From 97a90d317da36867e4a0fa9f5ffb9f47fa616f71 Mon Sep 17 00:00:00 2001
From: "lisa.pizzo" <lisa.pizzo@noreply.imsc.uni-graz.at>
Date: Wed, 22 Oct 2025 16:00:32 +0200
Subject: [PATCH] Exercise 1, Sheet 1

---
 mainEx1.cpp | 85 +++++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 85 insertions(+)
 create mode 100644 mainEx1.cpp

diff --git a/mainEx1.cpp b/mainEx1.cpp
new file mode 100644
index 0000000..15583a8
--- /dev/null
+++ b/mainEx1.cpp
@@ -0,0 +1,85 @@
+#include <iostream>  // for input/output
+#include <cmath>     // for pow (used in geometric mean)
+#include <vector>
+
+using namespace std;
+void computeMeans(int a, int b, int c, double &arith, double &geom, double &harm) { //doesn't return anything
+    arith = (a + b + c) / 3.0;
+    geom = pow(a * b * c, 1.0 / 3.0);
+    harm = 3.0 / ( (1.0 / a) + (1.0 / b) + (1.0 / c) );
+}
+void computeMeansVector(const vector<int> &v, double &arith, double &geom, double &harm) {
+    int n = v.size();  // number of elements in the vector
+    // If the vector is empty, avoid division by zero
+    if (n == 0) {
+        arith = geom = harm = 0.0;
+        return;
+    }
+    double sum = 0.0;
+    double product = 1.0;
+    double reciprocalSum = 0.0;
+
+    for (int i = 0; i < n; ++i) {
+        sum += v[i];
+        product *= v[i];
+        reciprocalSum += 1.0 / v[i];
+    }
+
+    arith = sum / n;
+    geom = pow(product, 1.0 / n);
+    harm = n / reciprocalSum;
+}
+
+int main() {
+    int x, y, z;
+    double am, gm, hm; // to store the results
+    double amV, gmV, hmV; // to store the results vector case
+    vector<int> values;
+
+    // Example input 1
+    x = 1; y = 4; z = 16;
+    computeMeans(x, y, z, am, gm, hm);
+    cout << "Input: (1, 4, 16)" << endl;
+    cout << "Arithmetic mean: " << am << endl;
+    cout << "Geometric mean:  " << gm << endl;
+    cout << "Harmonic mean:   " << hm << endl << endl;
+
+    values = {1, 4, 16};
+    computeMeansVector(values, amV, gmV, hmV);
+    cout << "Input: (1, 4, 16)" << endl;
+    cout << "Arithmetic mean: " << amV << endl;
+    cout << "Geometric mean:  " << gmV << endl;
+    cout << "Harmonic mean:   " << hmV << endl << endl;
+
+    // Example input 2
+    x = 2; y = 3; z = 5;
+    computeMeans(x, y, z, am, gm, hm);
+    cout << "Input: (2, 3, 5)" << endl;
+    cout << "Arithmetic mean: " << am << endl;
+    cout << "Geometric mean:  " << gm << endl;
+    cout << "Harmonic mean:   " << hm << endl << endl;
+
+    values = {2, 3, 5};
+    computeMeansVector(values, amV, gmV, hmV);
+    cout << "Input: (2, 3, 5)" << endl;
+    cout << "Arithmetic mean: " << amV << endl;
+    cout << "Geometric mean:  " << gmV << endl;
+    cout << "Harmonic mean:   " << hmV << endl << endl;
+
+    // Example input 3
+    x = 1000; y = 4000; z = 16000;
+    computeMeans(x, y, z, am, gm, hm);
+    cout << "Input: (1000, 4000, 16000)" << endl;
+    cout << "Arithmetic mean: " << am << endl;
+    cout << "Geometric mean:  " << gm << endl;
+    cout << "Harmonic mean:   " << hm << endl << endl;
+
+    values = {1000, 4000, 16000};
+    computeMeansVector(values, amV, gmV, hmV);
+    cout << "Input: (1000, 4000, 16000)" << endl;
+    cout << "Arithmetic mean: " << amV << endl;
+    cout << "Geometric mean:  " << gmV << endl;
+    cout << "Harmonic mean:   " << hmV << endl << endl;
+
+    return 0;
+}