From c5fcf7179a83ef65c86c6a4a390029149e518649 Mon Sep 17 00:00:00 2001
From: Franciszek Malinka <franciszek.malinka@gmail.com>
Date: Tue, 5 Oct 2021 21:49:54 +0200
Subject: Duzy commit ze smieciami

---
 semestr-2/racket/lista6/solution.rkt | 73 ++++++++++++++++++++++++++++++++++++
 1 file changed, 73 insertions(+)
 create mode 100644 semestr-2/racket/lista6/solution.rkt

(limited to 'semestr-2/racket/lista6/solution.rkt')

diff --git a/semestr-2/racket/lista6/solution.rkt b/semestr-2/racket/lista6/solution.rkt
new file mode 100644
index 0000000..59bdecd
--- /dev/null
+++ b/semestr-2/racket/lista6/solution.rkt
@@ -0,0 +1,73 @@
+#lang racket
+
+(provide (struct-out complex) parse eval)
+
+(struct complex (re im) #:transparent)
+
+(define value?
+  complex?)
+
+(define (comp-plus x y)
+  (let ((x-re (complex-re x))
+        (x-im (complex-im x))
+        (y-re (complex-re y))
+        (y-im (complex-im y)))
+    (complex (+ x-re y-re) (+ x-im y-im))))
+
+(define (comp-minus x y)
+  (let ((x-re (complex-re x))
+        (x-im (complex-im x))
+        (y-re (complex-re y))
+        (y-im (complex-im y)))
+    (complex (- x-re y-re) (- x-im y-im))))
+
+(define (comp-mult x y)
+  (let ((x-re (complex-re x))
+        (x-im (complex-im x))
+        (y-re (complex-re y))
+        (y-im (complex-im y)))
+    (complex (- (* x-re y-re) (* x-im y-im)) (+ (* x-re y-im) (* x-im y-re)))))
+
+(define (comp-mod2 x)
+  (let ((x-re (complex-re x))
+        (x-im (complex-im x)))
+    (complex (+ (* x-re x-re) (* x-im x-im)) 0)))
+
+(define (comp-mod x)
+  (let ((mod2 (comp-mod2 x))
+        (x-re (complex-re x)))
+    (complex (sqrt x-re) 0)))
+
+(define (comp-div x y)
+  (let* ((mod2 (complex-re (comp-mod2 y)))
+        (x-re (complex-re x))
+        (x-im (complex-im x))
+        (y-re (complex-re y))
+        (y-im (complex-im y))
+        (real (+ (* x-re y-re) (* x-im y-im)))
+        (imag (- (* x-im y-re) (* x-re y-im))))
+    (complex (/ real mod2) (/ imag mod2))))
+  
+
+;; Ponizej znajduje sie interpreter zwyklych wyrazen arytmetycznych.
+;; Zadanie to zmodyfikowac go tak, by dzialal z liczbami zespolonymi.
+
+(struct const (val)    #:transparent)
+(struct binop (op l r) #:transparent)
+
+(define (imaginary-unit? c)
+  (eq? c 'i))
+
+(define (op->proc op)
+  (match op ['+ comp-plus] ['- comp-minus] ['* comp-mult] ['/ comp-div]))
+
+(define (eval e)
+  (match e
+    [(const n) n]
+    [(binop op l r) ((op->proc op) (eval l) (eval r))]))
+
+(define (parse q)
+  (cond [(number? q) (const (complex q 0))]
+        [(imaginary-unit? q) (const (complex 0 1))]
+        [(and (list? q) (eq? (length q) 3) (symbol? (first q)))
+         (binop (first q) (parse (second q)) (parse (third q)))]))
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