Some mathematical functions in JavaScript

This is a custom JavaScript library for some of Math methods.
This is not overriding built-in Math() method, just a custom module with different functions combined.

Factorial | Combination | Permutation | Comma for large integer | Fibonacci sequence | Get factors from positive integer | Check prime number | Generate prime numbers | Generate Pascal's triangle | Least Common Multiple | Greatest Common Factor

INDEPENDENT PAGE | EDIT ON CODEPEN

The main script is updated on 2015-09-02: this is the link.
The main script in this demo and main script in the main repository are the same.

I'll be adding more methods lator en.

Meanwhile, it consists of:

Usage: math.factorial(n)

Example: math.factorial(3) will generate output 6 (number).

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Usage: math.combination(n, k)

Example: math.combination(5, 2) will generate output 10 (number).

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Usage: math.permutation(n, k)

Example: math.permutation(5, 2) will generate output 20 (number).

n is total number

k is the number of combination or permutation

Also, browser only accommodates 21 digits without compacting it with the exponent. So, that.

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Usage: math.addcomma(your_number)

your_number can be positive or negative. It has to be number (integer). If it has decimal point, it will be rounded down to nearest integer. Once again, browser only accommodates 21 digits before it is compacted using exponent.

Examples:

This isn't actually a math operation, more like structuring-number-so-it-can-be-read.

Explanation on Monkey Raptor

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Usage: math.fibonacci(1st_number, 2nd_number, how_many)

You have to provide all three arguments. Each has to be non-zero 1st_number and 2nd_number can be zero and how_many has to be greater than 0. It will also be rounded down to nearest integer if you put number with decimal point.

Example: math.fibonacci(-1, 2, 5) will generate output: -1, 2, 1, 3, 4, 7, 11 (string output). It started from -1 and 2, then generated 5 additional numbers sequence.

Demo on CodePen

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Usage: math.factorof(the_number, flag)

It has flag. 0 to return only the factors (string). 1 to return list of multiplications of the factors.

This is using iterations, so put considerably small input to avoid browser crash. It should work fine with max 5 digits length (99,999) input. I didn't put actual limit in this.

If the input is negative, it will be converted into positive.

Examples:

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Usage: math.prime_check(the_number)

The the_number has to be greater than 1 and an integer.

Examples:

Demo with user interface on Port Raptor

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Usage: math.generate_prime(start_from, how_many)

The start_from has to be greater than 1 and an integer. how_many has to be larger than 0.

Examples:

Demo with user interface on Port Raptor

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Usage: math.pascal_triangle(which_line [or] how_many, flag)

The which_line [or] how_many has to be natural number (N*). flag can be 0 or 1.

PLEASE NOTE that this is using iteration, so, limit the input. I recommend around 20-ish. It will still work smoothly with that input range. Above that, the it'll "break" the browser.

Examples:

Credit for neat example www.ywhmaths.webs.com/Arithmetic/Pascal.html

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Usage: math.lcm(num_1, num_2[, num_3])

num_3 is optional. It can calculate 2 or 3 arguments.

Each input must be natural number (N*) (non-zero positive integer)

Examples:

Demo on Port Raptor

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Usage: math.gcf(num_1, num_2[, num_3])

num_3 is also optional. It can calculate 2 or 3 arguments.

Each input must be natural number (N*) (non-zero positive integer)

Examples:

Demo on Port Raptor

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If you need to get array from string output for your other additional functions, it can be done with:

the_array = the_string_output.split(", ");

This mostly uses join(", ") to convert the array into string output.

Except the pascal_triangle and factorof with flag 1. You can customize the join() part in those.

Grab the custom_math.js, you can compress it yourself.

Then:

<html>

    <head>

        <!--your head content-->

        <script>
            /* 
            \  *custom_math.js* goes here. It can be in HTML or external (synchronous with [script] tag).
            */
        </script>

    </head>

    <body>

        <!--your body content-->

        <p>
            So, blabla, something something, as such, we have the total ways of doing that, like:
            <!--For instance, this is the element to be injected with *combination* result-->
            <div id="something"></div>
        </p>

        <script>
            //this is the element with id *something*
            var your_element = document.getElementById("something");

            //invoking the *combination* function and injecting the result to that element:
            your_element.innerHTML = "Combination(5, 2) = " + math.combination(5, 2);
        </script>

    </body>

</html>

For loading the script from external storage (not placed in the HTML) and asynchronous, read these gists:

  1. Not recommended... Gist one: using script tag with async attribute and using timer to detect the readiness of the external script.

  2. Gist two: inject the script element via JS.

  3. Recommended Use the method used on the independent demo page (see page source) or look at the latest html file in the demo folder.