{"id":8071,"date":"2023-04-25T06:00:20","date_gmt":"2023-04-25T04:00:20","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=8071"},"modified":"2023-04-18T17:34:21","modified_gmt":"2023-04-18T15:34:21","slug":"25-abr-23","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/25-abr-23\/","title":{"rendered":"TAD de los polinomios: T\u00e9rmino l\u00edder de un polinomio"},"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   termLider :: (Num a, Eq a) => Polinomio a -> Polinomio a\n<\/pre>\n<p>tal que <code>termLider p<\/code> es el t\u00e9rmino l\u00edder del polinomio <code>p<\/code>. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   \u03bb> ejPol = consPol 5 1 (consPol 2 5 (consPol 1 4 polCero))\n   \u03bb> ejPol\n   x^5 + 5*x^2 + 4*x\n   \u03bb> termLider ejPol\n   x^5\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, coefLider, grado, polCero, consPol)\nimport Pol_Crea_termino (creaTermino)\n\ntermLider :: (Num a, Eq a) => Polinomio a -> Polinomio a\ntermLider p = creaTermino (grado p) (coefLider p)\n\n-- La funci\u00f3n creaTermino est\u00e1 definida en el ejercicio\n-- \"Construcci\u00f3n de t\u00e9rminos\" que se encuentra en\n-- https:\/\/bit.ly\/3GXteuH\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 hypothesis import given\n\nfrom src.Pol_Crea_termino import creaTermino\nfrom src.TAD.Polinomio import (Polinomio, coefLider, consPol, grado, polCero,\n                               polinomioAleatorio)\n\nA = TypeVar('A', int, float, complex)\n\n# 1\u00aa soluci\u00f3n\n# ===========\n\ndef termLider(p: Polinomio[A]) -> Polinomio[A]:\n    return creaTermino(grado(p), coefLider(p))\n\n# 2\u00aa soluci\u00f3n\n# ===========\n\ndef termLider2(p: Polinomio[A]) -> Polinomio[A]:\n    return creaTermino(p.grado(), p.coefLider())\n\n# La funci\u00f3n creaTermino est\u00e1 definida en el ejercicio\n# \"Construcci\u00f3n de t\u00e9rminos\" que se encuentra en\n# https:\/\/bit.ly\/3GXteuH\n\n# Equivalencia de las definiciones\n# ================================\n\n# La propiedad es\n@given(p=polinomioAleatorio())\ndef test_termLider(p: Polinomio[int]) -> None:\n    assert termLider(p) == termLider2(p)\n\n# La comprobaci\u00f3n es\n#    > poetry run pytest -q Pol_Termino_lider.py\n#    1 passed in 0.21s\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Usando el tipo abstracto de los polinomios, definir la funci\u00f3n termLider :: (Num a, Eq a) => Polinomio a -> Polinomio a tal que termLider p es el t\u00e9rmino l\u00edder del polinomio p. Por ejemplo, \u03bb> ejPol = consPol 5 1 (consPol 2 5 (consPol 1 4 polCero)) \u03bb> ejPol x^5 + 5*x^2 + 4*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\/8071"}],"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=8071"}],"version-history":[{"count":1,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/8071\/revisions"}],"predecessor-version":[{"id":8072,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/8071\/revisions\/8072"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=8071"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=8071"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=8071"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}