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author | Doni Pracner <quinnuendo@gmail.com> | |
Wed, 5 Feb 2014 20:30:15 +0000 (21:30 +0100) | ||
committer | Doni Pracner <quinnuendo@gmail.com> | |
Wed, 5 Feb 2014 20:30:15 +0000 (21:30 +0100) |
skripta-spa1-sadrzaj.tex | patch | blob | history |
index 6a3269d538c9943b6bbfff15af136fd1408b537b..6ad4a7eb9094e2bfc11bc4088ceaef5c45a56422 100644 (file)
--- a/skripta-spa1-sadrzaj.tex
+++ b/skripta-spa1-sadrzaj.tex
\paragraph{PolinomL.DEF} \
-\begin{lstlisting}[style=codeblock]
-DEFINITION MODULE PolinomL;
-TYPE
- Polinom = POINTER TO Monom;
- Monom = RECORD
- k : REAL;
- st : CARDINAL;
- veza : Polinom
- END;
-
-PROCEDURE Anuliraj(VAR p: Polinom);
-PROCEDURE Unos(VAR p: Polinom);
-PROCEDURE Stampaj(p: Polinom; d: CARDINAL);
-PROCEDURE Kopiraj(p: Polinom;
- VAR kopija: Polinom);
-PROCEDURE UbaciMonom(mon:Polinom;
- VAR p: Polinom);
-PROCEDURE PromeniZnak(VAR p: Polinom);
-PROCEDURE Saberi(p1, p2: Polinom;
- VAR zbir: Polinom);
-PROCEDURE SaberiNa(p: Polinom; VAR rez: Polinom);
-PROCEDURE Oduzmi(p1,p2: Polinom;
- VAR razlika: Polinom);
-PROCEDURE MonomPuta(p, mon: Polinom;
- VAR mp : Polinom);
-PROCEDURE Puta(p1, p2: Polinom; VAR pr: Polinom);
-PROCEDURE Kolicnik(p1, p2: Polinom;
- VAR kol, ost: Polinom;
- VAR ok : BOOLEAN);
-PROCEDURE PolinomNaN(p: Polinom; n: CARDINAL;
- VAR rez: Polinom);
-PROCEDURE DisposePolinom(VAR p: Polinom);
-
-END PolinomL.
-\end{lstlisting}
+\lstinputlisting[style=codeblock]{kodovi/polinomi/POLINOML.DEF}
\paragraph{PolinomL.MOD} \
-\begin{codeblock}
-(* Modul za rad sa polinomima preko listi
- verzija 2012, rev 1 *)
-IMPLEMENTATION MODULE PolinomL;
-FROM InOut IMPORT Write, WriteString, WriteLn,
- WriteCard, ReadCard, Done;
-FROM RealInOut IMPORT WriteReal, ReadReal;
-FROM Storage IMPORT ALLOCATE, DEALLOCATE;
-
-PROCEDURE Anuliraj(VAR p: Polinom);
-BEGIN
- p := NIL;
-END Anuliraj;
-
-PROCEDURE Kopiraj(p: Polinom; VAR kopija: Polinom);
-VAR
- pomocni: Polinom;
-BEGIN
- IF p = NIL THEN
- kopija := NIL
- ELSE
- NEW(kopija);
- kopija^ := p^;
- p := p^.veza;
- pomocni := kopija;
- WHILE p <> NIL DO
- NEW(pomocni^.veza);
- pomocni := pomocni^.veza;
- pomocni^ := p^;
- p := p^.veza
- END
- END
-END Kopiraj;
-
-PROCEDURE Stampaj(p: Polinom; d: CARDINAL);
-
- PROCEDURE StampajMonom(m : Polinom);
- BEGIN
- WITH m^ DO
- IF st <> 0 THEN
- IF ABS(k) <> 1.0 THEN
- WriteReal(ABS(k), d)
- END;
- Write('x');
- IF st <> 1 THEN
- Write('^');
- WriteCard(st, 1)
- END
- ELSE
- WriteReal(ABS(k), d)
- END
- END
- END StampajMonom;
-
-BEGIN
- IF p = NIL THEN
- WriteReal(0., d)
- ELSE
- IF p^.k < 0.0 THEN
- WriteString(' - ')
- END;
- StampajMonom(p);
- p := p^.veza;
- WHILE p <> NIL DO
- IF p^.k > 0.0 THEN
- WriteString(' + ')
- ELSE
- WriteString(' - ')
- END;
- StampajMonom(p);
- p := p^.veza
- END
- END
-END Stampaj;
-
-PROCEDURE UbaciMonom(mon:Polinom; VAR p: Polinom);
-VAR
- stari, tekuci, kopija: Polinom;
-BEGIN
- IF mon # NIL THEN
- NEW(kopija);
- kopija^ := mon^;
- tekuci := p;
- stari := NIL;
- WHILE (tekuci#NIL) AND (tekuci^.st>kopija^.st) DO
- stari := tekuci;
- tekuci := tekuci^.veza
- END;
- kopija^.veza := tekuci;
- IF tekuci = p THEN
- p := kopija
- ELSE
- stari^.veza := kopija
- END;
- IF (tekuci#NIL) AND (kopija^.st = tekuci^.st) THEN
- kopija^.k := kopija^.k + tekuci^.k;
- kopija^.veza := tekuci^.veza;
- DISPOSE(tekuci);
- IF kopija^.k = 0.0 THEN
- IF p = kopija THEN
- p := kopija^.veza
- ELSE
- stari^.veza := kopija^.veza
- END;
- DISPOSE(kopija)
- END
- END
- END
-END UbaciMonom;
-
-PROCEDURE Unos(VAR p : Polinom);
-VAR
- i, n: CARDINAL;
- novi: Polinom;
-BEGIN
- Anuliraj(p);
- REPEAT
- WriteLn;
- WriteString('Unesite broj monoma n (n>=0) ');
- ReadCard(n);
- UNTIL Done;
- WriteLn;
- FOR i := 1 TO n DO
- NEW(novi);
- WITH novi^ DO
- REPEAT
- WriteString('Unesite koeficijent monoma br.');
- WriteCard(i, 1);
- WriteString(' (<> 0) ');
- ReadReal(k);
- WriteLn
- UNTIL k <> 0.0;
- REPEAT
- WriteLn;
- WriteString('Unesite eksponent monoma br.');
- WriteCard(i, 1);
- WriteString(' (>=0) ');
- ReadCard(st);
- UNTIL Done;
- WriteLn;
- END;
- UbaciMonom(novi, p);
- DISPOSE(novi);
- END
-END Unos;
-
-PROCEDURE Saberi(p1, p2: Polinom; VAR zbir: Polinom);
-BEGIN
- Kopiraj(p1, zbir);
- WHILE p2 <> NIL DO
- UbaciMonom(p2, zbir);
- p2 := p2^.veza
- END
-END Saberi;
-
-PROCEDURE SaberiNa(p: Polinom; VAR rez: Polinom);
-BEGIN
- WHILE p <> NIL DO
- UbaciMonom(p,rez);
- p := p^.veza;
- END;
-END SaberiNa;
-
-PROCEDURE PromeniZnak(VAR p: Polinom);
-VAR
- t: Polinom;
-BEGIN
- t := p;
- WHILE t <> NIL DO
- t^.k := - t^.k;
- t := t^.veza
- END
-END PromeniZnak;
-
-PROCEDURE Oduzmi(p1,p2: Polinom; VAR razlika: Polinom);
-BEGIN
- Kopiraj(p2, razlika);
- PromeniZnak(razlika);
- WHILE p1 <> NIL DO
- UbaciMonom(p1, razlika);
- p1 := p1^.veza
- END
-END Oduzmi;
-
-PROCEDURE MonomPuta(p, mon: Polinom; VAR mp: Polinom);
-VAR
- tekuci: Polinom;
-BEGIN
- Anuliraj(mp);
- IF (mon <> NIL) AND (p <> NIL) THEN
- NEW(mp);
- mp^.k := p^.k * mon^.k;
- mp^.st := p^.st + mon^.st;
- p := p^.veza;
- tekuci := mp;
- WHILE p <> NIL DO
- NEW(tekuci^.veza);
- tekuci := tekuci^.veza;
- tekuci^.k := p^.k * mon^.k;
- tekuci^.st := p^.st + mon^.st;
- p := p^.veza
- END;
- tekuci^.veza := NIL
- END
-END MonomPuta;
-
-PROCEDURE Puta(p1, p2: Polinom; VAR pr: Polinom);
-VAR
- pomocni: Polinom;
-BEGIN
- Anuliraj(pr);
- IF (p1 <> NIL) AND (p2 <> NIL) THEN
- MonomPuta(p1, p2, pr);
- p2 := p2^.veza;
- WHILE p2 <> NIL DO
- MonomPuta(p1, p2, pomocni);
- REPEAT
- UbaciMonom(pomocni, pr);
- pomocni := pomocni^.veza
- UNTIL pomocni = NIL;
- p2 := p2^.veza
- END
- END
-END Puta;
-
-PROCEDURE Kolicnik(p1, p2: Polinom; VAR kol, ost: Polinom; VAR ok: BOOLEAN);
-
- PROCEDURE Deli(VAR kol, ost: Polinom);
- VAR
- novi, pomocni: Polinom;
- BEGIN
- IF ost <> NIL THEN
- IF ost^.st >= p2^.st THEN
- NEW(novi);
- novi^.k := - ost^.k / p2^.k;
- novi^.st := ost^.st - p2^.st;
- MonomPuta(p2, novi, pomocni);
- Saberi(ost, pomocni, ost);
- novi^.k := - novi^.k;
- UbaciMonom(novi, kol);
- DISPOSE(novi);
- Deli(kol, ost)
- END
- END
- END Deli;
-
-BEGIN (* Kolicnik *)
- ok := TRUE;
- Anuliraj(kol);
- IF p2 = NIL THEN
- ok := FALSE
- ELSE
- Kopiraj(p1, ost);
- Deli(kol, ost)
- END
-END Kolicnik;
-\end{codeblock}
-\manbreakJK
-\begin{codeblock}
-PROCEDURE PolinomNaN(p: Polinom; n: CARDINAL;
- VAR rez: Polinom);
-VAR
- i: CARDINAL;
-BEGIN
- IF n = 0 THEN
- NEW(rez);
- rez^.k := 1.0;
- rez^.st := 0;
- rez^.veza := NIL;
- ELSIF n = 1 THEN
- Kopiraj( p, rez );
- ELSE
- rez := p;
- FOR i := 2 TO n DO
- Puta(rez, p, rez)
- END
- END;
-END PolinomNaN;
-
-PROCEDURE DisposePolinom(VAR p: Polinom);
-VAR
- pomocni: Polinom;
-BEGIN
- pomocni := p;
- WHILE pomocni # NIL DO
- p := p^.veza;
- DISPOSE(pomocni);
- pomocni := p
- END
-END DisposePolinom;
-
-END PolinomL.
-\end{codeblock}
-
+\lstinputlisting[style=codeblock]{kodovi/polinomi/POLINOML.MOD}
\subsection{Zadatak: Sabiranje sa unapred određenim polinomom}
Želimo da ispišemo uneti polinom uvećan za\\ $x^5 - 3x^4 + 4x + 7$.
-\begin{lstlisting}[style=codeblock]
-MODULE polinom;
-FROM PolinomL IMPORT Polinom, Stampaj, Anuliraj, DisposePolinom, UbaciMonom, Unos, Saberi;
-FROM InOut IMPORT WriteString, WriteLn;
-FROM Storage IMPORT ALLOCATE, DEALLOCATE;
-
-VAR
- p,q,rez,pom : Polinom;
-
-BEGIN
- (* korisnik unosi prvi polinom *)
- WriteString("Unesite polinom:");
- WriteLn;
- Unos(p);
- (* drugi polinom kreiramo mi,
- monom po monom *)
- Anuliraj(q); (* isto sto i q:=NIL; *)
- (* formiramo monom x^5 *)
- NEW(pom);
- pom^.st:=5;
- pom^.k:=1.0;
- (* dodajemo ga u polinom *)
- UbaciMonom(pom,q);
- DISPOSE(pom);
- (* -3 x^4 *)
- NEW(pom);
- pom^.st := 4;
- pom^.k := -3.0;
- UbaciMonom(pom,q);
- DISPOSE(pom);
- (* 4 x *)
- NEW(pom);
- pom^.st := 1;
- pom^.k := 4.0;
- UbaciMonom(pom,q);
- DISPOSE(pom);
- (* 7 (x^0) *)
- NEW(pom);
- pom^.st := 0;
- pom^.k := 7.0;
- UbaciMonom(pom,q);
- DISPOSE(pom);
- (* saberemo polinome *)
- Saberi(p, q, rez);
- (* odstampamo rezultat *)
- Stampaj(rez,0);
- WriteLn;
- (* oslobadjanje zauzete memorije *)
- DisposePolinom(p);
- DisposePolinom(q);
- DisposePolinom(rez);
-END polinom.
-\end{lstlisting}
+\lstinputlisting[style=codeblock]{kodovi/polinomi/polinom.MOD}
\subsection{Zadatak: Suma k polinoma}
Napisati program koji ucitava broj k (1<=k<=50) i k polinoma, a nakon
toga izracunava njihovu sumu
-\begin{lstlisting}[style=codeblock]
-MODULE PolSuma;
-
-FROM PolinomL IMPORT Polinom, Anuliraj, DisposePolinom, Unos, Stampaj, SaberiNa;
-FROM InOut IMPORT WriteLn, WriteString, ReadCard, WriteCard;
-CONST
- maxk = 50;
-TYPE
- nizPol = ARRAY [1..maxk] OF Polinom;
-VAR
- i, k: CARDINAL;
- suma : Polinom;
- p : nizPol;
-BEGIN
- REPEAT
- WriteString('Unesite broj k (1 <= k <= ');
- WriteCard(maxk, 1);
- WriteString(') ');
- ReadCard(k);
- WriteLn;
- UNTIL (1 <= k) AND (k <= maxk);
- FOR i := 1 TO k DO
- WriteLn;
- WriteString('Unos ');
- WriteCard(i, 1);
- WriteString('. polinoma.');
- WriteLn;
- Unos(p[i])
- END;
- Anuliraj(suma);
- FOR i := 1 TO k DO
- SaberiNa(p[i], suma)
- END;
- WriteLn;
- WriteString('Njihova suma je:');
- WriteLn;
- Stampaj(suma, 4);
- DisposePolinom(suma);
- FOR i := 1 TO k DO
- DisposePolinom(p[i]);
- END;
-END PolSuma.
-\end{lstlisting}
+\lstinputlisting[style=codeblock]{kodovi/polinomi/PolSuma.MOD}
\sectionbreak
\section{Stek i red opsluživanja}