float3x3
A 3x3 matrix of floats.
Read time 6 minutesLast updated 4 days ago
Definition
- Type: Struct
- Namespace: Unity.Mathematics
- Assembly: UnityEngine.MathematicsModule
- Implements: IEquatable<float3x3>, IFormattable
public struct float3x3 : IEquatable<float3x3>, IFormattable
Fields
Static Fields
Constructors
Constructor | Description |
|---|---|
| float3x3(System.Boolean) | Constructs a float3x3 matrix from a single bool value by converting it to float and assigning it to every component. |
| float3x3(System.Double) | Constructs a float3x3 matrix from a single double value by converting it to float and assigning it to every component. |
| float3x3(System.Int32) | Constructs a float3x3 matrix from a single int value by converting it to float and assigning it to every component. |
| float3x3(System.Single) | Constructs a float3x3 matrix from a single float value by assigning it to every component. |
| float3x3(System.Single,System.Single,System.Single,System.Single,System.Single,System.Single,System.Single,System.Single,System.Single) | Constructs a float3x3 matrix from 9 float values given in row-major order. |
| float3x3(System.UInt32) | Constructs a float3x3 matrix from a single uint value by converting it to float and assigning it to every component. |
| float3x3(Unity.Mathematics.bool3x3) | Constructs a float3x3 matrix from a bool3x3 matrix by componentwise conversion. |
| float3x3(Unity.Mathematics.double3x3) | Constructs a float3x3 matrix from a double3x3 matrix by componentwise conversion. |
| float3x3(Unity.Mathematics.float3,Unity.Mathematics.float3,Unity.Mathematics.float3) | Constructs a float3x3 matrix from three float3 vectors. |
| float3x3(Unity.Mathematics.float4x4) | Constructs a float3x3 from the upper left 3x3 of a float4x4. |
| float3x3(Unity.Mathematics.int3x3) | Constructs a float3x3 matrix from a int3x3 matrix by componentwise conversion. |
| float3x3(Unity.Mathematics.quaternion) | Constructs a float3x3 matrix from a unit quaternion. |
| float3x3(Unity.Mathematics.uint3x3) | Constructs a float3x3 matrix from a uint3x3 matrix by componentwise conversion. |
Properties
Property | Description |
|---|---|
| this[] | Returns the float3 element at a specified index. |
Methods
Method | Description |
|---|---|
| Equals | Returns true if the float3x3 is equal to a given float3x3, false otherwise. |
| GetHashCode | Returns a hash code for the float3x3. |
| ToString | Returns a string representation of the float3x3. |
Static Methods
Method | Description |
|---|---|
| AxisAngle | Returns a float3x3 matrix representing a rotation around a unit axis by an angle in radians. The rotation direction is clockwise when looking along the rotation axis towards the origin. |
| Euler | Returns a float3x3 rotation matrix constructed by first performing 3 rotations around the principal axes in a given order. All rotation angles are in radians and clockwise when looking along the rotation axis towards the origin. When the rotation order is known at compile time, it is recommended for performance reasons to use specific Euler rotation constructors such as EulerZXY(...). |
| EulerXYZ | Returns a float3x3 rotation matrix constructed by first performing a rotation around the x-axis, then the y-axis and finally the z-axis. All rotation angles are in radians and clockwise when looking along the rotation axis towards the origin. |
| EulerXZY | Returns a float3x3 rotation matrix constructed by first performing a rotation around the x-axis, then the z-axis and finally the y-axis. All rotation angles are in radians and clockwise when looking along the rotation axis towards the origin. |
| EulerYXZ | Returns a float3x3 rotation matrix constructed by first performing a rotation around the y-axis, then the x-axis and finally the z-axis. All rotation angles are in radians and clockwise when looking along the rotation axis towards the origin. |
| EulerYZX | Returns a float3x3 rotation matrix constructed by first performing a rotation around the y-axis, then the z-axis and finally the x-axis. All rotation angles are in radians and clockwise when looking along the rotation axis towards the origin. |
| EulerZXY | Returns a float3x3 rotation matrix constructed by first performing a rotation around the z-axis, then the x-axis and finally the y-axis. All rotation angles are in radians and clockwise when looking along the rotation axis towards the origin. This is the default order rotation order in Unity. |
| EulerZYX | Returns a float3x3 rotation matrix constructed by first performing a rotation around the z-axis, then the y-axis and finally the x-axis. All rotation angles are in radians and clockwise when looking along the rotation axis towards the origin. |
| LookRotation | Returns a float3x3 view rotation matrix given a unit length forward vector and a unit length up vector. The two input vectors are assumed to be unit length and not collinear. If these assumptions are not met use float3x3.LookRotationSafe instead. |
| LookRotationSafe | Returns a float3x3 view rotation matrix given a forward vector and an up vector. The two input vectors are not assumed to be unit length. If the magnitude of either of the vectors is so extreme that the calculation cannot be carried out reliably or the vectors are collinear, the identity will be returned instead. |
| RotateX | Returns a float3x3 matrix that rotates around the x-axis by a given number of radians. |
| RotateY | Returns a float3x3 matrix that rotates around the y-axis by a given number of radians. |
| RotateZ | Returns a float3x3 matrix that rotates around the z-axis by a given number of radians. |
| Scale | Returns a float3x3 matrix representing a uniform scaling of all axes by s. |
Operators
Operator | Description |
|---|---|
| operator + | Returns the result of a componentwise addition operation on a float value and a float3x3 matrix. |
| operator -- | Returns the result of a componentwise decrement operation on a float3x3 matrix. |
| operator / | Returns the result of a componentwise division operation on a float value and a float3x3 matrix. |
| operator == | Returns the result of a componentwise equality operation on a float value and a float3x3 matrix. |
| float3x3 | Explicitly converts a single bool value to a float3x3 matrix by converting it to float and assigning it to every component. |
| operator > | Returns the result of a componentwise greater than operation on a float value and a float3x3 matrix. |
| operator >= | Returns the result of a componentwise greater or equal operation on a float value and a float3x3 matrix. |
| operator ++ | Returns the result of a componentwise increment operation on a float3x3 matrix. |
| operator != | Returns the result of a componentwise not equal operation on a float value and a float3x3 matrix. |
| operator < | Returns the result of a componentwise less than operation on a float value and a float3x3 matrix. |
| operator <= | Returns the result of a componentwise less or equal operation on a float value and a float3x3 matrix. |
| operator % | Returns the result of a componentwise modulus operation on a float value and a float3x3 matrix. |
| operator * | Returns the result of a componentwise multiplication operation on a float value and a float3x3 matrix. |
| operator - | Returns the result of a componentwise subtraction operation on a float value and a float3x3 matrix. |