{"id":7771,"date":"2023-01-06T06:00:42","date_gmt":"2023-01-06T04:00:42","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=7771"},"modified":"2023-04-16T18:16:36","modified_gmt":"2023-04-16T16:16:36","slug":"06-ene-23","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/06-ene-23\/","title":{"rendered":"Aplicaci\u00f3n de una funci\u00f3n a una expresi\u00f3n aritm\u00e9tica"},"content":{"rendered":"<p>Usando el <a href=\"https:\/\/bit.ly\/43EuWL4\">tipo de las expresiones aritm\u00e9ticas b\u00e1sicas<\/a>, definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   aplica :: (Int -> Int) -> Expr -> Expr\n<\/pre>\n<p>tal que <code>aplica f e<\/code> es la expresi\u00f3n obtenida aplicando la funci\u00f3n <code>f<\/code> a cada uno de los n\u00fameros de la expresi\u00f3n <code>e<\/code>. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   \u03bb> aplica (+2) (S (P (C 3) (C 5)) (P (C 6) (C 7)))\n   S (P (C 5) (C 7)) (P (C 8) (C 9))\n   \u03bb> aplica (*2) (S (P (C 3) (C 5)) (P (C 6) (C 7)))\n   S (P (C 6) (C 10)) (P (C 12) (C 14))\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 Expresion_aritmetica_basica (Expr(..))\n\naplica :: (Int -> Int) -> Expr -> Expr\naplica f (C x)     = C (f x)\naplica f (S e1 e2) = S (aplica f e1) (aplica f e2)\naplica f (P e1 e2) = P (aplica f e1) (aplica f e2)\n<\/pre>\n<p><a name=\"python\"><\/a><br \/>\n<b>Soluciones en Python<\/b><\/p>\n<pre lang=\"python\">\nfrom typing import Callable\nfrom src.expresion_aritmetica_basica import Expr, C, S, P\n\ndef aplica(f: Callable[[int], int], e: Expr) -> Expr:\n    match e:\n        case C(x):\n            return C(f(x))\n        case S(x, y):\n            return S(aplica(f, x), aplica(f, y))\n        case P(x, y):\n            return P(aplica(f, x), aplica(f, y))\n    assert False\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Usando el tipo de las expresiones aritm\u00e9ticas b\u00e1sicas, definir la funci\u00f3n aplica :: (Int -> Int) -> Expr -> Expr tal que aplica f e es la expresi\u00f3n obtenida aplicando la funci\u00f3n f a cada uno de los n\u00fameros de la expresi\u00f3n e. Por ejemplo, \u03bb> aplica (+2) (S (P (C 3) (C 5)) (P&#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":[582],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/7771"}],"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=7771"}],"version-history":[{"count":2,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/7771\/revisions"}],"predecessor-version":[{"id":8063,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/7771\/revisions\/8063"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=7771"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=7771"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=7771"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}