Microsoft (R) F# Interactive version 11.0.50727.1 Copyright (c) Microsoft Corporation. All Rights Reserved. For help type #help;; > let fibonacci = Seq.cache <| Seq.unfold (fun (current, next) -> Some(current, (next, current + next))) (0I, 1I);; val fibonacci : seq> fibonacci |> Seq.nth 100;; val it : System.Numerics.BigInteger = 354224848179261915075 {IsEven = false; IsOne = false; IsPowerOfTwo = false; IsZero = false; Sign = 1;}
Ruby 2.0's Enumerator::Lazy can do "lazy evaluation" like this:
irb(main):001:0> RUBY_VERSION => "2.0.0" irb(main):002:0> fibonacci = Enumerator.new { |y| irb(main):003:1* a = 0 irb(main):004:1* b = 1 irb(main):005:1> loop do irb(main):006:2* y << a irb(main):007:2> a, b = b, a + b irb(main):008:2> end irb(main):009:1> }.lazy => #<Enumerator::Lazy: #<Enumerator: #<Enumerator::Generator:0x23cbbc0>:each>> irb(main):010:0> def fibonacci.nth(n) irb(main):011:1> self.take(n+1).find.with_index { |elem, i| i == n } irb(main):012:1> end => nil irb(main):013:0> fibonacci.nth(100) => 354224848179261915075
If the above sample did not use Enumerator::Lazy, it would take many many seconds.
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