Package org.joml

Interface Matrix4x3dc

All Known Implementing Classes:

Matrix4x3d, Matrix4x3dStack

public interface Matrix4x3dc

Interface to a read-only view of a 4x3 matrix of double-precision floats.

Author:

Kai Burjack

Field Summary

Fields

Modifier and Type	Field	Description
static final int	PLANE_NX	Argument to the first parameter of frustumPlane(int, Vector4d) identifying the plane with equation x=-1 when using the identity matrix.
static final int	PLANE_NY	Argument to the first parameter of frustumPlane(int, Vector4d) identifying the plane with equation y=-1 when using the identity matrix.
static final int	PLANE_NZ	Argument to the first parameter of frustumPlane(int, Vector4d) identifying the plane with equation z=-1 when using the identity matrix.
static final int	PLANE_PX	Argument to the first parameter of frustumPlane(int, Vector4d) identifying the plane with equation x=1 when using the identity matrix.
static final int	PLANE_PY	Argument to the first parameter of frustumPlane(int, Vector4d) identifying the plane with equation y=1 when using the identity matrix.
static final int	PLANE_PZ	Argument to the first parameter of frustumPlane(int, Vector4d) identifying the plane with equation z=1 when using the identity matrix.
static final byte	PROPERTY_IDENTITY	Bit returned by properties() to indicate that the matrix represents the identity transformation.
static final byte	PROPERTY_ORTHONORMAL	Bit returned by properties() to indicate that the left 3x3 submatrix represents an orthogonal matrix (i.e.
static final byte	PROPERTY_TRANSLATION	Bit returned by properties() to indicate that the matrix represents a pure translation transformation.

Method Summary

Modifier and Type	Method	Description
Matrix4x3d	add(Matrix4x3dc other, Matrix4x3d dest)	Component-wise add this and other and store the result in dest.
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, 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, 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.
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.
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, 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, 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.
Matrix4x3d	invert(Matrix4x3d dest)	Invert this matrix and store the result in dest.
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, 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, 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, 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, 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, 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, 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, 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.
double	m01()	Return 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.
double	m10()	Return 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.
double	m12()	Return 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.
double	m21()	Return 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.
double	m30()	Return 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.
double	m32()	Return the value of the matrix element at column 3 and row 2.
Matrix4x3d	mapnXnYnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnXnYZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnXnZnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnXnZY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnXYnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnXZnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnXZY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYnXnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYnXZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYnZnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYnZX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYXnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYXZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYZnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnYZX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZnXnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZnXY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZnYnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZnYX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZXnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZXY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZYnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapnZYX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapXnYnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapXnZnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapXnZY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapXZnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapXZY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYnXnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYnXZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYnZnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYnZX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYXnZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYXZ(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYZnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapYZX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZnXnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZnXY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZnYnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZnYX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZXnY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZXY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZYnX(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	mapZYX(Matrix4x3d dest)	Multiply this by the 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, 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, 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, Matrix4x3d dest)	Component-wise multiply this by other and store the result in dest.
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(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	negateY(Matrix4x3d dest)	Multiply this by the matrix
Matrix4x3d	negateZ(Matrix4x3d dest)	Multiply this by the matrix
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.
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, 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, 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, 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, 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, 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, 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, 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, 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()
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, 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, 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	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, 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, Matrix4x3d dest)	Apply a rotation transformation, rotating the given radians about the specified axis and store the result in dest.
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, Matrix4x3d dest)	Apply a rotation transformation, rotating about the given AxisAngle4f and store the result in dest.
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, 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, 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, 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, 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, Matrix4x3d dest)	Pre-multiply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix and store the result in dest.
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 -z axis with (dirX, dirY, dirZ) and store the result in dest.
Matrix4x3d	rotateTowards(Vector3dc dir, Vector3dc up, Matrix4x3d dest)	Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the -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, 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, 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	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, 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	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, 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	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, 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 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, 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, 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	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, 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, 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, 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, Matrix4x3d dest)	Component-wise subtract subtrahend from this and store the result in dest.
Matrix4x3d	sub(Matrix4x3fc subtrahend, Matrix4x3d dest)	Component-wise subtract subtrahend from this and store the result in dest.
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, 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, 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, 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, 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, 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, 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.
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.

Field Details

PLANE_NX

static final int PLANE_NX

Argument to the first parameter of frustumPlane(int, Vector4d) identifying the plane with equation x=-1 when using the identity matrix.

See Also:

• Constant Field Values

PLANE_PX

static final int PLANE_PX

Argument to the first parameter of frustumPlane(int, Vector4d) identifying the plane with equation x=1 when using the identity matrix.

See Also:

• Constant Field Values

PLANE_NY

static final int PLANE_NY

Argument to the first parameter of frustumPlane(int, Vector4d) identifying the plane with equation y=-1 when using the identity matrix.

See Also:

• Constant Field Values

PLANE_PY

static final int PLANE_PY

Argument to the first parameter of frustumPlane(int, Vector4d) identifying the plane with equation y=1 when using the identity matrix.

See Also:

• Constant Field Values

PLANE_NZ

static final int PLANE_NZ

Argument to the first parameter of frustumPlane(int, Vector4d) identifying the plane with equation z=-1 when using the identity matrix.

See Also:

• Constant Field Values

PLANE_PZ

static final int PLANE_PZ

Argument to the first parameter of frustumPlane(int, Vector4d) identifying the plane with equation z=1 when using the identity matrix.

See Also:

• Constant Field Values

PROPERTY_IDENTITY

static final byte PROPERTY_IDENTITY

Bit returned by properties() to indicate that the matrix represents the identity transformation.

See Also:

• Constant Field Values

PROPERTY_TRANSLATION

static final byte PROPERTY_TRANSLATION

Bit returned by properties() to indicate that the matrix represents a pure translation transformation.

See Also:

• Constant Field Values

PROPERTY_ORTHONORMAL

static final byte PROPERTY_ORTHONORMAL

Bit returned by properties() to indicate that the left 3x3 submatrix represents an orthogonal matrix (i.e. orthonormal basis).

See Also:

• Constant Field Values

Method Details

properties

int properties()

Returns:

the properties of the matrix

m00

double m00()

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

Returns:

the value of the matrix element

m01

double m01()

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

Returns:

the value of the matrix element

m02

double m02()

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

Returns:

the value of the matrix element

m10

double m10()

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

Returns:

the value of the matrix element

m11

double m11()

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

Returns:

the value of the matrix element

m12

double m12()

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

Returns:

the value of the matrix element

m20

double m20()

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

Returns:

the value of the matrix element

m21

double m21()

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

Returns:

the value of the matrix element

m22

double m22()

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

Returns:

the value of the matrix element

m30

double m30()

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

Returns:

the value of the matrix element

m31

double m31()

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

Returns:

the value of the matrix element

m32

double m32()

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

Returns:

the value of the matrix element

get

Matrix4d get(Matrix4d dest)

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.

Parameters:

dest - the destination matrix

Returns:

dest

See Also:

• Matrix4d.set4x3(Matrix4x3dc)

mul

Matrix4x3d mul(Matrix4x3dc right,
 Matrix4x3d dest)

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!

Parameters:

right - the right operand of the multiplication

dest - will hold the result

Returns:

dest

mul

Matrix4x3d mul(Matrix4x3fc right,
 Matrix4x3d dest)

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!

Parameters:

right - the right operand of the multiplication

dest - will hold the result

Returns:

dest

mulTranslation

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.

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!

Parameters:

right - the right operand of the matrix multiplication

dest - the destination matrix, which will hold the result

Returns:

dest

mulTranslation

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.

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!

Parameters:

right - the right operand of the matrix multiplication

dest - the destination matrix, which will hold the result

Returns:

dest

mulOrtho

Matrix4x3d mulOrtho(Matrix4x3dc view,
 Matrix4x3d dest)

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!

Parameters:

view - the matrix which to multiply this with

dest - the destination matrix, which will hold the result

Returns:

dest

mul3x3

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.

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

dest - will hold the result

Returns:

dest

fma

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.

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

The matrices this and other will not be changed.

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

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.

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

The matrices this and other will not be changed.

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

Matrix4x3d add(Matrix4x3dc other,
 Matrix4x3d dest)

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

Parameters:

other - the other addend

dest - will hold the result

Returns:

dest

add

Matrix4x3d add(Matrix4x3fc other,
 Matrix4x3d dest)

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

Parameters:

other - the other addend

dest - will hold the result

Returns:

dest

sub

Matrix4x3d sub(Matrix4x3dc subtrahend,
 Matrix4x3d dest)

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

Parameters:

subtrahend - the subtrahend

dest - will hold the result

Returns:

dest

sub

Matrix4x3d sub(Matrix4x3fc subtrahend,
 Matrix4x3d dest)

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

Parameters:

subtrahend - the subtrahend

dest - will hold the result

Returns:

dest

mulComponentWise

Matrix4x3d mulComponentWise(Matrix4x3dc other,
 Matrix4x3d dest)

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

Parameters:

other - the other matrix

dest - will hold the result

Returns:

dest

determinant

double determinant()

Return the determinant of this matrix.

Returns:

the determinant

invert

Matrix4x3d invert(Matrix4x3d dest)

Invert this matrix and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

invertOrtho

Matrix4x3d invertOrtho(Matrix4x3d dest)

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.

Parameters:

dest - will hold the inverse of this

Returns:

dest

transpose3x3

Matrix4x3d transpose3x3(Matrix4x3d dest)

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

All other matrix elements are left unchanged.

Parameters:

dest - will hold the result

Returns:

dest

transpose3x3

Matrix3d transpose3x3(Matrix3d dest)

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

Parameters:

dest - will hold the result

Returns:

dest

getTranslation

Vector3d getTranslation(Vector3d dest)

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

Parameters:

dest - will hold the translation components of this matrix

Returns:

dest

getScale

Vector3d getScale(Vector3d dest)

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

Parameters:

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

Returns:

dest

get

Matrix4x3d get(Matrix4x3d dest)

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

Parameters:

dest - the destination matrix

Returns:

the passed in destination

getUnnormalizedRotation

Quaternionf getUnnormalizedRotation(Quaternionf dest)

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.

Parameters:

dest - the destination Quaternionf

Returns:

the passed in destination

See Also:

• Quaternionf.setFromUnnormalized(Matrix4x3dc)

getNormalizedRotation

Quaternionf getNormalizedRotation(Quaternionf dest)

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.

Parameters:

dest - the destination Quaternionf

Returns:

the passed in destination

See Also:

• Quaternionf.setFromNormalized(Matrix4x3dc)

getUnnormalizedRotation

Quaterniond getUnnormalizedRotation(Quaterniond dest)

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.

Parameters:

dest - the destination Quaterniond

Returns:

the passed in destination

See Also:

• Quaterniond.setFromUnnormalized(Matrix4x3dc)

getNormalizedRotation

Quaterniond getNormalizedRotation(Quaterniond dest)

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.

Parameters:

dest - the destination Quaterniond

Returns:

the passed in destination

See Also:

• Quaterniond.setFromNormalized(Matrix4x3dc)

get

DoubleBuffer get(DoubleBuffer buffer)

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 get(int, DoubleBuffer), taking the absolute position as parameter.

Parameters:

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

Returns:

the passed in buffer

See Also:

• get(int, DoubleBuffer)

get

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.

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

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

FloatBuffer get(FloatBuffer buffer)

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 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.

Parameters:

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

Returns:

the passed in buffer

See Also:

• get(int, FloatBuffer)

get

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.

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.

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

ByteBuffer get(ByteBuffer buffer)

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 get(int, ByteBuffer), taking the absolute position as parameter.

Parameters:

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

Returns:

the passed in buffer

See Also:

• get(int, ByteBuffer)

get

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.

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

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

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.

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 getFloats(int, ByteBuffer), taking the absolute position as parameter.

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:

• getFloats(int, ByteBuffer)

getFloats

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.

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.

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

Matrix4x3dc getToAddress(long address)

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.

Parameters:

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

Returns:

this

get

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

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

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

get

double[] get(double[] arr)

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 get(double[], int).

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• get(double[], int)

get

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.

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.

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

get

float[] get(float[] arr)

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 get(float[], int).

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• get(float[], int)

get4x4

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).

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

get4x4

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).

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

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• get4x4(double[], int)

get4x4

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).

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.

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

get4x4

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).

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 get4x4(float[], int).

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• get4x4(float[], int)

get4x4

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).

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 get4x4(int, DoubleBuffer), taking the absolute position as parameter.

Parameters:

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

Returns:

the passed in buffer

See Also:

• get4x4(int, DoubleBuffer)

get4x4

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).

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

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

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).

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 get4x4(int, ByteBuffer), taking the absolute position as parameter.

Parameters:

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

Returns:

the passed in buffer

See Also:

• get4x4(int, ByteBuffer)

get4x4

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).

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

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

DoubleBuffer getTransposed(DoubleBuffer buffer)

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 getTransposed(int, DoubleBuffer), taking the absolute position as parameter.

Parameters:

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

Returns:

the passed in buffer

See Also:

• getTransposed(int, DoubleBuffer)

getTransposed

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.

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

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

ByteBuffer getTransposed(ByteBuffer buffer)

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 getTransposed(int, ByteBuffer), taking the absolute position as parameter.

Parameters:

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

Returns:

the passed in buffer

See Also:

• getTransposed(int, ByteBuffer)

getTransposed

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.

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

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

FloatBuffer getTransposed(FloatBuffer buffer)

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 getTransposed(int, FloatBuffer), taking the absolute position as parameter.

Parameters:

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

Returns:

the passed in buffer

See Also:

• getTransposed(int, FloatBuffer)

getTransposed

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.

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.

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

ByteBuffer getTransposedFloats(ByteBuffer buffer)

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 getTransposedFloats(int, ByteBuffer), taking the absolute position as parameter.

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:

• getTransposedFloats(int, ByteBuffer)

getTransposedFloats

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.

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.

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

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

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

Parameters:

arr - the array to write the matrix values into

offset - the offset into the array

Returns:

the passed in array

getTransposed

double[] getTransposed(double[] arr)

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 getTransposed(double[], int).

Parameters:

arr - the array to write the matrix values into

Returns:

the passed in array

See Also:

• getTransposed(double[], int)

transform

Vector4d transform(Vector4d v)

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

Parameters:

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

Returns:

v

See Also:

• Vector4d.mul(Matrix4x3dc)

transform

Vector4d transform(Vector4dc v,
 Vector4d dest)

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

Parameters:

v - the vector to transform

dest - will contain the result

Returns:

dest

See Also:

• Vector4d.mul(Matrix4x3dc, Vector4d)

transformPosition

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.

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 transformPosition(Vector3dc, Vector3d).

Parameters:

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

Returns:

v

See Also:

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

transformPosition

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.

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 transformPosition(Vector3d).

Parameters:

v - the vector to transform

dest - will hold the result

Returns:

dest

See Also:

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

transformDirection

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.

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 transformDirection(Vector3dc, Vector3d).

Parameters:

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

Returns:

v

transformDirection

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.

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 transformDirection(Vector3d).

Parameters:

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

dest - will hold the result

Returns:

dest

scale

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.

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

dest - will hold the result

Returns:

dest

scale

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.

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

dest - will hold the result

Returns:

dest

scale

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.

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

dest - will hold the result

Returns:

dest

See Also:

• scale(double, double, double, Matrix4x3d)

scaleXY

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.

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

dest - will hold the result

Returns:

dest

scaleAround

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.

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)

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

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.

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)

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

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.

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

dest - will hold the result

Returns:

dest

rotate

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.

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!

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

rotateTranslation

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!

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

dest - will hold the result

Returns:

dest

rotateAround

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.

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

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

rotateLocal

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!

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

dest - will hold the result

Returns:

dest

translate

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!

Parameters:

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

dest - will hold the result

Returns:

dest

translate

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!

Parameters:

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

dest - will hold the result

Returns:

dest

translate

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!

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

translateLocal

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!

Parameters:

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

dest - will hold the result

Returns:

dest

translateLocal

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!

Parameters:

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

dest - will hold the result

Returns:

dest

translateLocal

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!

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

rotateX

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.

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

dest - will hold the result

Returns:

dest

rotateY

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.

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

dest - will hold the result

Returns:

dest

rotateZ

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.

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

dest - will hold the result

Returns:

dest

rotateXYZ

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.

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)

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

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.

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)

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

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.

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)

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

rotate

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!

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaterniondc

dest - will hold the result

Returns:

dest

rotate

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!

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

dest - will hold the result

Returns:

dest

rotateTranslation

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!

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaterniondc

dest - will hold the result

Returns:

dest

rotateTranslation

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!

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

dest - will hold the result

Returns:

dest

rotateLocal

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!

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaterniondc

dest - will hold the result

Returns:

dest

rotateLocal

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!

Reference: http://en.wikipedia.org

Parameters:

quat - the Quaternionfc

dest - will hold the result

Returns:

dest

rotate

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!

Reference: http://en.wikipedia.org

Parameters:

axisAngle - the AxisAngle4f (needs to be normalized)

dest - will hold the result

Returns:

dest

See Also:

• rotate(double, double, double, double, Matrix4x3d)

rotate

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!

Reference: http://en.wikipedia.org

Parameters:

axisAngle - the AxisAngle4d (needs to be normalized)

dest - will hold the result

Returns:

dest

See Also:

• rotate(double, double, double, double, Matrix4x3d)

rotate

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!

Reference: http://en.wikipedia.org

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, Matrix4x3d)

rotate

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!

Reference: http://en.wikipedia.org

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, Matrix4x3d)

getRow

Vector4d getRow(int row,
 Vector4d dest)
         throws IndexOutOfBoundsException

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

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]

getColumn

Vector3d getColumn(int column,
 Vector3d dest)
            throws IndexOutOfBoundsException

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

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]

normal

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.

Parameters:

dest - will hold the result

Returns:

dest

normal

Matrix3d normal(Matrix3d dest)

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.

Parameters:

dest - will hold the result

Returns:

dest

cofactor3x3

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.

Parameters:

dest - will hold the result

Returns:

dest

cofactor3x3

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.

Parameters:

dest - will hold the result

Returns:

dest

normalize3x3

Matrix4x3d normalize3x3(Matrix4x3d dest)

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).

Parameters:

dest - will hold the result

Returns:

dest

normalize3x3

Matrix3d normalize3x3(Matrix3d dest)

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).

Parameters:

dest - will hold the result

Returns:

dest

reflect

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.

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

dest - will hold the result

Returns:

dest

reflect

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.

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

dest - will hold the result

Returns:

dest

reflect

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.

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

point - a point on the plane

dest - will hold the result

Returns:

dest

reflect

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.

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

dest - will hold the result

Returns:

dest

ortho

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!

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

dest - will hold the result

Returns:

dest

ortho

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!

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

dest - will hold the result

Returns:

dest

orthoLH

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!

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

dest - will hold the result

Returns:

dest

orthoLH

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!

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

dest - will hold the result

Returns:

dest

orthoSymmetric

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!

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

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

orthoSymmetric

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!

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

dest - will hold the result

Returns:

dest

orthoSymmetricLH

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!

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

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

orthoSymmetricLH

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!

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

dest - will hold the result

Returns:

dest

ortho2D

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!

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

dest - will hold the result

Returns:

dest

See Also:

• ortho(double, double, double, double, double, double, Matrix4x3d)

ortho2DLH

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!

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

dest - will hold the result

Returns:

dest

See Also:

• orthoLH(double, double, double, double, double, double, Matrix4x3d)

lookAlong

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.

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, Matrix4x3d)
• lookAt(Vector3dc, Vector3dc, Vector3dc, Matrix4x3d)

lookAlong

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.

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, Matrix4x3d)

lookAt

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!

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, Matrix4x3d)

lookAt

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!

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, Matrix4x3d)

lookAtLH

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!

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, Matrix4x3d)

lookAtLH

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!

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, Matrix4x3d)

frustumPlane

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.

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

Parameters:

which - one of the six possible planes, given as numeric constants PLANE_NX, PLANE_PX, PLANE_NY, PLANE_PY, PLANE_NZ and 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

Vector3d positiveZ(Vector3d dir)

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 normalizedPositiveZ(Vector3d) instead.

Reference: http://www.euclideanspace.com

Parameters:

dir - will hold the direction of +Z

Returns:

dir

normalizedPositiveZ

Vector3d normalizedPositiveZ(Vector3d dir)

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

Parameters:

dir - will hold the direction of +Z

Returns:

dir

positiveX

Vector3d positiveX(Vector3d dir)

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 normalizedPositiveX(Vector3d) instead.

Reference: http://www.euclideanspace.com

Parameters:

dir - will hold the direction of +X

Returns:

dir

normalizedPositiveX

Vector3d normalizedPositiveX(Vector3d dir)

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

Parameters:

dir - will hold the direction of +X

Returns:

dir

positiveY

Vector3d positiveY(Vector3d dir)

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 normalizedPositiveY(Vector3d) instead.

Reference: http://www.euclideanspace.com

Parameters:

dir - will hold the direction of +Y

Returns:

dir

normalizedPositiveY

Vector3d normalizedPositiveY(Vector3d dir)

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

Parameters:

dir - will hold the direction of +Y

Returns:

dir

origin

Vector3d origin(Vector3d origin)

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));
 

Parameters:

origin - will hold the position transformed to the origin

Returns:

origin

shadow

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.

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

dest - will hold the result

Returns:

dest

shadow

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.

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

dest - will hold the result

Returns:

dest

shadow

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.

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

dest - will hold the result

Returns:

dest

shadow

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.

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

dest - will hold the result

Returns:

dest

pick

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.

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

arcball

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.

This method is equivalent to calling: translate(0, 0, -radius, dest).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

dest - will hold the result

Returns:

dest

arcball

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.

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

dest - will hold the result

Returns:

dest

transformAab

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.

Reference: http://dev.theomader.com

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

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.

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

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.

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

dest - will hold the result

Returns:

dest

rotateTowards

Matrix4x3d rotateTowards(Vector3dc dir,
 Vector3dc up,
 Matrix4x3d dest)

Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the -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!

This method is equivalent to calling: mul(new Matrix4x3d().lookAt(new Vector3d(), new Vector3d(dir).negate(), up).invert(), dest)

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)

rotateTowards

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 -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!

This method is equivalent to calling: mul(new Matrix4x3d().lookAt(0, 0, 0, -dirX, -dirY, -dirZ, upX, upY, upZ).invert(), dest)

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, Matrix4x3d)

getEulerAnglesXYZ

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.

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 Matrix4x3d.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/

Parameters:

dest - will hold the extracted Euler angles

Returns:

dest

getEulerAnglesZYX

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.

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 Matrix4x3d.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/

Parameters:

dest - will hold the extracted Euler angles

Returns:

dest

obliqueZ

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
 

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

Matrix4x3d mapXZY(Matrix4x3d dest)

Multiply this by the matrix

 1 0 0 0
 0 0 1 0
 0 1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapXZnY

Matrix4x3d mapXZnY(Matrix4x3d dest)

Multiply this by the matrix

 1 0  0 0
 0 0 -1 0
 0 1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapXnYnZ

Matrix4x3d mapXnYnZ(Matrix4x3d dest)

Multiply this by the matrix

 1  0  0 0
 0 -1  0 0
 0  0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapXnZY

Matrix4x3d mapXnZY(Matrix4x3d dest)

Multiply this by the matrix

 1  0 0 0
 0  0 1 0
 0 -1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapXnZnY

Matrix4x3d mapXnZnY(Matrix4x3d dest)

Multiply this by the matrix

 1  0  0 0
 0  0 -1 0
 0 -1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYXZ

Matrix4x3d mapYXZ(Matrix4x3d dest)

Multiply this by the matrix

 0 1 0 0
 1 0 0 0
 0 0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYXnZ

Matrix4x3d mapYXnZ(Matrix4x3d dest)

Multiply this by the matrix

 0 1  0 0
 1 0  0 0
 0 0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYZX

Matrix4x3d mapYZX(Matrix4x3d dest)

Multiply this by the matrix

 0 0 1 0
 1 0 0 0
 0 1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYZnX

Matrix4x3d mapYZnX(Matrix4x3d dest)

Multiply this by the matrix

 0 0 -1 0
 1 0  0 0
 0 1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYnXZ

Matrix4x3d mapYnXZ(Matrix4x3d dest)

Multiply this by the matrix

 0 -1 0 0
 1  0 0 0
 0  0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYnXnZ

Matrix4x3d mapYnXnZ(Matrix4x3d dest)

Multiply this by the matrix

 0 -1  0 0
 1  0  0 0
 0  0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYnZX

Matrix4x3d mapYnZX(Matrix4x3d dest)

Multiply this by the matrix

 0  0 1 0
 1  0 0 0
 0 -1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapYnZnX

Matrix4x3d mapYnZnX(Matrix4x3d dest)

Multiply this by the matrix

 0  0 -1 0
 1  0  0 0
 0 -1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZXY

Matrix4x3d mapZXY(Matrix4x3d dest)

Multiply this by the matrix

 0 1 0 0
 0 0 1 0
 1 0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZXnY

Matrix4x3d mapZXnY(Matrix4x3d dest)

Multiply this by the matrix

 0 1  0 0
 0 0 -1 0
 1 0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZYX

Matrix4x3d mapZYX(Matrix4x3d dest)

Multiply this by the matrix

 0 0 1 0
 0 1 0 0
 1 0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZYnX

Matrix4x3d mapZYnX(Matrix4x3d dest)

Multiply this by the matrix

 0 0 -1 0
 0 1  0 0
 1 0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZnXY

Matrix4x3d mapZnXY(Matrix4x3d dest)

Multiply this by the matrix

 0 -1 0 0
 0  0 1 0
 1  0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZnXnY

Matrix4x3d mapZnXnY(Matrix4x3d dest)

Multiply this by the matrix

 0 -1  0 0
 0  0 -1 0
 1  0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZnYX

Matrix4x3d mapZnYX(Matrix4x3d dest)

Multiply this by the matrix

 0  0 1 0
 0 -1 0 0
 1  0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapZnYnX

Matrix4x3d mapZnYnX(Matrix4x3d dest)

Multiply this by the matrix

 0  0 -1 0
 0 -1  0 0
 1  0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXYnZ

Matrix4x3d mapnXYnZ(Matrix4x3d dest)

Multiply this by the matrix

 -1 0  0 0
  0 1  0 0
  0 0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXZY

Matrix4x3d mapnXZY(Matrix4x3d dest)

Multiply this by the matrix

 -1 0 0 0
  0 0 1 0
  0 1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXZnY

Matrix4x3d mapnXZnY(Matrix4x3d dest)

Multiply this by the matrix

 -1 0  0 0
  0 0 -1 0
  0 1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXnYZ

Matrix4x3d mapnXnYZ(Matrix4x3d dest)

Multiply this by the matrix

 -1  0 0 0
  0 -1 0 0
  0  0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXnYnZ

Matrix4x3d mapnXnYnZ(Matrix4x3d dest)

Multiply this by the matrix

 -1  0  0 0
  0 -1  0 0
  0  0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXnZY

Matrix4x3d mapnXnZY(Matrix4x3d dest)

Multiply this by the matrix

 -1  0 0 0
  0  0 1 0
  0 -1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnXnZnY

Matrix4x3d mapnXnZnY(Matrix4x3d dest)

Multiply this by the matrix

 -1  0  0 0
  0  0 -1 0
  0 -1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYXZ

Matrix4x3d mapnYXZ(Matrix4x3d dest)

Multiply this by the matrix

  0 1 0 0
 -1 0 0 0
  0 0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYXnZ

Matrix4x3d mapnYXnZ(Matrix4x3d dest)

Multiply this by the matrix

  0 1  0 0
 -1 0  0 0
  0 0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYZX

Matrix4x3d mapnYZX(Matrix4x3d dest)

Multiply this by the matrix

  0 0 1 0
 -1 0 0 0
  0 1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYZnX

Matrix4x3d mapnYZnX(Matrix4x3d dest)

Multiply this by the matrix

  0 0 -1 0
 -1 0  0 0
  0 1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYnXZ

Matrix4x3d mapnYnXZ(Matrix4x3d dest)

Multiply this by the matrix

  0 -1 0 0
 -1  0 0 0
  0  0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYnXnZ

Matrix4x3d mapnYnXnZ(Matrix4x3d dest)

Multiply this by the matrix

  0 -1  0 0
 -1  0  0 0
  0  0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYnZX

Matrix4x3d mapnYnZX(Matrix4x3d dest)

Multiply this by the matrix

  0  0 1 0
 -1  0 0 0
  0 -1 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnYnZnX

Matrix4x3d mapnYnZnX(Matrix4x3d dest)

Multiply this by the matrix

  0  0 -1 0
 -1  0  0 0
  0 -1  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZXY

Matrix4x3d mapnZXY(Matrix4x3d dest)

Multiply this by the matrix

  0 1 0 0
  0 0 1 0
 -1 0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZXnY

Matrix4x3d mapnZXnY(Matrix4x3d dest)

Multiply this by the matrix

  0 1  0 0
  0 0 -1 0
 -1 0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZYX

Matrix4x3d mapnZYX(Matrix4x3d dest)

Multiply this by the matrix

  0 0 1 0
  0 1 0 0
 -1 0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZYnX

Matrix4x3d mapnZYnX(Matrix4x3d dest)

Multiply this by the matrix

  0 0 -1 0
  0 1  0 0
 -1 0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZnXY

Matrix4x3d mapnZnXY(Matrix4x3d dest)

Multiply this by the matrix

  0 -1 0 0
  0  0 1 0
 -1  0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZnXnY

Matrix4x3d mapnZnXnY(Matrix4x3d dest)

Multiply this by the matrix

  0 -1  0 0
  0  0 -1 0
 -1  0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZnYX

Matrix4x3d mapnZnYX(Matrix4x3d dest)

Multiply this by the matrix

  0  0 1 0
  0 -1 0 0
 -1  0 0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

mapnZnYnX

Matrix4x3d mapnZnYnX(Matrix4x3d dest)

Multiply this by the matrix

  0  0 -1 0
  0 -1  0 0
 -1  0  0 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

negateX

Matrix4x3d negateX(Matrix4x3d dest)

Multiply this by the matrix

 -1 0 0 0
  0 1 0 0
  0 0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

negateY

Matrix4x3d negateY(Matrix4x3d dest)

Multiply this by the matrix

 1  0 0 0
 0 -1 0 0
 0  0 1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

negateZ

Matrix4x3d negateZ(Matrix4x3d dest)

Multiply this by the matrix

 1 0  0 0
 0 1  0 0
 0 0 -1 0
 

and store the result in dest.

Parameters:

dest - will hold the result

Returns:

dest

equals

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.

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.

Parameters:

m - the other matrix

delta - the allowed maximum difference

Returns:

true whether all of the matrix elements are equal; false otherwise

isFinite

boolean isFinite()

Determine whether all matrix elements are finite floating-point values, that is, they are not NaN and not infinity.

Returns:

true if all components are finite floating-point values; false otherwise