<!--
{
  "availability" : [
    "macCatalyst: 13.0.0 -",
    "macOS: 10.0.0 -"
  ],
  "documentType" : "symbol",
  "framework" : "Foundation",
  "identifier" : "/documentation/Foundation/NSAffineTransformStruct",
  "metadataVersion" : "0.1.0",
  "role" : "Structure",
  "symbol" : {
    "kind" : "Structure",
    "modules" : [
      "Foundation"
    ],
    "preciseIdentifier" : "c:@SA@NSAffineTransformStruct"
  },
  "title" : "NSAffineTransformStruct"
}
-->

# NSAffineTransformStruct

A structure that defines the three-by-three matrix that performs an affine transform between two coordinate systems.

```
struct NSAffineTransformStruct
```

## Overview

For more details, see [Cocoa Drawing Guide](https://developer.apple.com/library/archive/documentation/Cocoa/Conceptual/CocoaDrawingGuide/Introduction/Introduction.html#//apple_ref/doc/uid/TP40003290).

## Topics

### Initializers

[`init()`](/documentation/Foundation/NSAffineTransformStruct/init())

Initializes a zero-filled transformation matrix.

[`init(m11:m12:m21:m22:tX:tY:)`](/documentation/Foundation/NSAffineTransformStruct/init(m11:m12:m21:m22:tX:tY:))

### Instance Properties

[`m11`](/documentation/Foundation/NSAffineTransformStruct/m11)

An element of the transform matrix that contributes scaling, rotation, and shear.

[`m12`](/documentation/Foundation/NSAffineTransformStruct/m12)

An element of the transform matrix that contributes scaling, rotation, and shear.

[`m21`](/documentation/Foundation/NSAffineTransformStruct/m21)

An element of the transform matrix that contributes scaling, rotation, and shear.

[`m22`](/documentation/Foundation/NSAffineTransformStruct/m22)

An element of the transform matrix that contributes scaling, rotation, and shear.

[`tX`](/documentation/Foundation/NSAffineTransformStruct/tX)

An element of the transform matrix that contributes translation.

[`tY`](/documentation/Foundation/NSAffineTransformStruct/tY)

An element of the transform matrix that contributes translation.

## Relationships

### Conforms To

[`BitwiseCopyable`](/documentation/Swift/BitwiseCopyable)

[`Sendable`](/documentation/Swift/Sendable)

[`SendableMetatype`](/documentation/Swift/SendableMetatype)

---

Copyright &copy; 2026 Apple Inc. All rights reserved. | [Terms of Use](https://www.apple.com/legal/internet-services/terms/site.html) | [Privacy Policy](https://www.apple.com/privacy/privacy-policy)