nf">precision</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-140"><a href="#L-140"><span class="linenos" data-line="140"></span></a> <span class="kd">local</span> <span class="n">input_string</span> <span class="o">=</span> <span class="p">(</span><span class="n">args</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="ow">or</span> <span class="n">args</span><span class="p">.</span><span class="n">x</span> <span class="ow">or</span> <span class="s1">'0'</span><span class="p">);</span> </span><span id="L-141"><a href="#L-141"><span class="linenos" data-line="141"></span></a> <span class="kd">local</span> <span class="n">trap_fraction</span> <span class="o">=</span> <span class="n">args</span><span class="p">.</span><span class="n">check_fraction</span><span class="p">;</span> </span><span id="L-142"><a href="#L-142"><span class="linenos" data-line="142"></span></a> <span class="kd">local</span> <span class="n">input_number</span><span class="p">;</span> </span><span id="L-143"><a href="#L-143"><span class="linenos" data-line="143"></span></a> </span><span id="L-144"><a href="#L-144"><span class="linenos" data-line="144"></span></a> <span class="kr">if</span> <span class="ow">not</span> <span class="n">yesno</span> <span class="kr">then</span> </span><span id="L-145"><a href="#L-145"><span class="linenos" data-line="145"></span></a> <span class="n">yesno</span> <span class="o">=</span> <span class="nb">require</span><span class="p">(</span><span class="s1">'Module:Yesno'</span><span class="p">)</span> </span><span id="L-146"><a href="#L-146"><span class="linenos" data-line="146"></span></a> <span class="kr">end</span> </span><span id="L-147"><a href="#L-147"><span class="linenos" data-line="147"></span></a> <span class="kr">if</span> <span class="n">yesno</span><span class="p">(</span><span class="n">trap_fraction</span><span class="p">,</span> <span class="kc">true</span><span class="p">)</span> <span class="kr">then</span> <span class="c1">-- Returns true for all input except nil, false, "no", "n", "0" and a few others. See [[Module:Yesno]].</span> </span><span id="L-148"><a href="#L-148"><span class="linenos" data-line="148"></span></a> <span class="kd">local</span> <span class="n">pos</span> <span class="o">=</span> <span class="nb">string.find</span><span class="p">(</span><span class="n">input_string</span><span class="p">,</span> <span class="s1">'/'</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="kc">true</span><span class="p">);</span> </span><span id="L-149"><a href="#L-149"><span class="linenos" data-line="149"></span></a> <span class="kr">if</span> <span class="n">pos</span> <span class="o">~=</span> <span class="kc">nil</span> <span class="kr">then</span> </span><span id="L-150"><a href="#L-150"><span class="linenos" data-line="150"></span></a> <span class="kr">if</span> <span class="nb">string.find</span><span class="p">(</span><span class="n">input_string</span><span class="p">,</span> <span class="s1">'/'</span><span class="p">,</span> <span class="n">pos</span> <span class="o">+</span> <span class="mi">1</span><span class="p">,</span> <span class="kc">true</span><span class="p">)</span> <span class="o">==</span> <span class="kc">nil</span> <span class="kr">then</span> </span><span id="L-151"><a href="#L-151"><span class="linenos" data-line="151"></span></a> <span class="kd">local</span> <span class="n">denominator</span> <span class="o">=</span> <span class="nb">string.sub</span><span class="p">(</span><span class="n">input_string</span><span class="p">,</span> <span class="n">pos</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">);</span> </span><span id="L-152"><a href="#L-152"><span class="linenos" data-line="152"></span></a> <span class="kd">local</span> <span class="n">denom_value</span> <span class="o">=</span> <span class="nb">tonumber</span><span class="p">(</span><span class="n">denominator</span><span class="p">);</span> </span><span id="L-153"><a href="#L-153"><span class="linenos" data-line="153"></span></a> <span class="kr">if</span> <span class="n">denom_value</span> <span class="o">~=</span> <span class="kc">nil</span> <span class="kr">then</span> </span><span id="L-154"><a href="#L-154"><span class="linenos" data-line="154"></span></a> <span class="kr">return</span> <span class="n">math</span><span class="p">.</span><span class="n">log10</span><span class="p">(</span><span class="n">denom_value</span><span class="p">);</span> </span><span id="L-155"><a href="#L-155"><span class="linenos" data-line="155"></span></a> <span class="kr">end</span> </span><span id="L-156"><a href="#L-156"><span class="linenos" data-line="156"></span></a> <span class="kr">end</span> </span><span id="L-157"><a href="#L-157"><span class="linenos" data-line="157"></span></a> <span class="kr">end</span> </span><span id="L-158"><a href="#L-158"><span class="linenos" data-line="158"></span></a> <span class="kr">end</span> </span><span id="L-159"><a href="#L-159"><span class="linenos" data-line="159"></span></a> </span><span id="L-160"><a href="#L-160"><span class="linenos" data-line="160"></span></a> <span class="n">input_number</span><span class="p">,</span> <span class="n">input_string</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_cleanNumber</span><span class="p">(</span><span class="n">input_string</span><span class="p">);</span> </span><span id="L-161"><a href="#L-161"><span class="linenos" data-line="161"></span></a> <span class="kr">if</span> <span class="n">input_string</span> <span class="o">==</span> <span class="kc">nil</span> <span class="kr">then</span> </span><span id="L-162"><a href="#L-162"><span class="linenos" data-line="162"></span></a> <span class="kr">return</span> <span class="n">err</span><span class="p">(</span><span class="s1">'precision input appears non-numeric'</span><span class="p">)</span> </span><span id="L-163"><a href="#L-163"><span class="linenos" data-line="163"></span></a> <span class="kr">else</span> </span><span id="L-164"><a href="#L-164"><span class="linenos" data-line="164"></span></a> <span class="kr">return</span> <span class="n">p</span><span class="p">.</span><span class="n">_precision</span><span class="p">(</span><span class="n">input_string</span><span class="p">)</span> </span><span id="L-165"><a href="#L-165"><span class="linenos" data-line="165"></span></a> <span class="kr">end</span> </span><span id="L-166"><a href="#L-166"><span class="linenos" data-line="166"></span></a><span class="kr">end</span> </span><span id="L-167"><a href="#L-167"><span class="linenos" data-line="167"></span></a> </span><span id="L-168"><a href="#L-168"><span class="linenos" data-line="168"></span></a><span class="kr">function</span> <span class="nc">p</span><span class="p">.</span><span class="nf">_precision</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> </span><span id="L-169"><a href="#L-169"><span class="linenos" data-line="169"></span></a> <span class="kr">if</span> <span class="nb">type</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> <span class="o">==</span> <span class="s1">'number'</span> <span class="kr">then</span> </span><span id="L-170"><a href="#L-170"><span class="linenos" data-line="170"></span></a> <span class="n">x</span> <span class="o">=</span> <span class="nb">tostring</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> </span><span id="L-171"><a href="#L-171"><span class="linenos" data-line="171"></span></a> <span class="kr">end</span> </span><span id="L-172"><a href="#L-172"><span class="linenos" data-line="172"></span></a> <span class="n">x</span> <span class="o">=</span> <span class="nb">string.upper</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> </span><span id="L-173"><a href="#L-173"><span class="linenos" data-line="173"></span></a> </span><span id="L-174"><a href="#L-174"><span class="linenos" data-line="174"></span></a> <span class="kd">local</span> <span class="n">decimal</span> <span class="o">=</span> <span class="n">x</span><span class="p">:</span><span class="n">find</span><span class="p">(</span><span class="s1">'%.'</span><span class="p">)</span> </span><span id="L-175"><a href="#L-175"><span class="linenos" data-line="175"></span></a> <span class="kd">local</span> <span class="n">exponent_pos</span> <span class="o">=</span> <span class="n">x</span><span class="p">:</span><span class="n">find</span><span class="p">(</span><span class="s1">'E'</span><span class="p">)</span> </span><span id="L-176"><a href="#L-176"><span class="linenos" data-line="176"></span></a> <span class="kd">local</span> <span class="n">result</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span> </span><span id="L-177"><a href="#L-177"><span class="linenos" data-line="177"></span></a> </span><span id="L-178"><a href="#L-178"><span class="linenos" data-line="178"></span></a> <span class="kr">if</span> <span class="n">exponent_pos</span> <span class="o">~=</span> <span class="kc">nil</span> <span class="kr">then</span> </span><span id="L-179"><a href="#L-179"><span class="linenos" data-line="179"></span></a> <span class="kd">local</span> <span class="n">exponent</span> <span class="o">=</span> <span class="nb">string.sub</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">exponent_pos</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span> </span><span id="L-180"><a href="#L-180"><span class="linenos" data-line="180"></span></a> <span class="n">x</span> <span class="o">=</span> <span class="nb">string.sub</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">exponent_pos</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> </span><span id="L-181"><a href="#L-181"><span class="linenos" data-line="181"></span></a> <span class="n">result</span> <span class="o">=</span> <span class="n">result</span> <span class="o">-</span> <span class="nb">tonumber</span><span class="p">(</span><span class="n">exponent</span><span class="p">)</span> </span><span id="L-182"><a href="#L-182"><span class="linenos" data-line="182"></span></a> <span class="kr">end</span> </span><span id="L-183"><a href="#L-183"><span class="linenos" data-line="183"></span></a> </span><span id="L-184"><a href="#L-184"><span class="linenos" data-line="184"></span></a> <span class="kr">if</span> <span class="n">decimal</span> <span class="o">~=</span> <span class="kc">nil</span> <span class="kr">then</span> </span><span id="L-185"><a href="#L-185"><span class="linenos" data-line="185"></span></a> <span class="n">result</span> <span class="o">=</span> <span class="n">result</span> <span class="o">+</span> <span class="nb">string.len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> <span class="o">-</span> <span class="n">decimal</span> </span><span id="L-186"><a href="#L-186"><span class="linenos" data-line="186"></span></a> <span class="kr">return</span> <span class="n">result</span> </span><span id="L-187"><a href="#L-187"><span class="linenos" data-line="187"></span></a> <span class="kr">end</span> </span><span id="L-188"><a href="#L-188"><span class="linenos" data-line="188"></span></a> </span><span id="L-189"><a href="#L-189"><span class="linenos" data-line="189"></span></a> <span class="kd">local</span> <span class="n">pos</span> <span class="o">=</span> <span class="nb">string.len</span><span class="p">(</span><span class="n">x</span><span class="p">);</span> </span><span id="L-190"><a href="#L-190"><span class="linenos" data-line="190"></span></a> <span class="kr">while</span> <span class="n">x</span><span class="p">:</span><span class="n">byte</span><span class="p">(</span><span class="n">pos</span><span class="p">)</span> <span class="o">==</span> <span class="nb">string.byte</span><span class="p">(</span><span class="s1">'0'</span><span class="p">)</span> <span class="kr">do</span> </span><span id="L-191"><a href="#L-191"><span class="linenos" data-line="191"></span></a> <span class="n">pos</span> <span class="o">=</span> <span class="n">pos</span> <span class="o">-</span> <span class="mi">1</span> </span><span id="L-192"><a href="#L-192"><span class="linenos" data-line="192"></span></a> <span class="n">result</span> <span class="o">=</span> <span class="n">result</span> <span class="o">-</span> <span class="mi">1</span> </span><span id="L-193"><a href="#L-193"><span class="linenos" data-line="193"></span></a> <span class="kr">if</span> <span class="n">pos</span> <span class="o"><=</span> <span class="mi">0</span> <span class="kr">then</span> </span><span id="L-194"><a href="#L-194"><span class="linenos" data-line="194"></span></a> <span class="kr">return</span> <span class="mi">0</span> </span><span id="L-195"><a href="#L-195"><span class="linenos" data-line="195"></span></a> <span class="kr">end</span> </span><span id="L-196"><a href="#L-196"><span class="linenos" data-line="196"></span></a> <span class="kr">end</span> </span><span id="L-197"><a href="#L-197"><span class="linenos" data-line="197"></span></a> </span><span id="L-198"><a href="#L-198"><span class="linenos" data-line="198"></span></a> <span class="kr">return</span> <span class="n">result</span> </span><span id="L-199"><a href="#L-199"><span class="linenos" data-line="199"></span></a><span class="kr">end</span> </span><span id="L-200"><a href="#L-200"><span class="linenos" data-line="200"></span></a> </span><span id="L-201"><a href="#L-201"><span class="linenos" data-line="201"></span></a> </span><span id="L-202"><a href="#L-202"><span class="linenos" data-line="202"></span></a><span class="cm">--[[</span> </span><span id="L-203"><a href="#L-203"><span class="linenos" data-line="203"></span></a><span class="cm">max</span> </span><span id="L-204"><a href="#L-204"><span class="linenos" data-line="204"></span></a> </span><span id="L-205"><a href="#L-205"><span class="linenos" data-line="205"></span></a><span class="cm">Finds the maximum argument</span> </span><span id="L-206"><a href="#L-206"><span class="linenos" data-line="206"></span></a> </span><span id="L-207"><a href="#L-207"><span class="linenos" data-line="207"></span></a><span class="cm">Usage:</span> </span><span id="L-208"><a href="#L-208"><span class="linenos" data-line="208"></span></a><span class="cm">{{#invoke:Math| max | value1 | value2 | ... }}</span> </span><span id="L-209"><a href="#L-209"><span class="linenos" data-line="209"></span></a> </span><span id="L-210"><a href="#L-210"><span class="linenos" data-line="210"></span></a><span class="cm">Note, any values that do not evaluate to numbers are ignored.</span> </span><span id="L-211"><a href="#L-211"><span class="linenos" data-line="211"></span></a><span class="cm">]]</span> </span><span id="L-212"><a href="#L-212"><span class="linenos" data-line="212"></span></a> </span><span id="L-213"><a href="#L-213"><span class="linenos" data-line="213"></span></a><span class="kr">function</span> <span class="nc">wrap</span><span class="p">.</span><span class="nf">max</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-214"><a href="#L-214"><span class="linenos" data-line="214"></span></a> <span class="kr">return</span> <span class="n">p</span><span class="p">.</span><span class="n">_max</span><span class="p">(</span><span class="n">unpackNumberArgs</span><span class="p">(</span><span class="n">args</span><span class="p">))</span> </span><span id="L-215"><a href="#L-215"><span class="linenos" data-line="215"></span></a><span class="kr">end</span> </span><span id="L-216"><a href="#L-216"><span class="linenos" data-line="216"></span></a> </span><span id="L-217"><a href="#L-217"><span class="linenos" data-line="217"></span></a><span class="kr">function</span> <span class="nc">p</span><span class="p">.</span><span class="nf">_max</span><span class="p">(...)</span> </span><span id="L-218"><a href="#L-218"><span class="linenos" data-line="218"></span></a> <span class="kd">local</span> <span class="n">max_value</span> <span class="o">=</span> <span class="n">binary_fold</span><span class="p">((</span><span class="kr">function</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">)</span> <span class="kr">return</span> <span class="n">a</span> <span class="o">></span> <span class="n">b</span> <span class="kr">end</span><span class="p">),</span> <span class="p">...)</span> </span><span id="L-219"><a href="#L-219"><span class="linenos" data-line="219"></span></a> <span class="kr">if</span> <span class="n">max_value</span> <span class="kr">then</span> </span><span id="L-220"><a href="#L-220"><span class="linenos" data-line="220"></span></a> <span class="kr">return</span> <span class="n">max_value</span> </span><span id="L-221"><a href="#L-221"><span class="linenos" data-line="221"></span></a> <span class="kr">end</span> </span><span id="L-222"><a href="#L-222"><span class="linenos" data-line="222"></span></a><span class="kr">end</span> </span><span id="L-223"><a href="#L-223"><span class="linenos" data-line="223"></span></a> </span><span id="L-224"><a href="#L-224"><span class="linenos" data-line="224"></span></a><span class="cm">--[[</span> </span><span id="L-225"><a href="#L-225"><span class="linenos" data-line="225"></span></a><span class="cm">median</span> </span><span id="L-226"><a href="#L-226"><span class="linenos" data-line="226"></span></a> </span><span id="L-227"><a href="#L-227"><span class="linenos" data-line="227"></span></a><span class="cm">Find the median of set of numbers</span> </span><span id="L-228"><a href="#L-228"><span class="linenos" data-line="228"></span></a> </span><span id="L-229"><a href="#L-229"><span class="linenos" data-line="229"></span></a><span class="cm">Usage:</span> </span><span id="L-230"><a href="#L-230"><span class="linenos" data-line="230"></span></a><span class="cm">{{#invoke:Math | median | number1 | number2 | ...}}</span> </span><span id="L-231"><a href="#L-231"><span class="linenos" data-line="231"></span></a><span class="cm">OR</span> </span><span id="L-232"><a href="#L-232"><span class="linenos" data-line="232"></span></a><span class="cm">{{#invoke:Math | median }}</span> </span><span id="L-233"><a href="#L-233"><span class="linenos" data-line="233"></span></a><span class="cm">]]</span> </span><span id="L-234"><a href="#L-234"><span class="linenos" data-line="234"></span></a> </span><span id="L-235"><a href="#L-235"><span class="linenos" data-line="235"></span></a><span class="kr">function</span> <span class="nc">wrap</span><span class="p">.</span><span class="nf">median</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-236"><a href="#L-236"><span class="linenos" data-line="236"></span></a> <span class="kr">return</span> <span class="n">p</span><span class="p">.</span><span class="n">_median</span><span class="p">(</span><span class="n">unpackNumberArgs</span><span class="p">(</span><span class="n">args</span><span class="p">))</span> </span><span id="L-237"><a href="#L-237"><span class="linenos" data-line="237"></span></a><span class="kr">end</span> </span><span id="L-238"><a href="#L-238"><span class="linenos" data-line="238"></span></a> </span><span id="L-239"><a href="#L-239"><span class="linenos" data-line="239"></span></a><span class="kr">function</span> <span class="nc">p</span><span class="p">.</span><span class="nf">_median</span><span class="p">(...)</span> </span><span id="L-240"><a href="#L-240"><span class="linenos" data-line="240"></span></a> <span class="kd">local</span> <span class="n">vals</span> <span class="o">=</span> <span class="n">makeArgArray</span><span class="p">(...)</span> </span><span id="L-241"><a href="#L-241"><span class="linenos" data-line="241"></span></a> <span class="kd">local</span> <span class="n">count</span> <span class="o">=</span> <span class="o">#</span><span class="n">vals</span> </span><span id="L-242"><a href="#L-242"><span class="linenos" data-line="242"></span></a> <span class="nb">table.sort</span><span class="p">(</span><span class="n">vals</span><span class="p">)</span> </span><span id="L-243"><a href="#L-243"><span class="linenos" data-line="243"></span></a> </span><span id="L-244"><a href="#L-244"><span class="linenos" data-line="244"></span></a> <span class="kr">if</span> <span class="n">count</span> <span class="o">==</span> <span class="mi">0</span> <span class="kr">then</span> </span><span id="L-245"><a href="#L-245"><span class="linenos" data-line="245"></span></a> <span class="kr">return</span> <span class="mi">0</span> </span><span id="L-246"><a href="#L-246"><span class="linenos" data-line="246"></span></a> <span class="kr">end</span> </span><span id="L-247"><a href="#L-247"><span class="linenos" data-line="247"></span></a> </span><span id="L-248"><a href="#L-248"><span class="linenos" data-line="248"></span></a> <span class="kr">if</span> <span class="n">p</span><span class="p">.</span><span class="n">_mod</span><span class="p">(</span><span class="n">count</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span> <span class="o">==</span> <span class="mi">0</span> <span class="kr">then</span> </span><span id="L-249"><a href="#L-249"><span class="linenos" data-line="249"></span></a> <span class="kr">return</span> <span class="p">(</span><span class="n">vals</span><span class="p">[</span><span class="n">count</span><span class="o">/</span><span class="mi">2</span><span class="p">]</span> <span class="o">+</span> <span class="n">vals</span><span class="p">[</span><span class="n">count</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="mi">1</span><span class="p">])</span><span class="o">/</span><span class="mi">2</span> </span><span id="L-250"><a href="#L-250"><span class="linenos" data-line="250"></span></a> <span class="kr">else</span> </span><span id="L-251"><a href="#L-251"><span class="linenos" data-line="251"></span></a> <span class="kr">return</span> <span class="n">vals</span><span class="p">[</span><span class="nb">math.ceil</span><span class="p">(</span><span class="n">count</span><span class="o">/</span><span class="mi">2</span><span class="p">)]</span> </span><span id="L-252"><a href="#L-252"><span class="linenos" data-line="252"></span></a> <span class="kr">end</span> </span><span id="L-253"><a href="#L-253"><span class="linenos" data-line="253"></span></a><span class="kr">end</span> </span><span id="L-254"><a href="#L-254"><span class="linenos" data-line="254"></span></a> </span><span id="L-255"><a href="#L-255"><span class="linenos" data-line="255"></span></a><span class="cm">--[[</span> </span><span id="L-256"><a href="#L-256"><span class="linenos" data-line="256"></span></a><span class="cm">min</span> </span><span id="L-257"><a href="#L-257"><span class="linenos" data-line="257"></span></a> </span><span id="L-258"><a href="#L-258"><span class="linenos" data-line="258"></span></a><span class="cm">Finds the minimum argument</span> </span><span id="L-259"><a href="#L-259"><span class="linenos" data-line="259"></span></a> </span><span id="L-260"><a href="#L-260"><span class="linenos" data-line="260"></span></a><span class="cm">Usage:</span> </span><span id="L-261"><a href="#L-261"><span class="linenos" data-line="261"></span></a><span class="cm">{{#invoke:Math| min | value1 | value2 | ... }}</span> </span><span id="L-262"><a href="#L-262"><span class="linenos" data-line="262"></span></a><span class="cm">OR</span> </span><span id="L-263"><a href="#L-263"><span class="linenos" data-line="263"></span></a><span class="cm">{{#invoke:Math| min }}</span> </span><span id="L-264"><a href="#L-264"><span class="linenos" data-line="264"></span></a> </span><span id="L-265"><a href="#L-265"><span class="linenos" data-line="265"></span></a><span class="cm">When used with no arguments, it takes its input from the parent</span> </span><span id="L-266"><a href="#L-266"><span class="linenos" data-line="266"></span></a><span class="cm">frame. Note, any values that do not evaluate to numbers are ignored.</span> </span><span id="L-267"><a href="#L-267"><span class="linenos" data-line="267"></span></a><span class="cm">]]</span> </span><span id="L-268"><a href="#L-268"><span class="linenos" data-line="268"></span></a> </span><span id="L-269"><a href="#L-269"><span class="linenos" data-line="269"></span></a><span class="kr">function</span> <span class="nc">wrap</span><span class="p">.</span><span class="nf">min</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-270"><a href="#L-270"><span class="linenos" data-line="270"></span></a> <span class="kr">return</span> <span class="n">p</span><span class="p">.</span><span class="n">_min</span><span class="p">(</span><span class="n">unpackNumberArgs</span><span class="p">(</span><span class="n">args</span><span class="p">))</span> </span><span id="L-271"><a href="#L-271"><span class="linenos" data-line="271"></span></a><span class="kr">end</span> </span><span id="L-272"><a href="#L-272"><span class="linenos" data-line="272"></span></a> </span><span id="L-273"><a href="#L-273"><span class="linenos" data-line="273"></span></a><span class="kr">function</span> <span class="nc">p</span><span class="p">.</span><span class="nf">_min</span><span class="p">(...)</span> </span><span id="L-274"><a href="#L-274"><span class="linenos" data-line="274"></span></a> <span class="kd">local</span> <span class="n">min_value</span> <span class="o">=</span> <span class="n">binary_fold</span><span class="p">((</span><span class="kr">function</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">)</span> <span class="kr">return</span> <span class="n">a</span> <span class="o"><</span> <span class="n">b</span> <span class="kr">end</span><span class="p">),</span> <span class="p">...)</span> </span><span id="L-275"><a href="#L-275"><span class="linenos" data-line="275"></span></a> <span class="kr">if</span> <span class="n">min_value</span> <span class="kr">then</span> </span><span id="L-276"><a href="#L-276"><span class="linenos" data-line="276"></span></a> <span class="kr">return</span> <span class="n">min_value</span> </span><span id="L-277"><a href="#L-277"><span class="linenos" data-line="277"></span></a> <span class="kr">end</span> </span><span id="L-278"><a href="#L-278"><span class="linenos" data-line="278"></span></a><span class="kr">end</span> </span><span id="L-279"><a href="#L-279"><span class="linenos" data-line="279"></span></a> </span><span id="L-280"><a href="#L-280"><span class="linenos" data-line="280"></span></a><span class="cm">--[[</span> </span><span id="L-281"><a href="#L-281"><span class="linenos" data-line="281"></span></a><span class="cm">sum</span> </span><span id="L-282"><a href="#L-282"><span class="linenos" data-line="282"></span></a> </span><span id="L-283"><a href="#L-283"><span class="linenos" data-line="283"></span></a><span class="cm">Finds the sum</span> </span><span id="L-284"><a href="#L-284"><span class="linenos" data-line="284"></span></a> </span><span id="L-285"><a href="#L-285"><span class="linenos" data-line="285"></span></a><span class="cm">Usage:</span> </span><span id="L-286"><a href="#L-286"><span class="linenos" data-line="286"></span></a><span class="cm">{{#invoke:Math| sum | value1 | value2 | ... }}</span> </span><span id="L-287"><a href="#L-287"><span class="linenos" data-line="287"></span></a><span class="cm">OR</span> </span><span id="L-288"><a href="#L-288"><span class="linenos" data-line="288"></span></a><span class="cm">{{#invoke:Math| sum }}</span> </span><span id="L-289"><a href="#L-289"><span class="linenos" data-line="289"></span></a> </span><span id="L-290"><a href="#L-290"><span class="linenos" data-line="290"></span></a><span class="cm">Note, any values that do not evaluate to numbers are ignored.</span> </span><span id="L-291"><a href="#L-291"><span class="linenos" data-line="291"></span></a><span class="cm">]]</span> </span><span id="L-292"><a href="#L-292"><span class="linenos" data-line="292"></span></a> </span><span id="L-293"><a href="#L-293"><span class="linenos" data-line="293"></span></a><span class="kr">function</span> <span class="nc">wrap</span><span class="p">.</span><span class="nf">sum</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-294"><a href="#L-294"><span class="linenos" data-line="294"></span></a> <span class="kr">return</span> <span class="n">p</span><span class="p">.</span><span class="n">_sum</span><span class="p">(</span><span class="n">unpackNumberArgs</span><span class="p">(</span><span class="n">args</span><span class="p">))</span> </span><span id="L-295"><a href="#L-295"><span class="linenos" data-line="295"></span></a><span class="kr">end</span> </span><span id="L-296"><a href="#L-296"><span class="linenos" data-line="296"></span></a> </span><span id="L-297"><a href="#L-297"><span class="linenos" data-line="297"></span></a><span class="kr">function</span> <span class="nc">p</span><span class="p">.</span><span class="nf">_sum</span><span class="p">(...)</span> </span><span id="L-298"><a href="#L-298"><span class="linenos" data-line="298"></span></a> <span class="kd">local</span> <span class="n">sums</span><span class="p">,</span> <span class="n">count</span> <span class="o">=</span> <span class="n">fold</span><span class="p">((</span><span class="kr">function</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">)</span> <span class="kr">return</span> <span class="n">a</span> <span class="o">+</span> <span class="n">b</span> <span class="kr">end</span><span class="p">),</span> <span class="p">...)</span> </span><span id="L-299"><a href="#L-299"><span class="linenos" data-line="299"></span></a> <span class="kr">if</span> <span class="ow">not</span> <span class="n">sums</span> <span class="kr">then</span> </span><span id="L-300"><a href="#L-300"><span class="linenos" data-line="300"></span></a> <span class="kr">return</span> <span class="mi">0</span> </span><span id="L-301"><a href="#L-301"><span class="linenos" data-line="301"></span></a> <span class="kr">else</span> </span><span id="L-302"><a href="#L-302"><span class="linenos" data-line="302"></span></a> <span class="kr">return</span> <span class="n">sums</span> </span><span id="L-303"><a href="#L-303"><span class="linenos" data-line="303"></span></a> <span class="kr">end</span> </span><span id="L-304"><a href="#L-304"><span class="linenos" data-line="304"></span></a><span class="kr">end</span> </span><span id="L-305"><a href="#L-305"><span class="linenos" data-line="305"></span></a> </span><span id="L-306"><a href="#L-306"><span class="linenos" data-line="306"></span></a><span class="cm">--[[</span> </span><span id="L-307"><a href="#L-307"><span class="linenos" data-line="307"></span></a><span class="cm">average</span> </span><span id="L-308"><a href="#L-308"><span class="linenos" data-line="308"></span></a> </span><span id="L-309"><a href="#L-309"><span class="linenos" data-line="309"></span></a><span class="cm">Finds the average</span> </span><span id="L-310"><a href="#L-310"><span class="linenos" data-line="310"></span></a> </span><span id="L-311"><a href="#L-311"><span class="linenos" data-line="311"></span></a><span class="cm">Usage:</span> </span><span id="L-312"><a href="#L-312"><span class="linenos" data-line="312"></span></a><span class="cm">{{#invoke:Math| average | value1 | value2 | ... }}</span> </span><span id="L-313"><a href="#L-313"><span class="linenos" data-line="313"></span></a><span class="cm">OR</span> </span><span id="L-314"><a href="#L-314"><span class="linenos" data-line="314"></span></a><span class="cm">{{#invoke:Math| average }}</span> </span><span id="L-315"><a href="#L-315"><span class="linenos" data-line="315"></span></a> </span><span id="L-316"><a href="#L-316"><span class="linenos" data-line="316"></span></a><span class="cm">Note, any values that do not evaluate to numbers are ignored.</span> </span><span id="L-317"><a href="#L-317"><span class="linenos" data-line="317"></span></a><span class="cm">]]</span> </span><span id="L-318"><a href="#L-318"><span class="linenos" data-line="318"></span></a> </span><span id="L-319"><a href="#L-319"><span class="linenos" data-line="319"></span></a><span class="kr">function</span> <span class="nc">wrap</span><span class="p">.</span><span class="nf">average</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-320"><a href="#L-320"><span class="linenos" data-line="320"></span></a> <span class="kr">return</span> <span class="n">p</span><span class="p">.</span><span class="n">_average</span><span class="p">(</span><span class="n">unpackNumberArgs</span><span class="p">(</span><span class="n">args</span><span class="p">))</span> </span><span id="L-321"><a href="#L-321"><span class="linenos" data-line="321"></span></a><span class="kr">end</span> </span><span id="L-322"><a href="#L-322"><span class="linenos" data-line="322"></span></a> </span><span id="L-323"><a href="#L-323"><span class="linenos" data-line="323"></span></a><span class="kr">function</span> <span class="nc">p</span><span class="p">.</span><span class="nf">_average</span><span class="p">(...)</span> </span><span id="L-324"><a href="#L-324"><span class="linenos" data-line="324"></span></a> <span class="kd">local</span> <span class="n">sum</span><span class="p">,</span> <span class="n">count</span> <span class="o">=</span> <span class="n">fold</span><span class="p">((</span><span class="kr">function</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">)</span> <span class="kr">return</span> <span class="n">a</span> <span class="o">+</span> <span class="n">b</span> <span class="kr">end</span><span class="p">),</span> <span class="p">...)</span> </span><span id="L-325"><a href="#L-325"><span class="linenos" data-line="325"></span></a> <span class="kr">if</span> <span class="ow">not</span> <span class="n">sum</span> <span class="kr">then</span> </span><span id="L-326"><a href="#L-326"><span class="linenos" data-line="326"></span></a> <span class="kr">return</span> <span class="mi">0</span> </span><span id="L-327"><a href="#L-327"><span class="linenos" data-line="327"></span></a> <span class="kr">else</span> </span><span id="L-328"><a href="#L-328"><span class="linenos" data-line="328"></span></a> <span class="kr">return</span> <span class="n">sum</span> <span class="o">/</span> <span class="n">count</span> </span><span id="L-329"><a href="#L-329"><span class="linenos" data-line="329"></span></a> <span class="kr">end</span> </span><span id="L-330"><a href="#L-330"><span class="linenos" data-line="330"></span></a><span class="kr">end</span> </span><span id="L-331"><a href="#L-331"><span class="linenos" data-line="331"></span></a> </span><span id="L-332"><a href="#L-332"><span class="linenos" data-line="332"></span></a><span class="cm">--[[</span> </span><span id="L-333"><a href="#L-333"><span class="linenos" data-line="333"></span></a><span class="cm">round</span> </span><span id="L-334"><a href="#L-334"><span class="linenos" data-line="334"></span></a> </span><span id="L-335"><a href="#L-335"><span class="linenos" data-line="335"></span></a><span class="cm">Rounds a number to specified precision</span> </span><span id="L-336"><a href="#L-336"><span class="linenos" data-line="336"></span></a> </span><span id="L-337"><a href="#L-337"><span class="linenos" data-line="337"></span></a><span class="cm">Usage:</span> </span><span id="L-338"><a href="#L-338"><span class="linenos" data-line="338"></span></a><span class="cm">{{#invoke:Math | round | value | precision }}</span> </span><span id="L-339"><a href="#L-339"><span class="linenos" data-line="339"></span></a> </span><span id="L-340"><a href="#L-340"><span class="linenos" data-line="340"></span></a><span class="cm">--]]</span> </span><span id="L-341"><a href="#L-341"><span class="linenos" data-line="341"></span></a> </span><span id="L-342"><a href="#L-342"><span class="linenos" data-line="342"></span></a><span class="kr">function</span> <span class="nc">wrap</span><span class="p">.</span><span class="nf">round</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-343"><a href="#L-343"><span class="linenos" data-line="343"></span></a> <span class="kd">local</span> <span class="n">value</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_cleanNumber</span><span class="p">(</span><span class="n">args</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="ow">or</span> <span class="n">args</span><span class="p">.</span><span class="n">value</span> <span class="ow">or</span> <span class="mi">0</span><span class="p">)</span> </span><span id="L-344"><a href="#L-344"><span class="linenos" data-line="344"></span></a> <span class="kd">local</span> <span class="n">precision</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_cleanNumber</span><span class="p">(</span><span class="n">args</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="ow">or</span> <span class="n">args</span><span class="p">.</span><span class="n">precision</span> <span class="ow">or</span> <span class="mi">0</span><span class="p">)</span> </span><span id="L-345"><a href="#L-345"><span class="linenos" data-line="345"></span></a> <span class="kr">if</span> <span class="n">value</span> <span class="o">==</span> <span class="kc">nil</span> <span class="ow">or</span> <span class="n">precision</span> <span class="o">==</span> <span class="kc">nil</span> <span class="kr">then</span> </span><span id="L-346"><a href="#L-346"><span class="linenos" data-line="346"></span></a> <span class="kr">return</span> <span class="n">err</span><span class="p">(</span><span class="s1">'round input appears non-numeric'</span><span class="p">)</span> </span><span id="L-347"><a href="#L-347"><span class="linenos" data-line="347"></span></a> <span class="kr">else</span> </span><span id="L-348"><a href="#L-348"><span class="linenos" data-line="348"></span></a> <span class="kr">return</span> <span class="n">p</span><span class="p">.</span><span class="n">_round</span><span class="p">(</span><span class="n">value</span><span class="p">,</span> <span class="n">precision</span><span class="p">)</span> </span><span id="L-349"><a href="#L-349"><span class="linenos" data-line="349"></span></a> <span class="kr">end</span> </span><span id="L-350"><a href="#L-350"><span class="linenos" data-line="350"></span></a><span class="kr">end</span> </span><span id="L-351"><a href="#L-351"><span class="linenos" data-line="351"></span></a> </span><span id="L-352"><a href="#L-352"><span class="linenos" data-line="352"></span></a><span class="kr">function</span> <span class="nc">p</span><span class="p">.</span><span class="nf">_round</span><span class="p">(</span><span class="n">value</span><span class="p">,</span> <span class="n">precision</span><span class="p">)</span> </span><span id="L-353"><a href="#L-353"><span class="linenos" data-line="353"></span></a> <span class="kd">local</span> <span class="n">rescale</span> <span class="o">=</span> <span class="nb">math.pow</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="n">precision</span> <span class="ow">or</span> <span class="mi">0</span><span class="p">);</span> </span><span id="L-354"><a href="#L-354"><span class="linenos" data-line="354"></span></a> <span class="kr">return</span> <span class="nb">math.floor</span><span class="p">(</span><span class="n">value</span> <span class="o">*</span> <span class="n">rescale</span> <span class="o">+</span> <span class="mf">0.5</span><span class="p">)</span> <span class="o">/</span> <span class="n">rescale</span><span class="p">;</span> </span><span id="L-355"><a href="#L-355"><span class="linenos" data-line="355"></span></a><span class="kr">end</span> </span><span id="L-356"><a href="#L-356"><span class="linenos" data-line="356"></span></a> </span><span id="L-357"><a href="#L-357"><span class="linenos" data-line="357"></span></a><span class="cm">--[[</span> </span><span id="L-358"><a href="#L-358"><span class="linenos" data-line="358"></span></a><span class="cm">log10</span> </span><span id="L-359"><a href="#L-359"><span class="linenos" data-line="359"></span></a> </span><span id="L-360"><a href="#L-360"><span class="linenos" data-line="360"></span></a><span class="cm">returns the log (base 10) of a number</span> </span><span id="L-361"><a href="#L-361"><span class="linenos" data-line="361"></span></a> </span><span id="L-362"><a href="#L-362"><span class="linenos" data-line="362"></span></a><span class="cm">Usage:</span> </span><span id="L-363"><a href="#L-363"><span class="linenos" data-line="363"></span></a><span class="cm">{{#invoke:Math | log10 | x }}</span> </span><span id="L-364"><a href="#L-364"><span class="linenos" data-line="364"></span></a><span class="cm">]]</span> </span><span id="L-365"><a href="#L-365"><span class="linenos" data-line="365"></span></a> </span><span id="L-366"><a href="#L-366"><span class="linenos" data-line="366"></span></a><span class="kr">function</span> <span class="nc">wrap</span><span class="p">.</span><span class="nf">log10</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-367"><a href="#L-367"><span class="linenos" data-line="367"></span></a> <span class="kr">return</span> <span class="n">math</span><span class="p">.</span><span class="n">log10</span><span class="p">(</span><span class="n">args</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span> </span><span id="L-368"><a href="#L-368"><span class="linenos" data-line="368"></span></a><span class="kr">end</span> </span><span id="L-369"><a href="#L-369"><span class="linenos" data-line="369"></span></a> </span><span id="L-370"><a href="#L-370"><span class="linenos" data-line="370"></span></a><span class="cm">--[[</span> </span><span id="L-371"><a href="#L-371"><span class="linenos" data-line="371"></span></a><span class="cm">mod</span> </span><span id="L-372"><a href="#L-372"><span class="linenos" data-line="372"></span></a> </span><span id="L-373"><a href="#L-373"><span class="linenos" data-line="373"></span></a><span class="cm">Implements the modulo operator</span> </span><span id="L-374"><a href="#L-374"><span class="linenos" data-line="374"></span></a> </span><span id="L-375"><a href="#L-375"><span class="linenos" data-line="375"></span></a><span class="cm">Usage:</span> </span><span id="L-376"><a href="#L-376"><span class="linenos" data-line="376"></span></a><span class="cm">{{#invoke:Math | mod | x | y }}</span> </span><span id="L-377"><a href="#L-377"><span class="linenos" data-line="377"></span></a> </span><span id="L-378"><a href="#L-378"><span class="linenos" data-line="378"></span></a><span class="cm">--]]</span> </span><span id="L-379"><a href="#L-379"><span class="linenos" data-line="379"></span></a> </span><span id="L-380"><a href="#L-380"><span class="linenos" data-line="380"></span></a><span class="kr">function</span> <span class="nc">wrap</span><span class="p">.</span><span class="nf">mod</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-381"><a href="#L-381"><span class="linenos" data-line="381"></span></a> <span class="kd">local</span> <span class="n">x</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_cleanNumber</span><span class="p">(</span><span class="n">args</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span> </span><span id="L-382"><a href="#L-382"><span class="linenos" data-line="382"></span></a> <span class="kd">local</span> <span class="n">y</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_cleanNumber</span><span class="p">(</span><span class="n">args</span><span class="p">[</span><span class="mi">2</span><span class="p">])</span> </span><span id="L-383"><a href="#L-383"><span class="linenos" data-line="383"></span></a> <span class="kr">if</span> <span class="ow">not</span> <span class="n">x</span> <span class="kr">then</span> </span><span id="L-384"><a href="#L-384"><span class="linenos" data-line="384"></span></a> <span class="kr">return</span> <span class="n">err</span><span class="p">(</span><span class="s1">'first argument to mod appears non-numeric'</span><span class="p">)</span> </span><span id="L-385"><a href="#L-385"><span class="linenos" data-line="385"></span></a> <span class="kr">elseif</span> <span class="ow">not</span> <span class="n">y</span> <span class="kr">then</span> </span><span id="L-386"><a href="#L-386"><span class="linenos" data-line="386"></span></a> <span class="kr">return</span> <span class="n">err</span><span class="p">(</span><span class="s1">'second argument to mod appears non-numeric'</span><span class="p">)</span> </span><span id="L-387"><a href="#L-387"><span class="linenos" data-line="387"></span></a> <span class="kr">else</span> </span><span id="L-388"><a href="#L-388"><span class="linenos" data-line="388"></span></a> <span class="kr">return</span> <span class="n">p</span><span class="p">.</span><span class="n">_mod</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span> </span><span id="L-389"><a href="#L-389"><span class="linenos" data-line="389"></span></a> <span class="kr">end</span> </span><span id="L-390"><a href="#L-390"><span class="linenos" data-line="390"></span></a><span class="kr">end</span> </span><span id="L-391"><a href="#L-391"><span class="linenos" data-line="391"></span></a> </span><span id="L-392"><a href="#L-392"><span class="linenos" data-line="392"></span></a><span class="kr">function</span> <span class="nc">p</span><span class="p">.</span><span class="nf">_mod</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span> </span><span id="L-393"><a href="#L-393"><span class="linenos" data-line="393"></span></a> <span class="kd">local</span> <span class="n">ret</span> <span class="o">=</span> <span class="n">x</span> <span class="o">%</span> <span class="n">y</span> </span><span id="L-394"><a href="#L-394"><span class="linenos" data-line="394"></span></a> <span class="kr">if</span> <span class="ow">not</span> <span class="p">(</span><span class="mi">0</span> <span class="o"><=</span> <span class="n">ret</span> <span class="ow">and</span> <span class="n">ret</span> <span class="o"><</span> <span class="n">y</span><span class="p">)</span> <span class="kr">then</span> </span><span id="L-395"><a href="#L-395"><span class="linenos" data-line="395"></span></a> <span class="n">ret</span> <span class="o">=</span> <span class="mi">0</span> </span><span id="L-396"><a href="#L-396"><span class="linenos" data-line="396"></span></a> <span class="kr">end</span> </span><span id="L-397"><a href="#L-397"><span class="linenos" data-line="397"></span></a> <span class="kr">return</span> <span class="n">ret</span> </span><span id="L-398"><a href="#L-398"><span class="linenos" data-line="398"></span></a><span class="kr">end</span> </span><span id="L-399"><a href="#L-399"><span class="linenos" data-line="399"></span></a> </span><span id="L-400"><a href="#L-400"><span class="linenos" data-line="400"></span></a><span class="cm">--[[</span> </span><span id="L-401"><a href="#L-401"><span class="linenos" data-line="401"></span></a><span class="cm">gcd</span> </span><span id="L-402"><a href="#L-402"><span class="linenos" data-line="402"></span></a> </span><span id="L-403"><a href="#L-403"><span class="linenos" data-line="403"></span></a><span class="cm">Calculates the greatest common divisor of multiple numbers</span> </span><span id="L-404"><a href="#L-404"><span class="linenos" data-line="404"></span></a> </span><span id="L-405"><a href="#L-405"><span class="linenos" data-line="405"></span></a><span class="cm">Usage:</span> </span><span id="L-406"><a href="#L-406"><span class="linenos" data-line="406"></span></a><span class="cm">{{#invoke:Math | gcd | value 1 | value 2 | value 3 | ... }}</span> </span><span id="L-407"><a href="#L-407"><span class="linenos" data-line="407"></span></a><span class="cm">--]]</span> </span><span id="L-408"><a href="#L-408"><span class="linenos" data-line="408"></span></a> </span><span id="L-409"><a href="#L-409"><span class="linenos" data-line="409"></span></a><span class="kr">function</span> <span class="nc">wrap</span><span class="p">.</span><span class="nf">gcd</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-410"><a href="#L-410"><span class="linenos" data-line="410"></span></a> <span class="kr">return</span> <span class="n">p</span><span class="p">.</span><span class="n">_gcd</span><span class="p">(</span><span class="n">unpackNumberArgs</span><span class="p">(</span><span class="n">args</span><span class="p">))</span> </span><span id="L-411"><a href="#L-411"><span class="linenos" data-line="411"></span></a><span class="kr">end</span> </span><span id="L-412"><a href="#L-412"><span class="linenos" data-line="412"></span></a> </span><span id="L-413"><a href="#L-413"><span class="linenos" data-line="413"></span></a><span class="kr">function</span> <span class="nc">p</span><span class="p">.</span><span class="nf">_gcd</span><span class="p">(...)</span> </span><span id="L-414"><a href="#L-414"><span class="linenos" data-line="414"></span></a> <span class="kd">local</span> <span class="kr">function</span> <span class="nf">findGcd</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">)</span> </span><span id="L-415"><a href="#L-415"><span class="linenos" data-line="415"></span></a> <span class="kd">local</span> <span class="n">r</span> <span class="o">=</span> <span class="n">b</span> </span><span id="L-416"><a href="#L-416"><span class="linenos" data-line="416"></span></a> <span class="kd">local</span> <span class="n">oldr</span> <span class="o">=</span> <span class="n">a</span> </span><span id="L-417"><a href="#L-417"><span class="linenos" data-line="417"></span></a> <span class="kr">while</span> <span class="n">r</span> <span class="o">~=</span> <span class="mi">0</span> <span class="kr">do</span> </span><span id="L-418"><a href="#L-418"><span class="linenos" data-line="418"></span></a> <span class="kd">local</span> <span class="n">quotient</span> <span class="o">=</span> <span class="nb">math.floor</span><span class="p">(</span><span class="n">oldr</span> <span class="o">/</span> <span class="n">r</span><span class="p">)</span> </span><span id="L-419"><a href="#L-419"><span class="linenos" data-line="419"></span></a> <span class="n">oldr</span><span class="p">,</span> <span class="n">r</span> <span class="o">=</span> <span class="n">r</span><span class="p">,</span> <span class="n">oldr</span> <span class="o">-</span> <span class="n">quotient</span> <span class="o">*</span> <span class="n">r</span> </span><span id="L-420"><a href="#L-420"><span class="linenos" data-line="420"></span></a> <span class="kr">end</span> </span><span id="L-421"><a href="#L-421"><span class="linenos" data-line="421"></span></a> <span class="kr">if</span> <span class="n">oldr</span> <span class="o"><</span> <span class="mi">0</span> <span class="kr">then</span> </span><span id="L-422"><a href="#L-422"><span class="linenos" data-line="422"></span></a> <span class="n">oldr</span> <span class="o">=</span> <span class="n">oldr</span> <span class="o">*</span> <span class="o">-</span><span class="mi">1</span> </span><span id="L-423"><a href="#L-423"><span class="linenos" data-line="423"></span></a> <span class="kr">end</span> </span><span id="L-424"><a href="#L-424"><span class="linenos" data-line="424"></span></a> <span class="kr">return</span> <span class="n">oldr</span> </span><span id="L-425"><a href="#L-425"><span class="linenos" data-line="425"></span></a> <span class="kr">end</span> </span><span id="L-426"><a href="#L-426"><span class="linenos" data-line="426"></span></a> <span class="kd">local</span> <span class="n">result</span><span class="p">,</span> <span class="n">count</span> <span class="o">=</span> <span class="n">fold</span><span class="p">(</span><span class="n">findGcd</span><span class="p">,</span> <span class="p">...)</span> </span><span id="L-427"><a href="#L-427"><span class="linenos" data-line="427"></span></a> <span class="kr">return</span> <span class="n">result</span> </span><span id="L-428"><a href="#L-428"><span class="linenos" data-line="428"></span></a><span class="kr">end</span> </span><span id="L-429"><a href="#L-429"><span class="linenos" data-line="429"></span></a> </span><span id="L-430"><a href="#L-430"><span class="linenos" data-line="430"></span></a><span class="cm">--[[</span> </span><span id="L-431"><a href="#L-431"><span class="linenos" data-line="431"></span></a><span class="cm">precision_format</span> </span><span id="L-432"><a href="#L-432"><span class="linenos" data-line="432"></span></a> </span><span id="L-433"><a href="#L-433"><span class="linenos" data-line="433"></span></a><span class="cm">Rounds a number to the specified precision and formats according to rules</span> </span><span id="L-434"><a href="#L-434"><span class="linenos" data-line="434"></span></a><span class="cm">originally used for {{template:Rnd}}. Output is a string.</span> </span><span id="L-435"><a href="#L-435"><span class="linenos" data-line="435"></span></a> </span><span id="L-436"><a href="#L-436"><span class="linenos" data-line="436"></span></a><span class="cm">Usage:</span> </span><span id="L-437"><a href="#L-437"><span class="linenos" data-line="437"></span></a><span class="cm">{{#invoke: Math | precision_format | number | precision }}</span> </span><span id="L-438"><a href="#L-438"><span class="linenos" data-line="438"></span></a><span class="cm">]]</span> </span><span id="L-439"><a href="#L-439"><span class="linenos" data-line="439"></span></a> </span><span id="L-440"><a href="#L-440"><span class="linenos" data-line="440"></span></a><span class="kr">function</span> <span class="nc">wrap</span><span class="p">.</span><span class="nf">precision_format</span><span class="p">(</span><span class="n">args</span><span class="p">)</span> </span><span id="L-441"><a href="#L-441"><span class="linenos" data-line="441"></span></a> <span class="kd">local</span> <span class="n">value_string</span> <span class="o">=</span> <span class="n">args</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="ow">or</span> <span class="mi">0</span> </span><span id="L-442"><a href="#L-442"><span class="linenos" data-line="442"></span></a> <span class="kd">local</span> <span class="n">precision</span> <span class="o">=</span> <span class="n">args</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="ow">or</span> <span class="mi">0</span> </span><span id="L-443"><a href="#L-443"><span class="linenos" data-line="443"></span></a> <span class="kr">return</span> <span class="n">p</span><span class="p">.</span><span class="n">_precision_format</span><span class="p">(</span><span class="n">value_string</span><span class="p">,</span> <span class="n">precision</span><span class="p">)</span> </span><span id="L-444"><a href="#L-444"><span class="linenos" data-line="444"></span></a><span class="kr">end</span> </span><span id="L-445"><a href="#L-445"><span class="linenos" data-line="445"></span></a> </span><span id="L-446"><a href="#L-446"><span class="linenos" data-line="446"></span></a><span class="kr">function</span> <span class="nc">p</span><span class="p">.</span><span class="nf">_precision_format</span><span class="p">(</span><span class="n">value_string</span><span class="p">,</span> <span class="n">precision</span><span class="p">)</span> </span><span id="L-447"><a href="#L-447"><span class="linenos" data-line="447"></span></a> <span class="c1">-- For access to Mediawiki built-in formatter.</span> </span><span id="L-448"><a href="#L-448"><span class="linenos" data-line="448"></span></a> <span class="kd">local</span> <span class="n">lang</span> <span class="o">=</span> <span class="n">mw</span><span class="p">.</span><span class="n">getContentLanguage</span><span class="p">();</span> </span><span id="L-449"><a href="#L-449"><span class="linenos" data-line="449"></span></a> </span><span id="L-450"><a href="#L-450"><span class="linenos" data-line="450"></span></a> <span class="kd">local</span> <span class="n">value</span> </span><span id="L-451"><a href="#L-451"><span class="linenos" data-line="451"></span></a> <span class="n">value</span><span class="p">,</span> <span class="n">value_string</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_cleanNumber</span><span class="p">(</span><span class="n">value_string</span><span class="p">)</span> </span><span id="L-452"><a href="#L-452"><span class="linenos" data-line="452"></span></a> <span class="n">precision</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_cleanNumber</span><span class="p">(</span><span class="n">precision</span><span class="p">)</span> </span><span id="L-453"><a href="#L-453"><span class="linenos" data-line="453"></span></a> </span><span id="L-454"><a href="#L-454"><span class="linenos" data-line="454"></span></a> <span class="c1">-- Check for non-numeric input</span> </span><span id="L-455"><a href="#L-455"><span class="linenos" data-line="455"></span></a> <span class="kr">if</span> <span class="n">value</span> <span class="o">==</span> <span class="kc">nil</span> <span class="ow">or</span> <span class="n">precision</span> <span class="o">==</span> <span class="kc">nil</span> <span class="kr">then</span> </span><span id="L-456"><a href="#L-456"><span class="linenos" data-line="456"></span></a> <span class="kr">return</span> <span class="n">err</span><span class="p">(</span><span class="s1">'invalid input when rounding'</span><span class="p">)</span> </span><span id="L-457"><a href="#L-457"><span class="linenos" data-line="457"></span></a> <span class="kr">end</span> </span><span id="L-458"><a href="#L-458"><span class="linenos" data-line="458"></span></a> </span><span id="L-459"><a href="#L-459"><span class="linenos" data-line="459"></span></a> <span class="kd">local</span> <span class="n">current_precision</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_precision</span><span class="p">(</span><span class="n">value</span><span class="p">)</span> </span><span id="L-460"><a href="#L-460"><span class="linenos" data-line="460"></span></a> <span class="kd">local</span> <span class="n">order</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_order</span><span class="p">(</span><span class="n">value</span><span class="p">)</span> </span><span id="L-461"><a href="#L-461"><span class="linenos" data-line="461"></span></a> </span><span id="L-462"><a href="#L-462"><span class="linenos" data-line="462"></span></a> <span class="c1">-- Due to round-off effects it is neccesary to limit the returned precision under</span> </span><span id="L-463"><a href="#L-463"><span class="linenos" data-line="463"></span></a> <span class="c1">-- some circumstances because the terminal digits will be inaccurately reported.</span> </span><span id="L-464"><a href="#L-464"><span class="linenos" data-line="464"></span></a> <span class="kr">if</span> <span class="n">order</span> <span class="o">+</span> <span class="n">precision</span> <span class="o">>=</span> <span class="mi">14</span> <span class="kr">then</span> </span><span id="L-465"><a href="#L-465"><span class="linenos" data-line="465"></span></a> <span class="kr">if</span> <span class="n">order</span> <span class="o">+</span> <span class="n">p</span><span class="p">.</span><span class="n">_precision</span><span class="p">(</span><span class="n">value_string</span><span class="p">)</span> <span class="o">>=</span> <span class="mi">14</span> <span class="kr">then</span> </span><span id="L-466"><a href="#L-466"><span class="linenos" data-line="466"></span></a> <span class="n">precision</span> <span class="o">=</span> <span class="mi">13</span> <span class="o">-</span> <span class="n">order</span><span class="p">;</span> </span><span id="L-467"><a href="#L-467"><span class="linenos" data-line="467"></span></a> <span class="kr">end</span> </span><span id="L-468"><a href="#L-468"><span class="linenos" data-line="468"></span></a> <span class="kr">end</span> </span><span id="L-469"><a href="#L-469"><span class="linenos" data-line="469"></span></a> </span><span id="L-470"><a href="#L-470"><span class="linenos" data-line="470"></span></a> <span class="c1">-- If rounding off, truncate extra digits</span> </span><span id="L-471"><a href="#L-471"><span class="linenos" data-line="471"></span></a> <span class="kr">if</span> <span class="n">precision</span> <span class="o"><</span> <span class="n">current_precision</span> <span class="kr">then</span> </span><span id="L-472"><a href="#L-472"><span class="linenos" data-line="472"></span></a> <span class="n">value</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_round</span><span class="p">(</span><span class="n">value</span><span class="p">,</span> <span class="n">precision</span><span class="p">)</span> </span><span id="L-473"><a href="#L-473"><span class="linenos" data-line="473"></span></a> <span class="n">current_precision</span> <span class="o">=</span> <span class="n">p</span><span class="p">.</span><span class="n">_precision</span><span class="p">(</span><span class="n">value</span><span class="p">)</span> </span><span id="L-474"><a href="#L-474"><span class="linenos" data-line="474"></span></a> <span class="kr">end</span> </span><span id="L-475"><a href="#L-475"><span class="linenos" data-line="475"></span></a> </span><span id="L-476"><a href="#L-476"><span class="linenos" data-line="476"></span></a> <span class="kd">local</span> <span class="n">formatted_num</span> <span class="o">=</span> <span class="n">lang</span><span class="p">:</span><span class="n">formatNum</span><span class="p">(</span><span class="nb">math.abs</span><span class="p">(</span><span class="n">value</span><span class="p">))</span> </span><span id="L-477"><a href="#L-477"><span class="linenos" data-line="477"></span></a> <span class="kd">local</span> <span class="n">sign</span> </span><span id="L-478"><a href="#L-478"><span class="linenos" data-line="478"></span></a> </span><span id="L-479"><a href="#L-479"><span class="linenos" data-line="479"></span></a> <span class="c1">-- Use proper unary minus sign rather than ASCII default</span> </span><span id="L-480"><a href="#L-480"><span class="linenos" data-line="480"></span></a> <span class="kr">if</span> <span class="n">value</span> <span class="o"><</span> <span class="mi">0</span> <span class="kr">then</span> </span><span id="L-481"><a href="#L-481"><span class="linenos" data-line="481"></span></a> <span class="n">sign</span> <span class="o">=</span> <span class="s1">'−'</span> </span><span id="L-482"><a href="#L-482"><span class="linenos" data-line="482"></span></a> <span class="kr">else</span> </span><span id="L-483"><a href="#L-483"><span class="linenos" data-line="483"></span></a> <span class="n">sign</span> <span class="o">=</span> <span class="s1">''</span> </span><span id="L-484"><a href="#L-484"><span class="linenos" data-line="484"></span></a> <span class="kr">end</span> </span><span id="L-485"><a href="#L-485"><span class="linenos" data-line="485"></span></a> </span><span id="L-486"><a href="#L-486"><span class="linenos" data-line="486"></span></a> <span class="c1">-- Handle cases requiring scientific notation</span> </span><span id="L-487"><a href="#L-487"><span class="linenos" data-line="487"></span></a> <span class="kr">if</span> <span class="nb">string.find</span><span class="p">(</span><span class="n">formatted_num</span><span class="p">,</span> <span class="s1">'E'</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="kc">true</span><span class="p">)</span> <span class="o">~=</span> <span class="kc">nil</span> <span class="ow">or</span> <span class="nb">math.abs</span><span class="p">(</span><span class="n">order</span><span class="p">)</span> <span class="o">>=</span> <span class="mi">9</span> <span class="kr">then</span> </span><span id="L-488"><a href="#L-488"><span class="linenos" data-line="488"></span></a> <span class="n">value</span> <span class="o">=</span> <span class="n">value</span> <span class="o">*</span> <span class="nb">math.pow</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="o">-</span><span class="n">order</span><span class="p">)</span> </span><span id="L-489"><a href="#L-489"><span class="linenos" data-line="489"></span></a> <span class="n">current_precision</span> <span class="o">=</span> <span class="n">current_precision</span> <span class="o">+</span> <span class="n">order</span> </span><span id="L-490"><a href="#L-490"><span class="linenos" data-line="490"></span></a> <span class="n">precision</span> <span class="o">=</span> <span class="n">precision</span> <span class="o">+</span> <span class="n">order</span> </span><span id="L-491"><a href="#L-491"><span class="linenos" data-line="491"></span></a> <span class="n">formatted_num</span> <span class="o">=</span> <span class="n">lang</span><span class="p">:</span><span class="n">formatNum</span><span class="p">(</span><span class="nb">math.abs</span><span class="p">(</span><span class="n">value</span><span class="p">))</span> </span><span id="L-492"><a href="#L-492"><span class="linenos" data-line="492"></span></a> <span class="kr">else</span> </span><span id="L-493"><a href="#L-493"><span class="linenos" data-line="493"></span></a> <span class="n">order</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span> </span><span id="L-494"><a href="#L-494"><span class="linenos" data-line="494"></span></a> <span class="kr">end</span> </span><span id="L-495"><a href="#L-495"><span class="linenos" data-line="495"></span></a> <span class="n">formatted_num</span> <span class="o">=</span> <span class="n">sign</span> <span class="o">..</span> <span class="n">formatted_num</span> </span><span id="L-496"><a href="#L-496"><span class="linenos" data-line="496"></span></a> </span><span id="L-497"><a href="#L-497"><span class="linenos" data-line="497"></span></a> <span class="c1">-- Pad with zeros, if needed</span> </span><span id="L-498"><a href="#L-498"><span class="linenos" data-line="498"></span></a> <span class="kr">if</span> <span class="n">current_precision</span> <span class="o"><</span> <span class="n">precision</span> <span class="kr">then</span> </span><span id="L-499"><a href="#L-499"><span class="linenos" data-line="499"></span></a> <span class="kd">local</span> <span class="n">padding</span> </span><span id="L-500"><a href="#L-500"><span class="linenos" data-line="500"></span></a> <span class="kr">if</span> <span class="n">current_precision</span> <span class="o"><=</span> <span class="mi">0</span> <span class="kr">then</span> </span><span id="L-501"><a href="#L-501"><span class="linenos" data-line="501"></span></a> <span class="kr">if</span> <span class="n">precision</span> <span class="o">></span> <span class="mi">0</span> <span class="kr">then</span> </span><span id="L-502"><a href="#L-502"><span class="linenos" data-line="502"></span></a> <span class="kd">local</span> <span class="n">zero_sep</span> <span class="o">=</span> <span class="n">lang</span><span class="p">:</span><span class="n">formatNum</span><span class="p">(</span><span class="mf">1.1</span><span class="p">)</span> </span><span id="L-503"><a href="#L-503"><span class="linenos" data-line="503"></span></a> <span class="n">formatted_num</span> <span class="o">=</span> <span class="n">formatted_num</span> <span class="o">..</span> <span class="n">zero_sep</span><span class="p">:</span><span class="n">sub</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span><span class="mi">2</span><span class="p">)</span> </span><span id="L-504"><a href="#L-504"><span class="linenos" data-line="504"></span></a> </span><span id="L-505"><a href="#L-505"><span class="linenos" data-line="505"></span></a> <span class="n">padding</span> <span class="o">=</span> <span class="n">precision</span> </span><span id="L-506"><a href="#L-506"><span class="linenos" data-line="506"></span></a> <span class="kr">if</span> <span class="n">padding</span> <span class="o">></span> <span class="mi">20</span> <span class="kr">then</span> </span><span id="L-507"><a href="#L-507"><span class="linenos" data-line="507"></span></a> <span class="n">padding</span> <span class="o">=</span> <span class="mi">20</span> </span><span id="L-508"><a href="#L-508"><span class="linenos" data-line="508"></span></a> <span class="kr">end</span> </span><span id="L-509"><a href="#L-509"><span class="linenos" data-line="509"></span></a> </span><span id="L-510"><a href="#L-510"><span class="linenos" data-line="510"></span></a> <span class="n">formatted_num</span> <span class="o">=</span> <span class="n">formatted_num</span> <span class="o">..</span> <span class="nb">string.rep</span><span class="p">(</span><span class="s1">'0'</span><span class="p">,</span> <span class="n">padding</span><span class="p">)</span> </span><span id="L-511"><a href="#L-511"><span class="linenos" data-line="511"></span></a> <span class="kr">end</span> </span><span id="L-512"><a href="#L-512"><span class="linenos" data-line="512"></span></a> <span class="kr">else</span> </span><span id="L-513"><a href="#L-513"><span class="linenos" data-line="513"></span></a> <span class="n">padding</span> <span class="o">=</span> <span class="n">precision</span> <span class="o">-</span> <span class="n">current_precision</span> </span><span id="L-514"><a href="#L-514"><span class="linenos" data-line="514"></span></a> <span class="kr">if</span> <span class="n">padding</span> <span class="o">></span> <span class="mi">20</span> <span class="kr">then</span> </span><span id="L-515"><a href="#L-515"><span class="linenos" data-line="515"></span></a> <span class="n">padding</span> <span class="o">=</span> <span class="mi">20</span> </span><span id="L-516"><a href="#L-516"><span class="linenos" data-line="516"></span></a> <span class="kr">end</span> </span><span id="L-517"><a href="#L-517"><span class="linenos" data-line="517"></span></a> <span class="n">formatted_num</span> <span class="o">=</span> <span class="n">formatted_num</span> <span class="o">..</span> <span class="nb">string.rep</span><span class="p">(</span><span class="s1">'0'</span><span class="p">,</span> <span class="n">padding</span><span class="p">)</span> </span><span id="L-518"><a href="#L-518"><span class="linenos" data-line="518"></span></a> <span class="kr">end</span> </span><span id="L-519"><a href="#L-519"><span class="linenos" data-line="519"></span></a> <span class="kr">end</span> </span><span id="L-520"><a href="#L-520"><span class="linenos" data-line="520"></span></a> </span><span id="L-521"><a href="#L-521"><span class="linenos" data-line="521"></span></a> <span class="c1">-- Add exponential notation, if necessary.</span> </span><span id="L-522"><a href="#L-522"><span class="linenos" data-line="522"></span></a> <span class="kr">if</span> <span class="n">order</span> <span class="o">~=</span> <span class="mi">0</span> <span class="kr">then</span> </span><span id="L-523"><a href="#L-523"><span class="linenos" data-line="523"></span></a> <span class="c1">-- Use proper unary minus sign rather than ASCII default</span> </span><span id="L-524"><a href="#L-524"><span class="linenos" data-line="524"></span></a> <span class="kr">if</span> <span class="n">order</span> <span class="o"><</span> <span class="mi">0</span> <span class="kr">then</span> </span><span id="L-525"><a href="#L-525"><span class="linenos" data-line="525"></span></a> <span class="n">order</span> <span class="o">=</span> <span class="s1">'−'</span> <span class="o">..</span> <span class="n">lang</span><span class="p">:</span><span class="n">formatNum</span><span class="p">(</span><span class="nb">math.abs</span><span class="p">(</span><span class="n">order</span><span class="p">))</span> </span><span id="L-526"><a href="#L-526"><span class="linenos" data-line="526"></span></a> <span class="kr">else</span> </span><span id="L-527"><a href="#L-527"><span class="linenos" data-line="527"></span></a> <span class="n">order</span> <span class="o">=</span> <span class="n">lang</span><span class="p">:</span><span class="n">formatNum</span><span class="p">(</span><span class="n">order</span><span class="p">)</span> </span><span id="L-528"><a href="#L-528"><span class="linenos" data-line="528"></span></a> <span class="kr">end</span> </span><span id="L-529"><a href="#L-529"><span class="linenos" data-line="529"></span></a> </span><span id="L-530"><a href="#L-530"><span class="linenos" data-line="530"></span></a> <span class="n">formatted_num</span> <span class="o">=</span> <span class="n">formatted_num</span> <span class="o">..</span> <span class="s1">'<span style="margin:0 .15em 0 .25em">×</span>10<sup>'</span> <span class="o">..</span> <span class="n">order</span> <span class="o">..</span> <span class="s1">'</sup>'</span> </span><span id="L-531"><a href="#L-531"><span class="linenos" data-line="531"></span></a> <span class="kr">end</span> </span><span id="L-532"><a href="#L-532"><span class="linenos" data-line="532"></span></a> </span><span id="L-533"><a href="#L-533"><span class="linenos" data-line="533"></span></a> <span class="kr">return</span> <span class="n">formatted_num</span> </span><span id="L-534"><a href="#L-534"><span class="linenos" data-line="534"></span></a><span class="kr">end</span> </span><span id="L-535"><a href="#L-535"><span class="linenos" data-line="535"></span></a> </span><span id="L-536"><a href="#L-536"><span class="linenos" data-line="536"></span></a><span class="cm">--[[</span> </span><span id="L-537"><a href="#L-537"><span class="linenos" data-line="537"></span></a><span class="cm">Helper function that interprets the input numerically. If the</span> </span><span id="L-538"><a href="#L-538"><span class="linenos" data-line="538"></span></a><span class="cm">input does not appear to be a number, attempts evaluating it as</span> </span><span id="L-539"><a href="#L-539"><span class="linenos" data-line="539"></span></a><span class="cm">a parser functions expression.</span> </span><span id="L-540"><a href="#L-540"><span class="linenos" data-line="540"></span></a><span class="cm">]]</span> </span><span id="L-541"><a href="#L-541"><span class="linenos" data-line="541"></span></a> </span><span id="L-542"><a href="#L-542"><span class="linenos" data-line="542"></span></a><span class="kr">function</span> <span class="nc">p</span><span class="p">.</span><span class="nf">_cleanNumber</span><span class="p">(</span><span class="n">number_string</span><span class="p">)</span> </span><span id="L-543"><a href="#L-543"><span class="linenos" data-line="543"></span></a> <span class="kr">if</span> <span class="nb">type</span><span class="p">(</span><span class="n">number_string</span><span class="p">)</span> <span class="o">==</span> <span class="s1">'number'</span> <span class="kr">then</span> </span><span id="L-544"><a href="#L-544"><span class="linenos" data-line="544"></span></a> <span class="c1">-- We were passed a number, so we don't need to do any processing.</span> </span><span id="L-545"><a href="#L-545"><span class="linenos" data-line="545"></span></a> <span class="kr">return</span> <span class="n">number_string</span><span class="p">,</span> <span class="nb">tostring</span><span class="p">(</span><span class="n">number_string</span><span class="p">)</span> </span><span id="L-546"><a href="#L-546"><span class="linenos" data-line="546"></span></a> <span class="kr">elseif</span> <span class="nb">type</span><span class="p">(</span><span class="n">number_string</span><span class="p">)</span> <span class="o">~=</span> <span class="s1">'string'</span> <span class="ow">or</span> <span class="ow">not</span> <span class="n">number_string</span><span class="p">:</span><span class="n">find</span><span class="p">(</span><span class="s1">'%S'</span><span class="p">)</span> <span class="kr">then</span> </span><span id="L-547"><a href="#L-547"><span class="linenos" data-line="547"></span></a> <span class="c1">-- We were passed a non-string or a blank string, so exit.</span> </span><span id="L-548"><a href="#L-548"><span class="linenos" data-line="548"></span></a> <span class="kr">return</span> <span class="kc">nil</span><span class="p">,</span> <span class="kc">nil</span><span class="p">;</span> </span><span id="L-549"><a href="#L-549"><span class="linenos" data-line="549"></span></a> <span class="kr">end</span> </span><span id="L-550"><a href="#L-550"><span class="linenos" data-line="550"></span></a> </span><span id="L-551"><a href="#L-551"><span class="linenos" data-line="551"></span></a> <span class="c1">-- Attempt basic conversion</span> </span><span id="L-552"><a href="#L-552"><span class="linenos" data-line="552"></span></a> <span class="kd">local</span> <span class="n">number</span> <span class="o">=</span> <span class="nb">tonumber</span><span class="p">(</span><span class="n">number_string</span><span class="p">)</span> </span><span id="L-553"><a href="#L-553"><span class="linenos" data-line="553"></span></a> </span><span id="L-554"><a href="#L-554"><span class="linenos" data-line="554"></span></a> <span class="c1">-- If failed, attempt to evaluate input as an expression</span> </span><span id="L-555"><a href="#L-555"><span class="linenos" data-line="555"></span></a> <span class="kr">if</span> <span class="n">number</span> <span class="o">==</span> <span class="kc">nil</span> <span class="kr">then</span> </span><span id="L-556"><a href="#L-556"><span class="linenos" data-line="556"></span></a> <span class="kd">local</span> <span class="n">success</span><span class="p">,</span> <span class="n">result</span> <span class="o">=</span> <span class="nb">pcall</span><span class="p">(</span><span class="n">mw</span><span class="p">.</span><span class="n">ext</span><span class="p">.</span><span class="n">ParserFunctions</span><span class="p">.</span><span class="n">expr</span><span class="p">,</span> <span class="n">number_string</span><span class="p">)</span> </span><span id="L-557"><a href="#L-557"><span class="linenos" data-line="557"></span></a> <span class="kr">if</span> <span class="n">success</span> <span class="kr">then</span> </span><span id="L-558"><a href="#L-558"><span class="linenos" data-line="558"></span></a> <span class="n">number</span> <span class="o">=</span> <span class="nb">tonumber</span><span class="p">(</span><span class="n">result</span><span class="p">)</span> </span><span id="L-559"><a href="#L-559"><span class="linenos" data-line="559"></span></a> <span class="n">number_string</span> <span class="o">=</span> <span class="nb">tostring</span><span class="p">(</span><span class="n">number</span><span class="p">)</span> </span><span id="L-560"><a href="#L-560"><span class="linenos" data-line="560"></span></a> <span class="kr">else</span> </span><span id="L-561"><a href="#L-561"><span class="linenos" data-line="561"></span></a> <span class="n">number</span> <span class="o">=</span> <span class="kc">nil</span> </span><span id="L-562"><a href="#L-562"><span class="linenos" data-line="562"></span></a> <span class="n">number_string</span> <span class="o">=</span> <span class="kc">nil</span> </span><span id="L-563"><a href="#L-563"><span class="linenos" data-line="563"></span></a> <span class="kr">end</span> </span><span id="L-564"><a href="#L-564"><span class="linenos" data-line="564"></span></a> <span class="kr">else</span> </span><span id="L-565"><a href="#L-565"><span class="linenos" data-line="565"></span></a> <span class="n">number_string</span> <span class="o">=</span> <span class="n">number_string</span><span class="p">:</span><span class="n">match</span><span class="p">(</span><span class="s2">"^%s*(.-)%s*$"</span><span class="p">)</span> <span class="c1">-- String is valid but may contain padding, clean it.</span> </span><span id="L-566"><a href="#L-566"><span class="linenos" data-line="566"></span></a> <span class="n">number_string</span> <span class="o">=</span> <span class="n">number_string</span><span class="p">:</span><span class="n">match</span><span class="p">(</span><span class="s2">"^%+(.*)$"</span><span class="p">)</span> <span class="ow">or</span> <span class="n">number_string</span> <span class="c1">-- Trim any leading + signs.</span> </span><span id="L-567"><a href="#L-567"><span class="linenos" data-line="567"></span></a> <span class="kr">if</span> <span class="n">number_string</span><span class="p">:</span><span class="n">find</span><span class="p">(</span><span class="s1">'^%-?0[xX]'</span><span class="p">)</span> <span class="kr">then</span> </span><span id="L-568"><a href="#L-568"><span class="linenos" data-line="568"></span></a> <span class="c1">-- Number is using 0xnnn notation to indicate base 16; use the number that Lua detected instead.</span> </span><span id="L-569"><a href="#L-569"><span class="linenos" data-line="569"></span></a> <span class="n">number_string</span> <span class="o">=</span> <span class="nb">tostring</span><span class="p">(</span><span class="n">number</span><span class="p">)</span> </span><span id="L-570"><a href="#L-570"><span class="linenos" data-line="570"></span></a> <span class="kr">end</span> </span><span id="L-571"><a href="#L-571"><span class="linenos" data-line="571"></span></a> <span class="kr">end</span> </span><span id="L-572"><a href="#L-572"><span class="linenos" data-line="572"></span></a> </span><span id="L-573"><a href="#L-573"><span class="linenos" data-line="573"></span></a> <span class="kr">return</span> <span class="n">number</span><span class="p">,</span> <span class="n">number_string</span> </span><span id="L-574"><a href="#L-574"><span class="linenos" data-line="574"></span></a><span class="kr">end</span> </span><span id="L-575"><a href="#L-575"><span class="linenos" data-line="575"></span></a> </span><span id="L-576"><a href="#L-576"><span class="linenos" data-line="576"></span></a><span class="cm">--[[</span> </span><span id="L-577"><a href="#L-577"><span class="linenos" data-line="577"></span></a><span class="cm">Wrapper function that does basic argument processing. This ensures that all functions from #invoke can use either the current</span> </span><span id="L-578"><a href="#L-578"><span class="linenos" data-line="578"></span></a><span class="cm">frame or the parent frame, and it also trims whitespace for all arguments and removes blank arguments.</span> </span><span id="L-579"><a href="#L-579"><span class="linenos" data-line="579"></span></a><span class="cm">]]</span> </span><span id="L-580"><a href="#L-580"><span class="linenos" data-line="580"></span></a> </span><span id="L-581"><a href="#L-581"><span class="linenos" data-line="581"></span></a><span class="kd">local</span> <span class="n">mt</span> <span class="o">=</span> <span class="p">{</span> <span class="n">__index</span> <span class="o">=</span> <span class="kr">function</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">k</span><span class="p">)</span> </span><span id="L-582"><a href="#L-582"><span class="linenos" data-line="582"></span></a> <span class="kr">return</span> <span class="kr">function</span><span class="p">(</span><span class="n">frame</span><span class="p">)</span> </span><span id="L-583"><a href="#L-583"><span class="linenos" data-line="583"></span></a> <span class="kr">if</span> <span class="ow">not</span> <span class="n">getArgs</span> <span class="kr">then</span> </span><span id="L-584"><a href="#L-584"><span class="linenos" data-line="584"></span></a> <span class="n">getArgs</span> <span class="o">=</span> <span class="nb">require</span><span class="p">(</span><span class="s1">'Module:Arguments'</span><span class="p">).</span><span class="n">getArgs</span> </span><span id="L-585"><a href="#L-585"><span class="linenos" data-line="585"></span></a> <span class="kr">end</span> </span><span id="L-586"><a href="#L-586"><span class="linenos" data-line="586"></span></a> <span class="kr">return</span> <span class="n">wrap</span><span class="p">[</span><span class="n">k</span><span class="p">](</span><span class="n">getArgs</span><span class="p">(</span><span class="n">frame</span><span class="p">))</span> <span class="c1">-- Argument processing is left to Module:Arguments. Whitespace is trimmed and blank arguments are removed.</span> </span><span id="L-587"><a href="#L-587"><span class="linenos" data-line="587"></span></a> <span class="kr">end</span> </span><span id="L-588"><a href="#L-588"><span class="linenos" data-line="588"></span></a><span class="kr">end</span> <span class="p">}</span> </span><span id="L-589"><a href="#L-589"><span class="linenos" data-line="589"></span></a> </span><span id="L-590"><a href="#L-590"><span class="linenos" data-line="590"></span></a><span class="kr">return</span> <span class="nb">setmetatable</span><span class="p">(</span><span class="n">p</span><span class="p">,</span> <span class="n">mt</span><span class="p">)</span> </span></pre></div> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐6b7f745dd4‐rx5dc Cached time: 20241125143637 Cache expiry: 2592000 Reduced expiry: false Complications: [] CPU time usage: 0.002 seconds Real time usage: 0.002 seconds Preprocessor visited node count: 1/1000000 Post‐expand include size: 0/2097152 bytes Template argument size: 0/2097152 bytes Highest expansion depth: 1/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 0/5000000 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 0.000 1 -total --> </div><!--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; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Ontsluit van "<a dir="ltr" href="https://af.wikipedia.org/w/index.php?title=Module:Math&oldid=2116219">https://af.wikipedia.org/w/index.php?title=Module:Math&oldid=2116219</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"> Die bladsy is laas op 26 Januarie 2020 om 08:00 bygewerk.</li> <li id="footer-info-copyright">Die teks is beskikbaar onder die lisensie <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Erkenning-Insgelyks Deel</a>. 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