// Iterative solution
unsigned long iterativeFactorial(const unsigned long n) {
unsigned long i, factorial = 1;
for(i = 1; i <= n; i++) {
factorial *= i;
}
return factorial;
}
// Recursive solution
unsigned long recursiveFactorial(const unsigned long n) {
if(n <= 1) {
return n;
}
return n * recursiveFactorial(n - 1);
}
// Sample calls
int main() {
unsigned long n;
printf("Enter a number to find its factorial: ");
scanf("%u",&n);
printf("Iterative factorial: %u\n", iterativeFactorial(n));
printf("Recursive factorial: %u\n", recursiveFactorial(n));
return 0;
}
#include <stdio.h>
long double fact (long double n) {
return (n == 1) ? 1 : n * fact(n-1);
}
void main()
{
int n;
printf("Enter a number:\n>");
scanf("%d",&n);
printf("%d! = %Lf\n", fact(n));
//long double can hold much bigger numbers than say, int or double.
}
Note: This fails at N=20 due to truncation error
#include <stdio.h>
#define FALSE (0)
#define TRUE (1)
}
/* Microsoft 64-bit recursive */
unsigned long long NFactLongLongRecursive (unsigned long long N) {
if (N < 2) return 1;
if (N == 2) return 2;
return N * NFactLongLongRecursive (N - 1);
/* Example main line */
int main (int argc, char *argv[]) {
int N;
if (argc < 2) {
fprintf (stderr, "Usage: factorial N\n");
return 1;
}
N = atoi (argv[1]);
printf ("Recursive: %u! = %I64u\n", N, NFactLongLongRecursive (N));
return 0;
}
A recursive function is one that calls upon itself until a given result in the original call is met. Take a look at this example. Program Recursion; Uses crt; Var number:longint; Function Factorial(number:longint):longint; Begin if number > 0 then factorial:=number*factorial(number-1) else factorial:=1; End; Begin clrscr; readln(number); writeln(factorial(number)); readln; End. Note how the function factorial calls itself.
function factorial(n) { var x=1; while(n>1) x*=(n--); return x; }
#!/usr/bin/perl print factorial($ARGV[11]); sub factorial { my($num) = @_; if($num == 1) { return 1; # stop at 1, factorial doesn't multiply times zero } else { return $num * factorial($num - 1); # call factorial function recursively } }
A recursive system is one in which the output is dependent on one or more of its past outputs while a non recursive system is one in which the output is independent of any past outputs.e.g feedforward system having no feedback is a non recursive system.
Yes, but a recursive function running for a long time would eventually cause your program to crash.
A recursive function is one that calls upon itself until a given result in the original call is met. Take a look at this example. Program Recursion; Uses crt; Var number:longint; Function Factorial(number:longint):longint; Begin if number > 0 then factorial:=number*factorial(number-1) else factorial:=1; End; Begin clrscr; readln(number); writeln(factorial(number)); readln; End. Note how the function factorial calls itself.
write a java program to find factorial using recursive and non recursive
function factorial(n) { var x=1; while(n>1) x*=(n--); return x; }
#!/usr/bin/perl print factorial($ARGV[11]); sub factorial { my($num) = @_; if($num == 1) { return 1; # stop at 1, factorial doesn't multiply times zero } else { return $num * factorial($num - 1); # call factorial function recursively } }
A recursive system is one in which the output is dependent on one or more of its past outputs while a non recursive system is one in which the output is independent of any past outputs.e.g feedforward system having no feedback is a non recursive system.
Yes, but a recursive function running for a long time would eventually cause your program to crash.
Functions are used to reduce the lines of code and the complexity of the code. For an instance let us suppose that you want to calculate the factorial of numbers at different times in a program. There are two ways to do this 1. Write a 4-5 line code every time you want to calculate factorial. 2. Write a function of 4-5 lines which calculates the factorial and call that function every time you need to calculate factorial by just writing a single line. In C++ you can pass the variable, address of the variable or a reference to the variable in a function
From the manpage of the bc(1) command: The following is the definition of the recursive factorial function. define f (x) { if (x <= 1) return (1); return (f(x-1) * x); } So you could enter that definition of f(), and then call it, for example f(10)
The advantages of recursion tend to revolve around the fact that there are quite a few algorithms which lend themselves to recursion (tree traversal, binary searches, quick sort, etc.) The disadvantages of recursion include: * finite number of recursive steps (limited heap space) * speed/efficiency (easier to increment a loop counter than call a function)
1) Recursive algorithms 2) Basic Principle 3) Analysis
// Iterative solution public static final long iterativeFactorial(final long n) { long factorial = 1; for (long i = 1; i <= n; i++) { factorial *= i; } return factorial; } // Recursive solution public static final long recursiveFactorial(final long n) { if (n <= 1) { return n; } return n * recursiveFactorial(n - 1); } // Arbitrary length solution - may take a while, but works on any positive number. public static final BigInteger factorial(final BigInteger n) { BigInteger factorial = BigInteger.ONE; for (BigInteger i = BigInteger.ONE; i.compareTo(n) <= 0; i = i.add(BigInteger.ONE)) { factorial = factorial.multiply(i); } return factorial; }
Note: You may need a larger data type, factorials become very big very quickly and may cause an overflow long factorial(int x) { if(x == 1) return 1; . return((long) factorial(x-1) * x);