UnityGame/Library/PackageCache/com.unity.mathematics/Documentation~/getting-started.md

Getting started

To use Unity Mathematics, add using Unity.Mathematics to your code:

using static Unity.Mathematics.math;
namespace MyNamespace
{
    using Unity.Mathematics;
    
    ...
    var v1 = float3(1,2,3);
    var v2 = float3(4,5,6);
    v1 = normalize(v1);
    v2 = normalize(v2);
    var v3 = dot(v1, v2);
    ...
}

Naming convention

In C# int and float are built-in types. The Burst compiler extends this set of built-in types to also include vectors, matrices, and quaternions. These types are built-in because the Burst compiler already has implementations of these types, and so can use them to generate better code than for custom types.

To signify that these types are built-in their type names are in all lower case. The operators on these built-in types in Unity.Mathematics.math are intrinsics and are always in lower case.

There are no plans to extend the set of intrinsic types beyond the current set of vectors (typeN), matrices (typeNxN) and quaternions (quaternion).

This convention has the added benefit of making the library highly compatible with shader code and makes porting or sharing code between the two almost frictionless.