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functional-javascript-lists-1
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var list = new Cons(1, new Cons(3, new Cons(42, new Cons(28, Nil)))); |
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var cons = function(head, tail) { | |
return new Cons(head, tail); | |
}; | |
var list = cons(1, cons(3, cons(42, cons(28, Nil)))); |
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var Cons = function(head, tail) { | |
this.head = head; | |
this.tail = tail; | |
}; | |
Cons.prototype.isEmpty = false; |
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fib(4) | |
fib(3) + fib(2) | |
fib(2) + fib(1) + fib(1) + fib(0) | |
fib(1) + fib(0) + 1 + 1 + 0 | |
1 + 0 + 1 + 1 + 0 | |
3 |
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function fib(n) { | |
if (n < 2) { | |
return n; | |
} | |
var n0 = 0; | |
var n1 = 1; | |
var ans = 0; | |
for (var i = 2; i <= n; i++) { | |
ans = n0 + n1; | |
n0 = n1; | |
n1 = ans; | |
} | |
return ans; | |
} |
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function fib(n) { | |
if (n < 2) { | |
return n; | |
} | |
return fib(n - 1) + fib(n - 2); | |
} |
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var myList = list(1, 3, 5); | |
//=> cons(1, cons(3, cons(5, Nil))); | |
var myOtherList = myList.map(n => n * 3); | |
//=> cons(3, cons(9, cons(15, Nil))); | |
var nine = myList.reduce((x, y) => x + y); | |
//=> 9 | |
var listOfLists = list(list(1), list(2), list(3)); | |
//=> cons(cons(1, Nil), cons(cons(2, Nil), cons(cons(3, Nil), Nil))); | |
var flattened = listOfLists.map(innerList => innerList.head); | |
//=> cons(1, cons(2, cons(3, Nil))); |
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var list = function () { | |
if (arguments.length === 0) { | |
return Nil; | |
} | |
var head = arguments[0]; | |
var tail = [].slice.call(arguments, 1); | |
return cons(head, list.apply(null, tail)); | |
}; |
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var list = cons(1, cons(2, cons(3, Nil))); | |
var double = (n) => n * 2; | |
map(list, double); // yields: | |
cons(2, map(cons(2, cons(3, Nil)), double)); | |
cons(2, cons(4, map(cons(3, Nil), double))); | |
cons(2, cons(4, cons(6, map(Nil, double)))); | |
cons(2, cons(4, cons(6, Nil))); |
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var list = cons(1, cons(2, cons(3, Nil))); | |
var double = (n) => n * 2; | |
list.map(double); // cons(2, cons(4, cons(6, Nil))) |
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Cons.prototype.map = function(fn) { | |
return this.reduce((item) => cons(), Nil); | |
}; |
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var map = function(list, fn) { | |
if (list.isEmpty) { | |
return list; | |
} | |
return cons(fn(list.head), map(list.tail, fn)); | |
}; |
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var Nil = { | |
isEmpty: true, | |
get head() { | |
throw new Error('Accessing head on empty list.'); | |
}, | |
get tail() { | |
throw new Error('Accessing tail on empty list.'); | |
} | |
}; |
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Cons.prototype.map = function (fn) { | |
var consBuilder = function(memo, value) { | |
return cons(fn(value), memo); | |
}; | |
return this.reduceRight(consBuilder, Nil); | |
}; |
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Cons.prototype.map = function(fn) { | |
return cons(fn(this.head), this.tail.map(fn)); | |
}; | |
Nil.map = function() { | |
return this; | |
}; |
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Cons.prototype.reduce = function(fn, memo) { | |
return this.tail.reduce(fn, fn(memo, this.head)); | |
}; | |
Nil.reduce = function(fn, memo) { | |
return memo; | |
}; |
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Cons.prototype.reduceRight = function(fn, memo) { | |
return fn(this.tail.reduceRight(fn, memo), this.head); | |
}; | |
Nil.reduceRight = Nil.reduce; |
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var list = cons(1, cons(2, cons(3, Nil))); | |
var add = (x, y) => x + y; | |
reduce(list, add, 0); //=> 6 |
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var reduce = function(list, fn, memo) { | |
if (list.isEmpty) { | |
return memo; | |
} | |
return reduce(list.tail, fn, fn(memo, list.head)); | |
}; |
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