Added template for Newton

And placed horner into horner/ folder

horner/horner_simple.cpp

@@ -0,0 +1,83 @@
+#include <iostream>
+#include <fstream>
+#include <vector>
+
+using namespace std;
+
+pair<vector<float>,int> read_data() {
+    string str;
+    vector<float> a;
+    int stopien = 0;
+
+    fstream file("../dane.txt");
+    if (!file)
+    {
+        cerr << "Nie udalo sie otworzyc pliku\n";
+        exit(EXIT_FAILURE);
+    }
+
+    while (getline(file, str))
+    {
+        a.insert(a.begin(), stof(str));
+        // cout << "a[" << stopien << "]=" << str << endl;
+        stopien++;
+    }
+    file.close();
+
+    if (stopien <= 0)
+    {
+        cout << "Plik istnieje, ale jest pusty!\n";
+        exit(EXIT_FAILURE);
+    }
+
+    return make_pair(a, stopien);
+}
+
+vector<float> policz(vector<float> a, int stopien, float x) {
+    vector<float> b(stopien);
+
+    for (int i = stopien - 1; i >= 0; i--)
+    {
+        if (i == stopien)
+        {
+            b[i] = a[i];
+        }
+        else if (i > 0)
+        {
+            b[i] = a[i] + b[i + 1] * x;
+        }
+        else if (i == 0)
+        {
+            b[i] = a[i] + b[i + 1] * x;
+        }
+    }
+    return b;
+}
+
+int main()
+{
+    float x = 0;
+
+    cout << "Program do obliczenia wielomianu schematem hornera\n";
+
+    pair<vector<float>,int> para = read_data();
+    
+    vector<float> a = para.first;
+    int stopien = para.second;
+
+    vector<float> b;
+
+    cout << "Podaj x dla ktorego szukamy rozwiazania: ";
+    cin >> x;
+
+    b = policz(a, stopien, x);
+
+    for (int i = b.size()-1; i >= 0; i--)
+    {
+        cout << "b" << i << ": " << b[i] << "\n";
+    }
+
+    cout << "Rozwiazaniem wielomianu jest: " << b[0] << endl;
+
+    return 0;
+}