{"id":7896,"date":"2023-02-15T06:00:47","date_gmt":"2023-02-15T04:00:47","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=7896"},"modified":"2023-01-25T14:41:59","modified_gmt":"2023-01-25T12:41:59","slug":"15-feb-23","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/15-feb-23\/","title":{"rendered":"TAD de las colas: Extensi\u00f3n de colas"},"content":{"rendered":"<p>Utilizando el <a href=\"https:\/\/bit.ly\/3QWTsRL\">tipo abstracto de datos de las colas<\/a>, definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   extiendeCola :: Cola a -> Cola a -> Cola a\n<\/pre>\n<p>tal que <code>extiendeCola c1 c2<\/code> es la cola que resulta de poner los elementos de la cola <code>c2<\/code> a continuaci\u00f3n de los de la cola de <code>c1<\/code>. Por<br \/>\nejemplo,<\/p>\n<pre lang=\"text\">\n   \u03bb> ej1 = inserta 3 (inserta 2 vacia)\n   \u03bb> ej2 = inserta 5 (inserta 3 (inserta 4 vacia))\n   \u03bb> ej1\n   2 | 3\n   \u03bb> ej2\n   4 | 3 | 5\n   \u03bb> extiendeCola ej1 ej2\n   2 | 3 | 4 | 3 | 5\n   \u03bb> extiendeCola ej2 ej1\n   4 | 3 | 5 | 2 | 3\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.Cola (Cola, vacia, inserta, primero, resto, esVacia)\nimport Transformaciones_colas_listas (colaAlista, listaAcola)\nimport Test.QuickCheck\n\n-- 1\u00aa soluci\u00f3n\n-- ===========\n\nextiendeCola :: Cola a -> Cola a -> Cola a\nextiendeCola c1 c2\n  | esVacia c2 = c1\n  | otherwise  = extiendeCola (inserta pc2 c1) rq2\n  where pc2 = primero c2\n        rq2 = resto c2\n\n-- 2\u00aa soluci\u00f3n\n-- ===========\n\nextiendeCola2 :: Cola a -> Cola a -> Cola a\nextiendeCola2 c1 c2 =\n  listaAcola (colaAlista c1 ++ colaAlista c2)\n\n-- Las funciones colaAlista y listaAcola est\u00e1n definidas en el ejercicio\n-- \"Transformaciones entre colas y listas\" que se encuentra en\n-- https:\/\/bit.ly\/3Xv0oIt\n\n-- Comprobaci\u00f3n de equivalencia\n-- ============================\n\n-- La propiedad es\nprop_extiendeCola :: Cola Int -> Cola Int -> Bool\nprop_extiendeCola p c =\n  extiendeCola p c == extiendeCola2 p c\n\n-- La comprobaci\u00f3n es\n--    \u03bb> quickCheck prop_extiendeCola\n--    +++ OK, passed 100 tests.\n<\/pre>\n<p><a name=\"python\"><\/a><br \/>\n<b>Soluciones en Python<\/b><\/p>\n<pre lang=\"python\">\nfrom copy import deepcopy\nfrom typing import TypeVar\n\nfrom hypothesis import given\n\nfrom src.TAD.cola import (Cola, colaAleatoria, esVacia, inserta, primero,\n                          resto, vacia)\nfrom src.transformaciones_colas_listas import colaAlista, listaAcola\n\nA = TypeVar('A')\n\n# 1\u00aa soluci\u00f3n\n# ===========\n\ndef extiendeCola(c1: Cola[A], c2: Cola[A]) -> Cola[A]:\n    if esVacia(c2):\n        return c1\n    pc2 = primero(c2)\n    rc2 = resto(c2)\n    return extiendeCola(inserta(pc2, c1), rc2)\n\n# 2\u00aa soluci\u00f3n\n# ===========\n\ndef extiendeCola2(c1: Cola[A], c2: Cola[A]) -> Cola[A]:\n    return listaAcola(colaAlista(c1) + colaAlista(c2))\n\n# Las funciones colaAlista y listaAcola est\u00e1n definidas en el ejercicio\n# \"Transformaciones entre colas y listas\" que se encuentra en\n# https:\/\/bit.ly\/3Xv0oIt\n\n# 3\u00aa soluci\u00f3n\n# ===========\n\ndef extiendeCola3Aux(c1: Cola[A], c2: Cola[A]) -> Cola[A]:\n    if c2.esVacia():\n        return c1\n    pc2 = c2.primero()\n    c2.resto()\n    return extiendeCola(inserta(pc2, c1), c2)\n\ndef extiendeCola3(c1: Cola[A], c2: Cola[A]) -> Cola[A]:\n    _c2 = deepcopy(c2)\n    return extiendeCola3Aux(c1, _c2)\n\n# 4\u00aa soluci\u00f3n\n# ===========\n\ndef extiendeCola4Aux(c1: Cola[A], c2: Cola[A]) -> Cola[A]:\n    r = c1\n    while not esVacia(c2):\n        r = inserta(primero(c2), r)\n        c2 = resto(c2)\n    return r\n\ndef extiendeCola4(c1: Cola[A], c2: Cola[A]) -> Cola[A]:\n    _c2 = deepcopy(c2)\n    return extiendeCola4Aux(c1, _c2)\n\n# 5\u00aa soluci\u00f3n\n# ===========\n\ndef extiendeCola5Aux(c1: Cola[A], c2: Cola[A]) -> Cola[A]:\n    r = c1\n    while not c2.esVacia():\n        r.inserta(primero(c2))\n        c2.resto()\n    return r\n\ndef extiendeCola5(c1: Cola[A], c2: Cola[A]) -> Cola[A]:\n    _c1 = deepcopy(c1)\n    _c2 = deepcopy(c2)\n    return extiendeCola5Aux(_c1, _c2)\n\n# Comprobaci\u00f3n de equivalencia\n# ============================\n\n# La propiedad es\n@given(c1=colaAleatoria(), c2=colaAleatoria())\ndef test_extiendeCola(c1: Cola[int], c2: Cola[int]) -> None:\n    r = extiendeCola(c1, c2)\n    assert extiendeCola2(c1, c2) == r\n    assert extiendeCola3(c1, c2) == r\n    assert extiendeCola4(c1, c2) == r\n\n# La comprobaci\u00f3n es\n#    src> poetry run pytest -q extiendeCola.py\n#    1 passed in 0.32s\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Utilizando el tipo abstracto de datos de las colas, definir la funci\u00f3n extiendeCola :: Cola a -> Cola a -> Cola a tal que extiendeCola c1 c2 es la cola que resulta de poner los elementos de la cola c2 a continuaci\u00f3n de los de la cola de c1. Por ejemplo, \u03bb> ej1 = inserta&#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":[515,585],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/7896"}],"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=7896"}],"version-history":[{"count":1,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/7896\/revisions"}],"predecessor-version":[{"id":7897,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/7896\/revisions\/7897"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=7896"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=7896"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=7896"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}