{"id":7793,"date":"2023-01-19T06:00:17","date_gmt":"2023-01-19T04:00:17","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=7793"},"modified":"2023-01-01T12:37:05","modified_gmt":"2023-01-01T10:37:05","slug":"19-ene-23","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/19-ene-23\/","title":{"rendered":"Valor de una expresi\u00f3n vectorial"},"content":{"rendered":"

Se consideran las expresiones vectoriales formadas por un vector, la suma de dos expresiones vectoriales o el producto de un entero por una expresi\u00f3n vectorial. El siguiente tipo de dato define las expresiones vectoriales<\/p>\n

\n   data ExpV = Vec Int Int\n             | Sum ExpV ExpV\n             | Mul Int ExpV\n     deriving Show\n<\/pre>\n
Definir la funci\u00f3n<\/p>\n
\n   valorEV :: ExpV -> (Int,Int)\n<\/pre>\n
tal que valorEV e<\/code> es el valorEV de la expresi\u00f3n vectorial e<\/code>. Por ejemplo,<\/p>\n
\n   valorEV (Vec 1 2)                                  ==  (1,2)\n   valorEV (Sum (Vec 1 2) (Vec 3 4))                  ==  (4,6)\n   valorEV (Mul 2 (Vec 3 4))                          ==  (6,8)\n   valorEV (Mul 2 (Sum (Vec 1 2 ) (Vec 3 4)))         ==  (8,12)\n   valorEV (Sum (Mul 2 (Vec 1 2)) (Mul 2 (Vec 3 4)))  ==  (8,12)\n<\/pre>\n
Soluciones<\/b><\/p>\n
A continuaci\u00f3n se muestran las soluciones en Haskell<\/a> y las soluciones en Python<\/a>.<\/p>\n
<\/a>
\nSoluciones en Haskell<\/b><\/p>\n
\ndata ExpV = Vec Int Int\n          | Sum ExpV ExpV\n          | Mul Int ExpV\n  deriving Show\n\n-- 1\u00aa soluci\u00f3n\n-- ===========\n\nvalorEV1 :: ExpV -> (Int,Int)\nvalorEV1 (Vec x y)   = (x,y)\nvalorEV1 (Sum e1 e2) = (x1+x2,y1+y2)\n  where (x1,y1) = valorEV1 e1\n        (x2,y2) = valorEV1 e2\nvalorEV1 (Mul n e)   = (n*x,n*y)\n  where (x,y) = valorEV1 e\n\n-- 2\u00aa soluci\u00f3n\n-- ===========\n\nvalorEV2 :: ExpV -> (Int,Int)\nvalorEV2 (Vec a b)   = (a, b)\nvalorEV2 (Sum e1 e2) = suma (valorEV2 e1) (valorEV2 e2)\nvalorEV2 (Mul n e1)  = multiplica n (valorEV2 e1)\n\nsuma :: (Int,Int) -> (Int,Int) -> (Int,Int)\nsuma (a,b) (c,d) = (a+c,b+d)\n\nmultiplica :: Int -> (Int, Int) -> (Int, Int)\nmultiplica n (a,b) = (n*a,n*b)\n<\/pre>\n
<\/a>
\nSoluciones en Python<\/b><\/p>\n
\nfrom dataclasses import dataclass\n\n\n@dataclass\nclass ExpV:\n    pass\n\n@dataclass\nclass Vec(ExpV):\n    x: int\n    y: int\n\n@dataclass\nclass Sum(ExpV):\n    x: ExpV\n    y: ExpV\n\n@dataclass\nclass Mul(ExpV):\n    x: int\n    y: ExpV\n\n# 1\u00aa soluci\u00f3n\n# ===========\n\ndef valorEV1(e: ExpV) -> tuple[int, int]:\n    match e:\n        case Vec(x, y):\n            return (x, y)\n        case Sum(e1, e2):\n            x1, y1 = valorEV1(e1)\n            x2, y2 = valorEV1(e2)\n            return (x1 + x2, y1 + y2)\n        case Mul(n, e):\n            x, y = valorEV1(e)\n            return (n * x, n * y)\n    assert False\n\n# 2\u00aa soluci\u00f3n\n# ===========\n\ndef suma(p: tuple[int, int], q: tuple[int, int]) -> tuple[int, int]:\n    a, b = p\n    c, d = q\n    return (a + c, b + d)\n\ndef multiplica(n: int, p: tuple[int, int]) -> tuple[int, int]:\n    a, b = p\n    return (n * a, n * b)\n\ndef valorEV2(e: ExpV) -> tuple[int, int]:\n    match e:\n        case Vec(x, y):\n            return (x, y)\n        case Sum(e1, e2):\n            return suma(valorEV2(e1), valorEV2(e2))\n        case Mul(n, e):\n            return multiplica(n, valorEV2(e))\n    assert False\n<\/pre>\n","protected":false},"excerpt":{"rendered":"
Se consideran las expresiones vectoriales formadas por un vector, la suma de dos expresiones vectoriales o el producto de un entero por una expresi\u00f3n vectorial. El siguiente tipo de dato define las expresiones vectoriales data ExpV = Vec Int Int | Sum ExpV ExpV | Mul Int ExpV deriving Show Definir la funci\u00f3n valorEV ::…<\/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\/7793"}],"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=7793"}],"version-history":[{"count":1,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/7793\/revisions"}],"predecessor-version":[{"id":7794,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/7793\/revisions\/7794"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=7793"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=7793"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=7793"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}