Interface Matrix4x3dc

 All Known Implementing Classes:
Matrix4x3d
,Matrix4x3dStack
public interface Matrix4x3dc
Interface to a readonly view of a 4x3 matrix of doubleprecision floats. Author:
 Kai Burjack


Field Summary
Fields Modifier and Type Field Description static int
PLANE_NX
Argument to the first parameter offrustumPlane(int, Vector4d)
identifying the plane with equationx=1
when using the identity matrix.static int
PLANE_NY
Argument to the first parameter offrustumPlane(int, Vector4d)
identifying the plane with equationy=1
when using the identity matrix.static int
PLANE_NZ
Argument to the first parameter offrustumPlane(int, Vector4d)
identifying the plane with equationz=1
when using the identity matrix.static int
PLANE_PX
Argument to the first parameter offrustumPlane(int, Vector4d)
identifying the plane with equationx=1
when using the identity matrix.static int
PLANE_PY
Argument to the first parameter offrustumPlane(int, Vector4d)
identifying the plane with equationy=1
when using the identity matrix.static int
PLANE_PZ
Argument to the first parameter offrustumPlane(int, Vector4d)
identifying the plane with equationz=1
when using the identity matrix.static byte
PROPERTY_IDENTITY
Bit returned byproperties()
to indicate that the matrix represents the identity transformation.static byte
PROPERTY_ORTHONORMAL
Bit returned byproperties()
to indicate that the left 3x3 submatrix represents an orthogonal matrix (i.e.static byte
PROPERTY_TRANSLATION
Bit returned byproperties()
to indicate that the matrix represents a pure translation transformation.

Method Summary
All Methods Instance Methods Abstract Methods Modifier and Type Method Description Matrix4x3d
add(Matrix4x3dc other, Matrix4x3d dest)
Componentwise addthis
andother
and store the result indest
.Matrix4x3d
add(Matrix4x3fc other, Matrix4x3d dest)
Componentwise addthis
andother
and store the result indest
.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 givenradius
and center(centerX, centerY, centerZ)
position of the arcball and the specified X and Y rotation angles, and store the result indest
.Matrix4x3d
arcball(double radius, Vector3dc center, double angleX, double angleY, Matrix4x3d dest)
Apply an arcball view transformation to this matrix with the givenradius
andcenter
position of the arcball and the specified X and Y rotation angles, and store the result indest
.Matrix3d
cofactor3x3(Matrix3d dest)
Compute the cofactor matrix of the left 3x3 submatrix ofthis
and store it intodest
.Matrix4x3d
cofactor3x3(Matrix4x3d dest)
Compute the cofactor matrix of the left 3x3 submatrix ofthis
and store it intodest
.double
determinant()
Return the determinant of this matrix.boolean
equals(Matrix4x3dc m, double delta)
Compare the matrix elements ofthis
matrix with the given matrix using the givendelta
and return whether all of them are equal within a maximum difference ofdelta
.Matrix4x3d
fma(Matrix4x3dc other, double otherFactor, Matrix4x3d dest)
Componentwise addthis
andother
by first multiplying each component ofother
byotherFactor
, adding that tothis
and storing the final result indest
.Matrix4x3d
fma(Matrix4x3fc other, double otherFactor, Matrix4x3d dest)
Componentwise addthis
andother
by first multiplying each component ofother
byotherFactor
, adding that tothis
and storing the final result indest
.Vector4d
frustumPlane(int which, Vector4d dest)
Calculate a frustum plane ofthis
matrix, which can be a projection matrix or a combined modelviewprojection matrix, and store the result in the givendest
.double[]
get(double[] arr)
Store this matrix into the supplied double array in columnmajor order.double[]
get(double[] arr, int offset)
Store this matrix into the supplied double array in columnmajor order at the given offset.float[]
get(float[] arr)
Store the elements of this matrix as float values in columnmajor order into the supplied float array.float[]
get(float[] arr, int offset)
Store the elements of this matrix as float values in columnmajor order into the supplied float array at the given offset.java.nio.ByteBuffer
get(int index, java.nio.ByteBuffer buffer)
Store this matrix in columnmajor order into the suppliedByteBuffer
starting at the specified absolute buffer position/index.java.nio.DoubleBuffer
get(int index, java.nio.DoubleBuffer buffer)
Store this matrix in columnmajor order into the suppliedDoubleBuffer
starting at the specified absolute buffer position/index.java.nio.FloatBuffer
get(int index, java.nio.FloatBuffer buffer)
Store this matrix in columnmajor order into the suppliedFloatBuffer
starting at the specified absolute buffer position/index.java.nio.ByteBuffer
get(java.nio.ByteBuffer buffer)
Store this matrix in columnmajor order into the suppliedByteBuffer
at the current bufferposition
.java.nio.DoubleBuffer
get(java.nio.DoubleBuffer buffer)
Store this matrix in columnmajor order into the suppliedDoubleBuffer
at the current bufferposition
.java.nio.FloatBuffer
get(java.nio.FloatBuffer buffer)
Store this matrix in columnmajor order into the suppliedFloatBuffer
at the current bufferposition
.Matrix4d
get(Matrix4d dest)
Get the current values ofthis
matrix and store them into the upper 4x3 submatrix ofdest
.Matrix4x3d
get(Matrix4x3d dest)
Get the current values ofthis
matrix and store them intodest
.double[]
get4x4(double[] arr)
Store a 4x4 matrix in columnmajor order into the supplied array, where the upper 4x3 submatrix isthis
and the last row is(0, 0, 0, 1)
.double[]
get4x4(double[] arr, int offset)
Store a 4x4 matrix in columnmajor order into the supplied array at the given offset, where the upper 4x3 submatrix isthis
and the last row is(0, 0, 0, 1)
.float[]
get4x4(float[] arr)
Store a 4x4 matrix in columnmajor order into the supplied array, where the upper 4x3 submatrix isthis
and the last row is(0, 0, 0, 1)
.float[]
get4x4(float[] arr, int offset)
Store a 4x4 matrix in columnmajor order into the supplied array at the given offset, where the upper 4x3 submatrix isthis
and the last row is(0, 0, 0, 1)
.java.nio.ByteBuffer
get4x4(int index, java.nio.ByteBuffer buffer)
Store a 4x4 matrix in columnmajor order into the suppliedByteBuffer
starting at the specified absolute buffer position/index, where the upper 4x3 submatrix isthis
and the last row is(0, 0, 0, 1)
.java.nio.DoubleBuffer
get4x4(int index, java.nio.DoubleBuffer buffer)
Store a 4x4 matrix in columnmajor order into the suppliedDoubleBuffer
starting at the specified absolute buffer position/index, where the upper 4x3 submatrix isthis
and the last row is(0, 0, 0, 1)
.java.nio.ByteBuffer
get4x4(java.nio.ByteBuffer buffer)
Store a 4x4 matrix in columnmajor order into the suppliedByteBuffer
at the current bufferposition
, where the upper 4x3 submatrix isthis
and the last row is(0, 0, 0, 1)
.java.nio.DoubleBuffer
get4x4(java.nio.DoubleBuffer buffer)
Store a 4x4 matrix in columnmajor order into the suppliedDoubleBuffer
at the current bufferposition
, where the upper 4x3 submatrix isthis
and the last row is(0, 0, 0, 1)
.Vector3d
getColumn(int column, Vector3d dest)
Get the column at the givencolumn
index, starting with0
.Vector3d
getEulerAnglesXYZ(Vector3d dest)
Extract the Euler angles from the rotation represented by the left 3x3 submatrix ofthis
and store the extracted Euler angles indest
.Vector3d
getEulerAnglesZYX(Vector3d dest)
Extract the Euler angles from the rotation represented by the left 3x3 submatrix ofthis
and store the extracted Euler angles indest
.java.nio.ByteBuffer
getFloats(int index, java.nio.ByteBuffer buffer)
Store the elements of this matrix as float values in columnmajor order into the suppliedByteBuffer
starting at the specified absolute buffer position/index.java.nio.ByteBuffer
getFloats(java.nio.ByteBuffer buffer)
Store the elements of this matrix as float values in columnmajor order into the suppliedByteBuffer
at the current bufferposition
.Quaterniond
getNormalizedRotation(Quaterniond dest)
Get the current values ofthis
matrix and store the represented rotation into the givenQuaterniond
.Quaternionf
getNormalizedRotation(Quaternionf dest)
Get the current values ofthis
matrix and store the represented rotation into the givenQuaternionf
.Vector4d
getRow(int row, Vector4d dest)
Get the row at the givenrow
index, starting with0
.Vector3d
getScale(Vector3d dest)
Get the scaling factors ofthis
matrix for the three base axes.Matrix4x3dc
getToAddress(long address)
Store this matrix in columnmajor order at the given offheap address.Vector3d
getTranslation(Vector3d dest)
Get only the translation components(m30, m31, m32)
of this matrix and store them in the given vectorxyz
.double[]
getTransposed(double[] arr)
Store this matrix into the supplied float array in rowmajor order.double[]
getTransposed(double[] arr, int offset)
Store this matrix into the supplied float array in rowmajor order at the given offset.java.nio.ByteBuffer
getTransposed(int index, java.nio.ByteBuffer buffer)
Store this matrix in rowmajor order into the suppliedByteBuffer
starting at the specified absolute buffer position/index.java.nio.DoubleBuffer
getTransposed(int index, java.nio.DoubleBuffer buffer)
Store this matrix in rowmajor order into the suppliedDoubleBuffer
starting at the specified absolute buffer position/index.java.nio.FloatBuffer
getTransposed(int index, java.nio.FloatBuffer buffer)
Store this matrix in rowmajor order into the suppliedFloatBuffer
starting at the specified absolute buffer position/index.java.nio.ByteBuffer
getTransposed(java.nio.ByteBuffer buffer)
Store this matrix in rowmajor order into the suppliedByteBuffer
at the current bufferposition
.java.nio.DoubleBuffer
getTransposed(java.nio.DoubleBuffer buffer)
Store this matrix in rowmajor order into the suppliedDoubleBuffer
at the current bufferposition
.java.nio.FloatBuffer
getTransposed(java.nio.FloatBuffer buffer)
Store this matrix in rowmajor order into the suppliedFloatBuffer
at the current bufferposition
.java.nio.ByteBuffer
getTransposedFloats(int index, java.nio.ByteBuffer buffer)
Store this matrix in rowmajor order into the suppliedByteBuffer
starting at the specified absolute buffer position/index.java.nio.ByteBuffer
getTransposedFloats(java.nio.ByteBuffer buffer)
Store this matrix as float values in rowmajor order into the suppliedByteBuffer
at the current bufferposition
.Quaterniond
getUnnormalizedRotation(Quaterniond dest)
Get the current values ofthis
matrix and store the represented rotation into the givenQuaterniond
.Quaternionf
getUnnormalizedRotation(Quaternionf dest)
Get the current values ofthis
matrix and store the represented rotation into the givenQuaternionf
.Matrix4x3d
invert(Matrix4x3d dest)
Invertthis
matrix and store the result indest
.Matrix4x3d
invertOrtho(Matrix4x3d dest)
Invertthis
orthographic projection matrix and store the result into the givendest
.boolean
isFinite()
Determine whether all matrix elements are finite floatingpoint values, that is, they are notNaN
and notinfinity
.Matrix4x3d
lerp(Matrix4x3dc other, double t, Matrix4x3d dest)
Linearly interpolatethis
andother
using the given interpolation factort
and store the result indest
.Matrix4x3d
lookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ, Matrix4x3d dest)
Apply a rotation transformation to this matrix to makez
point alongdir
and store the result indest
.Matrix4x3d
lookAlong(Vector3dc dir, Vector3dc up, Matrix4x3d dest)
Apply a rotation transformation to this matrix to makez
point alongdir
and store the result indest
.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 righthanded coordinate system, that alignsz
withcenter  eye
and store the result indest
.Matrix4x3d
lookAt(Vector3dc eye, Vector3dc center, Vector3dc up, Matrix4x3d dest)
Apply a "lookat" transformation to this matrix for a righthanded coordinate system, that alignsz
withcenter  eye
and store the result indest
.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 lefthanded coordinate system, that aligns+z
withcenter  eye
and store the result indest
.Matrix4x3d
lookAtLH(Vector3dc eye, Vector3dc center, Vector3dc up, Matrix4x3d dest)
Apply a "lookat" transformation to this matrix for a lefthanded coordinate system, that aligns+z
withcenter  eye
and store the result indest
.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)
Multiplythis
by the matrixMatrix4x3d
mapnXnYZ(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnXnZnY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnXnZY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnXYnZ(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnXZnY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnXZY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnYnXnZ(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnYnXZ(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnYnZnX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnYnZX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnYXnZ(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnYXZ(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnYZnX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnYZX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnZnXnY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnZnXY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnZnYnX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnZnYX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnZXnY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnZXY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnZYnX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapnZYX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapXnYnZ(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapXnZnY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapXnZY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapXZnY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapXZY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapYnXnZ(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapYnXZ(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapYnZnX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapYnZX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapYXnZ(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapYXZ(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapYZnX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapYZX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapZnXnY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapZnXY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapZnYnX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapZnYX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapZXnY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapZXY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapZYnX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mapZYX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
mul(Matrix4x3dc right, Matrix4x3d dest)
Multiply this matrix by the suppliedright
matrix and store the result indest
.Matrix4x3d
mul(Matrix4x3fc right, Matrix4x3d dest)
Multiply this matrix by the suppliedright
matrix and store the result indest
.Matrix4x3d
mul3x3(double rm00, double rm01, double rm02, double rm10, double rm11, double rm12, double rm20, double rm21, double rm22, Matrix4x3d dest)
Multiplythis
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 indest
.Matrix4x3d
mulComponentWise(Matrix4x3dc other, Matrix4x3d dest)
Componentwise multiplythis
byother
and store the result indest
.Matrix4x3d
mulOrtho(Matrix4x3dc view, Matrix4x3d dest)
Multiplythis
orthographic projection matrix by the suppliedview
matrix and store the result indest
.Matrix4x3d
mulTranslation(Matrix4x3dc right, Matrix4x3d dest)
Multiply this matrix, which is assumed to only contain a translation, by the suppliedright
matrix and store the result indest
.Matrix4x3d
mulTranslation(Matrix4x3fc right, Matrix4x3d dest)
Multiply this matrix, which is assumed to only contain a translation, by the suppliedright
matrix and store the result indest
.Matrix4x3d
negateX(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
negateY(Matrix4x3d dest)
Multiplythis
by the matrixMatrix4x3d
negateZ(Matrix4x3d dest)
Multiplythis
by the matrixMatrix3d
normal(Matrix3d dest)
Compute a normal matrix from the left 3x3 submatrix ofthis
and store it intodest
.Matrix4x3d
normal(Matrix4x3d dest)
Compute a normal matrix from the left 3x3 submatrix ofthis
and store it into the left 3x3 submatrix ofdest
.Matrix3d
normalize3x3(Matrix3d dest)
Normalize the left 3x3 submatrix of this matrix and store the result indest
.Matrix4x3d
normalize3x3(Matrix4x3d dest)
Normalize the left 3x3 submatrix of this matrix and store the result indest
.Vector3d
normalizedPositiveX(Vector3d dir)
Obtain the direction of+X
before the transformation represented bythis
orthogonal matrix is applied.Vector3d
normalizedPositiveY(Vector3d dir)
Obtain the direction of+Y
before the transformation represented bythis
orthogonal matrix is applied.Vector3d
normalizedPositiveZ(Vector3d dir)
Obtain the direction of+Z
before the transformation represented bythis
orthogonal matrix is applied.Matrix4x3d
obliqueZ(double a, double b, Matrix4x3d dest)
Apply an oblique projection transformation to this matrix with the given values fora
andb
and store the result indest
.Vector3d
origin(Vector3d origin)
Obtain the position that gets transformed to the origin bythis
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 righthanded coordinate system using the given NDC z range to this matrix and store the result indest
.Matrix4x3d
ortho(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4x3d dest)
Apply an orthographic projection transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.Matrix4x3d
ortho2D(double left, double right, double bottom, double top, Matrix4x3d dest)
Apply an orthographic projection transformation for a righthanded coordinate system to this matrix and store the result indest
.Matrix4x3d
ortho2DLH(double left, double right, double bottom, double top, Matrix4x3d dest)
Apply an orthographic projection transformation for a lefthanded coordinate system to this matrix and store the result indest
.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 lefthanded coordiante system using the given NDC z range to this matrix and store the result indest
.Matrix4x3d
orthoLH(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4x3d dest)
Apply an orthographic projection transformation for a lefthanded coordiante system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.Matrix4x3d
orthoSymmetric(double width, double height, double zNear, double zFar, boolean zZeroToOne, Matrix4x3d dest)
Apply a symmetric orthographic projection transformation for a righthanded coordinate system using the given NDC z range to this matrix and store the result indest
.Matrix4x3d
orthoSymmetric(double width, double height, double zNear, double zFar, Matrix4x3d dest)
Apply a symmetric orthographic projection transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.Matrix4x3d
orthoSymmetricLH(double width, double height, double zNear, double zFar, boolean zZeroToOne, Matrix4x3d dest)
Apply a symmetric orthographic projection transformation for a lefthanded coordinate system using the given NDC z range to this matrix and store the result indest
.Matrix4x3d
orthoSymmetricLH(double width, double height, double zNear, double zFar, Matrix4x3d dest)
Apply a symmetric orthographic projection transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.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 indest
.Vector3d
positiveX(Vector3d dir)
Obtain the direction of+X
before the transformation represented bythis
matrix is applied.Vector3d
positiveY(Vector3d dir)
Obtain the direction of+Y
before the transformation represented bythis
matrix is applied.Vector3d
positiveZ(Vector3d dir)
Obtain the direction of+Z
before the transformation represented bythis
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 indest
.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 equationx*a + y*b + z*c + d = 0
and store the result indest
.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 indest
.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 indest
.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 indest
.Matrix4x3d
rotate(double angle, Vector3dc axis, Matrix4x3d dest)
Apply a rotation transformation, rotating the given radians about the specified axis and store the result indest
.Matrix4x3d
rotate(double angle, Vector3fc axis, Matrix4x3d dest)
Apply a rotation transformation, rotating the given radians about the specified axis and store the result indest
.Matrix4x3d
rotate(AxisAngle4d axisAngle, Matrix4x3d dest)
Apply a rotation transformation, rotating about the givenAxisAngle4d
and store the result indest
.Matrix4x3d
rotate(AxisAngle4f axisAngle, Matrix4x3d dest)
Apply a rotation transformation, rotating about the givenAxisAngle4f
and store the result indest
.Matrix4x3d
rotate(Quaterniondc quat, Matrix4x3d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix and store the result indest
.Matrix4x3d
rotate(Quaternionfc quat, Matrix4x3d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix and store the result indest
.Matrix4x3d
rotateAround(Quaterniondc quat, double ox, double oy, double oz, Matrix4x3d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix while using(ox, oy, oz)
as the rotation origin, and store the result indest
.Matrix4x3d
rotateLocal(double ang, double x, double y, double z, Matrix4x3d dest)
Premultiply a rotation to this matrix by rotating the given amount of radians about the specified(x, y, z)
axis and store the result indest
.Matrix4x3d
rotateLocal(Quaterniondc quat, Matrix4x3d dest)
Premultiply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix and store the result indest
.Matrix4x3d
rotateLocal(Quaternionfc quat, Matrix4x3d dest)
Premultiply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix and store the result indest
.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 righthanded coordinate system, that aligns thez
axis with(dirX, dirY, dirZ)
and store the result indest
.Matrix4x3d
rotateTowards(Vector3dc dir, Vector3dc up, Matrix4x3d dest)
Apply a model transformation to this matrix for a righthanded coordinate system, that aligns thez
axis withdir
and store the result indest
.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 indest
.Matrix4x3d
rotateTranslation(Quaterniondc quat, Matrix4x3d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix, which is assumed to only contain a translation, and store the result indest
.Matrix4x3d
rotateTranslation(Quaternionfc quat, Matrix4x3d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix, which is assumed to only contain a translation, and store the result indest
.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 indest
.Matrix4x3d
rotateXYZ(double angleX, double angleY, double angleZ, Matrix4x3d dest)
Apply rotation ofangleX
radians about the X axis, followed by a rotation ofangleY
radians about the Y axis and followed by a rotation ofangleZ
radians about the Z axis and store the result indest
.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 indest
.Matrix4x3d
rotateYXZ(double angleY, double angleX, double angleZ, Matrix4x3d dest)
Apply rotation ofangleY
radians about the Y axis, followed by a rotation ofangleX
radians about the X axis and followed by a rotation ofangleZ
radians about the Z axis and store the result indest
.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 indest
.Matrix4x3d
rotateZYX(double angleZ, double angleY, double angleX, Matrix4x3d dest)
Apply rotation ofangleZ
radians about the Z axis, followed by a rotation ofangleY
radians about the Y axis and followed by a rotation ofangleX
radians about the X axis and store the result indest
.Matrix4x3d
scale(double x, double y, double z, Matrix4x3d dest)
Apply scaling tothis
matrix by scaling the base axes by the given x, y and z factors and store the result indest
.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 indest
.Matrix4x3d
scale(Vector3dc xyz, Matrix4x3d dest)
Apply scaling tothis
matrix by scaling the base axes by the givenxyz.x
,xyz.y
andxyz.z
factors, respectively and store the result indest
.Matrix4x3d
scaleAround(double sx, double sy, double sz, double ox, double oy, double oz, Matrix4x3d dest)
Apply scaling tothis
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 indest
.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 givenfactor
while using(ox, oy, oz)
as the scaling origin, and store the result indest
.Matrix4x3d
scaleLocal(double x, double y, double z, Matrix4x3d dest)
Premultiply scaling tothis
matrix by scaling the base axes by the given x, y and z factors and store the result indest
.Matrix4x3d
scaleXY(double x, double y, Matrix4x3d dest)
Apply scaling to this matrix by by scaling the X axis byx
and the Y axis byy
and store the result indest
.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 equationx*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 indest
.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 equationy = 0
as if casting a shadow from a given light position/direction(lightX, lightY, lightZ, lightW)
and store the result indest
.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 equationx*a + y*b + z*c + d = 0
as if casting a shadow from a given light position/directionlight
and store the result indest
.Matrix4x3d
shadow(Vector4dc light, Matrix4x3dc planeTransform, Matrix4x3d dest)
Apply a projection transformation to this matrix that projects onto the plane with the general plane equationy = 0
as if casting a shadow from a given light position/directionlight
and store the result indest
.Matrix4x3d
sub(Matrix4x3dc subtrahend, Matrix4x3d dest)
Componentwise subtractsubtrahend
fromthis
and store the result indest
.Matrix4x3d
sub(Matrix4x3fc subtrahend, Matrix4x3d dest)
Componentwise subtractsubtrahend
fromthis
and store the result indest
.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 indest
.Matrix4x3d
transformAab(double minX, double minY, double minZ, double maxX, double maxY, double maxZ, Vector3d outMin, Vector3d outMax)
Transform the axisaligned box given as the minimum corner(minX, minY, minZ)
and maximum corner(maxX, maxY, maxZ)
bythis
matrix and compute the axisaligned box of the result whose minimum corner is stored inoutMin
and maximum corner stored inoutMax
.Matrix4x3d
transformAab(Vector3dc min, Vector3dc max, Vector3d outMin, Vector3d outMax)
Transform the axisaligned box given as the minimum cornermin
and maximum cornermax
bythis
matrix and compute the axisaligned box of the result whose minimum corner is stored inoutMin
and maximum corner stored inoutMax
.Vector3d
transformDirection(Vector3d v)
Transform/multiply the given 3Dvector, as if it was a 4Dvector with w=0, by this matrix and store the result in that vector.Vector3d
transformDirection(Vector3dc v, Vector3d dest)
Transform/multiply the given 3Dvector, as if it was a 4Dvector with w=0, by this matrix and store the result indest
.Vector3d
transformPosition(Vector3d v)
Transform/multiply the given 3Dvector, as if it was a 4Dvector with w=1, by this matrix and store the result in that vector.Vector3d
transformPosition(Vector3dc v, Vector3d dest)
Transform/multiply the given 3Dvector, as if it was a 4Dvector with w=1, by this matrix and store the result indest
.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 indest
.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 indest
.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 indest
.Matrix4x3d
translateLocal(double x, double y, double z, Matrix4x3d dest)
Premultiply a translation to this matrix by translating by the given number of units in x, y and z and store the result indest
.Matrix4x3d
translateLocal(Vector3dc offset, Matrix4x3d dest)
Premultiply a translation to this matrix by translating by the given number of units in x, y and z and store the result indest
.Matrix4x3d
translateLocal(Vector3fc offset, Matrix4x3d dest)
Premultiply a translation to this matrix by translating by the given number of units in x, y and z and store the result indest
.Matrix3d
transpose3x3(Matrix3d dest)
Transpose only the left 3x3 submatrix of this matrix and store the result indest
.Matrix4x3d
transpose3x3(Matrix4x3d dest)
Transpose only the left 3x3 submatrix of this matrix and store the result indest
.



Field Detail

PLANE_NX
static final int PLANE_NX
Argument to the first parameter offrustumPlane(int, Vector4d)
identifying the plane with equationx=1
when using the identity matrix. See Also:
 Constant Field Values

PLANE_PX
static final int PLANE_PX
Argument to the first parameter offrustumPlane(int, Vector4d)
identifying the plane with equationx=1
when using the identity matrix. See Also:
 Constant Field Values

PLANE_NY
static final int PLANE_NY
Argument to the first parameter offrustumPlane(int, Vector4d)
identifying the plane with equationy=1
when using the identity matrix. See Also:
 Constant Field Values

PLANE_PY
static final int PLANE_PY
Argument to the first parameter offrustumPlane(int, Vector4d)
identifying the plane with equationy=1
when using the identity matrix. See Also:
 Constant Field Values

PLANE_NZ
static final int PLANE_NZ
Argument to the first parameter offrustumPlane(int, Vector4d)
identifying the plane with equationz=1
when using the identity matrix. See Also:
 Constant Field Values

PLANE_PZ
static final int PLANE_PZ
Argument to the first parameter offrustumPlane(int, Vector4d)
identifying the plane with equationz=1
when using the identity matrix. See Also:
 Constant Field Values

PROPERTY_IDENTITY
static final byte PROPERTY_IDENTITY
Bit returned byproperties()
to indicate that the matrix represents the identity transformation. See Also:
 Constant Field Values

PROPERTY_TRANSLATION
static final byte PROPERTY_TRANSLATION
Bit returned byproperties()
to indicate that the matrix represents a pure translation transformation. See Also:
 Constant Field Values

PROPERTY_ORTHONORMAL
static final byte PROPERTY_ORTHONORMAL
Bit returned byproperties()
to indicate that the left 3x3 submatrix represents an orthogonal matrix (i.e. orthonormal basis). See Also:
 Constant Field Values


Method Detail

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 ofthis
matrix and store them into the upper 4x3 submatrix ofdest
.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 suppliedright
matrix and store the result indest
.If
M
isthis
matrix andR
theright
matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the transformation of the right matrix will be applied first! Parameters:
right
 the right operand of the multiplicationdest
 will hold the result Returns:
 dest

mul
Matrix4x3d mul(Matrix4x3fc right, Matrix4x3d dest)
Multiply this matrix by the suppliedright
matrix and store the result indest
.If
M
isthis
matrix andR
theright
matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the transformation of the right matrix will be applied first! Parameters:
right
 the right operand of the multiplicationdest
 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 suppliedright
matrix and store the result indest
.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 ofright
.If
M
isthis
matrix andR
theright
matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the transformation of the right matrix will be applied first! Parameters:
right
 the right operand of the matrix multiplicationdest
 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 suppliedright
matrix and store the result indest
.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 ofright
.If
M
isthis
matrix andR
theright
matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the transformation of the right matrix will be applied first! Parameters:
right
 the right operand of the matrix multiplicationdest
 the destination matrix, which will hold the result Returns:
 dest

mulOrtho
Matrix4x3d mulOrtho(Matrix4x3dc view, Matrix4x3d dest)
Multiplythis
orthographic projection matrix by the suppliedview
matrix and store the result indest
.If
M
isthis
matrix andV
theview
matrix, then the new matrix will beM * V
. So when transforming a vectorv
with the new matrix by usingM * V * v
, the transformation of theview
matrix will be applied first! Parameters:
view
 the matrix which to multiplythis
withdest
 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)
Multiplythis
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 indest
.If
M
isthis
matrix andR
the specified matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the transformation of theR
matrix will be applied first! Parameters:
rm00
 the value of the m00 elementrm01
 the value of the m01 elementrm02
 the value of the m02 elementrm10
 the value of the m10 elementrm11
 the value of the m11 elementrm12
 the value of the m12 elementrm20
 the value of the m20 elementrm21
 the value of the m21 elementrm22
 the value of the m22 elementdest
 will hold the result Returns:
 dest

fma
Matrix4x3d fma(Matrix4x3dc other, double otherFactor, Matrix4x3d dest)
Componentwise addthis
andother
by first multiplying each component ofother
byotherFactor
, adding that tothis
and storing the final result indest
.The other components of
dest
will be set to the ones ofthis
.The matrices
this
andother
will not be changed. Parameters:
other
 the other matrixotherFactor
 the factor to multiply each of the other matrix's componentsdest
 will hold the result Returns:
 dest

fma
Matrix4x3d fma(Matrix4x3fc other, double otherFactor, Matrix4x3d dest)
Componentwise addthis
andother
by first multiplying each component ofother
byotherFactor
, adding that tothis
and storing the final result indest
.The other components of
dest
will be set to the ones ofthis
.The matrices
this
andother
will not be changed. Parameters:
other
 the other matrixotherFactor
 the factor to multiply each of the other matrix's componentsdest
 will hold the result Returns:
 dest

add
Matrix4x3d add(Matrix4x3dc other, Matrix4x3d dest)
Componentwise addthis
andother
and store the result indest
. Parameters:
other
 the other addenddest
 will hold the result Returns:
 dest

add
Matrix4x3d add(Matrix4x3fc other, Matrix4x3d dest)
Componentwise addthis
andother
and store the result indest
. Parameters:
other
 the other addenddest
 will hold the result Returns:
 dest

sub
Matrix4x3d sub(Matrix4x3dc subtrahend, Matrix4x3d dest)
Componentwise subtractsubtrahend
fromthis
and store the result indest
. Parameters:
subtrahend
 the subtrahenddest
 will hold the result Returns:
 dest

sub
Matrix4x3d sub(Matrix4x3fc subtrahend, Matrix4x3d dest)
Componentwise subtractsubtrahend
fromthis
and store the result indest
. Parameters:
subtrahend
 the subtrahenddest
 will hold the result Returns:
 dest

mulComponentWise
Matrix4x3d mulComponentWise(Matrix4x3dc other, Matrix4x3d dest)
Componentwise multiplythis
byother
and store the result indest
. Parameters:
other
 the other matrixdest
 will hold the result Returns:
 dest

determinant
double determinant()
Return the determinant of this matrix. Returns:
 the determinant

invert
Matrix4x3d invert(Matrix4x3d dest)
Invertthis
matrix and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

invertOrtho
Matrix4x3d invertOrtho(Matrix4x3d dest)
Invertthis
orthographic projection matrix and store the result into the givendest
.This method can be used to quickly obtain the inverse of an orthographic projection matrix.
 Parameters:
dest
 will hold the inverse ofthis
 Returns:
 dest

transpose3x3
Matrix4x3d transpose3x3(Matrix4x3d dest)
Transpose only the left 3x3 submatrix of this matrix and store the result indest
.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 indest
. 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 vectorxyz
. Parameters:
dest
 will hold the translation components of this matrix Returns:
 dest

getScale
Vector3d getScale(Vector3d dest)
Get the scaling factors ofthis
matrix for the three base axes. Parameters:
dest
 will hold the scaling factors forx
,y
andz
 Returns:
 dest

get
Matrix4x3d get(Matrix4x3d dest)
Get the current values ofthis
matrix and store them intodest
. Parameters:
dest
 the destination matrix Returns:
 the passed in destination

getUnnormalizedRotation
Quaternionf getUnnormalizedRotation(Quaternionf dest)
Get the current values ofthis
matrix and store the represented rotation into the givenQuaternionf
.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 destinationQuaternionf
 Returns:
 the passed in destination
 See Also:
Quaternionf.setFromUnnormalized(Matrix4x3dc)

getNormalizedRotation
Quaternionf getNormalizedRotation(Quaternionf dest)
Get the current values ofthis
matrix and store the represented rotation into the givenQuaternionf
.This method assumes that the first three column vectors of the left 3x3 submatrix are normalized.
 Parameters:
dest
 the destinationQuaternionf
 Returns:
 the passed in destination
 See Also:
Quaternionf.setFromNormalized(Matrix4x3dc)

getUnnormalizedRotation
Quaterniond getUnnormalizedRotation(Quaterniond dest)
Get the current values ofthis
matrix and store the represented rotation into the givenQuaterniond
.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 destinationQuaterniond
 Returns:
 the passed in destination
 See Also:
Quaterniond.setFromUnnormalized(Matrix4x3dc)

getNormalizedRotation
Quaterniond getNormalizedRotation(Quaterniond dest)
Get the current values ofthis
matrix and store the represented rotation into the givenQuaterniond
.This method assumes that the first three column vectors of the left 3x3 submatrix are normalized.
 Parameters:
dest
 the destinationQuaterniond
 Returns:
 the passed in destination
 See Also:
Quaterniond.setFromNormalized(Matrix4x3dc)

get
java.nio.DoubleBuffer get(java.nio.DoubleBuffer buffer)
Store this matrix in columnmajor order into the suppliedDoubleBuffer
at the current bufferposition
.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 columnmajor order at its current position Returns:
 the passed in buffer
 See Also:
get(int, DoubleBuffer)

get
java.nio.DoubleBuffer get(int index, java.nio.DoubleBuffer buffer)
Store this matrix in columnmajor order into the suppliedDoubleBuffer
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 theDoubleBuffer
buffer
 will receive the values of this matrix in columnmajor order Returns:
 the passed in buffer

get
java.nio.FloatBuffer get(java.nio.FloatBuffer buffer)
Store this matrix in columnmajor order into the suppliedFloatBuffer
at the current bufferposition
.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 columnmajor order at its current position Returns:
 the passed in buffer
 See Also:
get(int, FloatBuffer)

get
java.nio.FloatBuffer get(int index, java.nio.FloatBuffer buffer)
Store this matrix in columnmajor order into the suppliedFloatBuffer
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 FloatBufferbuffer
 will receive the values of this matrix in columnmajor order Returns:
 the passed in buffer

get
java.nio.ByteBuffer get(java.nio.ByteBuffer buffer)
Store this matrix in columnmajor order into the suppliedByteBuffer
at the current bufferposition
.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 columnmajor order at its current position Returns:
 the passed in buffer
 See Also:
get(int, ByteBuffer)

get
java.nio.ByteBuffer get(int index, java.nio.ByteBuffer buffer)
Store this matrix in columnmajor order into the suppliedByteBuffer
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 ByteBufferbuffer
 will receive the values of this matrix in columnmajor order Returns:
 the passed in buffer

getFloats
java.nio.ByteBuffer getFloats(java.nio.ByteBuffer buffer)
Store the elements of this matrix as float values in columnmajor order into the suppliedByteBuffer
at the current bufferposition
.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 columnmajor order at its current position Returns:
 the passed in buffer
 See Also:
getFloats(int, ByteBuffer)

getFloats
java.nio.ByteBuffer getFloats(int index, java.nio.ByteBuffer buffer)
Store the elements of this matrix as float values in columnmajor order into the suppliedByteBuffer
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 ByteBufferbuffer
 will receive the elements of this matrix as float values in columnmajor order Returns:
 the passed in buffer

getToAddress
Matrix4x3dc getToAddress(long address)
Store this matrix in columnmajor order at the given offheap 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 offheap address where to store this matrix Returns:
 this

get
double[] get(double[] arr, int offset)
Store this matrix into the supplied double array in columnmajor order at the given offset. Parameters:
arr
 the array to write the matrix values intooffset
 the offset into the array Returns:
 the passed in array

get
double[] get(double[] arr)
Store this matrix into the supplied double array in columnmajor 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 columnmajor 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 intooffset
 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 columnmajor 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 columnmajor order into the supplied array at the given offset, where the upper 4x3 submatrix isthis
and the last row is(0, 0, 0, 1)
. Parameters:
arr
 the array to write the matrix values intooffset
 the offset into the array Returns:
 the passed in array

get4x4
double[] get4x4(double[] arr)
Store a 4x4 matrix in columnmajor order into the supplied array, where the upper 4x3 submatrix isthis
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 columnmajor order into the supplied array at the given offset, where the upper 4x3 submatrix isthis
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 intooffset
 the offset into the array Returns:
 the passed in array

get4x4
float[] get4x4(float[] arr)
Store a 4x4 matrix in columnmajor order into the supplied array, where the upper 4x3 submatrix isthis
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
java.nio.DoubleBuffer get4x4(java.nio.DoubleBuffer buffer)
Store a 4x4 matrix in columnmajor order into the suppliedDoubleBuffer
at the current bufferposition
, where the upper 4x3 submatrix isthis
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 columnmajor order at its current position Returns:
 the passed in buffer
 See Also:
get4x4(int, DoubleBuffer)

get4x4
java.nio.DoubleBuffer get4x4(int index, java.nio.DoubleBuffer buffer)
Store a 4x4 matrix in columnmajor order into the suppliedDoubleBuffer
starting at the specified absolute buffer position/index, where the upper 4x3 submatrix isthis
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 DoubleBufferbuffer
 will receive the values of this matrix in columnmajor order Returns:
 the passed in buffer

get4x4
java.nio.ByteBuffer get4x4(java.nio.ByteBuffer buffer)
Store a 4x4 matrix in columnmajor order into the suppliedByteBuffer
at the current bufferposition
, where the upper 4x3 submatrix isthis
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 columnmajor order at its current position Returns:
 the passed in buffer
 See Also:
get4x4(int, ByteBuffer)

get4x4
java.nio.ByteBuffer get4x4(int index, java.nio.ByteBuffer buffer)
Store a 4x4 matrix in columnmajor order into the suppliedByteBuffer
starting at the specified absolute buffer position/index, where the upper 4x3 submatrix isthis
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 ByteBufferbuffer
 will receive the values of this matrix in columnmajor order Returns:
 the passed in buffer

getTransposed
java.nio.DoubleBuffer getTransposed(java.nio.DoubleBuffer buffer)
Store this matrix in rowmajor order into the suppliedDoubleBuffer
at the current bufferposition
.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 rowmajor order at its current position Returns:
 the passed in buffer
 See Also:
getTransposed(int, DoubleBuffer)

getTransposed
java.nio.DoubleBuffer getTransposed(int index, java.nio.DoubleBuffer buffer)
Store this matrix in rowmajor order into the suppliedDoubleBuffer
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 DoubleBufferbuffer
 will receive the values of this matrix in rowmajor order Returns:
 the passed in buffer

getTransposed
java.nio.ByteBuffer getTransposed(java.nio.ByteBuffer buffer)
Store this matrix in rowmajor order into the suppliedByteBuffer
at the current bufferposition
.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 rowmajor order at its current position Returns:
 the passed in buffer
 See Also:
getTransposed(int, ByteBuffer)

getTransposed
java.nio.ByteBuffer getTransposed(int index, java.nio.ByteBuffer buffer)
Store this matrix in rowmajor order into the suppliedByteBuffer
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 ByteBufferbuffer
 will receive the values of this matrix in rowmajor order Returns:
 the passed in buffer

getTransposed
java.nio.FloatBuffer getTransposed(java.nio.FloatBuffer buffer)
Store this matrix in rowmajor order into the suppliedFloatBuffer
at the current bufferposition
.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 rowmajor order at its current position Returns:
 the passed in buffer
 See Also:
getTransposed(int, FloatBuffer)

getTransposed
java.nio.FloatBuffer getTransposed(int index, java.nio.FloatBuffer buffer)
Store this matrix in rowmajor order into the suppliedFloatBuffer
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 FloatBufferbuffer
 will receive the values of this matrix in rowmajor order Returns:
 the passed in buffer

getTransposedFloats
java.nio.ByteBuffer getTransposedFloats(java.nio.ByteBuffer buffer)
Store this matrix as float values in rowmajor order into the suppliedByteBuffer
at the current bufferposition
.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 rowmajor order at its current position Returns:
 the passed in buffer
 See Also:
getTransposedFloats(int, ByteBuffer)

getTransposedFloats
java.nio.ByteBuffer getTransposedFloats(int index, java.nio.ByteBuffer buffer)
Store this matrix in rowmajor order into the suppliedByteBuffer
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 ByteBufferbuffer
 will receive the values of this matrix as float values in rowmajor order Returns:
 the passed in buffer

getTransposed
double[] getTransposed(double[] arr, int offset)
Store this matrix into the supplied float array in rowmajor order at the given offset. Parameters:
arr
 the array to write the matrix values intooffset
 the offset into the array Returns:
 the passed in array

getTransposed
double[] getTransposed(double[] arr)
Store this matrix into the supplied float array in rowmajor 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 indest
. Parameters:
v
 the vector to transformdest
 will contain the result Returns:
 dest
 See Also:
Vector4d.mul(Matrix4x3dc, Vector4d)

transformPosition
Vector3d transformPosition(Vector3d v)
Transform/multiply the given 3Dvector, as if it was a 4Dvector with w=1, by this matrix and store the result in that vector.The given 3Dvector is treated as a 4Dvector with its wcomponent being 1.0, so it will represent a position/location in 3Dspace 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 3Dvector, as if it was a 4Dvector with w=1, by this matrix and store the result indest
.The given 3Dvector is treated as a 4Dvector with its wcomponent being 1.0, so it will represent a position/location in 3Dspace rather than a direction.
In order to store the result in the same vector, use
transformPosition(Vector3d)
. Parameters:
v
 the vector to transformdest
 will hold the result Returns:
 dest
 See Also:
transformPosition(Vector3d)
,transform(Vector4dc, Vector4d)

transformDirection
Vector3d transformDirection(Vector3d v)
Transform/multiply the given 3Dvector, as if it was a 4Dvector with w=0, by this matrix and store the result in that vector.The given 3Dvector is treated as a 4Dvector with its wcomponent being
0.0
, so it will represent a direction in 3Dspace 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 3Dvector, as if it was a 4Dvector with w=0, by this matrix and store the result indest
.The given 3Dvector is treated as a 4Dvector with its wcomponent being
0.0
, so it will represent a direction in 3Dspace 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 resultdest
 will hold the result Returns:
 dest

scale
Matrix4x3d scale(Vector3dc xyz, Matrix4x3d dest)
Apply scaling tothis
matrix by scaling the base axes by the givenxyz.x
,xyz.y
andxyz.z
factors, respectively and store the result indest
.If
M
isthis
matrix andS
the scaling matrix, then the new matrix will beM * S
. So when transforming a vectorv
with the new matrix by usingM * S * v
, the scaling will be applied first! Parameters:
xyz
 the factors of the x, y and z component, respectivelydest
 will hold the result Returns:
 dest

scale
Matrix4x3d scale(double x, double y, double z, Matrix4x3d dest)
Apply scaling tothis
matrix by scaling the base axes by the given x, y and z factors and store the result indest
.If
M
isthis
matrix andS
the scaling matrix, then the new matrix will beM * S
. So when transforming a vectorv
with the new matrix by usingM * S * v
, the scaling will be applied first! Parameters:
x
 the factor of the x componenty
 the factor of the y componentz
 the factor of the z componentdest
 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 indest
.If
M
isthis
matrix andS
the scaling matrix, then the new matrix will beM * S
. So when transforming a vectorv
with the new matrix by usingM * S * v
, the scaling will be applied first! Parameters:
xyz
 the factor for all componentsdest
 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 byx
and the Y axis byy
and store the result indest
.If
M
isthis
matrix andS
the scaling matrix, then the new matrix will beM * S
. So when transforming a vectorv
with the new matrix by usingM * S * v
, the scaling will be applied first! Parameters:
x
 the factor of the x componenty
 the factor of the y componentdest
 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 tothis
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 indest
.If
M
isthis
matrix andS
the scaling matrix, then the new matrix will beM * S
. So when transforming a vectorv
with the new matrix by usingM * 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 componentsy
 the scaling factor of the y componentsz
 the scaling factor of the z componentox
 the x coordinate of the scaling originoy
 the y coordinate of the scaling originoz
 the z coordinate of the scaling origindest
 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 givenfactor
while using(ox, oy, oz)
as the scaling origin, and store the result indest
.If
M
isthis
matrix andS
the scaling matrix, then the new matrix will beM * S
. So when transforming a vectorv
with the new matrix by usingM * 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 axesox
 the x coordinate of the scaling originoy
 the y coordinate of the scaling originoz
 the z coordinate of the scaling origindest
 will hold the result Returns:
 this

scaleLocal
Matrix4x3d scaleLocal(double x, double y, double z, Matrix4x3d dest)
Premultiply scaling tothis
matrix by scaling the base axes by the given x, y and z factors and store the result indest
.If
M
isthis
matrix andS
the scaling matrix, then the new matrix will beS * M
. So when transforming a vectorv
with the new matrix by usingS * M * v
, the scaling will be applied last! Parameters:
x
 the factor of the x componenty
 the factor of the y componentz
 the factor of the z componentdest
 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 indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andR
the rotation matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the rotation will be applied first! Parameters:
ang
 the angle is in radiansx
 the x component of the axisy
 the y component of the axisz
 the z component of the axisdest
 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 indest
.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 righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andR
the rotation matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the rotation will be applied first!Reference: http://en.wikipedia.org
 Parameters:
ang
 the angle in radiansx
 the x component of the axisy
 the y component of the axisz
 the z component of the axisdest
 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 givenQuaterniondc
to this matrix while using(ox, oy, oz)
as the rotation origin, and store the result indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andQ
the rotation matrix obtained from the given quaternion, then the new matrix will beM * Q
. So when transforming a vectorv
with the new matrix by usingM * 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
 theQuaterniondc
ox
 the x coordinate of the rotation originoy
 the y coordinate of the rotation originoz
 the z coordinate of the rotation origindest
 will hold the result Returns:
 dest

rotateLocal
Matrix4x3d rotateLocal(double ang, double x, double y, double z, Matrix4x3d dest)
Premultiply a rotation to this matrix by rotating the given amount of radians about the specified(x, y, z)
axis and store the result indest
.The axis described by the three components needs to be a unit vector.
When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andR
the rotation matrix, then the new matrix will beR * M
. So when transforming a vectorv
with the new matrix by usingR * M * v
, the rotation will be applied last!Reference: http://en.wikipedia.org
 Parameters:
ang
 the angle in radiansx
 the x component of the axisy
 the y component of the axisz
 the z component of the axisdest
 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 indest
.If
M
isthis
matrix andT
the translation matrix, then the new matrix will beM * T
. So when transforming a vectorv
with the new matrix by usingM * T * v
, the translation will be applied first! Parameters:
offset
 the number of units in x, y and z by which to translatedest
 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 indest
.If
M
isthis
matrix andT
the translation matrix, then the new matrix will beM * T
. So when transforming a vectorv
with the new matrix by usingM * T * v
, the translation will be applied first! Parameters:
offset
 the number of units in x, y and z by which to translatedest
 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 indest
.If
M
isthis
matrix andT
the translation matrix, then the new matrix will beM * T
. So when transforming a vectorv
with the new matrix by usingM * T * v
, the translation will be applied first! Parameters:
x
 the offset to translate in xy
 the offset to translate in yz
 the offset to translate in zdest
 will hold the result Returns:
 dest

translateLocal
Matrix4x3d translateLocal(Vector3fc offset, Matrix4x3d dest)
Premultiply a translation to this matrix by translating by the given number of units in x, y and z and store the result indest
.If
M
isthis
matrix andT
the translation matrix, then the new matrix will beT * M
. So when transforming a vectorv
with the new matrix by usingT * M * v
, the translation will be applied last! Parameters:
offset
 the number of units in x, y and z by which to translatedest
 will hold the result Returns:
 dest

translateLocal
Matrix4x3d translateLocal(Vector3dc offset, Matrix4x3d dest)
Premultiply a translation to this matrix by translating by the given number of units in x, y and z and store the result indest
.If
M
isthis
matrix andT
the translation matrix, then the new matrix will beT * M
. So when transforming a vectorv
with the new matrix by usingT * M * v
, the translation will be applied last! Parameters:
offset
 the number of units in x, y and z by which to translatedest
 will hold the result Returns:
 dest

translateLocal
Matrix4x3d translateLocal(double x, double y, double z, Matrix4x3d dest)
Premultiply a translation to this matrix by translating by the given number of units in x, y and z and store the result indest
.If
M
isthis
matrix andT
the translation matrix, then the new matrix will beT * M
. So when transforming a vectorv
with the new matrix by usingT * M * v
, the translation will be applied last! Parameters:
x
 the offset to translate in xy
 the offset to translate in yz
 the offset to translate in zdest
 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 indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andR
the rotation matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the rotation will be applied first!Reference: http://en.wikipedia.org
 Parameters:
ang
 the angle in radiansdest
 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 indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andR
the rotation matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the rotation will be applied first!Reference: http://en.wikipedia.org
 Parameters:
ang
 the angle in radiansdest
 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 indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andR
the rotation matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the rotation will be applied first!Reference: http://en.wikipedia.org
 Parameters:
ang
 the angle in radiansdest
 will hold the result Returns:
 dest

rotateXYZ
Matrix4x3d rotateXYZ(double angleX, double angleY, double angleZ, Matrix4x3d dest)
Apply rotation ofangleX
radians about the X axis, followed by a rotation ofangleY
radians about the Y axis and followed by a rotation ofangleZ
radians about the Z axis and store the result indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andR
the rotation matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * 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 XangleY
 the angle to rotate about YangleZ
 the angle to rotate about Zdest
 will hold the result Returns:
 dest

rotateZYX
Matrix4x3d rotateZYX(double angleZ, double angleY, double angleX, Matrix4x3d dest)
Apply rotation ofangleZ
radians about the Z axis, followed by a rotation ofangleY
radians about the Y axis and followed by a rotation ofangleX
radians about the X axis and store the result indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andR
the rotation matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * 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 ZangleY
 the angle to rotate about YangleX
 the angle to rotate about Xdest
 will hold the result Returns:
 dest

rotateYXZ
Matrix4x3d rotateYXZ(double angleY, double angleX, double angleZ, Matrix4x3d dest)
Apply rotation ofangleY
radians about the Y axis, followed by a rotation ofangleX
radians about the X axis and followed by a rotation ofangleZ
radians about the Z axis and store the result indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andR
the rotation matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * 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 YangleX
 the angle to rotate about XangleZ
 the angle to rotate about Zdest
 will hold the result Returns:
 dest

rotate
Matrix4x3d rotate(Quaterniondc quat, Matrix4x3d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix and store the result indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andQ
the rotation matrix obtained from the given quaternion, then the new matrix will beM * Q
. So when transforming a vectorv
with the new matrix by usingM * Q * v
, the quaternion rotation will be applied first!Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaterniondc
dest
 will hold the result Returns:
 dest

rotate
Matrix4x3d rotate(Quaternionfc quat, Matrix4x3d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix and store the result indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andQ
the rotation matrix obtained from the given quaternion, then the new matrix will beM * Q
. So when transforming a vectorv
with the new matrix by usingM * Q * v
, the quaternion rotation will be applied first!Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaternionfc
dest
 will hold the result Returns:
 dest

rotateTranslation
Matrix4x3d rotateTranslation(Quaterniondc quat, Matrix4x3d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix, which is assumed to only contain a translation, and store the result indest
.This method assumes
this
to only contain a translation.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andQ
the rotation matrix obtained from the given quaternion, then the new matrix will beM * Q
. So when transforming a vectorv
with the new matrix by usingM * Q * v
, the quaternion rotation will be applied first!Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaterniondc
dest
 will hold the result Returns:
 dest

rotateTranslation
Matrix4x3d rotateTranslation(Quaternionfc quat, Matrix4x3d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix, which is assumed to only contain a translation, and store the result indest
.This method assumes
this
to only contain a translation.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andQ
the rotation matrix obtained from the given quaternion, then the new matrix will beM * Q
. So when transforming a vectorv
with the new matrix by usingM * Q * v
, the quaternion rotation will be applied first!Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaternionfc
dest
 will hold the result Returns:
 dest

rotateLocal
Matrix4x3d rotateLocal(Quaterniondc quat, Matrix4x3d dest)
Premultiply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix and store the result indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andQ
the rotation matrix obtained from the given quaternion, then the new matrix will beQ * M
. So when transforming a vectorv
with the new matrix by usingQ * M * v
, the quaternion rotation will be applied last!Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaterniondc
dest
 will hold the result Returns:
 dest

rotateLocal
Matrix4x3d rotateLocal(Quaternionfc quat, Matrix4x3d dest)
Premultiply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix and store the result indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andQ
the rotation matrix obtained from the given quaternion, then the new matrix will beQ * M
. So when transforming a vectorv
with the new matrix by usingQ * M * v
, the quaternion rotation will be applied last!Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaternionfc
dest
 will hold the result Returns:
 dest

rotate
Matrix4x3d rotate(AxisAngle4f axisAngle, Matrix4x3d dest)
Apply a rotation transformation, rotating about the givenAxisAngle4f
and store the result indest
.The axis described by the
axis
vector needs to be a unit vector.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andA
the rotation matrix obtained from the givenAxisAngle4f
, then the new matrix will beM * A
. So when transforming a vectorv
with the new matrix by usingM * A * v
, theAxisAngle4f
rotation will be applied first!Reference: http://en.wikipedia.org
 Parameters:
axisAngle
 theAxisAngle4f
(needs to benormalized
)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 givenAxisAngle4d
and store the result indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andA
the rotation matrix obtained from the givenAxisAngle4d
, then the new matrix will beM * A
. So when transforming a vectorv
with the new matrix by usingM * A * v
, theAxisAngle4d
rotation will be applied first!Reference: http://en.wikipedia.org
 Parameters:
axisAngle
 theAxisAngle4d
(needs to benormalized
)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 indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andA
the rotation matrix obtained from the given angle and axis, then the new matrix will beM * A
. So when transforming a vectorv
with the new matrix by usingM * A * v
, the axisangle rotation will be applied first!Reference: http://en.wikipedia.org
 Parameters:
angle
 the angle in radiansaxis
 the rotation axis (needs to benormalized
)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 indest
.When used with a righthanded coordinate system, the produced rotation will rotate a vector counterclockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a lefthanded coordinate system, the rotation is clockwise.
If
M
isthis
matrix andA
the rotation matrix obtained from the given angle and axis, then the new matrix will beM * A
. So when transforming a vectorv
with the new matrix by usingM * A * v
, the axisangle rotation will be applied first!Reference: http://en.wikipedia.org
 Parameters:
angle
 the angle in radiansaxis
 the rotation axis (needs to benormalized
)dest
 will hold the result Returns:
 dest
 See Also:
rotate(double, double, double, double, Matrix4x3d)

getRow
Vector4d getRow(int row, Vector4d dest) throws java.lang.IndexOutOfBoundsException
Get the row at the givenrow
index, starting with0
. Parameters:
row
 the row index in[0..2]
dest
 will hold the row components Returns:
 the passed in destination
 Throws:
java.lang.IndexOutOfBoundsException
 ifrow
is not in[0..2]

getColumn
Vector3d getColumn(int column, Vector3d dest) throws java.lang.IndexOutOfBoundsException
Get the column at the givencolumn
index, starting with0
. Parameters:
column
 the column index in[0..3]
dest
 will hold the column components Returns:
 the passed in destination
 Throws:
java.lang.IndexOutOfBoundsException
 ifcolumn
is not in[0..3]

normal
Matrix4x3d normal(Matrix4x3d dest)
Compute a normal matrix from the left 3x3 submatrix ofthis
and store it into the left 3x3 submatrix ofdest
. All other values ofdest
will be set to identity.The normal matrix of
m
is the transpose of the inverse ofm
. Parameters:
dest
 will hold the result Returns:
 dest

normal
Matrix3d normal(Matrix3d dest)
Compute a normal matrix from the left 3x3 submatrix ofthis
and store it intodest
.The normal matrix of
m
is the transpose of the inverse ofm
. Parameters:
dest
 will hold the result Returns:
 dest

cofactor3x3
Matrix3d cofactor3x3(Matrix3d dest)
Compute the cofactor matrix of the left 3x3 submatrix ofthis
and store it intodest
.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 ofthis
and store it intodest
. All other values ofdest
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 indest
.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 indest
.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 equationx*a + y*b + z*c + d = 0
and store the result indest
.The vector
(a, b, c)
must be a unit vector.If
M
isthis
matrix andR
the reflection matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the reflection will be applied first!Reference: msdn.microsoft.com
 Parameters:
a
 the x factor in the plane equationb
 the y factor in the plane equationc
 the z factor in the plane equationd
 the constant in the plane equationdest
 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 indest
.If
M
isthis
matrix andR
the reflection matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the reflection will be applied first! Parameters:
nx
 the xcoordinate of the plane normalny
 the ycoordinate of the plane normalnz
 the zcoordinate of the plane normalpx
 the xcoordinate of a point on the planepy
 the ycoordinate of a point on the planepz
 the zcoordinate of a point on the planedest
 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 indest
.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 givenQuaterniondc
is the identity (does not apply any additional rotation), the reflection plane will bez=0
, offset by the givenpoint
.If
M
isthis
matrix andR
the reflection matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the reflection will be applied first! Parameters:
orientation
 the plane orientationpoint
 a point on the planedest
 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 indest
.If
M
isthis
matrix andR
the reflection matrix, then the new matrix will beM * R
. So when transforming a vectorv
with the new matrix by usingM * R * v
, the reflection will be applied first! Parameters:
normal
 the plane normalpoint
 a point on the planedest
 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 righthanded coordinate system using the given NDC z range to this matrix and store the result indest
.If
M
isthis
matrix andO
the orthographic projection matrix, then the new matrix will beM * O
. So when transforming a vectorv
with the new matrix by usingM * 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 edgeright
 the distance from the center to the right frustum edgebottom
 the distance from the center to the bottom frustum edgetop
 the distance from the center to the top frustum edgezNear
 near clipping plane distancezFar
 far clipping plane distancezZeroToOne
 whether to use Vulkan's and Direct3D's NDC z range of[0..+1]
whentrue
or whether to use OpenGL's NDC z range of[1..+1]
whenfalse
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 righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.If
M
isthis
matrix andO
the orthographic projection matrix, then the new matrix will beM * O
. So when transforming a vectorv
with the new matrix by usingM * 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 edgeright
 the distance from the center to the right frustum edgebottom
 the distance from the center to the bottom frustum edgetop
 the distance from the center to the top frustum edgezNear
 near clipping plane distancezFar
 far clipping plane distancedest
 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 lefthanded coordiante system using the given NDC z range to this matrix and store the result indest
.If
M
isthis
matrix andO
the orthographic projection matrix, then the new matrix will beM * O
. So when transforming a vectorv
with the new matrix by usingM * 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 edgeright
 the distance from the center to the right frustum edgebottom
 the distance from the center to the bottom frustum edgetop
 the distance from the center to the top frustum edgezNear
 near clipping plane distancezFar
 far clipping plane distancezZeroToOne
 whether to use Vulkan's and Direct3D's NDC z range of[0..+1]
whentrue
or whether to use OpenGL's NDC z range of[1..+1]
whenfalse
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 lefthanded coordiante system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.If
M
isthis
matrix andO
the orthographic projection matrix, then the new matrix will beM * O
. So when transforming a vectorv
with the new matrix by usingM * 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 edgeright
 the distance from the center to the right frustum edgebottom
 the distance from the center to the bottom frustum edgetop
 the distance from the center to the top frustum edgezNear
 near clipping plane distancezFar
 far clipping plane distancedest
 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 righthanded coordinate system using the given NDC z range to this matrix and store the result indest
.This method is equivalent to calling
ortho()
withleft=width/2
,right=+width/2
,bottom=height/2
andtop=+height/2
.If
M
isthis
matrix andO
the orthographic projection matrix, then the new matrix will beM * O
. So when transforming a vectorv
with the new matrix by usingM * 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 edgesheight
 the distance between the top and bottom frustum edgeszNear
 near clipping plane distancezFar
 far clipping plane distancedest
 will hold the resultzZeroToOne
 whether to use Vulkan's and Direct3D's NDC z range of[0..+1]
whentrue
or whether to use OpenGL's NDC z range of[1..+1]
whenfalse
 Returns:
 dest

orthoSymmetric
Matrix4x3d orthoSymmetric(double width, double height, double zNear, double zFar, Matrix4x3d dest)
Apply a symmetric orthographic projection transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.This method is equivalent to calling
ortho()
withleft=width/2
,right=+width/2
,bottom=height/2
andtop=+height/2
.If
M
isthis
matrix andO
the orthographic projection matrix, then the new matrix will beM * O
. So when transforming a vectorv
with the new matrix by usingM * 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 edgesheight
 the distance between the top and bottom frustum edgeszNear
 near clipping plane distancezFar
 far clipping plane distancedest
 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 lefthanded coordinate system using the given NDC z range to this matrix and store the result indest
.This method is equivalent to calling
orthoLH()
withleft=width/2
,right=+width/2
,bottom=height/2
andtop=+height/2
.If
M
isthis
matrix andO
the orthographic projection matrix, then the new matrix will beM * O
. So when transforming a vectorv
with the new matrix by usingM * 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 edgesheight
 the distance between the top and bottom frustum edgeszNear
 near clipping plane distancezFar
 far clipping plane distancedest
 will hold the resultzZeroToOne
 whether to use Vulkan's and Direct3D's NDC z range of[0..+1]
whentrue
or whether to use OpenGL's NDC z range of[1..+1]
whenfalse
 Returns:
 dest

orthoSymmetricLH
Matrix4x3d orthoSymmetricLH(double width, double height, double zNear, double zFar, Matrix4x3d dest)
Apply a symmetric orthographic projection transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.This method is equivalent to calling
orthoLH()
withleft=width/2
,right=+width/2
,bottom=height/2
andtop=+height/2
.If
M
isthis
matrix andO
the orthographic projection matrix, then the new matrix will beM * O
. So when transforming a vectorv
with the new matrix by usingM * 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 edgesheight
 the distance between the top and bottom frustum edgeszNear
 near clipping plane distancezFar
 far clipping plane distancedest
 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 righthanded coordinate system to this matrix and store the result indest
.This method is equivalent to calling
ortho()
withzNear=1
andzFar=+1
.If
M
isthis
matrix andO
the orthographic projection matrix, then the new matrix will beM * O
. So when transforming a vectorv
with the new matrix by usingM * 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 edgeright
 the distance from the center to the right frustum edgebottom
 the distance from the center to the bottom frustum edgetop
 the distance from the center to the top frustum edgedest
 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 lefthanded coordinate system to this matrix and store the result indest
.This method is equivalent to calling
orthoLH()
withzNear=1
andzFar=+1
.If
M
isthis
matrix andO
the orthographic projection matrix, then the new matrix will beM * O
. So when transforming a vectorv
with the new matrix by usingM * 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 edgeright
 the distance from the center to the right frustum edgebottom
 the distance from the center to the bottom frustum edgetop
 the distance from the center to the top frustum edgedest
 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 makez
point alongdir
and store the result indest
.If
M
isthis
matrix andL
the lookalong rotation matrix, then the new matrix will beM * L
. So when transforming a vectorv
with the new matrix by usingM * L * v
, the lookalong rotation transformation will be applied first!This is equivalent to calling
lookAt
witheye = (0, 0, 0)
andcenter = dir
. Parameters:
dir
 the direction in space to look alongup
 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 makez
point alongdir
and store the result indest
.If
M
isthis
matrix andL
the lookalong rotation matrix, then the new matrix will beM * L
. So when transforming a vectorv
with the new matrix by usingM * L * v
, the lookalong rotation transformation will be applied first!This is equivalent to calling
lookAt()
witheye = (0, 0, 0)
andcenter = dir
. Parameters:
dirX
 the xcoordinate of the direction to look alongdirY
 the ycoordinate of the direction to look alongdirZ
 the zcoordinate of the direction to look alongupX
 the xcoordinate of the up vectorupY
 the ycoordinate of the up vectorupZ
 the zcoordinate of the up vectordest
 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 righthanded coordinate system, that alignsz
withcenter  eye
and store the result indest
.If
M
isthis
matrix andL
the lookat matrix, then the new matrix will beM * L
. So when transforming a vectorv
with the new matrix by usingM * L * v
, the lookat transformation will be applied first! Parameters:
eye
 the position of the cameracenter
 the point in space to look atup
 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 righthanded coordinate system, that alignsz
withcenter  eye
and store the result indest
.If
M
isthis
matrix andL
the lookat matrix, then the new matrix will beM * L
. So when transforming a vectorv
with the new matrix by usingM * L * v
, the lookat transformation will be applied first! Parameters:
eyeX
 the xcoordinate of the eye/camera locationeyeY
 the ycoordinate of the eye/camera locationeyeZ
 the zcoordinate of the eye/camera locationcenterX
 the xcoordinate of the point to look atcenterY
 the ycoordinate of the point to look atcenterZ
 the zcoordinate of the point to look atupX
 the xcoordinate of the up vectorupY
 the ycoordinate of the up vectorupZ
 the zcoordinate of the up vectordest
 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 lefthanded coordinate system, that aligns+z
withcenter  eye
and store the result indest
.If
M
isthis
matrix andL
the lookat matrix, then the new matrix will beM * L
. So when transforming a vectorv
with the new matrix by usingM * L * v
, the lookat transformation will be applied first! Parameters:
eye
 the position of the cameracenter
 the point in space to look atup
 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 lefthanded coordinate system, that aligns+z
withcenter  eye
and store the result indest
.If
M
isthis
matrix andL
the lookat matrix, then the new matrix will beM * L
. So when transforming a vectorv
with the new matrix by usingM * L * v
, the lookat transformation will be applied first! Parameters:
eyeX
 the xcoordinate of the eye/camera locationeyeY
 the ycoordinate of the eye/camera locationeyeZ
 the zcoordinate of the eye/camera locationcenterX
 the xcoordinate of the point to look atcenterY
 the ycoordinate of the point to look atcenterZ
 the zcoordinate of the point to look atupX
 the xcoordinate of the up vectorupY
 the ycoordinate of the up vectorupZ
 the zcoordinate of the up vectordest
 will hold the result Returns:
 dest
 See Also:
lookAtLH(Vector3dc, Vector3dc, Vector3dc, Matrix4x3d)

frustumPlane
Vector4d frustumPlane(int which, Vector4d dest)
Calculate a frustum plane ofthis
matrix, which can be a projection matrix or a combined modelviewprojection matrix, and store the result in the givendest
.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 usinga*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 WorldViewProjection Matrix

positiveZ
Vector3d positiveZ(Vector3d dir)
Obtain the direction of+Z
before the transformation represented bythis
matrix is applied.This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to
+Z
bythis
matrix.This method is equivalent to the following code:
Matrix4x3d inv = new Matrix4x3d(this).invert(); inv.transformDirection(dir.set(0, 0, 1)).normalize();
Ifthis
is already an orthogonal matrix, then consider usingnormalizedPositiveZ(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 bythis
orthogonal matrix is applied. This method only produces correct results ifthis
is an orthogonal matrix.This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to
+Z
bythis
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 bythis
matrix is applied.This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to
+X
bythis
matrix.This method is equivalent to the following code:
Matrix4x3d inv = new Matrix4x3d(this).invert(); inv.transformDirection(dir.set(1, 0, 0)).normalize();
Ifthis
is already an orthogonal matrix, then consider usingnormalizedPositiveX(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 bythis
orthogonal matrix is applied. This method only produces correct results ifthis
is an orthogonal matrix.This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to
+X
bythis
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 bythis
matrix is applied.This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to
+Y
bythis
matrix.This method is equivalent to the following code:
Matrix4x3d inv = new Matrix4x3d(this).invert(); inv.transformDirection(dir.set(0, 1, 0)).normalize();
Ifthis
is already an orthogonal matrix, then consider usingnormalizedPositiveY(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 bythis
orthogonal matrix is applied. This method only produces correct results ifthis
is an orthogonal matrix.This method uses the rotation component of the left 3x3 submatrix to obtain the direction that is transformed to
+Y
bythis
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 bythis
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 equationx*a + y*b + z*c + d = 0
as if casting a shadow from a given light position/directionlight
and store the result indest
.If
light.w
is0.0
the light is being treated as a directional light; if it is1.0
it is a point light.If
M
isthis
matrix andS
the shadow matrix, then the new matrix will beM * S
. So when transforming a vectorv
with the new matrix by usingM * S * v
, the shadow projection will be applied first!Reference: ftp.sgi.com
 Parameters:
light
 the light's vectora
 the x factor in the plane equationb
 the y factor in the plane equationc
 the z factor in the plane equationd
 the constant in the plane equationdest
 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 equationx*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 indest
.If
lightW
is0.0
the light is being treated as a directional light; if it is1.0
it is a point light.If
M
isthis
matrix andS
the shadow matrix, then the new matrix will beM * S
. So when transforming a vectorv
with the new matrix by usingM * S * v
, the shadow projection will be applied first!Reference: ftp.sgi.com
 Parameters:
lightX
 the xcomponent of the light's vectorlightY
 the ycomponent of the light's vectorlightZ
 the zcomponent of the light's vectorlightW
 the wcomponent of the light's vectora
 the x factor in the plane equationb
 the y factor in the plane equationc
 the z factor in the plane equationd
 the constant in the plane equationdest
 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 equationy = 0
as if casting a shadow from a given light position/directionlight
and store the result indest
.Before the shadow projection is applied, the plane is transformed via the specified
planeTransformation
.If
light.w
is0.0
the light is being treated as a directional light; if it is1.0
it is a point light.If
M
isthis
matrix andS
the shadow matrix, then the new matrix will beM * S
. So when transforming a vectorv
with the new matrix by usingM * S * v
, the shadow projection will be applied first! Parameters:
light
 the light's vectorplaneTransform
 the transformation to transform the implied planey = 0
before applying the projectiondest
 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 equationy = 0
as if casting a shadow from a given light position/direction(lightX, lightY, lightZ, lightW)
and store the result indest
.Before the shadow projection is applied, the plane is transformed via the specified
planeTransformation
.If
lightW
is0.0
the light is being treated as a directional light; if it is1.0
it is a point light.If
M
isthis
matrix andS
the shadow matrix, then the new matrix will beM * S
. So when transforming a vectorv
with the new matrix by usingM * S * v
, the shadow projection will be applied first! Parameters:
lightX
 the xcomponent of the light vectorlightY
 the ycomponent of the light vectorlightZ
 the zcomponent of the light vectorlightW
 the wcomponent of the light vectorplaneTransform
 the transformation to transform the implied planey = 0
before applying the projectiondest
 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 indest
. Parameters:
x
 the x coordinate of the picking region center in window coordinatesy
 the y coordinate of the picking region center in window coordinateswidth
 the width of the picking region in window coordinatesheight
 the height of the picking region in window coordinatesviewport
 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 givenradius
and center(centerX, centerY, centerZ)
position of the arcball and the specified X and Y rotation angles, and store the result indest
.This method is equivalent to calling:
translate(0, 0, radius, dest).rotateX(angleX).rotateY(angleY).translate(centerX, centerY, centerZ)
 Parameters:
radius
 the arcball radiuscenterX
 the x coordinate of the center position of the arcballcenterY
 the y coordinate of the center position of the arcballcenterZ
 the z coordinate of the center position of the arcballangleX
 the rotation angle around the X axis in radiansangleY
 the rotation angle around the Y axis in radiansdest
 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 givenradius
andcenter
position of the arcball and the specified X and Y rotation angles, and store the result indest
.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 radiuscenter
 the center position of the arcballangleX
 the rotation angle around the X axis in radiansangleY
 the rotation angle around the Y axis in radiansdest
 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 axisaligned box given as the minimum corner(minX, minY, minZ)
and maximum corner(maxX, maxY, maxZ)
bythis
matrix and compute the axisaligned box of the result whose minimum corner is stored inoutMin
and maximum corner stored inoutMax
.Reference: http://dev.theomader.com
 Parameters:
minX
 the x coordinate of the minimum corner of the axisaligned boxminY
 the y coordinate of the minimum corner of the axisaligned boxminZ
 the z coordinate of the minimum corner of the axisaligned boxmaxX
 the x coordinate of the maximum corner of the axisaligned boxmaxY
 the y coordinate of the maximum corner of the axisaligned boxmaxZ
 the y coordinate of the maximum corner of the axisaligned boxoutMin
 will hold the minimum corner of the resulting axisaligned boxoutMax
 will hold the maximum corner of the resulting axisaligned box Returns:
 this

transformAab
Matrix4x3d transformAab(Vector3dc min, Vector3dc max, Vector3d outMin, Vector3d outMax)
Transform the axisaligned box given as the minimum cornermin
and maximum cornermax
bythis
matrix and compute the axisaligned box of the result whose minimum corner is stored inoutMin
and maximum corner stored inoutMax
. Parameters:
min
 the minimum corner of the axisaligned boxmax
 the maximum corner of the axisaligned boxoutMin
 will hold the minimum corner of the resulting axisaligned boxoutMax
 will hold the maximum corner of the resulting axisaligned box Returns:
 this

lerp
Matrix4x3d lerp(Matrix4x3dc other, double t, Matrix4x3d dest)
Linearly interpolatethis
andother
using the given interpolation factort
and store the result indest
.If
t
is0.0
then the result isthis
. If the interpolation factor is1.0
then the result isother
. Parameters:
other
 the other matrixt
 the interpolation factor between 0.0 and 1.0dest
 will hold the result Returns:
 dest

rotateTowards
Matrix4x3d rotateTowards(Vector3dc dir, Vector3dc up, Matrix4x3d dest)
Apply a model transformation to this matrix for a righthanded coordinate system, that aligns thez
axis withdir
and store the result indest
.If
M
isthis
matrix andL
the lookat matrix, then the new matrix will beM * L
. So when transforming a vectorv
with the new matrix by usingM * 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 towardsup
 the up vectordest
 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 righthanded coordinate system, that aligns thez
axis with(dirX, dirY, dirZ)
and store the result indest
.If
M
isthis
matrix andL
the lookat matrix, then the new matrix will beM * L
. So when transforming a vectorv
with the new matrix by usingM * 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 xcoordinate of the direction to rotate towardsdirY
 the ycoordinate of the direction to rotate towardsdirZ
 the zcoordinate of the direction to rotate towardsupX
 the xcoordinate of the up vectorupY
 the ycoordinate of the up vectorupZ
 the zcoordinate of the up vectordest
 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 ofthis
and store the extracted Euler angles indest
.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 theVector3d.y
field and the angle around Z in theVector3d.z
field of the suppliedVector3d
instance.Note that the returned Euler angles must be applied in the order
X * Y * Z
to obtain the identical matrix. This means that callingMatrix4x3d.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 matrixm2
should be identical tom
(disregarding possible floatingpoint 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 ofthis
and store the extracted Euler angles indest
.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 theVector3d.y
field and the angle around Z in theVector3d.z
field of the suppliedVector3d
instance.Note that the returned Euler angles must be applied in the order
Z * Y * X
to obtain the identical matrix. This means that callingMatrix4x3d.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 matrixm2
should be identical tom
(disregarding possible floatingpoint 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 fora
andb
and store the result indest
.If
M
isthis
matrix andO
the oblique transformation matrix, then the new matrix will beM * O
. So when transforming a vectorv
with the new matrix by usingM * 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 xb
 the value for the z factor that applies to ydest
 will hold the result Returns:
 dest

mapXZY
Matrix4x3d mapXZY(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 0 1 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapXZnY
Matrix4x3d mapXZnY(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 0 1 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapXnYnZ
Matrix4x3d mapXnYnZ(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 1 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapXnZY
Matrix4x3d mapXnZY(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 0 1 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapXnZnY
Matrix4x3d mapXnZnY(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 0 1 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapYXZ
Matrix4x3d mapYXZ(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 1 0 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapYXnZ
Matrix4x3d mapYXnZ(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 1 0 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapYZX
Matrix4x3d mapYZX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 1 0 0 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapYZnX
Matrix4x3d mapYZnX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 1 0 0 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapYnXZ
Matrix4x3d mapYnXZ(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 1 0 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapYnXnZ
Matrix4x3d mapYnXnZ(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 1 0 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapYnZX
Matrix4x3d mapYnZX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 1 0 0 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapYnZnX
Matrix4x3d mapYnZnX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 1 0 0 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapZXY
Matrix4x3d mapZXY(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 0 0 1 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapZXnY
Matrix4x3d mapZXnY(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 0 0 1 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapZYX
Matrix4x3d mapZYX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 0 1 0 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapZYnX
Matrix4x3d mapZYnX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 0 1 0 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapZnXY
Matrix4x3d mapZnXY(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 0 0 1 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapZnXnY
Matrix4x3d mapZnXnY(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 0 0 1 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapZnYX
Matrix4x3d mapZnYX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 0 1 0 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapZnYnX
Matrix4x3d mapZnYnX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 0 1 0 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnXYnZ
Matrix4x3d mapnXYnZ(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 1 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnXZY
Matrix4x3d mapnXZY(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 0 1 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnXZnY
Matrix4x3d mapnXZnY(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 0 1 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnXnYZ
Matrix4x3d mapnXnYZ(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 1 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnXnYnZ
Matrix4x3d mapnXnYnZ(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 1 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnXnZY
Matrix4x3d mapnXnZY(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 0 1 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnXnZnY
Matrix4x3d mapnXnZnY(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 0 1 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnYXZ
Matrix4x3d mapnYXZ(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 1 0 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnYXnZ
Matrix4x3d mapnYXnZ(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 1 0 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnYZX
Matrix4x3d mapnYZX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 1 0 0 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnYZnX
Matrix4x3d mapnYZnX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 1 0 0 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnYnXZ
Matrix4x3d mapnYnXZ(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 1 0 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnYnXnZ
Matrix4x3d mapnYnXnZ(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 1 0 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnYnZX
Matrix4x3d mapnYnZX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 1 0 0 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnYnZnX
Matrix4x3d mapnYnZnX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 1 0 0 0 0 1 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnZXY
Matrix4x3d mapnZXY(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 0 0 1 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnZXnY
Matrix4x3d mapnZXnY(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 0 0 1 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnZYX
Matrix4x3d mapnZYX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 0 1 0 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnZYnX
Matrix4x3d mapnZYnX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 0 1 0 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnZnXY
Matrix4x3d mapnZnXY(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 0 0 1 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnZnXnY
Matrix4x3d mapnZnXnY(Matrix4x3d dest)
Multiplythis
by the matrix0 1 0 0 0 0 1 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnZnYX
Matrix4x3d mapnZnYX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 0 1 0 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

mapnZnYnX
Matrix4x3d mapnZnYnX(Matrix4x3d dest)
Multiplythis
by the matrix0 0 1 0 0 1 0 0 1 0 0 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

negateX
Matrix4x3d negateX(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 1 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

negateY
Matrix4x3d negateY(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 1 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

negateZ
Matrix4x3d negateZ(Matrix4x3d dest)
Multiplythis
by the matrix1 0 0 0 0 1 0 0 0 0 1 0
and store the result indest
. Parameters:
dest
 will hold the result Returns:
 dest

equals
boolean equals(Matrix4x3dc m, double delta)
Compare the matrix elements ofthis
matrix with the given matrix using the givendelta
and return whether all of them are equal within a maximum difference ofdelta
.Please note that this method is not used by any data structure such as
ArrayList
HashSet
orHashMap
and their operations, such asArrayList.contains(Object)
orHashSet.remove(Object)
, since those data structures only use theObject.equals(Object)
andObject.hashCode()
methods. Parameters:
m
 the other matrixdelta
 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 floatingpoint values, that is, they are notNaN
and notinfinity
. Returns:
true
if all components are finite floatingpoint values;false
otherwise

