Matrix4X4

public Matrix4X4(Vector4 row0, Vector4 row1, Vector4 row2, Vector4 row3)

matrix4X4 = Matrix4X4(row0, row1, row2, row3)

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

public Matrix4X4(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33)

matrix4X4 = Matrix4X4(m00, m01, m02, m03, m10, m11, m12, m13, m20, m21, m22, m23, m30, m31, m32, m33)

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.

public Vector4 Column0 { get; }

value = matrix4X4.Column0

The first column of this matrix

public Vector4 Column1 { get; }

value = matrix4X4.Column1

The second column of this matrix

public Vector4 Column2 { get; }

value = matrix4X4.Column2

The third column of this matrix

public Vector4 Column3 { get; }

value = matrix4X4.Column3

The fourth column of this matrix

public double Determinant { get; }

value = matrix4X4.Determinant

The determinant of this matrix

public double M11 { get; set; }

value = matrix4X4.M11
matrix4X4.M11 = value

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

public double M12 { get; set; }

value = matrix4X4.M12
matrix4X4.M12 = value

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

public double M13 { get; set; }

value = matrix4X4.M13
matrix4X4.M13 = value

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

public double M14 { get; set; }

value = matrix4X4.M14
matrix4X4.M14 = value

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

public double M21 { get; set; }

value = matrix4X4.M21
matrix4X4.M21 = value

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

public double M22 { get; set; }

value = matrix4X4.M22
matrix4X4.M22 = value

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

public double M23 { get; set; }

value = matrix4X4.M23
matrix4X4.M23 = value

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

public double M24 { get; set; }

value = matrix4X4.M24
matrix4X4.M24 = value

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

public double M31 { get; set; }

value = matrix4X4.M31
matrix4X4.M31 = value

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

public double M32 { get; set; }

value = matrix4X4.M32
matrix4X4.M32 = value

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

public double M33 { get; set; }

value = matrix4X4.M33
matrix4X4.M33 = value

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

public double M34 { get; set; }

value = matrix4X4.M34
matrix4X4.M34 = value

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

public double M41 { get; set; }

value = matrix4X4.M41
matrix4X4.M41 = value

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

public double M42 { get; set; }

value = matrix4X4.M42
matrix4X4.M42 = value

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

public double M43 { get; set; }

value = matrix4X4.M43
matrix4X4.M43 = value

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

public double M44 { get; set; }

value = matrix4X4.M44
matrix4X4.M44 = value

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

public Vector3 Position { get; }

value = matrix4X4.Position

Get just the position out of the matrix.

public static void CreateFromAxisAngle(Vector3 axis, double angle, Matrix4X4 result)

Matrix4X4.CreateFromAxisAngle(axis, angle, result)

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.

public static Matrix4X4 CreateFromAxisAngle(Vector3 axis, double angle)

result = Matrix4X4.CreateFromAxisAngle(axis, angle)

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).

Returns: A matrix instance.

public static void CreateOrthographic(double width, double height, double zNear, double zFar, Matrix4X4 result)

Matrix4X4.CreateOrthographic(width, height, zNear, zFar, result)

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.

public static Matrix4X4 CreateOrthographic(double width, double height, double zNear, double zFar)

result = Matrix4X4.CreateOrthographic(width, height, zNear, zFar)

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.

public static Matrix4X4 CreateOrthographicOffCenter(double left, double right, double bottom, double top, double zNear, double zFar)

result = Matrix4X4.CreateOrthographicOffCenter(left, right, bottom, top, zNear, zFar)

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.

Returns: The resulting Matrix4d instance.

public static void CreateOrthographicOffCenter(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4X4 result)

Matrix4X4.CreateOrthographicOffCenter(left, right, bottom, top, zNear, zFar, result)

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.

public static void CreatePerspectiveFieldOfView(double fovYRadians, double aspectWidthOverHeight, double zNear, double zFar, Matrix4X4 result)

Matrix4X4.CreatePerspectiveFieldOfView(fovYRadians, aspectWidthOverHeight, zNear, zFar, result)

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

public static Matrix4X4 CreatePerspectiveFieldOfView(double fovYRadians, double aspectWidthOverHeight, double zNear, double zFar)

result = Matrix4X4.CreatePerspectiveFieldOfView(fovYRadians, aspectWidthOverHeight, zNear, zFar)

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

Returns: A projection matrix that transforms camera space to raster space

public static void CreatePerspectiveOffCenter(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4X4 result)

Matrix4X4.CreatePerspectiveOffCenter(left, right, bottom, top, zNear, zFar, result)

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

public static Matrix4X4 CreatePerspectiveOffCenter(double left, double right, double bottom, double top, double zNear, double zFar)

result = Matrix4X4.CreatePerspectiveOffCenter(left, right, bottom, top, zNear, zFar)

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

Returns: A projection matrix that transforms camera space to raster space

public static Matrix4X4 CreateRotation(Vector3 axis, double angle)

result = Matrix4X4.CreateRotation(axis, angle)

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)

Returns: A rotation matrix

public static Matrix4X4 CreateRotation(Quaternion q)

result = Matrix4X4.CreateRotation(q)

Build a rotation matrix from a quaternion

q

the quaternion

Returns: A rotation matrix

public static void CreateRotationX(double angle, Matrix4X4 result)

Matrix4X4.CreateRotationX(angle, result)

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

angle

The counter-clockwise angle in radians.

result

The resulting Matrix4 instance.

public static Matrix4X4 CreateRotationX(double angle)

result = Matrix4X4.CreateRotationX(angle)

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

angle

The counter-clockwise angle in radians.

Returns: The resulting Matrix4 instance.

public static Matrix4X4 CreateRotationY(double angle)

result = Matrix4X4.CreateRotationY(angle)

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

angle

The counter-clockwise angle in radians.

Returns: The resulting Matrix4 instance.

public static void CreateRotationY(double angle, Matrix4X4 result)

Matrix4X4.CreateRotationY(angle, result)

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

angle

The counter-clockwise angle in radians.

result

The resulting Matrix4 instance.

public static Matrix4X4 CreateRotationZ(double angle)

result = Matrix4X4.CreateRotationZ(angle)

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

angle

The counter-clockwise angle in radians.

Returns: The resulting Matrix4 instance.

public static void CreateRotationZ(double angle, Matrix4X4 result)

Matrix4X4.CreateRotationZ(angle, result)

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

angle

The counter-clockwise angle in radians.

result

The resulting Matrix4 instance.

public static Matrix4X4 CreateScale(double x, double y, double z)

result = Matrix4X4.CreateScale(x, y, z)

Build a scaling matrix

x

Scale factor for x-axis

y

Scale factor for y-axis

z

Scale factor for z-axis

Returns: A scaling matrix

public static Matrix4X4 CreateScale(Vector3 scale)

result = Matrix4X4.CreateScale(scale)

Build a scaling matrix

scale

Scale factors for x,y and z axes

Returns: A scaling matrix

public static Matrix4X4 CreateScale(double scale)

result = Matrix4X4.CreateScale(scale)

Build a scaling matrix

scale

Single scale factor for x,y and z axes

Returns: A scaling matrix

public static void CreateTranslation(double x, double y, double z, Matrix4X4 result)

Matrix4X4.CreateTranslation(x, y, z, result)

Creates a translation matrix.

x

X translation.

y

Y translation.

z

Z translation.

result

The resulting Matrix4d instance.

public static Matrix4X4 CreateTranslation(double x, double y, double z)

result = Matrix4X4.CreateTranslation(x, y, z)

Creates a translation matrix.

x

X translation.

y

Y translation.

z

Z translation.

Returns: The resulting Matrix4d instance.

public static Matrix4X4 CreateTranslation(Vector3 vector)

result = Matrix4X4.CreateTranslation(vector)

Creates a translation matrix.

vector

The translation vector.

Returns: The resulting Matrix4d instance.

public static void CreateTranslation(Vector3 vector, Matrix4X4 result)

Matrix4X4.CreateTranslation(vector, result)

Creates a translation matrix.

vector

The translation vector.

result

The resulting Matrix4d instance.

public override bool Equals(object obj)

result = matrix4X4.Equals(obj)

Indicates whether this instance and a specified object are equal.

obj

The object to compare to.

Returns: True if the instances are equal; false otherwise.

public bool Equals(Matrix4X4 other)

result = matrix4X4.Equals(other)

Indicates whether the current matrix is equal to another matrix.

other

An matrix to compare with this matrix.

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

public static Matrix4X4 Frustum(double left, double right, double bottom, double top, double near, double far)

result = Matrix4X4.Frustum(left, right, bottom, top, near, far)

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

Returns: A projection matrix that transforms camera space to raster space

public override int GetHashCode()

result = matrix4X4.GetHashCode()

Returns the hashcode for this instance.

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

public void Invert()

matrix4X4.Invert()

Converts this instance into its inverse.

public static Matrix4X4 Invert(Matrix4X4 mat)

result = Matrix4X4.Invert(mat)

Calculate the inverse of the given matrix

mat

The matrix to invert

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

public static Matrix4X4 LookAt(double eyeX, double eyeY, double eyeZ, double targetX, double targetY, double targetZ, double upX, double upY, double upZ)

result = Matrix4X4.LookAt(eyeX, eyeY, eyeZ, targetX, targetY, targetZ, upX, upY, upZ)

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)

Returns: A Matrix4 that transforms world space to camera space

public static Matrix4X4 LookAt(Vector3 eye, Vector3 target, Vector3 up)

result = Matrix4X4.LookAt(eye, target, up)

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)

Returns: A Matrix that transforms world space to camera space

public static Matrix4X4 Mult(Matrix4X4 left, Matrix4X4 right)

result = Matrix4X4.Mult(left, right)

Multiplies two instances.

left

The left operand of the multiplication.

right

The right operand of the multiplication.

Returns: A new instance that is the result of the multiplication

public static void Mult(Matrix4X4 left, Matrix4X4 right, Matrix4X4 result)

Matrix4X4.Mult(left, right, result)

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

public static bool op_Equality(Matrix4X4 left, Matrix4X4 right)

result = Matrix4X4.op_Equality(left, right)

Compares two instances for equality.

left

The first instance.

right

The second instance.

Returns: True, if left equals right; false otherwise.

public static bool op_Inequality(Matrix4X4 left, Matrix4X4 right)

result = Matrix4X4.op_Inequality(left, right)

Compares two instances for inequality.

left

The first instance.

right

The second instance.

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

public static Matrix4X4 op_Multiply(Matrix4X4 left, Matrix4X4 right)

result = Matrix4X4.op_Multiply(left, right)

Matrix multiplication

left

left-hand operand

right

right-hand operand

Returns: A new Matrix44 which holds the result of the multiplication

public static Matrix4X4 Perspective(double fovy, double aspect, double near, double far)

result = Matrix4X4.Perspective(fovy, aspect, near, far)

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

Returns: A projection matrix that transforms camera space to raster space

public override string ToString()

result = matrix4X4.ToString()

Returns a System.String that represents the current Matrix44.

public void Transpose()

matrix4X4.Transpose()

Converts this instance into its transpose.

public static Matrix4X4 Transpose(Matrix4X4 mat)

result = Matrix4X4.Transpose(mat)

Calculate the transpose of the given matrix

mat

The matrix to transpose

Returns: The transpose of the given matrix

public static void Transpose(Matrix4X4 mat, Matrix4X4 result)

Matrix4X4.Transpose(mat, result)

Calculate the transpose of the given matrix

mat

The matrix to transpose

result

The result of the calculation

public static Matrix4X4 Identity

value = Matrix4X4.Identity

The identity matrix

public Vector4 Row0

value = matrix4X4.Row0

Top row of the matrix

public Vector4 Row1

value = matrix4X4.Row1

2nd row of the matrix

public Vector4 Row2

value = matrix4X4.Row2

3rd row of the matrix

public Vector4 Row3

value = matrix4X4.Row3

Bottom row of the matrix