Un polinomio de coeficientes enteros se dir\u00e1 par si todos sus coeficientes son n\u00fameros pares. Por ejemplo, el polinomio 2x\u00b3 – 4x\u00b2 + 8 es par y el x\u00b2 + 2x + 10 no lo es.<\/p>\n
Definir el predicado<\/p>\n
\n parPol :: Integral a => Polinomio a -> Bool\n<\/pre>\ntal que (parPol p) se verifica si p es un polinomio par. Por ejemplo,<\/p>\n
\n ghci> parPol (consPol 3 2 (consPol 2 (-4) (consPol 0 8 polCero)))\n True\n ghci> parPol (consPol 2 1 (consPol 1 2 (consPol 0 10 polCero)))\n False\n<\/pre>\nComprobar con QuickCheck que la suma de un polinomio con \u00e9l mismo es un polinomio par.<\/p>\n
Nota<\/strong>: Este ejercicio debe realizarse usando la librer\u00eda I1M.Pol que se encuentra aqu\u00ed<\/a> y se describe aqu\u00ed<\/a>.<\/p>\nSoluciones<\/h4>\n\nimport I1M.PolOperaciones\nimport Test.QuickCheck\n\nparPol :: Integral a => Polinomio a -> Bool\nparPol p = esPolCero p || (even (coefLider p) && parPol (restoPol p))\n\n-- La propiedad es\nprop_parPol :: Integral a => Polinomio a -> Bool\nprop_parPol p =\n parPol (sumaPol p p)\n\n-- La comprobaci\u00f3n es \n-- ghci> quickCheck prop_parPol\n-- +++ OK, passed 100 tests.\n<\/pre>\n","protected":false},"excerpt":{"rendered":"Un polinomio de coeficientes enteros se dir\u00e1 par si todos sus coeficientes son n\u00fameros pares. Por ejemplo, el polinomio 2x\u00b3 – 4x\u00b2 + 8 es par y el x\u00b2 + 2x + 10 no lo es. Definir el predicado parPol :: Integral a => Polinomio a -> Bool tal que (parPol p) se verifica si…<\/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":[5],"tags":[273,91,265],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1273"}],"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=1273"}],"version-history":[{"count":4,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1273\/revisions"}],"predecessor-version":[{"id":1315,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1273\/revisions\/1315"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=1273"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=1273"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=1273"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}