exp 1-6: init

Signed-off-by: Amneesh Singh <natto@weirdnatto.in>

5.c

@@ -0,0 +1,42 @@
+#include <stdio.h>
+
+int main() {
+  int n, i, j = 1;
+  double xp, yp, f1, f2 = 0;
+
+  printf("Enter the number of inputs: ");
+  scanf("%d", &n);
+
+  double x[n], y[n];
+
+  printf("Enter input values:\n");
+  for (i = 0; i < n; i++) {
+    printf("x%d=", i);
+    scanf("%lf", x + i);
+    printf("y%d=", i);
+    scanf("%lf", y + i);
+  }
+
+  yp = y[0];
+
+  printf("Enter interpolation point x: ");
+  scanf("%lf", &xp);
+
+  do {
+    for (i = 0; i < n - 1; i++) 
+      y[i] = ((y[i + 1] - y[i]) / (x[i + j] - x[i]));
+
+    f1 = 1;
+
+    for (i = 0; i < j; i++) {
+      f1 *= (xp - x[i]);
+    }
+
+    f2 += (y[0] * f1);
+    j++;
+  } while ((--n) > 1);
+
+  yp += f2;
+  
+  printf("Interpolated value for %lf is %lf.", xp, yp);
+}