Struct Matrix4x3d

Represents a 3x4 matrix.

Implements
Inherited Members
Namespace: OpenTK.Mathematics
Assembly: OpenTK.Mathematics.dll
Syntax
[Serializable]
public struct Matrix4x3d : IEquatable<Matrix4x3d>, IFormattable, IMultiplyOperators<Matrix4x3d, Vector3d, Vector4d>, IMultiplyOperators<Matrix4x3d, Matrix3x2d, Matrix4x2d>, IMultiplyOperators<Matrix4x3d, Matrix3d, Matrix4x3d>, IMultiplyOperators<Matrix4x3d, Matrix3x4d, Matrix4d>, IMultiplyOperators<Matrix4x3d, Matrix4x3d, Matrix4x3d>, IMultiplyOperators<Matrix4x3d, double, Matrix4x3d>, IAdditionOperators<Matrix4x3d, Matrix4x3d, Matrix4x3d>, ISubtractionOperators<Matrix4x3d, Matrix4x3d, Matrix4x3d>, IEqualityOperators<Matrix4x3d, Matrix4x3d, bool>, IAdditiveIdentity<Matrix4x3d, Matrix4x3d>

Constructors

Matrix4x3d(Vector3d, Vector3d, Vector3d, Vector3d)

Initializes a new instance of the Matrix4x3d struct.

Declaration
public Matrix4x3d(Vector3d row0, Vector3d row1, Vector3d row2, Vector3d row3)
Parameters
Type Name Description
Vector3d row0

Top row of the matrix.
Vector3d row1

Second row of the matrix.
Vector3d row2

Third row of the matrix.
Vector3d row3

Bottom row of the matrix.

Matrix4x3d(double, double, double, double, double, double, double, double, double, double, double, double)

Initializes a new instance of the Matrix4x3d struct.

Declaration
public Matrix4x3d(double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22, double m30, double m31, double m32)
Parameters
Type Name Description
double m00

First item of the first row of the matrix.
double m01

Second item of the first row of the matrix.
double m02

Third item of the first row of the matrix.
double m10

First item of the second row of the matrix.
double m11

Second item of the second row of the matrix.
double m12

Third item of the second row of the matrix.
double m20

First item of the third row of the matrix.
double m21

Second item of the third row of the matrix.
double m22

Third item of the third row of the matrix.
double m30

First item of the fourth row of the matrix.
double m31

Second item of the fourth row of the matrix.
double m32

Third item of the fourth row of the matrix.

Fields

Identity

The identity matrix.

Declaration
public static readonly Matrix4x3d Identity
Field Value
Type Description
Matrix4x3d

Row0

Top row of the matrix.

Declaration
public Vector3d Row0
Field Value
Type Description
Vector3d

Row1

2nd row of the matrix.

Declaration
public Vector3d Row1
Field Value
Type Description
Vector3d

Row2

3rd row of the matrix.

Declaration
public Vector3d Row2
Field Value
Type Description
Vector3d

Row3

Bottom row of the matrix.

Declaration
public Vector3d Row3
Field Value
Type Description
Vector3d

Zero

The zero matrix.

Declaration
public static readonly Matrix4x3d Zero
Field Value
Type Description
Matrix4x3d

Properties

AdditiveIdentity

Gets the additive identity of the matrix, which is the zero matrix.

Declaration
public static Matrix4x3d AdditiveIdentity { get; }
Property Value
Type Description
Matrix4x3d

Column0

Gets the first column of this matrix.

Declaration
public Vector4d Column0 { readonly get; set; }
Property Value
Type Description
Vector4d

Column1

Gets the second column of this matrix.

Declaration
public Vector4d Column1 { readonly get; set; }
Property Value
Type Description
Vector4d

Column2

Gets the third column of this matrix.

Declaration
public Vector4d Column2 { readonly get; set; }
Property Value
Type Description
Vector4d

Diagonal

Gets or sets the values along the main diagonal of the matrix.

Declaration
public Vector3d Diagonal { readonly get; set; }
Property Value
Type Description
Vector3d

this[int, int]

Gets or sets the value at a specified row and column.

Declaration
public double this[int rowIndex, int columnIndex] { readonly get; set; }
Parameters
Type Name Description
int rowIndex

The index of the row.
int columnIndex

The index of the column.
Property Value
Type Description
double

The element at the given row and column index.

M11

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

Declaration
public double M11 { readonly get; set; }
Property Value
Type Description
double

M12

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

Declaration
public double M12 { readonly get; set; }
Property Value
Type Description
double

M13

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

Declaration
public double M13 { readonly get; set; }
Property Value
Type Description
double

M21

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

Declaration
public double M21 { readonly get; set; }
Property Value
Type Description
double

M22

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

Declaration
public double M22 { readonly get; set; }
Property Value
Type Description
double

M23

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

Declaration
public double M23 { readonly get; set; }
Property Value
Type Description
double

M31

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

Declaration
public double M31 { readonly get; set; }
Property Value
Type Description
double

M32

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

Declaration
public double M32 { readonly get; set; }
Property Value
Type Description
double

M33

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

Declaration
public double M33 { readonly get; set; }
Property Value
Type Description
double

M41

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

Declaration
public double M41 { readonly get; set; }
Property Value
Type Description
double

M42

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

Declaration
public double M42 { readonly get; set; }
Property Value
Type Description
double

M43

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

Declaration
public double M43 { readonly get; set; }
Property Value
Type Description
double

Trace

Gets the trace of the matrix, the sum of the values along the diagonal.

Declaration
public readonly double Trace { get; }
Property Value
Type Description
double

Methods

Add(Matrix4x3d, Matrix4x3d)

Adds two instances.

Declaration
[Pure]
public static Matrix4x3d Add(Matrix4x3d left, Matrix4x3d right)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the addition.
Matrix4x3d right

The right operand of the addition.
Returns
Type Description
Matrix4x3d

A new instance that is the result of the addition.

Add(in Matrix4x3d, in Matrix4x3d, out Matrix4x3d)

Adds two instances.

Declaration
public static void Add(in Matrix4x3d left, in Matrix4x3d right, out Matrix4x3d result)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the addition.
Matrix4x3d right

The right operand of the addition.
Matrix4x3d result

A new instance that is the result of the addition.

CreateFromAxisAngle(Vector3d, double)

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

Declaration
[Pure]
public static Matrix4x3d CreateFromAxisAngle(Vector3d axis, double angle)
Parameters
Type Name Description
Vector3d axis

The axis to rotate about.
double angle

Angle in radians to rotate counter-clockwise (looking in the direction of the given axis).
Returns
Type Description
Matrix4x3d

A matrix instance.

CreateFromAxisAngle(Vector3d, double, out Matrix4x3d)

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

Declaration
public static void CreateFromAxisAngle(Vector3d axis, double angle, out Matrix4x3d result)
Parameters
Type Name Description
Vector3d axis

The axis to rotate about.
double angle

Angle in radians to rotate counter-clockwise (looking in the direction of the given axis).
Matrix4x3d result

A matrix instance.

CreateFromQuaternion(Quaternion)

Builds a rotation matrix from a quaternion.

Declaration
[Pure]
public static Matrix4x3d CreateFromQuaternion(Quaternion q)
Parameters
Type Name Description
Quaternion q

The quaternion to rotate by.
Returns
Type Description
Matrix4x3d

A matrix instance.

CreateFromQuaternion(in Quaternion, out Matrix4x3d)

Builds a rotation matrix from a quaternion.

Declaration
public static void CreateFromQuaternion(in Quaternion q, out Matrix4x3d result)
Parameters
Type Name Description
Quaternion q

The quaternion to rotate by.
Matrix4x3d result

A matrix instance.

CreateRotationX(double)

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

Declaration
[Pure]
public static Matrix4x3d CreateRotationX(double angle)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.
Returns
Type Description
Matrix4x3d

The resulting Matrix4dinstance.

CreateRotationX(double, out Matrix4x3d)

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

Declaration
public static void CreateRotationX(double angle, out Matrix4x3d result)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.
Matrix4x3d result

The resulting Matrix4dinstance.

CreateRotationY(double)

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

Declaration
[Pure]
public static Matrix4x3d CreateRotationY(double angle)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.
Returns
Type Description
Matrix4x3d

The resulting Matrix4dinstance.

CreateRotationY(double, out Matrix4x3d)

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

Declaration
public static void CreateRotationY(double angle, out Matrix4x3d result)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.
Matrix4x3d result

The resulting Matrix4dinstance.

CreateRotationZ(double)

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

Declaration
[Pure]
public static Matrix4x3d CreateRotationZ(double angle)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.
Returns
Type Description
Matrix4x3d

The resulting Matrix4dinstance.

CreateRotationZ(double, out Matrix4x3d)

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

Declaration
public static void CreateRotationZ(double angle, out Matrix4x3d result)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.
Matrix4x3d result

The resulting Matrix4dinstance.

CreateScale(Vector3d)

Build a scaling matrix.

Declaration
[Pure]
public static Matrix4x3d CreateScale(Vector3d scale)
Parameters
Type Name Description
Vector3d scale

Scale factors for x,y and z axes.
Returns
Type Description
Matrix4x3d

A scaling matrix.

CreateScale(double)

Build a scaling matrix.

Declaration
[Pure]
public static Matrix4x3d CreateScale(double scale)
Parameters
Type Name Description
double scale

Single scale factor for x,y and z axes.
Returns
Type Description
Matrix4x3d

A scaling matrix.

CreateScale(double, double, double)

Build a scaling matrix.

Declaration
[Pure]
public static Matrix4x3d CreateScale(double x, double y, double z)
Parameters
Type Name Description
double x

Scale factor for x-axis.
double y

Scale factor for y-axis.
double z

Scale factor for z-axis.
Returns
Type Description
Matrix4x3d

A scaling matrix.

CreateTranslation(Vector3d)

Creates a translation matrix.

Declaration
[Pure]
public static Matrix4x3d CreateTranslation(Vector3d vector)
Parameters
Type Name Description
Vector3d vector

The translation vector.
Returns
Type Description
Matrix4x3d

The resulting Matrix4dinstance.

CreateTranslation(in Vector3d, out Matrix4x3d)

Creates a translation matrix.

Declaration
public static void CreateTranslation(in Vector3d vector, out Matrix4x3d result)
Parameters
Type Name Description
Vector3d vector

The translation vector.
Matrix4x3d result

The resulting Matrix4dinstance.

CreateTranslation(double, double, double)

Creates a translation matrix.

Declaration
[Pure]
public static Matrix4x3d CreateTranslation(double x, double y, double z)
Parameters
Type Name Description
double x

X translation.
double y

Y translation.
double z

Z translation.
Returns
Type Description
Matrix4x3d

The resulting Matrix4dinstance.

CreateTranslation(double, double, double, out Matrix4x3d)

Creates a translation matrix.

Declaration
public static void CreateTranslation(double x, double y, double z, out Matrix4x3d result)
Parameters
Type Name Description
double x

X translation.
double y

Y translation.
double z

Z translation.
Matrix4x3d result

The resulting Matrix4dinstance.

Equals(Matrix4x3d)

Indicates whether the current matrix is equal to another matrix.

Declaration
[Pure]
public readonly bool Equals(Matrix4x3d other)
Parameters
Type Name Description
Matrix4x3d other

An matrix to compare with this matrix.
Returns
Type Description
bool

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

Equals(object)

Indicates whether this instance and a specified object are equal.

Declaration
[Pure]
public override readonly bool Equals(object obj)
Parameters
Type Name Description
object obj

The object to compare tresult.
Returns
Type Description
bool

True if the instances are equal; false otherwise.
Overrides

GetHashCode()

Returns the hashcode for this instance.

Declaration
public override readonly int GetHashCode()
Returns
Type Description
int

A System.Int32 containing the unique hashcode for this instance.
Overrides

Invert()

Converts this instance into its inverse.

Declaration
public void Invert()

Invert(Matrix4x3d)

Calculate the inverse of the given matrix.

Declaration
[Pure]
public static Matrix4x3d Invert(Matrix4x3d mat)
Parameters
Type Name Description
Matrix4x3d mat

The matrix to invert.
Returns
Type Description
Matrix4x3d

The inverse of the given matrix.
Exceptions
Type Condition
InvalidOperationException

Thrown if the Matrix4 is singular.

Invert(in Matrix4x3d, out Matrix4x3d)

Calculate the inverse of the given matrix.

Declaration
public static void Invert(in Matrix4x3d mat, out Matrix4x3d result)
Parameters
Type Name Description
Matrix4x3d mat

The matrix to invert.
Matrix4x3d result

The inverse of the given matrix if it has one, or the input if it is singular.
Exceptions
Type Condition
InvalidOperationException

Thrown if the Matrix4 is singular.

Inverted()

Returns an inverted copy of this instance.

Declaration
public readonly Matrix4x3d Inverted()
Returns
Type Description
Matrix4x3d

The inverted copy.

Mult(Matrix4x3d, Matrix3d)

Multiplies two instances.

Declaration
[Pure]
public static Matrix4x3d Mult(Matrix4x3d left, Matrix3d right)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the multiplication.
Matrix3d right

The right operand of the multiplication.
Returns
Type Description
Matrix4x3d

A new instance that is the result of the multiplication.

Mult(Matrix4x3d, Matrix3x2d)

Multiplies two instances.

Declaration
[Pure]
public static Matrix4x2d Mult(Matrix4x3d left, Matrix3x2d right)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the multiplication.
Matrix3x2d right

The right operand of the multiplication.
Returns
Type Description
Matrix4x2d

A new instance that is the result of the multiplication.

Mult(Matrix4x3d, Matrix3x4d)

Multiplies two instances.

Declaration
[Pure]
public static Matrix4d Mult(Matrix4x3d left, Matrix3x4d right)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the multiplication.
Matrix3x4d right

The right operand of the multiplication.
Returns
Type Description
Matrix4d

A new instance that is the result of the multiplication.

Mult(Matrix4x3d, Matrix4x3d)

Multiplies two instances. This is done by extending the matrices with a last row of (0, 0, 0, 1), and discarding the last row of the result.

Declaration
[Pure]
public static Matrix4x3d Mult(Matrix4x3d left, Matrix4x3d right)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the multiplication.
Matrix4x3d right

The right operand of the multiplication.
Returns
Type Description
Matrix4x3d

A new instance that is the result of the multiplication.

Mult(Matrix4x3d, double)

Multiplies an instance by a scalar.

Declaration
[Pure]
public static Matrix4x3d Mult(Matrix4x3d left, double right)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the multiplication.
double right

The right operand of the multiplication.
Returns
Type Description
Matrix4x3d

A new instance that is the result of the multiplication.

Mult(in Matrix4x3d, in Matrix3d, out Matrix4x3d)

Multiplies two instances.

Declaration
public static void Mult(in Matrix4x3d left, in Matrix3d right, out Matrix4x3d result)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the multiplication.
Matrix3d right

The right operand of the multiplication.
Matrix4x3d result

A new instance that is the result of the multiplication.

Mult(in Matrix4x3d, in Matrix3x2d, out Matrix4x2d)

Multiplies two instances.

Declaration
public static void Mult(in Matrix4x3d left, in Matrix3x2d right, out Matrix4x2d result)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the multiplication.
Matrix3x2d right

The right operand of the multiplication.
Matrix4x2d result

A new instance that is the result of the multiplication.

Mult(in Matrix4x3d, in Matrix3x4d, out Matrix4d)

Multiplies two instances.

Declaration
public static void Mult(in Matrix4x3d left, in Matrix3x4d right, out Matrix4d result)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the multiplication.
Matrix3x4d right

The right operand of the multiplication.
Matrix4d result

A new instance that is the result of the multiplication.

Mult(in Matrix4x3d, in Matrix4x3d, out Matrix4x3d)

Multiplies two instances. This is done by extending the matrices with a last row of (0, 0, 0, 1), and discarding the last row of the result.

Declaration
public static void Mult(in Matrix4x3d left, in Matrix4x3d right, out Matrix4x3d result)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the multiplication.
Matrix4x3d right

The right operand of the multiplication.
Matrix4x3d result

A new instance that is the result of the multiplication.

Mult(in Matrix4x3d, double, out Matrix4x3d)

Multiplies an instance by a scalar.

Declaration
public static void Mult(in Matrix4x3d left, double right, out Matrix4x3d result)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the multiplication.
double right

The right operand of the multiplication.
Matrix4x3d result

A new instance that is the result of the multiplication.

Subtract(Matrix4x3d, Matrix4x3d)

Subtracts one instance from another.

Declaration
[Pure]
public static Matrix4x3d Subtract(Matrix4x3d left, Matrix4x3d right)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the subraction.
Matrix4x3d right

The right operand of the subraction.
Returns
Type Description
Matrix4x3d

A new instance that is the result of the subraction.

Subtract(in Matrix4x3d, in Matrix4x3d, out Matrix4x3d)

Subtracts one instance from another.

Declaration
public static void Subtract(in Matrix4x3d left, in Matrix4x3d right, out Matrix4x3d result)
Parameters
Type Name Description
Matrix4x3d left

The left operand of the subraction.
Matrix4x3d right

The right operand of the subraction.
Matrix4x3d result

A new instance that is the result of the subraction.

Swizzle(Matrix4x3d, int, int, int, int)

Swizzles a matrix, i.e. switches rows of the matrix.

Declaration
public static Matrix4x3d Swizzle(Matrix4x3d mat, int rowForRow0, int rowForRow1, int rowForRow2, int rowForRow3)
Parameters
Type Name Description
Matrix4x3d mat

The matrix to swizzle.
int rowForRow0

Which row to place in Row0.
int rowForRow1

Which row to place in Row1.
int rowForRow2

Which row to place in Row2.
int rowForRow3

Which row to place in Row3.
Returns
Type Description
Matrix4x3d

The swizzled matrix.
Exceptions
Type Condition
IndexOutOfRangeException

If any of the rows are outside of the range [0, 3].

Swizzle(in Matrix4x3d, int, int, int, int, out Matrix4x3d)

Swizzles a matrix, i.e. switches rows of the matrix.

Declaration
public static void Swizzle(in Matrix4x3d mat, int rowForRow0, int rowForRow1, int rowForRow2, int rowForRow3, out Matrix4x3d result)
Parameters
Type Name Description
Matrix4x3d mat

The matrix to swizzle.
int rowForRow0

Which row to place in Row0.
int rowForRow1

Which row to place in Row1.
int rowForRow2

Which row to place in Row2.
int rowForRow3

Which row to place in Row3.
Matrix4x3d result

The swizzled matrix.
Exceptions
Type Condition
IndexOutOfRangeException

If any of the rows are outside of the range [0, 3].

Swizzle(int, int, int, int)

Swizzles this instance. Swiches places of the rows of the matrix.

Declaration
public void Swizzle(int rowForRow0, int rowForRow1, int rowForRow2, int rowForRow3)
Parameters
Type Name Description
int rowForRow0

Which row to place in Row0.
int rowForRow1

Which row to place in Row1.
int rowForRow2

Which row to place in Row2.
int rowForRow3

Which row to place in Row3.

Swizzled(int, int, int, int)

Returns a swizzled copy of this instance.

Declaration
public readonly Matrix4x3d Swizzled(int rowForRow0, int rowForRow1, int rowForRow2, int rowForRow3)
Parameters
Type Name Description
int rowForRow0

Which row to place in Row0.
int rowForRow1

Which row to place in Row1.
int rowForRow2

Which row to place in Row2.
int rowForRow3

Which row to place in Row3.
Returns
Type Description
Matrix4x3d

The swizzled copy.

ToString()

Returns a System.String that represents the current Matrix4x3d.

Declaration
public override readonly string ToString()
Returns
Type Description
string

The string representation of the matrix.
Overrides

ToString(IFormatProvider)

Formats the value of the current instance using the specified format.

Declaration
public readonly string ToString(IFormatProvider formatProvider)
Parameters
Type Name Description
IFormatProvider formatProvider

The provider to use to format the value.

-or-

A null reference (Nothing in Visual Basic) to obtain the numeric format information from the current locale setting of the operating system.
Returns
Type Description
string

The value of the current instance in the specified format.

ToString(string)

Formats the value of the current instance using the specified format.

Declaration
public readonly string ToString(string format)
Parameters
Type Name Description
string format

The format to use.

-or-

A null reference (Nothing in Visual Basic) to use the default format defined for the type of the IFormattable implementation.
Returns
Type Description
string

The value of the current instance in the specified format.

ToString(string, IFormatProvider)

Formats the value of the current instance using the specified format.

Declaration
public readonly string ToString(string format, IFormatProvider formatProvider)
Parameters
Type Name Description
string format

The format to use.

-or-

A null reference (Nothing in Visual Basic) to use the default format defined for the type of the IFormattable implementation.
IFormatProvider formatProvider

The provider to use to format the value.

-or-

A null reference (Nothing in Visual Basic) to obtain the numeric format information from the current locale setting of the operating system.
Returns
Type Description
string

The value of the current instance in the specified format.

Transpose(Matrix4x3d)

Calculate the transpose of the given matrix.

Declaration
[Pure]
public static Matrix3x4d Transpose(Matrix4x3d mat)
Parameters
Type Name Description
Matrix4x3d mat

The matrix to transpose.
Returns
Type Description
Matrix3x4d

The transpose of the given matrix.

Transpose(in Matrix4x3d, out Matrix3x4d)

Calculate the transpose of the given matrix.

Declaration
public static void Transpose(in Matrix4x3d mat, out Matrix3x4d result)
Parameters
Type Name Description
Matrix4x3d mat

The matrix to transpose.
Matrix3x4d result

The result of the calculation.

Transposed()

Returns a transposed copy of this instance.

Declaration
public readonly Matrix3x4d Transposed()
Returns
Type Description
Matrix3x4d

The transposed copy.

Operators

operator +(Matrix4x3d, Matrix4x3d)

Matrix addition.

Declaration
[Pure]
public static Matrix4x3d operator +(Matrix4x3d left, Matrix4x3d right)
Parameters
Type Name Description
Matrix4x3d left

left-hand operand.
Matrix4x3d right

right-hand operand.
Returns
Type Description
Matrix4x3d

A new Matrix4x3d which holds the result of the addition.

operator ==(Matrix4x3d, Matrix4x3d)

Compares two instances for equality.

Declaration
[Pure]
public static bool operator ==(Matrix4x3d left, Matrix4x3d right)
Parameters
Type Name Description
Matrix4x3d left

The first instance.
Matrix4x3d right

The second instance.
Returns
Type Description
bool

True, if left equals right; false otherwise.

operator !=(Matrix4x3d, Matrix4x3d)

Compares two instances for inequality.

Declaration
[Pure]
public static bool operator !=(Matrix4x3d left, Matrix4x3d right)
Parameters
Type Name Description
Matrix4x3d left

The first instance.
Matrix4x3d right

The second instance.
Returns
Type Description
bool

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

operator *(Matrix4x3d, Matrix3d)

Matrix multiplication.

Declaration
public static Matrix4x3d operator *(Matrix4x3d left, Matrix3d right)
Parameters
Type Name Description
Matrix4x3d left

left-hand operand.
Matrix3d right

right-hand operand.
Returns
Type Description
Matrix4x3d

A new Matrix4x3 which holds the result of the multiplication.

operator *(Matrix4x3d, Matrix3x2d)

Matrix multiplication.

Declaration
public static Matrix4x2d operator *(Matrix4x3d left, Matrix3x2d right)
Parameters
Type Name Description
Matrix4x3d left

left-hand operand.
Matrix3x2d right

right-hand operand.
Returns
Type Description
Matrix4x2d

A new Matrix4x2 which holds the result of the multiplication.

operator *(Matrix4x3d, Matrix3x4d)

Matrix multiplication.

Declaration
[Pure]
public static Matrix4d operator *(Matrix4x3d left, Matrix3x4d right)
Parameters
Type Name Description
Matrix4x3d left

left-hand operand.
Matrix3x4d right

right-hand operand.
Returns
Type Description
Matrix4d

A new Matrix4d which holds the result of the multiplication.

operator *(Matrix4x3d, Matrix4x3d)

Matrix multiplication.

Declaration
[Pure]
public static Matrix4x3d operator *(Matrix4x3d left, Matrix4x3d right)
Parameters
Type Name Description
Matrix4x3d left

left-hand operand.
Matrix4x3d right

right-hand operand.
Returns
Type Description
Matrix4x3d

A new Matrix4x3d which holds the result of the multiplication.

operator *(Matrix4x3d, Vector3d)

Transform a 3-dimensional vector into a 4-dimensional vector using the given 4x3 Matrix.

Declaration
[Pure]
public static Vector4d operator *(Matrix4x3d mat, Vector3d vec)
Parameters
Type Name Description
Matrix4x3d mat

The desired transformation.
Vector3d vec

The vector to transform.
Returns
Type Description
Vector4d

The transformed vector.

operator *(Matrix4x3d, double)

Matrix-scalar multiplication.

Declaration
[Pure]
public static Matrix4x3d operator *(Matrix4x3d left, double right)
Parameters
Type Name Description
Matrix4x3d left

left-hand operand.
double right

right-hand operand.
Returns
Type Description
Matrix4x3d

A new Matrix4x3d which holds the result of the multiplication.

operator -(Matrix4x3d, Matrix4x3d)

Matrix subtraction.

Declaration
[Pure]
public static Matrix4x3d operator -(Matrix4x3d left, Matrix4x3d right)
Parameters
Type Name Description
Matrix4x3d left

left-hand operand.
Matrix4x3d right

right-hand operand.
Returns
Type Description
Matrix4x3d

A new Matrix4x3d which holds the result of the subtraction.

Implements