User:Spekkio

From Rosetta Code
Revision as of 15:04, 29 November 2011 by rosettacode>Spekkio
My Favorite Languages
Language Proficiency
C Active
C++ Beginner
Java Active
JavaScript Active
SQL Active
Mathematica Active
MATLAB Active
UNIX Shell Beginner
Lisp Beginner
Erlang Beginner
POV-Ray Beginner
Pascal Rusty
x86 Assembly Rusty


Hello! I'm a Electronic Engineer, working with electronics developement.


I love computer programming, and my hobby is to program small simple computer programs.

I usually get stuck on an idea that I think would be fun to try and solve.

I love learning new programming languages.

Found this page recently, and it is perfect for me. :D


Currently I'm working on Huffman coding in C, and implementing a multi precision library to calculate

maclaurin series for different functions sin/cos/sqrt/pow etc... (see my recent post in Talk:Nth root)

<lang lisp> (defun factorial (n)

 (if (= n 0)
     1
   (* n (factorial (- n 1)))))

(defun powint (a b)

 (if (= b 0)
     1
   (* a (powint a (- b 1)))))

(defun binom (alpha n)

 (if (= n 1)
     alpha
   (* (binom alpha (- n 1)) (/ (+ (- alpha n) 1) n))))

(defun pow (a b n)

 (if (= n 0)
     1
   (+ (* (binom b n) (powint (- a 1) n)) (pow a b (- n 1)))))

(defun logS(x n) (if (= n 0) (* 2 x) (+ (* 2 (/ (powint x (+ (* 2 n) 1)) (+ (* 2 n) 1))) (logS x (- n 1)) ) ))

(defun loge(x n) (logS (/ (- x 1) (+ 1 x)) n))

(defun expon(x n) (if (= n 0) 1 (+ (/ (powint x n) (factorial n)) (expon x (- n 1)))))

(defun sqrtn(x n) (expon (* 1/2 (loge x n)) n))

(defun pown(x a n) (expon (* a (loge x n)) n))

(defun sine(x n)

 (if (= n 0)
     x
   (+ (* (/ (powint -1 n) (factorial (+ (* 2 n) 1)) ) (powint x (+ (* 2 n) 1))) (sine x (- n 1)))))

(defun cosi(x n) (if (= n 0) 1 (+ (* (/ (powint -1 n) (factorial (* 2 n)) ) (powint x (* 2 n))) (cosi x (- n 1)))))

(defun tang(x n) (/ (sine x n) (cosi x n)))

(defun asine (x n) (if (= n 0) x (+ (/ (* (factorial (* 2 n)) (powint x (+ (* 2 n) 1))) (* (powint 4 n) (powint (factorial n) 2) (+ (* 2 n) 1))) (asine x (- n 1)))))

(defun fibcalc (n p)

 (let ((sqrtFive (sqrtn 5 p)))
 (/ (- (powint (* 1/2 (+ 1 (sqrtFive))) n) (powint (* 1/2 (- 1 (sqrtFive))) n)) (sqrtFive))))

(defun fibrec (n)

 (if (= n 0)
     0
   (if (= n 1)

1

     (+ (fibrec (- n 1)) (fibrec (- n 2))))))

</lang>