float3x2 structure

A 3x2 matrix, used for 2D transforms.

This matrix type uses a row vector layout. The x and y of this matrix's translation vector correspond to the fields m31, m32.

This type is available only in C++. Its .NET equivalent is System.Numerics.Matrix3x2.

Constructors

Name Description
float3x2() Creates an uninitialized float3x2.
float3x2(float m11, float m12, float m21, float m22, float m31, float m32) Creates a float3x2 with the specified values.
float3x2(Microsoft::?Graphics::?Canvas::?Numerics::?Matrix3x2 const& value) Converts a Microsoft.Graphics.Canvas.Numerics.Matrix3x2 to a float3x2.

Functions

Name Description
float3x2 make_float3x2_translation(float2 const& position) Creates a translation matrix.
float3x2 make_float3x2_translation(float xPosition, float yPosition) Creates a translation matrix.
float3x2 make_float3x2_scale(float xScale, float yScale) Creates a scaling matrix, centered on the origin.
float3x2 make_float3x2_scale(float xScale, float yScale, float2 const& centerPoint) Creates a scaling matrix, centered on the specified point.
float3x2 make_float3x2_scale(float2 const& scales) Creates a scaling matrix, centered on the origin.
float3x2 make_float3x2_scale(float2 const& scales, float2 const& centerPoint) Creates a scaling matrix, centered on the specified point.
float3x2 make_float3x2_scale(float scale) Creates a scaling matrix, centered on the origin.
float3x2 make_float3x2_scale(float scale, float2 const& centerPoint) Creates a scaling matrix, centered on the specified point.
float3x2 make_float3x2_skew(float radiansX, float radiansY) Creates a skew matrix, centered on the origin.
float3x2 make_float3x2_skew(float radiansX, float radiansY, float2 const& centerPoint) Creates a skew matrix, centered on the specified point.
float3x2 make_float3x2_rotation(float radians) Creates a rotation matrix, centered on the origin.
float3x2 make_float3x2_rotation(float radians, float2 const& centerPoint) Creates a rotation matrix, centered on the specified point.
bool is_identity(float3x2 const& value) Checks whether this is an identity matrix.
float determinant(float3x2 const& value) Calculates the determinant of the matrix.
float2 translation(float3x2 const& value) Gets the translation vector of the matrix.
bool invert(float3x2 const& matrix, _Out_ float3x2* result) Calculates the inverse of a matrix. Returns true if the matrix can be inverted; false otherwise.
float3x2 lerp(float3x2 const& matrix1, float3x2 const& matrix2, float amount) Linearly interpolates between the corresponding values of two matrices.

Methods

Name Description
static float3x2 identity() Returns an instance of the identity matrix.

Operators

Name Description
float3x2 operator+ (float3x2 const& value1, float3x2 const& value2) Adds each component of a matrix to another matrix.
float3x2 operator- (float3x2 const& value1, float3x2 const& value2) Subtracts each component of a matrix from another matrix.
float3x2 operator* (float3x2 const& value1, float3x2 const& value2) Multiplies a matrix by another matrix. This has the effect of concatenating two transforms.
float3x2 operator* (float3x2 const& value1, float value2) Multiplies each component of a matrix by a scalar value.
float3x2 operator- (float3x2 const& value) Negates each component of a matrix.
float3x2& operator+= (float3x2& value1, float3x2 const& value2) In-place adds each component of a matrix to another matrix.
float3x2& operator-= (float3x2& value1, float3x2 const& value2) In-place subtracts each component of a matrix from another matrix.
float3x2& operator*= (float3x2& value1, float3x2 const& value2) In-place multiplies a matrix by another matrix. This has the effect of concatenating two transforms.
float3x2& operator*= (float3x2& value1, float value2) In-place multiplies each component of a matrix by a scalar value.
bool operator== (float3x2 const& value1, float3x2 const& value2) Determines whether two instances of float3x2 are equal.
bool operator!= (float3x2 const& value1, float3x2 const& value2) Determines whether two instances of float3x2 are not equal.
operator Microsoft::?Graphics::?Canvas::?Numerics::?Matrix3x2() const Converts a float3x2 to a Microsoft.Graphics.Canvas.Numerics.Matrix3x2.

Fields

Name Description
float m11 Value at row 1 column 1 of the matrix.
float m12 Value at row 1 column 2 of the matrix.
float m21 Value at row 2 column 1 of the matrix.
float m22 Value at row 2 column 2 of the matrix.
float m31 Value at row 3 column 1 of the matrix.
float m32 Value at row 3 column 2 of the matrix.

Requirements

Requirement Value
Namespace Windows::Foundation::Numerics
Header
Windowsnumerics.h

See also

windowsnumerics.h APIs