{"id":8112,"date":"2023-05-08T06:00:17","date_gmt":"2023-05-08T04:00:17","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=8112"},"modified":"2023-04-30T10:59:23","modified_gmt":"2023-04-30T08:59:23","slug":"08-may-23","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/08-may-23\/","title":{"rendered":"TAD de los polinomios: Integral definida de un polinomio"},"content":{"rendered":"<p>Usando el <a href=\"https:\/\/bit.ly\/3KwqXYu\">tipo abstracto de datos de los polinomios<\/a> definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   integralDef :: (Fractional t, Eq t) => Polinomio t -> t -> t -> t\n<\/pre>\n<p>tal que <code>integralDef p a b<\/code> es la integral definida del polinomio <code>p<\/code> entre <code>a<\/code> y <code>b<\/code>. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   \u03bb> ejPol = consPol 7 2 (consPol 4 5 (consPol 2 5 polCero))\n   \u03bb> ejPol\n   2*x^7 + 5*x^4 + 5*x^2\n   \u03bb> integralDef ejPol 0 1\n   2.916666666666667\n   \u03bb> integralDef ejPol 0 1 :: Rational\n   35 % 12\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, consPol, polCero)\nimport Pol_Valor_de_un_polinomio_en_un_punto (valor)\nimport Pol_Integral_de_un_polinomio (integral)\n\nintegralDef :: (Fractional t, Eq t) => Polinomio t -> t -> t -> t\nintegralDef p a b = valor q b - valor q a\n  where q = integral p\n<\/pre>\n<p><a name=\"python\"><\/a><br \/>\n<b>Soluciones en Python<\/b><\/p>\n<pre lang=\"python\">\nfrom src.Pol_Integral_de_un_polinomio import integral\nfrom src.Pol_Valor_de_un_polinomio_en_un_punto import valor\nfrom src.TAD.Polinomio import Polinomio, consPol, polCero\n\n\ndef integralDef(p: Polinomio[float], a: float, b: float) -> float:\n    q = integral(p)\n    return valor(q, b) - valor(q, a)\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Usando el tipo abstracto de datos de los polinomios definir la funci\u00f3n integralDef :: (Fractional t, Eq t) => Polinomio t -> t -> t -> t tal que integralDef p a b es la integral definida del polinomio p entre a y b. Por ejemplo, \u03bb> ejPol = consPol 7 2 (consPol 4 5&#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\/8112"}],"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=8112"}],"version-history":[{"count":1,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/8112\/revisions"}],"predecessor-version":[{"id":8113,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/8112\/revisions\/8113"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=8112"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=8112"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=8112"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}