{"id":6572,"date":"2022-01-31T05:00:47","date_gmt":"2022-01-31T03:00:47","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=6572"},"modified":"2022-02-23T14:42:08","modified_gmt":"2022-02-23T12:42:08","slug":"duplicacion-de-cada-elemento","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/duplicacion-de-cada-elemento\/","title":{"rendered":"Duplicaci\u00f3n de cada elemento"},"content":{"rendered":"<p>Definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   duplicaElementos :: [a] -> [a]\n<\/pre>\n<p>tal que (duplicaElementos xs) es la lista obtenida duplicando cada elemento de xs. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   duplicaElementos1 [3,2,5]    ==  [3,3,2,2,5,5]\n   duplicaElementos1 \"Haskell\"  ==  \"HHaasskkeellll\"\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\nimport Test.QuickCheck\n\n--  1\u00aa soluci\u00f3n\nduplicaElementos1 :: [a] -> [a]\nduplicaElementos1 [] = []\nduplicaElementos1 (x:xs) = x : x : duplicaElementos1 xs\n\n-- 2 soluci\u00f3n\nduplicaElementos2 :: [a] -> [a]\nduplicaElementos2 = foldr (\\x ys -> x:x:ys) []\n\n-- 3\u00aa soluci\u00f3n\nduplicaElementos3 :: [a] -> [a]\nduplicaElementos3 xs = concat [[x,x] | x <- xs]\n\n-- 4\u00aa soluci\u00f3n\nduplicaElementos4 :: [a] -> [a]\nduplicaElementos4 xs = concat (map (replicate 2) xs)\n\n-- 5\u00aa soluci\u00f3n\nduplicaElementos5 :: [a] -> [a]\nduplicaElementos5 = concatMap (replicate 2)\n\n-- 6\u00aa soluci\u00f3n\nduplicaElementos6 :: [a] -> [a]\nduplicaElementos6 = (>>= replicate 2)\n\n-- Equivalencia de las definiciones\n-- ================================\n\n-- La propiedad es\nprop_duplicaElementos :: [Int] -> Bool\nprop_duplicaElementos xs =\n  all (== (duplicaElementos1 xs))\n      [f xs | f <- [duplicaElementos2,\n                    duplicaElementos3,\n                    duplicaElementos4,\n                    duplicaElementos5,\n                    duplicaElementos6]]\n\n-- La comprobaci\u00f3n es\n--    \u03bb> quickCheck prop_duplicaElementos\n--    +++ OK, passed 100 tests.\n<\/pre>\n<p>El c\u00f3digo se encuentra en <a href=\"https:\/\/github.com\/jaalonso\/Exercitium\/blob\/main\/src\/Duplicacion_de_cada_elemento.hs\">GitHub<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Definir la funci\u00f3n duplicaElementos :: [a] -> [a] tal que (duplicaElementos xs) es la lista obtenida duplicando cada elemento de xs. Por ejemplo, duplicaElementos1 [3,2,5] == [3,3,2,2,5,5] duplicaElementos1 \u00abHaskell\u00bb == \u00abHHaasskkeellll\u00bb Soluciones import Test.QuickCheck &#8212; 1\u00aa soluci\u00f3n duplicaElementos1 :: [a] -> [a] duplicaElementos1 [] = [] duplicaElementos1 (x:xs) = x : x : duplicaElementos1 xs&#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":[2],"tags":[8,497,11,6],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/6572"}],"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=6572"}],"version-history":[{"count":4,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/6572\/revisions"}],"predecessor-version":[{"id":6683,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/6572\/revisions\/6683"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=6572"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=6572"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=6572"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}