Matrix4X4

StockSharp.Xaml.Charting.Rendering.HighQualityRasterizer.Agg.VectorMath

Represents a 4x4 Matrix with double-precision components.

コンストラクター

Matrix4X4(Vector4, Vector4, Vector4, Vector4)

Constructs a new instance.

row0: Top row of the matrix
row1: Second row of the matrix
row2: Third row of the matrix
row3: Bottom row of the matrix

Matrix4X4(double, double, double, double, double, double, double, double, double, double, double, double, double, double, double, double)

Constructs a new instance.

m00: First item of the first row.
m01: Second item of the first row.
m02: Third item of the first row.
m03: Fourth item of the first row.
m10: First item of the second row.
m11: Second item of the second row.
m12: Third item of the second row.
m13: Fourth item of the second row.
m20: First item of the third row.
m21: Second item of the third row.
m22: Third item of the third row.
m23: First item of the third row.
m30: Fourth item of the fourth row.
m31: Second item of the fourth row.
m32: Third item of the fourth row.
m33: Fourth item of the fourth row.

プロパティ

Column0 : Vector4

The first column of this matrix

Column1 : Vector4

The second column of this matrix

Column2 : Vector4

The third column of this matrix

Column3 : Vector4

The fourth column of this matrix

Determinant : double

The determinant of this matrix

M11 : double

Gets or sets the value at row 1, column 1 of this instance.

M12 : double

Gets or sets the value at row 1, column 2 of this instance.

M13 : double

Gets or sets the value at row 1, column 3 of this instance.

M14 : double

Gets or sets the value at row 1, column 4 of this instance.

M21 : double

Gets or sets the value at row 2, column 1 of this instance.

M22 : double

Gets or sets the value at row 2, column 2 of this instance.

M23 : double

Gets or sets the value at row 2, column 3 of this instance.

M24 : double

Gets or sets the value at row 2, column 4 of this instance.

M31 : double

Gets or sets the value at row 3, column 1 of this instance.

M32 : double

Gets or sets the value at row 3, column 2 of this instance.

M33 : double

Gets or sets the value at row 3, column 3 of this instance.

M34 : double

Gets or sets the value at row 3, column 4 of this instance.

M41 : double

Gets or sets the value at row 4, column 1 of this instance.

M42 : double

Gets or sets the value at row 4, column 2 of this instance.

M43 : double

Gets or sets the value at row 4, column 3 of this instance.

M44 : double

Gets or sets the value at row 4, column 4 of this instance.

Position : Vector3

Get just the position out of the matrix.

メソッド

CreateFromAxisAngle(Vector3, double, Matrix4X4)

Build a rotation matrix from the specified axis/angle rotation.

axis: The axis to rotate about.
angle: Angle in radians to rotate counter-clockwise (looking in the direction of the given axis).
result: A matrix instance.

CreateFromAxisAngle(Vector3, double) : Matrix4X4

Build a rotation matrix from the specified axis/angle rotation.

axis: The axis to rotate about.
angle: Angle in radians to rotate counter-clockwise (looking in the direction of the given axis).

戻り値: A matrix instance.

CreateOrthographic(double, double, double, double, Matrix4X4)

Creates an orthographic projection matrix.

width: The width of the projection volume.
height: The height of the projection volume.
zNear: The near edge of the projection volume.
zFar: The far edge of the projection volume.
result: The resulting Matrix4d instance.

CreateOrthographic(double, double, double, double) : Matrix4X4

Creates an orthographic projection matrix.

width: The width of the projection volume.
height: The height of the projection volume.
zNear: The near edge of the projection volume.
zFar: The far edge of the projection volume.

CreateOrthographicOffCenter(double, double, double, double, double, double) : Matrix4X4

Creates an orthographic projection matrix.

left: The left edge of the projection volume.
right: The right edge of the projection volume.
bottom: The bottom edge of the projection volume.
top: The top edge of the projection volume.
zNear: The near edge of the projection volume.
zFar: The far edge of the projection volume.

戻り値: The resulting Matrix4d instance.

CreateOrthographicOffCenter(double, double, double, double, double, double, Matrix4X4)

Creates an orthographic projection matrix.

left: The left edge of the projection volume.
right: The right edge of the projection volume.
bottom: The bottom edge of the projection volume.
top: The top edge of the projection volume.
zNear: The near edge of the projection volume.
zFar: The far edge of the projection volume.
result: The resulting Matrix4d instance.

CreatePerspectiveFieldOfView(double, double, double, double, Matrix4X4)

Creates a perspective projection matrix.

fovYRadians: Angle of the field of view in the y direction (in radians)
aspectWidthOverHeight: Aspect ratio of the view (width / height)
zNear: Distance to the near clip plane
zFar: Distance to the far clip plane
result: A projection matrix that transforms camera space to raster space

CreatePerspectiveFieldOfView(double, double, double, double) : Matrix4X4

Creates a perspective projection matrix.

fovYRadians: Angle of the field of view in the y direction (in radians)
aspectWidthOverHeight: Aspect ratio of the view (width / height)
zNear: Distance to the near clip plane
zFar: Distance to the far clip plane

戻り値: A projection matrix that transforms camera space to raster space

CreatePerspectiveOffCenter(double, double, double, double, double, double, Matrix4X4)

Creates an perspective projection matrix.

left: Left edge of the view frustum
right: Right edge of the view frustum
bottom: Bottom edge of the view frustum
top: Top edge of the view frustum
zNear: Distance to the near clip plane
zFar: Distance to the far clip plane
result: A projection matrix that transforms camera space to raster space

CreatePerspectiveOffCenter(double, double, double, double, double, double) : Matrix4X4

Creates an perspective projection matrix.

left: Left edge of the view frustum
right: Right edge of the view frustum
bottom: Bottom edge of the view frustum
top: Top edge of the view frustum
zNear: Distance to the near clip plane
zFar: Distance to the far clip plane

戻り値: A projection matrix that transforms camera space to raster space

CreateRotation(Vector3, double) : Matrix4X4

Build a rotation matrix to rotate about the given axis

axis: the axis to rotate about
angle: angle in radians to rotate counter-clockwise (looking in the direction of the given axis)

戻り値: A rotation matrix

CreateRotation(Quaternion) : Matrix4X4

Build a rotation matrix from a quaternion

q: the quaternion

戻り値: A rotation matrix

CreateRotationX(double, Matrix4X4)

Builds a rotation matrix for a rotation around the x-axis.

angle: The counter-clockwise angle in radians.
result: The resulting Matrix4 instance.

CreateRotationX(double) : Matrix4X4

Builds a rotation matrix for a rotation around the x-axis.

angle: The counter-clockwise angle in radians.

戻り値: The resulting Matrix4 instance.

CreateRotationY(double) : Matrix4X4

Builds a rotation matrix for a rotation around the y-axis.

angle: The counter-clockwise angle in radians.

戻り値: The resulting Matrix4 instance.

CreateRotationY(double, Matrix4X4)

Builds a rotation matrix for a rotation around the y-axis.

angle: The counter-clockwise angle in radians.
result: The resulting Matrix4 instance.

CreateRotationZ(double) : Matrix4X4

Builds a rotation matrix for a rotation around the z-axis.

angle: The counter-clockwise angle in radians.

戻り値: The resulting Matrix4 instance.

CreateRotationZ(double, Matrix4X4)

Builds a rotation matrix for a rotation around the z-axis.

angle: The counter-clockwise angle in radians.
result: The resulting Matrix4 instance.

CreateScale(double, double, double) : Matrix4X4

Build a scaling matrix

x: Scale factor for x-axis
y: Scale factor for y-axis
z: Scale factor for z-axis

戻り値: A scaling matrix

CreateScale(Vector3) : Matrix4X4

Build a scaling matrix

scale: Scale factors for x,y and z axes

戻り値: A scaling matrix

CreateScale(double) : Matrix4X4

Build a scaling matrix

scale: Single scale factor for x,y and z axes

戻り値: A scaling matrix

CreateTranslation(double, double, double, Matrix4X4)

Creates a translation matrix.

x: X translation.
y: Y translation.
z: Z translation.
result: The resulting Matrix4d instance.

CreateTranslation(double, double, double) : Matrix4X4

Creates a translation matrix.

x: X translation.
y: Y translation.
z: Z translation.

戻り値: The resulting Matrix4d instance.

CreateTranslation(Vector3) : Matrix4X4

Creates a translation matrix.

vector: The translation vector.

戻り値: The resulting Matrix4d instance.

CreateTranslation(Vector3, Matrix4X4)

Creates a translation matrix.

vector: The translation vector.
result: The resulting Matrix4d instance.

Equals(object) : bool

Indicates whether this instance and a specified object are equal.

obj: The object to compare to.

戻り値: True if the instances are equal; false otherwise.

Equals(Matrix4X4) : bool

Indicates whether the current matrix is equal to another matrix.

other: An matrix to compare with this matrix.

戻り値: true if the current matrix is equal to the matrix parameter; otherwise, false.

Frustum(double, double, double, double, double, double) : Matrix4X4

Build a projection matrix

left: Left edge of the view frustum
right: Right edge of the view frustum
bottom: Bottom edge of the view frustum
top: Top edge of the view frustum
near: Distance to the near clip plane
far: Distance to the far clip plane

戻り値: A projection matrix that transforms camera space to raster space

GetHashCode() : int

Returns the hashcode for this instance.

戻り値: A System.Int32 containing the unique hashcode for this instance.

Invert()

Converts this instance into its inverse.

Invert(Matrix4X4) : Matrix4X4

Calculate the inverse of the given matrix

mat: The matrix to invert

戻り値: The inverse of the given matrix if it has one, or the input if it is singular

LookAt(double, double, double, double, double, double, double, double, double) : Matrix4X4

Build a world space to camera space matrix

eyeX: Eye (camera) position in world space
eyeY: Eye (camera) position in world space
eyeZ: Eye (camera) position in world space
targetX: Target position in world space
targetY: Target position in world space
targetZ: Target position in world space
upX: Up vector in world space (should not be parallel to the camera direction, that is target - eye)
upY: Up vector in world space (should not be parallel to the camera direction, that is target - eye)
upZ: Up vector in world space (should not be parallel to the camera direction, that is target - eye)

戻り値: A Matrix4 that transforms world space to camera space

LookAt(Vector3, Vector3, Vector3) : Matrix4X4

Build a world space to camera space matrix

eye: Eye (camera) position in world space
target: Target position in world space
up: Up vector in world space (should not be parallel to the camera direction, that is target - eye)

戻り値: A Matrix that transforms world space to camera space

Mult(Matrix4X4, Matrix4X4) : Matrix4X4

Multiplies two instances.

left: The left operand of the multiplication.
right: The right operand of the multiplication.

戻り値: A new instance that is the result of the multiplication

Mult(Matrix4X4, Matrix4X4, Matrix4X4)

Multiplies two instances.

left: The left operand of the multiplication.
right: The right operand of the multiplication.
result: A new instance that is the result of the multiplication

op_Equality(Matrix4X4, Matrix4X4) : bool

Compares two instances for equality.

left: The first instance.
right: The second instance.

戻り値: True, if left equals right; false otherwise.

op_Inequality(Matrix4X4, Matrix4X4) : bool

Compares two instances for inequality.

left: The first instance.
right: The second instance.

戻り値: True, if left does not equal right; false otherwise.

op_Multiply(Matrix4X4, Matrix4X4) : Matrix4X4

Matrix multiplication

left: left-hand operand
right: right-hand operand

戻り値: A new Matrix44 which holds the result of the multiplication

Perspective(double, double, double, double) : Matrix4X4

Build a projection matrix

fovy: Angle of the field of view in the y direction (in radians)
aspect: Aspect ratio of the view (width / height)
near: Distance to the near clip plane
far: Distance to the far clip plane

戻り値: A projection matrix that transforms camera space to raster space

ToString() : string

Returns a System.String that represents the current Matrix44.

Transpose()

Converts this instance into its transpose.

Transpose(Matrix4X4) : Matrix4X4

Calculate the transpose of the given matrix

mat: The matrix to transpose

戻り値: The transpose of the given matrix

Transpose(Matrix4X4, Matrix4X4)

Calculate the transpose of the given matrix

mat: The matrix to transpose
result: The result of the calculation

フィールド

Identity : Matrix4X4

The identity matrix

Row0 : Vector4

Top row of the matrix

Row1 : Vector4

2nd row of the matrix

Row2 : Vector4

3rd row of the matrix

Row3 : Vector4

Bottom row of the matrix