Update arithmetic_derivative.c

arithmetic_derivative.c

@@ -1,57 +1,56 @@
-#define VERSION "0.10"
-#define N 100
-
 #include <stdio.h>
 
-int derive (int n);
+long long derive (long long n);
-void split (int value, int *a, int *b);
+void split (long long value, long long *a, long long *b);
 
 int main () {
-	int n, res;
+    long long n, res;
     int sgn;
     char again;
     do {
         sgn = 1;
         printf ("Enter an integer: ");
-		scanf ("%d", &n);
+        scanf ("%lli", &n);
         if (n < 0)
             sgn = -1;
-		res = derive (sgn * n);
+        if ( sgn * n > 9999999999999999)
-		res = sgn * res;
+            printf ("Warning! Number too big. The result could be wrong\n");
-		printf ("The arithmetic derivative of %d is: %d", n, res);
+        res = derive (sgn * n); // derive (abs (n))
+        res = sgn * res; // (-n)' = -(n')
+        printf ("The arithmetic derivative of %lli is: %lli", n, res);
         getchar ();
         printf ("\nAgain? [y/n] ");
         scanf ("%c", &again);
     } while (again != 'n');
-	printf ("\n\n\nversion: %s", VERSION);
 }
 
-int derive (int n){
+// if n=ab  (a and b > 1) -> n'=a'b + ab'
-	int a = 1, b = 1;
+long long derive (long long n){
+    long long a = 1, b = 1;
     switch (n) {
-		case 0:	return 1; break;
+        case 0:	return 0; break; // 0' = 0
-		case 1: return 0; break;
+        case 1: return 0; break; // 1' = 0;
         default:
-			split (n, &a, &b);
+            split (n, &a, &b); // n = a * b
-			if (b > 1){ // not a prime
+            if (b > 1) // if n is not a prime
                 n = derive (a) * b + a * derive (b);
-			} else {
+            else
-				n = 1;
+                n = 1; // if n is a prime
-			}
             return n; 
             break;
     }
 }
 
-void split (int value, int *a, int *b) {
+// n = a * b
-	int i = 2;
+void split (long long value, long long *a, long long *b) {
-	int j = 0;
+	long long i = 2;
+	int stop = 0;
 	do {
         if (value % i == 0) {
 			*a = i;
 			*b = value / *a;
-			j++;
+			stop++;
 		}
 		i++;
-	} while (j == 0);
+	} while (stop == 0);
 }