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(define (foldr func init lst) | |
(if (null? lst) | |
init | |
(func (car lst) (foldr func init (cdr lst))))) | |
(define (foldl func init lst) | |
(if (null? lst) | |
init | |
(foldl func (func (car lst) init) (cdr lst)))) | |
(define (koduj-alfabetycznie val lst) | |
(foldl (lambda (v acc) (if (equal? val (car v)) | |
(cdr v) | |
acc)) val lst)) | |
(define (odwroc-alfabet lst) | |
(map (lambda (pair) (cons (cdr pair) (car pair))) lst)) | |
(define (alfabetyczny-koder lst) | |
(lambda (val) | |
(koduj-alfabetycznie val lst))) | |
(define (square x) (* x x)) | |
(define (expmod base exp m) | |
(cond ((= exp 0) 1) | |
((even? exp) (remainder (square (expmod base (/ exp 2) m)) m)) | |
(else (remainder (* base (expmod base (- exp 1) m)) m)))) | |
(define (egcd a b) | |
(if (zero? b) | |
(list a 1 0) | |
(let* ((prev (egcd b (modulo a b))) | |
(g (car prev)) | |
(x (cadr prev)) | |
(y (caddr prev))) | |
(list g y (- x (* y (quotient a b))))))) | |
(define (modinv a m) | |
(let ((ret (egcd a m))) | |
(if (= (car ret) 1) | |
(modulo (cadr ret) m) | |
#f))) | |
(define (max-coprime-upto val a) | |
(cond ((= a 1) 1) | |
((= (car (egcd a val)) 1) a) | |
(else (max-coprime-upto val (- a 1))))) | |
(define (generuj-klucze p q x) | |
(let* ((n (* p q)) | |
(tmp (* (- p 1) (- q 1))) | |
(e (max-coprime-upto tmp x)) | |
(s (modinv e tmp))) | |
(cons (cons n e) (cons n s)))) | |
(define (rsa-koder key) | |
(lambda (val) (expmod val (cdr key) (car key)))) | |
(define (koduj lst f) | |
(map f lst)) | |
(define (p/q-koder lst) | |
(lambda (init) (foldr (lambda (val acc) (+ val (/ 1 acc))) init lst))) | |
(define (p/q-dekoder lst) | |
(lambda (init) (foldl (lambda (val acc) (/ 1 (- acc val))) init lst))) | |
(define (komponuj lst) | |
(lambda (init) (foldl (lambda (f acc) (f acc)) init lst))) |
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