Mathematics

A mathematics library written in GoMelan is available.

To import it see the Includes page.

Source code for the mathematics library

fn power(x: Int, pow: Int) -> Int
{
    if (pow <= 0) {
        return 1;
    }
    return (power(x, pow - 1) * x);
}

fn abs(x: Int) -> Int
{
    if (x < 0) {
        return (x * -1);
    }
    return x;
}

fn factorial(x: Int) -> Int
{
    if (x < 1) {
        return x * factorial(x - 1);
    }
    return 1;
}

fn sum(a: [Int]) -> Int
{
    s: Int = 0;

    for (i: Int = 0; i < len(a); i++) {
        s += a[i];
    }

    return s;
}

fn isPrime(n: Int) -> Bool
{
    if (n <= 1) {
        return false;
    }
    if (n == 2 || n == 3) {
        return true;
    }
    if (n % 2 == 0 || n % 3 == 0) {
        return false;
    }
    for (i: Int = 5; i * i <= n; i = i + 6) {
        if ((n % i == 0) || (n % (i + 2) == 0)) {
            return false;
        }
    }
    return true;
}

Detailed infos

power

Calculate the power of an integer to another integer.

fn power(x: Int, pow: Int) -> Int;

Detailed Information:

• Parameters:

  x: The base integer.

  pow: The exponent integer.

• Return:

  Returns x raised to the power of pow.

• Usage:

  Example: power(2, 3) will return 8.

Error handling If x is 0, the function returns 0.

abs

Calculate the absolute value of an integer.

fn abs(x: Int) -> Int;

Detailed Information:

• Parameter:

  x: The integer to calculate the absolute value for.

• Return:

  Returns the absolute value of x.

• Usage:

  Example: abs(-5) will return 5.

factorial

Calculate the factorial of an integer.

fn factorial(x: Int) -> Int;

Detailed Information:

• Parameter:

  x: The integer to calculate the factorial for.

• Return:

  Returns the factorial of x.

• Usage:

  Example: factorial(4) will return 24.

Error handling If x is less than 1, the function returns x.

sum

Calculate the sum of an array of integers.

fn sum(a: [Int]) -> Int;

Detailed Information:

• Parameter:

  a: An array of integers.

• Return:

  Returns the sum of the integers in the array.

• Usage:

  Example: sum([1, 2, 3]) will return 6.

isPrime

Determine if a given integer is a prime number.

fn isPrime(n: Int) -> Bool;

Detailed Information:

• Parameter:

  n: The integer to check for primality.

• Return:

  Returns true if n is a prime number, otherwise returns false.

• Usage:

  Example: isPrime(11) will return true.

Error handling If n is less than or equal to 1, the function returns false.