uebung02 aufgabe 2

2025-04-28 15:16:11 +02:00
parent bb54a8a684
commit 7f113c4526
2 changed files with 145 additions and 0 deletions
--- a/uebung02/rationals/Rational.java
+++ b/uebung02/rationals/Rational.java
@@ -0,0 +1,122 @@
+package uebung02.rationals;
+
+public class Rational {
+    private final int num, denom;
+
+
+    Rational(int num, int denom) {
+        if (denom == 0) {
+            throw new IllegalArgumentException("Zahl darf nicht 0 sein!");
+        } else {
+            int gcd = gcDivider(num, denom);
+
+            if (denom < 0) {
+                this.num = -num / gcd;
+                this.denom = -denom / gcd;
+            } else {
+                this.num = num / gcd;
+                this.denom = denom / gcd;
+            }
+        }
+    }
+
+    Rational (int num) {
+        this(num, 1);
+    }
+
+    private int gcDivider(int x, int y) {
+        //return x == 0 ? y : gcDivider(y % x, x);
+        if (x == 0) {
+            return y;
+        } else {
+            return gcDivider(y % x, x);
+        }
+    }
+
+    public int getNum() {
+        return num;
+    }
+
+    public int getDenom() {
+        return denom;
+    }
+
+    public Rational add(Rational other) {
+        return new Rational(num * other.getDenom() + denom * other.getNum(),
+        denom * other.getDenom());
+    }
+
+    public Rational add(int i) {
+        return add(new Rational(i));
+    }
+
+    public Rational sub(Rational r) {
+        return new Rational(num * r.denom - denom * r.num, denom * r.denom);
+    }
+
+    public Rational sub(int i) {
+        return this.sub(new Rational(i));
+    }
+
+    public Rational mult(Rational r) {
+        return new Rational(num * r.num, denom * r.denom);
+    }
+
+    public Rational mult(int i) {
+        return mult(new Rational(i));
+    }
+
+    public Rational div(Rational r) {
+        return new Rational(num * r.denom, denom * r.num);
+    }
+
+    public Rational div(int i) {
+        return div(new Rational(i));
+    }
+
+    @Override
+    public String toString() {
+        if (denom == 1) {
+            return "" + num;
+        } else {
+            return num + "/" + denom;
+        }
+    }
+
+    public boolean lessThan(Rational r) {
+        return this.sub(r).num < 0;
+    }
+
+    public boolean lessThan(int i) {
+        return this.sub(i).num < 0;
+    }
+
+    public boolean greaterThan(Rational r) {
+        return this.sub(r).num > 0;
+    }
+
+    public boolean greaterThan(int i) {
+        return this.sub(i).num > 0;
+    }
+
+    public boolean lessThanOrEqual(Rational r) {
+        return this.sub(r).num <= 0;
+    }
+
+    public boolean lessThanOrEqual(int i) {
+        return this.sub(i).num <= 0;
+    }
+
+    public boolean greaterThanOrEqual(Rational r) {
+        return this.sub(r).num >= 0;
+    }
+
+    public boolean isEqual(Rational r) {
+        return this.num == r.num && this.denom == r.denom;
+    }
+
+    public boolean isEqual(int i) {
+        return this.isEqual(new Rational(i));
+    }
+
+}