Struct Matrix3d

Represents a 3x3 matrix containing 3D rotation and scale with double-precision components.

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

Constructors

Matrix3d(Matrix4d)

Initializes a new instance of the Matrix3d struct.

Declaration
public Matrix3d(Matrix4d matrix)
Parameters
Type Name Description
Matrix4d matrix

A Matrix4d to take the upper-left 3x3 from.

Matrix3d(Vector3d, Vector3d, Vector3d)

Initializes a new instance of the Matrix3d struct.

Declaration
public Matrix3d(Vector3d row0, Vector3d row1, Vector3d row2)
Parameters
Type Name Description
Vector3d row0

Top row of the matrix.
Vector3d row1

Second row of the matrix.
Vector3d row2

Bottom row of the matrix.

Matrix3d(double, double, double, double, double, double, double, double, double)

Initializes a new instance of the Matrix3d struct.

Declaration
public Matrix3d(double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22)
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.

Fields

Identity

The identity matrix.

Declaration
public static readonly Matrix3d Identity
Field Value
Type Description
Matrix3d

Row0

First row of the matrix.

Declaration
public Vector3d Row0
Field Value
Type Description
Vector3d

Row1

Second row of the matrix.

Declaration
public Vector3d Row1
Field Value
Type Description
Vector3d

Row2

Third row of the matrix.

Declaration
public Vector3d Row2
Field Value
Type Description
Vector3d

Zero

The zero matrix.

Declaration
public static readonly Matrix3d Zero
Field Value
Type Description
Matrix3d

Properties

AdditiveIdentity

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

Declaration
public static Matrix3d AdditiveIdentity { get; }
Property Value
Type Description
Matrix3d

Column0

Gets the first column of this matrix.

Declaration
public Vector3d Column0 { readonly get; set; }
Property Value
Type Description
Vector3d

Column1

Gets the second column of this matrix.

Declaration
public Vector3d Column1 { readonly get; set; }
Property Value
Type Description
Vector3d

Column2

Gets the third column of this matrix.

Declaration
public Vector3d Column2 { readonly get; set; }
Property Value
Type Description
Vector3d

Determinant

Gets the determinant of this matrix.

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

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

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

MultiplicativeIdentity

Gets the multiplicative identity of the matrix, which is the identity matrix.

Declaration
public static Matrix3d MultiplicativeIdentity { get; }
Property Value
Type Description
Matrix3d

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(Matrix3d, Matrix3d)

Adds two instances.

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

The left operand of the addition.
Matrix3d right

The right operand of the addition.
Returns
Type Description
Matrix3d

A new instance that is the result of the addition.

Add(in Matrix3d, in Matrix3d, out Matrix3d)

Adds two instances.

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

The left operand of the addition.
Matrix3d right

The right operand of the addition.
Matrix3d result

A new instance that is the result of the addition.

ClearRotation()

Returns a copy of this Matrix3 without rotation.

Declaration
public readonly Matrix3d ClearRotation()
Returns
Type Description
Matrix3d

The matrix without rotation.

ClearScale()

Returns a copy of this Matrix3 without scale.

Declaration
public readonly Matrix3d ClearScale()
Returns
Type Description
Matrix3d

The matrix without scaling.

CreateFromAxisAngle(Vector3d, double)

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

Declaration
[Pure]
public static Matrix3d 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
Matrix3d

A matrix instance.

CreateFromAxisAngle(Vector3d, double, out Matrix3d)

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

Declaration
public static void CreateFromAxisAngle(Vector3d axis, double angle, out Matrix3d 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).
Matrix3d result

A matrix instance.

CreateFromQuaternion(Quaterniond)

Build a rotation matrix from the specified quaternion.

Declaration
[Pure]
public static Matrix3d CreateFromQuaternion(Quaterniond q)
Parameters
Type Name Description
Quaterniond q

Quaternion to translate.
Returns
Type Description
Matrix3d

A matrix instance.

CreateFromQuaternion(in Quaterniond, out Matrix3d)

Build a rotation matrix from the specified quaternion.

Declaration
public static void CreateFromQuaternion(in Quaterniond q, out Matrix3d result)
Parameters
Type Name Description
Quaterniond q

Quaternion to translate.
Matrix3d result

Matrix result.

CreateRotationX(double)

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

Declaration
[Pure]
public static Matrix3d CreateRotationX(double angle)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.
Returns
Type Description
Matrix3d

The resulting Matrix3d instance.

CreateRotationX(double, out Matrix3d)

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

Declaration
public static void CreateRotationX(double angle, out Matrix3d result)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.
Matrix3d result

The resulting Matrix3d instance.

CreateRotationY(double)

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

Declaration
[Pure]
public static Matrix3d CreateRotationY(double angle)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.
Returns
Type Description
Matrix3d

The resulting Matrix3d instance.

CreateRotationY(double, out Matrix3d)

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

Declaration
public static void CreateRotationY(double angle, out Matrix3d result)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.
Matrix3d result

The resulting Matrix3d instance.

CreateRotationZ(double)

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

Declaration
[Pure]
public static Matrix3d CreateRotationZ(double angle)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.
Returns
Type Description
Matrix3d

The resulting Matrix3d instance.

CreateRotationZ(double, out Matrix3d)

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

Declaration
public static void CreateRotationZ(double angle, out Matrix3d result)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.
Matrix3d result

The resulting Matrix3d instance.

CreateScale(Vector3d)

Creates a scale matrix.

Declaration
[Pure]
public static Matrix3d CreateScale(Vector3d scale)
Parameters
Type Name Description
Vector3d scale

Scale factors for the x, y, and z axes.
Returns
Type Description
Matrix3d

A scale matrix.

CreateScale(in Vector3d, out Matrix3d)

Creates a scale matrix.

Declaration
public static void CreateScale(in Vector3d scale, out Matrix3d result)
Parameters
Type Name Description
Vector3d scale

Scale factors for the x, y, and z axes.
Matrix3d result

A scale matrix.

CreateScale(double)

Creates a scale matrix.

Declaration
[Pure]
public static Matrix3d CreateScale(double scale)
Parameters
Type Name Description
double scale

Single scale factor for the x, y, and z axes.
Returns
Type Description
Matrix3d

A scale matrix.

CreateScale(double, out Matrix3d)

Creates a scale matrix.

Declaration
public static void CreateScale(double scale, out Matrix3d result)
Parameters
Type Name Description
double scale

Single scale factor for the x, y, and z axes.
Matrix3d result

A scale matrix.

CreateScale(double, double, double)

Creates a scale matrix.

Declaration
[Pure]
public static Matrix3d CreateScale(double x, double y, double z)
Parameters
Type Name Description
double x

Scale factor for the x axis.
double y

Scale factor for the y axis.
double z

Scale factor for the z axis.
Returns
Type Description
Matrix3d

A scale matrix.

CreateScale(double, double, double, out Matrix3d)

Creates a scale matrix.

Declaration
public static void CreateScale(double x, double y, double z, out Matrix3d result)
Parameters
Type Name Description
double x

Scale factor for the x axis.
double y

Scale factor for the y axis.
double z

Scale factor for the z axis.
Matrix3d result

A scale matrix.

CreateSwizzle(int, int, int)

Create a swizzle matrix that can be used to change the row order of matrices.

Declaration
public static Matrix3d CreateSwizzle(int rowForRow0, int rowForRow1, int rowForRow2)
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.
Returns
Type Description
Matrix3d

The resulting swizzle matrix.
Remarks

If you are looking to swizzle vectors there are properties like Zyx that can do this more effectively.

CreateSwizzle(int, int, int, out Matrix3d)

Create a swizzle matrix that can be used to change the row order of matrices.

Declaration
public static void CreateSwizzle(int rowForRow0, int rowForRow1, int rowForRow2, out Matrix3d result)
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.
Matrix3d result

The resulting swizzle matrix.
Remarks

If you are looking to swizzle vectors there are properties like Zyx that can do this more effectively.

Equals(Matrix3d)

Indicates whether the current matrix is equal to another matrix.

Declaration
[Pure]
public readonly bool Equals(Matrix3d other)
Parameters
Type Name Description
Matrix3d other

A 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 to.
Returns
Type Description
bool

True if the instances are equal; false otherwise.
Overrides

ExtractRotation(bool)

Returns the rotation component of this instance. Quite slow.

Declaration
[Pure]
public readonly Quaterniond ExtractRotation(bool rowNormalize = true)
Parameters
Type Name Description
bool rowNormalize

Whether the method should row-normalize (i.e. remove scale from) the Matrix. Pass false if you know it's already normalized.
Returns
Type Description
Quaterniond

The rotation.

ExtractScale()

Returns the scale component of this instance.

Declaration
public readonly Vector3d ExtractScale()
Returns
Type Description
Vector3d

The scale components.

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(Matrix3d)

Calculate the inverse of the given matrix.

Declaration
[Pure]
public static Matrix3d Invert(Matrix3d mat)
Parameters
Type Name Description
Matrix3d mat

The matrix to invert.
Returns
Type Description
Matrix3d

The inverse of the given matrix.
Exceptions
Type Condition
InvalidOperationException

Thrown if the Matrix4 is singular.

Invert(in Matrix3d, out Matrix3d)

Calculate the inverse of the given matrix.

Declaration
public static void Invert(in Matrix3d matrix, out Matrix3d result)
Parameters
Type Name Description
Matrix3d matrix

The matrix to invert.
Matrix3d 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 Matrix3d is singular.

Inverted()

Returns an inverted copy of this instance.

Declaration
public readonly Matrix3d Inverted()
Returns
Type Description
Matrix3d

The inverted copy.
Remarks

If the matrix is singular this function does not throw an exception, instead it returns the original un-inverted matrix.

Mult(Matrix3d, Matrix3d)

Multiplies two instances.

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

The left operand of the multiplication.
Matrix3d right

The right operand of the multiplication.
Returns
Type Description
Matrix3d

A new instance that is the result of the multiplication.

Mult(Matrix3d, Matrix3x2d)

Multiplies two instances.

Declaration
[Pure]
public static Matrix3x2d Mult(Matrix3d left, Matrix3x2d right)
Parameters
Type Name Description
Matrix3d left

The left operand of the multiplication.
Matrix3x2d right

The right operand of the multiplication.
Returns
Type Description
Matrix3x2d

A new instance that is the result of the multiplication.

Mult(Matrix3d, Matrix3x4d)

Multiplies two instances.

Declaration
[Pure]
public static Matrix3x4d Mult(Matrix3d left, Matrix3x4d right)
Parameters
Type Name Description
Matrix3d left

The left operand of the multiplication.
Matrix3x4d right

The right operand of the multiplication.
Returns
Type Description
Matrix3x4d

A new instance that is the result of the multiplication.

Mult(Matrix3d, double)

Multiplies and instance by a scalar.

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

The left operand of the multiplication.
double right

The right operand of the multiplication.
Returns
Type Description
Matrix3d

A new instance that is the result of the multiplication.

Mult(in Matrix3d, in Matrix3d, out Matrix3d)

Multiplies two instances.

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

The left operand of the multiplication.
Matrix3d right

The right operand of the multiplication.
Matrix3d result

A new instance that is the result of the multiplication.

Mult(in Matrix3d, in Matrix3x2d, out Matrix3x2d)

Multiplies two instances.

Declaration
public static void Mult(in Matrix3d left, in Matrix3x2d right, out Matrix3x2d result)
Parameters
Type Name Description
Matrix3d left

The left operand of the multiplication.
Matrix3x2d right

The right operand of the multiplication.
Matrix3x2d result

A new instance that is the result of the multiplication.

Mult(in Matrix3d, in Matrix3x4d, out Matrix3x4d)

Multiplies two instances.

Declaration
public static void Mult(in Matrix3d left, in Matrix3x4d right, out Matrix3x4d result)
Parameters
Type Name Description
Matrix3d left

The left operand of the multiplication.
Matrix3x4d right

The right operand of the multiplication.
Matrix3x4d result

A new instance that is the result of the multiplication.

Mult(in Matrix3d, double, out Matrix3d)

Multiplies an instance by a scalar.

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

The left operand of the multiplication.
double right

The right operand of the multiplication.
Matrix3d result

A new instance that is the result of the multiplication.

Normalize()

Divides each element in the Matrix by the Determinant.

Declaration
public void Normalize()

Normalized()

Returns a normalized copy of this instance.

Declaration
public readonly Matrix3d Normalized()
Returns
Type Description
Matrix3d

The normalized copy.

Subtract(Matrix3d, Matrix3d)

Subtracts two instances.

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

The left operand of the subtraction.
Matrix3d right

The right operand of the subtraction.
Returns
Type Description
Matrix3d

A new instance that is the result of the subtraction.

Subtract(in Matrix3d, in Matrix3d, out Matrix3d)

Subtracts two instances.

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

The left operand of the subtraction.
Matrix3d right

The right operand of the subtraction.
Matrix3d result

A new instance that is the result of the subtraction.

Swizzle(Matrix3d, int, int, int)

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

Declaration
public static Matrix3d Swizzle(Matrix3d mat, int rowForRow0, int rowForRow1, int rowForRow2)
Parameters
Type Name Description
Matrix3d 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.
Returns
Type Description
Matrix3d

The swizzled matrix.
Exceptions
Type Condition
IndexOutOfRangeException

If any of the rows are outside of the range [0, 2].

Swizzle(in Matrix3d, int, int, int, out Matrix3d)

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

Declaration
public static void Swizzle(in Matrix3d mat, int rowForRow0, int rowForRow1, int rowForRow2, out Matrix3d result)
Parameters
Type Name Description
Matrix3d 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.
Matrix3d result

The swizzled matrix.
Exceptions
Type Condition
IndexOutOfRangeException

If any of the rows are outside of the range [0, 2].

Swizzle(int, int, int)

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

Declaration
public void Swizzle(int rowForRow0, int rowForRow1, int rowForRow2)
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.

Swizzled(int, int, int)

Returns a swizzled copy of this instance.

Declaration
public readonly Matrix3d Swizzled(int rowForRow0, int rowForRow1, int rowForRow2)
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.
Returns
Type Description
Matrix3d

The swizzled copy.

ToString()

Returns a System.String that represents the current Matrix3d.

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()

Converts this instance into its transpose.

Declaration
public void Transpose()

Transpose(Matrix3d)

Calculate the transpose of the given matrix.

Declaration
[Pure]
public static Matrix3d Transpose(Matrix3d mat)
Parameters
Type Name Description
Matrix3d mat

The matrix to transpose.
Returns
Type Description
Matrix3d

The transpose of the given matrix.

Transpose(in Matrix3d, out Matrix3d)

Calculate the transpose of the given matrix.

Declaration
public static void Transpose(in Matrix3d mat, out Matrix3d result)
Parameters
Type Name Description
Matrix3d mat

The matrix to transpose.
Matrix3d result

The result of the calculation.

Transposed()

Returns a transposed copy of this instance.

Declaration
public readonly Matrix3d Transposed()
Returns
Type Description
Matrix3d

The transposed copy.

Operators

operator +(Matrix3d, Matrix3d)

Matrix addition.

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

left-hand operand.
Matrix3d right

right-hand operand.
Returns
Type Description
Matrix3d

A new Matrix3d which holds the result of the addition.

operator ==(Matrix3d, Matrix3d)

Compares two instances for equality.

Declaration
[Pure]
public static bool operator ==(Matrix3d left, Matrix3d right)
Parameters
Type Name Description
Matrix3d left

The first instance.
Matrix3d right

The second instance.
Returns
Type Description
bool

True, if left equals right; false otherwise.

operator !=(Matrix3d, Matrix3d)

Compares two instances for inequality.

Declaration
[Pure]
public static bool operator !=(Matrix3d left, Matrix3d right)
Parameters
Type Name Description
Matrix3d left

The first instance.
Matrix3d right

The second instance.
Returns
Type Description
bool

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

operator *(Matrix3d, Matrix3d)

Matrix multiplication.

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

left-hand operand.
Matrix3d right

right-hand operand.
Returns
Type Description
Matrix3d

A new Matrix3d which holds the result of the multiplication.

operator *(Matrix3d, Matrix3x2d)

Matrix multiplication.

Declaration
[Pure]
public static Matrix3x2d operator *(Matrix3d left, Matrix3x2d right)
Parameters
Type Name Description
Matrix3d left

left-hand operand.
Matrix3x2d right

right-hand operand.
Returns
Type Description
Matrix3x2d

A new Matrix3x2d which holds the result of the multiplication.

operator *(Matrix3d, Matrix3x4d)

Matrix multiplication.

Declaration
[Pure]
public static Matrix3x4d operator *(Matrix3d left, Matrix3x4d right)
Parameters
Type Name Description
Matrix3d left

left-hand operand.
Matrix3x4d right

right-hand operand.
Returns
Type Description
Matrix3x4d

A new Matrix3x4d which holds the result of the multiplication.

operator *(Matrix3d, Vector3d)

Transform a Vector by the given Matrix using right-handed notation.

Declaration
[Pure]
public static Vector3d operator *(Matrix3d mat, Vector3d vec)
Parameters
Type Name Description
Matrix3d mat

The desired transformation.
Vector3d vec

The vector to transform.
Returns
Type Description
Vector3d

The transformed vector.

operator *(Matrix3d, double)

Scalar multiplication.

Declaration
[Pure]
public static Matrix3d operator *(Matrix3d left, double right)
Parameters
Type Name Description
Matrix3d left

left-hand operand.
double right

right-hand operand.
Returns
Type Description
Matrix3d

A new Matrix3d which holds the result of the multiplication.

operator *(double, Matrix3d)

Scalar multiplication.

Declaration
[Pure]
public static Matrix3d operator *(double left, Matrix3d right)
Parameters
Type Name Description
double left

left-hand operand.
Matrix3d right

right-hand operand.
Returns
Type Description
Matrix3d

A new Matrix3d which holds the result of the multiplication.

operator -(Matrix3d, Matrix3d)

Matrix subtraction.

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

left-hand operand.
Matrix3d right

right-hand operand.
Returns
Type Description
Matrix3d

A new Matrix3d which holds the result of the subtraction.

Implements