> For the complete documentation index, see [llms.txt](https://math-5.gitbook.io/math/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://math-5.gitbook.io/math/reference/mathematical-operations.md).

# Mathematical operations

maTH library  started as a library of mathematical operations made from scratch. Here's a list of all operations the library supports:

<table data-full-width="true"><thead><tr><th>Function</th><th>Description</th><th data-type="content-ref">Source</th></tr></thead><tbody><tr><td><code>int factorial(int n)</code></td><td>Find the factorial of n</td><td><a href="/pages/vnPUjbDcXixKFpH9oQE8">/pages/vnPUjbDcXixKFpH9oQE8</a></td></tr><tr><td><code>long long factorialL(int n)</code></td><td>Find the factorial of n</td><td><a href="/pages/qvCVfEkP93pSbYCWwgeE">/pages/qvCVfEkP93pSbYCWwgeE</a></td></tr><tr><td><code>std::vector&#x3C;int> pascal(int n)</code></td><td>Return the nth row of pascal triangle</td><td><a href="/pages/6bMoOeZiKTFcYXjXItWy">/pages/6bMoOeZiKTFcYXjXItWy</a></td></tr><tr><td><code>int combinations(int n, int k)</code></td><td>How many unique combinations are there with a population of n, whilst selecting k items. </td><td><a href="/pages/JuYT2w2FRvroa4sYprHy">/pages/JuYT2w2FRvroa4sYprHy</a></td></tr><tr><td><code>int combinationsWithRep(int n, int k)</code></td><td>How many combinations are there with a population of n, whilst selecting k items (items have repetition). </td><td><a href="/pages/OcsdnaEF3wTlBvMhjeIE">/pages/OcsdnaEF3wTlBvMhjeIE</a></td></tr><tr><td><code>int permutations(int n, int k)</code></td><td>Permutate k items in population size n. </td><td><a href="/pages/J4FR8QApkJN4ugqDR7yq">/pages/J4FR8QApkJN4ugqDR7yq</a></td></tr><tr><td><code>int pow(int a, int n)</code></td><td>Raise a to the power of n</td><td><a href="/pages/Bf6MPvG0uf92W9x98r7k">/pages/Bf6MPvG0uf92W9x98r7k</a></td></tr><tr><td><code>double pow(double a, int n)</code></td><td>Raise a to the power of n</td><td><a href="/pages/Bf6MPvG0uf92W9x98r7k">/pages/Bf6MPvG0uf92W9x98r7k</a></td></tr><tr><td><code>double pow(int a, double n)</code></td><td>Raise a to the power of n</td><td><a href="/pages/Bf6MPvG0uf92W9x98r7k">/pages/Bf6MPvG0uf92W9x98r7k</a></td></tr><tr><td><code>double pow(double a, double n)</code></td><td>Raise a to the power of n</td><td><a href="/pages/Bf6MPvG0uf92W9x98r7k">/pages/Bf6MPvG0uf92W9x98r7k</a></td></tr><tr><td><code>int GCD(int a, int b)</code></td><td>Find GCD of two numbers</td><td><a href="/pages/1e2dopEoUxuWKtcrw8kX">/pages/1e2dopEoUxuWKtcrw8kX</a></td></tr><tr><td><code>int LCM(int a, int b)</code></td><td>Find LCM of two numbers</td><td><a href="/pages/JI1GpoRZF75fvxhbYMpQ">/pages/JI1GpoRZF75fvxhbYMpQ</a></td></tr><tr><td><code>add&#x3C;return_type>(a, b)</code></td><td>Add two numbers</td><td><a href="/pages/LrUg5guY6pnS2D38i7Ll">/pages/LrUg5guY6pnS2D38i7Ll</a></td></tr><tr><td><code>subtract&#x3C;return_type>(a, b)</code></td><td>Subtract two numbers</td><td><a href="/pages/icARg9XsxCepwDtX95IZ">/pages/icARg9XsxCepwDtX95IZ</a></td></tr><tr><td><code>multiply&#x3C;return_type>(a, b)</code></td><td>Multiply two numbers</td><td><a href="/pages/oMnWhrKxvVAbXCQfGRr3">/pages/oMnWhrKxvVAbXCQfGRr3</a></td></tr><tr><td><code>divide&#x3C;return_type>(a, b)</code></td><td>Divide two numbers</td><td><a href="/pages/Cuk3GyxxypqXss2USbeh">/pages/Cuk3GyxxypqXss2USbeh</a></td></tr><tr><td><code>sin(x)</code></td><td>Compute sine</td><td><a href="/pages/TDxrsMj5BRcqF6fJlsQD">/pages/TDxrsMj5BRcqF6fJlsQD</a></td></tr><tr><td><code>cos(x)</code></td><td>Compute cosine</td><td><a href="/pages/sTmQJLUYQcKYfa2mgjem">/pages/sTmQJLUYQcKYfa2mgjem</a></td></tr><tr><td><code>ln&#x3C;return_type>(x)</code></td><td>Find the natural logarithm of a number</td><td><a href="/pages/SZjB8OoJBK6KBtPiCRNW">/pages/SZjB8OoJBK6KBtPiCRNW</a></td></tr><tr><td><code>log&#x3C;return_type>(base, argument)</code></td><td>Find the logarithm of argument with a given base</td><td><a href="/pages/x8cqky3FdoXICHAQ9cRN">/pages/x8cqky3FdoXICHAQ9cRN</a></td></tr><tr><td><code>radToDeg&#x3C;return_type>(rad)</code></td><td>Convert radians to degrees</td><td><a href="/pages/3cAVP5uBtYDHiUrCPIcf">/pages/3cAVP5uBtYDHiUrCPIcf</a></td></tr><tr><td><code>degToRad&#x3C;return_type>(deg)</code></td><td>Convert degrees to radians</td><td><a href="/pages/rfb5HDITUM9avw6zHa8R">/pages/rfb5HDITUM9avw6zHa8R</a></td></tr><tr><td><code>mod&#x3C;return_type>(dividend, divisor)</code></td><td>Remainder of a quotient</td><td><a href="/pages/moTJ22MajpxHXZJDiff8">/pages/moTJ22MajpxHXZJDiff8</a></td></tr><tr><td><code>abs&#x3C;return_type>(val)</code></td><td>Absolute value of number</td><td><a href="/pages/4Do0Utn5aU0H6X7XhPs4">/pages/4Do0Utn5aU0H6X7XhPs4</a></td></tr><tr><td><code>int floor(x)</code></td><td>Round value down</td><td><a href="/pages/oZFMDNy9HcN7x4G902dR">/pages/oZFMDNy9HcN7x4G902dR</a></td></tr><tr><td><code>int ceil(x)</code></td><td>Round value up</td><td><a href="/pages/kKv5vqTBOdaGB25r0uPX">/pages/kKv5vqTBOdaGB25r0uPX</a></td></tr><tr><td><code>root&#x3C;return_type>(n, a)</code></td><td>Find the nth root of a number</td><td><a href="/pages/ZP5JI93a6AVBUZOeDWzd">/pages/ZP5JI93a6AVBUZOeDWzd</a></td></tr><tr><td><code>exp&#x3C;return_type>(x)</code></td><td>Exponential function</td><td><a href="/pages/ClnNrHzCcXObOenskBW0">/pages/ClnNrHzCcXObOenskBW0</a></td></tr><tr><td><code>tan(x)</code></td><td>Compute tangent</td><td><a href="/pages/otGDd0womqgJTm9flpIe">/pages/otGDd0womqgJTm9flpIe</a></td></tr><tr><td><code>arcsin(x)</code></td><td>Compute arcsine</td><td><a href="/pages/wzybz9JV3c1m3kAHXwzK">/pages/wzybz9JV3c1m3kAHXwzK</a></td></tr><tr><td><code>arccos(x)</code></td><td>Compute arccosine</td><td><a href="/pages/Uie2If9WgSW3ax86P1XE">/pages/Uie2If9WgSW3ax86P1XE</a></td></tr><tr><td><code>arctan(x)</code></td><td>Compute arctangent</td><td><a href="/pages/ZlsWu2DBn19ytvGfu8Q9">/pages/ZlsWu2DBn19ytvGfu8Q9</a></td></tr><tr><td><code>sinh(x)</code></td><td>Compute hyberbolic sine</td><td><a href="/pages/VA3CVS0UEIT9YyMWyazY">/pages/VA3CVS0UEIT9YyMWyazY</a></td></tr><tr><td><code>cosh(x)</code></td><td>Compute hyperbolic cosine</td><td><a href="/pages/3bceTGNBQSQrkGXmj1fK">/pages/3bceTGNBQSQrkGXmj1fK</a></td></tr><tr><td><code>int round(x)</code></td><td>Rounds a number up/down</td><td><a href="/pages/jwVEo7RhTjESAxqYXkla">/pages/jwVEo7RhTjESAxqYXkla</a></td></tr></tbody></table>

{% hint style="info" %}
If the argument data type is defined, eg. `int round(x)`, it means x can be whatever data type. func\_name\<return\_type> specifies, that you can specifically say, in which data type you want your result to be in.&#x20;
{% endhint %}