Created
July 31, 2013 13:34
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JavaScriptにおいてはObject型が成功と失敗を同時に表す型。
つまり、値がnullまたはundefinedならば失敗を表し、それ以外なら成功を表す。 その前提でMaybeのモナド則を書くと。。。
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var maybe = { | |
'return': function (value) { | |
return value; | |
}, | |
'bind': function (value, f) { | |
if (value == null) return null; | |
return f(value); | |
} | |
}; | |
(function () { | |
console.log('Monad law 1'); | |
var f = function(a) { return maybe.return(a * 3); }; | |
var lhs = maybe.bind(maybe.return(5), f); | |
var rhs = f(5); | |
if (lhs !== rhs) throw Error('Monad law 1'); | |
}()); | |
(function () { | |
console.log('Monad law 2'); | |
var m = maybe.return(5); | |
var lhs = maybe.bind(m, maybe.return); | |
if (m !== lhs) throw Error('Monad law 2'); | |
}()); | |
(function () { | |
console.log('Monad law 3'); | |
var f = function(a) { return maybe.return(a * 3); }; | |
var g = function(a) { return maybe.return(a * 5); }; | |
var m = maybe.return(7); | |
var lhs = maybe.bind(maybe.bind(m, f), g); | |
var rhs = maybe.bind(m, function(x) { return maybe.bind(f(x), g); }); | |
if (lhs !== rhs) throw Error('Monad law 3'); | |
}()); |
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