{"id":8094,"date":"2023-05-01T06:00:20","date_gmt":"2023-05-01T04:00:20","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=8094"},"modified":"2023-04-24T11:46:36","modified_gmt":"2023-04-24T09:46:36","slug":"01-may-23","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/01-may-23\/","title":{"rendered":"TAD de los polinomios: Comprobaci\u00f3n de ra\u00edces de polinomios"},"content":{"rendered":"<p>Usando el <a href=\"https:\/\/bit.ly\/3KwqXYu\">tipo abstracto de los polinomios<\/a>,<br \/>\ndefinir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   esRaiz :: (Num a, Eq a) => a -> Polinomio a -> Bool\n<\/pre>\n<p>tal que <code>esRaiz c p<\/code> se verifica si <code>c<\/code> es una raiz del polinomio <code>p<\/code>. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   \u03bb> ejPol = consPol 4 6 (consPol 1 2 polCero)\n   \u03bb> ejPol\n   6*x^4 + 2*x\n   \u03bb> esRaiz 0 ejPol\n   True\n   \u03bb> esRaiz 1 ejPol\n   False\n<\/pre>\n<p><b>Soluciones<\/b><\/p>\n<p>A continuaci\u00f3n se muestran las <a href=\"#haskell\">soluciones en Haskell<\/a> y las <a href=\"#python\">soluciones en Python<\/a>.<\/p>\n<p><a name=\"haskell\"><\/a><br \/>\n<b>Soluciones en Haskell<\/b><\/p>\n<pre lang=\"haskell\">\nimport TAD.Polinomio (Polinomio, polCero, consPol)\nimport Pol_Valor_de_un_polinomio_en_un_punto (valor)\n\nesRaiz :: (Num a, Eq a) => a -> Polinomio a -> Bool\nesRaiz c p = valor p c == 0\n<\/pre>\n<p><a name=\"python\"><\/a><br \/>\n<b>Soluciones en Python<\/b><\/p>\n<pre lang=\"python\">\nfrom typing import TypeVar\n\nfrom src.Pol_Valor_de_un_polinomio_en_un_punto import valor\nfrom src.TAD.Polinomio import Polinomio, consPol, polCero\n\nA = TypeVar('A', int, float, complex)\n\ndef esRaiz(c: A, p: Polinomio[A]) -> bool:\n    return valor(p, c) == 0\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Usando el tipo abstracto de los polinomios, definir la funci\u00f3n esRaiz :: (Num a, Eq a) => a -> Polinomio a -> Bool tal que esRaiz c p se verifica si c es una raiz del polinomio p. Por ejemplo, \u03bb> ejPol = consPol 4 6 (consPol 1 2 polCero) \u03bb> ejPol 6*x^4 + 2*x&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false},"categories":[581],"tags":[265],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/8094"}],"collection":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/comments?post=8094"}],"version-history":[{"count":2,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/8094\/revisions"}],"predecessor-version":[{"id":8096,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/8094\/revisions\/8096"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=8094"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=8094"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=8094"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}