taocp

taocp sandbox.
git clone git://git.ricketyspace.net/taocp.git
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commit c5e46d2b7b42a0e01eaf2307793d29d3243e39bf
parent 5778a7251f6a09a74bb896503c11f2f686b1f09b
Author: rsiddharth <s@ricketyspace.net>
Date:   Wed,  1 Feb 2017 00:30:41 +0000

Add guile/taocp/one/two/eight/fib.scm

Diffstat:
guile/taocp/one/two/eight/fib.scm | 361+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
1 file changed, 361 insertions(+), 0 deletions(-)

diff --git a/guile/taocp/one/two/eight/fib.scm b/guile/taocp/one/two/eight/fib.scm @@ -0,0 +1,361 @@ +;;;; copyright 2016 rsiddharth <s@ricketyspace.net> +;;;; under gnu general public license version 3 or higher. + +(define-module (taocp one two eight fib) + #:use-module (srfi srfi-1) + #:export (fib-fast + fib-1-1000)) + +(define phi + (/ (+ 1 (sqrt 5.0)) 2.0)) + +(define phi-dash + (/ (- 1 (sqrt 5.0)) 2.0)) + +(define (fib-fast n) + "compute fibonacci of `n`." + (/ (- (expt phi n) (expt phi-dash n)) + (sqrt 5.0))) + +(define (fib-1-1000) + "return fibonacci numbers between 1 and 1000." + (reverse (fold (lambda (n prev) + (cons (fib-fast n) prev)) + '() + (iota 1000 0)))) + + +;; scheme@(taocp one two eight fib)> (fib-1-1000) +;; $39 = (0.0 1.0 1.0 2.0 3.0 5.0 8.0 13.0 21.0 34.0 54.99999999999999 +;; 89.0 143.99999999999997 232.99999999999994 377.00000000000006 610.0 +;; 986.9999999999998 1596.9999999999998 2584.0 4181.0 +;; 6764.999999999999 10945.999999999998 17710.999999999996 +;; 28656.999999999996 46367.99999999999 75025.0 121392.99999999999 +;; 196418.0 317811.0 514228.99999999994 832039.9999999999 +;; 1346268.9999999998 2178309.0 3524577.9999999995 5702886.999999999 +;; 9227465.0 14930351.999999998 24157816.999999996 39088168.99999999 +;; 63245985.99999999 102334154.99999999 165580140.99999997 +;; 267914295.99999994 433494437.0 701408732.9999999 1134903169.9999998 +;; 1836311903.0 2971215072.9999995 4807526975.999999 7778742048.999998 +;; 12586269024.999998 20365011074.0 32951280098.999992 +;; 53316291172.999985 86267571271.99998 139583862444.99997 +;; 225851433716.99997 365435296161.99994 591286729878.9999 +;; 956722026040.9999 1548008755919.9998 2504730781960.9995 +;; 4052739537880.999 6557470319841.999 10610209857722.998 +;; 17167680177564.996 27777890035287.996 44945570212852.99 +;; 72723460248140.98 117669030460993.98 190392490709134.97 +;; 308061521170129.0 498454011879263.9 806515533049392.9 +;; 1304969544928656.8 2111485077978049.5 3416454622906706.0 +;; 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