PHP-Fusion Powered Website - Articles: C++ Program to Implement the Schonhage-Strassen Algorithm for Multiplication

Users Online

· Guests Online: 83

· Members Online: 0

· Total Members: 188
· Newest Member: meenachowdary055

Forum Threads

Newest Threads

No Threads created

Hottest Threads

No Threads created

Latest Articles

· Do while loop
· The for loop in C
· C while loop
· Pointers in C
· Functions in C

Oh no! Where's the JavaScript?
Your Web browser does not have JavaScript enabled or does not support JavaScript. Please enable JavaScript on your Web browser to properly view this Web site,
or upgrade to a Web browser that does support JavaScript; Firefox, Safari, Opera, Chrome or a version of Internet Explorer newer then version 6.

Articles Hierarchy

Articles Home » C++ » C++ Program to Implement the Schonhage-Strassen Algorithm for Multiplication

C++ Program to Implement the Schonhage-Strassen Algorithm for Multiplication

This is a C++ Program to implement Schonhage-Strassen algorithm to multiply two numbers.

Here is source code of the C++ Program to Implement the Schonhage-Strassen Algorithm for Multiplication of Two Numbers. The C++ program is successfully compiled and run on a Linux system. The program output is also shown below.

```
#include <iostream>
```
```
 
```
```
using namespace std;
```
```
 
```
```
int noOfDigit(long a)
```
```
{
```
```
    int n = 0;
```
```
    while (a > 0)
```
```
    {
```
```
        a /= 10;
```
```
        n++;
```
```
    }
```
```
    return n;
```
```
}
```

void schonhageStrassenMultiplication(long x, long y, int n, int m)

```
{
```
```
 
```
```
    int linearConvolution[n + m - 1];
```

    for (int i = 0; i < (n + m - 1); i++)

```
        linearConvolution[i] = 0;
```
```
 
```
```
    long p = x;
```
```
    for (int i = 0; i < m; i++)
```
```
    {
```
```
        x = p;
```
```
        for (int j = 0; j < n; j++)
```
```
        {
```

            linearConvolution[i + j] += (y % 10) * (x % 10);

```
            x /= 10;
```
```
        }
```
```
        y /= 10;
```
```
    }
```

    cout << "The Linear Convolution is: ( ";

    for (int i = (n + m - 2); i >= 0; i--)

```
    {
```

        cout << linearConvolution[i] << " ";

```
    }
```
```
    cout << ")";
```
```
 
```
```
    long product = 0;
```
```
    int nextCarry = 0, base = 1;
```
```
    ;
```
```
    for (int i = 0; i < n + m - 1; i++)
```
```
    {
```

        linearConvolution[i] += nextCarry;

        product = product + (base * (linearConvolution[i] % 10));

        nextCarry = linearConvolution[i] / 10;

```
        base *= 10;
```
```
    }
```

    cout << "\nThe Product of the numbers is: " << product;

```
 
```
```
}
```
```
int main(int argc, char **argv)
```
```
{
```
```
    cout << "Enter the numbers:";
```
```
    long a, b;
```
```
    cin >> a >> b;
```
```
    int n = noOfDigit(a);
```
```
    int m = noOfDigit(b);
```

    schonhageStrassenMultiplication(a, b, n, m);

```
}
```

Output:

$ g++ Schonhage-StrassenAlgorithm.cpp
$ a.out
 
Enter the numbers:3452 1245
The Linear Convolution is: ( 3 10 25 43 44 33 10 )
 Product of the numbers is: 4297740

Users Online

Forum Threads

Latest Articles

Articles Hierarchy

C++ Program to Implement the Schonhage-Strassen Algorithm for Multiplication

C++ Program to Implement the Schonhage-Strassen Algorithm for Multiplication

Comments

Post Comment

Ratings