---
title: Rotation3DFloat
framework: spatial
role: symbol
role_heading: Structure
path: spatial/rotation3dfloat
---

# Rotation3DFloat

A single-precision structure that represents a rotation in three dimensions.

## Declaration

```swift
struct Rotation3DFloat
```

## Topics

### Operators

- [*(_:_:)](spatial/rotation3dfloat/*(_:_:)-2mmaj.md)
- [*(_:_:)](spatial/rotation3dfloat/*(_:_:)-30js8.md)
- [*(_:_:)](spatial/rotation3dfloat/*(_:_:)-99umr.md)
- [*=(_:_:)](spatial/rotation3dfloat/*=(_:_:).md)

### Initializers

- [init()](spatial/rotation3dfloat/init()-4vjiv.md)
- [init()](spatial/rotation3dfloat/init()-4y09q.md)
- [init(_:)](spatial/rotation3dfloat/init(_:)-140am.md)
- [init(_:)](spatial/rotation3dfloat/init(_:)-20sue.md)
- [init(_:)](spatial/rotation3dfloat/init(_:)-5vfv0.md)
- [init(_:)](spatial/rotation3dfloat/init(_:)-7mhwz.md)
- [init(angle:axis:)](spatial/rotation3dfloat/init(angle:axis:).md)
- [init(eulerAngles:)](spatial/rotation3dfloat/init(eulerangles:).md)
- [init(forward:)](spatial/rotation3dfloat/init(forward:).md)
- [init(forward:up:)](spatial/rotation3dfloat/init(forward:up:).md)
- [init(position:target:up:)](spatial/rotation3dfloat/init(position:target:up:).md)
- [init(quaternion:)](spatial/rotation3dfloat/init(quaternion:).md)

### Instance Properties

- [angle](spatial/rotation3dfloat/angle.md)
- [axis](spatial/rotation3dfloat/axis.md)
- [inverse](spatial/rotation3dfloat/inverse.md)
- [isIdentity](spatial/rotation3dfloat/isidentity.md)
- [quaternion](spatial/rotation3dfloat/quaternion.md)
- [vector](spatial/rotation3dfloat/vector.md)

### Instance Methods

- [eulerAngles(order:)](spatial/rotation3dfloat/eulerangles(order:).md)
- [isApproximatelyEqual(to:tolerance:)](spatial/rotation3dfloat/isapproximatelyequal(to:tolerance:).md)
- [swing(twistAxis:)](spatial/rotation3dfloat/swing(twistaxis:).md)
- [swingTwist(twistAxis:)](spatial/rotation3dfloat/swingtwist(twistaxis:).md)
- [twist(twistAxis:)](spatial/rotation3dfloat/twist(twistaxis:).md)

### Type Properties

- [identity](spatial/rotation3dfloat/identity.md)

### Type Methods

- [slerp(from:to:t:along:)](spatial/rotation3dfloat/slerp(from:to:t:along:).md)
- [spline(leftEndpoint:from:to:rightEndpoint:t:)](spatial/rotation3dfloat/spline(leftendpoint:from:to:rightendpoint:t:).md)

### Default Implementations

- [CustomReflectable Implementations](spatial/rotation3dfloat/customreflectable-implementations.md)
- [Decodable Implementations](spatial/rotation3dfloat/decodable-implementations.md)
- [Encodable Implementations](spatial/rotation3dfloat/encodable-implementations.md)
- [Equatable Implementations](spatial/rotation3dfloat/equatable-implementations.md)
- [Hashable Implementations](spatial/rotation3dfloat/hashable-implementations.md)
- [ProjectiveTransformable3DFloat Implementations](spatial/rotation3dfloat/projectivetransformable3dfloat-implementations.md)

## Relationships

### Conforms To

- [Copyable](swift/copyable.md)
- [CustomReflectable](swift/customreflectable.md)
- [CustomStringConvertible](swift/customstringconvertible.md)
- [Decodable](swift/decodable.md)
- [Encodable](swift/encodable.md)
- [Equatable](swift/equatable.md)
- [Escapable](swift/escapable.md)
- [Hashable](swift/hashable.md)
- [ProjectiveTransformable3D](spatial/projectivetransformable3d.md)
- [ProjectiveTransformable3DFloat](spatial/projectivetransformable3dfloat.md)
- [Rotatable3DProtocol](spatial/rotatable3dprotocol.md)
- [Sendable](swift/sendable.md)
- [SendableMetatype](swift/sendablemetatype.md)
- [SpatialTypeProtocol](spatial/spatialtypeprotocol.md)

## See Also

### 3D primitives

- [Point3D](spatial/point3d.md)
- [Point3DFloat](spatial/point3dfloat.md)
- [Size3D](spatial/size3d.md)
- [Size3DFloat](spatial/size3dfloat.md)
- [Rect3D](spatial/rect3d.md)
- [Rect3DFloat](spatial/rect3dfloat.md)
- [Rotation3D](spatial/rotation3d.md)
- [RotationAxis3D](spatial/rotationaxis3d.md)
- [RotationAxis3DFloat](spatial/rotationaxis3dfloat.md)
- [Pose3D](spatial/pose3d.md)
- [Pose3DFloat](spatial/pose3dfloat.md)
- [ScaledPose3D](spatial/scaledpose3d.md)
- [ScaledPose3DFloat](spatial/scaledpose3dfloat.md)
- [SphericalCoordinates3D](spatial/sphericalcoordinates3d.md)
- [SphericalCoordinates3DFloat](spatial/sphericalcoordinates3dfloat.md)