{"id":8114,"date":"2023-05-09T06:00:09","date_gmt":"2023-05-09T04:00:09","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=8114"},"modified":"2023-05-01T11:20:11","modified_gmt":"2023-05-01T09:20:11","slug":"09-may-23","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/09-may-23\/","title":{"rendered":"TAD de los polinomios: Multiplicaci\u00f3n de un polinomio por un n\u00famero"},"content":{"rendered":"<p>Usando el <a href=\"https:\/\/bit.ly\/3KwqXYu\">tipo abstracto de los polinomios<\/a>, definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   multEscalar :: (Num a, Eq a) => a -> Polinomio a -> Polinomio a\n<\/pre>\n<p>tal que <code>multEscalar c p<\/code> es el polinomio obtenido multiplicando el n\u00famero <code>c<\/code> por el polinomio <code>p<\/code>. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   \u03bb> ejPol = consPol 1 2 (consPol 0 3 polCero)\n   \u03bb> ejPol\n   2*x + 3\n   \u03bb> multEscalar 4 ejPol\n   8*x + 12\n   \u03bb> multEscalar (1 % 4) ejPol\n   1 % 2*x + 3 % 4\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, esPolCero, consPol, grado,\n                      coefLider, restoPol)\nimport Data.Ratio\n\nmultEscalar :: (Num a, Eq a) => a -> Polinomio a -> Polinomio a\nmultEscalar c p\n  | esPolCero p = polCero\n  | otherwise   = consPol n (c*b) (multEscalar c r)\n  where n = grado p\n        b = coefLider p\n        r = restoPol p\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.TAD.Polinomio import (Polinomio, coefLider, consPol, esPolCero, grado,\n                               polCero, restoPol)\n\nA = TypeVar('A', int, float, complex)\n\ndef multEscalar(c: A, p: Polinomio[A]) -> Polinomio[A]:\n    if esPolCero(p):\n        return polCero()\n    n = grado(p)\n    b = coefLider(p)\n    r = restoPol(p)\n    return consPol(n, c * b, multEscalar(c, r))\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Usando el tipo abstracto de los polinomios, definir la funci\u00f3n multEscalar :: (Num a, Eq a) => a -> Polinomio a -> Polinomio a tal que multEscalar c p es el polinomio obtenido multiplicando el n\u00famero c por el polinomio p. Por ejemplo, \u03bb> ejPol = consPol 1 2 (consPol 0 3 polCero) \u03bb> ejPol&#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\/8114"}],"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=8114"}],"version-history":[{"count":1,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/8114\/revisions"}],"predecessor-version":[{"id":8115,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/8114\/revisions\/8115"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=8114"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=8114"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=8114"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}