Package org.joml

Class Matrix4x3d

java.lang.Object

org.joml.Matrix4x3d

All Implemented Interfaces:

Externalizable, Serializable, Cloneable, Matrix4x3dc

Direct Known Subclasses:

Matrix4x3dStack

public class Matrix4x3d
extends Object
implements Externalizable, Cloneable, Matrix4x3dc

Contains the definition of an affine 4x3 matrix (4 columns, 3 rows) of doubles, and associated functions to transform it. The matrix is column-major to match OpenGL's interpretation, and it looks like this:

m00 m10 m20 m30
m01 m11 m21 m31
m02 m12 m22 m32

Author:

Richard Greenlees, Kai Burjack

See Also:

• Serialized Form

Field Summary

Fields inherited from interface org.joml.Matrix4x3dc

PLANE_NX, PLANE_NY, PLANE_NZ, PLANE_PX, PLANE_PY, PLANE_PZ, PROPERTY_IDENTITY, PROPERTY_ORTHONORMAL, PROPERTY_TRANSLATION

Constructor Summary

Constructors

Constructor	Description
Matrix4x3d()	Create a new Matrix4x3d and set it to identity.
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)	Create a new 4x4 matrix using the supplied double values.
Matrix4x3d(DoubleBuffer buffer)	Create a new Matrix4x3d by reading its 12 double components from the given DoubleBuffer at the buffer's current position.
Matrix4x3d(Matrix3dc mat)	Create a new Matrix4x3d by setting its left 3x3 submatrix to the values of the given Matrix3dc and the rest to identity.
Matrix4x3d(Matrix3fc mat)	Create a new Matrix4x3d by setting its left 3x3 submatrix to the values of the given Matrix3fc and the rest to identity.
Matrix4x3d(Matrix4x3dc mat)	Create a new Matrix4x3d and make it a copy of the given matrix.
Matrix4x3d(Matrix4x3fc mat)	Create a new Matrix4x3d and make it a copy of the given matrix.

Method Summary

Modifier and Type	Method	Description
Matrix4x3d	add(Matrix4x3dc other)	Component-wise add this and other.
Matrix4x3d	add(Matrix4x3dc other, Matrix4x3d dest)	Component-wise add this and other and store the result in dest.
Matrix4x3d	add(Matrix4x3fc other)	Component-wise add this and other.
Matrix4x3d	add(Matrix4x3fc other, Matrix4x3d dest)	Component-wise add this and other and store the result in dest.
Matrix4x3d	arcball(double radius, double centerX, double centerY, double centerZ, double angleX, double angleY)	Apply an arcball view transformation to this matrix with the given radius and center (centerX, centerY, centerZ) position of the arcball and the specified X and Y rotation angles.
Matrix4x3d	arcball(double radius, double centerX, double centerY, double centerZ, double angleX, double angleY, Matrix4x3d dest)	Apply an arcball view transformation to this matrix with the given radius and center (centerX, centerY, centerZ) position of the arcball and the specified X and Y rotation angles, and store the result in dest.
Matrix4x3d	arcball(double radius, Vector3dc center, double angleX, double angleY)	Apply an arcball view transformation to this matrix with the given radius and center position of the arcball and the specified X and Y rotation angles.
Matrix4x3d	arcball(double radius, Vector3dc center, double angleX, double angleY, Matrix4x3d dest)	Apply an arcball view transformation to this matrix with the given radius and center position of the arcball and the specified X and Y rotation angles, and store the result in dest.
Matrix4x3d	assume(int properties)	Assume the given properties about this matrix.
Matrix4x3d	billboardCylindrical(Vector3dc objPos, Vector3dc targetPos, Vector3dc up)	Set this matrix to a cylindrical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos while constraining a cylindrical rotation around the given up vector.
Matrix4x3d	billboardSpherical(Vector3dc objPos, Vector3dc targetPos)	Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos using a shortest arc rotation by not preserving any up vector of the object.
Matrix4x3d	billboardSpherical(Vector3dc objPos, Vector3dc targetPos, Vector3dc up)	Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos.
Object	clone()
Matrix4x3d	cofactor3x3()	Compute the cofactor matrix of the left 3x3 submatrix of this.
Matrix3d	cofactor3x3(Matrix3d dest)	Compute the cofactor matrix of the left 3x3 submatrix of this and store it into dest.
Matrix4x3d	cofactor3x3(Matrix4x3d dest)	Compute the cofactor matrix of the left 3x3 submatrix of this and store it into dest.
double	determinant()	Return the determinant of this matrix.
Matrix4x3d	determineProperties()	Compute and set the matrix properties returned by properties() based on the current matrix element values.
boolean	equals(Object obj)
boolean	equals(Matrix4x3dc m, double delta)	Compare the matrix elements of this matrix with the given matrix using the given delta and return whether all of them are equal within a maximum difference of delta.
Matrix4x3d	fma(Matrix4x3dc other, double otherFactor)	Component-wise add this and other by first multiplying each component of other by otherFactor and adding that result to this.
Matrix4x3d	fma(Matrix4x3dc other, double otherFactor, Matrix4x3d dest)	Component-wise add this and other by first multiplying each component of other by otherFactor, adding that to this and storing the final result in dest.
Matrix4x3d	fma(Matrix4x3fc other, double otherFactor)	Component-wise add this and other by first multiplying each component of other by otherFactor and adding that result to this.
Matrix4x3d	fma(Matrix4x3fc other, double otherFactor, Matrix4x3d dest)	Component-wise add this and other by first multiplying each component of other by otherFactor, adding that to this and storing the final result in dest.
Vector4d	frustumPlane(int which, Vector4d dest)	Calculate a frustum plane of this matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given dest.
double[]	get(double[] arr)	Store this matrix into the supplied double array in column-major order.
double[]	get(double[] arr, int offset)	Store this matrix into the supplied double array in column-major order at the given offset.
float[]	get(float[] arr)	Store the elements of this matrix as float values in column-major order into the supplied float array.
float[]	get(float[] arr, int offset)	Store the elements of this matrix as float values in column-major order into the supplied float array at the given offset.
ByteBuffer	get(int index, ByteBuffer buffer)	Store this matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
DoubleBuffer	get(int index, DoubleBuffer buffer)	Store this matrix in column-major order into the supplied DoubleBuffer starting at the specified absolute buffer position/index.
FloatBuffer	get(int index, FloatBuffer buffer)	Store this matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.
ByteBuffer	get(ByteBuffer buffer)	Store this matrix in column-major order into the supplied ByteBuffer at the current buffer position.
DoubleBuffer	get(DoubleBuffer buffer)	Store this matrix in column-major order into the supplied DoubleBuffer at the current buffer position.
FloatBuffer	get(FloatBuffer buffer)	Store this matrix in column-major order into the supplied FloatBuffer at the current buffer position.
Matrix4d	get(Matrix4d dest)	Get the current values of this matrix and store them into the upper 4x3 submatrix of dest.
Matrix4x3d	get(Matrix4x3d dest)	Get the current values of this matrix and store them into dest.
double[]	get4x4(double[] arr)	Store a 4x4 matrix in column-major order into the supplied array, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
double[]	get4x4(double[] arr, int offset)	Store a 4x4 matrix in column-major order into the supplied array at the given offset, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
float[]	get4x4(float[] arr)	Store a 4x4 matrix in column-major order into the supplied array, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
float[]	get4x4(float[] arr, int offset)	Store a 4x4 matrix in column-major order into the supplied array at the given offset, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
ByteBuffer	get4x4(int index, ByteBuffer buffer)	Store a 4x4 matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
DoubleBuffer	get4x4(int index, DoubleBuffer buffer)	Store a 4x4 matrix in column-major order into the supplied DoubleBuffer starting at the specified absolute buffer position/index, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
ByteBuffer	get4x4(ByteBuffer buffer)	Store a 4x4 matrix in column-major order into the supplied ByteBuffer at the current buffer position, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
DoubleBuffer	get4x4(DoubleBuffer buffer)	Store a 4x4 matrix in column-major order into the supplied DoubleBuffer at the current buffer position, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).
Vector3d	getColumn(int column, Vector3d dest)	Get the column at the given column index, starting with 0.
Vector3d	getEulerAnglesXYZ(Vector3d dest)	Extract the Euler angles from the rotation represented by the left 3x3 submatrix of this and store the extracted Euler angles in dest.
Vector3d	getEulerAnglesZYX(Vector3d dest)	Extract the Euler angles from the rotation represented by the left 3x3 submatrix of this and store the extracted Euler angles in dest.
ByteBuffer	getFloats(int index, ByteBuffer buffer)	Store the elements of this matrix as float values in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
ByteBuffer	getFloats(ByteBuffer buffer)	Store the elements of this matrix as float values in column-major order into the supplied ByteBuffer at the current buffer position.
Quaterniond	getNormalizedRotation(Quaterniond dest)	Get the current values of this matrix and store the represented rotation into the given Quaterniond.
Quaternionf	getNormalizedRotation(Quaternionf dest)	Get the current values of this matrix and store the represented rotation into the given Quaternionf.
Vector4d	getRow(int row, Vector4d dest)	Get the row at the given row index, starting with 0.
Vector3d	getScale(Vector3d dest)	Get the scaling factors of this matrix for the three base axes.
Matrix4x3dc	getToAddress(long address)	Store this matrix in column-major order at the given off-heap address.
Vector3d	getTranslation(Vector3d dest)	Get only the translation components (m30, m31, m32) of this matrix and store them in the given vector xyz.
double[]	getTransposed(double[] arr)	Store this matrix into the supplied float array in row-major order.
double[]	getTransposed(double[] arr, int offset)	Store this matrix into the supplied float array in row-major order at the given offset.
ByteBuffer	getTransposed(int index, ByteBuffer buffer)	Store this matrix in row-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
DoubleBuffer	getTransposed(int index, DoubleBuffer buffer)	Store this matrix in row-major order into the supplied DoubleBuffer starting at the specified absolute buffer position/index.
FloatBuffer	getTransposed(int index, FloatBuffer buffer)	Store this matrix in row-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.
ByteBuffer	getTransposed(ByteBuffer buffer)	Store this matrix in row-major order into the supplied ByteBuffer at the current buffer position.
DoubleBuffer	getTransposed(DoubleBuffer buffer)	Store this matrix in row-major order into the supplied DoubleBuffer at the current buffer position.
FloatBuffer	getTransposed(FloatBuffer buffer)	Store this matrix in row-major order into the supplied FloatBuffer at the current buffer position.
ByteBuffer	getTransposedFloats(int index, ByteBuffer buffer)	Store this matrix in row-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
ByteBuffer	getTransposedFloats(ByteBuffer buffer)	Store this matrix as float values in row-major order into the supplied ByteBuffer at the current buffer position.
Quaterniond	getUnnormalizedRotation(Quaterniond dest)	Get the current values of this matrix and store the represented rotation into the given Quaterniond.
Quaternionf	getUnnormalizedRotation(Quaternionf dest)	Get the current values of this matrix and store the represented rotation into the given Quaternionf.
int	hashCode()
Matrix4x3d	identity()	Reset this matrix to the identity.
Matrix4x3d	invert()	Invert this matrix.
Matrix4x3d	invert(Matrix4x3d dest)	Invert this matrix and store the result in dest.
Matrix4x3d	invertOrtho()	Invert this orthographic projection matrix.
Matrix4x3d	invertOrtho(Matrix4x3d dest)	Invert this orthographic projection matrix and store the result into the given dest.
boolean	isFinite()	Determine whether all matrix elements are finite floating-point values, that is, they are not NaN and not infinity.
Matrix4x3d	lerp(Matrix4x3dc other, double t)	Linearly interpolate this and other using the given interpolation factor t and store the result in this.
Matrix4x3d	lerp(Matrix4x3dc other, double t, Matrix4x3d dest)	Linearly interpolate this and other using the given interpolation factor t and store the result in dest.
Matrix4x3d	lookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ)	Apply a rotation transformation to this matrix to make -z point along dir.
Matrix4x3d	lookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ, Matrix4x3d dest)	Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.
Matrix4x3d	lookAlong(Vector3dc dir, Vector3dc up)	Apply a rotation transformation to this matrix to make -z point along dir.
Matrix4x3d	lookAlong(Vector3dc dir, Vector3dc up, Matrix4x3d dest)	Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.
Matrix4x3d	lookAt(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ)	Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye.
Matrix4x3d	lookAt(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ, Matrix4x3d dest)	Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.
Matrix4x3d	lookAt(Vector3dc eye, Vector3dc center, Vector3dc up)	Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye.
Matrix4x3d	lookAt(Vector3dc eye, Vector3dc center, Vector3dc up, Matrix4x3d dest)	Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.
Matrix4x3d	lookAtLH(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ)	Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye.
Matrix4x3d	lookAtLH(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ, Matrix4x3d dest)	Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye and store the result in dest.
Matrix4x3d	lookAtLH(Vector3dc eye, Vector3dc center, Vector3dc up)	Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye.
Matrix4x3d	lookAtLH(Vector3dc eye, Vector3dc center, Vector3dc up, Matrix4x3d dest)	Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye and store the result in dest.
double	m00()	Return the value of the matrix element at column 0 and row 0.
Matrix4x3d	m00(double m00)	Set the value of the matrix element at column 0 and row 0.
double	m01()	Return the value of the matrix element at column 0 and row 1.
Matrix4x3d	m01(double m01)	Set the value of the matrix element at column 0 and row 1.
double	m02()	Return the value of the matrix element at column 0 and row 2.
Matrix4x3d	m02(double m02)	Set the value of the matrix element at column 0 and row 2.
double	m10()	Return the value of the matrix element at column 1 and row 0.
Matrix4x3d	m10(double m10)	Set the value of the matrix element at column 1 and row 0.
double	m11()	Return the value of the matrix element at column 1 and row 1.
Matrix4x3d	m11(double m11)	Set the value of the matrix element at column 1 and row 1.
double	m12()	Return the value of the matrix element at column 1 and row 2.
Matrix4x3d	m12(double m12)	Set the value of the matrix element at column 1 and row 2.
double	m20()	Return the value of the matrix element at column 2 and row 0.
Matrix4x3d	m20(double m20)	Set the value of the matrix element at column 2 and row 0.
double	m21()	Return the value of the matrix element at column 2 and row 1.
Matrix4x3d	m21(double m21)	Set the value of the matrix element at column 2 and row 1.
double	m22()	Return the value of the matrix element at column 2 and row 2.
Matrix4x3d	m22(double m22)	Set the value of the matrix element at column 2 and row 2.
double	m30()	Return the value of the matrix element at column 3 and row 0.
Matrix4x3d	m30(double m30)	Set the value of the matrix element at column 3 and row 0.
double	m31()	Return the value of the matrix element at column 3 and row 1.
Matrix4x3d	m31(double m31)	Set the value of the matrix element at column 3 and row 1.
double	m32()	Return the value of the matrix element at column 3 and row 2.
Matrix4x3d	m32(double m32)	Set the value of the matrix element at column 3 and row 2.
Matrix4x3d	mapnXnYnZ()	Multiply this by the matrix
Matrix4x3d	mapnXnYnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnXnYZ()	Multiply this by the matrix
Matrix4x3d	mapnXnYZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnXnZnY()	Multiply this by the matrix
Matrix4x3d	mapnXnZnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnXnZY()	Multiply this by the matrix
Matrix4x3d	mapnXnZY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnXYnZ()	Multiply this by the matrix
Matrix4x3d	mapnXYnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnXZnY()	Multiply this by the matrix
Matrix4x3d	mapnXZnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnXZY()	Multiply this by the matrix
Matrix4x3d	mapnXZY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYnXnZ()	Multiply this by the matrix
Matrix4x3d	mapnYnXnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYnXZ()	Multiply this by the matrix
Matrix4x3d	mapnYnXZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYnZnX()	Multiply this by the matrix
Matrix4x3d	mapnYnZnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYnZX()	Multiply this by the matrix
Matrix4x3d	mapnYnZX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYXnZ()	Multiply this by the matrix
Matrix4x3d	mapnYXnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYXZ()	Multiply this by the matrix
Matrix4x3d	mapnYXZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYZnX()	Multiply this by the matrix
Matrix4x3d	mapnYZnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYZX()	Multiply this by the matrix
Matrix4x3d	mapnYZX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZnXnY()	Multiply this by the matrix
Matrix4x3d	mapnZnXnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZnXY()	Multiply this by the matrix
Matrix4x3d	mapnZnXY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZnYnX()	Multiply this by the matrix
Matrix4x3d	mapnZnYnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZnYX()	Multiply this by the matrix
Matrix4x3d	mapnZnYX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZXnY()	Multiply this by the matrix
Matrix4x3d	mapnZXnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZXY()	Multiply this by the matrix
Matrix4x3d	mapnZXY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZYnX()	Multiply this by the matrix
Matrix4x3d	mapnZYnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZYX()	Multiply this by the matrix
Matrix4x3d	mapnZYX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapXnYnZ()	Multiply this by the matrix
Matrix4x3d	mapXnYnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapXnZnY()	Multiply this by the matrix
Matrix4x3d	mapXnZnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapXnZY()	Multiply this by the matrix
Matrix4x3d	mapXnZY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapXZnY()	Multiply this by the matrix
Matrix4x3d	mapXZnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapXZY()	Multiply this by the matrix
Matrix4x3d	mapXZY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYnXnZ()	Multiply this by the matrix
Matrix4x3d	mapYnXnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYnXZ()	Multiply this by the matrix
Matrix4x3d	mapYnXZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYnZnX()	Multiply this by the matrix
Matrix4x3d	mapYnZnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYnZX()	Multiply this by the matrix
Matrix4x3d	mapYnZX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYXnZ()	Multiply this by the matrix
Matrix4x3d	mapYXnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYXZ()	Multiply this by the matrix
Matrix4x3d	mapYXZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYZnX()	Multiply this by the matrix
Matrix4x3d	mapYZnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYZX()	Multiply this by the matrix
Matrix4x3d	mapYZX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZnXnY()	Multiply this by the matrix
Matrix4x3d	mapZnXnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZnXY()	Multiply this by the matrix
Matrix4x3d	mapZnXY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZnYnX()	Multiply this by the matrix
Matrix4x3d	mapZnYnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZnYX()	Multiply this by the matrix
Matrix4x3d	mapZnYX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZXnY()	Multiply this by the matrix
Matrix4x3d	mapZXnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZXY()	Multiply this by the matrix
Matrix4x3d	mapZXY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZYnX()	Multiply this by the matrix
Matrix4x3d	mapZYnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZYX()	Multiply this by the matrix
Matrix4x3d	mapZYX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mul(Matrix4x3dc right)	Multiply this matrix by the supplied right matrix.
Matrix4x3d	mul(Matrix4x3dc right, Matrix4x3d dest)	Multiply this matrix by the supplied right matrix and store the result in dest.
Matrix4x3d	mul(Matrix4x3fc right)	Multiply this matrix by the supplied right matrix.
Matrix4x3d	mul(Matrix4x3fc right, Matrix4x3d dest)	Multiply this matrix by the supplied right matrix and store the result in dest.
Matrix4x3d	mul3x3(double rm00, double rm01, double rm02, double rm10, double rm11, double rm12, double rm20, double rm21, double rm22)	Multiply this by the 4x3 matrix with the column vectors (rm00, rm01, rm02), (rm10, rm11, rm12), (rm20, rm21, rm22) and (0, 0, 0).
Matrix4x3d	mul3x3(double rm00, double rm01, double rm02, double rm10, double rm11, double rm12, double rm20, double rm21, double rm22, Matrix4x3d dest)	Multiply this by the 4x3 matrix with the column vectors (rm00, rm01, rm02), (rm10, rm11, rm12), (rm20, rm21, rm22) and (0, 0, 0) and store the result in dest.
Matrix4x3d	mulComponentWise(Matrix4x3dc other)	Component-wise multiply this by other.
Matrix4x3d	mulComponentWise(Matrix4x3dc other, Matrix4x3d dest)	Component-wise multiply this by other and store the result in dest.
Matrix4x3d	mulOrtho(Matrix4x3dc view)	Multiply this orthographic projection matrix by the supplied view matrix.
Matrix4x3d	mulOrtho(Matrix4x3dc view, Matrix4x3d dest)	Multiply this orthographic projection matrix by the supplied view matrix and store the result in dest.
Matrix4x3d	mulTranslation(Matrix4x3dc right, Matrix4x3d dest)	Multiply this matrix, which is assumed to only contain a translation, by the supplied right matrix and store the result in dest.
Matrix4x3d	mulTranslation(Matrix4x3fc right, Matrix4x3d dest)	Multiply this matrix, which is assumed to only contain a translation, by the supplied right matrix and store the result in dest.
Matrix4x3d	negateX()	Multiply this by the matrix
Matrix4x3d	negateX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	negateY()	Multiply this by the matrix
Matrix4x3d	negateY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	negateZ()	Multiply this by the matrix
Matrix4x3d	negateZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	normal()	Compute a normal matrix from the left 3x3 submatrix of this and store it into the left 3x3 submatrix of this.
Matrix3d	normal(Matrix3d dest)	Compute a normal matrix from the left 3x3 submatrix of this and store it into dest.
Matrix4x3d	normal(Matrix4x3d dest)	Compute a normal matrix from the left 3x3 submatrix of this and store it into the left 3x3 submatrix of dest.
Matrix4x3d	normalize3x3()	Normalize the left 3x3 submatrix of this matrix.
Matrix3d	normalize3x3(Matrix3d dest)	Normalize the left 3x3 submatrix of this matrix and store the result in dest.
Matrix4x3d	normalize3x3(Matrix4x3d dest)	Normalize the left 3x3 submatrix of this matrix and store the result in dest.
Vector3d	normalizedPositiveX(Vector3d dir)	Obtain the direction of +X before the transformation represented by this orthogonal matrix is applied.
Vector3d	normalizedPositiveY(Vector3d dir)	Obtain the direction of +Y before the transformation represented by this orthogonal matrix is applied.
Vector3d	normalizedPositiveZ(Vector3d dir)	Obtain the direction of +Z before the transformation represented by this orthogonal matrix is applied.
Matrix4x3d	obliqueZ(double a, double b)	Apply an oblique projection transformation to this matrix with the given values for a and b.
Matrix4x3d	obliqueZ(double a, double b, Matrix4x3d dest)	Apply an oblique projection transformation to this matrix with the given values for a and b and store the result in dest.
Vector3d	origin(Vector3d origin)	Obtain the position that gets transformed to the origin by this matrix.
Matrix4x3d	ortho(double left, double right, double bottom, double top, double zNear, double zFar)	Apply an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4x3d	ortho(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)	Apply an orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix.
Matrix4x3d	ortho(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne, Matrix4x3d dest)	Apply an orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4x3d	ortho(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4x3d dest)	Apply an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
Matrix4x3d	ortho2D(double left, double right, double bottom, double top)	Apply an orthographic projection transformation for a right-handed coordinate system to this matrix.
Matrix4x3d	ortho2D(double left, double right, double bottom, double top, Matrix4x3d dest)	Apply an orthographic projection transformation for a right-handed coordinate system to this matrix and store the result in dest.
Matrix4x3d	ortho2DLH(double left, double right, double bottom, double top)	Apply an orthographic projection transformation for a left-handed coordinate system to this matrix.
Matrix4x3d	ortho2DLH(double left, double right, double bottom, double top, Matrix4x3d dest)	Apply an orthographic projection transformation for a left-handed coordinate system to this matrix and store the result in dest.
Matrix4x3d	orthoLH(double left, double right, double bottom, double top, double zNear, double zFar)	Apply an orthographic projection transformation for a left-handed coordiante system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4x3d	orthoLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)	Apply an orthographic projection transformation for a left-handed coordiante system using the given NDC z range to this matrix.
Matrix4x3d	orthoLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne, Matrix4x3d dest)	Apply an orthographic projection transformation for a left-handed coordiante system using the given NDC z range to this matrix and store the result in dest.
Matrix4x3d	orthoLH(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4x3d dest)	Apply an orthographic projection transformation for a left-handed coordiante system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
Matrix4x3d	orthoSymmetric(double width, double height, double zNear, double zFar)	Apply a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4x3d	orthoSymmetric(double width, double height, double zNear, double zFar, boolean zZeroToOne)	Apply a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix.
Matrix4x3d	orthoSymmetric(double width, double height, double zNear, double zFar, boolean zZeroToOne, Matrix4x3d dest)	Apply a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4x3d	orthoSymmetric(double width, double height, double zNear, double zFar, Matrix4x3d dest)	Apply a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
Matrix4x3d	orthoSymmetricLH(double width, double height, double zNear, double zFar)	Apply a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
Matrix4x3d	orthoSymmetricLH(double width, double height, double zNear, double zFar, boolean zZeroToOne)	Apply a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range to this matrix.
Matrix4x3d	orthoSymmetricLH(double width, double height, double zNear, double zFar, boolean zZeroToOne, Matrix4x3d dest)	Apply a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
Matrix4x3d	orthoSymmetricLH(double width, double height, double zNear, double zFar, Matrix4x3d dest)	Apply a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
Matrix4x3d	pick(double x, double y, double width, double height, int[] viewport)	Apply a picking transformation to this matrix using the given window coordinates (x, y) as the pick center and the given (width, height) as the size of the picking region in window coordinates.
Matrix4x3d	pick(double x, double y, double width, double height, int[] viewport, Matrix4x3d dest)	Apply a picking transformation to this matrix using the given window coordinates (x, y) as the pick center and the given (width, height) as the size of the picking region in window coordinates, and store the result in dest.
Vector3d	positiveX(Vector3d dir)	Obtain the direction of +X before the transformation represented by this matrix is applied.
Vector3d	positiveY(Vector3d dir)	Obtain the direction of +Y before the transformation represented by this matrix is applied.
Vector3d	positiveZ(Vector3d dir)	Obtain the direction of +Z before the transformation represented by this matrix is applied.
int	properties()
void	readExternal(ObjectInput in)
Matrix4x3d	reflect(double a, double b, double c, double d)	Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0.
Matrix4x3d	reflect(double nx, double ny, double nz, double px, double py, double pz)	Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.
Matrix4x3d	reflect(double nx, double ny, double nz, double px, double py, double pz, Matrix4x3d dest)	Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in dest.
Matrix4x3d	reflect(double a, double b, double c, double d, Matrix4x3d dest)	Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0 and store the result in dest.
Matrix4x3d	reflect(Quaterniondc orientation, Vector3dc point)	Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane.
Matrix4x3d	reflect(Quaterniondc orientation, Vector3dc point, Matrix4x3d dest)	Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane, and store the result in dest.
Matrix4x3d	reflect(Vector3dc normal, Vector3dc point)	Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.
Matrix4x3d	reflect(Vector3dc normal, Vector3dc point, Matrix4x3d dest)	Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in dest.
Matrix4x3d	reflection(double a, double b, double c, double d)	Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0.
Matrix4x3d	reflection(double nx, double ny, double nz, double px, double py, double pz)	Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.
Matrix4x3d	reflection(Quaterniondc orientation, Vector3dc point)	Set this matrix to a mirror/reflection transformation that reflects about a plane specified via the plane orientation and a point on the plane.
Matrix4x3d	reflection(Vector3dc normal, Vector3dc point)	Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.
Matrix4x3d	rotate(double ang, double x, double y, double z)	Apply rotation to this matrix by rotating the given amount of radians about the given axis specified as x, y and z components.
Matrix4x3d	rotate(double ang, double x, double y, double z, Matrix4x3d dest)	Apply rotation to this matrix by rotating the given amount of radians about the given axis specified as x, y and z components and store the result in dest.
Matrix4x3d	rotate(double angle, Vector3dc axis)	Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.
Matrix4x3d	rotate(double angle, Vector3dc axis, Matrix4x3d dest)	Apply a rotation transformation, rotating the given radians about the specified axis and store the result in dest.
Matrix4x3d	rotate(double angle, Vector3fc axis)	Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.
Matrix4x3d	rotate(double angle, Vector3fc axis, Matrix4x3d dest)	Apply a rotation transformation, rotating the given radians about the specified axis and store the result in dest.
Matrix4x3d	rotate(AxisAngle4d axisAngle)	Apply a rotation transformation, rotating about the given AxisAngle4d, to this matrix.
Matrix4x3d	rotate(AxisAngle4d axisAngle, Matrix4x3d dest)	Apply a rotation transformation, rotating about the given AxisAngle4d and store the result in dest.
Matrix4x3d	rotate(AxisAngle4f axisAngle)	Apply a rotation transformation, rotating about the given AxisAngle4f, to this matrix.
Matrix4x3d	rotate(AxisAngle4f axisAngle, Matrix4x3d dest)	Apply a rotation transformation, rotating about the given AxisAngle4f and store the result in dest.
Matrix4x3d	rotate(Quaterniondc quat)	Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix.
Matrix4x3d	rotate(Quaterniondc quat, Matrix4x3d dest)	Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix and store the result in dest.
Matrix4x3d	rotate(Quaternionfc quat)	Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix.
Matrix4x3d	rotate(Quaternionfc quat, Matrix4x3d dest)	Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix and store the result in dest.
Matrix4x3d	rotateAround(Quaterniondc quat, double ox, double oy, double oz)	Apply the rotation transformation of the given Quaterniondc to this matrix while using (ox, oy, oz) as the rotation origin.
Matrix4x3d	rotateAround(Quaterniondc quat, double ox, double oy, double oz, Matrix4x3d dest)	Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix while using (ox, oy, oz) as the rotation origin, and store the result in dest.
Matrix4x3d	rotateLocal(double ang, double x, double y, double z)	Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis.
Matrix4x3d	rotateLocal(double ang, double x, double y, double z, Matrix4x3d dest)	Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.
Matrix4x3d	rotateLocal(Quaterniondc quat)	Pre-multiply the rotation transformation of the given Quaterniondc to this matrix.
Matrix4x3d	rotateLocal(Quaterniondc quat, Matrix4x3d dest)	Pre-multiply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix and store the result in dest.
Matrix4x3d	rotateLocal(Quaternionfc quat)	Pre-multiply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix.
Matrix4x3d	rotateLocal(Quaternionfc quat, Matrix4x3d dest)	Pre-multiply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix and store the result in dest.
Matrix4x3d	rotateLocalX(double ang)	Pre-multiply a rotation to this matrix by rotating the given amount of radians about the X axis.
Matrix4x3d	rotateLocalX(double ang, Matrix4x3d dest)	Pre-multiply a rotation around the X axis to this matrix by rotating the given amount of radians about the X axis and store the result in dest.
Matrix4x3d	rotateLocalY(double ang)	Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Y axis.
Matrix4x3d	rotateLocalY(double ang, Matrix4x3d dest)	Pre-multiply a rotation around the Y axis to this matrix by rotating the given amount of radians about the Y axis and store the result in dest.
Matrix4x3d	rotateLocalZ(double ang)	Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Z axis.
Matrix4x3d	rotateLocalZ(double ang, Matrix4x3d dest)	Pre-multiply a rotation around the Z axis to this matrix by rotating the given amount of radians about the Z axis and store the result in dest.
Matrix4x3d	rotateTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ)	Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with (dirX, dirY, dirZ).
Matrix4x3d	rotateTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ, Matrix4x3d dest)	Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with (dirX, dirY, dirZ) and store the result in dest.
Matrix4x3d	rotateTowards(Vector3dc dir, Vector3dc up)	Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with dir.
Matrix4x3d	rotateTowards(Vector3dc dir, Vector3dc up, Matrix4x3d dest)	Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with dir and store the result in dest.
Matrix4x3d	rotateTranslation(double ang, double x, double y, double z, Matrix4x3d dest)	Apply rotation to this matrix, which is assumed to only contain a translation, by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.
Matrix4x3d	rotateTranslation(Quaterniondc quat, Matrix4x3d dest)	Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix, which is assumed to only contain a translation, and store the result in dest.
Matrix4x3d	rotateTranslation(Quaternionfc quat, Matrix4x3d dest)	Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix, which is assumed to only contain a translation, and store the result in dest.
Matrix4x3d	rotateX(double ang)	Apply rotation about the X axis to this matrix by rotating the given amount of radians.
Matrix4x3d	rotateX(double ang, Matrix4x3d dest)	Apply rotation about the X axis to this matrix by rotating the given amount of radians and store the result in dest.
Matrix4x3d	rotateXYZ(double angleX, double angleY, double angleZ)	Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4x3d	rotateXYZ(double angleX, double angleY, double angleZ, Matrix4x3d dest)	Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
Matrix4x3d	rotateXYZ(Vector3d angles)	Apply rotation of angles.x radians about the X axis, followed by a rotation of angles.y radians about the Y axis and followed by a rotation of angles.z radians about the Z axis.
Matrix4x3d	rotateY(double ang)	Apply rotation about the Y axis to this matrix by rotating the given amount of radians.
Matrix4x3d	rotateY(double ang, Matrix4x3d dest)	Apply rotation about the Y axis to this matrix by rotating the given amount of radians and store the result in dest.
Matrix4x3d	rotateYXZ(double angleY, double angleX, double angleZ)	Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4x3d	rotateYXZ(double angleY, double angleX, double angleZ, Matrix4x3d dest)	Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
Matrix4x3d	rotateYXZ(Vector3d angles)	Apply rotation of angles.y radians about the Y axis, followed by a rotation of angles.x radians about the X axis and followed by a rotation of angles.z radians about the Z axis.
Matrix4x3d	rotateZ(double ang)	Apply rotation about the Z axis to this matrix by rotating the given amount of radians.
Matrix4x3d	rotateZ(double ang, Matrix4x3d dest)	Apply rotation about the Z axis to this matrix by rotating the given amount of radians and store the result in dest.
Matrix4x3d	rotateZYX(double angleZ, double angleY, double angleX)	Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
Matrix4x3d	rotateZYX(double angleZ, double angleY, double angleX, Matrix4x3d dest)	Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis and store the result in dest.
Matrix4x3d	rotateZYX(Vector3d angles)	Apply rotation of angles.z radians about the Z axis, followed by a rotation of angles.y radians about the Y axis and followed by a rotation of angles.x radians about the X axis.
Matrix4x3d	rotation(double angle, double x, double y, double z)	Set this matrix to a rotation matrix which rotates the given radians about a given axis.
Matrix4x3d	rotation(double angle, Vector3dc axis)	Set this matrix to a rotation matrix which rotates the given radians about a given axis.
Matrix4x3d	rotation(double angle, Vector3fc axis)	Set this matrix to a rotation matrix which rotates the given radians about a given axis.
Matrix4x3d	rotation(AxisAngle4d angleAxis)	Set this matrix to a rotation transformation using the given AxisAngle4d.
Matrix4x3d	rotation(AxisAngle4f angleAxis)	Set this matrix to a rotation transformation using the given AxisAngle4f.
Matrix4x3d	rotation(Quaterniondc quat)	Set this matrix to the rotation - and possibly scaling - transformation of the given Quaterniondc.
Matrix4x3d	rotation(Quaternionfc quat)	Set this matrix to the rotation - and possibly scaling - transformation of the given Quaternionfc.
Matrix4x3d	rotationAround(Quaterniondc quat, double ox, double oy, double oz)	Set this matrix to a transformation composed of a rotation of the specified Quaterniondc while using (ox, oy, oz) as the rotation origin.
Matrix4x3d	rotationTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ)	Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local -z axis with (dirX, dirY, dirZ).
Matrix4x3d	rotationTowards(Vector3dc dir, Vector3dc up)	Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local -z axis with dir.
Matrix4x3d	rotationX(double ang)	Set this matrix to a rotation transformation about the X axis.
Matrix4x3d	rotationXYZ(double angleX, double angleY, double angleZ)	Set this matrix to a rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4x3d	rotationY(double ang)	Set this matrix to a rotation transformation about the Y axis.
Matrix4x3d	rotationYXZ(double angleY, double angleX, double angleZ)	Set this matrix to a rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4x3d	rotationZ(double ang)	Set this matrix to a rotation transformation about the Z axis.
Matrix4x3d	rotationZYX(double angleZ, double angleY, double angleX)	Set this matrix to a rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
Matrix4x3d	scale(double xyz)	Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor.
Matrix4x3d	scale(double x, double y, double z)	Apply scaling to this matrix by scaling the base axes by the given x, y and z factors.
Matrix4x3d	scale(double x, double y, double z, Matrix4x3d dest)	Apply scaling to this matrix by scaling the base axes by the given x, y and z factors and store the result in dest.
Matrix4x3d	scale(double xyz, Matrix4x3d dest)	Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor and store the result in dest.
Matrix4x3d	scale(Vector3dc xyz)	Apply scaling to this matrix by scaling the base axes by the given xyz.x, xyz.y and xyz.z factors, respectively.
Matrix4x3d	scale(Vector3dc xyz, Matrix4x3d dest)	Apply scaling to this matrix by scaling the base axes by the given xyz.x, xyz.y and xyz.z factors, respectively and store the result in dest.
Matrix4x3d	scaleAround(double factor, double ox, double oy, double oz)	Apply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin.
Matrix4x3d	scaleAround(double sx, double sy, double sz, double ox, double oy, double oz)	Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using (ox, oy, oz) as the scaling origin.
Matrix4x3d	scaleAround(double sx, double sy, double sz, double ox, double oy, double oz, Matrix4x3d dest)	Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using (ox, oy, oz) as the scaling origin, and store the result in dest.
Matrix4x3d	scaleAround(double factor, double ox, double oy, double oz, Matrix4x3d dest)	Apply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin, and store the result in dest.
Matrix4x3d	scaleLocal(double x, double y, double z)	Pre-multiply scaling to this matrix by scaling the base axes by the given x, y and z factors.
Matrix4x3d	scaleLocal(double x, double y, double z, Matrix4x3d dest)	Pre-multiply scaling to this matrix by scaling the base axes by the given x, y and z factors and store the result in dest.
Matrix4x3d	scaleXY(double x, double y)	Apply scaling to this matrix by scaling the X axis by x and the Y axis by y.
Matrix4x3d	scaleXY(double x, double y, Matrix4x3d dest)	Apply scaling to this matrix by by scaling the X axis by x and the Y axis by y and store the result in dest.
Matrix4x3d	scaling(double factor)	Set this matrix to be a simple scale matrix, which scales all axes uniformly by the given factor.
Matrix4x3d	scaling(double x, double y, double z)	Set this matrix to be a simple scale matrix.
Matrix4x3d	scaling(Vector3dc xyz)	Set this matrix to be a simple scale matrix which scales the base axes by xyz.x, xyz.y and xyz.z, respectively.
Matrix4x3d	set(double[] m)	Set the values in the matrix using a double array that contains the matrix elements in column-major order.
Matrix4x3d	set(double[] m, int off)	Set the values in the matrix using a double array that contains the matrix elements in column-major order.
Matrix4x3d	set(double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22, double m30, double m31, double m32)	Set the values within this matrix to the supplied double values.
Matrix4x3d	set(float[] m)	Set the values in the matrix using a float array that contains the matrix elements in column-major order.
Matrix4x3d	set(float[] m, int off)	Set the values in the matrix using a float array that contains the matrix elements in column-major order.
Matrix4x3d	set(int index, ByteBuffer buffer)	Set the values of this matrix by reading 12 double values from the given ByteBuffer in column-major order, starting at the specified absolute buffer position/index.
Matrix4x3d	set(int index, DoubleBuffer buffer)	Set the values of this matrix by reading 12 double values from the given DoubleBuffer in column-major order, starting at the specified absolute buffer position/index.
Matrix4x3d	set(int index, FloatBuffer buffer)	Set the values of this matrix by reading 12 float values from the given FloatBuffer in column-major order, starting at the specified absolute buffer position/index.
Matrix4x3d	set(ByteBuffer buffer)	Set the values of this matrix by reading 12 double values from the given ByteBuffer in column-major order, starting at its current position.
Matrix4x3d	set(DoubleBuffer buffer)	Set the values of this matrix by reading 12 double values from the given DoubleBuffer in column-major order, starting at its current position.
Matrix4x3d	set(FloatBuffer buffer)	Set the values of this matrix by reading 12 float values from the given FloatBuffer in column-major order, starting at its current position.
Matrix4x3d	set(AxisAngle4d axisAngle)	Set this matrix to be equivalent to the rotation specified by the given AxisAngle4d.
Matrix4x3d	set(AxisAngle4f axisAngle)	Set this matrix to be equivalent to the rotation specified by the given AxisAngle4f.
Matrix4x3d	set(Matrix3dc mat)	Set the left 3x3 submatrix of this Matrix4x3d to the given Matrix3dc and the rest to identity.
Matrix4x3d	set(Matrix3fc mat)	Set the left 3x3 submatrix of this Matrix4x3d to the given Matrix3fc and the rest to identity.
Matrix4x3d	set(Matrix4dc m)	Store the values of the upper 4x3 submatrix of m into this matrix.
Matrix4x3d	set(Matrix4x3dc m)	Store the values of the given matrix m into this matrix.
Matrix4x3d	set(Matrix4x3fc m)	Store the values of the given matrix m into this matrix.
Matrix4x3d	set(Quaterniondc q)	Set this matrix to be equivalent to the rotation - and possibly scaling - specified by the given Quaterniondc.
Matrix4x3d	set(Quaternionfc q)	Set this matrix to be equivalent to the rotation - and possibly scaling - specified by the given Quaternionfc.
Matrix4x3d	set(Vector3dc col0, Vector3dc col1, Vector3dc col2, Vector3dc col3)	Set the four columns of this matrix to the supplied vectors, respectively.
Matrix4x3d	set3x3(Matrix3dc mat)	Set the left 3x3 submatrix of this Matrix4x3d to the given Matrix3dc and don't change the other elements.
Matrix4x3d	set3x3(Matrix3fc mat)	Set the left 3x3 submatrix of this Matrix4x3d to the given Matrix3fc and don't change the other elements.
Matrix4x3d	set3x3(Matrix4x3dc mat)	Set the left 3x3 submatrix of this Matrix4x3d to that of the given Matrix4x3dc and don't change the other elements.
Matrix4x3d	setColumn(int column, Vector3dc src)	Set the column at the given column index, starting with 0.
Matrix4x3d	setFloats(int index, ByteBuffer buffer)	Set the values of this matrix by reading 12 float values from the given ByteBuffer in column-major order, starting at the specified absolute buffer position/index.
Matrix4x3d	setFloats(ByteBuffer buffer)	Set the values of this matrix by reading 12 float values from the given ByteBuffer in column-major order, starting at its current position.
Matrix4x3d	setFromAddress(long address)	Set the values of this matrix by reading 12 double values from off-heap memory in column-major order, starting at the given address.
Matrix4x3d	setLookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ)	Set this matrix to a rotation transformation to make -z point along dir.
Matrix4x3d	setLookAlong(Vector3dc dir, Vector3dc up)	Set this matrix to a rotation transformation to make -z point along dir.
Matrix4x3d	setLookAt(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ)	Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns -z with center - eye.
Matrix4x3d	setLookAt(Vector3dc eye, Vector3dc center, Vector3dc up)	Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns -z with center - eye.
Matrix4x3d	setLookAtLH(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ)	Set this matrix to be a "lookat" transformation for a left-handed coordinate system, that aligns +z with center - eye.
Matrix4x3d	setLookAtLH(Vector3dc eye, Vector3dc center, Vector3dc up)	Set this matrix to be a "lookat" transformation for a left-handed coordinate system, that aligns +z with center - eye.
Matrix4x3d	setOrtho(double left, double right, double bottom, double top, double zNear, double zFar)	Set this matrix to be an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4x3d	setOrtho(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)	Set this matrix to be an orthographic projection transformation for a right-handed coordinate system using the given NDC z range.
Matrix4x3d	setOrtho2D(double left, double right, double bottom, double top)	Set this matrix to be an orthographic projection transformation for a right-handed coordinate system.
Matrix4x3d	setOrtho2DLH(double left, double right, double bottom, double top)	Set this matrix to be an orthographic projection transformation for a left-handed coordinate system.
Matrix4x3d	setOrthoLH(double left, double right, double bottom, double top, double zNear, double zFar)	Set this matrix to be an orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4x3d	setOrthoLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)	Set this matrix to be an orthographic projection transformation for a left-handed coordinate system using the given NDC z range.
Matrix4x3d	setOrthoSymmetric(double width, double height, double zNear, double zFar)	Set this matrix to be a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4x3d	setOrthoSymmetric(double width, double height, double zNear, double zFar, boolean zZeroToOne)	Set this matrix to be a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range.
Matrix4x3d	setOrthoSymmetricLH(double width, double height, double zNear, double zFar)	Set this matrix to be a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].
Matrix4x3d	setOrthoSymmetricLH(double width, double height, double zNear, double zFar, boolean zZeroToOne)	Set this matrix to be a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range.
Matrix4x3d	setRotationXYZ(double angleX, double angleY, double angleZ)	Set only the left 3x3 submatrix of this matrix to a rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4x3d	setRotationYXZ(double angleY, double angleX, double angleZ)	Set only the left 3x3 submatrix of this matrix to a rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
Matrix4x3d	setRotationZYX(double angleZ, double angleY, double angleX)	Set only the left 3x3 submatrix of this matrix to a rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
Matrix4x3d	setRow(int row, Vector4dc src)	Set the row at the given row index, starting with 0.
Matrix4x3d	setTranslation(double x, double y, double z)	Set only the translation components (m30, m31, m32) of this matrix to the given values (x, y, z).
Matrix4x3d	setTranslation(Vector3dc xyz)	Set only the translation components (m30, m31, m32) of this matrix to the given values (xyz.x, xyz.y, xyz.z).
Matrix4x3d	shadow(double lightX, double lightY, double lightZ, double lightW, double a, double b, double c, double d)	Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW).
Matrix4x3d	shadow(double lightX, double lightY, double lightZ, double lightW, double a, double b, double c, double d, Matrix4x3d dest)	Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW) and store the result in dest.
Matrix4x3d	shadow(double lightX, double lightY, double lightZ, double lightW, Matrix4x3dc planeTransform)	Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW).
Matrix4x3d	shadow(double lightX, double lightY, double lightZ, double lightW, Matrix4x3dc planeTransform, Matrix4x3d dest)	Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW) and store the result in dest.
Matrix4x3d	shadow(Vector4dc light, double a, double b, double c, double d)	Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction light.
Matrix4x3d	shadow(Vector4dc light, double a, double b, double c, double d, Matrix4x3d dest)	Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction light and store the result in dest.
Matrix4x3d	shadow(Vector4dc light, Matrix4x3dc planeTransform)	Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction light.
Matrix4x3d	shadow(Vector4dc light, Matrix4x3dc planeTransform, Matrix4x3d dest)	Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction light and store the result in dest.
Matrix4x3d	sub(Matrix4x3dc subtrahend)	Component-wise subtract subtrahend from this.
Matrix4x3d	sub(Matrix4x3dc subtrahend, Matrix4x3d dest)	Component-wise subtract subtrahend from this and store the result in dest.
Matrix4x3d	sub(Matrix4x3fc subtrahend)	Component-wise subtract subtrahend from this.
Matrix4x3d	sub(Matrix4x3fc subtrahend, Matrix4x3d dest)	Component-wise subtract subtrahend from this and store the result in dest.
Matrix4x3d	swap(Matrix4x3d other)	Exchange the values of this matrix with the given other matrix.
String	toString()	Return a string representation of this matrix.
String	toString(NumberFormat formatter)	Return a string representation of this matrix by formatting the matrix elements with the given NumberFormat.
Vector4d	transform(Vector4d v)	Transform/multiply the given vector by this matrix and store the result in that vector.
Vector4d	transform(Vector4dc v, Vector4d dest)	Transform/multiply the given vector by this matrix and store the result in dest.
Matrix4x3d	transformAab(double minX, double minY, double minZ, double maxX, double maxY, double maxZ, Vector3d outMin, Vector3d outMax)	Transform the axis-aligned box given as the minimum corner (minX, minY, minZ) and maximum corner (maxX, maxY, maxZ) by this matrix and compute the axis-aligned box of the result whose minimum corner is stored in outMin and maximum corner stored in outMax.
Matrix4x3d	transformAab(Vector3dc min, Vector3dc max, Vector3d outMin, Vector3d outMax)	Transform the axis-aligned box given as the minimum corner min and maximum corner max by this matrix and compute the axis-aligned box of the result whose minimum corner is stored in outMin and maximum corner stored in outMax.
Vector3d	transformDirection(Vector3d v)	Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in that vector.
Vector3d	transformDirection(Vector3dc v, Vector3d dest)	Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in dest.
Vector3d	transformPosition(Vector3d v)	Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in that vector.
Vector3d	transformPosition(Vector3dc v, Vector3d dest)	Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in dest.
Matrix4x3d	translate(double x, double y, double z)	Apply a translation to this matrix by translating by the given number of units in x, y and z.
Matrix4x3d	translate(double x, double y, double z, Matrix4x3d dest)	Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
Matrix4x3d	translate(Vector3dc offset)	Apply a translation to this matrix by translating by the given number of units in x, y and z.
Matrix4x3d	translate(Vector3dc offset, Matrix4x3d dest)	Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
Matrix4x3d	translate(Vector3fc offset)	Apply a translation to this matrix by translating by the given number of units in x, y and z.
Matrix4x3d	translate(Vector3fc offset, Matrix4x3d dest)	Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
Matrix4x3d	translateLocal(double x, double y, double z)	Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.
Matrix4x3d	translateLocal(double x, double y, double z, Matrix4x3d dest)	Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
Matrix4x3d	translateLocal(Vector3dc offset)	Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.
Matrix4x3d	translateLocal(Vector3dc offset, Matrix4x3d dest)	Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
Matrix4x3d	translateLocal(Vector3fc offset)	Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.
Matrix4x3d	translateLocal(Vector3fc offset, Matrix4x3d dest)	Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
Matrix4x3d	translation(double x, double y, double z)	Set this matrix to be a simple translation matrix.
Matrix4x3d	translation(Vector3dc offset)	Set this matrix to be a simple translation matrix.
Matrix4x3d	translation(Vector3fc offset)	Set this matrix to be a simple translation matrix.
Matrix4x3d	translationRotate(double tx, double ty, double tz, double qx, double qy, double qz, double qw)	Set this matrix to T * R, where T is a translation by the given (tx, ty, tz) and R is a rotation - and possibly scaling - transformation specified by the quaternion (qx, qy, qz, qw).
Matrix4x3d	translationRotate(double tx, double ty, double tz, Quaterniondc quat)	Set this matrix to T * R, where T is a translation by the given (tx, ty, tz) and R is a rotation transformation specified by the given quaternion.
Matrix4x3d	translationRotate(Vector3dc translation, Quaterniondc quat)	Set this matrix to T * R, where T is the given translation and R is a rotation transformation specified by the given quaternion.
Matrix4x3d	translationRotateInvert(double tx, double ty, double tz, double qx, double qy, double qz, double qw)	Set this matrix to (T * R)-1, where T is a translation by the given (tx, ty, tz) and R is a rotation transformation specified by the quaternion (qx, qy, qz, qw).
Matrix4x3d	translationRotateInvert(Vector3dc translation, Quaterniondc quat)	Set this matrix to (T * R)-1, where T is the given translation and R is a rotation transformation specified by the given quaternion.
Matrix4x3d	translationRotateMul(double tx, double ty, double tz, double qx, double qy, double qz, double qw, Matrix4x3dc mat)	Set this matrix to T * R * M, where T is a translation by the given (tx, ty, tz), R is a rotation - and possibly scaling - transformation specified by the quaternion (qx, qy, qz, qw) and M is the given matrix mat
Matrix4x3d	translationRotateMul(double tx, double ty, double tz, Quaternionfc quat, Matrix4x3dc mat)	Set this matrix to T * R * M, where T is a translation by the given (tx, ty, tz), R is a rotation - and possibly scaling - transformation specified by the given quaternion and M is the given matrix mat.
Matrix4x3d	translationRotateScale(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double sx, double sy, double sz)	Set this matrix to T * R * S, where T is a translation by the given (tx, ty, tz), R is a rotation transformation specified by the quaternion (qx, qy, qz, qw), and S is a scaling transformation which scales the three axes x, y and z by (sx, sy, sz).
Matrix4x3d	translationRotateScale(Vector3dc translation, Quaterniondc quat, Vector3dc scale)	Set this matrix to T * R * S, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales the axes by scale.
Matrix4x3d	translationRotateScale(Vector3fc translation, Quaternionfc quat, Vector3fc scale)	Set this matrix to T * R * S, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales the axes by scale.
Matrix4x3d	translationRotateScaleMul(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double sx, double sy, double sz, Matrix4x3dc m)	Set this matrix to T * R * S * M, where T is a translation by the given (tx, ty, tz), R is a rotation transformation specified by the quaternion (qx, qy, qz, qw), S is a scaling transformation which scales the three axes x, y and z by (sx, sy, sz).
Matrix4x3d	translationRotateScaleMul(Vector3dc translation, Quaterniondc quat, Vector3dc scale, Matrix4x3dc m)	Set this matrix to T * R * S * M, where T is the given translation, R is a rotation transformation specified by the given quaternion, S is a scaling transformation which scales the axes by scale.
Matrix4x3d	translationRotateTowards(double posX, double posY, double posZ, double dirX, double dirY, double dirZ, double upX, double upY, double upZ)	Set this matrix to a model transformation for a right-handed coordinate system, that translates to the given (posX, posY, posZ) and aligns the local -z axis with (dirX, dirY, dirZ).
Matrix4x3d	translationRotateTowards(Vector3dc pos, Vector3dc dir, Vector3dc up)	Set this matrix to a model transformation for a right-handed coordinate system, that translates to the given pos and aligns the local -z axis with dir.
Matrix4x3d	transpose3x3()	Transpose only the left 3x3 submatrix of this matrix and set the rest of the matrix elements to identity.
Matrix3d	transpose3x3(Matrix3d dest)	Transpose only the left 3x3 submatrix of this matrix and store the result in dest.
Matrix4x3d	transpose3x3(Matrix4x3d dest)	Transpose only the left 3x3 submatrix of this matrix and store the result in dest.
void	writeExternal(ObjectOutput out)
Matrix4x3d	zero()	Set all the values within this matrix to 0.

Methods inherited from class java.lang.Object

finalize, getClass, notify, notifyAll, wait, wait, wait

Constructor Details

Matrix4x3d

public Matrix4x3d()

Create a new Matrix4x3d and set it to identity.

Matrix4x3d

public Matrix4x3d(Matrix4x3dc mat)

Create a new Matrix4x3d and make it a copy of the given matrix.

Parameters:

mat - the Matrix4x3dc to copy the values from

Matrix4x3d

public Matrix4x3d(Matrix4x3fc mat)

Create a new Matrix4x3d and make it a copy of the given matrix.

Parameters:

mat - the Matrix4x3fc to copy the values from

Matrix4x3d

public Matrix4x3d(Matrix3dc mat)

Create a new Matrix4x3d by setting its left 3x3 submatrix to the values of the given Matrix3dc and the rest to identity.

Parameters:

mat - the Matrix3dc

Matrix4x3d

public Matrix4x3d(Matrix3fc mat)

Create a new Matrix4x3d by setting its left 3x3 submatrix to the values of the given Matrix3fc and the rest to identity.

Parameters:

mat - the Matrix3dc

Matrix4x3d

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)

Create a new 4x4 matrix using the supplied double values.

Parameters:

m00 - the value of m00

m01 - the value of m01

m02 - the value of m02

m10 - the value of m10

m11 - the value of m11

m12 - the value of m12

m20 - the value of m20

m21 - the value of m21

m22 - the value of m22

m30 - the value of m30

m31 - the value of m31

m32 - the value of m32

Matrix4x3d

public Matrix4x3d(DoubleBuffer buffer)

Create a new Matrix4x3d by reading its 12 double components from the given DoubleBuffer at the buffer's current position.

That DoubleBuffer is expected to hold the values in column-major order.

The buffer's position will not be changed by this method.

Parameters:

buffer - the DoubleBuffer to read the matrix values from

Method Details

assume

public Matrix4x3d assume(int properties)

Assume the given properties about this matrix.

Use one or multiple of 0, Matrix4x3dc.PROPERTY_IDENTITY, Matrix4x3dc.PROPERTY_TRANSLATION, Matrix4x3dc.PROPERTY_ORTHONORMAL.

Parameters:

properties - bitset of the properties to assume about this matrix

Returns:

this

determineProperties

public Matrix4x3d determineProperties()

Compute and set the matrix properties returned by properties() based on the current matrix element values.

Returns:

this

properties

public int properties()

Specified by:

properties in interface Matrix4x3dc

Returns:

the properties of the matrix

m00

public double m00()

Description copied from interface: Matrix4x3dc

Return the value of the matrix element at column 0 and row 0.

Specified by:

m00 in interface Matrix4x3dc

Returns:

the value of the matrix element

m01

public double m01()

Description copied from interface: Matrix4x3dc

Return the value of the matrix element at column 0 and row 1.

Specified by:

m01 in interface Matrix4x3dc

Returns:

the value of the matrix element

m02

public double m02()

Description copied from interface: Matrix4x3dc

Return the value of the matrix element at column 0 and row 2.

Specified by:

m02 in interface Matrix4x3dc

Returns:

the value of the matrix element

m10

public double m10()

Description copied from interface: Matrix4x3dc

Return the value of the matrix element at column 1 and row 0.

Specified by:

m10 in interface Matrix4x3dc

Returns:

the value of the matrix element

m11

public double m11()

Description copied from interface: Matrix4x3dc

Return the value of the matrix element at column 1 and row 1.

Specified by:

m11 in interface Matrix4x3dc

Returns:

the value of the matrix element

m12

public double m12()

Description copied from interface: Matrix4x3dc

Return the value of the matrix element at column 1 and row 2.

Specified by:

m12 in interface Matrix4x3dc

Returns:

the value of the matrix element

m20

public double m20()

Description copied from interface: Matrix4x3dc

Return the value of the matrix element at column 2 and row 0.

Specified by:

m20 in interface Matrix4x3dc

Returns:

the value of the matrix element

m21

public double m21()

Description copied from interface: Matrix4x3dc

Return the value of the matrix element at column 2 and row 1.

Specified by:

m21 in interface Matrix4x3dc

Returns:

the value of the matrix element

m22

public double m22()

Description copied from interface: Matrix4x3dc

Return the value of the matrix element at column 2 and row 2.

Specified by:

m22 in interface Matrix4x3dc

Returns:

the value of the matrix element

m30

public double m30()

Description copied from interface: Matrix4x3dc

Return the value of the matrix element at column 3 and row 0.

Specified by:

m30 in interface Matrix4x3dc

Returns:

the value of the matrix element

m31

public double m31()

Description copied from interface: Matrix4x3dc

Return the value of the matrix element at column 3 and row 1.

Specified by:

m31 in interface Matrix4x3dc

Returns:

the value of the matrix element

m32

public double m32()

Description copied from interface: Matrix4x3dc

Return the value of the matrix element at column 3 and row 2.

Specified by:

m32 in interface Matrix4x3dc

Returns:

the value of the matrix element

m00

public Matrix4x3d m00(double m00)

Set the value of the matrix element at column 0 and row 0.

Parameters:

m00 - the new value

Returns:

this

m01

public Matrix4x3d m01(double m01)

Set the value of the matrix element at column 0 and row 1.

Parameters:

m01 - the new value

Returns:

this

m02

public Matrix4x3d m02(double m02)

Set the value of the matrix element at column 0 and row 2.

Parameters:

m02 - the new value

Returns:

this

m10

public Matrix4x3d m10(double m10)

Set the value of the matrix element at column 1 and row 0.

Parameters:

m10 - the new value

Returns:

this

m11

public Matrix4x3d m11(double m11)

Set the value of the matrix element at column 1 and row 1.

Parameters:

m11 - the new value

Returns:

this

m12

public Matrix4x3d m12(double m12)

Set the value of the matrix element at column 1 and row 2.

Parameters:

m12 - the new value

Returns:

this

m20

public Matrix4x3d m20(double m20)

Set the value of the matrix element at column 2 and row 0.

Parameters:

m20 - the new value

Returns:

this

m21

public Matrix4x3d m21(double m21)

Set the value of the matrix element at column 2 and row 1.

Parameters:

m21 - the new value

Returns:

this

m22

public Matrix4x3d m22(double m22)

Set the value of the matrix element at column 2 and row 2.

Parameters:

m22 - the new value

Returns:

this

m30

public Matrix4x3d m30(double m30)

Set the value of the matrix element at column 3 and row 0.

Parameters:

m30 - the new value

Returns:

this

m31

public Matrix4x3d m31(double m31)

Set the value of the matrix element at column 3 and row 1.

Parameters:

m31 - the new value

Returns:

this

m32

public Matrix4x3d m32(double m32)

Set the value of the matrix element at column 3 and row 2.

Parameters:

m32 - the new value

Returns:

this

identity

public Matrix4x3d identity()

Reset this matrix to the identity.

Please note that if a call to identity() is immediately followed by a call to: translate, rotate, scale, ortho, ortho2D, lookAt, lookAlong, or any of their overloads, then the call to identity() can be omitted and the subsequent call replaced with: translation, rotation, scaling, setOrtho, setOrtho2D, setLookAt, setLookAlong, or any of their overloads.

Returns:

this

set

public Matrix4x3d set(Matrix4x3dc m)

Store the values of the given matrix m into this matrix.

Parameters:

m - the matrix to copy the values from

Returns:

this

set

public Matrix4x3d set(Matrix4x3fc m)

Store the values of the given matrix m into this matrix.

Parameters:

m - the matrix to copy the values from

Returns:

this

set

public Matrix4x3d set(Matrix4dc m)

Store the values of the upper 4x3 submatrix of m into this matrix.

Parameters:

m - the matrix to copy the values from

Returns:

this

See Also:

• Matrix4dc.get4x3(Matrix4x3d)

get

public Matrix4d get(Matrix4d dest)

Description copied from interface: Matrix4x3dc

Get the current values of this matrix and store them into the upper 4x3 submatrix of dest.

The other elements of dest will not be modified.

Specified by:

get in interface Matrix4x3dc

Parameters:

dest - the destination matrix

Returns:

dest

See Also:

• Matrix4d.set4x3(Matrix4x3dc)

set

public Matrix4x3d set(Matrix3dc mat)

Set the left 3x3 submatrix of this Matrix4x3d to the given Matrix3dc and the rest to identity.

Parameters:

mat - the Matrix3dc

Returns:

this

See Also:

• Matrix4x3d(Matrix3dc)

set

public Matrix4x3d set(Matrix3fc mat)

Set the left 3x3 submatrix of this Matrix4x3d to the given Matrix3fc and the rest to identity.

Parameters:

mat - the Matrix3fc

Returns:

this

See Also:

• Matrix4x3d(Matrix3fc)

set

public Matrix4x3d set(Vector3dc col0,
 Vector3dc col1,
 Vector3dc col2,
 Vector3dc col3)

Set the four columns of this matrix to the supplied vectors, respectively.

Parameters:

col0 - the first column

col1 - the second column

col2 - the third column

col3 - the fourth column

Returns:

this

set3x3

public Matrix4x3d set3x3(Matrix4x3dc mat)

Set the left 3x3 submatrix of this Matrix4x3d to that of the given Matrix4x3dc and don't change the other elements.

Parameters:

mat - the Matrix4x3dc

Returns:

this

set

public Matrix4x3d set(AxisAngle4f axisAngle)

Set this matrix to be equivalent to the rotation specified by the given AxisAngle4f.

Parameters:

axisAngle - the AxisAngle4f

Returns:

this

set

public Matrix4x3d set(AxisAngle4d axisAngle)

Set this matrix to be equivalent to the rotation specified by the given AxisAngle4d.

Parameters:

axisAngle - the AxisAngle4d

Returns:

this

set

public Matrix4x3d set(Quaternionfc q)

Set this matrix to be equivalent to the rotation - and possibly scaling - specified by the given Quaternionfc.

This method is equivalent to calling: rotation(q)

Parameters:

q - the Quaternionfc

Returns:

this

See Also:

• rotation(Quaternionfc)

set

public Matrix4x3d set(Quaterniondc q)

Set this matrix to be equivalent to the rotation - and possibly scaling - specified by the given Quaterniondc.

This method is equivalent to calling: rotation(q)

Parameters:

q - the Quaterniondc

Returns:

this

mul

public Matrix4x3d mul(Matrix4x3dc right)

Multiply this matrix by the supplied right matrix.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Parameters:

right - the right operand of the multiplication

Returns:

this

mul

public Matrix4x3d mul(Matrix4x3dc right,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this matrix by the supplied right matrix and store the result in dest.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Specified by:

mul in interface Matrix4x3dc

Parameters:

right - the right operand of the multiplication

dest - will hold the result

Returns:

dest

mul

public Matrix4x3d mul(Matrix4x3fc right)

Multiply this matrix by the supplied right matrix.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Parameters:

right - the right operand of the multiplication

Returns:

this

mul

public Matrix4x3d mul(Matrix4x3fc right,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this matrix by the supplied right matrix and store the result in dest.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Specified by:

mul in interface Matrix4x3dc

Parameters:

right - the right operand of the multiplication

dest - will hold the result

Returns:

dest

mulTranslation

public Matrix4x3d mulTranslation(Matrix4x3dc right,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this matrix, which is assumed to only contain a translation, by the supplied right matrix and store the result in dest.

This method assumes that this matrix only contains a translation.

This method will not modify either the last row of this or the last row of right.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Specified by:

mulTranslation in interface Matrix4x3dc

Parameters:

right - the right operand of the matrix multiplication

dest - the destination matrix, which will hold the result

Returns:

dest

mulTranslation

public Matrix4x3d mulTranslation(Matrix4x3fc right,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this matrix, which is assumed to only contain a translation, by the supplied right matrix and store the result in dest.

This method assumes that this matrix only contains a translation.

This method will not modify either the last row of this or the last row of right.

If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!

Specified by:

mulTranslation in interface Matrix4x3dc

Parameters:

right - the right operand of the matrix multiplication

dest - the destination matrix, which will hold the result

Returns:

dest

mulOrtho

public Matrix4x3d mulOrtho(Matrix4x3dc view)

Multiply this orthographic projection matrix by the supplied view matrix.

If M is this matrix and V the view matrix, then the new matrix will be M * V. So when transforming a vector v with the new matrix by using M * V * v, the transformation of the view matrix will be applied first!

Parameters:

view - the matrix which to multiply this with

Returns:

this

mulOrtho

public Matrix4x3d mulOrtho(Matrix4x3dc view,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this orthographic projection matrix by the supplied view matrix and store the result in dest.

If M is this matrix and V the view matrix, then the new matrix will be M * V. So when transforming a vector v with the new matrix by using M * V * v, the transformation of the view matrix will be applied first!

Specified by:

mulOrtho in interface Matrix4x3dc

Parameters:

view - the matrix which to multiply this with

dest - the destination matrix, which will hold the result

Returns:

dest

mul3x3

public Matrix4x3d mul3x3(double rm00,
 double rm01,
 double rm02,
 double rm10,
 double rm11,
 double rm12,
 double rm20,
 double rm21,
 double rm22)

Multiply this by the 4x3 matrix with the column vectors (rm00, rm01, rm02), (rm10, rm11, rm12), (rm20, rm21, rm22) and (0, 0, 0).

If M is this matrix and R the specified matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the R matrix will be applied first!

Parameters:

rm00 - the value of the m00 element

rm01 - the value of the m01 element

rm02 - the value of the m02 element

rm10 - the value of the m10 element

rm11 - the value of the m11 element

rm12 - the value of the m12 element

rm20 - the value of the m20 element

rm21 - the value of the m21 element

rm22 - the value of the m22 element

Returns:

this

mul3x3

public Matrix4x3d mul3x3(double rm00,
 double rm01,
 double rm02,
 double rm10,
 double rm11,
 double rm12,
 double rm20,
 double rm21,
 double rm22,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the 4x3 matrix with the column vectors (rm00, rm01, rm02), (rm10, rm11, rm12), (rm20, rm21, rm22) and (0, 0, 0) and store the result in dest.

If M is this matrix and R the specified matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the R matrix will be applied first!

Specified by:

mul3x3 in interface Matrix4x3dc

Parameters:

rm00 - the value of the m00 element

rm01 - the value of the m01 element

rm02 - the value of the m02 element

rm10 - the value of the m10 element

rm11 - the value of the m11 element

rm12 - the value of the m12 element

rm20 - the value of the m20 element

rm21 - the value of the m21 element

rm22 - the value of the m22 element

dest - will hold the result

Returns:

dest

fma

public Matrix4x3d fma(Matrix4x3dc other,
 double otherFactor)

Component-wise add this and other by first multiplying each component of other by otherFactor and adding that result to this.

The matrix other will not be changed.

Parameters:

other - the other matrix

otherFactor - the factor to multiply each of the other matrix's components

Returns:

this

fma

public Matrix4x3d fma(Matrix4x3dc other,
 double otherFactor,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Component-wise add this and other by first multiplying each component of other by otherFactor, adding that to this and storing the final result in dest.

The other components of dest will be set to the ones of this.

The matrices this and other will not be changed.

Specified by:

fma in interface Matrix4x3dc

Parameters:

other - the other matrix

otherFactor - the factor to multiply each of the other matrix's components

dest - will hold the result

Returns:

dest

fma

public Matrix4x3d fma(Matrix4x3fc other,
 double otherFactor)

Component-wise add this and other by first multiplying each component of other by otherFactor and adding that result to this.

The matrix other will not be changed.

Parameters:

other - the other matrix

otherFactor - the factor to multiply each of the other matrix's components

Returns:

this

fma

public Matrix4x3d fma(Matrix4x3fc other,
 double otherFactor,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Component-wise add this and other by first multiplying each component of other by otherFactor, adding that to this and storing the final result in dest.

The other components of dest will be set to the ones of this.

The matrices this and other will not be changed.

Specified by:

fma in interface Matrix4x3dc

Parameters:

other - the other matrix

otherFactor - the factor to multiply each of the other matrix's components

dest - will hold the result

Returns:

dest

add

public Matrix4x3d add(Matrix4x3dc other)

Component-wise add this and other.

Parameters:

other - the other addend

Returns:

this

add

public Matrix4x3d add(Matrix4x3dc other,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Component-wise add this and other and store the result in dest.

Specified by:

add in interface Matrix4x3dc

Parameters:

other - the other addend

dest - will hold the result

Returns:

dest

add

public Matrix4x3d add(Matrix4x3fc other)

Component-wise add this and other.

Parameters:

other - the other addend

Returns:

this

add

public Matrix4x3d add(Matrix4x3fc other,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Component-wise add this and other and store the result in dest.

Specified by:

add in interface Matrix4x3dc

Parameters:

other - the other addend

dest - will hold the result

Returns:

dest

sub

public Matrix4x3d sub(Matrix4x3dc subtrahend)

Component-wise subtract subtrahend from this.

Parameters:

subtrahend - the subtrahend

Returns:

this

sub

public Matrix4x3d sub(Matrix4x3dc subtrahend,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Component-wise subtract subtrahend from this and store the result in dest.

Specified by:

sub in interface Matrix4x3dc

Parameters:

subtrahend - the subtrahend

dest - will hold the result

Returns:

dest

sub

public Matrix4x3d sub(Matrix4x3fc subtrahend)

Component-wise subtract subtrahend from this.

Parameters:

subtrahend - the subtrahend

Returns:

this

sub

public Matrix4x3d sub(Matrix4x3fc subtrahend,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Component-wise subtract subtrahend from this and store the result in dest.

Specified by:

sub in interface Matrix4x3dc

Parameters:

subtrahend - the subtrahend

dest - will hold the result

Returns:

dest

mulComponentWise

public Matrix4x3d mulComponentWise(Matrix4x3dc other)

Component-wise multiply this by other.

Parameters:

other - the other matrix

Returns:

this

mulComponentWise

public Matrix4x3d mulComponentWise(Matrix4x3dc other,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Component-wise multiply this by other and store the result in dest.

Specified by:

mulComponentWise in interface Matrix4x3dc

Parameters:

other - the other matrix

dest - will hold the result

Returns:

dest

set

public Matrix4x3d set(double m00,
 double m01,
 double m02,
 double m10,
 double m11,
 double m12,
 double m20,
 double m21,
 double m22,
 double m30,
 double m31,
 double m32)

Set the values within this matrix to the supplied double values. The matrix will look like this:

m00, m10, m20, m30
m01, m11, m21, m31
m02, m12, m22, m32

Parameters:

m00 - the new value of m00

m01 - the new value of m01

m02 - the new value of m02

m10 - the new value of m10

m11 - the new value of m11

m12 - the new value of m12

m20 - the new value of m20

m21 - the new value of m21

m22 - the new value of m22

m30 - the new value of m30

m31 - the new value of m31

m32 - the new value of m32

Returns:

this

set

public Matrix4x3d set(double[] m,
 int off)

Set the values in the matrix using a double array that contains the matrix elements in column-major order.

The results will look like this:

0, 3, 6, 9
1, 4, 7, 10
2, 5, 8, 11

Parameters:

m - the array to read the matrix values from

off - the offset into the array

Returns:

this

See Also:

• set(double[])

set

public Matrix4x3d set(double[] m)

Set the values in the matrix using a double array that contains the matrix elements in column-major order.

The results will look like this:

0, 3, 6, 9
1, 4, 7, 10
2, 5, 8, 11

Parameters:

m - the array to read the matrix values from

Returns:

this

See Also:

• set(double[], int)

set

public Matrix4x3d set(float[] m,
 int off)

Set the values in the matrix using a float array that contains the matrix elements in column-major order.

The results will look like this:

0, 3, 6, 9
1, 4, 7, 10
2, 5, 8, 11

Parameters:

m - the array to read the matrix values from

off - the offset into the array

Returns:

this

See Also:

• set(float[])

set

public Matrix4x3d set(float[] m)

Set the values in the matrix using a float array that contains the matrix elements in column-major order.

The results will look like this:

0, 3, 6, 9
1, 4, 7, 10
2, 5, 8, 11

Parameters:

m - the array to read the matrix values from

Returns:

this

See Also:

• set(float[], int)

set

public Matrix4x3d set(DoubleBuffer buffer)

Set the values of this matrix by reading 12 double values from the given DoubleBuffer in column-major order, starting at its current position.

The DoubleBuffer is expected to contain the values in column-major order.

The position of the DoubleBuffer will not be changed by this method.

Parameters:

buffer - the DoubleBuffer to read the matrix values from in column-major order

Returns:

this

set

public Matrix4x3d set(FloatBuffer buffer)

Set the values of this matrix by reading 12 float values from the given FloatBuffer in column-major order, starting at its current position.

The FloatBuffer is expected to contain the values in column-major order.

The position of the FloatBuffer will not be changed by this method.

Parameters:

buffer - the FloatBuffer to read the matrix values from in column-major order

Returns:

this

set

public Matrix4x3d set(ByteBuffer buffer)

Set the values of this matrix by reading 12 double values from the given ByteBuffer in column-major order, starting at its current position.

The ByteBuffer is expected to contain the values in column-major order.

The position of the ByteBuffer will not be changed by this method.

Parameters:

buffer - the ByteBuffer to read the matrix values from in column-major order

Returns:

this

set

public Matrix4x3d set(int index,
 DoubleBuffer buffer)

Set the values of this matrix by reading 12 double values from the given DoubleBuffer in column-major order, starting at the specified absolute buffer position/index.

The DoubleBuffer is expected to contain the values in column-major order.

The position of the DoubleBuffer will not be changed by this method.

Parameters:

index - the absolute position into the DoubleBuffer

buffer - the DoubleBuffer to read the matrix values from in column-major order

Returns:

this

set

public Matrix4x3d set(int index,
 FloatBuffer buffer)

Set the values of this matrix by reading 12 float values from the given FloatBuffer in column-major order, starting at the specified absolute buffer position/index.

The FloatBuffer is expected to contain the values in column-major order.

The position of the FloatBuffer will not be changed by this method.

Parameters:

index - the absolute position into the FloatBuffer

buffer - the FloatBuffer to read the matrix values from in column-major order

Returns:

this

set

public Matrix4x3d set(int index,
 ByteBuffer buffer)

Set the values of this matrix by reading 12 double values from the given ByteBuffer in column-major order, starting at the specified absolute buffer position/index.

The ByteBuffer is expected to contain the values in column-major order.

The position of the ByteBuffer will not be changed by this method.

Parameters:

index - the absolute position into the ByteBuffer

buffer - the ByteBuffer to read the matrix values from in column-major order

Returns:

this

setFloats

public Matrix4x3d setFloats(ByteBuffer buffer)

Set the values of this matrix by reading 12 float values from the given ByteBuffer in column-major order, starting at its current position.

The ByteBuffer is expected to contain the values in column-major order.

The position of the ByteBuffer will not be changed by this method.

Parameters:

buffer - the ByteBuffer to read the matrix values from in column-major order

Returns:

this

setFloats

public Matrix4x3d setFloats(int index,
 ByteBuffer buffer)

Set the values of this matrix by reading 12 float values from the given ByteBuffer in column-major order, starting at the specified absolute buffer position/index.

The ByteBuffer is expected to contain the values in column-major order.

The position of the ByteBuffer will not be changed by this method.

Parameters:

index - the absolute position into the ByteBuffer

buffer - the ByteBuffer to read the matrix values from in column-major order

Returns:

this

setFromAddress

public Matrix4x3d setFromAddress(long address)

Set the values of this matrix by reading 12 double values from off-heap memory in column-major order, starting at the given address.

This method will throw an UnsupportedOperationException when JOML is used with `-Djoml.nounsafe`.

This method is unsafe as it can result in a crash of the JVM process when the specified address range does not belong to this process.

Parameters:

address - the off-heap memory address to read the matrix values from in column-major order

Returns:

this

determinant

public double determinant()

Description copied from interface: Matrix4x3dc

Return the determinant of this matrix.

Specified by:

determinant in interface Matrix4x3dc

Returns:

the determinant

invert

public Matrix4x3d invert()

Invert this matrix.

Returns:

this

invert

public Matrix4x3d invert(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Invert this matrix and store the result in dest.

Specified by:

invert in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

invertOrtho

public Matrix4x3d invertOrtho(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Invert this orthographic projection matrix and store the result into the given dest.

This method can be used to quickly obtain the inverse of an orthographic projection matrix.

Specified by:

invertOrtho in interface Matrix4x3dc

Parameters:

dest - will hold the inverse of this

Returns:

dest

invertOrtho

public Matrix4x3d invertOrtho()

Invert this orthographic projection matrix.

This method can be used to quickly obtain the inverse of an orthographic projection matrix.

Returns:

this

transpose3x3

public Matrix4x3d transpose3x3()

Transpose only the left 3x3 submatrix of this matrix and set the rest of the matrix elements to identity.

Returns:

this

transpose3x3

public Matrix4x3d transpose3x3(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Transpose only the left 3x3 submatrix of this matrix and store the result in dest.

All other matrix elements are left unchanged.

Specified by:

transpose3x3 in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

transpose3x3

public Matrix3d transpose3x3(Matrix3d dest)

Description copied from interface: Matrix4x3dc

Transpose only the left 3x3 submatrix of this matrix and store the result in dest.

Specified by:

transpose3x3 in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

translation

public Matrix4x3d translation(double x,
 double y,
 double z)

Set this matrix to be a simple translation matrix.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional translation.

Parameters:

x - the offset to translate in x

y - the offset to translate in y

z - the offset to translate in z

Returns:

this

translation

public Matrix4x3d translation(Vector3fc offset)

Set this matrix to be a simple translation matrix.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional translation.

Parameters:

offset - the offsets in x, y and z to translate

Returns:

this

translation

public Matrix4x3d translation(Vector3dc offset)

Set this matrix to be a simple translation matrix.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional translation.

Parameters:

offset - the offsets in x, y and z to translate

Returns:

this

setTranslation

public Matrix4x3d setTranslation(double x,
 double y,
 double z)

Set only the translation components (m30, m31, m32) of this matrix to the given values (x, y, z).

To build a translation matrix instead, use translation(double, double, double). To apply a translation, use translate(double, double, double).

Parameters:

x - the units to translate in x

y - the units to translate in y

z - the units to translate in z

Returns:

this

See Also:

• translation(double, double, double)
• translate(double, double, double)

setTranslation

public Matrix4x3d setTranslation(Vector3dc xyz)

Set only the translation components (m30, m31, m32) of this matrix to the given values (xyz.x, xyz.y, xyz.z).

To build a translation matrix instead, use translation(Vector3dc). To apply a translation, use translate(Vector3dc).

Parameters:

xyz - the units to translate in (x, y, z)

Returns:

this

See Also:

• translation(Vector3dc)
• translate(Vector3dc)

getTranslation

public Vector3d getTranslation(Vector3d dest)

Description copied from interface: Matrix4x3dc

Get only the translation components (m30, m31, m32) of this matrix and store them in the given vector xyz.

Specified by:

getTranslation in interface Matrix4x3dc

Parameters:

dest - will hold the translation components of this matrix

Returns:

dest

getScale

public Vector3d getScale(Vector3d dest)

Description copied from interface: Matrix4x3dc

Get the scaling factors of this matrix for the three base axes.

Specified by:

getScale in interface Matrix4x3dc

Parameters:

dest - will hold the scaling factors for x, y and z

Returns:

dest

toString

public String toString()

Return a string representation of this matrix.

This method creates a new DecimalFormat on every invocation with the format string "0.000E0;-".

Overrides:

toString in class Object

Returns:

the string representation

toString

public String toString(NumberFormat formatter)

Return a string representation of this matrix by formatting the matrix elements with the given NumberFormat.

Parameters:

formatter - the NumberFormat used to format the matrix values with

Returns:

the string representation

get

public Matrix4x3d get(Matrix4x3d dest)

Get the current values of this matrix and store them into dest.

This is the reverse method of set(Matrix4x3dc) and allows to obtain intermediate calculation results when chaining multiple transformations.

Specified by:

get in interface Matrix4x3dc

Parameters:

dest - the destination matrix

Returns:

the passed in destination

See Also:

• set(Matrix4x3dc)

getUnnormalizedRotation

public Quaternionf getUnnormalizedRotation(Quaternionf dest)

Description copied from interface: Matrix4x3dc

Get the current values of this matrix and store the represented rotation into the given Quaternionf.

This method assumes that the first three column vectors of the left 3x3 submatrix are not normalized and thus allows to ignore any additional scaling factor that is applied to the matrix.

Specified by:

getUnnormalizedRotation in interface Matrix4x3dc

Parameters:

dest - the destination Quaternionf

Returns:

the passed in destination

See Also:

• Quaternionf.setFromUnnormalized(Matrix4x3dc)

getNormalizedRotation

public Quaternionf getNormalizedRotation(Quaternionf dest)

Description copied from interface: Matrix4x3dc

Get the current values of this matrix and store the represented rotation into the given Quaternionf.

This method assumes that the first three column vectors of the left 3x3 submatrix are normalized.

Specified by:

getNormalizedRotation in interface Matrix4x3dc

Parameters:

dest - the destination Quaternionf

Returns:

the passed in destination

See Also:

• Quaternionf.setFromNormalized(Matrix4x3dc)

getUnnormalizedRotation

public Quaterniond getUnnormalizedRotation(Quaterniond dest)

Description copied from interface: Matrix4x3dc

Get the current values of this matrix and store the represented rotation into the given Quaterniond.

This method assumes that the first three column vectors of the left 3x3 submatrix are not normalized and thus allows to ignore any additional scaling factor that is applied to the matrix.

Specified by:

getUnnormalizedRotation in interface Matrix4x3dc

Parameters:

dest - the destination Quaterniond

Returns:

the passed in destination

See Also:

• Quaterniond.setFromUnnormalized(Matrix4x3dc)

getNormalizedRotation

public Quaterniond getNormalizedRotation(Quaterniond dest)

Description copied from interface: Matrix4x3dc

Get the current values of this matrix and store the represented rotation into the given Quaterniond.

This method assumes that the first three column vectors of the left 3x3 submatrix are normalized.

Specified by:

getNormalizedRotation in interface Matrix4x3dc

Parameters:

dest - the destination Quaterniond

Returns:

the passed in destination

See Also:

• Quaterniond.setFromNormalized(Matrix4x3dc)

get

public DoubleBuffer get(DoubleBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix in column-major order into the supplied DoubleBuffer at the current buffer position.

This method will not increment the position of the given DoubleBuffer.

In order to specify the offset into the DoubleBuffer at which the matrix is stored, use Matrix4x3dc.get(int, DoubleBuffer), taking the absolute position as parameter.

Specified by:

get in interface Matrix4x3dc

Parameters:

buffer - will receive the values of this matrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4x3dc.get(int, DoubleBuffer)

get

public DoubleBuffer get(int index,
 DoubleBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix in column-major order into the supplied DoubleBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given DoubleBuffer.

Specified by:

get in interface Matrix4x3dc

Parameters:

index - the absolute position into the DoubleBuffer

buffer - will receive the values of this matrix in column-major order

Returns:

the passed in buffer

get

public FloatBuffer get(FloatBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix in column-major order into the supplied FloatBuffer at the current buffer position.

This method will not increment the position of the given FloatBuffer.

In order to specify the offset into the FloatBuffer at which the matrix is stored, use Matrix4x3dc.get(int, FloatBuffer), taking the absolute position as parameter.

Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given FloatBuffer.

Specified by:

get in interface Matrix4x3dc

Parameters:

buffer - will receive the values of this matrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4x3dc.get(int, FloatBuffer)

get

public FloatBuffer get(int index,
 FloatBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given FloatBuffer.

Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given FloatBuffer.

Specified by:

get in interface Matrix4x3dc

Parameters:

index - the absolute position into the FloatBuffer

buffer - will receive the values of this matrix in column-major order

Returns:

the passed in buffer

get

public ByteBuffer get(ByteBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix in column-major order into the supplied ByteBuffer at the current buffer position.

This method will not increment the position of the given ByteBuffer.

In order to specify the offset into the ByteBuffer at which the matrix is stored, use Matrix4x3dc.get(int, ByteBuffer), taking the absolute position as parameter.

Specified by:

get in interface Matrix4x3dc

Parameters:

buffer - will receive the values of this matrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4x3dc.get(int, ByteBuffer)

get

public ByteBuffer get(int index,
 ByteBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given ByteBuffer.

Specified by:

get in interface Matrix4x3dc

Parameters:

index - the absolute position into the ByteBuffer

buffer - will receive the values of this matrix in column-major order

Returns:

the passed in buffer

getFloats

public ByteBuffer getFloats(ByteBuffer buffer)

Description copied from interface: Matrix4x3dc

Store the elements of this matrix as float values in column-major order into the supplied ByteBuffer at the current buffer position.

This method will not increment the position of the given ByteBuffer.

Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given ByteBuffer.

In order to specify the offset into the ByteBuffer at which the matrix is stored, use Matrix4x3dc.getFloats(int, ByteBuffer), taking the absolute position as parameter.

Specified by:

getFloats in interface Matrix4x3dc

Parameters:

buffer - will receive the elements of this matrix as float values in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4x3dc.getFloats(int, ByteBuffer)

getFloats

public ByteBuffer getFloats(int index,
 ByteBuffer buffer)

Description copied from interface: Matrix4x3dc

Store the elements of this matrix as float values in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given ByteBuffer.

Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given ByteBuffer.

Specified by:

getFloats in interface Matrix4x3dc

Parameters:

index - the absolute position into the ByteBuffer

buffer - will receive the elements of this matrix as float values in column-major order

Returns:

the passed in buffer

getToAddress

public Matrix4x3dc getToAddress(long address)

Description copied from interface: Matrix4x3dc

Store this matrix in column-major order at the given off-heap address.

This method will throw an UnsupportedOperationException when JOML is used with `-Djoml.nounsafe`.

This method is unsafe as it can result in a crash of the JVM process when the specified address range does not belong to this process.

Specified by:

getToAddress in interface Matrix4x3dc

Parameters:

address - the off-heap address where to store this matrix

Returns:

this

get

public double[] get(double[] arr,
 int offset)

Description copied from interface: Matrix4x3dc

Store this matrix into the supplied double array in column-major order at the given offset.

Specified by:

get in interface Matrix4x3dc

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

get

public double[] get(double[] arr)

Description copied from interface: Matrix4x3dc

Store this matrix into the supplied double array in column-major order.

In order to specify an explicit offset into the array, use the method Matrix4x3dc.get(double[], int).

Specified by:

get in interface Matrix4x3dc

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• Matrix4x3dc.get(double[], int)

get

public float[] get(float[] arr,
 int offset)

Description copied from interface: Matrix4x3dc

Store the elements of this matrix as float values in column-major order into the supplied float array at the given offset.

Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given float array.

Specified by:

get in interface Matrix4x3dc

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

get

public float[] get(float[] arr)

Description copied from interface: Matrix4x3dc

Store the elements of this matrix as float values in column-major order into the supplied float array.

Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given float array.

In order to specify an explicit offset into the array, use the method Matrix4x3dc.get(float[], int).

Specified by:

get in interface Matrix4x3dc

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• Matrix4x3dc.get(float[], int)

get4x4

public float[] get4x4(float[] arr,
 int offset)

Description copied from interface: Matrix4x3dc

Store a 4x4 matrix in column-major order into the supplied array at the given offset, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given float array.

Specified by:

get4x4 in interface Matrix4x3dc

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

get4x4

public float[] get4x4(float[] arr)

Description copied from interface: Matrix4x3dc

Store a 4x4 matrix in column-major order into the supplied array, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given float array.

In order to specify an explicit offset into the array, use the method Matrix4x3dc.get4x4(float[], int).

Specified by:

get4x4 in interface Matrix4x3dc

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• Matrix4x3dc.get4x4(float[], int)

get4x4

public double[] get4x4(double[] arr,
 int offset)

Description copied from interface: Matrix4x3dc

Store a 4x4 matrix in column-major order into the supplied array at the given offset, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

Specified by:

get4x4 in interface Matrix4x3dc

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

get4x4

public double[] get4x4(double[] arr)

Description copied from interface: Matrix4x3dc

Store a 4x4 matrix in column-major order into the supplied array, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

In order to specify an explicit offset into the array, use the method Matrix4x3dc.get4x4(double[], int).

Specified by:

get4x4 in interface Matrix4x3dc

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• Matrix4x3dc.get4x4(double[], int)

get4x4

public DoubleBuffer get4x4(DoubleBuffer buffer)

Description copied from interface: Matrix4x3dc

Store a 4x4 matrix in column-major order into the supplied DoubleBuffer at the current buffer position, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

This method will not increment the position of the given DoubleBuffer.

In order to specify the offset into the DoubleBuffer at which the matrix is stored, use Matrix4x3dc.get4x4(int, DoubleBuffer), taking the absolute position as parameter.

Specified by:

get4x4 in interface Matrix4x3dc

Parameters:

buffer - will receive the values of this matrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4x3dc.get4x4(int, DoubleBuffer)

get4x4

public DoubleBuffer get4x4(int index,
 DoubleBuffer buffer)

Description copied from interface: Matrix4x3dc

Store a 4x4 matrix in column-major order into the supplied DoubleBuffer starting at the specified absolute buffer position/index, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

This method will not increment the position of the given DoubleBuffer.

Specified by:

get4x4 in interface Matrix4x3dc

Parameters:

index - the absolute position into the DoubleBuffer

buffer - will receive the values of this matrix in column-major order

Returns:

the passed in buffer

get4x4

public ByteBuffer get4x4(ByteBuffer buffer)

Description copied from interface: Matrix4x3dc

Store a 4x4 matrix in column-major order into the supplied ByteBuffer at the current buffer position, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

This method will not increment the position of the given ByteBuffer.

In order to specify the offset into the ByteBuffer at which the matrix is stored, use Matrix4x3dc.get4x4(int, ByteBuffer), taking the absolute position as parameter.

Specified by:

get4x4 in interface Matrix4x3dc

Parameters:

buffer - will receive the values of this matrix in column-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4x3dc.get4x4(int, ByteBuffer)

get4x4

public ByteBuffer get4x4(int index,
 ByteBuffer buffer)

Description copied from interface: Matrix4x3dc

Store a 4x4 matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index, where the upper 4x3 submatrix is this and the last row is (0, 0, 0, 1).

This method will not increment the position of the given ByteBuffer.

Specified by:

get4x4 in interface Matrix4x3dc

Parameters:

index - the absolute position into the ByteBuffer

buffer - will receive the values of this matrix in column-major order

Returns:

the passed in buffer

getTransposed

public DoubleBuffer getTransposed(DoubleBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix in row-major order into the supplied DoubleBuffer at the current buffer position.

This method will not increment the position of the given DoubleBuffer.

In order to specify the offset into the DoubleBuffer at which the matrix is stored, use Matrix4x3dc.getTransposed(int, DoubleBuffer), taking the absolute position as parameter.

Specified by:

getTransposed in interface Matrix4x3dc

Parameters:

buffer - will receive the values of this matrix in row-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4x3dc.getTransposed(int, DoubleBuffer)

getTransposed

public DoubleBuffer getTransposed(int index,
 DoubleBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix in row-major order into the supplied DoubleBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given DoubleBuffer.

Specified by:

getTransposed in interface Matrix4x3dc

Parameters:

index - the absolute position into the DoubleBuffer

buffer - will receive the values of this matrix in row-major order

Returns:

the passed in buffer

getTransposed

public ByteBuffer getTransposed(ByteBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix in row-major order into the supplied ByteBuffer at the current buffer position.

This method will not increment the position of the given ByteBuffer.

In order to specify the offset into the ByteBuffer at which the matrix is stored, use Matrix4x3dc.getTransposed(int, ByteBuffer), taking the absolute position as parameter.

Specified by:

getTransposed in interface Matrix4x3dc

Parameters:

buffer - will receive the values of this matrix in row-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4x3dc.getTransposed(int, ByteBuffer)

getTransposed

public ByteBuffer getTransposed(int index,
 ByteBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix in row-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given ByteBuffer.

Specified by:

getTransposed in interface Matrix4x3dc

Parameters:

index - the absolute position into the ByteBuffer

buffer - will receive the values of this matrix in row-major order

Returns:

the passed in buffer

getTransposed

public FloatBuffer getTransposed(FloatBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix in row-major order into the supplied FloatBuffer at the current buffer position.

This method will not increment the position of the given FloatBuffer.

Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given FloatBuffer.

In order to specify the offset into the FloatBuffer at which the matrix is stored, use Matrix4x3dc.getTransposed(int, FloatBuffer), taking the absolute position as parameter.

Specified by:

getTransposed in interface Matrix4x3dc

Parameters:

buffer - will receive the values of this matrix in row-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4x3dc.getTransposed(int, FloatBuffer)

getTransposed

public FloatBuffer getTransposed(int index,
 FloatBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix in row-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given FloatBuffer.

Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given FloatBuffer.

Specified by:

getTransposed in interface Matrix4x3dc

Parameters:

index - the absolute position into the FloatBuffer

buffer - will receive the values of this matrix in row-major order

Returns:

the passed in buffer

getTransposedFloats

public ByteBuffer getTransposedFloats(ByteBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix as float values in row-major order into the supplied ByteBuffer at the current buffer position.

This method will not increment the position of the given ByteBuffer.

Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given FloatBuffer.

In order to specify the offset into the ByteBuffer at which the matrix is stored, use Matrix4x3dc.getTransposedFloats(int, ByteBuffer), taking the absolute position as parameter.

Specified by:

getTransposedFloats in interface Matrix4x3dc

Parameters:

buffer - will receive the values of this matrix as float values in row-major order at its current position

Returns:

the passed in buffer

See Also:

• Matrix4x3dc.getTransposedFloats(int, ByteBuffer)

getTransposedFloats

public ByteBuffer getTransposedFloats(int index,
 ByteBuffer buffer)

Description copied from interface: Matrix4x3dc

Store this matrix in row-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.

This method will not increment the position of the given ByteBuffer.

Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given FloatBuffer.

Specified by:

getTransposedFloats in interface Matrix4x3dc

Parameters:

index - the absolute position into the ByteBuffer

buffer - will receive the values of this matrix as float values in row-major order

Returns:

the passed in buffer

getTransposed

public double[] getTransposed(double[] arr,
 int offset)

Description copied from interface: Matrix4x3dc

Store this matrix into the supplied float array in row-major order at the given offset.

Specified by:

getTransposed in interface Matrix4x3dc

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

getTransposed

public double[] getTransposed(double[] arr)

Description copied from interface: Matrix4x3dc

Store this matrix into the supplied float array in row-major order.

In order to specify an explicit offset into the array, use the method Matrix4x3dc.getTransposed(double[], int).

Specified by:

getTransposed in interface Matrix4x3dc

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• Matrix4x3dc.getTransposed(double[], int)

zero

public Matrix4x3d zero()

Set all the values within this matrix to 0.

Returns:

this

scaling

public Matrix4x3d scaling(double factor)

Set this matrix to be a simple scale matrix, which scales all axes uniformly by the given factor.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling.

In order to post-multiply a scaling transformation directly to a matrix, use scale() instead.

Parameters:

factor - the scale factor in x, y and z

Returns:

this

See Also:

• scale(double)

scaling

public Matrix4x3d scaling(double x,
 double y,
 double z)

Set this matrix to be a simple scale matrix.

Parameters:

x - the scale in x

y - the scale in y

z - the scale in z

Returns:

this

scaling

public Matrix4x3d scaling(Vector3dc xyz)

Set this matrix to be a simple scale matrix which scales the base axes by xyz.x, xyz.y and xyz.z, respectively.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling.

In order to post-multiply a scaling transformation directly to a matrix use scale() instead.

Parameters:

xyz - the scale in x, y and z, respectively

Returns:

this

See Also:

• scale(Vector3dc)

rotation

public Matrix4x3d rotation(double angle,
 double x,
 double y,
 double z)

Set this matrix to a rotation matrix which rotates the given radians about a given axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

From Wikipedia

Parameters:

angle - the angle in radians

x - the x-coordinate of the axis to rotate about

y - the y-coordinate of the axis to rotate about

z - the z-coordinate of the axis to rotate about

Returns:

this

rotationX

public Matrix4x3d rotationX(double ang)

Set this matrix to a rotation transformation about the X axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

Returns:

this

rotationY

public Matrix4x3d rotationY(double ang)

Set this matrix to a rotation transformation about the Y axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

Returns:

this

rotationZ

public Matrix4x3d rotationZ(double ang)

Set this matrix to a rotation transformation about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

Returns:

this

rotationXYZ

public Matrix4x3d rotationXYZ(double angleX,
 double angleY,
 double angleZ)

Set this matrix to a rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: rotationX(angleX).rotateY(angleY).rotateZ(angleZ)

Parameters:

angleX - the angle to rotate about X

angleY - the angle to rotate about Y

angleZ - the angle to rotate about Z

Returns:

this

rotationZYX

public Matrix4x3d rotationZYX(double angleZ,
 double angleY,
 double angleX)

Set this matrix to a rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: rotationZ(angleZ).rotateY(angleY).rotateX(angleX)

Parameters:

angleZ - the angle to rotate about Z

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

Returns:

this

rotationYXZ

public Matrix4x3d rotationYXZ(double angleY,
 double angleX,
 double angleZ)

Set this matrix to a rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: rotationY(angleY).rotateX(angleX).rotateZ(angleZ)

Parameters:

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

angleZ - the angle to rotate about Z

Returns:

this

setRotationXYZ

public Matrix4x3d setRotationXYZ(double angleX,
 double angleY,
 double angleZ)

Set only the left 3x3 submatrix of this matrix to a rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Parameters:

angleX - the angle to rotate about X

angleY - the angle to rotate about Y

angleZ - the angle to rotate about Z

Returns:

this

setRotationZYX

public Matrix4x3d setRotationZYX(double angleZ,
 double angleY,
 double angleX)

Set only the left 3x3 submatrix of this matrix to a rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Parameters:

angleZ - the angle to rotate about Z

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

Returns:

this

setRotationYXZ

public Matrix4x3d setRotationYXZ(double angleY,
 double angleX,
 double angleZ)

Set only the left 3x3 submatrix of this matrix to a rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Parameters:

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

angleZ - the angle to rotate about Z

Returns:

this

rotation

public Matrix4x3d rotation(double angle,
 Vector3dc axis)

Set this matrix to a rotation matrix which rotates the given radians about a given axis.

The axis described by the axis vector needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Parameters:

angle - the angle in radians

axis - the axis to rotate about

Returns:

this

rotation

public Matrix4x3d rotation(double angle,
 Vector3fc axis)

Set this matrix to a rotation matrix which rotates the given radians about a given axis.

The axis described by the axis vector needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

Parameters:

angle - the angle in radians

axis - the axis to rotate about

Returns:

this

transform

public Vector4d transform(Vector4d v)

Description copied from interface: Matrix4x3dc

Transform/multiply the given vector by this matrix and store the result in that vector.

Specified by:

transform in interface Matrix4x3dc

Parameters:

v - the vector to transform and to hold the final result

Returns:

v

See Also:

• Vector4d.mul(Matrix4x3dc)

transform

public Vector4d transform(Vector4dc v,
 Vector4d dest)

Description copied from interface: Matrix4x3dc

Transform/multiply the given vector by this matrix and store the result in dest.

Specified by:

transform in interface Matrix4x3dc

Parameters:

v - the vector to transform

dest - will contain the result

Returns:

dest

See Also:

• Vector4d.mul(Matrix4x3dc, Vector4d)

transformPosition

public Vector3d transformPosition(Vector3d v)

Description copied from interface: Matrix4x3dc

Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in that vector.

The given 3D-vector is treated as a 4D-vector with its w-component being 1.0, so it will represent a position/location in 3D-space rather than a direction.

In order to store the result in another vector, use Matrix4x3dc.transformPosition(Vector3dc, Vector3d).

Specified by:

transformPosition in interface Matrix4x3dc

Parameters:

v - the vector to transform and to hold the final result

Returns:

v

See Also:

• Matrix4x3dc.transformPosition(Vector3dc, Vector3d)
• Matrix4x3dc.transform(Vector4d)

transformPosition

public Vector3d transformPosition(Vector3dc v,
 Vector3d dest)

Description copied from interface: Matrix4x3dc

Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in dest.

The given 3D-vector is treated as a 4D-vector with its w-component being 1.0, so it will represent a position/location in 3D-space rather than a direction.

In order to store the result in the same vector, use Matrix4x3dc.transformPosition(Vector3d).

Specified by:

transformPosition in interface Matrix4x3dc

Parameters:

v - the vector to transform

dest - will hold the result

Returns:

dest

See Also:

• Matrix4x3dc.transformPosition(Vector3d)
• Matrix4x3dc.transform(Vector4dc, Vector4d)

transformDirection

public Vector3d transformDirection(Vector3d v)

Description copied from interface: Matrix4x3dc

Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in that vector.

The given 3D-vector is treated as a 4D-vector with its w-component being 0.0, so it will represent a direction in 3D-space rather than a position. This method will therefore not take the translation part of the matrix into account.

In order to store the result in another vector, use Matrix4x3dc.transformDirection(Vector3dc, Vector3d).

Specified by:

transformDirection in interface Matrix4x3dc

Parameters:

v - the vector to transform and to hold the final result

Returns:

v

transformDirection

public Vector3d transformDirection(Vector3dc v,
 Vector3d dest)

Description copied from interface: Matrix4x3dc

Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in dest.

The given 3D-vector is treated as a 4D-vector with its w-component being 0.0, so it will represent a direction in 3D-space rather than a position. This method will therefore not take the translation part of the matrix into account.

In order to store the result in the same vector, use Matrix4x3dc.transformDirection(Vector3d).

Specified by:

transformDirection in interface Matrix4x3dc

Parameters:

v - the vector to transform and to hold the final result

dest - will hold the result

Returns:

dest

set3x3

public Matrix4x3d set3x3(Matrix3dc mat)

Set the left 3x3 submatrix of this Matrix4x3d to the given Matrix3dc and don't change the other elements.

Parameters:

mat - the 3x3 matrix

Returns:

this

set3x3

public Matrix4x3d set3x3(Matrix3fc mat)

Set the left 3x3 submatrix of this Matrix4x3d to the given Matrix3fc and don't change the other elements.

Parameters:

mat - the 3x3 matrix

Returns:

this

scale

public Matrix4x3d scale(Vector3dc xyz,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply scaling to this matrix by scaling the base axes by the given xyz.x, xyz.y and xyz.z factors, respectively and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!

Specified by:

scale in interface Matrix4x3dc

Parameters:

xyz - the factors of the x, y and z component, respectively

dest - will hold the result

Returns:

dest

scale

public Matrix4x3d scale(Vector3dc xyz)

Apply scaling to this matrix by scaling the base axes by the given xyz.x, xyz.y and xyz.z factors, respectively.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

Parameters:

xyz - the factors of the x, y and z component, respectively

Returns:

this

scale

public Matrix4x3d scale(double x,
 double y,
 double z,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply scaling to this matrix by scaling the base axes by the given x, y and z factors and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!

Specified by:

scale in interface Matrix4x3dc

Parameters:

x - the factor of the x component

y - the factor of the y component

z - the factor of the z component

dest - will hold the result

Returns:

dest

scale

public Matrix4x3d scale(double x,
 double y,
 double z)

Apply scaling to this matrix by scaling the base axes by the given x, y and z factors.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!

Parameters:

x - the factor of the x component

y - the factor of the y component

z - the factor of the z component

Returns:

this

scale

public Matrix4x3d scale(double xyz,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!

Specified by:

scale in interface Matrix4x3dc

Parameters:

xyz - the factor for all components

dest - will hold the result

Returns:

dest

See Also:

• Matrix4x3dc.scale(double, double, double, Matrix4x3d)

scale

public Matrix4x3d scale(double xyz)

Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!

Parameters:

xyz - the factor for all components

Returns:

this

See Also:

• scale(double, double, double)

scaleXY

public Matrix4x3d scaleXY(double x,
 double y,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply scaling to this matrix by by scaling the X axis by x and the Y axis by y and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

Specified by:

scaleXY in interface Matrix4x3dc

Parameters:

x - the factor of the x component

y - the factor of the y component

dest - will hold the result

Returns:

dest

scaleXY

public Matrix4x3d scaleXY(double x,
 double y)

Apply scaling to this matrix by scaling the X axis by x and the Y axis by y.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

Parameters:

x - the factor of the x component

y - the factor of the y component

Returns:

this

scaleAround

public Matrix4x3d scaleAround(double sx,
 double sy,
 double sz,
 double ox,
 double oy,
 double oz,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using (ox, oy, oz) as the scaling origin, and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!

This method is equivalent to calling: translate(ox, oy, oz, dest).scale(sx, sy, sz).translate(-ox, -oy, -oz)

Specified by:

scaleAround in interface Matrix4x3dc

Parameters:

sx - the scaling factor of the x component

sy - the scaling factor of the y component

sz - the scaling factor of the z component

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

oz - the z coordinate of the scaling origin

dest - will hold the result

Returns:

dest

scaleAround

public Matrix4x3d scaleAround(double sx,
 double sy,
 double sz,
 double ox,
 double oy,
 double oz)

Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using (ox, oy, oz) as the scaling origin.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

This method is equivalent to calling: translate(ox, oy, oz).scale(sx, sy, sz).translate(-ox, -oy, -oz)

Parameters:

sx - the scaling factor of the x component

sy - the scaling factor of the y component

sz - the scaling factor of the z component

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

oz - the z coordinate of the scaling origin

Returns:

this

scaleAround

public Matrix4x3d scaleAround(double factor,
 double ox,
 double oy,
 double oz)

Apply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

This method is equivalent to calling: translate(ox, oy, oz).scale(factor).translate(-ox, -oy, -oz)

Parameters:

factor - the scaling factor for all three axes

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

oz - the z coordinate of the scaling origin

Returns:

this

scaleAround

public Matrix4x3d scaleAround(double factor,
 double ox,
 double oy,
 double oz,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin, and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!

This method is equivalent to calling: translate(ox, oy, oz, dest).scale(factor).translate(-ox, -oy, -oz)

Specified by:

scaleAround in interface Matrix4x3dc

Parameters:

factor - the scaling factor for all three axes

ox - the x coordinate of the scaling origin

oy - the y coordinate of the scaling origin

oz - the z coordinate of the scaling origin

dest - will hold the result

Returns:

this

scaleLocal

public Matrix4x3d scaleLocal(double x,
 double y,
 double z,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Pre-multiply scaling to this matrix by scaling the base axes by the given x, y and z factors and store the result in dest.

If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v , the scaling will be applied last!

Specified by:

scaleLocal in interface Matrix4x3dc

Parameters:

x - the factor of the x component

y - the factor of the y component

z - the factor of the z component

dest - will hold the result

Returns:

dest

scaleLocal

public Matrix4x3d scaleLocal(double x,
 double y,
 double z)

Pre-multiply scaling to this matrix by scaling the base axes by the given x, y and z factors.

If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v, the scaling will be applied last!

Parameters:

x - the factor of the x component

y - the factor of the y component

z - the factor of the z component

Returns:

this

rotate

public Matrix4x3d rotate(double ang,
 double x,
 double y,
 double z,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply rotation to this matrix by rotating the given amount of radians about the given axis specified as x, y and z components and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v , the rotation will be applied first!

Specified by:

rotate in interface Matrix4x3dc

Parameters:

ang - the angle is in radians

x - the x component of the axis

y - the y component of the axis

z - the z component of the axis

dest - will hold the result

Returns:

dest

rotate

public Matrix4x3d rotate(double ang,
 double x,
 double y,
 double z)

Apply rotation to this matrix by rotating the given amount of radians about the given axis specified as x, y and z components.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v , the rotation will be applied first!

In order to set the matrix to a rotation matrix without post-multiplying the rotation transformation, use rotation().

Parameters:

ang - the angle is in radians

x - the x component of the axis

y - the y component of the axis

z - the z component of the axis

Returns:

this

See Also:

• rotation(double, double, double, double)

rotateTranslation

public Matrix4x3d rotateTranslation(double ang,
 double x,
 double y,
 double z,
 Matrix4x3d dest)

Apply rotation to this matrix, which is assumed to only contain a translation, by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.

This method assumes this to only contain a translation.

The axis described by the three components needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

In order to set the matrix to a rotation matrix without post-multiplying the rotation transformation, use rotation().

Reference: http://en.wikipedia.org

Specified by:

rotateTranslation in interface Matrix4x3dc

Parameters:

ang - the angle in radians

x - the x component of the axis

y - the y component of the axis

z - the z component of the axis

dest - will hold the result

Returns:

dest

See Also:

• rotation(double, double, double, double)

rotateAround

public Matrix4x3d rotateAround(Quaterniondc quat,
 double ox,
 double oy,
 double oz)

Apply the rotation transformation of the given Quaterniondc to this matrix while using (ox, oy, oz) as the rotation origin.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

This method is equivalent to calling: translate(ox, oy, oz).rotate(quat).translate(-ox, -oy, -oz)

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaterniondc

ox - the x coordinate of the rotation origin

oy - the y coordinate of the rotation origin

oz - the z coordinate of the rotation origin

Returns:

this

rotateAround

public Matrix4x3d rotateAround(Quaterniondc quat,
 double ox,
 double oy,
 double oz,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix while using (ox, oy, oz) as the rotation origin, and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

This method is equivalent to calling: translate(ox, oy, oz, dest).rotate(quat).translate(-ox, -oy, -oz)

Reference: http://en.wikipedia.org

Specified by:

rotateAround in interface Matrix4x3dc

Parameters:

quat - the Quaterniondc

ox - the x coordinate of the rotation origin

oy - the y coordinate of the rotation origin

oz - the z coordinate of the rotation origin

dest - will hold the result

Returns:

dest

rotationAround

public Matrix4x3d rotationAround(Quaterniondc quat,
 double ox,
 double oy,
 double oz)

Set this matrix to a transformation composed of a rotation of the specified Quaterniondc while using (ox, oy, oz) as the rotation origin.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(ox, oy, oz).rotate(quat).translate(-ox, -oy, -oz)

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaterniondc

ox - the x coordinate of the rotation origin

oy - the y coordinate of the rotation origin

oz - the z coordinate of the rotation origin

Returns:

this

rotateLocal

public Matrix4x3d rotateLocal(double ang,
 double x,
 double y,
 double z,
 Matrix4x3d dest)

Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.

The axis described by the three components needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotation().

Reference: http://en.wikipedia.org

Specified by:

rotateLocal in interface Matrix4x3dc

Parameters:

ang - the angle in radians

x - the x component of the axis

y - the y component of the axis

z - the z component of the axis

dest - will hold the result

Returns:

dest

See Also:

• rotation(double, double, double, double)

rotateLocal

public Matrix4x3d rotateLocal(double ang,
 double x,
 double y,
 double z)

Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis.

The axis described by the three components needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotation().

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

x - the x component of the axis

y - the y component of the axis

z - the z component of the axis

Returns:

this

See Also:

• rotation(double, double, double, double)

rotateLocalX

public Matrix4x3d rotateLocalX(double ang,
 Matrix4x3d dest)

Pre-multiply a rotation around the X axis to this matrix by rotating the given amount of radians about the X axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationX().

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians to rotate about the X axis

dest - will hold the result

Returns:

dest

See Also:

• rotationX(double)

rotateLocalX

public Matrix4x3d rotateLocalX(double ang)

Pre-multiply a rotation to this matrix by rotating the given amount of radians about the X axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationX().

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians to rotate about the X axis

Returns:

this

See Also:

• rotationX(double)

rotateLocalY

public Matrix4x3d rotateLocalY(double ang,
 Matrix4x3d dest)

Pre-multiply a rotation around the Y axis to this matrix by rotating the given amount of radians about the Y axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationY().

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians to rotate about the Y axis

dest - will hold the result

Returns:

dest

See Also:

• rotationY(double)

rotateLocalY

public Matrix4x3d rotateLocalY(double ang)

Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Y axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationY().

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians to rotate about the Y axis

Returns:

this

See Also:

• rotationY(double)

rotateLocalZ

public Matrix4x3d rotateLocalZ(double ang,
 Matrix4x3d dest)

Pre-multiply a rotation around the Z axis to this matrix by rotating the given amount of radians about the Z axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationZ().

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians to rotate about the Z axis

dest - will hold the result

Returns:

dest

See Also:

• rotationZ(double)

rotateLocalZ

public Matrix4x3d rotateLocalZ(double ang)

Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!

In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationY().

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians to rotate about the Z axis

Returns:

this

See Also:

• rotationY(double)

translate

public Matrix4x3d translate(Vector3dc offset)

Apply a translation to this matrix by translating by the given number of units in x, y and z.

If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!

In order to set the matrix to a translation transformation without post-multiplying it, use translation(Vector3dc).

Parameters:

offset - the number of units in x, y and z by which to translate

Returns:

this

See Also:

• translation(Vector3dc)

translate

public Matrix4x3d translate(Vector3dc offset,
 Matrix4x3d dest)

Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.

If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!

In order to set the matrix to a translation transformation without post-multiplying it, use translation(Vector3dc).

Specified by:

translate in interface Matrix4x3dc

Parameters:

offset - the number of units in x, y and z by which to translate

dest - will hold the result

Returns:

dest

See Also:

• translation(Vector3dc)

translate

public Matrix4x3d translate(Vector3fc offset)

Apply a translation to this matrix by translating by the given number of units in x, y and z.

If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!

In order to set the matrix to a translation transformation without post-multiplying it, use translation(Vector3fc).

Parameters:

offset - the number of units in x, y and z by which to translate

Returns:

this

See Also:

• translation(Vector3fc)

translate

public Matrix4x3d translate(Vector3fc offset,
 Matrix4x3d dest)

Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.

If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!

In order to set the matrix to a translation transformation without post-multiplying it, use translation(Vector3fc).

Specified by:

translate in interface Matrix4x3dc

Parameters:

offset - the number of units in x, y and z by which to translate

dest - will hold the result

Returns:

dest

See Also:

• translation(Vector3fc)

translate

public Matrix4x3d translate(double x,
 double y,
 double z,
 Matrix4x3d dest)

Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.

If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!

In order to set the matrix to a translation transformation without post-multiplying it, use translation(double, double, double).

Specified by:

translate in interface Matrix4x3dc

Parameters:

x - the offset to translate in x

y - the offset to translate in y

z - the offset to translate in z

dest - will hold the result

Returns:

dest

See Also:

• translation(double, double, double)

translate

public Matrix4x3d translate(double x,
 double y,
 double z)

Apply a translation to this matrix by translating by the given number of units in x, y and z.

If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!

In order to set the matrix to a translation transformation without post-multiplying it, use translation(double, double, double).

Parameters:

x - the offset to translate in x

y - the offset to translate in y

z - the offset to translate in z

Returns:

this

See Also:

• translation(double, double, double)

translateLocal

public Matrix4x3d translateLocal(Vector3fc offset)

Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.

If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!

In order to set the matrix to a translation transformation without pre-multiplying it, use translation(Vector3fc).

Parameters:

offset - the number of units in x, y and z by which to translate

Returns:

this

See Also:

• translation(Vector3fc)

translateLocal

public Matrix4x3d translateLocal(Vector3fc offset,
 Matrix4x3d dest)

Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.

If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!

In order to set the matrix to a translation transformation without pre-multiplying it, use translation(Vector3fc).

Specified by:

translateLocal in interface Matrix4x3dc

Parameters:

offset - the number of units in x, y and z by which to translate

dest - will hold the result

Returns:

dest

See Also:

• translation(Vector3fc)

translateLocal

public Matrix4x3d translateLocal(Vector3dc offset)

Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.

If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!

In order to set the matrix to a translation transformation without pre-multiplying it, use translation(Vector3dc).

Parameters:

offset - the number of units in x, y and z by which to translate

Returns:

this

See Also:

• translation(Vector3dc)

translateLocal

public Matrix4x3d translateLocal(Vector3dc offset,
 Matrix4x3d dest)

Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.

If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!

In order to set the matrix to a translation transformation without pre-multiplying it, use translation(Vector3dc).

Specified by:

translateLocal in interface Matrix4x3dc

Parameters:

offset - the number of units in x, y and z by which to translate

dest - will hold the result

Returns:

dest

See Also:

• translation(Vector3dc)

translateLocal

public Matrix4x3d translateLocal(double x,
 double y,
 double z,
 Matrix4x3d dest)

Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.

If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!

In order to set the matrix to a translation transformation without pre-multiplying it, use translation(double, double, double).

Specified by:

translateLocal in interface Matrix4x3dc

Parameters:

x - the offset to translate in x

y - the offset to translate in y

z - the offset to translate in z

dest - will hold the result

Returns:

dest

See Also:

• translation(double, double, double)

translateLocal

public Matrix4x3d translateLocal(double x,
 double y,
 double z)

Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.

If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!

In order to set the matrix to a translation transformation without pre-multiplying it, use translation(double, double, double).

Parameters:

x - the offset to translate in x

y - the offset to translate in y

z - the offset to translate in z

Returns:

this

See Also:

• translation(double, double, double)

writeExternal

public void writeExternal(ObjectOutput out)
                   throws IOException

Specified by:

writeExternal in interface Externalizable

Throws:

IOException

readExternal

public void readExternal(ObjectInput in)
                  throws IOException

Specified by:

readExternal in interface Externalizable

Throws:

IOException

rotateX

public Matrix4x3d rotateX(double ang,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply rotation about the X axis to this matrix by rotating the given amount of radians and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Reference: http://en.wikipedia.org

Specified by:

rotateX in interface Matrix4x3dc

Parameters:

ang - the angle in radians

dest - will hold the result

Returns:

dest

rotateX

public Matrix4x3d rotateX(double ang)

Apply rotation about the X axis to this matrix by rotating the given amount of radians.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

Returns:

this

rotateY

public Matrix4x3d rotateY(double ang,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply rotation about the Y axis to this matrix by rotating the given amount of radians and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Reference: http://en.wikipedia.org

Specified by:

rotateY in interface Matrix4x3dc

Parameters:

ang - the angle in radians

dest - will hold the result

Returns:

dest

rotateY

public Matrix4x3d rotateY(double ang)

Apply rotation about the Y axis to this matrix by rotating the given amount of radians.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

Returns:

this

rotateZ

public Matrix4x3d rotateZ(double ang,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply rotation about the Z axis to this matrix by rotating the given amount of radians and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Reference: http://en.wikipedia.org

Specified by:

rotateZ in interface Matrix4x3dc

Parameters:

ang - the angle in radians

dest - will hold the result

Returns:

dest

rotateZ

public Matrix4x3d rotateZ(double ang)

Apply rotation about the Z axis to this matrix by rotating the given amount of radians.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

Reference: http://en.wikipedia.org

Parameters:

ang - the angle in radians

Returns:

this

rotateXYZ

public Matrix4x3d rotateXYZ(Vector3d angles)

Apply rotation of angles.x radians about the X axis, followed by a rotation of angles.y radians about the Y axis and followed by a rotation of angles.z radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateX(angles.x).rotateY(angles.y).rotateZ(angles.z)

Parameters:

angles - the Euler angles

Returns:

this

rotateXYZ

public Matrix4x3d rotateXYZ(double angleX,
 double angleY,
 double angleZ)

Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateX(angleX).rotateY(angleY).rotateZ(angleZ)

Parameters:

angleX - the angle to rotate about X

angleY - the angle to rotate about Y

angleZ - the angle to rotate about Z

Returns:

this

rotateXYZ

public Matrix4x3d rotateXYZ(double angleX,
 double angleY,
 double angleZ,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateX(angleX, dest).rotateY(angleY).rotateZ(angleZ)

Specified by:

rotateXYZ in interface Matrix4x3dc

Parameters:

angleX - the angle to rotate about X

angleY - the angle to rotate about Y

angleZ - the angle to rotate about Z

dest - will hold the result

Returns:

dest

rotateZYX

public Matrix4x3d rotateZYX(Vector3d angles)

Apply rotation of angles.z radians about the Z axis, followed by a rotation of angles.y radians about the Y axis and followed by a rotation of angles.x radians about the X axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateZ(angles.z).rotateY(angles.y).rotateX(angles.x)

Parameters:

angles - the Euler angles

Returns:

this

rotateZYX

public Matrix4x3d rotateZYX(double angleZ,
 double angleY,
 double angleX)

Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateZ(angleZ).rotateY(angleY).rotateX(angleX)

Parameters:

angleZ - the angle to rotate about Z

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

Returns:

this

rotateZYX

public Matrix4x3d rotateZYX(double angleZ,
 double angleY,
 double angleX,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateZ(angleZ, dest).rotateY(angleY).rotateX(angleX)

Specified by:

rotateZYX in interface Matrix4x3dc

Parameters:

angleZ - the angle to rotate about Z

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

dest - will hold the result

Returns:

dest

rotateYXZ

public Matrix4x3d rotateYXZ(Vector3d angles)

Apply rotation of angles.y radians about the Y axis, followed by a rotation of angles.x radians about the X axis and followed by a rotation of angles.z radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateY(angles.y).rotateX(angles.x).rotateZ(angles.z)

Parameters:

angles - the Euler angles

Returns:

this

rotateYXZ

public Matrix4x3d rotateYXZ(double angleY,
 double angleX,
 double angleZ)

Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateY(angleY).rotateX(angleX).rotateZ(angleZ)

Parameters:

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

angleZ - the angle to rotate about Z

Returns:

this

rotateYXZ

public Matrix4x3d rotateYXZ(double angleY,
 double angleX,
 double angleZ,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!

This method is equivalent to calling: rotateY(angleY, dest).rotateX(angleX).rotateZ(angleZ)

Specified by:

rotateYXZ in interface Matrix4x3dc

Parameters:

angleY - the angle to rotate about Y

angleX - the angle to rotate about X

angleZ - the angle to rotate about Z

dest - will hold the result

Returns:

dest

rotation

public Matrix4x3d rotation(AxisAngle4f angleAxis)

Set this matrix to a rotation transformation using the given AxisAngle4f.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.

In order to apply the rotation transformation to an existing transformation, use rotate() instead.

Reference: http://en.wikipedia.org

Parameters:

angleAxis - the AxisAngle4f (needs to be normalized)

Returns:

this

See Also:

• rotate(AxisAngle4f)

rotation

public Matrix4x3d rotation(AxisAngle4d angleAxis)

Set this matrix to a rotation transformation using the given AxisAngle4d.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.

In order to apply the rotation transformation to an existing transformation, use rotate() instead.

Reference: http://en.wikipedia.org

Parameters:

angleAxis - the AxisAngle4d (needs to be normalized)

Returns:

this

See Also:

• rotate(AxisAngle4d)

rotation

public Matrix4x3d rotation(Quaterniondc quat)

Set this matrix to the rotation - and possibly scaling - transformation of the given Quaterniondc.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.

In order to apply the rotation transformation to an existing transformation, use rotate() instead.

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaterniondc

Returns:

this

See Also:

• rotate(Quaterniondc)

rotation

public Matrix4x3d rotation(Quaternionfc quat)

Set this matrix to the rotation - and possibly scaling - transformation of the given Quaternionfc.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.

In order to apply the rotation transformation to an existing transformation, use rotate() instead.

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

Returns:

this

See Also:

• rotate(Quaternionfc)

translationRotateScale

public Matrix4x3d translationRotateScale(double tx,
 double ty,
 double tz,
 double qx,
 double qy,
 double qz,
 double qw,
 double sx,
 double sy,
 double sz)

Set this matrix to T * R * S, where T is a translation by the given (tx, ty, tz), R is a rotation transformation specified by the quaternion (qx, qy, qz, qw), and S is a scaling transformation which scales the three axes x, y and z by (sx, sy, sz).

When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(tx, ty, tz).rotate(quat).scale(sx, sy, sz)

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

qx - the x-coordinate of the vector part of the quaternion

qy - the y-coordinate of the vector part of the quaternion

qz - the z-coordinate of the vector part of the quaternion

qw - the scalar part of the quaternion

sx - the scaling factor for the x-axis

sy - the scaling factor for the y-axis

sz - the scaling factor for the z-axis

Returns:

this

See Also:

• translation(double, double, double)
• rotate(Quaterniondc)
• scale(double, double, double)

translationRotateScale

public Matrix4x3d translationRotateScale(Vector3fc translation,
 Quaternionfc quat,
 Vector3fc scale)

Set this matrix to T * R * S, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales the axes by scale.

When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(translation).rotate(quat).scale(scale)

Parameters:

translation - the translation

quat - the quaternion representing a rotation

scale - the scaling factors

Returns:

this

See Also:

• translation(Vector3fc)
• rotate(Quaternionfc)

translationRotateScale

public Matrix4x3d translationRotateScale(Vector3dc translation,
 Quaterniondc quat,
 Vector3dc scale)

Set this matrix to T * R * S, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales the axes by scale.

When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(translation).rotate(quat).scale(scale)

Parameters:

translation - the translation

quat - the quaternion representing a rotation

scale - the scaling factors

Returns:

this

See Also:

• translation(Vector3dc)
• rotate(Quaterniondc)

translationRotateScaleMul

public Matrix4x3d translationRotateScaleMul(double tx,
 double ty,
 double tz,
 double qx,
 double qy,
 double qz,
 double qw,
 double sx,
 double sy,
 double sz,
 Matrix4x3dc m)

Set this matrix to T * R * S * M, where T is a translation by the given (tx, ty, tz), R is a rotation transformation specified by the quaternion (qx, qy, qz, qw), S is a scaling transformation which scales the three axes x, y and z by (sx, sy, sz).

When transforming a vector by the resulting matrix the transformation described by M will be applied first, then the scaling, then rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(tx, ty, tz).rotate(quat).scale(sx, sy, sz).mul(m)

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

qx - the x-coordinate of the vector part of the quaternion

qy - the y-coordinate of the vector part of the quaternion

qz - the z-coordinate of the vector part of the quaternion

qw - the scalar part of the quaternion

sx - the scaling factor for the x-axis

sy - the scaling factor for the y-axis

sz - the scaling factor for the z-axis

m - the matrix to multiply by

Returns:

this

See Also:

• translation(double, double, double)
• rotate(Quaterniondc)
• scale(double, double, double)
• mul(Matrix4x3dc)

translationRotateScaleMul

public Matrix4x3d translationRotateScaleMul(Vector3dc translation,
 Quaterniondc quat,
 Vector3dc scale,
 Matrix4x3dc m)

Set this matrix to T * R * S * M, where T is the given translation, R is a rotation transformation specified by the given quaternion, S is a scaling transformation which scales the axes by scale.

When transforming a vector by the resulting matrix the transformation described by M will be applied first, then the scaling, then rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(translation).rotate(quat).scale(scale).mul(m)

Parameters:

translation - the translation

quat - the quaternion representing a rotation

scale - the scaling factors

m - the matrix to multiply by

Returns:

this

See Also:

• translation(Vector3dc)
• rotate(Quaterniondc)
• mul(Matrix4x3dc)

translationRotate

public Matrix4x3d translationRotate(double tx,
 double ty,
 double tz,
 Quaterniondc quat)

Set this matrix to T * R, where T is a translation by the given (tx, ty, tz) and R is a rotation transformation specified by the given quaternion.

When transforming a vector by the resulting matrix the rotation transformation will be applied first and then the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(tx, ty, tz).rotate(quat)

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

quat - the quaternion representing a rotation

Returns:

this

See Also:

• translation(double, double, double)
• rotate(Quaterniondc)

translationRotate

public Matrix4x3d translationRotate(double tx,
 double ty,
 double tz,
 double qx,
 double qy,
 double qz,
 double qw)

Set this matrix to T * R, where T is a translation by the given (tx, ty, tz) and R is a rotation - and possibly scaling - transformation specified by the quaternion (qx, qy, qz, qw).

When transforming a vector by the resulting matrix the rotation - and possibly scaling - transformation will be applied first and then the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(tx, ty, tz).rotate(quat)

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

qx - the x-coordinate of the vector part of the quaternion

qy - the y-coordinate of the vector part of the quaternion

qz - the z-coordinate of the vector part of the quaternion

qw - the scalar part of the quaternion

Returns:

this

See Also:

• translation(double, double, double)
• rotate(Quaterniondc)

translationRotate

public Matrix4x3d translationRotate(Vector3dc translation,
 Quaterniondc quat)

Set this matrix to T * R, where T is the given translation and R is a rotation transformation specified by the given quaternion.

When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(translation).rotate(quat)

Parameters:

translation - the translation

quat - the quaternion representing a rotation

Returns:

this

See Also:

• translation(Vector3dc)
• rotate(Quaterniondc)

translationRotateMul

public Matrix4x3d translationRotateMul(double tx,
 double ty,
 double tz,
 Quaternionfc quat,
 Matrix4x3dc mat)

Set this matrix to T * R * M, where T is a translation by the given (tx, ty, tz), R is a rotation - and possibly scaling - transformation specified by the given quaternion and M is the given matrix mat.

When transforming a vector by the resulting matrix the transformation described by M will be applied first, then the scaling, then rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(tx, ty, tz).rotate(quat).mul(mat)

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

quat - the quaternion representing a rotation

mat - the matrix to multiply with

Returns:

this

See Also:

• translation(double, double, double)
• rotate(Quaternionfc)
• mul(Matrix4x3dc)

translationRotateMul

public Matrix4x3d translationRotateMul(double tx,
 double ty,
 double tz,
 double qx,
 double qy,
 double qz,
 double qw,
 Matrix4x3dc mat)

Set this matrix to T * R * M, where T is a translation by the given (tx, ty, tz), R is a rotation - and possibly scaling - transformation specified by the quaternion (qx, qy, qz, qw) and M is the given matrix mat

When transforming a vector by the resulting matrix the transformation described by M will be applied first, then the scaling, then rotation and at last the translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

This method is equivalent to calling: translation(tx, ty, tz).rotate(quat).mul(mat)

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

qx - the x-coordinate of the vector part of the quaternion

qy - the y-coordinate of the vector part of the quaternion

qz - the z-coordinate of the vector part of the quaternion

qw - the scalar part of the quaternion

mat - the matrix to multiply with

Returns:

this

See Also:

• translation(double, double, double)
• rotate(Quaternionfc)
• mul(Matrix4x3dc)

translationRotateInvert

public Matrix4x3d translationRotateInvert(double tx,
 double ty,
 double tz,
 double qx,
 double qy,
 double qz,
 double qw)

Set this matrix to (T * R)-1, where T is a translation by the given (tx, ty, tz) and R is a rotation transformation specified by the quaternion (qx, qy, qz, qw).

This method is equivalent to calling: translationRotate(...).invert()

Parameters:

tx - the number of units by which to translate the x-component

ty - the number of units by which to translate the y-component

tz - the number of units by which to translate the z-component

qx - the x-coordinate of the vector part of the quaternion

qy - the y-coordinate of the vector part of the quaternion

qz - the z-coordinate of the vector part of the quaternion

qw - the scalar part of the quaternion

Returns:

this

See Also:

• translationRotate(double, double, double, double, double, double, double)
• invert()

translationRotateInvert

public Matrix4x3d translationRotateInvert(Vector3dc translation,
 Quaterniondc quat)

Set this matrix to (T * R)-1, where T is the given translation and R is a rotation transformation specified by the given quaternion.

This method is equivalent to calling: translationRotate(...).invert()

Parameters:

translation - the translation

quat - the quaternion representing a rotation

Returns:

this

See Also:

• translationRotate(Vector3dc, Quaterniondc)
• invert()

rotate

public Matrix4x3d rotate(Quaterniondc quat,
 Matrix4x3d dest)

Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaterniondc).

Reference: http://en.wikipedia.org

Specified by:

rotate in interface Matrix4x3dc

Parameters:

quat - the Quaterniondc

dest - will hold the result

Returns:

dest

See Also:

• rotation(Quaterniondc)

rotate

public Matrix4x3d rotate(Quaternionfc quat,
 Matrix4x3d dest)

Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionfc).

Reference: http://en.wikipedia.org

Specified by:

rotate in interface Matrix4x3dc

Parameters:

quat - the Quaternionfc

dest - will hold the result

Returns:

dest

See Also:

• rotation(Quaternionfc)

rotate

public Matrix4x3d rotate(Quaterniondc quat)

Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaterniondc).

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaterniondc

Returns:

this

See Also:

• rotation(Quaterniondc)

rotate

public Matrix4x3d rotate(Quaternionfc quat)

Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionfc).

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

Returns:

this

See Also:

• rotation(Quaternionfc)

rotateTranslation

public Matrix4x3d rotateTranslation(Quaterniondc quat,
 Matrix4x3d dest)

Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix, which is assumed to only contain a translation, and store the result in dest.

This method assumes this to only contain a translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaterniondc).

Reference: http://en.wikipedia.org

Specified by:

rotateTranslation in interface Matrix4x3dc

Parameters:

quat - the Quaterniondc

dest - will hold the result

Returns:

dest

See Also:

• rotation(Quaterniondc)

rotateTranslation

public Matrix4x3d rotateTranslation(Quaternionfc quat,
 Matrix4x3d dest)

Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix, which is assumed to only contain a translation, and store the result in dest.

This method assumes this to only contain a translation.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionfc).

Reference: http://en.wikipedia.org

Specified by:

rotateTranslation in interface Matrix4x3dc

Parameters:

quat - the Quaternionfc

dest - will hold the result

Returns:

dest

See Also:

• rotation(Quaternionfc)

rotateLocal

public Matrix4x3d rotateLocal(Quaterniondc quat,
 Matrix4x3d dest)

Pre-multiply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!

In order to set the matrix to a rotation transformation without pre-multiplying, use rotation(Quaterniondc).

Reference: http://en.wikipedia.org

Specified by:

rotateLocal in interface Matrix4x3dc

Parameters:

quat - the Quaterniondc

dest - will hold the result

Returns:

dest

See Also:

• rotation(Quaterniondc)

rotateLocal

public Matrix4x3d rotateLocal(Quaterniondc quat)

Pre-multiply the rotation transformation of the given Quaterniondc to this matrix.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!

In order to set the matrix to a rotation transformation without pre-multiplying, use rotation(Quaterniondc).

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaterniondc

Returns:

this

See Also:

• rotation(Quaterniondc)

rotateLocal

public Matrix4x3d rotateLocal(Quaternionfc quat,
 Matrix4x3d dest)

Pre-multiply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!

In order to set the matrix to a rotation transformation without pre-multiplying, use rotation(Quaternionfc).

Reference: http://en.wikipedia.org

Specified by:

rotateLocal in interface Matrix4x3dc

Parameters:

quat - the Quaternionfc

dest - will hold the result

Returns:

dest

See Also:

• rotation(Quaternionfc)

rotateLocal

public Matrix4x3d rotateLocal(Quaternionfc quat)

Pre-multiply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!

In order to set the matrix to a rotation transformation without pre-multiplying, use rotation(Quaternionfc).

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

Returns:

this

See Also:

• rotation(Quaternionfc)

rotate

public Matrix4x3d rotate(AxisAngle4f axisAngle)

Apply a rotation transformation, rotating about the given AxisAngle4f, to this matrix.

The axis described by the axis vector needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and A the rotation matrix obtained from the given AxisAngle4f, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the AxisAngle4f rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(AxisAngle4f).

Reference: http://en.wikipedia.org

Parameters:

axisAngle - the AxisAngle4f (needs to be normalized)

Returns:

this

See Also:

• rotate(double, double, double, double)
• rotation(AxisAngle4f)

rotate

public Matrix4x3d rotate(AxisAngle4f axisAngle,
 Matrix4x3d dest)

Apply a rotation transformation, rotating about the given AxisAngle4f and store the result in dest.

The axis described by the axis vector needs to be a unit vector.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and A the rotation matrix obtained from the given AxisAngle4f, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the AxisAngle4f rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(AxisAngle4f).

Reference: http://en.wikipedia.org

Specified by:

rotate in interface Matrix4x3dc

Parameters:

axisAngle - the AxisAngle4f (needs to be normalized)

dest - will hold the result

Returns:

dest

See Also:

• rotate(double, double, double, double)
• rotation(AxisAngle4f)

rotate

public Matrix4x3d rotate(AxisAngle4d axisAngle)

Apply a rotation transformation, rotating about the given AxisAngle4d, to this matrix.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and A the rotation matrix obtained from the given AxisAngle4d, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the AxisAngle4d rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(AxisAngle4d).

Reference: http://en.wikipedia.org

Parameters:

axisAngle - the AxisAngle4d (needs to be normalized)

Returns:

this

See Also:

• rotate(double, double, double, double)
• rotation(AxisAngle4d)

rotate

public Matrix4x3d rotate(AxisAngle4d axisAngle,
 Matrix4x3d dest)

Apply a rotation transformation, rotating about the given AxisAngle4d and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and A the rotation matrix obtained from the given AxisAngle4d, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the AxisAngle4d rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(AxisAngle4d).

Reference: http://en.wikipedia.org

Specified by:

rotate in interface Matrix4x3dc

Parameters:

axisAngle - the AxisAngle4d (needs to be normalized)

dest - will hold the result

Returns:

dest

See Also:

• rotate(double, double, double, double)
• rotation(AxisAngle4d)

rotate

public Matrix4x3d rotate(double angle,
 Vector3dc axis)

Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and A the rotation matrix obtained from the given angle and axis, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(double, Vector3dc).

Reference: http://en.wikipedia.org

Parameters:

angle - the angle in radians

axis - the rotation axis (needs to be normalized)

Returns:

this

See Also:

• rotate(double, double, double, double)
• rotation(double, Vector3dc)

rotate

public Matrix4x3d rotate(double angle,
 Vector3dc axis,
 Matrix4x3d dest)

Apply a rotation transformation, rotating the given radians about the specified axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and A the rotation matrix obtained from the given angle and axis, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(double, Vector3dc).

Reference: http://en.wikipedia.org

Specified by:

rotate in interface Matrix4x3dc

Parameters:

angle - the angle in radians

axis - the rotation axis (needs to be normalized)

dest - will hold the result

Returns:

dest

See Also:

• rotate(double, double, double, double)
• rotation(double, Vector3dc)

rotate

public Matrix4x3d rotate(double angle,
 Vector3fc axis)

Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and A the rotation matrix obtained from the given angle and axis, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(double, Vector3fc).

Reference: http://en.wikipedia.org

Parameters:

angle - the angle in radians

axis - the rotation axis (needs to be normalized)

Returns:

this

See Also:

• rotate(double, double, double, double)
• rotation(double, Vector3fc)

rotate

public Matrix4x3d rotate(double angle,
 Vector3fc axis,
 Matrix4x3d dest)

Apply a rotation transformation, rotating the given radians about the specified axis and store the result in dest.

When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.

If M is this matrix and A the rotation matrix obtained from the given angle and axis, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying, use rotation(double, Vector3fc).

Reference: http://en.wikipedia.org

Specified by:

rotate in interface Matrix4x3dc

Parameters:

angle - the angle in radians

axis - the rotation axis (needs to be normalized)

dest - will hold the result

Returns:

dest

See Also:

• rotate(double, double, double, double)
• rotation(double, Vector3fc)

getRow

public Vector4d getRow(int row,
 Vector4d dest)
                throws IndexOutOfBoundsException

Description copied from interface: Matrix4x3dc

Get the row at the given row index, starting with 0.

Specified by:

getRow in interface Matrix4x3dc

Parameters:

row - the row index in [0..2]

dest - will hold the row components

Returns:

the passed in destination

Throws:

IndexOutOfBoundsException - if row is not in [0..2]

setRow

public Matrix4x3d setRow(int row,
 Vector4dc src)
                  throws IndexOutOfBoundsException

Set the row at the given row index, starting with 0.

Parameters:

row - the row index in [0..2]

src - the row components to set

Returns:

this

Throws:

IndexOutOfBoundsException - if row is not in [0..2]

getColumn

public Vector3d getColumn(int column,
 Vector3d dest)
                   throws IndexOutOfBoundsException

Description copied from interface: Matrix4x3dc

Get the column at the given column index, starting with 0.

Specified by:

getColumn in interface Matrix4x3dc

Parameters:

column - the column index in [0..3]

dest - will hold the column components

Returns:

the passed in destination

Throws:

IndexOutOfBoundsException - if column is not in [0..3]

setColumn

public Matrix4x3d setColumn(int column,
 Vector3dc src)
                     throws IndexOutOfBoundsException

Set the column at the given column index, starting with 0.

Parameters:

column - the column index in [0..3]

src - the column components to set

Returns:

this

Throws:

IndexOutOfBoundsException - if column is not in [0..3]

normal

public Matrix4x3d normal()

Compute a normal matrix from the left 3x3 submatrix of this and store it into the left 3x3 submatrix of this. All other values of this will be set to identity.

The normal matrix of m is the transpose of the inverse of m.

Please note that, if this is an orthogonal matrix or a matrix whose columns are orthogonal vectors, then this method need not be invoked, since in that case this itself is its normal matrix. In that case, use set3x3(Matrix4x3dc) to set a given Matrix4x3d to only the left 3x3 submatrix of this matrix.

Returns:

this

See Also:

• set3x3(Matrix4x3dc)

normal

public Matrix4x3d normal(Matrix4x3d dest)

Compute a normal matrix from the left 3x3 submatrix of this and store it into the left 3x3 submatrix of dest. All other values of dest will be set to identity.

The normal matrix of m is the transpose of the inverse of m.

Please note that, if this is an orthogonal matrix or a matrix whose columns are orthogonal vectors, then this method need not be invoked, since in that case this itself is its normal matrix. In that case, use set3x3(Matrix4x3dc) to set a given Matrix4x3d to only the left 3x3 submatrix of a given matrix.

Specified by:

normal in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

See Also:

• set3x3(Matrix4x3dc)

normal

public Matrix3d normal(Matrix3d dest)

Description copied from interface: Matrix4x3dc

Compute a normal matrix from the left 3x3 submatrix of this and store it into dest.

The normal matrix of m is the transpose of the inverse of m.

Specified by:

normal in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

cofactor3x3

public Matrix4x3d cofactor3x3()

Compute the cofactor matrix of the left 3x3 submatrix of this.

The cofactor matrix can be used instead of normal() to transform normals when the orientation of the normals with respect to the surface should be preserved.

Returns:

this

cofactor3x3

public Matrix3d cofactor3x3(Matrix3d dest)

Compute the cofactor matrix of the left 3x3 submatrix of this and store it into dest.

The cofactor matrix can be used instead of normal(Matrix3d) to transform normals when the orientation of the normals with respect to the surface should be preserved.

Specified by:

cofactor3x3 in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

cofactor3x3

public Matrix4x3d cofactor3x3(Matrix4x3d dest)

Compute the cofactor matrix of the left 3x3 submatrix of this and store it into dest. All other values of dest will be set to identity.

The cofactor matrix can be used instead of normal(Matrix4x3d) to transform normals when the orientation of the normals with respect to the surface should be preserved.

Specified by:

cofactor3x3 in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

normalize3x3

public Matrix4x3d normalize3x3()

Normalize the left 3x3 submatrix of this matrix.

The resulting matrix will map unit vectors to unit vectors, though a pair of orthogonal input unit vectors need not be mapped to a pair of orthogonal output vectors if the original matrix was not orthogonal itself (i.e. had skewing).

Returns:

this

normalize3x3

public Matrix4x3d normalize3x3(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Normalize the left 3x3 submatrix of this matrix and store the result in dest.

The resulting matrix will map unit vectors to unit vectors, though a pair of orthogonal input unit vectors need not be mapped to a pair of orthogonal output vectors if the original matrix was not orthogonal itself (i.e. had skewing).

Specified by:

normalize3x3 in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

normalize3x3

public Matrix3d normalize3x3(Matrix3d dest)

Description copied from interface: Matrix4x3dc

Normalize the left 3x3 submatrix of this matrix and store the result in dest.

The resulting matrix will map unit vectors to unit vectors, though a pair of orthogonal input unit vectors need not be mapped to a pair of orthogonal output vectors if the original matrix was not orthogonal itself (i.e. had skewing).

Specified by:

normalize3x3 in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

reflect

public Matrix4x3d reflect(double a,
 double b,
 double c,
 double d,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0 and store the result in dest.

The vector (a, b, c) must be a unit vector.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Reference: msdn.microsoft.com

Specified by:

reflect in interface Matrix4x3dc

Parameters:

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

dest - will hold the result

Returns:

dest

reflect

public Matrix4x3d reflect(double a,
 double b,
 double c,
 double d)

Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0.

The vector (a, b, c) must be a unit vector.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Reference: msdn.microsoft.com

Parameters:

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

Returns:

this

reflect

public Matrix4x3d reflect(double nx,
 double ny,
 double nz,
 double px,
 double py,
 double pz)

Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Parameters:

nx - the x-coordinate of the plane normal

ny - the y-coordinate of the plane normal

nz - the z-coordinate of the plane normal

px - the x-coordinate of a point on the plane

py - the y-coordinate of a point on the plane

pz - the z-coordinate of a point on the plane

Returns:

this

reflect

public Matrix4x3d reflect(double nx,
 double ny,
 double nz,
 double px,
 double py,
 double pz,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in dest.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Specified by:

reflect in interface Matrix4x3dc

Parameters:

nx - the x-coordinate of the plane normal

ny - the y-coordinate of the plane normal

nz - the z-coordinate of the plane normal

px - the x-coordinate of a point on the plane

py - the y-coordinate of a point on the plane

pz - the z-coordinate of a point on the plane

dest - will hold the result

Returns:

dest

reflect

public Matrix4x3d reflect(Vector3dc normal,
 Vector3dc point)

Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Parameters:

normal - the plane normal

point - a point on the plane

Returns:

this

reflect

public Matrix4x3d reflect(Quaterniondc orientation,
 Vector3dc point)

Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane.

This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is (0, 0, 1). So, if the given Quaterniondc is the identity (does not apply any additional rotation), the reflection plane will be z=0, offset by the given point.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Parameters:

orientation - the plane orientation relative to an implied normal vector of (0, 0, 1)

point - a point on the plane

Returns:

this

reflect

public Matrix4x3d reflect(Quaterniondc orientation,
 Vector3dc point,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane, and store the result in dest.

This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is (0, 0, 1). So, if the given Quaterniondc is the identity (does not apply any additional rotation), the reflection plane will be z=0, offset by the given point.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Specified by:

reflect in interface Matrix4x3dc

Parameters:

orientation - the plane orientation

point - a point on the plane

dest - will hold the result

Returns:

dest

reflect

public Matrix4x3d reflect(Vector3dc normal,
 Vector3dc point,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in dest.

If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!

Specified by:

reflect in interface Matrix4x3dc

Parameters:

normal - the plane normal

point - a point on the plane

dest - will hold the result

Returns:

dest

reflection

public Matrix4x3d reflection(double a,
 double b,
 double c,
 double d)

Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0.

The vector (a, b, c) must be a unit vector.

Reference: msdn.microsoft.com

Parameters:

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

Returns:

this

reflection

public Matrix4x3d reflection(double nx,
 double ny,
 double nz,
 double px,
 double py,
 double pz)

Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.

Parameters:

nx - the x-coordinate of the plane normal

ny - the y-coordinate of the plane normal

nz - the z-coordinate of the plane normal

px - the x-coordinate of a point on the plane

py - the y-coordinate of a point on the plane

pz - the z-coordinate of a point on the plane

Returns:

this

reflection

public Matrix4x3d reflection(Vector3dc normal,
 Vector3dc point)

Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.

Parameters:

normal - the plane normal

point - a point on the plane

Returns:

this

reflection

public Matrix4x3d reflection(Quaterniondc orientation,
 Vector3dc point)

Set this matrix to a mirror/reflection transformation that reflects about a plane specified via the plane orientation and a point on the plane.

This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is (0, 0, 1). So, if the given Quaterniondc is the identity (does not apply any additional rotation), the reflection plane will be z=0, offset by the given point.

Parameters:

orientation - the plane orientation

point - a point on the plane

Returns:

this

ortho

public Matrix4x3d ortho(double left,
 double right,
 double bottom,
 double top,
 double zNear,
 double zFar,
 boolean zZeroToOne,
 Matrix4x3d dest)

Apply an orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().

Reference: http://www.songho.ca

Specified by:

ortho in interface Matrix4x3dc

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

dest - will hold the result

Returns:

dest

See Also:

• setOrtho(double, double, double, double, double, double, boolean)

ortho

public Matrix4x3d ortho(double left,
 double right,
 double bottom,
 double top,
 double zNear,
 double zFar,
 Matrix4x3d dest)

Apply an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().

Reference: http://www.songho.ca

Specified by:

ortho in interface Matrix4x3dc

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

dest - will hold the result

Returns:

dest

See Also:

• setOrtho(double, double, double, double, double, double)

ortho

public Matrix4x3d ortho(double left,
 double right,
 double bottom,
 double top,
 double zNear,
 double zFar,
 boolean zZeroToOne)

Apply an orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setOrtho(double, double, double, double, double, double, boolean)

ortho

public Matrix4x3d ortho(double left,
 double right,
 double bottom,
 double top,
 double zNear,
 double zFar)

Apply an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• setOrtho(double, double, double, double, double, double)

orthoLH

public Matrix4x3d orthoLH(double left,
 double right,
 double bottom,
 double top,
 double zNear,
 double zFar,
 boolean zZeroToOne,
 Matrix4x3d dest)

Apply an orthographic projection transformation for a left-handed coordiante system using the given NDC z range to this matrix and store the result in dest.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().

Reference: http://www.songho.ca

Specified by:

orthoLH in interface Matrix4x3dc

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

dest - will hold the result

Returns:

dest

See Also:

• setOrthoLH(double, double, double, double, double, double, boolean)

orthoLH

public Matrix4x3d orthoLH(double left,
 double right,
 double bottom,
 double top,
 double zNear,
 double zFar,
 Matrix4x3d dest)

Apply an orthographic projection transformation for a left-handed coordiante system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().

Reference: http://www.songho.ca

Specified by:

orthoLH in interface Matrix4x3dc

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

dest - will hold the result

Returns:

dest

See Also:

• setOrthoLH(double, double, double, double, double, double)

orthoLH

public Matrix4x3d orthoLH(double left,
 double right,
 double bottom,
 double top,
 double zNear,
 double zFar,
 boolean zZeroToOne)

Apply an orthographic projection transformation for a left-handed coordiante system using the given NDC z range to this matrix.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setOrthoLH(double, double, double, double, double, double, boolean)

orthoLH

public Matrix4x3d orthoLH(double left,
 double right,
 double bottom,
 double top,
 double zNear,
 double zFar)

Apply an orthographic projection transformation for a left-handed coordiante system using OpenGL's NDC z range of [-1..+1] to this matrix.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• setOrthoLH(double, double, double, double, double, double)

setOrtho

public Matrix4x3d setOrtho(double left,
 double right,
 double bottom,
 double top,
 double zNear,
 double zFar,
 boolean zZeroToOne)

Set this matrix to be an orthographic projection transformation for a right-handed coordinate system using the given NDC z range.

In order to apply the orthographic projection to an already existing transformation, use ortho().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• ortho(double, double, double, double, double, double, boolean)

setOrtho

public Matrix4x3d setOrtho(double left,
 double right,
 double bottom,
 double top,
 double zNear,
 double zFar)

Set this matrix to be an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].

In order to apply the orthographic projection to an already existing transformation, use ortho().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• ortho(double, double, double, double, double, double)

setOrthoLH

public Matrix4x3d setOrthoLH(double left,
 double right,
 double bottom,
 double top,
 double zNear,
 double zFar,
 boolean zZeroToOne)

Set this matrix to be an orthographic projection transformation for a left-handed coordinate system using the given NDC z range.

In order to apply the orthographic projection to an already existing transformation, use orthoLH().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• orthoLH(double, double, double, double, double, double, boolean)

setOrthoLH

public Matrix4x3d setOrthoLH(double left,
 double right,
 double bottom,
 double top,
 double zNear,
 double zFar)

Set this matrix to be an orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].

In order to apply the orthographic projection to an already existing transformation, use orthoLH().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• orthoLH(double, double, double, double, double, double)

orthoSymmetric

public Matrix4x3d orthoSymmetric(double width,
 double height,
 double zNear,
 double zFar,
 boolean zZeroToOne,
 Matrix4x3d dest)

Apply a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().

Reference: http://www.songho.ca

Specified by:

orthoSymmetric in interface Matrix4x3dc

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

dest - will hold the result

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

dest

See Also:

• setOrthoSymmetric(double, double, double, double, boolean)

orthoSymmetric

public Matrix4x3d orthoSymmetric(double width,
 double height,
 double zNear,
 double zFar,
 Matrix4x3d dest)

Apply a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().

Reference: http://www.songho.ca

Specified by:

orthoSymmetric in interface Matrix4x3dc

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

dest - will hold the result

Returns:

dest

See Also:

• setOrthoSymmetric(double, double, double, double)

orthoSymmetric

public Matrix4x3d orthoSymmetric(double width,
 double height,
 double zNear,
 double zFar,
 boolean zZeroToOne)

Apply a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix.

This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setOrthoSymmetric(double, double, double, double, boolean)

orthoSymmetric

public Matrix4x3d orthoSymmetric(double width,
 double height,
 double zNear,
 double zFar)

Apply a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.

This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• setOrthoSymmetric(double, double, double, double)

orthoSymmetricLH

public Matrix4x3d orthoSymmetricLH(double width,
 double height,
 double zNear,
 double zFar,
 boolean zZeroToOne,
 Matrix4x3d dest)

Apply a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in dest.

This method is equivalent to calling orthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetricLH().

Reference: http://www.songho.ca

Specified by:

orthoSymmetricLH in interface Matrix4x3dc

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

dest - will hold the result

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

dest

See Also:

• setOrthoSymmetricLH(double, double, double, double, boolean)

orthoSymmetricLH

public Matrix4x3d orthoSymmetricLH(double width,
 double height,
 double zNear,
 double zFar,
 Matrix4x3d dest)

Apply a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.

This method is equivalent to calling orthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetricLH().

Reference: http://www.songho.ca

Specified by:

orthoSymmetricLH in interface Matrix4x3dc

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

dest - will hold the result

Returns:

dest

See Also:

• setOrthoSymmetricLH(double, double, double, double)

orthoSymmetricLH

public Matrix4x3d orthoSymmetricLH(double width,
 double height,
 double zNear,
 double zFar,
 boolean zZeroToOne)

Apply a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range to this matrix.

This method is equivalent to calling orthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetricLH().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• setOrthoSymmetricLH(double, double, double, double, boolean)

orthoSymmetricLH

public Matrix4x3d orthoSymmetricLH(double width,
 double height,
 double zNear,
 double zFar)

Apply a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.

This method is equivalent to calling orthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetricLH().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• setOrthoSymmetricLH(double, double, double, double)

setOrthoSymmetric

public Matrix4x3d setOrthoSymmetric(double width,
 double height,
 double zNear,
 double zFar,
 boolean zZeroToOne)

Set this matrix to be a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range.

This method is equivalent to calling setOrtho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

In order to apply the symmetric orthographic projection to an already existing transformation, use orthoSymmetric().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• orthoSymmetric(double, double, double, double, boolean)

setOrthoSymmetric

public Matrix4x3d setOrthoSymmetric(double width,
 double height,
 double zNear,
 double zFar)

Set this matrix to be a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].

This method is equivalent to calling setOrtho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

In order to apply the symmetric orthographic projection to an already existing transformation, use orthoSymmetric().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• orthoSymmetric(double, double, double, double)

setOrthoSymmetricLH

public Matrix4x3d setOrthoSymmetricLH(double width,
 double height,
 double zNear,
 double zFar,
 boolean zZeroToOne)

Set this matrix to be a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range.

This method is equivalent to calling setOrtho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

In order to apply the symmetric orthographic projection to an already existing transformation, use orthoSymmetricLH().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false

Returns:

this

See Also:

• orthoSymmetricLH(double, double, double, double, boolean)

setOrthoSymmetricLH

public Matrix4x3d setOrthoSymmetricLH(double width,
 double height,
 double zNear,
 double zFar)

Set this matrix to be a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].

This method is equivalent to calling setOrthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.

In order to apply the symmetric orthographic projection to an already existing transformation, use orthoSymmetricLH().

Reference: http://www.songho.ca

Parameters:

width - the distance between the right and left frustum edges

height - the distance between the top and bottom frustum edges

zNear - near clipping plane distance

zFar - far clipping plane distance

Returns:

this

See Also:

• orthoSymmetricLH(double, double, double, double)

ortho2D

public Matrix4x3d ortho2D(double left,
 double right,
 double bottom,
 double top,
 Matrix4x3d dest)

Apply an orthographic projection transformation for a right-handed coordinate system to this matrix and store the result in dest.

This method is equivalent to calling ortho() with zNear=-1 and zFar=+1.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().

Reference: http://www.songho.ca

Specified by:

ortho2D in interface Matrix4x3dc

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

dest - will hold the result

Returns:

dest

See Also:

• ortho(double, double, double, double, double, double, Matrix4x3d)
• setOrtho2D(double, double, double, double)

ortho2D

public Matrix4x3d ortho2D(double left,
 double right,
 double bottom,
 double top)

Apply an orthographic projection transformation for a right-handed coordinate system to this matrix.

This method is equivalent to calling ortho() with zNear=-1 and zFar=+1.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho2D().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

Returns:

this

See Also:

• ortho(double, double, double, double, double, double)
• setOrtho2D(double, double, double, double)

ortho2DLH

public Matrix4x3d ortho2DLH(double left,
 double right,
 double bottom,
 double top,
 Matrix4x3d dest)

Apply an orthographic projection transformation for a left-handed coordinate system to this matrix and store the result in dest.

This method is equivalent to calling orthoLH() with zNear=-1 and zFar=+1.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().

Reference: http://www.songho.ca

Specified by:

ortho2DLH in interface Matrix4x3dc

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

dest - will hold the result

Returns:

dest

See Also:

• orthoLH(double, double, double, double, double, double, Matrix4x3d)
• setOrtho2DLH(double, double, double, double)

ortho2DLH

public Matrix4x3d ortho2DLH(double left,
 double right,
 double bottom,
 double top)

Apply an orthographic projection transformation for a left-handed coordinate system to this matrix.

This method is equivalent to calling orthoLH() with zNear=-1 and zFar=+1.

If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!

In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho2DLH().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

Returns:

this

See Also:

• orthoLH(double, double, double, double, double, double)
• setOrtho2DLH(double, double, double, double)

setOrtho2D

public Matrix4x3d setOrtho2D(double left,
 double right,
 double bottom,
 double top)

Set this matrix to be an orthographic projection transformation for a right-handed coordinate system.

This method is equivalent to calling setOrtho() with zNear=-1 and zFar=+1.

In order to apply the orthographic projection to an already existing transformation, use ortho2D().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

Returns:

this

See Also:

• setOrtho(double, double, double, double, double, double)
• ortho2D(double, double, double, double)

setOrtho2DLH

public Matrix4x3d setOrtho2DLH(double left,
 double right,
 double bottom,
 double top)

Set this matrix to be an orthographic projection transformation for a left-handed coordinate system.

This method is equivalent to calling setOrthoLH() with zNear=-1 and zFar=+1.

In order to apply the orthographic projection to an already existing transformation, use ortho2DLH().

Reference: http://www.songho.ca

Parameters:

left - the distance from the center to the left frustum edge

right - the distance from the center to the right frustum edge

bottom - the distance from the center to the bottom frustum edge

top - the distance from the center to the top frustum edge

Returns:

this

See Also:

• setOrthoLH(double, double, double, double, double, double)
• ortho2DLH(double, double, double, double)

lookAlong

public Matrix4x3d lookAlong(Vector3dc dir,
 Vector3dc up)

Apply a rotation transformation to this matrix to make -z point along dir.

If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!

This is equivalent to calling lookAt with eye = (0, 0, 0) and center = dir.

In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong().

Parameters:

dir - the direction in space to look along

up - the direction of 'up'

Returns:

this

See Also:

• lookAlong(double, double, double, double, double, double)
• lookAt(Vector3dc, Vector3dc, Vector3dc)
• setLookAlong(Vector3dc, Vector3dc)

lookAlong

public Matrix4x3d lookAlong(Vector3dc dir,
 Vector3dc up,
 Matrix4x3d dest)

Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.

If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!

This is equivalent to calling lookAt with eye = (0, 0, 0) and center = dir.

In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong().

Specified by:

lookAlong in interface Matrix4x3dc

Parameters:

dir - the direction in space to look along

up - the direction of 'up'

dest - will hold the result

Returns:

dest

See Also:

• lookAlong(double, double, double, double, double, double)
• lookAt(Vector3dc, Vector3dc, Vector3dc)
• setLookAlong(Vector3dc, Vector3dc)

lookAlong

public Matrix4x3d lookAlong(double dirX,
 double dirY,
 double dirZ,
 double upX,
 double upY,
 double upZ,
 Matrix4x3d dest)

Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.

If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!

This is equivalent to calling lookAt() with eye = (0, 0, 0) and center = dir.

In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong()

Specified by:

lookAlong in interface Matrix4x3dc

Parameters:

dirX - the x-coordinate of the direction to look along

dirY - the y-coordinate of the direction to look along

dirZ - the z-coordinate of the direction to look along

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

dest - will hold the result

Returns:

dest

See Also:

• lookAt(double, double, double, double, double, double, double, double, double)
• setLookAlong(double, double, double, double, double, double)

lookAlong

public Matrix4x3d lookAlong(double dirX,
 double dirY,
 double dirZ,
 double upX,
 double upY,
 double upZ)

Apply a rotation transformation to this matrix to make -z point along dir.

If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!

This is equivalent to calling lookAt() with eye = (0, 0, 0) and center = dir.

In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong()

Parameters:

dirX - the x-coordinate of the direction to look along

dirY - the y-coordinate of the direction to look along

dirZ - the z-coordinate of the direction to look along

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• lookAt(double, double, double, double, double, double, double, double, double)
• setLookAlong(double, double, double, double, double, double)

setLookAlong

public Matrix4x3d setLookAlong(Vector3dc dir,
 Vector3dc up)

Set this matrix to a rotation transformation to make -z point along dir.

This is equivalent to calling setLookAt() with eye = (0, 0, 0) and center = dir.

In order to apply the lookalong transformation to any previous existing transformation, use lookAlong(Vector3dc, Vector3dc).

Parameters:

dir - the direction in space to look along

up - the direction of 'up'

Returns:

this

See Also:

• setLookAlong(Vector3dc, Vector3dc)
• lookAlong(Vector3dc, Vector3dc)

setLookAlong

public Matrix4x3d setLookAlong(double dirX,
 double dirY,
 double dirZ,
 double upX,
 double upY,
 double upZ)

Set this matrix to a rotation transformation to make -z point along dir.

This is equivalent to calling setLookAt() with eye = (0, 0, 0) and center = dir.

In order to apply the lookalong transformation to any previous existing transformation, use lookAlong()

Parameters:

dirX - the x-coordinate of the direction to look along

dirY - the y-coordinate of the direction to look along

dirZ - the z-coordinate of the direction to look along

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• setLookAlong(double, double, double, double, double, double)
• lookAlong(double, double, double, double, double, double)

setLookAt

public Matrix4x3d setLookAt(Vector3dc eye,
 Vector3dc center,
 Vector3dc up)

Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns -z with center - eye.

In order to not make use of vectors to specify eye, center and up but use primitives, like in the GLU function, use setLookAt() instead.

In order to apply the lookat transformation to a previous existing transformation, use lookAt().

Parameters:

eye - the position of the camera

center - the point in space to look at

up - the direction of 'up'

Returns:

this

See Also:

• setLookAt(double, double, double, double, double, double, double, double, double)
• lookAt(Vector3dc, Vector3dc, Vector3dc)

setLookAt

public Matrix4x3d setLookAt(double eyeX,
 double eyeY,
 double eyeZ,
 double centerX,
 double centerY,
 double centerZ,
 double upX,
 double upY,
 double upZ)

Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns -z with center - eye.

In order to apply the lookat transformation to a previous existing transformation, use lookAt.

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• setLookAt(Vector3dc, Vector3dc, Vector3dc)
• lookAt(double, double, double, double, double, double, double, double, double)

lookAt

public Matrix4x3d lookAt(Vector3dc eye,
 Vector3dc center,
 Vector3dc up,
 Matrix4x3d dest)

Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt(Vector3dc, Vector3dc, Vector3dc).

Specified by:

lookAt in interface Matrix4x3dc

Parameters:

eye - the position of the camera

center - the point in space to look at

up - the direction of 'up'

dest - will hold the result

Returns:

dest

See Also:

• lookAt(double, double, double, double, double, double, double, double, double)
• setLookAlong(Vector3dc, Vector3dc)

lookAt

public Matrix4x3d lookAt(Vector3dc eye,
 Vector3dc center,
 Vector3dc up)

Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt(Vector3dc, Vector3dc, Vector3dc).

Parameters:

eye - the position of the camera

center - the point in space to look at

up - the direction of 'up'

Returns:

this

See Also:

• lookAt(double, double, double, double, double, double, double, double, double)
• setLookAlong(Vector3dc, Vector3dc)

lookAt

public Matrix4x3d lookAt(double eyeX,
 double eyeY,
 double eyeZ,
 double centerX,
 double centerY,
 double centerZ,
 double upX,
 double upY,
 double upZ,
 Matrix4x3d dest)

Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt().

Specified by:

lookAt in interface Matrix4x3dc

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

dest - will hold the result

Returns:

dest

See Also:

• lookAt(Vector3dc, Vector3dc, Vector3dc)
• setLookAt(double, double, double, double, double, double, double, double, double)

lookAt

public Matrix4x3d lookAt(double eyeX,
 double eyeY,
 double eyeZ,
 double centerX,
 double centerY,
 double centerZ,
 double upX,
 double upY,
 double upZ)

Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt().

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• lookAt(Vector3dc, Vector3dc, Vector3dc)
• setLookAt(double, double, double, double, double, double, double, double, double)

setLookAtLH

public Matrix4x3d setLookAtLH(Vector3dc eye,
 Vector3dc center,
 Vector3dc up)

Set this matrix to be a "lookat" transformation for a left-handed coordinate system, that aligns +z with center - eye.

In order to not make use of vectors to specify eye, center and up but use primitives, like in the GLU function, use setLookAtLH() instead.

In order to apply the lookat transformation to a previous existing transformation, use lookAt().

Parameters:

eye - the position of the camera

center - the point in space to look at

up - the direction of 'up'

Returns:

this

See Also:

• setLookAtLH(double, double, double, double, double, double, double, double, double)
• lookAtLH(Vector3dc, Vector3dc, Vector3dc)

setLookAtLH

public Matrix4x3d setLookAtLH(double eyeX,
 double eyeY,
 double eyeZ,
 double centerX,
 double centerY,
 double centerZ,
 double upX,
 double upY,
 double upZ)

Set this matrix to be a "lookat" transformation for a left-handed coordinate system, that aligns +z with center - eye.

In order to apply the lookat transformation to a previous existing transformation, use lookAtLH.

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• setLookAtLH(Vector3dc, Vector3dc, Vector3dc)
• lookAtLH(double, double, double, double, double, double, double, double, double)

lookAtLH

public Matrix4x3d lookAtLH(Vector3dc eye,
 Vector3dc center,
 Vector3dc up,
 Matrix4x3d dest)

Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye and store the result in dest.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH(Vector3dc, Vector3dc, Vector3dc).

Specified by:

lookAtLH in interface Matrix4x3dc

Parameters:

eye - the position of the camera

center - the point in space to look at

up - the direction of 'up'

dest - will hold the result

Returns:

dest

See Also:

• lookAtLH(double, double, double, double, double, double, double, double, double)

lookAtLH

public Matrix4x3d lookAtLH(Vector3dc eye,
 Vector3dc center,
 Vector3dc up)

Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH(Vector3dc, Vector3dc, Vector3dc).

Parameters:

eye - the position of the camera

center - the point in space to look at

up - the direction of 'up'

Returns:

this

See Also:

• lookAtLH(double, double, double, double, double, double, double, double, double)

lookAtLH

public Matrix4x3d lookAtLH(double eyeX,
 double eyeY,
 double eyeZ,
 double centerX,
 double centerY,
 double centerZ,
 double upX,
 double upY,
 double upZ,
 Matrix4x3d dest)

Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye and store the result in dest.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH().

Specified by:

lookAtLH in interface Matrix4x3dc

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

dest - will hold the result

Returns:

dest

See Also:

• lookAtLH(Vector3dc, Vector3dc, Vector3dc)
• setLookAtLH(double, double, double, double, double, double, double, double, double)

lookAtLH

public Matrix4x3d lookAtLH(double eyeX,
 double eyeY,
 double eyeZ,
 double centerX,
 double centerY,
 double centerZ,
 double upX,
 double upY,
 double upZ)

Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH().

Parameters:

eyeX - the x-coordinate of the eye/camera location

eyeY - the y-coordinate of the eye/camera location

eyeZ - the z-coordinate of the eye/camera location

centerX - the x-coordinate of the point to look at

centerY - the y-coordinate of the point to look at

centerZ - the z-coordinate of the point to look at

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• lookAtLH(Vector3dc, Vector3dc, Vector3dc)
• setLookAtLH(double, double, double, double, double, double, double, double, double)

frustumPlane

public Vector4d frustumPlane(int which,
 Vector4d dest)

Description copied from interface: Matrix4x3dc

Calculate a frustum plane of this matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given dest.

Generally, this method computes the frustum plane in the local frame of any coordinate system that existed before this transformation was applied to it in order to yield homogeneous clipping space.

The plane normal, which is (a, b, c), is directed "inwards" of the frustum. Any plane/point test using a*x + b*y + c*z + d therefore will yield a result greater than zero if the point is within the frustum (i.e. at the positive side of the frustum plane).

Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix

Specified by:

frustumPlane in interface Matrix4x3dc

Parameters:

which - one of the six possible planes, given as numeric constants Matrix4x3dc.PLANE_NX, Matrix4x3dc.PLANE_PX, Matrix4x3dc.PLANE_NY, Matrix4x3dc.PLANE_PY, Matrix4x3dc.PLANE_NZ and Matrix4x3dc.PLANE_PZ

dest - will hold the computed plane equation. The plane equation will be normalized, meaning that (a, b, c) will be a unit vector

Returns:

dest

positiveZ

public Vector3d positiveZ(Vector3d dir)

Description copied from interface: Matrix4x3dc

Obtain the direction of +Z before the transformation represented by this matrix is applied.

This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to +Z by this matrix.

This method is equivalent to the following code:

 Matrix4x3d inv = new Matrix4x3d(this).invert();
 inv.transformDirection(dir.set(0, 0, 1)).normalize();
 

If this is already an orthogonal matrix, then consider using Matrix4x3dc.normalizedPositiveZ(Vector3d) instead.

Reference: http://www.euclideanspace.com

Specified by:

positiveZ in interface Matrix4x3dc

Parameters:

dir - will hold the direction of +Z

Returns:

dir

normalizedPositiveZ

public Vector3d normalizedPositiveZ(Vector3d dir)

Description copied from interface: Matrix4x3dc

Obtain the direction of +Z before the transformation represented by this orthogonal matrix is applied. This method only produces correct results if this is an orthogonal matrix.

This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to +Z by this matrix.

This method is equivalent to the following code:

 Matrix4x3d inv = new Matrix4x3d(this).transpose();
 inv.transformDirection(dir.set(0, 0, 1)).normalize();
 

Reference: http://www.euclideanspace.com

Specified by:

normalizedPositiveZ in interface Matrix4x3dc

Parameters:

dir - will hold the direction of +Z

Returns:

dir

positiveX

public Vector3d positiveX(Vector3d dir)

Description copied from interface: Matrix4x3dc

Obtain the direction of +X before the transformation represented by this matrix is applied.

This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to +X by this matrix.

This method is equivalent to the following code:

 Matrix4x3d inv = new Matrix4x3d(this).invert();
 inv.transformDirection(dir.set(1, 0, 0)).normalize();
 

If this is already an orthogonal matrix, then consider using Matrix4x3dc.normalizedPositiveX(Vector3d) instead.

Reference: http://www.euclideanspace.com

Specified by:

positiveX in interface Matrix4x3dc

Parameters:

dir - will hold the direction of +X

Returns:

dir

normalizedPositiveX

public Vector3d normalizedPositiveX(Vector3d dir)

Description copied from interface: Matrix4x3dc

Obtain the direction of +X before the transformation represented by this orthogonal matrix is applied. This method only produces correct results if this is an orthogonal matrix.

This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to +X by this matrix.

This method is equivalent to the following code:

 Matrix4x3d inv = new Matrix4x3d(this).transpose();
 inv.transformDirection(dir.set(1, 0, 0)).normalize();
 

Reference: http://www.euclideanspace.com

Specified by:

normalizedPositiveX in interface Matrix4x3dc

Parameters:

dir - will hold the direction of +X

Returns:

dir

positiveY

public Vector3d positiveY(Vector3d dir)

Description copied from interface: Matrix4x3dc

Obtain the direction of +Y before the transformation represented by this matrix is applied.

This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to +Y by this matrix.

This method is equivalent to the following code:

 Matrix4x3d inv = new Matrix4x3d(this).invert();
 inv.transformDirection(dir.set(0, 1, 0)).normalize();
 

If this is already an orthogonal matrix, then consider using Matrix4x3dc.normalizedPositiveY(Vector3d) instead.

Reference: http://www.euclideanspace.com

Specified by:

positiveY in interface Matrix4x3dc

Parameters:

dir - will hold the direction of +Y

Returns:

dir

normalizedPositiveY

public Vector3d normalizedPositiveY(Vector3d dir)

Description copied from interface: Matrix4x3dc

Obtain the direction of +Y before the transformation represented by this orthogonal matrix is applied. This method only produces correct results if this is an orthogonal matrix.

This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to +Y by this matrix.

This method is equivalent to the following code:

 Matrix4x3d inv = new Matrix4x3d(this).transpose();
 inv.transformDirection(dir.set(0, 1, 0)).normalize();
 

Reference: http://www.euclideanspace.com

Specified by:

normalizedPositiveY in interface Matrix4x3dc

Parameters:

dir - will hold the direction of +Y

Returns:

dir

origin

public Vector3d origin(Vector3d origin)

Description copied from interface: Matrix4x3dc

Obtain the position that gets transformed to the origin by this matrix. This can be used to get the position of the "camera" from a given view transformation matrix.

This method is equivalent to the following code:

 Matrix4x3f inv = new Matrix4x3f(this).invert();
 inv.transformPosition(origin.set(0, 0, 0));
 

Specified by:

origin in interface Matrix4x3dc

Parameters:

origin - will hold the position transformed to the origin

Returns:

origin

shadow

public Matrix4x3d shadow(Vector4dc light,
 double a,
 double b,
 double c,
 double d)

Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction light.

If light.w is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Reference: ftp.sgi.com

Parameters:

light - the light's vector

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

Returns:

this

shadow

public Matrix4x3d shadow(Vector4dc light,
 double a,
 double b,
 double c,
 double d,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction light and store the result in dest.

If light.w is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Reference: ftp.sgi.com

Specified by:

shadow in interface Matrix4x3dc

Parameters:

light - the light's vector

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

dest - will hold the result

Returns:

dest

shadow

public Matrix4x3d shadow(double lightX,
 double lightY,
 double lightZ,
 double lightW,
 double a,
 double b,
 double c,
 double d)

Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW).

If lightW is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Reference: ftp.sgi.com

Parameters:

lightX - the x-component of the light's vector

lightY - the y-component of the light's vector

lightZ - the z-component of the light's vector

lightW - the w-component of the light's vector

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

Returns:

this

shadow

public Matrix4x3d shadow(double lightX,
 double lightY,
 double lightZ,
 double lightW,
 double a,
 double b,
 double c,
 double d,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW) and store the result in dest.

If lightW is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Reference: ftp.sgi.com

Specified by:

shadow in interface Matrix4x3dc

Parameters:

lightX - the x-component of the light's vector

lightY - the y-component of the light's vector

lightZ - the z-component of the light's vector

lightW - the w-component of the light's vector

a - the x factor in the plane equation

b - the y factor in the plane equation

c - the z factor in the plane equation

d - the constant in the plane equation

dest - will hold the result

Returns:

dest

shadow

public Matrix4x3d shadow(Vector4dc light,
 Matrix4x3dc planeTransform,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction light and store the result in dest.

Before the shadow projection is applied, the plane is transformed via the specified planeTransformation.

If light.w is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Specified by:

shadow in interface Matrix4x3dc

Parameters:

light - the light's vector

planeTransform - the transformation to transform the implied plane y = 0 before applying the projection

dest - will hold the result

Returns:

dest

shadow

public Matrix4x3d shadow(Vector4dc light,
 Matrix4x3dc planeTransform)

Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction light.

Before the shadow projection is applied, the plane is transformed via the specified planeTransformation.

If light.w is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Parameters:

light - the light's vector

planeTransform - the transformation to transform the implied plane y = 0 before applying the projection

Returns:

this

shadow

public Matrix4x3d shadow(double lightX,
 double lightY,
 double lightZ,
 double lightW,
 Matrix4x3dc planeTransform,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW) and store the result in dest.

Before the shadow projection is applied, the plane is transformed via the specified planeTransformation.

If lightW is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Specified by:

shadow in interface Matrix4x3dc

Parameters:

lightX - the x-component of the light vector

lightY - the y-component of the light vector

lightZ - the z-component of the light vector

lightW - the w-component of the light vector

planeTransform - the transformation to transform the implied plane y = 0 before applying the projection

dest - will hold the result

Returns:

dest

shadow

public Matrix4x3d shadow(double lightX,
 double lightY,
 double lightZ,
 double lightW,
 Matrix4x3dc planeTransform)

Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW).

Before the shadow projection is applied, the plane is transformed via the specified planeTransformation.

If lightW is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.

If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the shadow projection will be applied first!

Parameters:

lightX - the x-component of the light vector

lightY - the y-component of the light vector

lightZ - the z-component of the light vector

lightW - the w-component of the light vector

planeTransform - the transformation to transform the implied plane y = 0 before applying the projection

Returns:

this

billboardCylindrical

public Matrix4x3d billboardCylindrical(Vector3dc objPos,
 Vector3dc targetPos,
 Vector3dc up)

Set this matrix to a cylindrical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos while constraining a cylindrical rotation around the given up vector.

This method can be used to create the complete model transformation for a given object, including the translation of the object to its position objPos.

Parameters:

objPos - the position of the object to rotate towards targetPos

targetPos - the position of the target (for example the camera) towards which to rotate the object

up - the rotation axis (must be normalized)

Returns:

this

billboardSpherical

public Matrix4x3d billboardSpherical(Vector3dc objPos,
 Vector3dc targetPos,
 Vector3dc up)

Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos.

This method can be used to create the complete model transformation for a given object, including the translation of the object to its position objPos.

If preserving an up vector is not necessary when rotating the +Z axis, then a shortest arc rotation can be obtained using billboardSpherical(Vector3dc, Vector3dc).

Parameters:

objPos - the position of the object to rotate towards targetPos

targetPos - the position of the target (for example the camera) towards which to rotate the object

up - the up axis used to orient the object

Returns:

this

See Also:

• billboardSpherical(Vector3dc, Vector3dc)

billboardSpherical

public Matrix4x3d billboardSpherical(Vector3dc objPos,
 Vector3dc targetPos)

Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos using a shortest arc rotation by not preserving any up vector of the object.

This method can be used to create the complete model transformation for a given object, including the translation of the object to its position objPos.

In order to specify an up vector which needs to be maintained when rotating the +Z axis of the object, use billboardSpherical(Vector3dc, Vector3dc, Vector3dc).

Parameters:

objPos - the position of the object to rotate towards targetPos

targetPos - the position of the target (for example the camera) towards which to rotate the object

Returns:

this

See Also:

• billboardSpherical(Vector3dc, Vector3dc, Vector3dc)

hashCode

public int hashCode()

Overrides:

hashCode in class Object

equals

public boolean equals(Object obj)

Overrides:

equals in class Object

equals

public boolean equals(Matrix4x3dc m,
 double delta)

Description copied from interface: Matrix4x3dc

Compare the matrix elements of this matrix with the given matrix using the given delta and return whether all of them are equal within a maximum difference of delta.

Please note that this method is not used by any data structure such as ArrayList HashSet or HashMap and their operations, such as ArrayList.contains(Object) or HashSet.remove(Object), since those data structures only use the Object.equals(Object) and Object.hashCode() methods.

Specified by:

equals in interface Matrix4x3dc

Parameters:

m - the other matrix

delta - the allowed maximum difference

Returns:

true whether all of the matrix elements are equal; false otherwise

pick

public Matrix4x3d pick(double x,
 double y,
 double width,
 double height,
 int[] viewport,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply a picking transformation to this matrix using the given window coordinates (x, y) as the pick center and the given (width, height) as the size of the picking region in window coordinates, and store the result in dest.

Specified by:

pick in interface Matrix4x3dc

Parameters:

x - the x coordinate of the picking region center in window coordinates

y - the y coordinate of the picking region center in window coordinates

width - the width of the picking region in window coordinates

height - the height of the picking region in window coordinates

viewport - the viewport described by [x, y, width, height]

dest - the destination matrix, which will hold the result

Returns:

dest

pick

public Matrix4x3d pick(double x,
 double y,
 double width,
 double height,
 int[] viewport)

Apply a picking transformation to this matrix using the given window coordinates (x, y) as the pick center and the given (width, height) as the size of the picking region in window coordinates.

Parameters:

x - the x coordinate of the picking region center in window coordinates

y - the y coordinate of the picking region center in window coordinates

width - the width of the picking region in window coordinates

height - the height of the picking region in window coordinates

viewport - the viewport described by [x, y, width, height]

Returns:

this

swap

public Matrix4x3d swap(Matrix4x3d other)

Exchange the values of this matrix with the given other matrix.

Parameters:

other - the other matrix to exchange the values with

Returns:

this

arcball

public Matrix4x3d arcball(double radius,
 double centerX,
 double centerY,
 double centerZ,
 double angleX,
 double angleY,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply an arcball view transformation to this matrix with the given radius and center (centerX, centerY, centerZ) position of the arcball and the specified X and Y rotation angles, and store the result in dest.

This method is equivalent to calling: translate(0, 0, -radius, dest).rotateX(angleX).rotateY(angleY).translate(-centerX, -centerY, -centerZ)

Specified by:

arcball in interface Matrix4x3dc

Parameters:

radius - the arcball radius

centerX - the x coordinate of the center position of the arcball

centerY - the y coordinate of the center position of the arcball

centerZ - the z coordinate of the center position of the arcball

angleX - the rotation angle around the X axis in radians

angleY - the rotation angle around the Y axis in radians

dest - will hold the result

Returns:

dest

arcball

public Matrix4x3d arcball(double radius,
 Vector3dc center,
 double angleX,
 double angleY,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Apply an arcball view transformation to this matrix with the given radius and center position of the arcball and the specified X and Y rotation angles, and store the result in dest.

This method is equivalent to calling: translate(0, 0, -radius).rotateX(angleX).rotateY(angleY).translate(-center.x, -center.y, -center.z)

Specified by:

arcball in interface Matrix4x3dc

Parameters:

radius - the arcball radius

center - the center position of the arcball

angleX - the rotation angle around the X axis in radians

angleY - the rotation angle around the Y axis in radians

dest - will hold the result

Returns:

dest

arcball

public Matrix4x3d arcball(double radius,
 double centerX,
 double centerY,
 double centerZ,
 double angleX,
 double angleY)

Apply an arcball view transformation to this matrix with the given radius and center (centerX, centerY, centerZ) position of the arcball and the specified X and Y rotation angles.

This method is equivalent to calling: translate(0, 0, -radius).rotateX(angleX).rotateY(angleY).translate(-centerX, -centerY, -centerZ)

Parameters:

radius - the arcball radius

centerX - the x coordinate of the center position of the arcball

centerY - the y coordinate of the center position of the arcball

centerZ - the z coordinate of the center position of the arcball

angleX - the rotation angle around the X axis in radians

angleY - the rotation angle around the Y axis in radians

Returns:

this

arcball

public Matrix4x3d arcball(double radius,
 Vector3dc center,
 double angleX,
 double angleY)

Apply an arcball view transformation to this matrix with the given radius and center position of the arcball and the specified X and Y rotation angles.

This method is equivalent to calling: translate(0, 0, -radius).rotateX(angleX).rotateY(angleY).translate(-center.x, -center.y, -center.z)

Parameters:

radius - the arcball radius

center - the center position of the arcball

angleX - the rotation angle around the X axis in radians

angleY - the rotation angle around the Y axis in radians

Returns:

this

transformAab

public Matrix4x3d transformAab(double minX,
 double minY,
 double minZ,
 double maxX,
 double maxY,
 double maxZ,
 Vector3d outMin,
 Vector3d outMax)

Description copied from interface: Matrix4x3dc

Transform the axis-aligned box given as the minimum corner (minX, minY, minZ) and maximum corner (maxX, maxY, maxZ) by this matrix and compute the axis-aligned box of the result whose minimum corner is stored in outMin and maximum corner stored in outMax.

Reference: http://dev.theomader.com

Specified by:

transformAab in interface Matrix4x3dc

Parameters:

minX - the x coordinate of the minimum corner of the axis-aligned box

minY - the y coordinate of the minimum corner of the axis-aligned box

minZ - the z coordinate of the minimum corner of the axis-aligned box

maxX - the x coordinate of the maximum corner of the axis-aligned box

maxY - the y coordinate of the maximum corner of the axis-aligned box

maxZ - the y coordinate of the maximum corner of the axis-aligned box

outMin - will hold the minimum corner of the resulting axis-aligned box

outMax - will hold the maximum corner of the resulting axis-aligned box

Returns:

this

transformAab

public Matrix4x3d transformAab(Vector3dc min,
 Vector3dc max,
 Vector3d outMin,
 Vector3d outMax)

Description copied from interface: Matrix4x3dc

Transform the axis-aligned box given as the minimum corner min and maximum corner max by this matrix and compute the axis-aligned box of the result whose minimum corner is stored in outMin and maximum corner stored in outMax.

Specified by:

transformAab in interface Matrix4x3dc

Parameters:

min - the minimum corner of the axis-aligned box

max - the maximum corner of the axis-aligned box

outMin - will hold the minimum corner of the resulting axis-aligned box

outMax - will hold the maximum corner of the resulting axis-aligned box

Returns:

this

lerp

public Matrix4x3d lerp(Matrix4x3dc other,
 double t)

Linearly interpolate this and other using the given interpolation factor t and store the result in this.

If t is 0.0 then the result is this. If the interpolation factor is 1.0 then the result is other.

Parameters:

other - the other matrix

t - the interpolation factor between 0.0 and 1.0

Returns:

this

lerp

public Matrix4x3d lerp(Matrix4x3dc other,
 double t,
 Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Linearly interpolate this and other using the given interpolation factor t and store the result in dest.

If t is 0.0 then the result is this. If the interpolation factor is 1.0 then the result is other.

Specified by:

lerp in interface Matrix4x3dc

Parameters:

other - the other matrix

t - the interpolation factor between 0.0 and 1.0

dest - will hold the result

Returns:

dest

rotateTowards

public Matrix4x3d rotateTowards(Vector3dc dir,
 Vector3dc up,
 Matrix4x3d dest)

Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with dir and store the result in dest.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying it, use rotationTowards().

This method is equivalent to calling: mul(new Matrix4x3d().lookAt(new Vector3d(), new Vector3d(dir).negate(), up).invert(), dest)

Specified by:

rotateTowards in interface Matrix4x3dc

Parameters:

dir - the direction to rotate towards

up - the up vector

dest - will hold the result

Returns:

dest

See Also:

• rotateTowards(double, double, double, double, double, double, Matrix4x3d)
• rotationTowards(Vector3dc, Vector3dc)

rotateTowards

public Matrix4x3d rotateTowards(Vector3dc dir,
 Vector3dc up)

Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with dir.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying it, use rotationTowards().

This method is equivalent to calling: mul(new Matrix4x3d().lookAt(new Vector3d(), new Vector3d(dir).negate(), up).invert())

Parameters:

dir - the direction to orient towards

up - the up vector

Returns:

this

See Also:

• rotateTowards(double, double, double, double, double, double)
• rotationTowards(Vector3dc, Vector3dc)

rotateTowards

public Matrix4x3d rotateTowards(double dirX,
 double dirY,
 double dirZ,
 double upX,
 double upY,
 double upZ)

Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with (dirX, dirY, dirZ).

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying it, use rotationTowards().

This method is equivalent to calling: mul(new Matrix4x3d().lookAt(0, 0, 0, -dirX, -dirY, -dirZ, upX, upY, upZ).invert())

Parameters:

dirX - the x-coordinate of the direction to rotate towards

dirY - the y-coordinate of the direction to rotate towards

dirZ - the z-coordinate of the direction to rotate towards

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• rotateTowards(Vector3dc, Vector3dc)
• rotationTowards(double, double, double, double, double, double)

rotateTowards

public Matrix4x3d rotateTowards(double dirX,
 double dirY,
 double dirZ,
 double upX,
 double upY,
 double upZ,
 Matrix4x3d dest)

Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with (dirX, dirY, dirZ) and store the result in dest.

If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!

In order to set the matrix to a rotation transformation without post-multiplying it, use rotationTowards().

This method is equivalent to calling: mul(new Matrix4x3d().lookAt(0, 0, 0, -dirX, -dirY, -dirZ, upX, upY, upZ).invert(), dest)

Specified by:

rotateTowards in interface Matrix4x3dc

Parameters:

dirX - the x-coordinate of the direction to rotate towards

dirY - the y-coordinate of the direction to rotate towards

dirZ - the z-coordinate of the direction to rotate towards

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

dest - will hold the result

Returns:

dest

See Also:

• rotateTowards(Vector3dc, Vector3dc)
• rotationTowards(double, double, double, double, double, double)

rotationTowards

public Matrix4x3d rotationTowards(Vector3dc dir,
 Vector3dc up)

Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local -z axis with dir.

In order to apply the rotation transformation to a previous existing transformation, use rotateTowards.

This method is equivalent to calling: setLookAt(new Vector3d(), new Vector3d(dir).negate(), up).invert()

Parameters:

dir - the direction to orient the local -z axis towards

up - the up vector

Returns:

this

See Also:

• rotationTowards(Vector3dc, Vector3dc)
• rotateTowards(double, double, double, double, double, double)

rotationTowards

public Matrix4x3d rotationTowards(double dirX,
 double dirY,
 double dirZ,
 double upX,
 double upY,
 double upZ)

Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local -z axis with (dirX, dirY, dirZ).

In order to apply the rotation transformation to a previous existing transformation, use rotateTowards.

This method is equivalent to calling: setLookAt(0, 0, 0, -dirX, -dirY, -dirZ, upX, upY, upZ).invert()

Parameters:

dirX - the x-coordinate of the direction to rotate towards

dirY - the y-coordinate of the direction to rotate towards

dirZ - the z-coordinate of the direction to rotate towards

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• rotateTowards(Vector3dc, Vector3dc)
• rotationTowards(double, double, double, double, double, double)

translationRotateTowards

public Matrix4x3d translationRotateTowards(Vector3dc pos,
 Vector3dc dir,
 Vector3dc up)

Set this matrix to a model transformation for a right-handed coordinate system, that translates to the given pos and aligns the local -z axis with dir.

This method is equivalent to calling: translation(pos).rotateTowards(dir, up)

Parameters:

pos - the position to translate to

dir - the direction to rotate towards

up - the up vector

Returns:

this

See Also:

• translation(Vector3dc)
• rotateTowards(Vector3dc, Vector3dc)

translationRotateTowards

public Matrix4x3d translationRotateTowards(double posX,
 double posY,
 double posZ,
 double dirX,
 double dirY,
 double dirZ,
 double upX,
 double upY,
 double upZ)

Set this matrix to a model transformation for a right-handed coordinate system, that translates to the given (posX, posY, posZ) and aligns the local -z axis with (dirX, dirY, dirZ).

This method is equivalent to calling: translation(posX, posY, posZ).rotateTowards(dirX, dirY, dirZ, upX, upY, upZ)

Parameters:

posX - the x-coordinate of the position to translate to

posY - the y-coordinate of the position to translate to

posZ - the z-coordinate of the position to translate to

dirX - the x-coordinate of the direction to rotate towards

dirY - the y-coordinate of the direction to rotate towards

dirZ - the z-coordinate of the direction to rotate towards

upX - the x-coordinate of the up vector

upY - the y-coordinate of the up vector

upZ - the z-coordinate of the up vector

Returns:

this

See Also:

• translation(double, double, double)
• rotateTowards(double, double, double, double, double, double)

getEulerAnglesZYX

public Vector3d getEulerAnglesZYX(Vector3d dest)

Description copied from interface: Matrix4x3dc

Extract the Euler angles from the rotation represented by the left 3x3 submatrix of this and store the extracted Euler angles in dest.

This method assumes that the left 3x3 submatrix of this only represents a rotation without scaling.

The Euler angles are always returned as the angle around X in the Vector3d.x field, the angle around Y in the Vector3d.y field and the angle around Z in the Vector3d.z field of the supplied Vector3d instance.

Note that the returned Euler angles must be applied in the order Z * Y * X to obtain the identical matrix. This means that calling rotateZYX(double, double, double) using the obtained Euler angles will yield the same rotation as the original matrix from which the Euler angles were obtained, so in the below code the matrix m2 should be identical to m (disregarding possible floating-point inaccuracies).

 Matrix4x3d m = ...; // <- matrix only representing rotation
 Matrix4x3d n = new Matrix4x3d();
 n.rotateZYX(m.getEulerAnglesZYX(new Vector3d()));
 

Reference: http://en.wikipedia.org/

Specified by:

getEulerAnglesZYX in interface Matrix4x3dc

Parameters:

dest - will hold the extracted Euler angles

Returns:

dest

getEulerAnglesXYZ

public Vector3d getEulerAnglesXYZ(Vector3d dest)

Description copied from interface: Matrix4x3dc

Extract the Euler angles from the rotation represented by the left 3x3 submatrix of this and store the extracted Euler angles in dest.

This method assumes that the left 3x3 submatrix of this only represents a rotation without scaling.

The Euler angles are always returned as the angle around X in the Vector3d.x field, the angle around Y in the Vector3d.y field and the angle around Z in the Vector3d.z field of the supplied Vector3d instance.

Note that the returned Euler angles must be applied in the order X * Y * Z to obtain the identical matrix. This means that calling rotateXYZ(double, double, double) using the obtained Euler angles will yield the same rotation as the original matrix from which the Euler angles were obtained, so in the below code the matrix m2 should be identical to m (disregarding possible floating-point inaccuracies).

 Matrix4x3d m = ...; // <- matrix only representing rotation
 Matrix4x3d n = new Matrix4x3d();
 n.rotateXYZ(m.getEulerAnglesXYZ(new Vector3d()));
 

Reference: http://en.wikipedia.org/

Specified by:

getEulerAnglesXYZ in interface Matrix4x3dc

Parameters:

dest - will hold the extracted Euler angles

Returns:

dest

obliqueZ

public Matrix4x3d obliqueZ(double a,
 double b)

Apply an oblique projection transformation to this matrix with the given values for a and b.

If M is this matrix and O the oblique transformation matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the oblique transformation will be applied first!

The oblique transformation is defined as:

 x' = x + a*z
 y' = y + a*z
 z' = z
 

or in matrix form:

 1 0 a 0
 0 1 b 0
 0 0 1 0
 

Parameters:

a - the value for the z factor that applies to x

b - the value for the z factor that applies to y

Returns:

this

obliqueZ

public Matrix4x3d obliqueZ(double a,
 double b,
 Matrix4x3d dest)

Apply an oblique projection transformation to this matrix with the given values for a and b and store the result in dest.

If M is this matrix and O the oblique transformation matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the oblique transformation will be applied first!

The oblique transformation is defined as:

 x' = x + a*z
 y' = y + a*z
 z' = z
 

or in matrix form:

 1 0 a 0
 0 1 b 0
 0 0 1 0
 

Specified by:

obliqueZ in interface Matrix4x3dc

Parameters:

a - the value for the z factor that applies to x

b - the value for the z factor that applies to y

dest - will hold the result

Returns:

dest

mapXZY

public Matrix4x3d mapXZY()

Multiply this by the matrix

 1 0 0 0
 0 0 1 0
 0 1 0 0
 

Returns:

this

mapXZY

public Matrix4x3d mapXZY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 1 0 0 0
 0 0 1 0
 0 1 0 0
 

and store the result in dest.

Specified by:

mapXZY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapXZnY

public Matrix4x3d mapXZnY()

Multiply this by the matrix

 1 0  0 0
 0 0 -1 0
 0 1  0 0
 

Returns:

this

mapXZnY

public Matrix4x3d mapXZnY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 1 0  0 0
 0 0 -1 0
 0 1  0 0
 

and store the result in dest.

Specified by:

mapXZnY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapXnYnZ

public Matrix4x3d mapXnYnZ()

Multiply this by the matrix

 1  0  0 0
 0 -1  0 0
 0  0 -1 0
 

Returns:

this

mapXnYnZ

public Matrix4x3d mapXnYnZ(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 1  0  0 0
 0 -1  0 0
 0  0 -1 0
 

and store the result in dest.

Specified by:

mapXnYnZ in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapXnZY

public Matrix4x3d mapXnZY()

Multiply this by the matrix

 1  0 0 0
 0  0 1 0
 0 -1 0 0
 

Returns:

this

mapXnZY

public Matrix4x3d mapXnZY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 1  0 0 0
 0  0 1 0
 0 -1 0 0
 

and store the result in dest.

Specified by:

mapXnZY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapXnZnY

public Matrix4x3d mapXnZnY()

Multiply this by the matrix

 1  0  0 0
 0  0 -1 0
 0 -1  0 0
 

Returns:

this

mapXnZnY

public Matrix4x3d mapXnZnY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 1  0  0 0
 0  0 -1 0
 0 -1  0 0
 

and store the result in dest.

Specified by:

mapXnZnY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapYXZ

public Matrix4x3d mapYXZ()

Multiply this by the matrix

 0 1 0 0
 1 0 0 0
 0 0 1 0
 

Returns:

this

mapYXZ

public Matrix4x3d mapYXZ(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0 1 0 0
 1 0 0 0
 0 0 1 0
 

and store the result in dest.

Specified by:

mapYXZ in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapYXnZ

public Matrix4x3d mapYXnZ()

Multiply this by the matrix

 0 1  0 0
 1 0  0 0
 0 0 -1 0
 

Returns:

this

mapYXnZ

public Matrix4x3d mapYXnZ(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0 1  0 0
 1 0  0 0
 0 0 -1 0
 

and store the result in dest.

Specified by:

mapYXnZ in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapYZX

public Matrix4x3d mapYZX()

Multiply this by the matrix

 0 0 1 0
 1 0 0 0
 0 1 0 0
 

Returns:

this

mapYZX

public Matrix4x3d mapYZX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0 0 1 0
 1 0 0 0
 0 1 0 0
 

and store the result in dest.

Specified by:

mapYZX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapYZnX

public Matrix4x3d mapYZnX()

Multiply this by the matrix

 0 0 -1 0
 1 0  0 0
 0 1  0 0
 

Returns:

this

mapYZnX

public Matrix4x3d mapYZnX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0 0 -1 0
 1 0  0 0
 0 1  0 0
 

and store the result in dest.

Specified by:

mapYZnX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapYnXZ

public Matrix4x3d mapYnXZ()

Multiply this by the matrix

 0 -1 0 0
 1  0 0 0
 0  0 1 0
 

Returns:

this

mapYnXZ

public Matrix4x3d mapYnXZ(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0 -1 0 0
 1  0 0 0
 0  0 1 0
 

and store the result in dest.

Specified by:

mapYnXZ in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapYnXnZ

public Matrix4x3d mapYnXnZ()

Multiply this by the matrix

 0 -1  0 0
 1  0  0 0
 0  0 -1 0
 

Returns:

this

mapYnXnZ

public Matrix4x3d mapYnXnZ(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0 -1  0 0
 1  0  0 0
 0  0 -1 0
 

and store the result in dest.

Specified by:

mapYnXnZ in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapYnZX

public Matrix4x3d mapYnZX()

Multiply this by the matrix

 0  0 1 0
 1  0 0 0
 0 -1 0 0
 

Returns:

this

mapYnZX

public Matrix4x3d mapYnZX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0  0 1 0
 1  0 0 0
 0 -1 0 0
 

and store the result in dest.

Specified by:

mapYnZX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapYnZnX

public Matrix4x3d mapYnZnX()

Multiply this by the matrix

 0  0 -1 0
 1  0  0 0
 0 -1  0 0
 

Returns:

this

mapYnZnX

public Matrix4x3d mapYnZnX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0  0 -1 0
 1  0  0 0
 0 -1  0 0
 

and store the result in dest.

Specified by:

mapYnZnX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapZXY

public Matrix4x3d mapZXY()

Multiply this by the matrix

 0 1 0 0
 0 0 1 0
 1 0 0 0
 

Returns:

this

mapZXY

public Matrix4x3d mapZXY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0 1 0 0
 0 0 1 0
 1 0 0 0
 

and store the result in dest.

Specified by:

mapZXY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapZXnY

public Matrix4x3d mapZXnY()

Multiply this by the matrix

 0 1  0 0
 0 0 -1 0
 1 0  0 0
 

Returns:

this

mapZXnY

public Matrix4x3d mapZXnY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0 1  0 0
 0 0 -1 0
 1 0  0 0
 

and store the result in dest.

Specified by:

mapZXnY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapZYX

public Matrix4x3d mapZYX()

Multiply this by the matrix

 0 0 1 0
 0 1 0 0
 1 0 0 0
 

Returns:

this

mapZYX

public Matrix4x3d mapZYX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0 0 1 0
 0 1 0 0
 1 0 0 0
 

and store the result in dest.

Specified by:

mapZYX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapZYnX

public Matrix4x3d mapZYnX()

Multiply this by the matrix

 0 0 -1 0
 0 1  0 0
 1 0  0 0
 

Returns:

this

mapZYnX

public Matrix4x3d mapZYnX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0 0 -1 0
 0 1  0 0
 1 0  0 0
 

and store the result in dest.

Specified by:

mapZYnX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapZnXY

public Matrix4x3d mapZnXY()

Multiply this by the matrix

 0 -1 0 0
 0  0 1 0
 1  0 0 0
 

Returns:

this

mapZnXY

public Matrix4x3d mapZnXY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0 -1 0 0
 0  0 1 0
 1  0 0 0
 

and store the result in dest.

Specified by:

mapZnXY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapZnXnY

public Matrix4x3d mapZnXnY()

Multiply this by the matrix

 0 -1  0 0
 0  0 -1 0
 1  0  0 0
 

Returns:

this

mapZnXnY

public Matrix4x3d mapZnXnY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0 -1  0 0
 0  0 -1 0
 1  0  0 0
 

and store the result in dest.

Specified by:

mapZnXnY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapZnYX

public Matrix4x3d mapZnYX()

Multiply this by the matrix

 0  0 1 0
 0 -1 0 0
 1  0 0 0
 

Returns:

this

mapZnYX

public Matrix4x3d mapZnYX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0  0 1 0
 0 -1 0 0
 1  0 0 0
 

and store the result in dest.

Specified by:

mapZnYX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapZnYnX

public Matrix4x3d mapZnYnX()

Multiply this by the matrix

 0  0 -1 0
 0 -1  0 0
 1  0  0 0
 

Returns:

this

mapZnYnX

public Matrix4x3d mapZnYnX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 0  0 -1 0
 0 -1  0 0
 1  0  0 0
 

and store the result in dest.

Specified by:

mapZnYnX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnXYnZ

public Matrix4x3d mapnXYnZ()

Multiply this by the matrix

 -1 0  0 0
  0 1  0 0
  0 0 -1 0
 

Returns:

this

mapnXYnZ

public Matrix4x3d mapnXYnZ(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 -1 0  0 0
  0 1  0 0
  0 0 -1 0
 

and store the result in dest.

Specified by:

mapnXYnZ in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnXZY

public Matrix4x3d mapnXZY()

Multiply this by the matrix

 -1 0 0 0
  0 0 1 0
  0 1 0 0
 

Returns:

this

mapnXZY

public Matrix4x3d mapnXZY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 -1 0 0 0
  0 0 1 0
  0 1 0 0
 

and store the result in dest.

Specified by:

mapnXZY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnXZnY

public Matrix4x3d mapnXZnY()

Multiply this by the matrix

 -1 0  0 0
  0 0 -1 0
  0 1  0 0
 

Returns:

this

mapnXZnY

public Matrix4x3d mapnXZnY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 -1 0  0 0
  0 0 -1 0
  0 1  0 0
 

and store the result in dest.

Specified by:

mapnXZnY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnXnYZ

public Matrix4x3d mapnXnYZ()

Multiply this by the matrix

 -1  0 0 0
  0 -1 0 0
  0  0 1 0
 

Returns:

this

mapnXnYZ

public Matrix4x3d mapnXnYZ(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 -1  0 0 0
  0 -1 0 0
  0  0 1 0
 

and store the result in dest.

Specified by:

mapnXnYZ in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnXnYnZ

public Matrix4x3d mapnXnYnZ()

Multiply this by the matrix

 -1  0  0 0
  0 -1  0 0
  0  0 -1 0
 

Returns:

this

mapnXnYnZ

public Matrix4x3d mapnXnYnZ(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 -1  0  0 0
  0 -1  0 0
  0  0 -1 0
 

and store the result in dest.

Specified by:

mapnXnYnZ in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnXnZY

public Matrix4x3d mapnXnZY()

Multiply this by the matrix

 -1  0 0 0
  0  0 1 0
  0 -1 0 0
 

Returns:

this

mapnXnZY

public Matrix4x3d mapnXnZY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 -1  0 0 0
  0  0 1 0
  0 -1 0 0
 

and store the result in dest.

Specified by:

mapnXnZY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnXnZnY

public Matrix4x3d mapnXnZnY()

Multiply this by the matrix

 -1  0  0 0
  0  0 -1 0
  0 -1  0 0
 

Returns:

this

mapnXnZnY

public Matrix4x3d mapnXnZnY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 -1  0  0 0
  0  0 -1 0
  0 -1  0 0
 

and store the result in dest.

Specified by:

mapnXnZnY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnYXZ

public Matrix4x3d mapnYXZ()

Multiply this by the matrix

  0 1 0 0
 -1 0 0 0
  0 0 1 0
 

Returns:

this

mapnYXZ

public Matrix4x3d mapnYXZ(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0 1 0 0
 -1 0 0 0
  0 0 1 0
 

and store the result in dest.

Specified by:

mapnYXZ in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnYXnZ

public Matrix4x3d mapnYXnZ()

Multiply this by the matrix

  0 1  0 0
 -1 0  0 0
  0 0 -1 0
 

Returns:

this

mapnYXnZ

public Matrix4x3d mapnYXnZ(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0 1  0 0
 -1 0  0 0
  0 0 -1 0
 

and store the result in dest.

Specified by:

mapnYXnZ in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnYZX

public Matrix4x3d mapnYZX()

Multiply this by the matrix

  0 0 1 0
 -1 0 0 0
  0 1 0 0
 

Returns:

this

mapnYZX

public Matrix4x3d mapnYZX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0 0 1 0
 -1 0 0 0
  0 1 0 0
 

and store the result in dest.

Specified by:

mapnYZX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnYZnX

public Matrix4x3d mapnYZnX()

Multiply this by the matrix

  0 0 -1 0
 -1 0  0 0
  0 1  0 0
 

Returns:

this

mapnYZnX

public Matrix4x3d mapnYZnX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0 0 -1 0
 -1 0  0 0
  0 1  0 0
 

and store the result in dest.

Specified by:

mapnYZnX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnYnXZ

public Matrix4x3d mapnYnXZ()

Multiply this by the matrix

  0 -1 0 0
 -1  0 0 0
  0  0 1 0
 

Returns:

this

mapnYnXZ

public Matrix4x3d mapnYnXZ(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0 -1 0 0
 -1  0 0 0
  0  0 1 0
 

and store the result in dest.

Specified by:

mapnYnXZ in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnYnXnZ

public Matrix4x3d mapnYnXnZ()

Multiply this by the matrix

  0 -1  0 0
 -1  0  0 0
  0  0 -1 0
 

Returns:

this

mapnYnXnZ

public Matrix4x3d mapnYnXnZ(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0 -1  0 0
 -1  0  0 0
  0  0 -1 0
 

and store the result in dest.

Specified by:

mapnYnXnZ in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnYnZX

public Matrix4x3d mapnYnZX()

Multiply this by the matrix

  0  0 1 0
 -1  0 0 0
  0 -1 0 0
 

Returns:

this

mapnYnZX

public Matrix4x3d mapnYnZX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0  0 1 0
 -1  0 0 0
  0 -1 0 0
 

and store the result in dest.

Specified by:

mapnYnZX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnYnZnX

public Matrix4x3d mapnYnZnX()

Multiply this by the matrix

  0  0 -1 0
 -1  0  0 0
  0 -1  0 0
 

Returns:

this

mapnYnZnX

public Matrix4x3d mapnYnZnX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0  0 -1 0
 -1  0  0 0
  0 -1  0 0
 

and store the result in dest.

Specified by:

mapnYnZnX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnZXY

public Matrix4x3d mapnZXY()

Multiply this by the matrix

  0 1 0 0
  0 0 1 0
 -1 0 0 0
 

Returns:

this

mapnZXY

public Matrix4x3d mapnZXY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0 1 0 0
  0 0 1 0
 -1 0 0 0
 

and store the result in dest.

Specified by:

mapnZXY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnZXnY

public Matrix4x3d mapnZXnY()

Multiply this by the matrix

  0 1  0 0
  0 0 -1 0
 -1 0  0 0
 

Returns:

this

mapnZXnY

public Matrix4x3d mapnZXnY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0 1  0 0
  0 0 -1 0
 -1 0  0 0
 

and store the result in dest.

Specified by:

mapnZXnY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnZYX

public Matrix4x3d mapnZYX()

Multiply this by the matrix

  0 0 1 0
  0 1 0 0
 -1 0 0 0
 

Returns:

this

mapnZYX

public Matrix4x3d mapnZYX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0 0 1 0
  0 1 0 0
 -1 0 0 0
 

and store the result in dest.

Specified by:

mapnZYX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnZYnX

public Matrix4x3d mapnZYnX()

Multiply this by the matrix

  0 0 -1 0
  0 1  0 0
 -1 0  0 0
 

Returns:

this

mapnZYnX

public Matrix4x3d mapnZYnX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0 0 -1 0
  0 1  0 0
 -1 0  0 0
 

and store the result in dest.

Specified by:

mapnZYnX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnZnXY

public Matrix4x3d mapnZnXY()

Multiply this by the matrix

  0 -1 0 0
  0  0 1 0
 -1  0 0 0
 

Returns:

this

mapnZnXY

public Matrix4x3d mapnZnXY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0 -1 0 0
  0  0 1 0
 -1  0 0 0
 

and store the result in dest.

Specified by:

mapnZnXY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnZnXnY

public Matrix4x3d mapnZnXnY()

Multiply this by the matrix

  0 -1  0 0
  0  0 -1 0
 -1  0  0 0
 

Returns:

this

mapnZnXnY

public Matrix4x3d mapnZnXnY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0 -1  0 0
  0  0 -1 0
 -1  0  0 0
 

and store the result in dest.

Specified by:

mapnZnXnY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnZnYX

public Matrix4x3d mapnZnYX()

Multiply this by the matrix

  0  0 1 0
  0 -1 0 0
 -1  0 0 0
 

Returns:

this

mapnZnYX

public Matrix4x3d mapnZnYX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0  0 1 0
  0 -1 0 0
 -1  0 0 0
 

and store the result in dest.

Specified by:

mapnZnYX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

mapnZnYnX

public Matrix4x3d mapnZnYnX()

Multiply this by the matrix

  0  0 -1 0
  0 -1  0 0
 -1  0  0 0
 

Returns:

this

mapnZnYnX

public Matrix4x3d mapnZnYnX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

  0  0 -1 0
  0 -1  0 0
 -1  0  0 0
 

and store the result in dest.

Specified by:

mapnZnYnX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

negateX

public Matrix4x3d negateX()

Multiply this by the matrix

 -1 0 0 0
  0 1 0 0
  0 0 1 0
 

Returns:

this

negateX

public Matrix4x3d negateX(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 -1 0 0 0
  0 1 0 0
  0 0 1 0
 

and store the result in dest.

Specified by:

negateX in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

negateY

public Matrix4x3d negateY()

Multiply this by the matrix

 1  0 0 0
 0 -1 0 0
 0  0 1 0
 

Returns:

this

negateY

public Matrix4x3d negateY(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 1  0 0 0
 0 -1 0 0
 0  0 1 0
 

and store the result in dest.

Specified by:

negateY in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

negateZ

public Matrix4x3d negateZ()

Multiply this by the matrix

 1 0  0 0
 0 1  0 0
 0 0 -1 0
 

Returns:

this

negateZ

public Matrix4x3d negateZ(Matrix4x3d dest)

Description copied from interface: Matrix4x3dc

Multiply this by the matrix

 1 0  0 0
 0 1  0 0
 0 0 -1 0
 

and store the result in dest.

Specified by:

negateZ in interface Matrix4x3dc

Parameters:

dest - will hold the result

Returns:

dest

isFinite

public boolean isFinite()

Description copied from interface: Matrix4x3dc

Determine whether all matrix elements are finite floating-point values, that is, they are not NaN and not infinity.

Specified by:

isFinite in interface Matrix4x3dc

Returns:

true if all components are finite floating-point values; false otherwise

clone

public Object clone()
             throws CloneNotSupportedException

Overrides:

clone in class Object

Throws:

CloneNotSupportedException