math.abs

math.acos

math.asin

Returns the arc tangent of `x` in radians.


math.atan

Returns the arc tangent of `y`/`x` (in radians) while using the signs of
both parameters to find the quadrant of the result. It also handles
correctly the case of `x` being zero.


math.atan2

Returns the arc tangent of `y`/`x` (in radians) while using the signs of
both parameters to find the quadrant of the result.


Returns the smallest integer larger than or equal to `x`.


math.ceil

Returns a number between `min` and `max`, inclusive.


math.clamp

Returns the cosine of `x`, assumed to be in radians.


math.cos

math.cosh

Returns the angle `x` (given in radians) in degrees.


math.deg

math.exp

Returns the largest integer smaller than or equal to `x`.


math.floor

Returns the remainder of the division of `x` by `y` that rounds the
quotient towards zero.


math.fmod

Returns `m` and `e` such that `x` = `m`\*`2`^`e`. `e` is an integer and
the absolute value of `m` is in the range of 0.5 to 1 (inclusive of 0.5
but exclusive of 1), or zero when `x` is zero.


math.frexp

Returns `m` and `e` such that `x` = `m`\*`2`^`e`.


Returns `x`\*`2`^`e` (`e` should be an integer).


math.ldexp

Returns the logarithm of `x` using the given base, or the mathematical
constant `e` if no base is provided (natural logarithm).


math.log

base

The base of the logarithm, the constant `e` by default.


Returns the logarithm of `x` using the given base.


math.log10

Returns the maximum value among the numbers passed to the function.


math.max

Returns the minimum value among the numbers passed to the function.


math.min

Returns two numbers: the integral part of `x` and the fractional part of
`x`.


math.modf

Returns a Perlin noise value. The returned value is most often between the
range of -1 to 1 (inclusive) but sometimes may be outside that range; if
the interval is critical to you, use `Library.math.clamp(noise, -1, 1)` on
the output.

If you leave arguments out, they will be interpreted as zero, so
`Library.math.noise(1.158)` is equivalent to
`Library.math.noise(1.158, 0, 0)` and `Library.math.noise(1.158, 5.723)`
is equivalent to `Library.math.noise(1.158, 5.723, 0)`.

Note that this function uses a Perlin noise algorithm to assign fixed
values to coordinates. For example, `Library.math.noise(1.158, 5.723)`
will always return `0.48397532105446` and `Library.math.noise(1.158, 6)`
will always return `0.15315161645412`.

If `x`, `y`, and `z` are all integers, the return value will be 0. For
fractional values of `x`, `y`, and `z`, the return value will gradually
fluctuate between -0.5 and 0.5. For coordinates that are close to each
other, the return values will also be close to each other.


math.noise

Returns `x`^`y` (you can also use the expression `x`^`y` to compute this
value).


math.pow

Returns the angle `x` (given in degrees) in radians.


math.rad

When called without arguments, returns a uniform pseudo-random real number
in the range of 0 to 1 (inclusive of 0 but exclusive of 1).

When called with an integer number `m`, returns a uniform pseudo-random
integer in the range of 1 to `m`, inclusive.

When called with two integer numbers `m` and `n`, returns a uniform
pseudo-random integer in the range of `m` to `n`, inclusive.

Internally, this uses a 32-bit PCG (Permuted Congruential Generator) which
achieves excellent statistical performance and makes its output hard to
predict.


math.random

Returns a random number within the range provided.


Sets `x` as the seed for the pseudo-random generator: equal seeds produce
equal sequences of numbers.


math.randomseed

Sets `x` as the seed for the pseudo-random generator.


Returns the integer with the smallest difference between it and the given
number. For example, the value 5.8 returns 6.

For values like 0.5 that are equidistant to two integers, the value with
the greater difference between it and zero is chosen. In other words, the
function "rounds away from zero" such that 0.5 rounds to 1 and -0.5 rounds
to -1.


math.round

Returns the integer with the smallest difference between it and the given
number.


Returns -1 if `x` is less than 0, 0 if `x` equals 0, or 1 if `x` is
greater than 0.


math.sign

Returns the sine of `x`, assumed to be in radians.


math.sin

math.sinh

Returns the square root of `x`. You can also use the expression `x`^`0.5`
to compute this value.


math.sqrt

Returns the tangent of `x`, assumed to be in radians.


math.tan

math.tanh

math

math.huge

math.pi

An object that runs connected functions upon a specific occurrence.

Data Type

RBXScriptSignal

A double-precision floating-point number.

Luau

number

void

Overview

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Cloud

This method is asynchronous and returns an `Operation`, which represents the current state of the operation. It contains an endpoint path that you can poll to obtain the real response and applicable metadata. See the [documentation]({longRunningOperationsLink}) on long-running operations for more information.
            
The following sections describe the response and metadata objects that are provided when an operation completes.

Beta endpoints are ready for public use. Breaking changes are possible but rare.

This field may be set when creating a resource, but may not be modified by subsequent requests.

This field may be provided in requests, but will never be included in responses.

Per API Key: {maxInPeriod} requests every {periodInSeconds} seconds per IP Address

This field may be set on responses, but will be ignored in requests.

The following API key permissions are required to call this endpoint. For more
information on generating proper keys, see [Managing API Keys]({apiKeyReferenceDocLink}).

The following endpoints are available at paths relative to the base URL.

This string is formatted as a [FieldMask](/cloud/reference/types#fieldmask).

A JSON value can be `null`, `boolean`, `string`, `number`, `array`, or `object`.

The following scopes are required for your OAuth 2.0 application to use this endpoint. For more information on how to register an OAuth 2.0 application, see [App Registration and Review]({oauth2ReferenceDocLink}).

The following objects describe payloads that are accepted or returned. See each individual endpoint for more information on when these objects are used.

This string is formatted as a [Timestamp](/cloud/reference/types#timestamp).

This allows viewing information about your assets.

This allows uploading and updating assets to Roblox.

Grants the ability to update badges owned by the user.

This allows viewing information about your commerce items.

This allows editing of your commerce merchant connections.

This allows you to view information about your Creator Store products.

This allows you to modify information about your Creator Store products.

This allows viewing information about your communities.

This allows you to manage community join requests and role updates for your account.

This allows viewing information about your inventory.

Grants access to mange your badges and spend robux.

Grants access to manage your developer products.

Grants access to read information about the experiences you follow.

Grants access to follow and unfollow experiences on your behalf.

Grants access to manage your communities.

Grants permission to read community information.

Grants access to read and write your localization tables

Grants access to manage team collaboration for all experiences you own.

Grants access to manage your experiences and certain information associated with your experiences (e.g. localization information).

Grants access to read your experiences' localization information.

Grants access to modify your experiences' localization preferences.

Grants access to manage your user account.

Grants access to modify user localization preferences.

This grants the ability to publish messages on behalf of users.

This allows sending notifications from your experience to users.

This allows listing secrets associated with your experience.

This allows creating and updating secrets associated with your experience.

Grants access to read about your subscription products.

Grants the ability to read place information.

Grants the ability to edit place information.

This operation grants access to publish new versions of experiences to Roblox.

Grants the ability to read experience information.

Grants the ability to edit experience information.

Allows you to view user restrictions in the experience.

Allows you to edit user restrictions in the experience.

Grants the ability to read user's premium and verified status.

This allows you to view a user's social accounts.

This enables Single Sign-On functionality.

This grants access to read your profile information.

Default Value: {defaultValueStart}{defaultValueEnd}

An array is an ordered list of values. Arrays are useful for storing collections of data.

A set of key-value pairs, where the keys can be any number, string, or object.

This function returns immediately if possible, but can yield the thread that called it until it can return a value.

{nameStart}name{nameEnd} is no longer supported or maintained by Roblox.

This math operation is no longer supported or maintained by Roblox.

This member doesn’t appear in the object browser and is not intended for widespread use.

This member is only accessible only through the command bar. Attempting to access this member from scripts causes an error.

This function can’t pause the Lua thread that called it.

Attempting to access this member in scripts causes an error. You might be able to access this member from Roblox Studio's property window.

This member doesn’t appear in Roblox Studio’s Object Browser.

You can’t create an instance of this class with the Instance.new constructor.

Roblox does not replicate this member across its server-client boundary.

Lua code can’t access this member. You might be able to change its value from the property window in Roblox Studio.

This member is accessible from OpenCloud Luau execution tasks.

This object’s replication behavior is dependent on the player who owns it.

This member is accessible through the command bar and plugins. Attempting to access this member from scripts causes an error.

This member is read only. Attempting to write to this member causes an error.

This property is read-only and is safe to read in unsynchronized threads. Attempting to write to it causes an error.

This member is accessible only in CoreScripts.

Only Roblox CoreScripts can access this member, and it isn’t usable by Players.

You can read and write to this property safely from multiple threads.

This class is a top-level singleton. Retrieve an instance of this class with the GetService function.

Multiple threads can potentially write to this property, so it’s unsafe to read from unsynchronized threads.

This function pauses the Lua thread that called it until it returns a result. This doesn’t interrupt other scripts.

Manage and analyze all your experiences in one convenient place.

Learn with documentation and resources for all creators.

Learn how to create Roblox experiences with guides, tutorials, and code samples.

Build your experiences in Studio, our all-in-one IDE, and deploy to a wide variety of devices.

Dependable ways to offer value over time to your audience

Learn how to create successful ads that drive traffic to your creations

Chart your experience's growth and discover opportunities to improve

Learn how to apply movement to your characters and environments

Learn how to upload or use assets from Store in your creations

Create Avatar items and publish it to Marketplace

Sorted by highest revenue over the last 7 days

Learn about what you can make and sell on the marketplace

The avatar represents every Roblox user as a customizable character

See this thread of cool creations being built by the community

Learn basic modeling techniques in blender

Find models, scripts, and plugins made by other creators

Learn how to configure characters to ensure all avatar features work properly

Learn how to create objects that interact with the world or other users

Make and sell your first basic clothing item on Roblox

Use Studio's collaboration tools to work with your team at the same time

Check out what’s trending on the Creator Marketplace

Check out what's trending on the Creator Store

Participate in community events held by other Creators

Find tutorials written by the Creator community

Keep players engaged and monetized with content updates

Captivate your audience with an enjoyable gameplay cycle

Drive engagement and progress with fun, repetitive gameplay

Learn how to create a sliding door without writing any code

Alex shares first-hand experience behind creating the hit experience, JailBreak

Blake found a passion in making realistic, quirky carnival games

The Clemens are the family-owned studio behind hits like The Survival Game

Jasmine is the artist behind some of the most popular avatar items on Marketplace

Jessica is the designer behind imaginative environments like in Alo Yoga

Jenni is the UGC creator and artist behind many popular collaborations

Morphist’s unique style combines cutesy and emo aesthetics

The Riotfall creators travel to find inspiration for their immersive environments

Stephen shares their love of programming tools

Sam shares how they got started designing fashion items that they wish existed

All objects that make up a 3D world, such as parts and lighting

Learn about the range of debugging tools available in Studio

See your progress towards your next cash out!

Use the developer console to debug your experience when testing

Adding subscriptions to your experience helps build long term relationships with your user base. Enable subscriptions before December 15, 2023, and enjoy 3 months of lower rates.

Look at the top Experiences out to get inspiration

Get started with Studio, Roblox’s creation engine

Add a few lines of code to unlock new dashboards to understand your onboarding and other funnels and track your in-game economy.

Build live, cross-server events and cutscenes on a structured sequence

Learn how to create timed events for your experiences

Create time-based events for increased discoverability across Roblox. Announce your latest update, highlight an activity, or celebrate a milestone with your players!

Learn about how to target the age group right for your Creation through Experienced Guidelines

Gain knowledge and expertise directly from Roblox

Learn how to implement a friend invite reward system

Understand the basics of how to create a game

Learn how you can control how your data is used to train AI. {linkStart}Read More{linkEnd}

Easily create custom textures using our AI tools

Use our all-in-one creation engine to build anything you can imagine

PolarCub shares all the tips tricks to make UGC items

Leverage Guilded to build a community for your Creation

Join our incredible cast of creators for a Halloween game jam

Use the head part to create facial animations or trigger emotes

Using metrics to understand where you can improve your gameplay

Figure out how to keep them coming back to your game

User input allow users to interact with your experience environment

Guide players through their first time playing your experience

Create clothing that stretchs and fit over any avatar body

At Roblox, we believe you learn best by doing. Choose one of our guides to explore more of what the platform offers.

Get help writing code and answers to your creation questions

The Lighting and SoundService let you control environmental effects

Learn how to adapt your content to different languages and cultural norms

This walkthrough covers attachments, beams, and some basic scripting concepts that shows you how to set player health to 0 if they touch something

Cultivating an active player base is an instrumental part of developing a successful and enduring game.

Get started with the performance optimization and troubleshooting tool

Microprofiler provides timing information for the task scheduler

Dive deep into frame colors, flame graphs, and more

Understand how to use metrics to be more successful

Improve the performance of computationally intensive Luau scripts

View your daily benchmarks, insights, and real-time metrics to take {boldStart}{experienceName}{boldEnd} to the next level.

Learn how to use NPCs (non-player characters) in your experiences

@minty creates an obby live from scratch using suggestions from chat

Our platform provides you with unparalleled opportunities to create. Get started by exploring the Creator Hub, Roblox Studio, and our vibrant Creator community.

Our platform provides you with unparalleled opportunities to create.

Our community of award-winning studios and self-taught creators all started here, just like you. 

A principal environment artist at Roblox covers how and why to use packages

Staff stream about gravity, material properties, and constraints

Learn about what happens when a user joins an experience

Plugins add additional features or functionality to your creations

Let's tour PolarCub's UGC Homestore! Also, Temprist shows up.

Learn how to drive traffic and awareness to your creations

Catch up on all the highlights from this year's RDC

Learn about what’s possible with our creation engine

Learn hwo to rig an R15 humanoid character model

Make and sell your first basic rigid accessory on Roblox

Get a preview of some of the new features and capabilities coming soon to Roblox

Studio is the tool that lets you create experiences on Roblox

Learn how to use the script editor in Studio to create custom scripts

Scripting lets you add immersive interactions for your users

Learn Studio shortcuts and key commands that make building quicker

Learn how to integrate features that allow players to play with friends

Create a Sponsored Ad to get your Creation in front of more Creators

Studio is an all-in-one tool for building on Roblox. Try making something today!

Learn how to offer players recurring benefits for a monthly fee

Grow your experience with the help of other Creators

Use the terrain editor to generate and alter terrain in Studio

Experiences like {boldStart}{experienceName}{boldEnd} saw an average +8.5% lift in qualified play through rate with personalization.

Translations can help your Creation reach tons of different audiences

Tour the new UGC Homestore template with Minty and SCHLEEMPH

Learn about how to build for Roblox's unique audience

What are they and how you can use them to build

Watch a quick introduction to creating on Roblox, then jump into Studio

Read the latest announcements from Roblox Staff

Manage and grow your creations all in one convenient place

Workspace holds objects that you want the engine to render in your project

Staff stream covering parts, meshes, terrain, and lighting

math

Summary

Functions

Properties

Functions

abs

Parameters

Returns

acos

Parameters

Returns

asin

Parameters

Returns

atan

Parameters

Returns

atan2

Parameters

Returns

ceil

Parameters

Returns

clamp

Parameters

Returns

cos

Parameters

Returns

cosh

Parameters

Returns

deg

Parameters

Returns

exp

Parameters

Returns

floor

Parameters

Returns

fmod

Parameters

Returns

frexp

Parameters

Returns

ldexp

Parameters

Returns

log

Parameters

Returns

log10

Parameters

Returns

max

Parameters

Returns

min

Parameters

Returns

modf

Parameters

Returns

noise

Parameters

Returns

pow

Parameters

Returns

rad

Parameters

Returns

random

Parameters

Returns

randomseed

Parameters

Returns