Class Matrix4d
 java.lang.Object

 org.joml.Matrix4d

 All Implemented Interfaces:
java.io.Externalizable
,java.io.Serializable
,java.lang.Cloneable
,Matrix4dc
 Direct Known Subclasses:
Matrix4dStack
public class Matrix4d extends java.lang.Object implements java.io.Externalizable, java.lang.Cloneable, Matrix4dc
Contains the definition of a 4x4 Matrix of doubles, and associated functions to transform it. The matrix is columnmajor to match OpenGL's interpretation, and it looks like this:m00 m10 m20 m30
m01 m11 m21 m31
m02 m12 m22 m32
m03 m13 m23 m33 Author:
 Richard Greenlees, Kai Burjack
 See Also:
 Serialized Form


Field Summary

Fields inherited from interface org.joml.Matrix4dc
CORNER_NXNYNZ, CORNER_NXNYPZ, CORNER_NXPYNZ, CORNER_NXPYPZ, CORNER_PXNYNZ, CORNER_PXNYPZ, CORNER_PXPYNZ, CORNER_PXPYPZ, PLANE_NX, PLANE_NY, PLANE_NZ, PLANE_PX, PLANE_PY, PLANE_PZ, PROPERTY_AFFINE, PROPERTY_IDENTITY, PROPERTY_ORTHONORMAL, PROPERTY_PERSPECTIVE, PROPERTY_TRANSLATION


Constructor Summary
Constructors Constructor Description Matrix4d()
Matrix4d(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33)
Create a new 4x4 matrix using the supplied double values.Matrix4d(java.nio.DoubleBuffer buffer)
Create a newMatrix4d
by reading its 16 double components from the givenDoubleBuffer
at the buffer's current position.Matrix4d(Matrix3dc mat)
Matrix4d(Matrix4dc mat)
Create a newMatrix4d
and make it a copy of the given matrix.Matrix4d(Matrix4fc mat)
Create a newMatrix4d
and make it a copy of the given matrix.Matrix4d(Matrix4x3dc mat)
Create a newMatrix4d
and set its upper 4x3 submatrix to the given matrixmat
and all other elements to identity.Matrix4d(Matrix4x3fc mat)
Create a newMatrix4d
and set its upper 4x3 submatrix to the given matrixmat
and all other elements to identity.Matrix4d(Vector4d col0, Vector4d col1, Vector4d col2, Vector4d col3)
Create a newMatrix4d
and initialize its four columns using the supplied vectors.

Method Summary
All Methods Static Methods Instance Methods Concrete Methods Modifier and Type Method Description Matrix4d
add(Matrix4dc other)
Componentwise addthis
andother
.Matrix4d
add(Matrix4dc other, Matrix4d dest)
Componentwise addthis
andother
and store the result indest
.Matrix4d
add4x3(Matrix4dc other)
Componentwise add the upper 4x3 submatrices ofthis
andother
.Matrix4d
add4x3(Matrix4dc other, Matrix4d dest)
Componentwise add the upper 4x3 submatrices ofthis
andother
and store the result indest
.Matrix4d
add4x3(Matrix4fc other)
Componentwise add the upper 4x3 submatrices ofthis
andother
.Matrix4d
add4x3(Matrix4fc other, Matrix4d dest)
Componentwise add the upper 4x3 submatrices ofthis
andother
and store the result indest
.Matrix4d
affineSpan(Vector3d corner, Vector3d xDir, Vector3d yDir, Vector3d zDir)
Compute the extents of the coordinate system before thisaffine
transformation was applied and store the resulting corner coordinates incorner
and the span vectors inxDir
,yDir
andzDir
.Matrix4d
arcball(double radius, double centerX, double centerY, double centerZ, double angleX, double angleY)
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.Matrix4d
arcball(double radius, double centerX, double centerY, double centerZ, double angleX, double angleY, Matrix4d 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
.Matrix4d
arcball(double radius, Vector3dc center, double angleX, double angleY)
Apply an arcball view transformation to this matrix with the givenradius
andcenter
position of the arcball and the specified X and Y rotation angles.Matrix4d
arcball(double radius, Vector3dc center, double angleX, double angleY, Matrix4d 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
.Matrix4d
assume(int properties)
Assume the given properties about this matrix.Matrix4d
billboardCylindrical(Vector3dc objPos, Vector3dc targetPos, Vector3dc up)
Set this matrix to a cylindrical billboard transformation that rotates the local +Z axis of a given object with positionobjPos
towards a target position attargetPos
while constraining a cylindrical rotation around the givenup
vector.Matrix4d
billboardSpherical(Vector3dc objPos, Vector3dc targetPos)
Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with positionobjPos
towards a target position attargetPos
using a shortest arc rotation by not preserving any up vector of the object.Matrix4d
billboardSpherical(Vector3dc objPos, Vector3dc targetPos, Vector3dc up)
Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with positionobjPos
towards a target position attargetPos
.java.lang.Object
clone()
Matrix4d
cofactor3x3()
Compute the cofactor matrix of the upper left 3x3 submatrix ofthis
.Matrix3d
cofactor3x3(Matrix3d dest)
Compute the cofactor matrix of the upper left 3x3 submatrix ofthis
and store it intodest
.Matrix4d
cofactor3x3(Matrix4d dest)
Compute the cofactor matrix of the upper left 3x3 submatrix ofthis
and store it intodest
.double
determinant()
Return the determinant of this matrix.double
determinant3x3()
Return the determinant of the upper left 3x3 submatrix of this matrix.double
determinantAffine()
Return the determinant of this matrix by assuming that it represents anaffine
transformation and thus its last row is equal to(0, 0, 0, 1)
.Matrix4d
determineProperties()
Compute and set the matrix properties returned byproperties()
based on the current matrix element values.boolean
equals(java.lang.Object obj)
boolean
equals(Matrix4dc 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
.Matrix4d
fma4x3(Matrix4dc other, double otherFactor)
Componentwise add the upper 4x3 submatrices ofthis
andother
by first multiplying each component ofother
's 4x3 submatrix byotherFactor
and adding that result tothis
.Matrix4d
fma4x3(Matrix4dc other, double otherFactor, Matrix4d dest)
Componentwise add the upper 4x3 submatrices ofthis
andother
by first multiplying each component ofother
's 4x3 submatrix byotherFactor
, adding that tothis
and storing the final result indest
.Matrix4d
frustum(double left, double right, double bottom, double top, double zNear, double zFar)
Apply an arbitrary perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix.Matrix4d
frustum(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)
Apply an arbitrary perspective projection frustum transformation for a righthanded coordinate system using the given NDC z range to this matrix.Matrix4d
frustum(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)
Apply an arbitrary perspective projection frustum transformation for a righthanded coordinate system using the given NDC z range to this matrix and store the result indest
.Matrix4d
frustum(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4d dest)
Apply an arbitrary perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.Matrix4d
frustumAabb(Vector3d min, Vector3d max)
Compute the axisaligned bounding box of the frustum described bythis
matrix and store the minimum corner coordinates in the givenmin
and the maximum corner coordinates in the givenmax
vector.Vector3d
frustumCorner(int corner, Vector3d dest)
Compute the corner coordinates of the frustum defined bythis
matrix, which can be a projection matrix or a combined modelviewprojection matrix, and store the result in the givenpoint
.Matrix4d
frustumLH(double left, double right, double bottom, double top, double zNear, double zFar)
Apply an arbitrary perspective projection frustum transformation for a lefthanded coordinate system using the given NDC z range to this matrix.Matrix4d
frustumLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)
Apply an arbitrary perspective projection frustum transformation for a lefthanded coordinate system using the given NDC z range to this matrix.Matrix4d
frustumLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)
Apply an arbitrary perspective projection frustum transformation for a lefthanded coordinate system using the given NDC z range to this matrix and store the result indest
.Matrix4d
frustumLH(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4d dest)
Apply an arbitrary perspective projection frustum transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.Vector4d
frustumPlane(int plane, 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
.Vector3d
frustumRayDir(double x, double y, Vector3d dest)
Obtain the direction of a ray starting at the center of the coordinate system and going through the near frustum plane.double[]
get(double[] dest)
Store this matrix into the supplied double array in columnmajor order.double[]
get(double[] dest, int offset)
Store this matrix into the supplied double array in columnmajor order at the given offset.float[]
get(float[] dest)
Store the elements of this matrix as float values in columnmajor order into the supplied float array.float[]
get(float[] dest, int offset)
Store the elements of this matrix as float values in columnmajor order into the supplied float array at the given offset.double
get(int column, int row)
Get the matrix element value at the given column and row.java.nio.ByteBuffer
get(int index, java.nio.ByteBuffer dest)
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 dest)
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 dest)
Store this matrix in columnmajor order into the suppliedFloatBuffer
starting at the specified absolute buffer position/index.java.nio.ByteBuffer
get(java.nio.ByteBuffer dest)
Store this matrix in columnmajor order into the suppliedByteBuffer
at the current bufferposition
.java.nio.DoubleBuffer
get(java.nio.DoubleBuffer dest)
Store this matrix in columnmajor order into the suppliedDoubleBuffer
at the current bufferposition
.java.nio.FloatBuffer
get(java.nio.FloatBuffer dest)
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 intodest
.Matrix3d
get3x3(Matrix3d dest)
Get the current values of the upper left 3x3 submatrix ofthis
matrix and store them intodest
.Matrix4x3d
get4x3(Matrix4x3d dest)
Get the current values of the upper 4x3 submatrix ofthis
matrix and store them intodest
.java.nio.ByteBuffer
get4x3Transposed(int index, java.nio.ByteBuffer dest)
Store the upper 4x3 submatrix ofthis
matrix in rowmajor order into the suppliedByteBuffer
starting at the specified absolute buffer position/index.java.nio.DoubleBuffer
get4x3Transposed(int index, java.nio.DoubleBuffer dest)
Store the upper 4x3 submatrix ofthis
matrix in rowmajor order into the suppliedDoubleBuffer
starting at the specified absolute buffer position/index.java.nio.ByteBuffer
get4x3Transposed(java.nio.ByteBuffer dest)
Store the upper 4x3 submatrix ofthis
matrix in rowmajor order into the suppliedByteBuffer
at the current bufferposition
.java.nio.DoubleBuffer
get4x3Transposed(java.nio.DoubleBuffer dest)
Store the upper 4x3 submatrix ofthis
matrix in rowmajor order into the suppliedDoubleBuffer
at the current bufferposition
.Vector3d
getColumn(int column, Vector3d dest)
Get the first three components of the column at the givencolumn
index, starting with0
.Vector4d
getColumn(int column, Vector4d dest)
Get the column at the givencolumn
index, starting with0
.Vector3d
getEulerAnglesXYZ(Vector3d dest)
Extract the Euler angles from the rotation represented by the upper 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 upper left 3x3 submatrix ofthis
and store the extracted Euler angles indest
.java.nio.ByteBuffer
getFloats(int index, java.nio.ByteBuffer dest)
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 dest)
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
.Vector3d
getRow(int row, Vector3d dest)
Get the first three components of the row at the givenrow
index, starting with0
.Vector4d
getRow(int row, Vector4d dest)
Get the row at the givenrow
index, starting with0
.double
getRowColumn(int row, int column)
Get the matrix element value at the given row and column.Vector3d
getScale(Vector3d dest)
Get the scaling factors ofthis
matrix for the three base axes.Matrix4dc
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
.java.nio.ByteBuffer
getTransposed(int index, java.nio.ByteBuffer dest)
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 dest)
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 dest)
Store this matrix in rowmajor order into the suppliedFloatBuffer
starting at the specified absolute buffer position/index.java.nio.ByteBuffer
getTransposed(java.nio.ByteBuffer dest)
Store this matrix in rowmajor order into the suppliedByteBuffer
at the current bufferposition
.java.nio.DoubleBuffer
getTransposed(java.nio.DoubleBuffer dest)
Store this matrix in rowmajor order into the suppliedDoubleBuffer
at the current bufferposition
.java.nio.FloatBuffer
getTransposed(java.nio.FloatBuffer dest)
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
.int
hashCode()
Matrix4d
identity()
Reset this matrix to the identity.Matrix4d
invert()
Invert this matrix.Matrix4d
invert(Matrix4d dest)
Invertthis
matrix and store the result indest
.Matrix4d
invertAffine()
Invert this matrix by assuming that it is anaffine
transformation (i.e.Matrix4d
invertAffine(Matrix4d dest)
Invert this matrix by assuming that it is anaffine
transformation (i.e.Matrix4d
invertFrustum()
Ifthis
is an arbitrary perspective projection matrix obtained via one of thefrustum()
methods or viasetFrustum()
, then this method builds the inverse ofthis
.Matrix4d
invertFrustum(Matrix4d dest)
Ifthis
is an arbitrary perspective projection matrix obtained via one of thefrustum()
methods, then this method builds the inverse ofthis
and stores it into the givendest
.Matrix4d
invertOrtho()
Invertthis
orthographic projection matrix.Matrix4d
invertOrtho(Matrix4d dest)
Invertthis
orthographic projection matrix and store the result into the givendest
.Matrix4d
invertPerspective()
Ifthis
is a perspective projection matrix obtained via one of theperspective()
methods or viasetPerspective()
, that is, ifthis
is a symmetrical perspective frustum transformation, then this method builds the inverse ofthis
.Matrix4d
invertPerspective(Matrix4d dest)
Ifthis
is a perspective projection matrix obtained via one of theperspective()
methods, that is, ifthis
is a symmetrical perspective frustum transformation, then this method builds the inverse ofthis
and stores it into the givendest
.Matrix4d
invertPerspectiveView(Matrix4dc view, Matrix4d dest)
Ifthis
is a perspective projection matrix obtained via one of theperspective()
methods, that is, ifthis
is a symmetrical perspective frustum transformation and the givenview
matrix isaffine
and has unit scaling (for example by being obtained vialookAt()
), then this method builds the inverse ofthis * view
and stores it into the givendest
.Matrix4d
invertPerspectiveView(Matrix4x3dc view, Matrix4d dest)
Ifthis
is a perspective projection matrix obtained via one of theperspective()
methods, that is, ifthis
is a symmetrical perspective frustum transformation and the givenview
matrix has unit scaling, then this method builds the inverse ofthis * view
and stores it into the givendest
.boolean
isAffine()
Determine whether this matrix describes an affine transformation.boolean
isFinite()
Determine whether all matrix elements are finite floatingpoint values, that is, they are notNaN
and notinfinity
.Matrix4d
lerp(Matrix4dc other, double t)
Linearly interpolatethis
andother
using the given interpolation factort
and store the result inthis
.Matrix4d
lerp(Matrix4dc other, double t, Matrix4d dest)
Linearly interpolatethis
andother
using the given interpolation factort
and store the result indest
.Matrix4d
lookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ)
Apply a rotation transformation to this matrix to makez
point alongdir
.Matrix4d
lookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ, Matrix4d dest)
Apply a rotation transformation to this matrix to makez
point alongdir
and store the result indest
.Matrix4d
lookAlong(Vector3dc dir, Vector3dc up)
Apply a rotation transformation to this matrix to makez
point alongdir
.Matrix4d
lookAlong(Vector3dc dir, Vector3dc up, Matrix4d dest)
Apply a rotation transformation to this matrix to makez
point alongdir
and store the result indest
.Matrix4d
lookAt(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ)
Apply a "lookat" transformation to this matrix for a righthanded coordinate system, that alignsz
withcenter  eye
.Matrix4d
lookAt(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ, Matrix4d dest)
Apply a "lookat" transformation to this matrix for a righthanded coordinate system, that alignsz
withcenter  eye
and store the result indest
.Matrix4d
lookAt(Vector3dc eye, Vector3dc center, Vector3dc up)
Apply a "lookat" transformation to this matrix for a righthanded coordinate system, that alignsz
withcenter  eye
.Matrix4d
lookAt(Vector3dc eye, Vector3dc center, Vector3dc up, Matrix4d dest)
Apply a "lookat" transformation to this matrix for a righthanded coordinate system, that alignsz
withcenter  eye
and store the result indest
.Matrix4d
lookAtLH(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ)
Apply a "lookat" transformation to this matrix for a lefthanded coordinate system, that aligns+z
withcenter  eye
.Matrix4d
lookAtLH(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ, Matrix4d dest)
Apply a "lookat" transformation to this matrix for a lefthanded coordinate system, that aligns+z
withcenter  eye
and store the result indest
.Matrix4d
lookAtLH(Vector3dc eye, Vector3dc center, Vector3dc up)
Apply a "lookat" transformation to this matrix for a lefthanded coordinate system, that aligns+z
withcenter  eye
.Matrix4d
lookAtLH(Vector3dc eye, Vector3dc center, Vector3dc up, Matrix4d dest)
Apply a "lookat" transformation to this matrix for a lefthanded coordinate system, that aligns+z
withcenter  eye
and store the result indest
.Matrix4d
lookAtPerspective(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ, Matrix4d dest)
Apply a "lookat" transformation to this matrix for a righthanded coordinate system, that alignsz
withcenter  eye
and store the result indest
.Matrix4d
lookAtPerspectiveLH(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ, Matrix4d 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.Matrix4d
m00(double m00)
Set the value of the matrix element at column 0 and row 0.double
m01()
Return the value of the matrix element at column 0 and row 1.Matrix4d
m01(double m01)
Set the value of the matrix element at column 0 and row 1.double
m02()
Return the value of the matrix element at column 0 and row 2.Matrix4d
m02(double m02)
Set the value of the matrix element at column 0 and row 2.double
m03()
Return the value of the matrix element at column 0 and row 3.Matrix4d
m03(double m03)
Set the value of the matrix element at column 0 and row 3.double
m10()
Return the value of the matrix element at column 1 and row 0.Matrix4d
m10(double m10)
Set the value of the matrix element at column 1 and row 0.double
m11()
Return the value of the matrix element at column 1 and row 1.Matrix4d
m11(double m11)
Set the value of the matrix element at column 1 and row 1.double
m12()
Return the value of the matrix element at column 1 and row 2.Matrix4d
m12(double m12)
Set the value of the matrix element at column 1 and row 2.double
m13()
Return the value of the matrix element at column 1 and row 3.Matrix4d
m13(double m13)
Set the value of the matrix element at column 1 and row 3.double
m20()
Return the value of the matrix element at column 2 and row 0.Matrix4d
m20(double m20)
Set the value of the matrix element at column 2 and row 0.double
m21()
Return the value of the matrix element at column 2 and row 1.Matrix4d
m21(double m21)
Set the value of the matrix element at column 2 and row 1.double
m22()
Return the value of the matrix element at column 2 and row 2.Matrix4d
m22(double m22)
Set the value of the matrix element at column 2 and row 2.double
m23()
Return the value of the matrix element at column 2 and row 3.Matrix4d
m23(double m23)
Set the value of the matrix element at column 2 and row 3.double
m30()
Return the value of the matrix element at column 3 and row 0.Matrix4d
m30(double m30)
Set the value of the matrix element at column 3 and row 0.double
m31()
Return the value of the matrix element at column 3 and row 1.Matrix4d
m31(double m31)
Set the value of the matrix element at column 3 and row 1.double
m32()
Return the value of the matrix element at column 3 and row 2.Matrix4d
m32(double m32)
Set the value of the matrix element at column 3 and row 2.double
m33()
Return the value of the matrix element at column 3 and row 3.Matrix4d
m33(double m33)
Set the value of the matrix element at column 3 and row 3.Matrix4d
mapnXnYnZ()
Multiplythis
by the matrixMatrix4d
mapnXnYnZ(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnXnYZ()
Multiplythis
by the matrixMatrix4d
mapnXnYZ(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnXnZnY()
Multiplythis
by the matrixMatrix4d
mapnXnZnY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnXnZY()
Multiplythis
by the matrixMatrix4d
mapnXnZY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnXYnZ()
Multiplythis
by the matrixMatrix4d
mapnXYnZ(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnXZnY()
Multiplythis
by the matrixMatrix4d
mapnXZnY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnXZY()
Multiplythis
by the matrixMatrix4d
mapnXZY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnYnXnZ()
Multiplythis
by the matrixMatrix4d
mapnYnXnZ(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnYnXZ()
Multiplythis
by the matrixMatrix4d
mapnYnXZ(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnYnZnX()
Multiplythis
by the matrixMatrix4d
mapnYnZnX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnYnZX()
Multiplythis
by the matrixMatrix4d
mapnYnZX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnYXnZ()
Multiplythis
by the matrixMatrix4d
mapnYXnZ(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnYXZ()
Multiplythis
by the matrixMatrix4d
mapnYXZ(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnYZnX()
Multiplythis
by the matrixMatrix4d
mapnYZnX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnYZX()
Multiplythis
by the matrixMatrix4d
mapnYZX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnZnXnY()
Multiplythis
by the matrixMatrix4d
mapnZnXnY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnZnXY()
Multiplythis
by the matrixMatrix4d
mapnZnXY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnZnYnX()
Multiplythis
by the matrixMatrix4d
mapnZnYnX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnZnYX()
Multiplythis
by the matrixMatrix4d
mapnZnYX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnZXnY()
Multiplythis
by the matrixMatrix4d
mapnZXnY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnZXY()
Multiplythis
by the matrixMatrix4d
mapnZXY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnZYnX()
Multiplythis
by the matrixMatrix4d
mapnZYnX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapnZYX()
Multiplythis
by the matrixMatrix4d
mapnZYX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapXnYnZ()
Multiplythis
by the matrixMatrix4d
mapXnYnZ(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapXnZnY()
Multiplythis
by the matrixMatrix4d
mapXnZnY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapXnZY()
Multiplythis
by the matrixMatrix4d
mapXnZY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapXZnY()
Multiplythis
by the matrixMatrix4d
mapXZnY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapXZY()
Multiplythis
by the matrixMatrix4d
mapXZY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapYnXnZ()
Multiplythis
by the matrixMatrix4d
mapYnXnZ(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapYnXZ()
Multiplythis
by the matrixMatrix4d
mapYnXZ(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapYnZnX()
Multiplythis
by the matrixMatrix4d
mapYnZnX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapYnZX()
Multiplythis
by the matrixMatrix4d
mapYnZX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapYXnZ()
Multiplythis
by the matrixMatrix4d
mapYXnZ(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapYXZ()
Multiplythis
by the matrixMatrix4d
mapYXZ(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapYZnX()
Multiplythis
by the matrixMatrix4d
mapYZnX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapYZX()
Multiplythis
by the matrixMatrix4d
mapYZX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapZnXnY()
Multiplythis
by the matrixMatrix4d
mapZnXnY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapZnXY()
Multiplythis
by the matrixMatrix4d
mapZnXY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapZnYnX()
Multiplythis
by the matrixMatrix4d
mapZnYnX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapZnYX()
Multiplythis
by the matrixMatrix4d
mapZnYX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapZXnY()
Multiplythis
by the matrixMatrix4d
mapZXnY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapZXY()
Multiplythis
by the matrixMatrix4d
mapZXY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapZYnX()
Multiplythis
by the matrixMatrix4d
mapZYnX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mapZYX()
Multiplythis
by the matrixMatrix4d
mapZYX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
mul(double r00, double r01, double r02, double r03, double r10, double r11, double r12, double r13, double r20, double r21, double r22, double r23, double r30, double r31, double r32, double r33)
Multiply this matrix by the matrix with the supplied elements.Matrix4d
mul(double r00, double r01, double r02, double r03, double r10, double r11, double r12, double r13, double r20, double r21, double r22, double r23, double r30, double r31, double r32, double r33, Matrix4d dest)
Multiply this matrix by the matrix with the supplied elements and store the result indest
.Matrix4d
mul(Matrix3x2dc right)
Multiply this matrix by the suppliedright
matrix and store the result inthis
.Matrix4d
mul(Matrix3x2dc right, Matrix4d dest)
Multiply this matrix by the suppliedright
matrix and store the result indest
.Matrix4d
mul(Matrix3x2fc right)
Multiply this matrix by the suppliedright
matrix and store the result inthis
.Matrix4d
mul(Matrix3x2fc right, Matrix4d dest)
Multiply this matrix by the suppliedright
matrix and store the result indest
.Matrix4d
mul(Matrix4dc right)
Multiply this matrix by the suppliedright
matrix.Matrix4d
mul(Matrix4dc right, Matrix4d dest)
Multiply this matrix by the suppliedright
matrix and store the result indest
.Matrix4d
mul(Matrix4f right)
Multiply this matrix by the supplied parameter matrix.Matrix4d
mul(Matrix4fc right, Matrix4d dest)
Multiply this matrix by the supplied parameter matrix and store the result indest
.Matrix4d
mul(Matrix4x3dc right)
Multiply this matrix by the suppliedright
matrix.Matrix4d
mul(Matrix4x3dc right, Matrix4d dest)
Multiply this matrix by the suppliedright
matrix and store the result indest
.Matrix4d
mul(Matrix4x3fc right, Matrix4d dest)
Multiply this matrix by the suppliedright
matrix and store the result indest
.Matrix4d
mul0(Matrix4dc right)
Multiply this matrix by the suppliedright
matrix.Matrix4d
mul0(Matrix4dc right, Matrix4d dest)
Multiply this matrix by the suppliedright
matrix and store the result indest
.Matrix4d
mul3x3(double r00, double r01, double r02, double r10, double r11, double r12, double r20, double r21, double r22)
Multiply this matrix by the 3x3 matrix with the supplied elements expanded to a 4x4 matrix with all other matrix elements set to identity.Matrix4d
mul3x3(double r00, double r01, double r02, double r10, double r11, double r12, double r20, double r21, double r22, Matrix4d dest)
Multiply this matrix by the 3x3 matrix with the supplied elements expanded to a 4x4 matrix with all other matrix elements set to identity, and store the result indest
.Matrix4d
mul4x3ComponentWise(Matrix4dc other)
Componentwise multiply the upper 4x3 submatrices ofthis
byother
.Matrix4d
mul4x3ComponentWise(Matrix4dc other, Matrix4d dest)
Componentwise multiply the upper 4x3 submatrices ofthis
byother
and store the result indest
.Matrix4d
mulAffine(Matrix4dc right)
Multiply this matrix by the suppliedright
matrix, both of which are assumed to beaffine
, and store the result inthis
.Matrix4d
mulAffine(Matrix4dc right, Matrix4d dest)
Multiply this matrix by the suppliedright
matrix, both of which are assumed to beaffine
, and store the result indest
.Matrix4d
mulAffineR(Matrix4dc right)
Multiply this matrix by the suppliedright
matrix, which is assumed to beaffine
, and store the result inthis
.Matrix4d
mulAffineR(Matrix4dc right, Matrix4d dest)
Multiply this matrix by the suppliedright
matrix, which is assumed to beaffine
, and store the result indest
.Matrix4d
mulComponentWise(Matrix4dc other)
Componentwise multiplythis
byother
.Matrix4d
mulComponentWise(Matrix4dc other, Matrix4d dest)
Componentwise multiplythis
byother
and store the result indest
.Matrix4d
mulLocal(Matrix4dc left)
Premultiply this matrix by the suppliedleft
matrix and store the result inthis
.Matrix4d
mulLocal(Matrix4dc left, Matrix4d dest)
Premultiply this matrix by the suppliedleft
matrix and store the result indest
.Matrix4d
mulLocalAffine(Matrix4dc left)
Premultiply this matrix by the suppliedleft
matrix, both of which are assumed to beaffine
, and store the result inthis
.Matrix4d
mulLocalAffine(Matrix4dc left, Matrix4d dest)
Premultiply this matrix by the suppliedleft
matrix, both of which are assumed to beaffine
, and store the result indest
.Matrix4d
mulOrthoAffine(Matrix4dc view)
Matrix4d
mulOrthoAffine(Matrix4dc view, Matrix4d dest)
Multiplythis
orthographic projection matrix by the suppliedaffine
view
matrix and store the result indest
.Matrix4d
mulPerspectiveAffine(Matrix4dc view)
Matrix4d
mulPerspectiveAffine(Matrix4dc view, Matrix4d dest)
Multiplythis
symmetric perspective projection matrix by the suppliedaffine
view
matrix and store the result indest
.Matrix4d
mulPerspectiveAffine(Matrix4x3dc view, Matrix4d dest)
Multiplythis
symmetric perspective projection matrix by the suppliedview
matrix and store the result indest
.Matrix4d
mulTranslationAffine(Matrix4dc right, Matrix4d dest)
Multiply this matrix, which is assumed to only contain a translation, by the suppliedright
matrix, which is assumed to beaffine
, and store the result indest
.Matrix4d
negateX()
Multiplythis
by the matrixMatrix4d
negateX(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
negateY()
Multiplythis
by the matrixMatrix4d
negateY(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
negateZ()
Multiplythis
by the matrixMatrix4d
negateZ(Matrix4d dest)
Multiplythis
by the matrixMatrix4d
normal()
Compute a normal matrix from the upper left 3x3 submatrix ofthis
and store it into the upper left 3x3 submatrix ofthis
.Matrix3d
normal(Matrix3d dest)
Compute a normal matrix from the upper left 3x3 submatrix ofthis
and store it intodest
.Matrix4d
normal(Matrix4d dest)
Compute a normal matrix from the upper left 3x3 submatrix ofthis
and store it into the upper left 3x3 submatrix ofdest
.Matrix4d
normalize3x3()
Normalize the upper left 3x3 submatrix of this matrix.Matrix3d
normalize3x3(Matrix3d dest)
Normalize the upper left 3x3 submatrix of this matrix and store the result indest
.Matrix4d
normalize3x3(Matrix4d dest)
Normalize the upper 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.Matrix4d
obliqueZ(double a, double b)
Apply an oblique projection transformation to this matrix with the given values fora
andb
.Matrix4d
obliqueZ(double a, double b, Matrix4d dest)
Apply an oblique projection transformation to this matrix with the given values fora
andb
and store the result indest
.Vector3d
origin(Vector3d dest)
Obtain the position that gets transformed to the origin bythis
matrix.Vector3d
originAffine(Vector3d dest)
Obtain the position that gets transformed to the origin bythis
affine
matrix.Matrix4d
ortho(double left, double right, double bottom, double top, double zNear, double zFar)
Apply an orthographic projection transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix.Matrix4d
ortho(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)
Apply an orthographic projection transformation for a righthanded coordinate system using the given NDC z range to this matrix.Matrix4d
ortho(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne, Matrix4d 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
.Matrix4d
ortho(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4d 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
.Matrix4d
ortho2D(double left, double right, double bottom, double top)
Apply an orthographic projection transformation for a righthanded coordinate system to this matrix.Matrix4d
ortho2D(double left, double right, double bottom, double top, Matrix4d dest)
Apply an orthographic projection transformation for a righthanded coordinate system to this matrix and store the result indest
.Matrix4d
ortho2DLH(double left, double right, double bottom, double top)
Apply an orthographic projection transformation for a lefthanded coordinate system to this matrix.Matrix4d
ortho2DLH(double left, double right, double bottom, double top, Matrix4d dest)
Apply an orthographic projection transformation for a lefthanded coordinate system to this matrix and store the result indest
.Matrix4d
orthoCrop(Matrix4dc view, Matrix4d dest)
Build an ortographic projection transformation that fits the viewprojection transformation represented bythis
into the given affineview
transformation.Matrix4d
orthoLH(double left, double right, double bottom, double top, double zNear, double zFar)
Apply an orthographic projection transformation for a lefthanded coordiante system using OpenGL's NDC z range of[1..+1]
to this matrix.Matrix4d
orthoLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)
Apply an orthographic projection transformation for a lefthanded coordiante system using the given NDC z range to this matrix.Matrix4d
orthoLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne, Matrix4d 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
.Matrix4d
orthoLH(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4d 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
.Matrix4d
orthoSymmetric(double width, double height, double zNear, double zFar)
Apply a symmetric orthographic projection transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix.Matrix4d
orthoSymmetric(double width, double height, double zNear, double zFar, boolean zZeroToOne)
Apply a symmetric orthographic projection transformation for a righthanded coordinate system using the given NDC z range to this matrix.Matrix4d
orthoSymmetric(double width, double height, double zNear, double zFar, boolean zZeroToOne, Matrix4d 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
.Matrix4d
orthoSymmetric(double width, double height, double zNear, double zFar, Matrix4d 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
.Matrix4d
orthoSymmetricLH(double width, double height, double zNear, double zFar)
Apply a symmetric orthographic projection transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix.Matrix4d
orthoSymmetricLH(double width, double height, double zNear, double zFar, boolean zZeroToOne)
Apply a symmetric orthographic projection transformation for a lefthanded coordinate system using the given NDC z range to this matrix.Matrix4d
orthoSymmetricLH(double width, double height, double zNear, double zFar, boolean zZeroToOne, Matrix4d 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
.Matrix4d
orthoSymmetricLH(double width, double height, double zNear, double zFar, Matrix4d 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
.Matrix4d
perspective(double fovy, double aspect, double zNear, double zFar)
Apply a symmetric perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix.Matrix4d
perspective(double fovy, double aspect, double zNear, double zFar, boolean zZeroToOne)
Apply a symmetric perspective projection frustum transformation using for a righthanded coordinate system using the given NDC z range to this matrix.Matrix4d
perspective(double fovy, double aspect, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)
Apply a symmetric perspective projection frustum transformation for a righthanded coordinate system using the given NDC z range to this matrix and store the result indest
.Matrix4d
perspective(double fovy, double aspect, double zNear, double zFar, Matrix4d dest)
Apply a symmetric perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.double
perspectiveFar()
Extract the far clip plane distance fromthis
perspective projection matrix.double
perspectiveFov()
Return the vertical fieldofview angle in radians of this perspective transformation matrix.Matrix4d
perspectiveFrustumSlice(double near, double far, Matrix4d dest)
Change the near and far clip plane distances ofthis
perspective frustum transformation matrix and store the result indest
.Vector3d
perspectiveInvOrigin(Vector3d dest)
Compute the eye/origin of the inverse of the perspective frustum transformation defined bythis
matrix, which can be the inverse of a projection matrix or the inverse of a combined modelviewprojection matrix, and store the result in the givendest
.Matrix4d
perspectiveLH(double fovy, double aspect, double zNear, double zFar)
Apply a symmetric perspective projection frustum transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix.Matrix4d
perspectiveLH(double fovy, double aspect, double zNear, double zFar, boolean zZeroToOne)
Apply a symmetric perspective projection frustum transformation for a lefthanded coordinate system using the given NDC z range to this matrix.Matrix4d
perspectiveLH(double fovy, double aspect, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)
Apply a symmetric perspective projection frustum transformation for a lefthanded coordinate system using the given NDC z range to this matrix and store the result indest
.Matrix4d
perspectiveLH(double fovy, double aspect, double zNear, double zFar, Matrix4d dest)
Apply a symmetric perspective projection frustum transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.double
perspectiveNear()
Extract the near clip plane distance fromthis
perspective projection matrix.Matrix4d
perspectiveOffCenter(double fovy, double offAngleX, double offAngleY, double aspect, double zNear, double zFar)
Apply an asymmetric offcenter perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix.Matrix4d
perspectiveOffCenter(double fovy, double offAngleX, double offAngleY, double aspect, double zNear, double zFar, boolean zZeroToOne)
Apply an asymmetric offcenter perspective projection frustum transformation using for a righthanded coordinate system using the given NDC z range to this matrix.Matrix4d
perspectiveOffCenter(double fovy, double offAngleX, double offAngleY, double aspect, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)
Apply an asymmetric offcenter perspective projection frustum transformation for a righthanded coordinate system using the given NDC z range to this matrix and store the result indest
.Matrix4d
perspectiveOffCenter(double fovy, double offAngleX, double offAngleY, double aspect, double zNear, double zFar, Matrix4d dest)
Apply an asymmetric offcenter perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.Matrix4d
perspectiveOffCenterFov(double angleLeft, double angleRight, double angleDown, double angleUp, double zNear, double zFar)
Apply an asymmetric offcenter perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix.Matrix4d
perspectiveOffCenterFov(double angleLeft, double angleRight, double angleDown, double angleUp, double zNear, double zFar, boolean zZeroToOne)
Apply an asymmetric offcenter perspective projection frustum transformation for a righthanded coordinate system using the given NDC z range to this matrix.Matrix4d
perspectiveOffCenterFov(double angleLeft, double angleRight, double angleDown, double angleUp, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)
Apply an asymmetric offcenter perspective projection frustum transformation for a righthanded coordinate system using the given NDC z range to this matrix and store the result indest
.Matrix4d
perspectiveOffCenterFov(double angleLeft, double angleRight, double angleDown, double angleUp, double zNear, double zFar, Matrix4d dest)
Apply an asymmetric offcenter perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.Matrix4d
perspectiveOffCenterFovLH(double angleLeft, double angleRight, double angleDown, double angleUp, double zNear, double zFar)
Apply an asymmetric offcenter perspective projection frustum transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix.Matrix4d
perspectiveOffCenterFovLH(double angleLeft, double angleRight, double angleDown, double angleUp, double zNear, double zFar, boolean zZeroToOne)
Apply an asymmetric offcenter perspective projection frustum transformation for a lefthanded coordinate system using the given NDC z range to this matrix.Matrix4d
perspectiveOffCenterFovLH(double angleLeft, double angleRight, double angleDown, double angleUp, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)
Apply an asymmetric offcenter perspective projection frustum transformation for a lefthanded coordinate system using the given NDC z range to this matrix and store the result indest
.Matrix4d
perspectiveOffCenterFovLH(double angleLeft, double angleRight, double angleDown, double angleUp, double zNear, double zFar, Matrix4d dest)
Apply an asymmetric offcenter perspective projection frustum transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.static void
perspectiveOffCenterViewFromRectangle(Vector3d eye, Vector3d p, Vector3d x, Vector3d y, double nearFarDist, boolean zeroToOne, Matrix4d projDest, Matrix4d viewDest)
Create a view and offcenter perspective projection matrix from a giveneye
position, a given bottom left corner positionp
of the near plane rectangle and the extents of the near plane rectangle along its localx
andy
axes, and store the resulting matrices inprojDest
andviewDest
.Vector3d
perspectiveOrigin(Vector3d dest)
Compute the eye/origin of the perspective frustum transformation defined bythis
matrix, which can be a projection matrix or a combined modelviewprojection matrix, and store the result in the givenorigin
.Matrix4d
perspectiveRect(double width, double height, double zNear, double zFar)
Apply a symmetric perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix.Matrix4d
perspectiveRect(double width, double height, double zNear, double zFar, boolean zZeroToOne)
Apply a symmetric perspective projection frustum transformation using for a righthanded coordinate system using the given NDC z range to this matrix.Matrix4d
perspectiveRect(double width, double height, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)
Apply a symmetric perspective projection frustum transformation for a righthanded coordinate system using the given NDC z range to this matrix and store the result indest
.Matrix4d
perspectiveRect(double width, double height, double zNear, double zFar, Matrix4d dest)
Apply a symmetric perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix and store the result indest
.Matrix4d
pick(double x, double y, double width, double height, int[] viewport)
Apply a picking transformation to this matrix using the given window coordinates(x, y)
as the pick center and the given(width, height)
as the size of the picking region in window coordinates.Matrix4d
pick(double x, double y, double width, double height, int[] viewport, Matrix4d 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.Vector3d
project(double x, double y, double z, int[] viewport, Vector3d winCoordsDest)
Project the given(x, y, z)
position viathis
matrix using the specified viewport and store the resulting window coordinates inwinCoordsDest
.Vector4d
project(double x, double y, double z, int[] viewport, Vector4d winCoordsDest)
Project the given(x, y, z)
position viathis
matrix using the specified viewport and store the resulting window coordinates inwinCoordsDest
.Vector3d
project(Vector3dc position, int[] viewport, Vector3d dest)
Project the givenposition
viathis
matrix using the specified viewport and store the resulting window coordinates inwinCoordsDest
.Vector4d
project(Vector3dc position, int[] viewport, Vector4d dest)
Project the givenposition
viathis
matrix using the specified viewport and store the resulting window coordinates inwinCoordsDest
.Matrix4d
projectedGridRange(Matrix4dc projector, double sLower, double sUpper, Matrix4d dest)
Compute the range matrix for the Projected Grid transformation as described in chapter "2.4.2 Creating the range conversion matrix" of the paper Realtime water rendering  Introducing the projected grid concept based on the inverse of the viewprojection matrix which is assumed to bethis
, and store that range matrix intodest
.int
properties()
Return the assumed properties of this matrix.void
readExternal(java.io.ObjectInput in)
Matrix4d
reflect(double a, double b, double c, double d)
Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equationx*a + y*b + z*c + d = 0
.Matrix4d
reflect(double nx, double ny, double nz, double px, double py, double pz)
Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.Matrix4d
reflect(double nx, double ny, double nz, double px, double py, double pz, Matrix4d 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
.Matrix4d
reflect(double a, double b, double c, double d, Matrix4d 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
.Matrix4d
reflect(Quaterniondc orientation, Vector3dc point)
Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane.Matrix4d
reflect(Quaterniondc orientation, Vector3dc point, Matrix4d 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
.Matrix4d
reflect(Vector3dc normal, Vector3dc point)
Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.Matrix4d
reflect(Vector3dc normal, Vector3dc point, Matrix4d 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
.Matrix4d
reflection(double a, double b, double c, double d)
Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the equationx*a + y*b + z*c + d = 0
.Matrix4d
reflection(double nx, double ny, double nz, double px, double py, double pz)
Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.Matrix4d
reflection(Quaterniondc orientation, Vector3dc point)
Set this matrix to a mirror/reflection transformation that reflects about a plane specified via the plane orientation and a point on the plane.Matrix4d
reflection(Vector3dc normal, Vector3dc point)
Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.Matrix4d
rotate(double ang, double x, double y, double z)
Apply rotation to this matrix by rotating the given amount of radians about the given axis specified as x, y and z components.Matrix4d
rotate(double ang, double x, double y, double z, Matrix4d 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
.Matrix4d
rotate(double angle, Vector3dc axis)
Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.Matrix4d
rotate(double angle, Vector3dc axis, Matrix4d dest)
Apply a rotation transformation, rotating the given radians about the specified axis and store the result indest
.Matrix4d
rotate(double angle, Vector3fc axis)
Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.Matrix4d
rotate(double angle, Vector3fc axis, Matrix4d dest)
Apply a rotation transformation, rotating the given radians about the specified axis and store the result indest
.Matrix4d
rotate(AxisAngle4d axisAngle)
Apply a rotation transformation, rotating about the givenAxisAngle4d
, to this matrix.Matrix4d
rotate(AxisAngle4d axisAngle, Matrix4d dest)
Apply a rotation transformation, rotating about the givenAxisAngle4d
and store the result indest
.Matrix4d
rotate(AxisAngle4f axisAngle)
Apply a rotation transformation, rotating about the givenAxisAngle4f
, to this matrix.Matrix4d
rotate(AxisAngle4f axisAngle, Matrix4d dest)
Apply a rotation transformation, rotating about the givenAxisAngle4f
and store the result indest
.Matrix4d
rotate(Quaterniondc quat)
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix.Matrix4d
rotate(Quaterniondc quat, Matrix4d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix and store the result indest
.Matrix4d
rotate(Quaternionfc quat)
Apply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix.Matrix4d
rotate(Quaternionfc quat, Matrix4d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix and store the result indest
.Matrix4d
rotateAffine(double ang, double x, double y, double z)
Apply rotation to thisaffine
matrix by rotating the given amount of radians about the specified(x, y, z)
axis.Matrix4d
rotateAffine(double ang, double x, double y, double z, Matrix4d dest)
Apply rotation to thisaffine
matrix by rotating the given amount of radians about the specified(x, y, z)
axis and store the result indest
.Matrix4d
rotateAffine(Quaterniondc quat)
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix.Matrix4d
rotateAffine(Quaterniondc quat, Matrix4d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to thisaffine
matrix and store the result indest
.Matrix4d
rotateAffine(Quaternionfc quat)
Apply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix.Matrix4d
rotateAffine(Quaternionfc quat, Matrix4d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to thisaffine
matrix and store the result indest
.Matrix4d
rotateAffineXYZ(double angleX, double angleY, double angleZ)
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.Matrix4d
rotateAffineXYZ(double angleX, double angleY, double angleZ, Matrix4d 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
.Matrix4d
rotateAffineYXZ(double angleY, double angleX, double angleZ)
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.Matrix4d
rotateAffineYXZ(double angleY, double angleX, double angleZ, Matrix4d 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
.Matrix4d
rotateAffineZYX(double angleZ, double angleY, double angleX)
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.Matrix4d
rotateAffineZYX(double angleZ, double angleY, double angleX, Matrix4d 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
.Matrix4d
rotateAround(Quaterniondc quat, double ox, double oy, double oz)
Apply the rotation transformation of the givenQuaterniondc
to this matrix while using(ox, oy, oz)
as the rotation origin.Matrix4d
rotateAround(Quaterniondc quat, double ox, double oy, double oz, Matrix4d 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
.Matrix4d
rotateAroundAffine(Quaterniondc quat, double ox, double oy, double oz, Matrix4d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to thisaffine
matrix while using(ox, oy, oz)
as the rotation origin, and store the result indest
.Matrix4d
rotateAroundLocal(Quaterniondc quat, double ox, double oy, double oz)
Premultiply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix while using(ox, oy, oz)
as the rotation origin.Matrix4d
rotateAroundLocal(Quaterniondc quat, double ox, double oy, double oz, Matrix4d dest)
Premultiply 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
.Matrix4d
rotateLocal(double ang, double x, double y, double z)
Premultiply a rotation to this matrix by rotating the given amount of radians about the specified(x, y, z)
axis.Matrix4d
rotateLocal(double ang, double x, double y, double z, Matrix4d 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
.Matrix4d
rotateLocal(Quaterniondc quat)
Premultiply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix.Matrix4d
rotateLocal(Quaterniondc quat, Matrix4d dest)
Premultiply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix and store the result indest
.Matrix4d
rotateLocal(Quaternionfc quat)
Premultiply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix.Matrix4d
rotateLocal(Quaternionfc quat, Matrix4d dest)
Premultiply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix and store the result indest
.Matrix4d
rotateLocalX(double ang)
Premultiply a rotation to this matrix by rotating the given amount of radians about the X axis.Matrix4d
rotateLocalX(double ang, Matrix4d dest)
Premultiply a rotation around the X axis to this matrix by rotating the given amount of radians about the X axis and store the result indest
.Matrix4d
rotateLocalY(double ang)
Premultiply a rotation to this matrix by rotating the given amount of radians about the Y axis.Matrix4d
rotateLocalY(double ang, Matrix4d dest)
Premultiply a rotation around the Y axis to this matrix by rotating the given amount of radians about the Y axis and store the result indest
.Matrix4d
rotateLocalZ(double ang)
Premultiply a rotation to this matrix by rotating the given amount of radians about the Z axis.Matrix4d
rotateLocalZ(double ang, Matrix4d dest)
Premultiply a rotation around the Z axis to this matrix by rotating the given amount of radians about the Z axis and store the result indest
.Matrix4d
rotateTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ)
Apply a model transformation to this matrix for a righthanded coordinate system, that aligns the local+Z
axis with(dirX, dirY, dirZ)
.Matrix4d
rotateTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ, Matrix4d dest)
Apply a model transformation to this matrix for a righthanded coordinate system, that aligns the local+Z
axis withdir
and store the result indest
.Matrix4d
rotateTowards(Vector3dc direction, Vector3dc up)
Apply a model transformation to this matrix for a righthanded coordinate system, that aligns the local+Z
axis withdirection
.Matrix4d
rotateTowards(Vector3dc direction, Vector3dc up, Matrix4d dest)
Apply a model transformation to this matrix for a righthanded coordinate system, that aligns the local+Z
axis withdirection
and store the result indest
.Matrix4d
rotateTowardsXY(double dirX, double dirY)
Apply rotation about the Z axis to align the local+X
towards(dirX, dirY)
.Matrix4d
rotateTowardsXY(double dirX, double dirY, Matrix4d dest)
Apply rotation about the Z axis to align the local+X
towards(dirX, dirY)
and store the result indest
.Matrix4d
rotateTranslation(double ang, double x, double y, double z, Matrix4d 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
.Matrix4d
rotateTranslation(Quaterniondc quat, Matrix4d 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
.Matrix4d
rotateTranslation(Quaternionfc quat, Matrix4d 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
.Matrix4d
rotateX(double ang)
Apply rotation about the X axis to this matrix by rotating the given amount of radians.Matrix4d
rotateX(double ang, Matrix4d dest)
Apply rotation about the X axis to this matrix by rotating the given amount of radians and store the result indest
.Matrix4d
rotateXYZ(double angleX, double angleY, double angleZ)
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.Matrix4d
rotateXYZ(double angleX, double angleY, double angleZ, Matrix4d 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
.Matrix4d
rotateXYZ(Vector3d angles)
Apply rotation ofangles.x
radians about the X axis, followed by a rotation ofangles.y
radians about the Y axis and followed by a rotation ofangles.z
radians about the Z axis.Matrix4d
rotateY(double ang)
Apply rotation about the Y axis to this matrix by rotating the given amount of radians.Matrix4d
rotateY(double ang, Matrix4d dest)
Apply rotation about the Y axis to this matrix by rotating the given amount of radians and store the result indest
.Matrix4d
rotateYXZ(double angleY, double angleX, double angleZ)
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.Matrix4d
rotateYXZ(double angleY, double angleX, double angleZ, Matrix4d 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
.Matrix4d
rotateYXZ(Vector3d angles)
Apply rotation ofangles.y
radians about the Y axis, followed by a rotation ofangles.x
radians about the X axis and followed by a rotation ofangles.z
radians about the Z axis.Matrix4d
rotateZ(double ang)
Apply rotation about the Z axis to this matrix by rotating the given amount of radians.Matrix4d
rotateZ(double ang, Matrix4d dest)
Apply rotation about the Z axis to this matrix by rotating the given amount of radians and store the result indest
.Matrix4d
rotateZYX(double angleZ, double angleY, double angleX)
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.Matrix4d
rotateZYX(double angleZ, double angleY, double angleX, Matrix4d 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
.Matrix4d
rotateZYX(Vector3d angles)
Apply rotation ofangles.z
radians about the Z axis, followed by a rotation ofangles.y
radians about the Y axis and followed by a rotation ofangles.x
radians about the X axis.Matrix4d
rotation(double angle, double x, double y, double z)
Set this matrix to a rotation matrix which rotates the given radians about a given axis.Matrix4d
rotation(double angle, Vector3dc axis)
Set this matrix to a rotation matrix which rotates the given radians about a given axis.Matrix4d
rotation(double angle, Vector3fc axis)
Set this matrix to a rotation matrix which rotates the given radians about a given axis.Matrix4d
rotation(AxisAngle4d angleAxis)
Set this matrix to a rotation transformation using the givenAxisAngle4d
.Matrix4d
rotation(AxisAngle4f angleAxis)
Set this matrix to a rotation transformation using the givenAxisAngle4f
.Matrix4d
rotation(Quaterniondc quat)
Set this matrix to the rotation  and possibly scaling  transformation of the givenQuaterniondc
.Matrix4d
rotation(Quaternionfc quat)
Set this matrix to the rotation  and possibly scaling  transformation of the givenQuaternionfc
.Matrix4d
rotationAround(Quaterniondc quat, double ox, double oy, double oz)
Set this matrix to a transformation composed of a rotation of the specifiedQuaterniondc
while using(ox, oy, oz)
as the rotation origin.Matrix4d
rotationTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ)
Set this matrix to a model transformation for a righthanded coordinate system, that aligns the localz
axis withdir
.Matrix4d
rotationTowards(Vector3dc dir, Vector3dc up)
Set this matrix to a model transformation for a righthanded coordinate system, that aligns the localz
axis withdir
.Matrix4d
rotationTowardsXY(double dirX, double dirY)
Set this matrix to a rotation transformation about the Z axis to align the local+X
towards(dirX, dirY)
.Matrix4d
rotationX(double ang)
Set this matrix to a rotation transformation about the X axis.Matrix4d
rotationXYZ(double angleX, double angleY, double angleZ)
Set this matrix to a 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.Matrix4d
rotationY(double ang)
Set this matrix to a rotation transformation about the Y axis.Matrix4d
rotationYXZ(double angleY, double angleX, double angleZ)
Set this matrix to a 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.Matrix4d
rotationZ(double ang)
Set this matrix to a rotation transformation about the Z axis.Matrix4d
rotationZYX(double angleZ, double angleY, double angleX)
Set this matrix to a 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.Matrix4d
scale(double xyz)
Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor.Matrix4d
scale(double x, double y, double z)
Apply scaling tothis
matrix by scaling the base axes by the given x, y and z factors.Matrix4d
scale(double x, double y, double z, Matrix4d dest)
Apply scaling tothis
matrix by scaling the base axes by the given x, y and z factors and store the result indest
.Matrix4d
scale(double xyz, Matrix4d dest)
Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor and store the result indest
.Matrix4d
scale(Vector3dc xyz)
Apply scaling to this matrix by scaling the base axes by the givenxyz.x
,xyz.y
andxyz.z
factors, respectively.Matrix4d
scale(Vector3dc xyz, Matrix4d 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
.Matrix4d
scaleAround(double factor, double ox, double oy, double oz)
Apply scaling to this matrix by scaling all three base axes by the givenfactor
while using(ox, oy, oz)
as the scaling origin.Matrix4d
scaleAround(double sx, double sy, double sz, double ox, double oy, double oz)
Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using(ox, oy, oz)
as the scaling origin.Matrix4d
scaleAround(double sx, double sy, double sz, double ox, double oy, double oz, Matrix4d 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
.Matrix4d
scaleAround(double factor, double ox, double oy, double oz, Matrix4d 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
.Matrix4d
scaleAroundLocal(double factor, double ox, double oy, double oz)
Premultiply scaling to this matrix by scaling all three base axes by the givenfactor
while using(ox, oy, oz)
as the scaling origin.Matrix4d
scaleAroundLocal(double sx, double sy, double sz, double ox, double oy, double oz)
Premultiply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using(ox, oy, oz)
as the scaling origin.Matrix4d
scaleAroundLocal(double sx, double sy, double sz, double ox, double oy, double oz, Matrix4d dest)
Premultiply scaling tothis
matrix by scaling the base axes by the given sx, sy and sz factors while using the given(ox, oy, oz)
as the scaling origin, and store the result indest
.Matrix4d
scaleAroundLocal(double factor, double ox, double oy, double oz, Matrix4d dest)
Premultiply 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
.Matrix4d
scaleLocal(double xyz)
Premultiply scaling to this matrix by scaling the base axes by the given xyz factor.Matrix4d
scaleLocal(double x, double y, double z)
Premultiply scaling to this matrix by scaling the base axes by the given x, y and z factors.Matrix4d
scaleLocal(double x, double y, double z, Matrix4d dest)
Premultiply scaling tothis
matrix by scaling the base axes by the given x, y and z factors and store the result indest
.Matrix4d
scaleLocal(double xyz, Matrix4d dest)
Premultiply scaling tothis
matrix by scaling all base axes by the givenxyz
factor, and store the result indest
.Matrix4d
scaleXY(double x, double y)
Apply scaling to this matrix by scaling the X axis byx
and the Y axis byy
.Matrix4d
scaleXY(double x, double y, Matrix4d dest)
Apply scaling to this matrix by by scaling the X axis byx
and the Y axis byy
and store the result indest
.Matrix4d
scaling(double factor)
Set this matrix to be a simple scale matrix, which scales all axes uniformly by the given factor.Matrix4d
scaling(double x, double y, double z)
Set this matrix to be a simple scale matrix.Matrix4d
scaling(Vector3dc xyz)
Set this matrix to be a simple scale matrix which scales the base axes byxyz.x
,xyz.y
andxyz.z
, respectively.Matrix4d
set(double[] m)
Set the values in the matrix using a double array that contains the matrix elements in columnmajor order.Matrix4d
set(double[] m, int off)
Set the values in the matrix using a double array that contains the matrix elements in columnmajor order.Matrix4d
set(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33)
Set the values within this matrix to the supplied double values.Matrix4d
set(float[] m)
Set the values in the matrix using a float array that contains the matrix elements in columnmajor order.Matrix4d
set(float[] m, int off)
Set the values in the matrix using a float array that contains the matrix elements in columnmajor order.Matrix4d
set(int column, int row, double value)
Set the matrix element at the given column and row to the specified value.Matrix4d
set(int index, java.nio.ByteBuffer buffer)
Set the values of this matrix by reading 16 double values from the givenByteBuffer
in columnmajor order, starting at the specified absolute buffer position/index.Matrix4d
set(int index, java.nio.DoubleBuffer buffer)
Set the values of this matrix by reading 16 double values from the givenDoubleBuffer
in columnmajor order, starting at the specified absolute buffer position/index.Matrix4d
set(int index, java.nio.FloatBuffer buffer)
Set the values of this matrix by reading 16 float values from the givenFloatBuffer
in columnmajor order, starting at the specified absolute buffer position/index.Matrix4d
set(java.nio.ByteBuffer buffer)
Set the values of this matrix by reading 16 double values from the givenByteBuffer
in columnmajor order, starting at its current position.Matrix4d
set(java.nio.DoubleBuffer buffer)
Set the values of this matrix by reading 16 double values from the givenDoubleBuffer
in columnmajor order, starting at its current position.Matrix4d
set(java.nio.FloatBuffer buffer)
Set the values of this matrix by reading 16 float values from the givenFloatBuffer
in columnmajor order, starting at its current position.Matrix4d
set(AxisAngle4d axisAngle)
Set this matrix to be equivalent to the rotation specified by the givenAxisAngle4d
.Matrix4d
set(AxisAngle4f axisAngle)
Set this matrix to be equivalent to the rotation specified by the givenAxisAngle4f
.Matrix4d
set(Matrix3dc mat)
Matrix4d
set(Matrix4dc m)
Store the values of the given matrixm
intothis
matrix.Matrix4d
set(Matrix4fc m)
Store the values of the given matrixm
intothis
matrix.Matrix4d
set(Matrix4x3dc m)
Store the values of the given matrixm
intothis
matrix and set the other matrix elements to identity.Matrix4d
set(Matrix4x3fc m)
Store the values of the given matrixm
intothis
matrix and set the other matrix elements to identity.Matrix4d
set(Quaterniondc q)
Set this matrix to be equivalent to the rotation  and possibly scaling  specified by the givenQuaterniondc
.Matrix4d
set(Quaternionfc q)
Set this matrix to be equivalent to the rotation  and possibly scaling  specified by the givenQuaternionfc
.Matrix4d
set(Vector4d col0, Vector4d col1, Vector4d col2, Vector4d col3)
Set the four columns of this matrix to the supplied vectors, respectively.Matrix4d
set3x3(Matrix3dc mat)
Matrix4d
set3x3(Matrix4dc mat)
Matrix4d
set4x3(Matrix4dc mat)
Matrix4d
set4x3(Matrix4x3dc mat)
Set the upper 4x3 submatrix of thisMatrix4d
to the givenMatrix4x3dc
and don't change the other elements.Matrix4d
set4x3(Matrix4x3fc mat)
Set the upper 4x3 submatrix of thisMatrix4d
to the givenMatrix4x3fc
and don't change the other elements.Matrix4d
setColumn(int column, Vector4dc src)
Set the column at the givencolumn
index, starting with0
.Matrix4d
setFloats(int index, java.nio.ByteBuffer buffer)
Set the values of this matrix by reading 16 float values from the givenByteBuffer
in columnmajor order, starting at the specified absolute buffer position/index.Matrix4d
setFloats(java.nio.ByteBuffer buffer)
Set the values of this matrix by reading 16 float values from the givenByteBuffer
in columnmajor order, starting at its current position.Matrix4d
setFromAddress(long address)
Set the values of this matrix by reading 16 double values from offheap memory in columnmajor order, starting at the given address.Matrix4d
setFromIntrinsic(double alphaX, double alphaY, double gamma, double u0, double v0, int imgWidth, int imgHeight, double near, double far)
Set this matrix to represent a perspective projection equivalent to the given intrinsic camera calibration parameters.Matrix4d
setFrustum(double left, double right, double bottom, double top, double zNear, double zFar)
Set this matrix to be an arbitrary perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
.Matrix4d
setFrustum(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be an arbitrary perspective projection frustum transformation for a righthanded coordinate system using the given NDC z range.Matrix4d
setFrustumLH(double left, double right, double bottom, double top, double zNear, double zFar)
Set this matrix to be an arbitrary perspective projection frustum transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
.Matrix4d
setFrustumLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be an arbitrary perspective projection frustum transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
.Matrix4d
setLookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ)
Set this matrix to a rotation transformation to makez
point alongdir
.Matrix4d
setLookAlong(Vector3dc dir, Vector3dc up)
Set this matrix to a rotation transformation to makez
point alongdir
.Matrix4d
setLookAt(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ)
Set this matrix to be a "lookat" transformation for a righthanded coordinate system, that alignsz
withcenter  eye
.Matrix4d
setLookAt(Vector3dc eye, Vector3dc center, Vector3dc up)
Set this matrix to be a "lookat" transformation for a righthanded coordinate system, that alignsz
withcenter  eye
.Matrix4d
setLookAtLH(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ)
Set this matrix to be a "lookat" transformation for a lefthanded coordinate system, that aligns+z
withcenter  eye
.Matrix4d
setLookAtLH(Vector3dc eye, Vector3dc center, Vector3dc up)
Set this matrix to be a "lookat" transformation for a lefthanded coordinate system, that aligns+z
withcenter  eye
.Matrix4d
setOrtho(double left, double right, double bottom, double top, double zNear, double zFar)
Set this matrix to be an orthographic projection transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
.Matrix4d
setOrtho(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be an orthographic projection transformation for a righthanded coordinate system using the given NDC z range.Matrix4d
setOrtho2D(double left, double right, double bottom, double top)
Set this matrix to be an orthographic projection transformation for a righthanded coordinate system.Matrix4d
setOrtho2DLH(double left, double right, double bottom, double top)
Set this matrix to be an orthographic projection transformation for a lefthanded coordinate system.Matrix4d
setOrthoLH(double left, double right, double bottom, double top, double zNear, double zFar)
Set this matrix to be an orthographic projection transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
.Matrix4d
setOrthoLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be an orthographic projection transformation for a lefthanded coordinate system using the given NDC z range.Matrix4d
setOrthoSymmetric(double width, double height, double zNear, double zFar)
Set this matrix to be a symmetric orthographic projection transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
.Matrix4d
setOrthoSymmetric(double width, double height, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be a symmetric orthographic projection transformation for a righthanded coordinate system using the given NDC z range.Matrix4d
setOrthoSymmetricLH(double width, double height, double zNear, double zFar)
Set this matrix to be a symmetric orthographic projection transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
.Matrix4d
setOrthoSymmetricLH(double width, double height, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be a symmetric orthographic projection transformation for a lefthanded coordinate system using the given NDC z range.Matrix4d
setPerspective(double fovy, double aspect, double zNear, double zFar)
Set this matrix to be a symmetric perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
.Matrix4d
setPerspective(double fovy, double aspect, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be a symmetric perspective projection frustum transformation for a righthanded coordinate system using the given NDC z range.Matrix4d
setPerspectiveLH(double fovy, double aspect, double zNear, double zFar)
Set this matrix to be a symmetric perspective projection frustum transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
.Matrix4d
setPerspectiveLH(double fovy, double aspect, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be a symmetric perspective projection frustum transformation for a lefthanded coordinate system using the given NDC z range of[1..+1]
.Matrix4d
setPerspectiveOffCenter(double fovy, double offAngleX, double offAngleY, double aspect, double zNear, double zFar)
Set this matrix to be an asymmetric offcenter perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
.Matrix4d
setPerspectiveOffCenter(double fovy, double offAngleX, double offAngleY, double aspect, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be an asymmetric offcenter perspective projection frustum transformation for a righthanded coordinate system using the given NDC z range.Matrix4d
setPerspectiveOffCenterFov(double angleLeft, double angleRight, double angleDown, double angleUp, double zNear, double zFar)
Set this matrix to be an asymmetric offcenter perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
.Matrix4d
setPerspectiveOffCenterFov(double angleLeft, double angleRight, double angleDown, double angleUp, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be an asymmetric offcenter perspective projection frustum transformation for a righthanded coordinate system using the given NDC z range.Matrix4d
setPerspectiveOffCenterFovLH(double angleLeft, double angleRight, double angleDown, double angleUp, double zNear, double zFar)
Set this matrix to be an asymmetric offcenter perspective projection frustum transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
.Matrix4d
setPerspectiveOffCenterFovLH(double angleLeft, double angleRight, double angleDown, double angleUp, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be an asymmetric offcenter perspective projection frustum transformation for a lefthanded coordinate system using the given NDC z range.Matrix4d
setPerspectiveRect(double width, double height, double zNear, double zFar)
Set this matrix to be a symmetric perspective projection frustum transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
.Matrix4d
setPerspectiveRect(double width, double height, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be a symmetric perspective projection frustum transformation for a righthanded coordinate system using the given NDC z range.Matrix4d
setRotationXYZ(double angleX, double angleY, double angleZ)
Set only the upper left 3x3 submatrix of this matrix to a 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.Matrix4d
setRotationYXZ(double angleY, double angleX, double angleZ)
Set only the upper left 3x3 submatrix of this matrix to a 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.Matrix4d
setRotationZYX(double angleZ, double angleY, double angleX)
Set only the upper left 3x3 submatrix of this matrix to a 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.Matrix4d
setRow(int row, Vector4dc src)
Set the row at the givenrow
index, starting with0
.Matrix4d
setRowColumn(int row, int column, double value)
Set the matrix element at the given row and column to the specified value.Matrix4d
setTranslation(double x, double y, double z)
Set only the translation components(m30, m31, m32)
of this matrix to the given values(x, y, z)
.Matrix4d
setTranslation(Vector3dc xyz)
Set only the translation components(m30, m31, m32)
of this matrix to the given values(xyz.x, xyz.y, xyz.z)
.Matrix4d
setTransposed(Matrix4dc m)
Store the values of the transpose of the given matrixm
intothis
matrix.Matrix4d
shadow(double lightX, double lightY, double lightZ, double lightW, double a, double b, double c, double d)
Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equationx*a + y*b + z*c + d = 0
as if casting a shadow from a given light position/direction(lightX, lightY, lightZ, lightW)
.Matrix4d
shadow(double lightX, double lightY, double lightZ, double lightW, double a, double b, double c, double d, Matrix4d 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
.Matrix4d
shadow(double lightX, double lightY, double lightZ, double lightW, Matrix4dc planeTransform)
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)
.Matrix4d
shadow(double lightX, double lightY, double lightZ, double lightW, Matrix4dc planeTransform, Matrix4d 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
.Matrix4d
shadow(Vector4dc light, double a, double b, double c, double d)
Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equationx*a + y*b + z*c + d = 0
as if casting a shadow from a given light position/directionlight
.Matrix4d
shadow(Vector4dc light, double a, double b, double c, double d, Matrix4d 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
.Matrix4d
shadow(Vector4dc light, Matrix4dc planeTransform, Matrix4d 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
.Matrix4d
shadow(Vector4d light, Matrix4d planeTransform)
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
.Matrix4d
sub(Matrix4dc subtrahend)
Componentwise subtractsubtrahend
fromthis
.Matrix4d
sub(Matrix4dc subtrahend, Matrix4d dest)
Componentwise subtractsubtrahend
fromthis
and store the result indest
.Matrix4d
sub4x3(Matrix4dc subtrahend)
Componentwise subtract the upper 4x3 submatrices ofsubtrahend
fromthis
.Matrix4d
sub4x3(Matrix4dc subtrahend, Matrix4d dest)
Componentwise subtract the upper 4x3 submatrices ofsubtrahend
fromthis
and store the result indest
.Matrix4d
swap(Matrix4d other)
Exchange the values ofthis
matrix with the givenother
matrix.boolean
testAab(double minX, double minY, double minZ, double maxX, double maxY, double maxZ)
Test whether the given axisaligned box is partly or completely within or outside of the frustum defined bythis
matrix.boolean
testPoint(double x, double y, double z)
Test whether the given point(x, y, z)
is within the frustum defined bythis
matrix.boolean
testSphere(double x, double y, double z, double r)
Test whether the given sphere is partly or completely within or outside of the frustum defined bythis
matrix.Matrix4d
tile(int x, int y, int w, int h)
This method is equivalent to calling:translate(w12*x, h12*y, 0).scale(w, h, 1)
Matrix4d
tile(int x, int y, int w, int h, Matrix4d dest)
This method is equivalent to calling:translate(w12*x, h12*y, 0, dest).scale(w, h, 1)
java.lang.String
toString()
Return a string representation of this matrix.java.lang.String
toString(java.text.NumberFormat formatter)
Return a string representation of this matrix by formatting the matrix elements with the givenNumberFormat
.Vector4d
transform(double x, double y, double z, double w, Vector4d dest)
Transform/multiply the vector(x, y, z, w)
by this matrix 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
.Matrix4d
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
affine
matrix and compute the axisaligned box of the result whose minimum corner is stored inoutMin
and maximum corner stored inoutMax
.Matrix4d
transformAab(Vector3dc min, Vector3dc max, Vector3d outMin, Vector3d outMax)
Transform the axisaligned box given as the minimum cornermin
and maximum cornermax
bythis
affine
matrix and compute the axisaligned box of the result whose minimum corner is stored inoutMin
and maximum corner stored inoutMax
.Vector4d
transformAffine(double x, double y, double z, double w, Vector4d dest)
Transform/multiply the 4Dvector(x, y, z, w)
by assuming thatthis
matrix represents anaffine
transformation (i.e.Vector4d
transformAffine(Vector4d dest)
Transform/multiply the given 4Dvector by assuming thatthis
matrix represents anaffine
transformation (i.e.Vector4d
transformAffine(Vector4dc v, Vector4d dest)
Transform/multiply the given 4Dvector by assuming thatthis
matrix represents anaffine
transformation (i.e.Vector3d
transformDirection(double x, double y, double z, Vector3d dest)
Transform/multiply the 3Dvector(x, y, z)
, as if it was a 4Dvector with w=0, by this matrix and store the result indest
.Vector3f
transformDirection(double x, double y, double z, Vector3f dest)
Transform/multiply the 3Dvector(x, y, z)
, as if it was a 4Dvector with w=0, by this matrix and store the result indest
.Vector3d
transformDirection(Vector3d dest)
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
.Vector3f
transformDirection(Vector3f dest)
Transform/multiply the given 3Dvector, as if it was a 4Dvector with w=0, by this matrix and store the result in that vector.Vector3f
transformDirection(Vector3fc v, Vector3f 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(double x, double y, double z, Vector3d dest)
Transform/multiply the 3Dvector(x, y, z)
, as if it was a 4Dvector with w=1, by this matrix and store the result indest
.Vector3d
transformPosition(Vector3d dest)
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
.Vector3d
transformProject(double x, double y, double z, double w, Vector3d dest)
Transform/multiply the vector(x, y, z, w)
by this matrix, perform perspective divide and store(x, y, z)
of the result indest
.Vector4d
transformProject(double x, double y, double z, double w, Vector4d dest)
Transform/multiply the vector(x, y, z, w)
by this matrix, perform perspective divide and store the result indest
.Vector3d
transformProject(double x, double y, double z, Vector3d dest)
Transform/multiply the vector(x, y, z)
by this matrix, perform perspective divide and store the result indest
.Vector3d
transformProject(Vector3d v)
Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.Vector3d
transformProject(Vector3dc v, Vector3d dest)
Transform/multiply the given vector by this matrix, perform perspective divide and store the result indest
.Vector4d
transformProject(Vector4d v)
Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.Vector3d
transformProject(Vector4dc v, Vector3d dest)
Transform/multiply the given vector by this matrix, perform perspective divide and store thex
,y
andz
components of the result indest
.Vector4d
transformProject(Vector4dc v, Vector4d dest)
Transform/multiply the given vector by this matrix, perform perspective divide and store the result indest
.Vector4d
transformTranspose(double x, double y, double z, double w, Vector4d dest)
Transform/multiply the vector(x, y, z, w)
by the transpose of this matrix and store the result indest
.Vector4d
transformTranspose(Vector4d v)
Transform/multiply the given vector by the transpose of this matrix and store the result in that vector.Vector4d
transformTranspose(Vector4dc v, Vector4d dest)
Transform/multiply the given vector by the transpose of this matrix and store the result indest
.Matrix4d
translate(double x, double y, double z)
Apply a translation to this matrix by translating by the given number of units in x, y and z.Matrix4d
translate(double x, double y, double z, Matrix4d 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
.Matrix4d
translate(Vector3dc offset)
Apply a translation to this matrix by translating by the given number of units in x, y and z.Matrix4d
translate(Vector3dc offset, Matrix4d 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
.Matrix4d
translate(Vector3fc offset)
Apply a translation to this matrix by translating by the given number of units in x, y and z.Matrix4d
translate(Vector3fc offset, Matrix4d 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
.Matrix4d
translateLocal(double x, double y, double z)
Premultiply a translation to this matrix by translating by the given number of units in x, y and z.Matrix4d
translateLocal(double x, double y, double z, Matrix4d 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
.Matrix4d
translateLocal(Vector3dc offset)
Premultiply a translation to this matrix by translating by the given number of units in x, y and z.Matrix4d
translateLocal(Vector3dc offset, Matrix4d 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
.Matrix4d
translateLocal(Vector3fc offset)
Premultiply a translation to this matrix by translating by the given number of units in x, y and z.Matrix4d
translateLocal(Vector3fc offset, Matrix4d 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
.Matrix4d
translation(double x, double y, double z)
Set this matrix to be a simple translation matrix.Matrix4d
translation(Vector3dc offset)
Set this matrix to be a simple translation matrix.Matrix4d
translation(Vector3fc offset)
Set this matrix to be a simple translation matrix.Matrix4d
translationRotate(double tx, double ty, double tz, double qx, double qy, double qz, double qw)
Setthis
matrix toT * R
, whereT
is a translation by the given(tx, ty, tz)
andR
is a rotation  and possibly scaling  transformation specified by the quaternion(qx, qy, qz, qw)
.Matrix4d
translationRotate(double tx, double ty, double tz, Quaterniondc quat)
Setthis
matrix toT * R
, whereT
is a translation by the given(tx, ty, tz)
andR
is a rotation  and possibly scaling  transformation specified by the given quaternion.Matrix4d
translationRotate(Vector3dc translation, Quaterniondc quat)
Setthis
matrix toT * R
, whereT
is the giventranslation
andR
is a rotation transformation specified by the given quaternion.Matrix4d
translationRotateInvert(double tx, double ty, double tz, double qx, double qy, double qz, double qw)
Setthis
matrix to(T * R)^{1}
, whereT
is a translation by the given(tx, ty, tz)
andR
is a rotation transformation specified by the quaternion(qx, qy, qz, qw)
.Matrix4d
translationRotateInvert(Vector3fc translation, Quaternionfc quat)
Setthis
matrix to(T * R)^{1}
, whereT
is the giventranslation
andR
is a rotation transformation specified by the given quaternion.Matrix4d
translationRotateScale(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double scale)
Setthis
matrix toT * R * S
, whereT
is a translation by the given(tx, ty, tz)
,R
is a rotation transformation specified by the quaternion(qx, qy, qz, qw)
, andS
is a scaling transformation which scales all three axes byscale
.Matrix4d
translationRotateScale(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double sx, double sy, double sz)
Setthis
matrix toT * R * S
, whereT
is a translation by the given(tx, ty, tz)
,R
is a rotation transformation specified by the quaternion(qx, qy, qz, qw)
, andS
is a scaling transformation which scales the three axes x, y and z by(sx, sy, sz)
.Matrix4d
translationRotateScale(Vector3dc translation, Quaterniondc quat, double scale)
Setthis
matrix toT * R * S
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales all three axes byscale
.Matrix4d
translationRotateScale(Vector3dc translation, Quaterniondc quat, Vector3dc scale)
Setthis
matrix toT * R * S
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales the axes byscale
.Matrix4d
translationRotateScale(Vector3fc translation, Quaternionfc quat, double scale)
Setthis
matrix toT * R * S
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales all three axes byscale
.Matrix4d
translationRotateScale(Vector3fc translation, Quaternionfc quat, Vector3fc scale)
Setthis
matrix toT * R * S
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales the axes byscale
.Matrix4d
translationRotateScaleInvert(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double sx, double sy, double sz)
Setthis
matrix to(T * R * S)^{1}
, whereT
is a translation by the given(tx, ty, tz)
,R
is a rotation transformation specified by the quaternion(qx, qy, qz, qw)
, andS
is a scaling transformation which scales the three axes x, y and z by(sx, sy, sz)
.Matrix4d
translationRotateScaleInvert(Vector3dc translation, Quaterniondc quat, double scale)
Setthis
matrix to(T * R * S)^{1}
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales all three axes byscale
.Matrix4d
translationRotateScaleInvert(Vector3dc translation, Quaterniondc quat, Vector3dc scale)
Setthis
matrix to(T * R * S)^{1}
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales the axes byscale
.Matrix4d
translationRotateScaleInvert(Vector3fc translation, Quaternionfc quat, double scale)
Setthis
matrix to(T * R * S)^{1}
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales all three axes byscale
.Matrix4d
translationRotateScaleInvert(Vector3fc translation, Quaternionfc quat, Vector3fc scale)
Setthis
matrix to(T * R * S)^{1}
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales the axes byscale
.Matrix4d
translationRotateScaleMulAffine(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double sx, double sy, double sz, Matrix4d m)
Setthis
matrix toT * R * S * M
, whereT
is a translation by the given(tx, ty, tz)
,R
is a rotation  and possibly scaling  transformation specified by the quaternion(qx, qy, qz, qw)
,S
is a scaling transformation which scales the three axes x, y and z by(sx, sy, sz)
andM
is anaffine
matrix.Matrix4d
translationRotateScaleMulAffine(Vector3fc translation, Quaterniondc quat, Vector3fc scale, Matrix4d m)
Setthis
matrix toT * R * S * M
, whereT
is the giventranslation
,R
is a rotation  and possibly scaling  transformation specified by the given quaternion,S
is a scaling transformation which scales the axes byscale
andM
is anaffine
matrix.Matrix4d
translationRotateTowards(double posX, double posY, double posZ, double dirX, double dirY, double dirZ, double upX, double upY, double upZ)
Set this matrix to a model transformation for a righthanded coordinate system, that translates to the given(posX, posY, posZ)
and aligns the localz
axis with(dirX, dirY, dirZ)
.Matrix4d
translationRotateTowards(Vector3dc pos, Vector3dc dir, Vector3dc up)
Set this matrix to a model transformation for a righthanded coordinate system, that translates to the givenpos
and aligns the localz
axis withdir
.Matrix4d
transpose()
Transpose this matrix.Matrix4d
transpose(Matrix4d dest)
Transposethis
matrix and store the result intodest
.Matrix4d
transpose3x3()
Transpose only the upper left 3x3 submatrix of this matrix.Matrix3d
transpose3x3(Matrix3d dest)
Transpose only the upper left 3x3 submatrix of this matrix and store the result indest
.Matrix4d
transpose3x3(Matrix4d dest)
Transpose only the upper left 3x3 submatrix of this matrix and store the result indest
.Matrix4d
trapezoidCrop(double p0x, double p0y, double p1x, double p1y, double p2x, double p2y, double p3x, double p3y)
Setthis
matrix to a perspective transformation that maps the trapezoid spanned by the four corner coordinates(p0x, p0y)
,(p1x, p1y)
,(p2x, p2y)
and(p3x, p3y)
to the unit square[(1, 1)..(+1, +1)]
.Vector3d
unproject(double winX, double winY, double winZ, int[] viewport, Vector3d dest)
Unproject the given window coordinates(winX, winY, winZ)
bythis
matrix using the specified viewport.Vector4d
unproject(double winX, double winY, double winZ, int[] viewport, Vector4d dest)
Unproject the given window coordinates(winX, winY, winZ)
bythis
matrix using the specified viewport.Vector3d
unproject(Vector3dc winCoords, int[] viewport, Vector3d dest)
Unproject the given window coordinateswinCoords
bythis
matrix using the specified viewport.Vector4d
unproject(Vector3dc winCoords, int[] viewport, Vector4d dest)
Unproject the given window coordinateswinCoords
bythis
matrix using the specified viewport.Vector3d
unprojectInv(double winX, double winY, double winZ, int[] viewport, Vector3d dest)
Unproject the given window coordinates(winX, winY, winZ)
bythis
matrix using the specified viewport.Vector4d
unprojectInv(double winX, double winY, double winZ, int[] viewport, Vector4d dest)
Unproject the given window coordinates(winX, winY, winZ)
bythis
matrix using the specified viewport.Vector3d
unprojectInv(Vector3dc winCoords, int[] viewport, Vector3d dest)
Unproject the given window coordinateswinCoords
bythis
matrix using the specified viewport.Vector4d
unprojectInv(Vector3dc winCoords, int[] viewport, Vector4d dest)
Unproject the given window coordinateswinCoords
bythis
matrix using the specified viewport.Matrix4d
unprojectInvRay(double winX, double winY, int[] viewport, Vector3d originDest, Vector3d dirDest)
Unproject the given 2D window coordinates(winX, winY)
bythis
matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDCz = 1.0
and goes through NDCz = +1.0
.Matrix4d
unprojectInvRay(Vector2dc winCoords, int[] viewport, Vector3d originDest, Vector3d dirDest)
Unproject the given window coordinateswinCoords
bythis
matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDCz = 1.0
and goes through NDCz = +1.0
.Matrix4d
unprojectRay(double winX, double winY, int[] viewport, Vector3d originDest, Vector3d dirDest)
Unproject the given 2D window coordinates(winX, winY)
bythis
matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDCz = 1.0
and goes through NDCz = +1.0
.Matrix4d
unprojectRay(Vector2dc winCoords, int[] viewport, Vector3d originDest, Vector3d dirDest)
Unproject the given 2D window coordinateswinCoords
bythis
matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDCz = 1.0
and goes through NDCz = +1.0
.Matrix4d
withLookAtUp(double upX, double upY, double upZ)
Apply a transformation to this matrix to ensure that the local Y axis (as obtained bypositiveY(Vector3d)
) will be coplanar to the plane spanned by the local Z axis (as obtained bypositiveZ(Vector3d)
) and the given vector(upX, upY, upZ)
.Matrix4d
withLookAtUp(double upX, double upY, double upZ, Matrix4d dest)
Apply a transformation to this matrix to ensure that the local Y axis (as obtained byMatrix4dc.positiveY(Vector3d)
) will be coplanar to the plane spanned by the local Z axis (as obtained byMatrix4dc.positiveZ(Vector3d)
) and the given vector(upX, upY, upZ)
, and store the result indest
.Matrix4d
withLookAtUp(Vector3dc up)
Apply a transformation to this matrix to ensure that the local Y axis (as obtained bypositiveY(Vector3d)
) will be coplanar to the plane spanned by the local Z axis (as obtained bypositiveZ(Vector3d)
) and the given vectorup
.Matrix4d
withLookAtUp(Vector3dc up, Matrix4d dest)
Apply a transformation to this matrix to ensure that the local Y axis (as obtained byMatrix4dc.positiveY(Vector3d)
) will be coplanar to the plane spanned by the local Z axis (as obtained byMatrix4dc.positiveZ(Vector3d)
) and the given vectorup
, and store the result indest
.void
writeExternal(java.io.ObjectOutput out)
Matrix4d
zero()
Set all the values within this matrix to 0.



Constructor Detail

Matrix4d
public Matrix4d()

Matrix4d
public Matrix4d(Matrix4dc mat)
Create a newMatrix4d
and make it a copy of the given matrix. Parameters:
mat
 theMatrix4dc
to copy the values from

Matrix4d
public Matrix4d(Matrix4fc mat)
Create a newMatrix4d
and make it a copy of the given matrix. Parameters:
mat
 theMatrix4fc
to copy the values from

Matrix4d
public Matrix4d(Matrix4x3dc mat)
Create a newMatrix4d
and set its upper 4x3 submatrix to the given matrixmat
and all other elements to identity. Parameters:
mat
 theMatrix4x3dc
to copy the values from

Matrix4d
public Matrix4d(Matrix4x3fc mat)
Create a newMatrix4d
and set its upper 4x3 submatrix to the given matrixmat
and all other elements to identity. Parameters:
mat
 theMatrix4x3fc
to copy the values from

Matrix4d
public Matrix4d(Matrix3dc mat)
Create a newMatrix4d
by setting its uppper left 3x3 submatrix to the values of the givenMatrix3dc
and the rest to identity. Parameters:
mat
 theMatrix3dc

Matrix4d
public Matrix4d(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33)
Create a new 4x4 matrix using the supplied double values.The matrix layout will be:
m00, m10, m20, m30
m01, m11, m21, m31
m02, m12, m22, m32
m03, m13, m23, m33 Parameters:
m00
 the value of m00m01
 the value of m01m02
 the value of m02m03
 the value of m03m10
 the value of m10m11
 the value of m11m12
 the value of m12m13
 the value of m13m20
 the value of m20m21
 the value of m21m22
 the value of m22m23
 the value of m23m30
 the value of m30m31
 the value of m31m32
 the value of m32m33
 the value of m33

Matrix4d
public Matrix4d(java.nio.DoubleBuffer buffer)
Create a newMatrix4d
by reading its 16 double components from the givenDoubleBuffer
at the buffer's current position.That DoubleBuffer is expected to hold the values in columnmajor order.
The buffer's position will not be changed by this method.
 Parameters:
buffer
 theDoubleBuffer
to read the matrix values from


Method Detail

assume
public Matrix4d assume(int properties)
Assume the given properties about this matrix.Use one or multiple of 0,
Matrix4dc.PROPERTY_IDENTITY
,Matrix4dc.PROPERTY_TRANSLATION
,Matrix4dc.PROPERTY_AFFINE
,Matrix4dc.PROPERTY_PERSPECTIVE
,Matrix4fc.PROPERTY_ORTHONORMAL
. Parameters:
properties
 bitset of the properties to assume about this matrix Returns:
 this

determineProperties
public Matrix4d determineProperties()
Compute and set the matrix properties returned byproperties()
based on the current matrix element values. Returns:
 this

properties
public int properties()
Description copied from interface:Matrix4dc
Return the assumed properties of this matrix. This is a bitcombination ofMatrix4dc.PROPERTY_IDENTITY
,Matrix4dc.PROPERTY_AFFINE
,Matrix4dc.PROPERTY_TRANSLATION
andMatrix4dc.PROPERTY_PERSPECTIVE
. Specified by:
properties
in interfaceMatrix4dc
 Returns:
 the properties of the matrix

m00
public double m00()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 0 and row 0.

m01
public double m01()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 0 and row 1.

m02
public double m02()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 0 and row 2.

m03
public double m03()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 0 and row 3.

m10
public double m10()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 1 and row 0.

m11
public double m11()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 1 and row 1.

m12
public double m12()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 1 and row 2.

m13
public double m13()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 1 and row 3.

m20
public double m20()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 2 and row 0.

m21
public double m21()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 2 and row 1.

m22
public double m22()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 2 and row 2.

m23
public double m23()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 2 and row 3.

m30
public double m30()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 3 and row 0.

m31
public double m31()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 3 and row 1.

m32
public double m32()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 3 and row 2.

m33
public double m33()
Description copied from interface:Matrix4dc
Return the value of the matrix element at column 3 and row 3.

m00
public Matrix4d m00(double m00)
Set the value of the matrix element at column 0 and row 0. Parameters:
m00
 the new value Returns:
 this

m01
public Matrix4d m01(double m01)
Set the value of the matrix element at column 0 and row 1. Parameters:
m01
 the new value Returns:
 this

m02
public Matrix4d m02(double m02)
Set the value of the matrix element at column 0 and row 2. Parameters:
m02
 the new value Returns:
 this

m03
public Matrix4d m03(double m03)
Set the value of the matrix element at column 0 and row 3. Parameters:
m03
 the new value Returns:
 this

m10
public Matrix4d m10(double m10)
Set the value of the matrix element at column 1 and row 0. Parameters:
m10
 the new value Returns:
 this

m11
public Matrix4d m11(double m11)
Set the value of the matrix element at column 1 and row 1. Parameters:
m11
 the new value Returns:
 this

m12
public Matrix4d m12(double m12)
Set the value of the matrix element at column 1 and row 2. Parameters:
m12
 the new value Returns:
 this

m13
public Matrix4d m13(double m13)
Set the value of the matrix element at column 1 and row 3. Parameters:
m13
 the new value Returns:
 this

m20
public Matrix4d m20(double m20)
Set the value of the matrix element at column 2 and row 0. Parameters:
m20
 the new value Returns:
 this

m21
public Matrix4d m21(double m21)
Set the value of the matrix element at column 2 and row 1. Parameters:
m21
 the new value Returns:
 this

m22
public Matrix4d m22(double m22)
Set the value of the matrix element at column 2 and row 2. Parameters:
m22
 the new value Returns:
 this

m23
public Matrix4d m23(double m23)
Set the value of the matrix element at column 2 and row 3. Parameters:
m23
 the new value Returns:
 this

m30
public Matrix4d m30(double m30)
Set the value of the matrix element at column 3 and row 0. Parameters:
m30
 the new value Returns:
 this

m31
public Matrix4d m31(double m31)
Set the value of the matrix element at column 3 and row 1. Parameters:
m31
 the new value Returns:
 this

m32
public Matrix4d m32(double m32)
Set the value of the matrix element at column 3 and row 2. Parameters:
m32
 the new value Returns:
 this

m33
public Matrix4d m33(double m33)
Set the value of the matrix element at column 3 and row 3. Parameters:
m33
 the new value Returns:
 this

identity
public Matrix4d identity()
Reset this matrix to the identity.Please note that if a call to
identity()
is immediately followed by a call to:translate
,rotate
,scale
,perspective
,frustum
,ortho
,ortho2D
,lookAt
,lookAlong
, or any of their overloads, then the call toidentity()
can be omitted and the subsequent call replaced with:translation
,rotation
,scaling
,setPerspective
,setFrustum
,setOrtho
,setOrtho2D
,setLookAt
,setLookAlong
, or any of their overloads. Returns:
 this

set
public Matrix4d set(Matrix4dc m)
Store the values of the given matrixm
intothis
matrix. Parameters:
m
 the matrix to copy the values from Returns:
 this
 See Also:
Matrix4d(Matrix4dc)
,get(Matrix4d)

set
public Matrix4d set(Matrix4fc m)
Store the values of the given matrixm
intothis
matrix. Parameters:
m
 the matrix to copy the values from Returns:
 this
 See Also:
Matrix4d(Matrix4fc)

setTransposed
public Matrix4d setTransposed(Matrix4dc m)
Store the values of the transpose of the given matrixm
intothis
matrix. Parameters:
m
 the matrix to copy the transposed values from Returns:
 this

set
public Matrix4d set(Matrix4x3dc m)
Store the values of the given matrixm
intothis
matrix and set the other matrix elements to identity. Parameters:
m
 the matrix to copy the values from Returns:
 this
 See Also:
Matrix4d(Matrix4x3dc)

set
public Matrix4d set(Matrix4x3fc m)
Store the values of the given matrixm
intothis
matrix and set the other matrix elements to identity. Parameters:
m
 the matrix to copy the values from Returns:
 this
 See Also:
Matrix4d(Matrix4x3fc)

set
public Matrix4d set(Matrix3dc mat)
 Parameters:
mat
 theMatrix3dc
 Returns:
 this
 See Also:
Matrix4d(Matrix3dc)

set3x3
public Matrix4d set3x3(Matrix4dc mat)
Set the upper left 3x3 submatrix of thisMatrix4d
to that of the givenMatrix4dc
and don't change the other elements. Parameters:
mat
 theMatrix4dc
 Returns:
 this

set4x3
public Matrix4d set4x3(Matrix4x3dc mat)
Set the upper 4x3 submatrix of thisMatrix4d
to the givenMatrix4x3dc
and don't change the other elements. Parameters:
mat
 theMatrix4x3dc
 Returns:
 this
 See Also:
Matrix4x3dc.get(Matrix4d)

set4x3
public Matrix4d set4x3(Matrix4x3fc mat)
Set the upper 4x3 submatrix of thisMatrix4d
to the givenMatrix4x3fc
and don't change the other elements. Parameters:
mat
 theMatrix4x3fc
 Returns:
 this
 See Also:
Matrix4x3fc.get(Matrix4d)

set4x3
public Matrix4d set4x3(Matrix4dc mat)
Set the upper 4x3 submatrix of thisMatrix4d
to the upper 4x3 submatrix of the givenMatrix4dc
and don't change the other elements. Parameters:
mat
 theMatrix4dc
 Returns:
 this

set
public Matrix4d set(AxisAngle4f axisAngle)
Set this matrix to be equivalent to the rotation specified by the givenAxisAngle4f
. Parameters:
axisAngle
 theAxisAngle4f
 Returns:
 this

set
public Matrix4d set(AxisAngle4d axisAngle)
Set this matrix to be equivalent to the rotation specified by the givenAxisAngle4d
. Parameters:
axisAngle
 theAxisAngle4d
 Returns:
 this

set
public Matrix4d set(Quaternionfc q)
Set this matrix to be equivalent to the rotation  and possibly scaling  specified by the givenQuaternionfc
.This method is equivalent to calling:
rotation(q)
Reference: http://www.euclideanspace.com/
 Parameters:
q
 theQuaternionfc
 Returns:
 this
 See Also:
rotation(Quaternionfc)

set
public Matrix4d set(Quaterniondc q)
Set this matrix to be equivalent to the rotation  and possibly scaling  specified by the givenQuaterniondc
.This method is equivalent to calling:
rotation(q)
Reference: http://www.euclideanspace.com/
 Parameters:
q
 theQuaterniondc
 Returns:
 this
 See Also:
rotation(Quaterniondc)

mul
public Matrix4d mul(Matrix4dc right)
Multiply this matrix by the suppliedright
matrix.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 multiplication Returns:
 this

mul
public Matrix4d mul(Matrix4dc right, Matrix4d dest)
Description copied from interface:Matrix4dc
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!

mul0
public Matrix4d mul0(Matrix4dc right)
Multiply this matrix by the suppliedright
matrix.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!This method neither assumes nor checks for any matrix properties of
this
orright
and will always perform a complete 4x4 matrix multiplication. This method should only be used whenever the multiplied matrices do not have any properties for which there are optimized multiplication methods available. Parameters:
right
 the right operand of the matrix multiplication Returns:
 this

mul0
public Matrix4d mul0(Matrix4dc right, Matrix4d dest)
Description copied from interface:Matrix4dc
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!This method neither assumes nor checks for any matrix properties of
this
orright
and will always perform a complete 4x4 matrix multiplication. This method should only be used whenever the multiplied matrices do not have any properties for which there are optimized multiplication methods available.

mul
public Matrix4d mul(double r00, double r01, double r02, double r03, double r10, double r11, double r12, double r13, double r20, double r21, double r22, double r23, double r30, double r31, double r32, double r33)
Multiply this matrix by the matrix with the supplied elements.If
M
isthis
matrix andR
theright
matrix whose elements are supplied via the parameters, 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:
r00
 the m00 element of the right matrixr01
 the m01 element of the right matrixr02
 the m02 element of the right matrixr03
 the m03 element of the right matrixr10
 the m10 element of the right matrixr11
 the m11 element of the right matrixr12
 the m12 element of the right matrixr13
 the m13 element of the right matrixr20
 the m20 element of the right matrixr21
 the m21 element of the right matrixr22
 the m22 element of the right matrixr23
 the m23 element of the right matrixr30
 the m30 element of the right matrixr31
 the m31 element of the right matrixr32
 the m32 element of the right matrixr33
 the m33 element of the right matrix Returns:
 this

mul
public Matrix4d mul(double r00, double r01, double r02, double r03, double r10, double r11, double r12, double r13, double r20, double r21, double r22, double r23, double r30, double r31, double r32, double r33, Matrix4d dest)
Description copied from interface:Matrix4dc
Multiply this matrix by the matrix with the supplied elements and store the result indest
.If
M
isthis
matrix andR
theright
matrix whose elements are supplied via the parameters, 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! Specified by:
mul
in interfaceMatrix4dc
 Parameters:
r00
 the m00 element of the right matrixr01
 the m01 element of the right matrixr02
 the m02 element of the right matrixr03
 the m03 element of the right matrixr10
 the m10 element of the right matrixr11
 the m11 element of the right matrixr12
 the m12 element of the right matrixr13
 the m13 element of the right matrixr20
 the m20 element of the right matrixr21
 the m21 element of the right matrixr22
 the m22 element of the right matrixr23
 the m23 element of the right matrixr30
 the m30 element of the right matrixr31
 the m31 element of the right matrixr32
 the m32 element of the right matrixr33
 the m33 element of the right matrixdest
 the destination matrix, which will hold the result Returns:
 dest

mul3x3
public Matrix4d mul3x3(double r00, double r01, double r02, double r10, double r11, double r12, double r20, double r21, double r22)
Multiply this matrix by the 3x3 matrix with the supplied elements expanded to a 4x4 matrix with all other matrix elements set to identity.If
M
isthis
matrix andR
theright
matrix whose elements are supplied via the parameters, 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:
r00
 the m00 element of the right matrixr01
 the m01 element of the right matrixr02
 the m02 element of the right matrixr10
 the m10 element of the right matrixr11
 the m11 element of the right matrixr12
 the m12 element of the right matrixr20
 the m20 element of the right matrixr21
 the m21 element of the right matrixr22
 the m22 element of the right matrix Returns:
 this

mul3x3
public Matrix4d mul3x3(double r00, double r01, double r02, double r10, double r11, double r12, double r20, double r21, double r22, Matrix4d dest)
Description copied from interface:Matrix4dc
Multiply this matrix by the 3x3 matrix with the supplied elements expanded to a 4x4 matrix with all other matrix elements set to identity, and store the result indest
.If
M
isthis
matrix andR
theright
matrix whose elements are supplied via the parameters, 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! Specified by:
mul3x3
in interfaceMatrix4dc
 Parameters:
r00
 the m00 element of the right matrixr01
 the m01 element of the right matrixr02
 the m02 element of the right matrixr10
 the m10 element of the right matrixr11
 the m11 element of the right matrixr12
 the m12 element of the right matrixr20
 the m20 element of the right matrixr21
 the m21 element of the right matrixr22
 the m22 element of the right matrixdest
 the destination matrix, which will hold the result Returns:
 this

mulLocal
public Matrix4d mulLocal(Matrix4dc left)
Premultiply this matrix by the suppliedleft
matrix and store the result inthis
.If
M
isthis
matrix andL
theleft
matrix, then the new matrix will beL * M
. So when transforming a vectorv
with the new matrix by usingL * M * v
, the transformation ofthis
matrix will be applied first! Parameters:
left
 the left operand of the matrix multiplication Returns:
 this

mulLocal
public Matrix4d mulLocal(Matrix4dc left, Matrix4d dest)
Description copied from interface:Matrix4dc
Premultiply this matrix by the suppliedleft
matrix and store the result indest
.If
M
isthis
matrix andL
theleft
matrix, then the new matrix will beL * M
. So when transforming a vectorv
with the new matrix by usingL * M * v
, the transformation ofthis
matrix will be applied first!

mulLocalAffine
public Matrix4d mulLocalAffine(Matrix4dc left)
Premultiply this matrix by the suppliedleft
matrix, both of which are assumed to beaffine
, and store the result inthis
.This method assumes that
this
matrix and the givenleft
matrix both represent anaffine
transformation (i.e. their last rows are equal to(0, 0, 0, 1)
) and can be used to speed up matrix multiplication if the matrices only represent affine transformations, such as translation, rotation, scaling and shearing (in any combination).This method will not modify either the last row of
this
or the last row ofleft
.If
M
isthis
matrix andL
theleft
matrix, then the new matrix will beL * M
. So when transforming a vectorv
with the new matrix by usingL * M * v
, the transformation ofthis
matrix will be applied first! Parameters:
left
 the left operand of the matrix multiplication (the last row is assumed to be(0, 0, 0, 1)
) Returns:
 this

mulLocalAffine
public Matrix4d mulLocalAffine(Matrix4dc left, Matrix4d dest)
Description copied from interface:Matrix4dc
Premultiply this matrix by the suppliedleft
matrix, both of which are assumed to beaffine
, and store the result indest
.This method assumes that
this
matrix and the givenleft
matrix both represent anaffine
transformation (i.e. their last rows are equal to(0, 0, 0, 1)
) and can be used to speed up matrix multiplication if the matrices only represent affine transformations, such as translation, rotation, scaling and shearing (in any combination).This method will not modify either the last row of
this
or the last row ofleft
.If
M
isthis
matrix andL
theleft
matrix, then the new matrix will beL * M
. So when transforming a vectorv
with the new matrix by usingL * M * v
, the transformation ofthis
matrix will be applied first! Specified by:
mulLocalAffine
in interfaceMatrix4dc
 Parameters:
left
 the left operand of the matrix multiplication (the last row is assumed to be(0, 0, 0, 1)
)dest
 the destination matrix, which will hold the result Returns:
 dest

mul
public Matrix4d mul(Matrix4x3dc right)
Multiply this matrix by the suppliedright
matrix.The last row of the
right
matrix is assumed to be(0, 0, 0, 1)
.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 multiplication Returns:
 this

mul
public Matrix4d mul(Matrix4x3dc right, Matrix4d dest)
Description copied from interface:Matrix4dc
Multiply this matrix by the suppliedright
matrix and store the result indest
.The last row of the
right
matrix is assumed to be(0, 0, 0, 1)
.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!

mulPerspectiveAffine
public Matrix4d mulPerspectiveAffine(Matrix4x3dc view, Matrix4d dest)
Description copied from interface:Matrix4dc
Multiplythis
symmetric perspective projection matrix by the suppliedview
matrix and store the result indest
.If
P
isthis
matrix andV
theview
matrix, then the new matrix will beP * V
. So when transforming a vectorv
with the new matrix by usingP * V * v
, the transformation of theview
matrix will be applied first! Specified by:
mulPerspectiveAffine
in interfaceMatrix4dc
 Parameters:
view
 the matrix to multiplythis
symmetric perspective projection matrix bydest
 the destination matrix, which will hold the result Returns:
 dest

mul
public Matrix4d mul(Matrix4x3fc right, Matrix4d dest)
Description copied from interface:Matrix4dc
Multiply this matrix by the suppliedright
matrix and store the result indest
.The last row of the
right
matrix is assumed to be(0, 0, 0, 1)
.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!

mul
public Matrix4d mul(Matrix3x2dc right)
Multiply this matrix by the suppliedright
matrix and store the result inthis
.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 multiplication Returns:
 this

mul
public Matrix4d mul(Matrix3x2dc right, Matrix4d dest)
Description copied from interface:Matrix4dc
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!

mul
public Matrix4d mul(Matrix3x2fc right)
Multiply this matrix by the suppliedright
matrix and store the result inthis
.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 multiplication Returns:
 this

mul
public Matrix4d mul(Matrix3x2fc right, Matrix4d dest)
Description copied from interface:Matrix4dc
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!

mul
public Matrix4d mul(Matrix4f right)
Multiply this matrix by the supplied parameter matrix.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 multiplication Returns:
 this

mul
public Matrix4d mul(Matrix4fc right, Matrix4d dest)
Description copied from interface:Matrix4dc
Multiply this matrix by the supplied parameter 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!

mulPerspectiveAffine
public Matrix4d mulPerspectiveAffine(Matrix4dc view)
Multiplythis
symmetric perspective projection matrix by the suppliedaffine
view
matrix.If
P
isthis
matrix andV
theview
matrix, then the new matrix will beP * V
. So when transforming a vectorv
with the new matrix by usingP * V * v
, the transformation of theview
matrix will be applied first! Parameters:
view
 theaffine
matrix to multiplythis
symmetric perspective projection matrix by Returns:
 this

mulPerspectiveAffine
public Matrix4d mulPerspectiveAffine(Matrix4dc view, Matrix4d dest)
Description copied from interface:Matrix4dc
Multiplythis
symmetric perspective projection matrix by the suppliedaffine
view
matrix and store the result indest
.If
P
isthis
matrix andV
theview
matrix, then the new matrix will beP * V
. So when transforming a vectorv
with the new matrix by usingP * V * v
, the transformation of theview
matrix will be applied first! Specified by:
mulPerspectiveAffine
in interfaceMatrix4dc
 Parameters:
view
 theaffine
matrix to multiplythis
symmetric perspective projection matrix bydest
 the destination matrix, which will hold the result Returns:
 dest

mulAffineR
public Matrix4d mulAffineR(Matrix4dc right)
Multiply this matrix by the suppliedright
matrix, which is assumed to beaffine
, and store the result inthis
.This method assumes that the given
right
matrix represents anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).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 multiplication (the last row is assumed to be(0, 0, 0, 1)
) Returns:
 this

mulAffineR
public Matrix4d mulAffineR(Matrix4dc right, Matrix4d dest)
Description copied from interface:Matrix4dc
Multiply this matrix by the suppliedright
matrix, which is assumed to beaffine
, and store the result indest
.This method assumes that the given
right
matrix represents anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).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! Specified by:
mulAffineR
in interfaceMatrix4dc
 Parameters:
right
 the right operand of the matrix multiplication (the last row is assumed to be(0, 0, 0, 1)
)dest
 the destination matrix, which will hold the result Returns:
 dest

mulAffine
public Matrix4d mulAffine(Matrix4dc right)
Multiply this matrix by the suppliedright
matrix, both of which are assumed to beaffine
, and store the result inthis
.This method assumes that
this
matrix and the givenright
matrix both represent anaffine
transformation (i.e. their last rows are equal to(0, 0, 0, 1)
) and can be used to speed up matrix multiplication if the matrices only represent affine transformations, such as translation, rotation, scaling and shearing (in any combination).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 multiplication (the last row is assumed to be(0, 0, 0, 1)
) Returns:
 this

mulAffine
public Matrix4d mulAffine(Matrix4dc right, Matrix4d dest)
Description copied from interface:Matrix4dc
Multiply this matrix by the suppliedright
matrix, both of which are assumed to beaffine
, and store the result indest
.This method assumes that
this
matrix and the givenright
matrix both represent anaffine
transformation (i.e. their last rows are equal to(0, 0, 0, 1)
) and can be used to speed up matrix multiplication if the matrices only represent affine transformations, such as translation, rotation, scaling and shearing (in any combination).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!

mulTranslationAffine
public Matrix4d mulTranslationAffine(Matrix4dc right, Matrix4d dest)
Description copied from interface:Matrix4dc
Multiply this matrix, which is assumed to only contain a translation, by the suppliedright
matrix, which is assumed to beaffine
, and store the result indest
.This method assumes that
this
matrix only contains a translation, and that the givenright
matrix represents anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
).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! Specified by:
mulTranslationAffine
in interfaceMatrix4dc
 Parameters:
right
 the right operand of the matrix multiplication (the last row is assumed to be(0, 0, 0, 1)
)dest
 the destination matrix, which will hold the result Returns:
 dest

mulOrthoAffine
public Matrix4d mulOrthoAffine(Matrix4dc view)
Multiplythis
orthographic projection matrix by the suppliedaffine
view
matrix.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 affine matrix which to multiplythis
with Returns:
 this

mulOrthoAffine
public Matrix4d mulOrthoAffine(Matrix4dc view, Matrix4d dest)
Description copied from interface:Matrix4dc
Multiplythis
orthographic projection matrix by the suppliedaffine
view
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! Specified by:
mulOrthoAffine
in interfaceMatrix4dc
 Parameters:
view
 the affine matrix which to multiplythis
withdest
 the destination matrix, which will hold the result Returns:
 dest

fma4x3
public Matrix4d fma4x3(Matrix4dc other, double otherFactor)
Componentwise add the upper 4x3 submatrices ofthis
andother
by first multiplying each component ofother
's 4x3 submatrix byotherFactor
and adding that result tothis
.The matrix
other
will not be changed. Parameters:
other
 the other matrixotherFactor
 the factor to multiply each of the other matrix's 4x3 components Returns:
 this

fma4x3
public Matrix4d fma4x3(Matrix4dc other, double otherFactor, Matrix4d dest)
Description copied from interface:Matrix4dc
Componentwise add the upper 4x3 submatrices ofthis
andother
by first multiplying each component ofother
's 4x3 submatrix 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.

add
public Matrix4d add(Matrix4dc other)
Componentwise addthis
andother
. Parameters:
other
 the other addend Returns:
 this

add
public Matrix4d add(Matrix4dc other, Matrix4d dest)
Description copied from interface:Matrix4dc
Componentwise addthis
andother
and store the result indest
.

sub
public Matrix4d sub(Matrix4dc subtrahend)
Componentwise subtractsubtrahend
fromthis
. Parameters:
subtrahend
 the subtrahend Returns:
 this

sub
public Matrix4d sub(Matrix4dc subtrahend, Matrix4d dest)
Description copied from interface:Matrix4dc
Componentwise subtractsubtrahend
fromthis
and store the result indest
.

mulComponentWise
public Matrix4d mulComponentWise(Matrix4dc other)
Componentwise multiplythis
byother
. Parameters:
other
 the other matrix Returns:
 this

mulComponentWise
public Matrix4d mulComponentWise(Matrix4dc other, Matrix4d dest)
Description copied from interface:Matrix4dc
Componentwise multiplythis
byother
and store the result indest
. Specified by:
mulComponentWise
in interfaceMatrix4dc
 Parameters:
other
 the other matrixdest
 will hold the result Returns:
 dest

add4x3
public Matrix4d add4x3(Matrix4dc other)
Componentwise add the upper 4x3 submatrices ofthis
andother
. Parameters:
other
 the other addend Returns:
 this

add4x3
public Matrix4d add4x3(Matrix4dc other, Matrix4d dest)
Description copied from interface:Matrix4dc
Componentwise add the upper 4x3 submatrices ofthis
andother
and store the result indest
.The other components of
dest
will be set to the ones ofthis
.

add4x3
public Matrix4d add4x3(Matrix4fc other)
Componentwise add the upper 4x3 submatrices ofthis
andother
. Parameters:
other
 the other addend Returns:
 this

add4x3
public Matrix4d add4x3(Matrix4fc other, Matrix4d dest)
Description copied from interface:Matrix4dc
Componentwise add the upper 4x3 submatrices ofthis
andother
and store the result indest
.The other components of
dest
will be set to the ones ofthis
.

sub4x3
public Matrix4d sub4x3(Matrix4dc subtrahend)
Componentwise subtract the upper 4x3 submatrices ofsubtrahend
fromthis
. Parameters:
subtrahend
 the subtrahend Returns:
 this

sub4x3
public Matrix4d sub4x3(Matrix4dc subtrahend, Matrix4d dest)
Description copied from interface:Matrix4dc
Componentwise subtract the upper 4x3 submatrices ofsubtrahend
fromthis
and store the result indest
.The other components of
dest
will be set to the ones ofthis
.

mul4x3ComponentWise
public Matrix4d mul4x3ComponentWise(Matrix4dc other)
Componentwise multiply the upper 4x3 submatrices ofthis
byother
. Parameters:
other
 the other matrix Returns:
 this

mul4x3ComponentWise
public Matrix4d mul4x3ComponentWise(Matrix4dc other, Matrix4d dest)
Description copied from interface:Matrix4dc
Componentwise multiply the upper 4x3 submatrices ofthis
byother
and store the result indest
.The other components of
dest
will be set to the ones ofthis
. Specified by:
mul4x3ComponentWise
in interfaceMatrix4dc
 Parameters:
other
 the other matrixdest
 will hold the result Returns:
 dest

set
public Matrix4d set(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33)
Set the values within this matrix to the supplied double values. The matrix will look like this:
m00, m10, m20, m30
m01, m11, m21, m31
m02, m12, m22, m32
m03, m13, m23, m33 Parameters:
m00
 the new value of m00m01
 the new value of m01m02
 the new value of m02m03
 the new value of m03m10
 the new value of m10m11
 the new value of m11m12
 the new value of m12m13
 the new value of m13m20
 the new value of m20m21
 the new value of m21m22
 the new value of m22m23
 the new value of m23m30
 the new value of m30m31
 the new value of m31m32
 the new value of m32m33
 the new value of m33 Returns:
 this

set
public Matrix4d set(double[] m, int off)
Set the values in the matrix using a double array that contains the matrix elements in columnmajor order.The results will look like this:
0, 4, 8, 12
1, 5, 9, 13
2, 6, 10, 14
3, 7, 11, 15 Parameters:
m
 the array to read the matrix values fromoff
 the offset into the array Returns:
 this
 See Also:
set(double[])

set
public Matrix4d set(double[] m)
Set the values in the matrix using a double array that contains the matrix elements in columnmajor order.The results will look like this:
0, 4, 8, 12
1, 5, 9, 13
2, 6, 10, 14
3, 7, 11, 15 Parameters:
m
 the array to read the matrix values from Returns:
 this
 See Also:
set(double[], int)

set
public Matrix4d set(float[] m, int off)
Set the values in the matrix using a float array that contains the matrix elements in columnmajor order.The results will look like this:
0, 4, 8, 12
1, 5, 9, 13
2, 6, 10, 14
3, 7, 11, 15 Parameters:
m
 the array to read the matrix values fromoff
 the offset into the array Returns:
 this
 See Also:
set(float[])

set
public Matrix4d set(float[] m)
Set the values in the matrix using a float array that contains the matrix elements in columnmajor order.The results will look like this:
0, 4, 8, 12
1, 5, 9, 13
2, 6, 10, 14
3, 7, 11, 15 Parameters:
m
 the array to read the matrix values from Returns:
 this
 See Also:
set(float[], int)

set
public Matrix4d set(java.nio.DoubleBuffer buffer)
Set the values of this matrix by reading 16 double values from the givenDoubleBuffer
in columnmajor order, starting at its current position.The DoubleBuffer is expected to contain the values in columnmajor order.
The position of the DoubleBuffer will not be changed by this method.
 Parameters:
buffer
 the DoubleBuffer to read the matrix values from in columnmajor order Returns:
 this

set
public Matrix4d set(java.nio.FloatBuffer buffer)
Set the values of this matrix by reading 16 float values from the givenFloatBuffer
in columnmajor order, starting at its current position.The FloatBuffer is expected to contain the values in columnmajor order.
The position of the FloatBuffer will not be changed by this method.
 Parameters:
buffer
 the FloatBuffer to read the matrix values from in columnmajor order Returns:
 this

set
public Matrix4d set(java.nio.ByteBuffer buffer)
Set the values of this matrix by reading 16 double values from the givenByteBuffer
in columnmajor order, starting at its current position.The ByteBuffer is expected to contain the values in columnmajor order.
The position of the ByteBuffer will not be changed by this method.
 Parameters:
buffer
 the ByteBuffer to read the matrix values from in columnmajor order Returns:
 this

set
public Matrix4d set(int index, java.nio.DoubleBuffer buffer)
Set the values of this matrix by reading 16 double values from the givenDoubleBuffer
in columnmajor order, starting at the specified absolute buffer position/index.The DoubleBuffer is expected to contain the values in columnmajor order.
The position of the DoubleBuffer will not be changed by this method.
 Parameters:
index
 the absolute position into the DoubleBufferbuffer
 the DoubleBuffer to read the matrix values from in columnmajor order Returns:
 this

set
public Matrix4d set(int index, java.nio.FloatBuffer buffer)
Set the values of this matrix by reading 16 float values from the givenFloatBuffer
in columnmajor order, starting at the specified absolute buffer position/index.The FloatBuffer is expected to contain the values in columnmajor order.
The position of the FloatBuffer will not be changed by this method.
 Parameters:
index
 the absolute position into the FloatBufferbuffer
 the FloatBuffer to read the matrix values from in columnmajor order Returns:
 this

set
public Matrix4d set(int index, java.nio.ByteBuffer buffer)
Set the values of this matrix by reading 16 double values from the givenByteBuffer
in columnmajor order, starting at the specified absolute buffer position/index.The ByteBuffer is expected to contain the values in columnmajor order.
The position of the ByteBuffer will not be changed by this method.
 Parameters:
index
 the absolute position into the ByteBufferbuffer
 the ByteBuffer to read the matrix values from in columnmajor order Returns:
 this

setFloats
public Matrix4d setFloats(java.nio.ByteBuffer buffer)
Set the values of this matrix by reading 16 float values from the givenByteBuffer
in columnmajor order, starting at its current position.The ByteBuffer is expected to contain the values in columnmajor order.
The position of the ByteBuffer will not be changed by this method.
 Parameters:
buffer
 the ByteBuffer to read the matrix values from in columnmajor order Returns:
 this

setFloats
public Matrix4d setFloats(int index, java.nio.ByteBuffer buffer)
Set the values of this matrix by reading 16 float values from the givenByteBuffer
in columnmajor order, starting at the specified absolute buffer position/index.The ByteBuffer is expected to contain the values in columnmajor order.
The position of the ByteBuffer will not be changed by this method.
 Parameters:
index
 the absolute position into the ByteBufferbuffer
 the ByteBuffer to read the matrix values from in columnmajor order Returns:
 this

setFromAddress
public Matrix4d setFromAddress(long address)
Set the values of this matrix by reading 16 double values from offheap memory in columnmajor order, starting at the given address.This method will throw an
UnsupportedOperationException
when JOML is used with `Djoml.nounsafe`.This method is unsafe as it can result in a crash of the JVM process when the specified address range does not belong to this process.
 Parameters:
address
 the offheap memory address to read the matrix values from in columnmajor order Returns:
 this

set
public Matrix4d set(Vector4d col0, Vector4d col1, Vector4d col2, Vector4d col3)
Set the four columns of this matrix to the supplied vectors, respectively. Parameters:
col0
 the first columncol1
 the second columncol2
 the third columncol3
 the fourth column Returns:
 this

determinant
public double determinant()
Description copied from interface:Matrix4dc
Return the determinant of this matrix.If
this
matrix represents anaffine
transformation, such as translation, rotation, scaling and shearing, and thus its last row is equal to(0, 0, 0, 1)
, thenMatrix4dc.determinantAffine()
can be used instead of this method. Specified by:
determinant
in interfaceMatrix4dc
 Returns:
 the determinant
 See Also:
Matrix4dc.determinantAffine()

determinant3x3
public double determinant3x3()
Description copied from interface:Matrix4dc
Return the determinant of the upper left 3x3 submatrix of this matrix. Specified by:
determinant3x3
in interfaceMatrix4dc
 Returns:
 the determinant

determinantAffine
public double determinantAffine()
Description copied from interface:Matrix4dc
Return the determinant of this matrix by assuming that it represents anaffine
transformation and thus its last row is equal to(0, 0, 0, 1)
. Specified by:
determinantAffine
in interfaceMatrix4dc
 Returns:
 the determinant

invert
public Matrix4d invert()
Invert this matrix.If
this
matrix represents anaffine
transformation, such as translation, rotation, scaling and shearing, and thus its last row is equal to(0, 0, 0, 1)
, theninvertAffine()
can be used instead of this method. Returns:
 this
 See Also:
invertAffine()

invert
public Matrix4d invert(Matrix4d dest)
Description copied from interface:Matrix4dc
Invertthis
matrix and store the result indest
.If
this
matrix represents anaffine
transformation, such as translation, rotation, scaling and shearing, and thus its last row is equal to(0, 0, 0, 1)
, thenMatrix4dc.invertAffine(Matrix4d)
can be used instead of this method. Specified by:
invert
in interfaceMatrix4dc
 Parameters:
dest
 will hold the result Returns:
 dest
 See Also:
Matrix4dc.invertAffine(Matrix4d)

invertPerspective
public Matrix4d invertPerspective(Matrix4d dest)
Description copied from interface:Matrix4dc
Ifthis
is a perspective projection matrix obtained via one of theperspective()
methods, that is, ifthis
is a symmetrical perspective frustum transformation, then this method builds the inverse ofthis
and stores it into the givendest
.This method can be used to quickly obtain the inverse of a perspective projection matrix when being obtained via
perspective()
. Specified by:
invertPerspective
in interfaceMatrix4dc
 Parameters:
dest
 will hold the inverse ofthis
 Returns:
 dest
 See Also:
Matrix4dc.perspective(double, double, double, double, Matrix4d)

invertPerspective
public Matrix4d invertPerspective()
Ifthis
is a perspective projection matrix obtained via one of theperspective()
methods or viasetPerspective()
, that is, ifthis
is a symmetrical perspective frustum transformation, then this method builds the inverse ofthis
.This method can be used to quickly obtain the inverse of a perspective projection matrix when being obtained via
perspective()
. Returns:
 this
 See Also:
perspective(double, double, double, double)

invertFrustum
public Matrix4d invertFrustum(Matrix4d dest)
Description copied from interface:Matrix4dc
Ifthis
is an arbitrary perspective projection matrix obtained via one of thefrustum()
methods, then this method builds the inverse ofthis
and stores it into the givendest
.This method can be used to quickly obtain the inverse of a perspective projection matrix.
If this matrix represents a symmetric perspective frustum transformation, as obtained via
perspective()
, thenMatrix4dc.invertPerspective(Matrix4d)
should be used instead. Specified by:
invertFrustum
in interfaceMatrix4dc
 Parameters:
dest
 will hold the inverse ofthis
 Returns:
 dest
 See Also:
Matrix4dc.frustum(double, double, double, double, double, double, Matrix4d)
,Matrix4dc.invertPerspective(Matrix4d)

invertFrustum
public Matrix4d invertFrustum()
Ifthis
is an arbitrary perspective projection matrix obtained via one of thefrustum()
methods or viasetFrustum()
, then this method builds the inverse ofthis
.This method can be used to quickly obtain the inverse of a perspective projection matrix.
If this matrix represents a symmetric perspective frustum transformation, as obtained via
perspective()
, theninvertPerspective()
should be used instead. Returns:
 this
 See Also:
frustum(double, double, double, double, double, double)
,invertPerspective()

invertOrtho
public Matrix4d invertOrtho(Matrix4d dest)
Description copied from interface:Matrix4dc
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.
 Specified by:
invertOrtho
in interfaceMatrix4dc
 Parameters:
dest
 will hold the inverse ofthis
 Returns:
 dest

invertOrtho
public Matrix4d invertOrtho()
Invertthis
orthographic projection matrix.This method can be used to quickly obtain the inverse of an orthographic projection matrix.
 Returns:
 this

invertPerspectiveView
public Matrix4d invertPerspectiveView(Matrix4dc view, Matrix4d dest)
Description copied from interface:Matrix4dc
Ifthis
is a perspective projection matrix obtained via one of theperspective()
methods, that is, ifthis
is a symmetrical perspective frustum transformation and the givenview
matrix isaffine
and has unit scaling (for example by being obtained vialookAt()
), then this method builds the inverse ofthis * view
and stores it into the givendest
.This method can be used to quickly obtain the inverse of the combination of the view and projection matrices, when both were obtained via the common methods
perspective()
andlookAt()
or other methods, that build affine matrices, such astranslate
andMatrix4dc.rotate(double, double, double, double, Matrix4d)
, except forscale()
.For the special cases of the matrices
this
andview
mentioned above, this method is equivalent to the following code:dest.set(this).mul(view).invert();
 Specified by:
invertPerspectiveView
in interfaceMatrix4dc
 Parameters:
view
 the view transformation (must beaffine
and have unit scaling)dest
 will hold the inverse ofthis * view
 Returns:
 dest

invertPerspectiveView
public Matrix4d invertPerspectiveView(Matrix4x3dc view, Matrix4d dest)
Description copied from interface:Matrix4dc
Ifthis
is a perspective projection matrix obtained via one of theperspective()
methods, that is, ifthis
is a symmetrical perspective frustum transformation and the givenview
matrix has unit scaling, then this method builds the inverse ofthis * view
and stores it into the givendest
.This method can be used to quickly obtain the inverse of the combination of the view and projection matrices, when both were obtained via the common methods
perspective()
andlookAt()
or other methods, that build affine matrices, such astranslate
andMatrix4dc.rotate(double, double, double, double, Matrix4d)
, except forscale()
.For the special cases of the matrices
this
andview
mentioned above, this method is equivalent to the following code:dest.set(this).mul(view).invert();
 Specified by:
invertPerspectiveView
in interfaceMatrix4dc
 Parameters:
view
 the view transformation (must have unit scaling)dest
 will hold the inverse ofthis * view
 Returns:
 dest

invertAffine
public Matrix4d invertAffine(Matrix4d dest)
Description copied from interface:Matrix4dc
Invert this matrix by assuming that it is anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
) and write the result intodest
. Specified by:
invertAffine
in interfaceMatrix4dc
 Parameters:
dest
 will hold the result Returns:
 dest

invertAffine
public Matrix4d invertAffine()
Invert this matrix by assuming that it is anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
). Returns:
 this

transpose
public Matrix4d transpose()
Transpose this matrix. Returns:
 this

transpose
public Matrix4d transpose(Matrix4d dest)
Description copied from interface:Matrix4dc
Transposethis
matrix and store the result intodest
.

transpose3x3
public Matrix4d transpose3x3()
Transpose only the upper left 3x3 submatrix of this matrix.All other matrix elements are left unchanged.
 Returns:
 this

transpose3x3
public Matrix4d transpose3x3(Matrix4d dest)
Description copied from interface:Matrix4dc
Transpose only the upper left 3x3 submatrix of this matrix and store the result indest
.All other matrix elements are left unchanged.
 Specified by:
transpose3x3
in interfaceMatrix4dc
 Parameters:
dest
 will hold the result Returns:
 dest

transpose3x3
public Matrix3d transpose3x3(Matrix3d dest)
Description copied from interface:Matrix4dc
Transpose only the upper left 3x3 submatrix of this matrix and store the result indest
. Specified by:
transpose3x3
in interfaceMatrix4dc
 Parameters:
dest
 will hold the result Returns:
 dest

translation
public Matrix4d translation(double x, double y, double z)
Set this matrix to be a simple translation matrix.The resulting matrix can be multiplied against another transformation matrix to obtain an additional translation.
 Parameters:
x
 the offset to translate in xy
 the offset to translate in yz
 the offset to translate in z Returns:
 this

translation
public Matrix4d translation(Vector3fc offset)
Set this matrix to be a simple translation matrix.The resulting matrix can be multiplied against another transformation matrix to obtain an additional translation.
 Parameters:
offset
 the offsets in x, y and z to translate Returns:
 this

translation
public Matrix4d translation(Vector3dc offset)
Set this matrix to be a simple translation matrix.The resulting matrix can be multiplied against another transformation matrix to obtain an additional translation.
 Parameters:
offset
 the offsets in x, y and z to translate Returns:
 this

setTranslation
public Matrix4d setTranslation(double x, double y, double z)
Set only the translation components(m30, m31, m32)
of this matrix to the given values(x, y, z)
.To build a translation matrix instead, use
translation(double, double, double)
. To apply a translation, usetranslate(double, double, double)
. Parameters:
x
 the units to translate in xy
 the units to translate in yz
 the units to translate in z Returns:
 this
 See Also:
translation(double, double, double)
,translate(double, double, double)

setTranslation
public Matrix4d setTranslation(Vector3dc xyz)
Set only the translation components(m30, m31, m32)
of this matrix to the given values(xyz.x, xyz.y, xyz.z)
.To build a translation matrix instead, use
translation(Vector3dc)
. To apply a translation, usetranslate(Vector3dc)
. Parameters:
xyz
 the units to translate in(x, y, z)
 Returns:
 this
 See Also:
translation(Vector3dc)
,translate(Vector3dc)

getTranslation
public Vector3d getTranslation(Vector3d dest)
Description copied from interface:Matrix4dc
Get only the translation components(m30, m31, m32)
of this matrix and store them in the given vectorxyz
. Specified by:
getTranslation
in interfaceMatrix4dc
 Parameters:
dest
 will hold the translation components of this matrix Returns:
 dest

getScale
public Vector3d getScale(Vector3d dest)
Description copied from interface:Matrix4dc
Get the scaling factors ofthis
matrix for the three base axes.

toString
public java.lang.String toString()
Return a string representation of this matrix.This method creates a new
DecimalFormat
on every invocation with the format string "0.000E0;
". Overrides:
toString
in classjava.lang.Object
 Returns:
 the string representation

toString
public java.lang.String toString(java.text.NumberFormat formatter)
Return a string representation of this matrix by formatting the matrix elements with the givenNumberFormat
. Parameters:
formatter
 theNumberFormat
used to format the matrix values with Returns:
 the string representation

get
public Matrix4d get(Matrix4d dest)
Description copied from interface:Matrix4dc
Get the current values ofthis
matrix and store them intodest
.

get4x3
public Matrix4x3d get4x3(Matrix4x3d dest)
Description copied from interface:Matrix4dc
Get the current values of the upper 4x3 submatrix ofthis
matrix and store them intodest
.

get3x3
public Matrix3d get3x3(Matrix3d dest)
Description copied from interface:Matrix4dc
Get the current values of the upper left 3x3 submatrix ofthis
matrix and store them intodest
.

getUnnormalizedRotation
public Quaternionf getUnnormalizedRotation(Quaternionf dest)
Description copied from interface:Matrix4dc
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 upper left 3x3 submatrix are not normalized and thus allows to ignore any additional scaling factor that is applied to the matrix.
 Specified by:
getUnnormalizedRotation
in interfaceMatrix4dc
 Parameters:
dest
 the destinationQuaternionf
 Returns:
 the passed in destination
 See Also:
Quaternionf.setFromUnnormalized(Matrix4dc)

getNormalizedRotation
public Quaternionf getNormalizedRotation(Quaternionf dest)
Description copied from interface:Matrix4dc
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 upper left 3x3 submatrix are normalized.
 Specified by:
getNormalizedRotation
in interfaceMatrix4dc
 Parameters:
dest
 the destinationQuaternionf
 Returns:
 the passed in destination
 See Also:
Quaternionf.setFromNormalized(Matrix4dc)

getUnnormalizedRotation
public Quaterniond getUnnormalizedRotation(Quaterniond dest)
Description copied from interface:Matrix4dc
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 upper left 3x3 submatrix are not normalized and thus allows to ignore any additional scaling factor that is applied to the matrix.
 Specified by:
getUnnormalizedRotation
in interfaceMatrix4dc
 Parameters:
dest
 the destinationQuaterniond
 Returns:
 the passed in destination
 See Also:
Quaterniond.setFromUnnormalized(Matrix4dc)

getNormalizedRotation
public Quaterniond getNormalizedRotation(Quaterniond dest)
Description copied from interface:Matrix4dc
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 upper left 3x3 submatrix are normalized.
 Specified by:
getNormalizedRotation
in interfaceMatrix4dc
 Parameters:
dest
 the destinationQuaterniond
 Returns:
 the passed in destination
 See Also:
Quaterniond.setFromNormalized(Matrix4dc)

get
public java.nio.DoubleBuffer get(java.nio.DoubleBuffer dest)
Description copied from interface:Matrix4dc
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
Matrix4dc.get(int, DoubleBuffer)
, taking the absolute position as parameter. Specified by:
get
in interfaceMatrix4dc
 Parameters:
dest
 will receive the values of this matrix in columnmajor order at its current position Returns:
 the passed in buffer
 See Also:
Matrix4dc.get(int, DoubleBuffer)

get
public java.nio.DoubleBuffer get(int index, java.nio.DoubleBuffer dest)
Description copied from interface:Matrix4dc
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
.

get
public java.nio.FloatBuffer get(java.nio.FloatBuffer dest)
Description copied from interface:Matrix4dc
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
Matrix4dc.get(int, FloatBuffer)
, taking the absolute position as parameter.Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given FloatBuffer.
 Specified by:
get
in interfaceMatrix4dc
 Parameters:
dest
 will receive the values of this matrix in columnmajor order at its current position Returns:
 the passed in buffer
 See Also:
Matrix4dc.get(int, FloatBuffer)

get
public java.nio.FloatBuffer get(int index, java.nio.FloatBuffer dest)
Description copied from interface:Matrix4dc
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.

get
public java.nio.ByteBuffer get(java.nio.ByteBuffer dest)
Description copied from interface:Matrix4dc
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
Matrix4dc.get(int, ByteBuffer)
, taking the absolute position as parameter. Specified by:
get
in interfaceMatrix4dc
 Parameters:
dest
 will receive the values of this matrix in columnmajor order at its current position Returns:
 the passed in buffer
 See Also:
Matrix4dc.get(int, ByteBuffer)

get
public java.nio.ByteBuffer get(int index, java.nio.ByteBuffer dest)
Description copied from interface:Matrix4dc
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.

getFloats
public java.nio.ByteBuffer getFloats(java.nio.ByteBuffer dest)
Description copied from interface:Matrix4dc
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
Matrix4dc.getFloats(int, ByteBuffer)
, taking the absolute position as parameter. Specified by:
getFloats
in interfaceMatrix4dc
 Parameters:
dest
 will receive the elements of this matrix as float values in columnmajor order at its current position Returns:
 the passed in buffer
 See Also:
Matrix4dc.getFloats(int, ByteBuffer)

getFloats
public java.nio.ByteBuffer getFloats(int index, java.nio.ByteBuffer dest)
Description copied from interface:Matrix4dc
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.

getToAddress
public Matrix4dc getToAddress(long address)
Description copied from interface:Matrix4dc
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.
 Specified by:
getToAddress
in interfaceMatrix4dc
 Parameters:
address
 the offheap address where to store this matrix Returns:
 this

get
public double[] get(double[] dest, int offset)
Description copied from interface:Matrix4dc
Store this matrix into the supplied double array in columnmajor order at the given offset.

get
public double[] get(double[] dest)
Description copied from interface:Matrix4dc
Store this matrix into the supplied double array in columnmajor order.In order to specify an explicit offset into the array, use the method
Matrix4dc.get(double[], int)
. Specified by:
get
in interfaceMatrix4dc
 Parameters:
dest
 the array to write the matrix values into Returns:
 the passed in array
 See Also:
Matrix4dc.get(double[], int)

get
public float[] get(float[] dest, int offset)
Description copied from interface:Matrix4dc
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.

get
public float[] get(float[] dest)
Description copied from interface:Matrix4dc
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
Matrix4dc.get(float[], int)
. Specified by:
get
in interfaceMatrix4dc
 Parameters:
dest
 the array to write the matrix values into Returns:
 the passed in array
 See Also:
Matrix4dc.get(float[], int)

getTransposed
public java.nio.DoubleBuffer getTransposed(java.nio.DoubleBuffer dest)
Description copied from interface:Matrix4dc
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
Matrix4dc.getTransposed(int, DoubleBuffer)
, taking the absolute position as parameter. Specified by:
getTransposed
in interfaceMatrix4dc
 Parameters:
dest
 will receive the values of this matrix in rowmajor order at its current position Returns:
 the passed in buffer
 See Also:
Matrix4dc.getTransposed(int, DoubleBuffer)

getTransposed
public java.nio.DoubleBuffer getTransposed(int index, java.nio.DoubleBuffer dest)
Description copied from interface:Matrix4dc
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.
 Specified by:
getTransposed
in interfaceMatrix4dc
 Parameters:
index
 the absolute position into the DoubleBufferdest
 will receive the values of this matrix in rowmajor order Returns:
 the passed in buffer

getTransposed
public java.nio.FloatBuffer getTransposed(java.nio.FloatBuffer dest)
Description copied from interface:Matrix4dc
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
Matrix4dc.getTransposed(int, FloatBuffer)
, taking the absolute position as parameter. Specified by:
getTransposed
in interfaceMatrix4dc
 Parameters:
dest
 will receive the values of this matrix in rowmajor order at its current position Returns:
 the passed in buffer
 See Also:
Matrix4dc.getTransposed(int, FloatBuffer)

getTransposed
public java.nio.FloatBuffer getTransposed(int index, java.nio.FloatBuffer dest)
Description copied from interface:Matrix4dc
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.
 Specified by:
getTransposed
in interfaceMatrix4dc
 Parameters:
index
 the absolute position into the FloatBufferdest
 will receive the values of this matrix in rowmajor order Returns:
 the passed in buffer

getTransposed
public java.nio.ByteBuffer getTransposed(java.nio.ByteBuffer dest)
Description copied from interface:Matrix4dc
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
Matrix4dc.getTransposed(int, ByteBuffer)
, taking the absolute position as parameter. Specified by:
getTransposed
in interfaceMatrix4dc
 Parameters:
dest
 will receive the values of this matrix in rowmajor order at its current position Returns:
 the passed in buffer
 See Also:
Matrix4dc.getTransposed(int, ByteBuffer)

getTransposed
public java.nio.ByteBuffer getTransposed(int index, java.nio.ByteBuffer dest)
Description copied from interface:Matrix4dc
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.
 Specified by:
getTransposed
in interfaceMatrix4dc
 Parameters:
index
 the absolute position into the ByteBufferdest
 will receive the values of this matrix in rowmajor order Returns:
 the passed in buffer

get4x3Transposed
public java.nio.DoubleBuffer get4x3Transposed(java.nio.DoubleBuffer dest)
Description copied from interface:Matrix4dc
Store the upper 4x3 submatrix ofthis
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
Matrix4dc.get4x3Transposed(int, DoubleBuffer)
, taking the absolute position as parameter. Specified by:
get4x3Transposed
in interfaceMatrix4dc
 Parameters:
dest
 will receive the values of the upper 4x3 submatrix in rowmajor order at its current position Returns:
 the passed in buffer
 See Also:
Matrix4dc.get4x3Transposed(int, DoubleBuffer)

get4x3Transposed
public java.nio.DoubleBuffer get4x3Transposed(int index, java.nio.DoubleBuffer dest)
Description copied from interface:Matrix4dc
Store the upper 4x3 submatrix ofthis
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.
 Specified by:
get4x3Transposed
in interfaceMatrix4dc
 Parameters:
index
 the absolute position into the DoubleBufferdest
 will receive the values of the upper 4x3 submatrix in rowmajor order Returns:
 the passed in buffer

get4x3Transposed
public java.nio.ByteBuffer get4x3Transposed(java.nio.ByteBuffer dest)
Description copied from interface:Matrix4dc
Store the upper 4x3 submatrix ofthis
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
Matrix4dc.get4x3Transposed(int, ByteBuffer)
, taking the absolute position as parameter. Specified by:
get4x3Transposed
in interfaceMatrix4dc
 Parameters:
dest
 will receive the values of the upper 4x3 submatrix in rowmajor order at its current position Returns:
 the passed in buffer
 See Also:
Matrix4dc.get4x3Transposed(int, ByteBuffer)

get4x3Transposed
public java.nio.ByteBuffer get4x3Transposed(int index, java.nio.ByteBuffer dest)
Description copied from interface:Matrix4dc
Store the upper 4x3 submatrix ofthis
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.
 Specified by:
get4x3Transposed
in interfaceMatrix4dc
 Parameters:
index
 the absolute position into the ByteBufferdest
 will receive the values of the upper 4x3 submatrix in rowmajor order Returns:
 the passed in buffer

getTransposedFloats
public java.nio.ByteBuffer getTransposedFloats(java.nio.ByteBuffer buffer)
Description copied from interface:Matrix4dc
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
Matrix4dc.getTransposedFloats(int, ByteBuffer)
, taking the absolute position as parameter. Specified by:
getTransposedFloats
in interfaceMatrix4dc
 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:
Matrix4dc.getTransposedFloats(int, ByteBuffer)

getTransposedFloats
public java.nio.ByteBuffer getTransposedFloats(int index, java.nio.ByteBuffer buffer)
Description copied from interface:Matrix4dc
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.
 Specified by:
getTransposedFloats
in interfaceMatrix4dc
 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

zero
public Matrix4d zero()
Set all the values within this matrix to 0. Returns:
 this

scaling
public Matrix4d scaling(double factor)
Set this matrix to be a simple scale matrix, which scales all axes uniformly by the given factor.The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling.
In order to postmultiply a scaling transformation directly to a matrix, use
scale()
instead. Parameters:
factor
 the scale factor in x, y and z Returns:
 this
 See Also:
scale(double)

scaling
public Matrix4d scaling(double x, double y, double z)
Set this matrix to be a simple scale matrix. Parameters:
x
 the scale in xy
 the scale in yz
 the scale in z Returns:
 this

scaling
public Matrix4d scaling(Vector3dc xyz)
Set this matrix to be a simple scale matrix which scales the base axes byxyz.x
,xyz.y
andxyz.z
, respectively.The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling.
In order to postmultiply a scaling transformation directly to a matrix use
scale()
instead. Parameters:
xyz
 the scale in x, y and z, respectively Returns:
 this
 See Also:
scale(Vector3dc)

rotation
public Matrix4d rotation(double angle, double x, double y, double z)
Set this matrix to a rotation matrix which rotates the given radians about a given axis.When used with a 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.
From Wikipedia
 Parameters:
angle
 the angle in radiansx
 the xcoordinate of the axis to rotate abouty
 the ycoordinate of the axis to rotate aboutz
 the zcoordinate of the axis to rotate about Returns:
 this

rotationX
public Matrix4d rotationX(double ang)
Set this matrix to a rotation transformation about the X axis.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.
Reference: http://en.wikipedia.org
 Parameters:
ang
 the angle in radians Returns:
 this

rotationY
public Matrix4d rotationY(double ang)
Set this matrix to a rotation transformation about the Y axis.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.
Reference: http://en.wikipedia.org
 Parameters:
ang
 the angle in radians Returns:
 this

rotationZ
public Matrix4d rotationZ(double ang)
Set this matrix to a rotation transformation about the Z axis.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.
Reference: http://en.wikipedia.org
 Parameters:
ang
 the angle in radians Returns:
 this

rotationTowardsXY
public Matrix4d rotationTowardsXY(double dirX, double dirY)
Set this matrix to a rotation transformation about the Z axis to align the local+X
towards(dirX, dirY)
.The vector
(dirX, dirY)
must be a unit vector. Parameters:
dirX
 the x component of the normalized directiondirY
 the y component of the normalized direction Returns:
 this

rotationXYZ
public Matrix4d rotationXYZ(double angleX, double angleY, double angleZ)
Set this matrix to a 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.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.
This method is equivalent to calling:
rotationX(angleX).rotateY(angleY).rotateZ(angleZ)
 Parameters:
angleX
 the angle to rotate about XangleY
 the angle to rotate about YangleZ
 the angle to rotate about Z Returns:
 this

rotationZYX
public Matrix4d rotationZYX(double angleZ, double angleY, double angleX)
Set this matrix to a 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.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.
This method is equivalent to calling:
rotationZ(angleZ).rotateY(angleY).rotateX(angleX)
 Parameters:
angleZ
 the angle to rotate about ZangleY
 the angle to rotate about YangleX
 the angle to rotate about X Returns:
 this

rotationYXZ
public Matrix4d rotationYXZ(double angleY, double angleX, double angleZ)
Set this matrix to a 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.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.
This method is equivalent to calling:
rotationY(angleY).rotateX(angleX).rotateZ(angleZ)
 Parameters:
angleY
 the angle to rotate about YangleX
 the angle to rotate about XangleZ
 the angle to rotate about Z Returns:
 this

setRotationXYZ
public Matrix4d setRotationXYZ(double angleX, double angleY, double angleZ)
Set only the upper left 3x3 submatrix of this matrix to a 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.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.
 Parameters:
angleX
 the angle to rotate about XangleY
 the angle to rotate about YangleZ
 the angle to rotate about Z Returns:
 this

setRotationZYX
public Matrix4d setRotationZYX(double angleZ, double angleY, double angleX)
Set only the upper left 3x3 submatrix of this matrix to a 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.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.
 Parameters:
angleZ
 the angle to rotate about ZangleY
 the angle to rotate about YangleX
 the angle to rotate about X Returns:
 this

setRotationYXZ
public Matrix4d setRotationYXZ(double angleY, double angleX, double angleZ)
Set only the upper left 3x3 submatrix of this matrix to a 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.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.
 Parameters:
angleY
 the angle to rotate about YangleX
 the angle to rotate about XangleZ
 the angle to rotate about Z Returns:
 this

rotation
public Matrix4d rotation(double angle, Vector3dc axis)
Set this matrix to a rotation matrix which rotates the given radians about a given axis.The axis described by the
axis
vector needs to be a unit vector.When used with a 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.
 Parameters:
angle
 the angle in radiansaxis
 the axis to rotate about Returns:
 this

rotation
public Matrix4d rotation(double angle, Vector3fc axis)
Set this matrix to a rotation matrix which rotates the given radians about a given axis.The axis described by the
axis
vector needs to be a unit vector.When used with a 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.
 Parameters:
angle
 the angle in radiansaxis
 the axis to rotate about Returns:
 this

transform
public Vector4d transform(Vector4d v)
Description copied from interface:Matrix4dc
Transform/multiply the given vector by this matrix and store the result in that vector. Specified by:
transform
in interfaceMatrix4dc
 Parameters:
v
 the vector to transform and to hold the final result Returns:
 v
 See Also:
Vector4d.mul(Matrix4dc)

transform
public Vector4d transform(Vector4dc v, Vector4d dest)
Description copied from interface:Matrix4dc
Transform/multiply the given vector by this matrix and store the result indest
. Specified by:
transform
in interfaceMatrix4dc
 Parameters:
v
 the vector to transformdest
 will contain the result Returns:
 dest
 See Also:
Vector4d.mul(Matrix4dc, Vector4d)

transform
public Vector4d transform(double x, double y, double z, double w, Vector4d dest)
Description copied from interface:Matrix4dc
Transform/multiply the vector(x, y, z, w)
by this matrix and store the result indest
.

transformTranspose
public Vector4d transformTranspose(Vector4d v)
Description copied from interface:Matrix4dc
Transform/multiply the given vector by the transpose of this matrix and store the result in that vector. Specified by:
transformTranspose
in interfaceMatrix4dc
 Parameters:
v
 the vector to transform and to hold the final result Returns:
 v
 See Also:
Vector4d.mulTranspose(Matrix4dc)

transformTranspose
public Vector4d transformTranspose(Vector4dc v, Vector4d dest)
Description copied from interface:Matrix4dc
Transform/multiply the given vector by the transpose of this matrix and store the result indest
. Specified by:
transformTranspose
in interfaceMatrix4dc
 Parameters:
v
 the vector to transform and to hold the final resultdest
 will contain the result Returns:
 dest
 See Also:
Vector4d.mulTranspose(Matrix4dc)

transformTranspose
public Vector4d transformTranspose(double x, double y, double z, double w, Vector4d dest)
Description copied from interface:Matrix4dc
Transform/multiply the vector(x, y, z, w)
by the transpose of this matrix and store the result indest
. Specified by:
transformTranspose
in interfaceMatrix4dc
 Parameters:
x
 the x coordinate of the vector to transformy
 the y coordinate of the vector to transformz
 the z coordinate of the vector to transformw
 the w coordinate of the vector to transformdest
 will contain the result Returns:
 dest

transformProject
public Vector4d transformProject(Vector4d v)
Description copied from interface:Matrix4dc
Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector. Specified by:
transformProject
in interfaceMatrix4dc
 Parameters:
v
 the vector to transform and to hold the final result Returns:
 v
 See Also:
Vector4d.mulProject(Matrix4dc)

transformProject
public Vector4d transformProject(Vector4dc v, Vector4d dest)
Description copied from interface:Matrix4dc
Transform/multiply the given vector by this matrix, perform perspective divide and store the result indest
. Specified by:
transformProject
in interfaceMatrix4dc
 Parameters:
v
 the vector to transformdest
 will contain the result Returns:
 dest
 See Also:
Vector4d.mulProject(Matrix4dc, Vector4d)

transformProject
public Vector4d transformProject(double x, double y, double z, double w, Vector4d dest)
Description copied from interface:Matrix4dc
Transform/multiply the vector(x, y, z, w)
by this matrix, perform perspective divide and store the result indest
. Specified by:
transformProject
in interfaceMatrix4dc
 Parameters:
x
 the x coordinate of the direction to transformy
 the y coordinate of the direction to transformz
 the z coordinate of the direction to transformw
 the w coordinate of the direction to transformdest
 will contain the result Returns:
 dest

transformProject
public Vector3d transformProject(Vector3d v)
Description copied from interface:Matrix4dc
Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.This method uses
w=1.0
as the fourth vector component. Specified by:
transformProject
in interfaceMatrix4dc
 Parameters:
v
 the vector to transform and to hold the final result Returns:
 v
 See Also:
Vector3d.mulProject(Matrix4dc)

transformProject
public Vector3d transformProject(Vector3dc v, Vector3d dest)
Description copied from interface:Matrix4dc
Transform/multiply the given vector by this matrix, perform perspective divide and store the result indest
.This method uses
w=1.0
as the fourth vector component. Specified by:
transformProject
in interfaceMatrix4dc
 Parameters:
v
 the vector to transformdest
 will contain the result Returns:
 dest
 See Also:
Vector3d.mulProject(Matrix4dc, Vector3d)

transformProject
public Vector3d transformProject(double x, double y, double z, Vector3d dest)
Description copied from interface:Matrix4dc
Transform/multiply the vector(x, y, z)
by this matrix, perform perspective divide and store the result indest
.This method uses
w=1.0
as the fourth vector component. Specified by:
transformProject
in interfaceMatrix4dc
 Parameters:
x
 the x coordinate of the vector to transformy
 the y coordinate of the vector to transformz
 the z coordinate of the vector to transformdest
 will contain the result Returns:
 dest

transformProject
public Vector3d transformProject(Vector4dc v, Vector3d dest)
Description copied from interface:Matrix4dc
Transform/multiply the given vector by this matrix, perform perspective divide and store thex
,y
andz
components of the result indest
. Specified by:
transformProject
in interfaceMatrix4dc
 Parameters:
v
 the vector to transformdest
 will contain the result Returns:
 dest
 See Also:
Vector3d.mulProject(Matrix4dc, Vector3d)

transformProject
public Vector3d transformProject(double x, double y, double z, double w, Vector3d dest)
Description copied from interface:Matrix4dc
Transform/multiply the vector(x, y, z, w)
by this matrix, perform perspective divide and store(x, y, z)
of the result indest
. Specified by:
transformProject
in interfaceMatrix4dc
 Parameters:
x
 the x coordinate of the vector to transformy
 the y coordinate of the vector to transformz
 the z coordinate of the vector to transformw
 the w coordinate of the vector to transformdest
 will contain the(x, y, z)
components of the result Returns:
 dest

transformPosition
public Vector3d transformPosition(Vector3d dest)
Description copied from interface:Matrix4dc
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. This method is therefore not suited for perspective projection transformations as it will not save the
w
component of the transformed vector. For perspective projection useMatrix4dc.transform(Vector4d)
orMatrix4dc.transformProject(Vector3d)
when perspective divide should be applied, too.In order to store the result in another vector, use
Matrix4dc.transformPosition(Vector3dc, Vector3d)
. Specified by:
transformPosition
in interfaceMatrix4dc
 Parameters:
dest
 the vector to transform and to hold the final result Returns:
 v
 See Also:
Matrix4dc.transformPosition(Vector3dc, Vector3d)
,Matrix4dc.transform(Vector4d)
,Matrix4dc.transformProject(Vector3d)

transformPosition
public Vector3d transformPosition(Vector3dc v, Vector3d dest)
Description copied from interface:Matrix4dc
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. This method is therefore not suited for perspective projection transformations as it will not save the
w
component of the transformed vector. For perspective projection useMatrix4dc.transform(Vector4dc, Vector4d)
orMatrix4dc.transformProject(Vector3dc, Vector3d)
when perspective divide should be applied, too.In order to store the result in the same vector, use
Matrix4dc.transformPosition(Vector3d)
. Specified by:
transformPosition
in interfaceMatrix4dc
 Parameters:
v
 the vector to transformdest
 will hold the result Returns:
 dest
 See Also:
Matrix4dc.transformPosition(Vector3d)
,Matrix4dc.transform(Vector4dc, Vector4d)
,Matrix4dc.transformProject(Vector3dc, Vector3d)

transformPosition
public Vector3d transformPosition(double x, double y, double z, Vector3d dest)
Description copied from interface:Matrix4dc
Transform/multiply the 3Dvector(x, y, z)
, 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. This method is therefore not suited for perspective projection transformations as it will not save the
w
component of the transformed vector. For perspective projection useMatrix4dc.transform(double, double, double, double, Vector4d)
orMatrix4dc.transformProject(double, double, double, Vector3d)
when perspective divide should be applied, too. Specified by:
transformPosition
in interfaceMatrix4dc
 Parameters:
x
 the x coordinate of the positiony
 the y coordinate of the positionz
 the z coordinate of the positiondest
 will hold the result Returns:
 dest
 See Also:
Matrix4dc.transform(double, double, double, double, Vector4d)
,Matrix4dc.transformProject(double, double, double, Vector3d)

transformDirection
public Vector3d transformDirection(Vector3d dest)
Description copied from interface:Matrix4dc
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
Matrix4dc.transformDirection(Vector3dc, Vector3d)
. Specified by:
transformDirection
in interfaceMatrix4dc
 Parameters:
dest
 the vector to transform and to hold the final result Returns:
 v

transformDirection
public Vector3d transformDirection(Vector3dc v, Vector3d dest)
Description copied from interface:Matrix4dc
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
Matrix4dc.transformDirection(Vector3d)
. Specified by:
transformDirection
in interfaceMatrix4dc
 Parameters:
v
 the vector to transform and to hold the final resultdest
 will hold the result Returns:
 dest

transformDirection
public Vector3d transformDirection(double x, double y, double z, Vector3d dest)
Description copied from interface:Matrix4dc
Transform/multiply the 3Dvector(x, y, z)
, 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. Specified by:
transformDirection
in interfaceMatrix4dc
 Parameters:
x
 the x coordinate of the direction to transformy
 the y coordinate of the direction to transformz
 the z coordinate of the direction to transformdest
 will hold the result Returns:
 dest

transformDirection
public Vector3f transformDirection(Vector3f dest)
Description copied from interface:Matrix4dc
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
Matrix4dc.transformDirection(Vector3fc, Vector3f)
. Specified by:
transformDirection
in interfaceMatrix4dc
 Parameters:
dest
 the vector to transform and to hold the final result Returns:
 v

transformDirection
public Vector3f transformDirection(Vector3fc v, Vector3f dest)
Description copied from interface:Matrix4dc
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
Matrix4dc.transformDirection(Vector3f)
. Specified by:
transformDirection
in interfaceMatrix4dc
 Parameters:
v
 the vector to transform and to hold the final resultdest
 will hold the result Returns:
 dest

transformDirection
public Vector3f transformDirection(double x, double y, double z, Vector3f dest)
Description copied from interface:Matrix4dc
Transform/multiply the 3Dvector(x, y, z)
, 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. Specified by:
transformDirection
in interfaceMatrix4dc
 Parameters:
x
 the x coordinate of the direction to transformy
 the y coordinate of the direction to transformz
 the z coordinate of the direction to transformdest
 will hold the result Returns:
 dest

transformAffine
public Vector4d transformAffine(Vector4d dest)
Description copied from interface:Matrix4dc
Transform/multiply the given 4Dvector by assuming thatthis
matrix represents anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
).In order to store the result in another vector, use
Matrix4dc.transformAffine(Vector4dc, Vector4d)
. Specified by:
transformAffine
in interfaceMatrix4dc
 Parameters:
dest
 the vector to transform and to hold the final result Returns:
 v
 See Also:
Matrix4dc.transformAffine(Vector4dc, Vector4d)

transformAffine
public Vector4d transformAffine(Vector4dc v, Vector4d dest)
Description copied from interface:Matrix4dc
Transform/multiply the given 4Dvector by assuming thatthis
matrix represents anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
) and store the result indest
.In order to store the result in the same vector, use
Matrix4dc.transformAffine(Vector4d)
. Specified by:
transformAffine
in interfaceMatrix4dc
 Parameters:
v
 the vector to transform and to hold the final resultdest
 will hold the result Returns:
 dest
 See Also:
Matrix4dc.transformAffine(Vector4d)

transformAffine
public Vector4d transformAffine(double x, double y, double z, double w, Vector4d dest)
Description copied from interface:Matrix4dc
Transform/multiply the 4Dvector(x, y, z, w)
by assuming thatthis
matrix represents anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
) and store the result indest
. Specified by:
transformAffine
in interfaceMatrix4dc
 Parameters:
x
 the x coordinate of the direction to transformy
 the y coordinate of the direction to transformz
 the z coordinate of the direction to transformw
 the w coordinate of the direction to transformdest
 will hold the result Returns:
 dest

set3x3
public Matrix4d set3x3(Matrix3dc mat)
Set the upper left 3x3 submatrix of thisMatrix4d
to the givenMatrix3dc
and don't change the other elements. Parameters:
mat
 the 3x3 matrix Returns:
 this

scale
public Matrix4d scale(Vector3dc xyz, Matrix4d dest)
Description copied from interface:Matrix4dc
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!

scale
public Matrix4d scale(Vector3dc xyz)
Apply scaling to this matrix by scaling the base axes by the givenxyz.x
,xyz.y
andxyz.z
factors, respectively.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, respectively Returns:
 this

scale
public Matrix4d scale(double x, double y, double z, Matrix4d dest)
Description copied from interface:Matrix4dc
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!

scale
public Matrix4d scale(double x, double y, double z)
Apply scaling tothis
matrix by scaling the base axes by the given x, y and z factors.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 component Returns:
 this

scale
public Matrix4d scale(double xyz, Matrix4d dest)
Description copied from interface:Matrix4dc
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! Specified by:
scale
in interfaceMatrix4dc
 Parameters:
xyz
 the factor for all componentsdest
 will hold the result Returns:
 dest
 See Also:
Matrix4dc.scale(double, double, double, Matrix4d)

scale
public Matrix4d scale(double xyz)
Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor.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 components Returns:
 this
 See Also:
scale(double, double, double)

scaleXY
public Matrix4d scaleXY(double x, double y, Matrix4d dest)
Description copied from interface:Matrix4dc
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!

scaleXY
public Matrix4d scaleXY(double x, double y)
Apply scaling to this matrix by scaling the X axis byx
and the Y axis byy
.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 component Returns:
 this

scaleAround
public Matrix4d scaleAround(double sx, double sy, double sz, double ox, double oy, double oz, Matrix4d dest)
Description copied from interface:Matrix4dc
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)
 Specified by:
scaleAround
in interfaceMatrix4dc
 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
public Matrix4d scaleAround(double sx, double sy, double sz, double ox, double oy, double oz)
Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using(ox, oy, oz)
as the scaling origin.If
M
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).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 origin Returns:
 this

scaleAround
public Matrix4d scaleAround(double factor, double ox, double oy, double oz)
Apply scaling to this matrix by scaling all three base axes by the givenfactor
while using(ox, oy, oz)
as the scaling origin.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).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 origin Returns:
 this

scaleAround
public Matrix4d scaleAround(double factor, double ox, double oy, double oz, Matrix4d dest)
Description copied from interface:Matrix4dc
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)
 Specified by:
scaleAround
in interfaceMatrix4dc
 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
public Matrix4d scaleLocal(double x, double y, double z, Matrix4d dest)
Description copied from interface:Matrix4dc
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! Specified by:
scaleLocal
in interfaceMatrix4dc
 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

scaleLocal
public Matrix4d scaleLocal(double xyz, Matrix4d dest)
Description copied from interface:Matrix4dc
Premultiply scaling tothis
matrix by scaling all base axes by the givenxyz
factor, 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! Specified by:
scaleLocal
in interfaceMatrix4dc
 Parameters:
xyz
 the factor to scale all three base axes bydest
 will hold the result Returns:
 dest

scaleLocal
public Matrix4d scaleLocal(double xyz)
Premultiply scaling to this matrix by scaling the base axes by the given xyz factor.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:
xyz
 the factor of the x, y and z component Returns:
 this

scaleLocal
public Matrix4d scaleLocal(double x, double y, double z)
Premultiply scaling to this matrix by scaling the base axes by the given x, y and z factors.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 component Returns:
 this

scaleAroundLocal
public Matrix4d scaleAroundLocal(double sx, double sy, double sz, double ox, double oy, double oz, Matrix4d dest)
Description copied from interface:Matrix4dc
Premultiply scaling tothis
matrix by scaling the base axes by the given sx, sy and sz factors while using the given(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 beS * M
. So when transforming a vectorv
with the new matrix by usingS * M * v
, the scaling will be applied last!This method is equivalent to calling:
new Matrix4d().translate(ox, oy, oz).scale(sx, sy, sz).translate(ox, oy, oz).mul(this, dest)
 Specified by:
scaleAroundLocal
in interfaceMatrix4dc
 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

scaleAroundLocal
public Matrix4d scaleAroundLocal(double sx, double sy, double sz, double ox, double oy, double oz)
Premultiply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using(ox, oy, oz)
as the scaling origin.If
M
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!This method is equivalent to calling:
new Matrix4d().translate(ox, oy, oz).scale(sx, sy, sz).translate(ox, oy, oz).mul(this, this)
 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 origin Returns:
 this

scaleAroundLocal
public Matrix4d scaleAroundLocal(double factor, double ox, double oy, double oz)
Premultiply scaling to this matrix by scaling all three base axes by the givenfactor
while using(ox, oy, oz)
as the scaling origin.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!This method is equivalent to calling:
new Matrix4d().translate(ox, oy, oz).scale(factor).translate(ox, oy, oz).mul(this, this)
 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 origin Returns:
 this

scaleAroundLocal
public Matrix4d scaleAroundLocal(double factor, double ox, double oy, double oz, Matrix4d dest)
Description copied from interface:Matrix4dc
Premultiply 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 beS * M
. So when transforming a vectorv
with the new matrix by usingS * M * v
, the scaling will be applied last!This method is equivalent to calling:
new Matrix4d().translate(ox, oy, oz).scale(factor).translate(ox, oy, oz).mul(this, dest)
 Specified by:
scaleAroundLocal
in interfaceMatrix4dc
 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

rotate
public Matrix4d rotate(double ang, double x, double y, double z, Matrix4d dest)
Description copied from interface:Matrix4dc
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!

rotate
public Matrix4d rotate(double ang, double x, double y, double z)
Apply rotation to this matrix by rotating the given amount of radians about the given axis specified as x, y and z components.When used with a 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!In order to set the matrix to a rotation matrix without postmultiplying the rotation transformation, use
rotation()
. Parameters:
ang
 the angle is in radiansx
 the x component of the axisy
 the y component of the axisz
 the z component of the axis Returns:
 this
 See Also:
rotation(double, double, double, double)

rotateTranslation
public Matrix4d rotateTranslation(double ang, double x, double y, double z, Matrix4d 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!In order to set the matrix to a rotation matrix without postmultiplying the rotation transformation, use
rotation()
.Reference: http://en.wikipedia.org
 Specified by:
rotateTranslation
in interfaceMatrix4dc
 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
 See Also:
rotation(double, double, double, double)

rotateAffine
public Matrix4d rotateAffine(double ang, double x, double y, double z, Matrix4d dest)
Apply rotation to thisaffine
matrix by rotating the given amount of radians about the specified(x, y, z)
axis and store the result indest
.This method assumes
this
to beaffine
.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!In order to set the matrix to a rotation matrix without postmultiplying the rotation transformation, use
rotation()
.Reference: http://en.wikipedia.org
 Specified by:
rotateAffine
in interfaceMatrix4dc
 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
 See Also:
rotation(double, double, double, double)

rotateAffine
public Matrix4d rotateAffine(double ang, double x, double y, double z)
Apply rotation to thisaffine
matrix by rotating the given amount of radians about the specified(x, y, z)
axis.This method assumes
this
to beaffine
.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!In order to set the matrix to a rotation matrix without postmultiplying the rotation transformation, use
rotation()
.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 axis Returns:
 this
 See Also:
rotation(double, double, double, double)

rotateAround
public Matrix4d rotateAround(Quaterniondc quat, double ox, double oy, double oz)
Apply the rotation transformation of the givenQuaterniondc
to this matrix while using(ox, oy, oz)
as the rotation origin.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).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 origin Returns:
 this

rotateAroundAffine
public Matrix4d rotateAroundAffine(Quaterniondc quat, double ox, double oy, double oz, Matrix4d dest)
Description copied from interface:Matrix4dc
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to thisaffine
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 only applicable if
this
is anaffine
matrix.This method is equivalent to calling:
translate(ox, oy, oz, dest).rotate(quat).translate(ox, oy, oz)
Reference: http://en.wikipedia.org
 Specified by:
rotateAroundAffine
in interfaceMatrix4dc
 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

rotateAround
public Matrix4d rotateAround(Quaterniondc quat, double ox, double oy, double oz, Matrix4d dest)
Description copied from interface:Matrix4dc
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
 Specified by:
rotateAround
in interfaceMatrix4dc
 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

rotationAround
public Matrix4d rotationAround(Quaterniondc quat, double ox, double oy, double oz)
Set this matrix to a transformation composed of a rotation of the specifiedQuaterniondc
while using(ox, oy, oz)
as the rotation origin.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.
This method is equivalent to calling:
translation(ox, oy, oz).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 origin Returns:
 this

rotateLocal
public Matrix4d rotateLocal(double ang, double x, double y, double z, Matrix4d 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!In order to set the matrix to a rotation matrix without premultiplying the rotation transformation, use
rotation()
.Reference: http://en.wikipedia.org
 Specified by:
rotateLocal
in interfaceMatrix4dc
 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
 See Also:
rotation(double, double, double, double)

rotateLocal
public Matrix4d rotateLocal(double ang, double x, double y, double z)
Premultiply a rotation to this matrix by rotating the given amount of radians about the specified(x, y, z)
axis.The axis described by the three components needs to be a unit vector.
When used with a 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!In order to set the matrix to a rotation matrix without premultiplying the rotation transformation, use
rotation()
.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 axis Returns:
 this
 See Also:
rotation(double, double, double, double)

rotateAroundLocal
public Matrix4d rotateAroundLocal(Quaterniondc quat, double ox, double oy, double oz, Matrix4d dest)
Description copied from interface:Matrix4dc
Premultiply 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 beQ * M
. So when transforming a vectorv
with the new matrix by usingQ * M * v
, the quaternion rotation will be applied last!This method is equivalent to calling:
translateLocal(ox, oy, oz, dest).rotateLocal(quat).translateLocal(ox, oy, oz)
Reference: http://en.wikipedia.org
 Specified by:
rotateAroundLocal
in interfaceMatrix4dc
 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

rotateAroundLocal
public Matrix4d rotateAroundLocal(Quaterniondc quat, double ox, double oy, double oz)
Premultiply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix while using(ox, oy, oz)
as the rotation origin.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!This method is equivalent to calling:
translateLocal(ox, oy, oz).rotateLocal(quat).translateLocal(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 origin Returns:
 this

translate
public Matrix4d translate(Vector3dc offset)
Apply a translation to this matrix by translating by the given number of units in x, y and z.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!In order to set the matrix to a translation transformation without postmultiplying it, use
translation(Vector3dc)
. Parameters:
offset
 the number of units in x, y and z by which to translate Returns:
 this
 See Also:
translation(Vector3dc)

translate
public Matrix4d translate(Vector3dc offset, Matrix4d 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!In order to set the matrix to a translation transformation without postmultiplying it, use
translation(Vector3dc)
. Specified by:
translate
in interfaceMatrix4dc
 Parameters:
offset
 the number of units in x, y and z by which to translatedest
 will hold the result Returns:
 dest
 See Also:
translation(Vector3dc)

translate
public Matrix4d translate(Vector3fc offset)
Apply a translation to this matrix by translating by the given number of units in x, y and z.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!In order to set the matrix to a translation transformation without postmultiplying it, use
translation(Vector3fc)
. Parameters:
offset
 the number of units in x, y and z by which to translate Returns:
 this
 See Also:
translation(Vector3fc)

translate
public Matrix4d translate(Vector3fc offset, Matrix4d 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!In order to set the matrix to a translation transformation without postmultiplying it, use
translation(Vector3fc)
. Specified by:
translate
in interfaceMatrix4dc
 Parameters:
offset
 the number of units in x, y and z by which to translatedest
 will hold the result Returns:
 dest
 See Also:
translation(Vector3fc)

translate
public Matrix4d translate(double x, double y, double z, Matrix4d 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!In order to set the matrix to a translation transformation without postmultiplying it, use
translation(double, double, double)
. Specified by:
translate
in interfaceMatrix4dc
 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
 See Also:
translation(double, double, double)

translate
public Matrix4d translate(double x, double y, double z)
Apply a translation to this matrix by translating by the given number of units in x, y and z.If
M
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!In order to set the matrix to a translation transformation without postmultiplying it, use
translation(double, double, double)
. Parameters:
x
 the offset to translate in xy
 the offset to translate in yz
 the offset to translate in z Returns:
 this
 See Also:
translation(double, double, double)

translateLocal
public Matrix4d translateLocal(Vector3fc offset)
Premultiply a translation to this matrix by translating by the given number of units in x, y and z.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!In order to set the matrix to a translation transformation without premultiplying it, use
translation(Vector3fc)
. Parameters:
offset
 the number of units in x, y and z by which to translate Returns:
 this
 See Also:
translation(Vector3fc)

translateLocal
public Matrix4d translateLocal(Vector3fc offset, Matrix4d 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!In order to set the matrix to a translation transformation without premultiplying it, use
translation(Vector3fc)
. Specified by:
translateLocal
in interfaceMatrix4dc
 Parameters:
offset
 the number of units in x, y and z by which to translatedest
 will hold the result Returns:
 dest
 See Also:
translation(Vector3fc)

translateLocal
public Matrix4d translateLocal(Vector3dc offset)
Premultiply a translation to this matrix by translating by the given number of units in x, y and z.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!In order to set the matrix to a translation transformation without premultiplying it, use
translation(Vector3dc)
. Parameters:
offset
 the number of units in x, y and z by which to translate Returns:
 this
 See Also:
translation(Vector3dc)

translateLocal
public Matrix4d translateLocal(Vector3dc offset, Matrix4d 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!In order to set the matrix to a translation transformation without premultiplying it, use
translation(Vector3dc)
. Specified by:
translateLocal
in interfaceMatrix4dc
 Parameters:
offset
 the number of units in x, y and z by which to translatedest
 will hold the result Returns:
 dest
 See Also:
translation(Vector3dc)

translateLocal
public Matrix4d translateLocal(double x, double y, double z, Matrix4d 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!In order to set the matrix to a translation transformation without premultiplying it, use
translation(double, double, double)
. Specified by:
translateLocal
in interfaceMatrix4dc
 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
 See Also:
translation(double, double, double)

translateLocal
public Matrix4d translateLocal(double x, double y, double z)
Premultiply a translation to this matrix by translating by the given number of units in x, y and z.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!In order to set the matrix to a translation transformation without premultiplying it, use
translation(double, double, double)
. Parameters:
x
 the offset to translate in xy
 the offset to translate in yz
 the offset to translate in z Returns:
 this
 See Also:
translation(double, double, double)

rotateLocalX
public Matrix4d rotateLocalX(double ang, Matrix4d dest)
Premultiply a rotation around the X axis to this matrix by rotating the given amount of 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 beR * M
. So when transforming a vectorv
with the new matrix by usingR * M * v
, the rotation will be applied last!In order to set the matrix to a rotation matrix without premultiplying the rotation transformation, use
rotationX()
.Reference: http://en.wikipedia.org
 Specified by:
rotateLocalX
in interfaceMatrix4dc
 Parameters:
ang
 the angle in radians to rotate about the X axisdest
 will hold the result Returns:
 dest
 See Also:
rotationX(double)

rotateLocalX
public Matrix4d rotateLocalX(double ang)
Premultiply a rotation to this matrix by rotating the given amount of radians about the X axis.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!In order to set the matrix to a rotation matrix without premultiplying the rotation transformation, use
rotationX()
.Reference: http://en.wikipedia.org
 Parameters:
ang
 the angle in radians to rotate about the X axis Returns:
 this
 See Also:
rotationX(double)

rotateLocalY
public Matrix4d rotateLocalY(double ang, Matrix4d dest)
Premultiply a rotation around the Y axis to this matrix by rotating the given amount of radians about the Y 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 beR * M
. So when transforming a vectorv
with the new matrix by usingR * M * v
, the rotation will be applied last!In order to set the matrix to a rotation matrix without premultiplying the rotation transformation, use
rotationY()
.Reference: http://en.wikipedia.org
 Specified by:
rotateLocalY
in interfaceMatrix4dc
 Parameters:
ang
 the angle in radians to rotate about the Y axisdest
 will hold the result Returns:
 dest
 See Also:
rotationY(double)

rotateLocalY
public Matrix4d rotateLocalY(double ang)
Premultiply a rotation to this matrix by rotating the given amount of radians about the Y axis.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!In order to set the matrix to a rotation matrix without premultiplying the rotation transformation, use
rotationY()
.Reference: http://en.wikipedia.org
 Parameters:
ang
 the angle in radians to rotate about the Y axis Returns:
 this
 See Also:
rotationY(double)

rotateLocalZ
public Matrix4d rotateLocalZ(double ang, Matrix4d dest)
Premultiply a rotation around the Z axis to this matrix by rotating the given amount of 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 beR * M
. So when transforming a vectorv
with the new matrix by usingR * M * v
, the rotation will be applied last!In order to set the matrix to a rotation matrix without premultiplying the rotation transformation, use
rotationZ()
.Reference: http://en.wikipedia.org
 Specified by:
rotateLocalZ
in interfaceMatrix4dc
 Parameters:
ang
 the angle in radians to rotate about the Z axisdest
 will hold the result Returns:
 dest
 See Also:
rotationZ(double)

rotateLocalZ
public Matrix4d rotateLocalZ(double ang)
Premultiply a rotation to this matrix by rotating the given amount of radians about the Z axis.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!In order to set the matrix to a rotation matrix without premultiplying the rotation transformation, use
rotationY()
.Reference: http://en.wikipedia.org
 Parameters:
ang
 the angle in radians to rotate about the Z axis Returns:
 this
 See Also:
rotationY(double)

writeExternal
public void writeExternal(java.io.ObjectOutput out) throws java.io.IOException
 Specified by:
writeExternal
in interfacejava.io.Externalizable
 Throws:
java.io.IOException

readExternal
public void readExternal(java.io.ObjectInput in) throws java.io.IOException
 Specified by:
readExternal
in interfacejava.io.Externalizable
 Throws:
java.io.IOException

rotateX
public Matrix4d rotateX(double ang, Matrix4d dest)
Description copied from interface:Matrix4dc
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

rotateX
public Matrix4d rotateX(double ang)
Apply rotation about the X axis to this matrix by rotating the given amount of radians.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 radians Returns:
 this

rotateY
public Matrix4d rotateY(double ang, Matrix4d dest)
Description copied from interface:Matrix4dc
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

rotateY
public Matrix4d rotateY(double ang)
Apply rotation about the Y axis to this matrix by rotating the given amount of radians.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 radians Returns:
 this

rotateZ
public Matrix4d rotateZ(double ang, Matrix4d dest)
Description copied from interface:Matrix4dc
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

rotateZ
public Matrix4d rotateZ(double ang)
Apply rotation about the Z axis to this matrix by rotating the given amount of radians.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 radians Returns:
 this

rotateTowardsXY
public Matrix4d rotateTowardsXY(double dirX, double dirY)
Apply rotation about the Z axis to align the local+X
towards(dirX, dirY)
.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!The vector
(dirX, dirY)
must be a unit vector. Parameters:
dirX
 the x component of the normalized directiondirY
 the y component of the normalized direction Returns:
 this

rotateTowardsXY
public Matrix4d rotateTowardsXY(double dirX, double dirY, Matrix4d dest)
Description copied from interface:Matrix4dc
Apply rotation about the Z axis to align the local+X
towards(dirX, dirY)
and store the result indest
.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!The vector
(dirX, dirY)
must be a unit vector. Specified by:
rotateTowardsXY
in interfaceMatrix4dc
 Parameters:
dirX
 the x component of the normalized directiondirY
 the y component of the normalized directiondest
 will hold the result Returns:
 this

rotateXYZ
public Matrix4d rotateXYZ(Vector3d angles)
Apply rotation ofangles.x
radians about the X axis, followed by a rotation ofangles.y
radians about the Y axis and followed by a rotation ofangles.z
radians about the Z axis.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(angles.x).rotateY(angles.y).rotateZ(angles.z)
 Parameters:
angles
 the Euler angles Returns:
 this

rotateXYZ
public Matrix4d rotateXYZ(double angleX, double angleY, double angleZ)
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.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).rotateY(angleY).rotateZ(angleZ)
 Parameters:
angleX
 the angle to rotate about XangleY
 the angle to rotate about YangleZ
 the angle to rotate about Z Returns:
 this

rotateXYZ
public Matrix4d rotateXYZ(double angleX, double angleY, double angleZ, Matrix4d dest)
Description copied from interface:Matrix4dc
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)

rotateAffineXYZ
public Matrix4d rotateAffineXYZ(double angleX, double angleY, double angleZ)
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.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.
This method assumes that
this
matrix represents anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).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).rotateY(angleY).rotateZ(angleZ)
 Parameters:
angleX
 the angle to rotate about XangleY
 the angle to rotate about YangleZ
 the angle to rotate about Z Returns:
 this

rotateAffineXYZ
public Matrix4d rotateAffineXYZ(double angleX, double angleY, double angleZ, Matrix4d dest)
Description copied from interface:Matrix4dc
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.
This method assumes that
this
matrix represents anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).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! Specified by:
rotateAffineXYZ
in interfaceMatrix4dc
 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
public Matrix4d rotateZYX(Vector3d angles)
Apply rotation ofangles.z
radians about the Z axis, followed by a rotation ofangles.y
radians about the Y axis and followed by a rotation ofangles.x
radians about the X axis.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(angles.z).rotateY(angles.y).rotateX(angles.x)
 Parameters:
angles
 the Euler angles Returns:
 this

rotateZYX
public Matrix4d rotateZYX(double angleZ, double angleY, double angleX)
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.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).rotateY(angleY).rotateX(angleX)
 Parameters:
angleZ
 the angle to rotate about ZangleY
 the angle to rotate about YangleX
 the angle to rotate about X Returns:
 this

rotateZYX
public Matrix4d rotateZYX(double angleZ, double angleY, double angleX, Matrix4d dest)
Description copied from interface:Matrix4dc
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)

rotateAffineZYX
public Matrix4d rotateAffineZYX(double angleZ, double angleY, double angleX)
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.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.
This method assumes that
this
matrix represents anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).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:
angleZ
 the angle to rotate about ZangleY
 the angle to rotate about YangleX
 the angle to rotate about X Returns:
 this

rotateAffineZYX
public Matrix4d rotateAffineZYX(double angleZ, double angleY, double angleX, Matrix4d dest)
Description copied from interface:Matrix4dc
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.
This method assumes that
this
matrix represents anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).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! Specified by:
rotateAffineZYX
in interfaceMatrix4dc
 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
public Matrix4d rotateYXZ(Vector3d angles)
Apply rotation ofangles.y
radians about the Y axis, followed by a rotation ofangles.x
radians about the X axis and followed by a rotation ofangles.z
radians about the Z axis.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(angles.y).rotateX(angles.x).rotateZ(angles.z)
 Parameters:
angles
 the Euler angles Returns:
 this

rotateYXZ
public Matrix4d rotateYXZ(double angleY, double angleX, double angleZ)
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.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).rotateX(angleX).rotateZ(angleZ)
 Parameters:
angleY
 the angle to rotate about YangleX
 the angle to rotate about XangleZ
 the angle to rotate about Z Returns:
 this

rotateYXZ
public Matrix4d rotateYXZ(double angleY, double angleX, double angleZ, Matrix4d dest)
Description copied from interface:Matrix4dc
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)

rotateAffineYXZ
public Matrix4d rotateAffineYXZ(double angleY, double angleX, double angleZ)
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.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.
This method assumes that
this
matrix represents anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).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:
angleY
 the angle to rotate about YangleX
 the angle to rotate about XangleZ
 the angle to rotate about Z Returns:
 this

rotateAffineYXZ
public Matrix4d rotateAffineYXZ(double angleY, double angleX, double angleZ, Matrix4d dest)
Description copied from interface:Matrix4dc
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.
This method assumes that
this
matrix represents anaffine
transformation (i.e. its last row is equal to(0, 0, 0, 1)
) and can be used to speed up matrix multiplication if the matrix only represents affine transformations, such as translation, rotation, scaling and shearing (in any combination).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! Specified by:
rotateAffineYXZ
in interfaceMatrix4dc
 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

rotation
public Matrix4d rotation(AxisAngle4f angleAxis)
Set this matrix to a rotation transformation using the givenAxisAngle4f
.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.
The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.
In order to apply the rotation transformation to an existing transformation, use
rotate()
instead.Reference: http://en.wikipedia.org
 Parameters:
angleAxis
 theAxisAngle4f
(needs to benormalized
) Returns:
 this
 See Also:
rotate(AxisAngle4f)

rotation
public Matrix4d rotation(AxisAngle4d angleAxis)
Set this matrix to a rotation transformation using the givenAxisAngle4d
.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.
The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.
In order to apply the rotation transformation to an existing transformation, use
rotate()
instead.Reference: http://en.wikipedia.org
 Parameters:
angleAxis
 theAxisAngle4d
(needs to benormalized
) Returns:
 this
 See Also:
rotate(AxisAngle4d)

rotation
public Matrix4d rotation(Quaterniondc quat)
Set this matrix to the rotation  and possibly scaling  transformation of the givenQuaterniondc
.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.
The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.
In order to apply the rotation transformation to an existing transformation, use
rotate()
instead.Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaterniondc
 Returns:
 this
 See Also:
rotate(Quaterniondc)

rotation
public Matrix4d rotation(Quaternionfc quat)
Set this matrix to the rotation  and possibly scaling  transformation of the givenQuaternionfc
.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.
The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.
In order to apply the rotation transformation to an existing transformation, use
rotate()
instead.Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaternionfc
 Returns:
 this
 See Also:
rotate(Quaternionfc)

translationRotateScale
public Matrix4d translationRotateScale(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double sx, double sy, double sz)
Setthis
matrix toT * R * S
, whereT
is a translation by the given(tx, ty, tz)
,R
is a rotation transformation specified by the quaternion(qx, qy, qz, qw)
, andS
is a scaling transformation which scales the three axes x, y and z by(sx, sy, sz)
.When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
When used with a 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.
This method is equivalent to calling:
translation(tx, ty, tz).rotate(quat).scale(sx, sy, sz)
 Parameters:
tx
 the number of units by which to translate the xcomponentty
 the number of units by which to translate the ycomponenttz
 the number of units by which to translate the zcomponentqx
 the xcoordinate of the vector part of the quaternionqy
 the ycoordinate of the vector part of the quaternionqz
 the zcoordinate of the vector part of the quaternionqw
 the scalar part of the quaternionsx
 the scaling factor for the xaxissy
 the scaling factor for the yaxissz
 the scaling factor for the zaxis Returns:
 this
 See Also:
translation(double, double, double)
,rotate(Quaterniondc)
,scale(double, double, double)

translationRotateScale
public Matrix4d translationRotateScale(Vector3fc translation, Quaternionfc quat, Vector3fc scale)
Setthis
matrix toT * R * S
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales the axes byscale
.When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
When used with a 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.
This method is equivalent to calling:
translation(translation).rotate(quat).scale(scale)
 Parameters:
translation
 the translationquat
 the quaternion representing a rotationscale
 the scaling factors Returns:
 this
 See Also:
translation(Vector3fc)
,rotate(Quaternionfc)

translationRotateScale
public Matrix4d translationRotateScale(Vector3dc translation, Quaterniondc quat, Vector3dc scale)
Setthis
matrix toT * R * S
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales the axes byscale
.When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
When used with a 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.
This method is equivalent to calling:
translation(translation).rotate(quat).scale(scale)
 Parameters:
translation
 the translationquat
 the quaternion representing a rotationscale
 the scaling factors Returns:
 this
 See Also:
translation(Vector3dc)
,rotate(Quaterniondc)
,scale(Vector3dc)

translationRotateScale
public Matrix4d translationRotateScale(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double scale)
Setthis
matrix toT * R * S
, whereT
is a translation by the given(tx, ty, tz)
,R
is a rotation transformation specified by the quaternion(qx, qy, qz, qw)
, andS
is a scaling transformation which scales all three axes byscale
.When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
When used with a 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.
This method is equivalent to calling:
translation(tx, ty, tz).rotate(quat).scale(scale)
 Parameters:
tx
 the number of units by which to translate the xcomponentty
 the number of units by which to translate the ycomponenttz
 the number of units by which to translate the zcomponentqx
 the xcoordinate of the vector part of the quaternionqy
 the ycoordinate of the vector part of the quaternionqz
 the zcoordinate of the vector part of the quaternionqw
 the scalar part of the quaternionscale
 the scaling factor for all three axes Returns:
 this
 See Also:
translation(double, double, double)
,rotate(Quaterniondc)
,scale(double)

translationRotateScale
public Matrix4d translationRotateScale(Vector3dc translation, Quaterniondc quat, double scale)
Setthis
matrix toT * R * S
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales all three axes byscale
.When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
When used with a 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.
This method is equivalent to calling:
translation(translation).rotate(quat).scale(scale)
 Parameters:
translation
 the translationquat
 the quaternion representing a rotationscale
 the scaling factors Returns:
 this
 See Also:
translation(Vector3dc)
,rotate(Quaterniondc)
,scale(double)

translationRotateScale
public Matrix4d translationRotateScale(Vector3fc translation, Quaternionfc quat, double scale)
Setthis
matrix toT * R * S
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales all three axes byscale
.When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
When used with a 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.
This method is equivalent to calling:
translation(translation).rotate(quat).scale(scale)
 Parameters:
translation
 the translationquat
 the quaternion representing a rotationscale
 the scaling factors Returns:
 this
 See Also:
translation(Vector3fc)
,rotate(Quaternionfc)
,scale(double)

translationRotateScaleInvert
public Matrix4d translationRotateScaleInvert(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double sx, double sy, double sz)
Setthis
matrix to(T * R * S)^{1}
, whereT
is a translation by the given(tx, ty, tz)
,R
is a rotation transformation specified by the quaternion(qx, qy, qz, qw)
, andS
is a scaling transformation which scales the three axes x, y and z by(sx, sy, sz)
.This method is equivalent to calling:
translationRotateScale(...).invert()
 Parameters:
tx
 the number of units by which to translate the xcomponentty
 the number of units by which to translate the ycomponenttz
 the number of units by which to translate the zcomponentqx
 the xcoordinate of the vector part of the quaternionqy
 the ycoordinate of the vector part of the quaternionqz
 the zcoordinate of the vector part of the quaternionqw
 the scalar part of the quaternionsx
 the scaling factor for the xaxissy
 the scaling factor for the yaxissz
 the scaling factor for the zaxis Returns:
 this
 See Also:
translationRotateScale(double, double, double, double, double, double, double, double, double, double)
,invert()

translationRotateScaleInvert
public Matrix4d translationRotateScaleInvert(Vector3dc translation, Quaterniondc quat, Vector3dc scale)
Setthis
matrix to(T * R * S)^{1}
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales the axes byscale
.This method is equivalent to calling:
translationRotateScale(...).invert()
 Parameters:
translation
 the translationquat
 the quaternion representing a rotationscale
 the scaling factors Returns:
 this
 See Also:
translationRotateScale(Vector3dc, Quaterniondc, Vector3dc)
,invert()

translationRotateScaleInvert
public Matrix4d translationRotateScaleInvert(Vector3fc translation, Quaternionfc quat, Vector3fc scale)
Setthis
matrix to(T * R * S)^{1}
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales the axes byscale
.This method is equivalent to calling:
translationRotateScale(...).invert()
 Parameters:
translation
 the translationquat
 the quaternion representing a rotationscale
 the scaling factors Returns:
 this
 See Also:
translationRotateScale(Vector3fc, Quaternionfc, Vector3fc)
,invert()

translationRotateScaleInvert
public Matrix4d translationRotateScaleInvert(Vector3dc translation, Quaterniondc quat, double scale)
Setthis
matrix to(T * R * S)^{1}
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales all three axes byscale
.This method is equivalent to calling:
translationRotateScale(...).invert()
 Parameters:
translation
 the translationquat
 the quaternion representing a rotationscale
 the scaling factors Returns:
 this
 See Also:
translationRotateScale(Vector3dc, Quaterniondc, double)
,invert()

translationRotateScaleInvert
public Matrix4d translationRotateScaleInvert(Vector3fc translation, Quaternionfc quat, double scale)
Setthis
matrix to(T * R * S)^{1}
, whereT
is the giventranslation
,R
is a rotation transformation specified by the given quaternion, andS
is a scaling transformation which scales all three axes byscale
.This method is equivalent to calling:
translationRotateScale(...).invert()
 Parameters:
translation
 the translationquat
 the quaternion representing a rotationscale
 the scaling factors Returns:
 this
 See Also:
translationRotateScale(Vector3fc, Quaternionfc, double)
,invert()

translationRotateScaleMulAffine
public Matrix4d translationRotateScaleMulAffine(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double sx, double sy, double sz, Matrix4d m)
Setthis
matrix toT * R * S * M
, whereT
is a translation by the given(tx, ty, tz)
,R
is a rotation  and possibly scaling  transformation specified by the quaternion(qx, qy, qz, qw)
,S
is a scaling transformation which scales the three axes x, y and z by(sx, sy, sz)
andM
is anaffine
matrix.When transforming a vector by the resulting matrix the transformation described by
M
will be applied first, then the scaling, then rotation and at last the translation.When used with a 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.
This method is equivalent to calling:
translation(tx, ty, tz).rotate(quat).scale(sx, sy, sz).mulAffine(m)
 Parameters:
tx
 the number of units by which to translate the xcomponentty
 the number of units by which to translate the ycomponenttz
 the number of units by which to translate the zcomponentqx
 the xcoordinate of the vector part of the quaternionqy
 the ycoordinate of the vector part of the quaternionqz
 the zcoordinate of the vector part of the quaternionqw
 the scalar part of the quaternionsx
 the scaling factor for the xaxissy
 the scaling factor for the yaxissz
 the scaling factor for the zaxism
 theaffine
matrix to multiply by Returns:
 this
 See Also:
translation(double, double, double)
,rotate(Quaterniondc)
,scale(double, double, double)
,mulAffine(Matrix4dc)

translationRotateScaleMulAffine
public Matrix4d translationRotateScaleMulAffine(Vector3fc translation, Quaterniondc quat, Vector3fc scale, Matrix4d m)
Setthis
matrix toT * R * S * M
, whereT
is the giventranslation
,R
is a rotation  and possibly scaling  transformation specified by the given quaternion,S
is a scaling transformation which scales the axes byscale
andM
is anaffine
matrix.When transforming a vector by the resulting matrix the transformation described by
M
will be applied first, then the scaling, then rotation and at last the translation.When used with a 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.
This method is equivalent to calling:
translation(translation).rotate(quat).scale(scale).mulAffine(m)
 Parameters:
translation
 the translationquat
 the quaternion representing a rotationscale
 the scaling factorsm
 theaffine
matrix to multiply by Returns:
 this
 See Also:
translation(Vector3fc)
,rotate(Quaterniondc)
,mulAffine(Matrix4dc)

translationRotate
public Matrix4d translationRotate(double tx, double ty, double tz, double qx, double qy, double qz, double qw)
Setthis
matrix toT * R
, whereT
is a translation by the given(tx, ty, tz)
andR
is a rotation  and possibly scaling  transformation specified by the quaternion(qx, qy, qz, qw)
.When transforming a vector by the resulting matrix the rotation  and possibly scaling  transformation will be applied first and then the translation.
When used with a 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.
This method is equivalent to calling:
translation(tx, ty, tz).rotate(quat)
 Parameters:
tx
 the number of units by which to translate the xcomponentty
 the number of units by which to translate the ycomponenttz
 the number of units by which to translate the zcomponentqx
 the xcoordinate of the vector part of the quaternionqy
 the ycoordinate of the vector part of the quaternionqz
 the zcoordinate of the vector part of the quaternionqw
 the scalar part of the quaternion Returns:
 this
 See Also:
translation(double, double, double)
,rotate(Quaterniondc)

translationRotate
public Matrix4d translationRotate(double tx, double ty, double tz, Quaterniondc quat)
Setthis
matrix toT * R
, whereT
is a translation by the given(tx, ty, tz)
andR
is a rotation  and possibly scaling  transformation specified by the given quaternion.When transforming a vector by the resulting matrix the rotation  and possibly scaling  transformation will be applied first and then the translation.
When used with a 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.
This method is equivalent to calling:
translation(tx, ty, tz).rotate(quat)
 Parameters:
tx
 the number of units by which to translate the xcomponentty
 the number of units by which to translate the ycomponenttz
 the number of units by which to translate the zcomponentquat
 the quaternion representing a rotation Returns:
 this
 See Also:
translation(double, double, double)
,rotate(Quaterniondc)

translationRotate
public Matrix4d translationRotate(Vector3dc translation, Quaterniondc quat)
Setthis
matrix toT * R
, whereT
is the giventranslation
andR
is a rotation transformation specified by the given quaternion.When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
When used with a 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.
This method is equivalent to calling:
translation(translation).rotate(quat)
 Parameters:
translation
 the translationquat
 the quaternion representing a rotation Returns:
 this
 See Also:
translation(Vector3dc)
,rotate(Quaterniondc)

translationRotateInvert
public Matrix4d translationRotateInvert(double tx, double ty, double tz, double qx, double qy, double qz, double qw)
Setthis
matrix to(T * R)^{1}
, whereT
is a translation by the given(tx, ty, tz)
andR
is a rotation transformation specified by the quaternion(qx, qy, qz, qw)
.This method is equivalent to calling:
translationRotate(...).invert()
 Parameters:
tx
 the number of units by which to translate the xcomponentty
 the number of units by which to translate the ycomponenttz
 the number of units by which to translate the zcomponentqx
 the xcoordinate of the vector part of the quaternionqy
 the ycoordinate of the vector part of the quaternionqz
 the zcoordinate of the vector part of the quaternionqw
 the scalar part of the quaternion Returns:
 this
 See Also:
translationRotate(double, double, double, double, double, double, double)
,invert()

translationRotateInvert
public Matrix4d translationRotateInvert(Vector3fc translation, Quaternionfc quat)
Setthis
matrix to(T * R)^{1}
, whereT
is the giventranslation
andR
is a rotation transformation specified by the given quaternion.This method is equivalent to calling:
translationRotate(...).invert()
 Parameters:
translation
 the translationquat
 the quaternion representing a rotation Returns:
 this
 See Also:
translationRotate(Vector3dc, Quaterniondc)
,invert()

rotate
public Matrix4d rotate(Quaterniondc quat, Matrix4d 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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(Quaterniondc)
.Reference: http://en.wikipedia.org
 Specified by:
rotate
in interfaceMatrix4dc
 Parameters:
quat
 theQuaterniondc
dest
 will hold the result Returns:
 dest
 See Also:
rotation(Quaterniondc)

rotate
public Matrix4d rotate(Quaternionfc quat, Matrix4d 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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(Quaternionfc)
.Reference: http://en.wikipedia.org
 Specified by:
rotate
in interfaceMatrix4dc
 Parameters:
quat
 theQuaternionfc
dest
 will hold the result Returns:
 dest
 See Also:
rotation(Quaternionfc)

rotate
public Matrix4d rotate(Quaterniondc quat)
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix.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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(Quaterniondc)
.Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaterniondc
 Returns:
 this
 See Also:
rotation(Quaterniondc)

rotate
public Matrix4d rotate(Quaternionfc quat)
Apply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix.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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(Quaternionfc)
.Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaternionfc
 Returns:
 this
 See Also:
rotation(Quaternionfc)

rotateAffine
public Matrix4d rotateAffine(Quaterniondc quat, Matrix4d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to thisaffine
matrix and store the result indest
.This method assumes
this
to beaffine
.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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(Quaterniondc)
.Reference: http://en.wikipedia.org
 Specified by:
rotateAffine
in interfaceMatrix4dc
 Parameters:
quat
 theQuaterniondc
dest
 will hold the result Returns:
 dest
 See Also:
rotation(Quaterniondc)

rotateAffine
public Matrix4d rotateAffine(Quaterniondc quat)
Apply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix.This method assumes
this
to beaffine
.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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(Quaterniondc)
.Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaterniondc
 Returns:
 this
 See Also:
rotation(Quaterniondc)

rotateTranslation
public Matrix4d rotateTranslation(Quaterniondc quat, Matrix4d 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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(Quaterniondc)
.Reference: http://en.wikipedia.org
 Specified by:
rotateTranslation
in interfaceMatrix4dc
 Parameters:
quat
 theQuaterniondc
dest
 will hold the result Returns:
 dest
 See Also:
rotation(Quaterniondc)

rotateTranslation
public Matrix4d rotateTranslation(Quaternionfc quat, Matrix4d 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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(Quaternionfc)
.Reference: http://en.wikipedia.org
 Specified by:
rotateTranslation
in interfaceMatrix4dc
 Parameters:
quat
 theQuaternionfc
dest
 will hold the result Returns:
 dest
 See Also:
rotation(Quaternionfc)

rotateLocal
public Matrix4d rotateLocal(Quaterniondc quat, Matrix4d 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!In order to set the matrix to a rotation transformation without premultiplying, use
rotation(Quaterniondc)
.Reference: http://en.wikipedia.org
 Specified by:
rotateLocal
in interfaceMatrix4dc
 Parameters:
quat
 theQuaterniondc
dest
 will hold the result Returns:
 dest
 See Also:
rotation(Quaterniondc)

rotateLocal
public Matrix4d rotateLocal(Quaterniondc quat)
Premultiply the rotation  and possibly scaling  transformation of the givenQuaterniondc
to this matrix.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!In order to set the matrix to a rotation transformation without premultiplying, use
rotation(Quaterniondc)
.Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaterniondc
 Returns:
 this
 See Also:
rotation(Quaterniondc)

rotateAffine
public Matrix4d rotateAffine(Quaternionfc quat, Matrix4d dest)
Apply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to thisaffine
matrix and store the result indest
.This method assumes
this
to beaffine
.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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(Quaternionfc)
.Reference: http://en.wikipedia.org
 Specified by:
rotateAffine
in interfaceMatrix4dc
 Parameters:
quat
 theQuaternionfc
dest
 will hold the result Returns:
 dest
 See Also:
rotation(Quaternionfc)

rotateAffine
public Matrix4d rotateAffine(Quaternionfc quat)
Apply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix.This method assumes
this
to beaffine
.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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(Quaternionfc)
.Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaternionfc
 Returns:
 this
 See Also:
rotation(Quaternionfc)

rotateLocal
public Matrix4d rotateLocal(Quaternionfc quat, Matrix4d 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!In order to set the matrix to a rotation transformation without premultiplying, use
rotation(Quaternionfc)
.Reference: http://en.wikipedia.org
 Specified by:
rotateLocal
in interfaceMatrix4dc
 Parameters:
quat
 theQuaternionfc
dest
 will hold the result Returns:
 dest
 See Also:
rotation(Quaternionfc)

rotateLocal
public Matrix4d rotateLocal(Quaternionfc quat)
Premultiply the rotation  and possibly scaling  transformation of the givenQuaternionfc
to this matrix.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!In order to set the matrix to a rotation transformation without premultiplying, use
rotation(Quaternionfc)
.Reference: http://en.wikipedia.org
 Parameters:
quat
 theQuaternionfc
 Returns:
 this
 See Also:
rotation(Quaternionfc)

rotate
public Matrix4d rotate(AxisAngle4f axisAngle)
Apply a rotation transformation, rotating about the givenAxisAngle4f
, to this matrix.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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(AxisAngle4f)
.Reference: http://en.wikipedia.org
 Parameters:
axisAngle
 theAxisAngle4f
(needs to benormalized
) Returns:
 this
 See Also:
rotate(double, double, double, double)
,rotation(AxisAngle4f)

rotate
public Matrix4d rotate(AxisAngle4f axisAngle, Matrix4d 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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(AxisAngle4f)
.Reference: http://en.wikipedia.org
 Specified by:
rotate
in interfaceMatrix4dc
 Parameters:
axisAngle
 theAxisAngle4f
(needs to benormalized
)dest
 will hold the result Returns:
 dest
 See Also:
rotate(double, double, double, double)
,rotation(AxisAngle4f)

rotate
public Matrix4d rotate(AxisAngle4d axisAngle)
Apply a rotation transformation, rotating about the givenAxisAngle4d
, to this matrix.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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(AxisAngle4d)
.Reference: http://en.wikipedia.org
 Parameters:
axisAngle
 theAxisAngle4d
(needs to benormalized
) Returns:
 this
 See Also:
rotate(double, double, double, double)
,rotation(AxisAngle4d)

rotate
public Matrix4d rotate(AxisAngle4d axisAngle, Matrix4d 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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(AxisAngle4d)
.Reference: http://en.wikipedia.org
 Specified by:
rotate
in interfaceMatrix4dc
 Parameters:
axisAngle
 theAxisAngle4d
(needs to benormalized
)dest
 will hold the result Returns:
 dest
 See Also:
rotate(double, double, double, double)
,rotation(AxisAngle4d)

rotate
public Matrix4d rotate(double angle, Vector3dc axis)
Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(double, Vector3dc)
.Reference: http://en.wikipedia.org
 Parameters:
angle
 the angle in radiansaxis
 the rotation axis (needs to benormalized
) Returns:
 this
 See Also:
rotate(double, double, double, double)
,rotation(double, Vector3dc)

rotate
public Matrix4d rotate(double angle, Vector3dc axis, Matrix4d 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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(double, Vector3dc)
.Reference: http://en.wikipedia.org
 Specified by:
rotate
in interfaceMatrix4dc
 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)
,rotation(double, Vector3dc)

rotate
public Matrix4d rotate(double angle, Vector3fc axis)
Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(double, Vector3fc)
.Reference: http://en.wikipedia.org
 Parameters:
angle
 the angle in radiansaxis
 the rotation axis (needs to benormalized
) Returns:
 this
 See Also:
rotate(double, double, double, double)
,rotation(double, Vector3fc)

rotate
public Matrix4d rotate(double angle, Vector3fc axis, Matrix4d 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!In order to set the matrix to a rotation transformation without postmultiplying, use
rotation(double, Vector3fc)
.Reference: http://en.wikipedia.org
 Specified by:
rotate
in interfaceMatrix4dc
 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)
,rotation(double, Vector3fc)

getRow
public Vector4d getRow(int row, Vector4d dest) throws java.lang.IndexOutOfBoundsException
Description copied from interface:Matrix4dc
Get the row at the givenrow
index, starting with0
.

getRow
public Vector3d getRow(int row, Vector3d dest) throws java.lang.IndexOutOfBoundsException
Description copied from interface:Matrix4dc
Get the first three components of the row at the givenrow
index, starting with0
.

setRow
public Matrix4d setRow(int row, Vector4dc src) throws java.lang.IndexOutOfBoundsException
Set the row at the givenrow
index, starting with0
. Parameters:
row
 the row index in[0..3]
src
 the row components to set Returns:
 this
 Throws:
java.lang.IndexOutOfBoundsException
 ifrow
is not in[0..3]

getColumn
public Vector4d getColumn(int column, Vector4d dest) throws java.lang.IndexOutOfBoundsException
Description copied from interface:Matrix4dc
Get the column at the givencolumn
index, starting with0
.

getColumn
public Vector3d getColumn(int column, Vector3d dest) throws java.lang.IndexOutOfBoundsException
Description copied from interface:Matrix4dc
Get the first three components of the column at the givencolumn
index, starting with0
.

setColumn
public Matrix4d setColumn(int column, Vector4dc src) throws java.lang.IndexOutOfBoundsException
Set the column at the givencolumn
index, starting with0
. Parameters:
column
 the column index in[0..3]
src
 the column components to set Returns:
 this
 Throws:
java.lang.IndexOutOfBoundsException
 ifcolumn
is not in[0..3]

get
public double get(int column, int row)
Description copied from interface:Matrix4dc
Get the matrix element value at the given column and row.

set
public Matrix4d set(int column, int row, double value)
Set the matrix element at the given column and row to the specified value. Parameters:
column
 the colum index in[0..3]
row
 the row index in[0..3]
value
 the value Returns:
 this

getRowColumn
public double getRowColumn(int row, int column)
Description copied from interface:Matrix4dc
Get the matrix element value at the given row and column. Specified by:
getRowColumn
in interfaceMatrix4dc
 Parameters:
row
 the row index in[0..3]
column
 the colum index in[0..3]
 Returns:
 the element value

setRowColumn
public Matrix4d setRowColumn(int row, int column, double value)
Set the matrix element at the given row and column to the specified value. Parameters:
row
 the row index in[0..3]
column
 the colum index in[0..3]
value
 the value Returns:
 this

normal
public Matrix4d normal()
Compute a normal matrix from the upper left 3x3 submatrix ofthis
and store it into the upper left 3x3 submatrix ofthis
. All other values ofthis
will be set toidentity
.The normal matrix of
m
is the transpose of the inverse ofm
.Please note that, if
this
is an orthogonal matrix or a matrix whose columns are orthogonal vectors, then this method need not be invoked, since in that casethis
itself is its normal matrix. In that case, useset3x3(Matrix4dc)
to set a given Matrix4f to only the upper left 3x3 submatrix of this matrix. Returns:
 this
 See Also:
set3x3(Matrix4dc)

normal
public Matrix4d normal(Matrix4d dest)
Compute a normal matrix from the upper left 3x3 submatrix ofthis
and store it into the upper left 3x3 submatrix ofdest
. All other values ofdest
will be set toidentity
.The normal matrix of
m
is the transpose of the inverse ofm
.Please note that, if
this
is an orthogonal matrix or a matrix whose columns are orthogonal vectors, then this method need not be invoked, since in that casethis
itself is its normal matrix. In that case, useset3x3(Matrix4dc)
to set a given Matrix4d to only the upper left 3x3 submatrix of a given matrix. Specified by:
normal
in interfaceMatrix4dc
 Parameters:
dest
 will hold the result Returns:
 dest
 See Also:
set3x3(Matrix4dc)

normal
public Matrix3d normal(Matrix3d dest)
Compute a normal matrix from the upper left 3x3 submatrix ofthis
and store it intodest
.The normal matrix of
m
is the transpose of the inverse ofm
.Please note that, if
this
is an orthogonal matrix or a matrix whose columns are orthogonal vectors, then this method need not be invoked, since in that casethis
itself is its normal matrix. In that case, useMatrix3d.set(Matrix4dc)
to set a given Matrix3d to only the upper left 3x3 submatrix of this matrix. Specified by:
normal
in interfaceMatrix4dc
 Parameters:
dest
 will hold the result Returns:
 dest
 See Also:
Matrix3d.set(Matrix4dc)
,get3x3(Matrix3d)

cofactor3x3
public Matrix4d cofactor3x3()
Compute the cofactor matrix of the upper left 3x3 submatrix ofthis
.The cofactor matrix can be used instead of
normal()
to transform normals when the orientation of the normals with respect to the surface should be preserved. Returns:
 this

cofactor3x3
public Matrix3d cofactor3x3(Matrix3d dest)
Compute the cofactor matrix of the upper 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. Specified by:
cofactor3x3
in interfaceMatrix4dc
 Parameters:
dest
 will hold the result Returns:
 dest

cofactor3x3
public Matrix4d cofactor3x3(Matrix4d dest)
Compute the cofactor matrix of the upper left 3x3 submatrix ofthis
and store it intodest
. All other values ofdest
will be set toidentity
.The cofactor matrix can be used instead of
normal(Matrix4d)
to transform normals when the orientation of the normals with respect to the surface should be preserved. Specified by:
cofactor3x3
in interfaceMatrix4dc
 Parameters:
dest
 will hold the result Returns:
 dest

normalize3x3
public Matrix4d normalize3x3()
Normalize the upper left 3x3 submatrix of this matrix.The resulting matrix will map unit vectors to unit vectors, though a pair of orthogonal input unit vectors need not be mapped to a pair of orthogonal output vectors if the original matrix was not orthogonal itself (i.e. had skewing).
 Returns:
 this

normalize3x3
public Matrix4d normalize3x3(Matrix4d dest)
Description copied from interface:Matrix4dc
Normalize the upper 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).
 Specified by:
normalize3x3
in interfaceMatrix4dc
 Parameters:
dest
 will hold the result Returns:
 dest

normalize3x3
public Matrix3d normalize3x3(Matrix3d dest)
Description copied from interface:Matrix4dc
Normalize the upper 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).
 Specified by:
normalize3x3
in interfaceMatrix4dc
 Parameters:
dest
 will hold the result Returns:
 dest

unproject
public Vector4d unproject(double winX, double winY, double winZ, int[] viewport, Vector4d dest)
Description copied from interface:Matrix4dc
Unproject the given window coordinates(winX, winY, winZ)
bythis
matrix using the specified viewport.This method first converts the given window coordinates to normalized device coordinates in the range
[1..1]
and then transforms those NDC coordinates by the inverse ofthis
matrix.The depth range of
winZ
is assumed to be[0..1]
, which is also the OpenGL default.As a necessary computation step for unprojecting, this method computes the inverse of
this
matrix. In order to avoid computing the matrix inverse with every invocation, the inverse ofthis
matrix can be built once outside usingMatrix4dc.invert(Matrix4d)
and then the methodunprojectInv()
can be invoked on it. Specified by:
unproject
in interfaceMatrix4dc
 Parameters:
winX
 the xcoordinate in window coordinates (pixels)winY
 the ycoordinate in window coordinates (pixels)winZ
 the zcoordinate, which is the depth value in[0..1]
viewport
 the viewport described by[x, y, width, height]
dest
 will hold the unprojected position Returns:
 dest
 See Also:
Matrix4dc.unprojectInv(double, double, double, int[], Vector4d)
,Matrix4dc.invert(Matrix4d)

unproject
public Vector3d unproject(double winX, double winY, double winZ, int[] viewport, Vector3d dest)
Description copied from interface:Matrix4dc
Unproject the given window coordinates(winX, winY, winZ)
bythis
matrix using the specified viewport.This method first converts the given window coordinates to normalized device coordinates in the range
[1..1]
and then transforms those NDC coordinates by the inverse ofthis
matrix.The depth range of
winZ
is assumed to be[0..1]
, which is also the OpenGL default.As a necessary computation step for unprojecting, this method computes the inverse of
this
matrix. In order to avoid computing the matrix inverse with every invocation, the inverse ofthis
matrix can be built once outside usingMatrix4dc.invert(Matrix4d)
and then the methodunprojectInv()
can be invoked on it. Specified by:
unproject
in interfaceMatrix4dc
 Parameters:
winX
 the xcoordinate in window coordinates (pixels)winY
 the ycoordinate in window coordinates (pixels)winZ
 the zcoordinate, which is the depth value in[0..1]
viewport
 the viewport described by[x, y, width, height]
dest
 will hold the unprojected position Returns:
 dest
 See Also:
Matrix4dc.unprojectInv(double, double, double, int[], Vector3d)
,Matrix4dc.invert(Matrix4d)

unproject
public Vector4d unproject(Vector3dc winCoords, int[] viewport, Vector4d dest)
Description copied from interface:Matrix4dc
Unproject the given window coordinateswinCoords
bythis
matrix using the specified viewport.This method first converts the given window coordinates to normalized device coordinates in the range
[1..1]
and then transforms those NDC coordinates by the inverse ofthis
matrix.The depth range of
winCoords.z
is assumed to be[0..1]
, which is also the OpenGL default.As a necessary computation step for unprojecting, this method computes the inverse of
this
matrix. In order to avoid computing the matrix inverse with every invocation, the inverse ofthis
matrix can be built once outside usingMatrix4dc.invert(Matrix4d)
and then the methodunprojectInv()
can be invoked on it. Specified by:
unproject
in interfaceMatrix4dc
 Parameters:
winCoords
 the window coordinates to unprojectviewport
 the viewport described by[x, y, width, height]
dest
 will hold the unprojected position Returns:
 dest
 See Also:
Matrix4dc.unprojectInv(double, double, double, int[], Vector4d)
,Matrix4dc.unproject(double, double, double, int[], Vector4d)
,Matrix4dc.invert(Matrix4d)

unproject
public Vector3d unproject(Vector3dc winCoords, int[] viewport, Vector3d dest)
Description copied from interface:Matrix4dc
Unproject the given window coordinateswinCoords
bythis
matrix using the specified viewport.This method first converts the given window coordinates to normalized device coordinates in the range
[1..1]
and then transforms those NDC coordinates by the inverse ofthis
matrix.The depth range of
winCoords.z
is assumed to be[0..1]
, which is also the OpenGL default.As a necessary computation step for unprojecting, this method computes the inverse of
this
matrix. In order to avoid computing the matrix inverse with every invocation, the inverse ofthis
matrix can be built once outside usingMatrix4dc.invert(Matrix4d)
and then the methodunprojectInv()
can be invoked on it. Specified by:
unproject
in interfaceMatrix4dc
 Parameters:
winCoords
 the window coordinates to unprojectviewport
 the viewport described by[x, y, width, height]
dest
 will hold the unprojected position Returns:
 dest
 See Also:
Matrix4dc.unprojectInv(double, double, double, int[], Vector4d)
,Matrix4dc.unproject(double, double, double, int[], Vector4d)
,Matrix4dc.invert(Matrix4d)

unprojectRay
public Matrix4d unprojectRay(double winX, double winY, int[] viewport, Vector3d originDest, Vector3d dirDest)
Description copied from interface:Matrix4dc
Unproject the given 2D window coordinates(winX, winY)
bythis
matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDCz = 1.0
and goes through NDCz = +1.0
.This method first converts the given window coordinates to normalized device coordinates in the range
[1..1]
and then transforms those NDC coordinates by the inverse ofthis
matrix.As a necessary computation step for unprojecting, this method computes the inverse of
this
matrix. In order to avoid computing the matrix inverse with every invocation, the inverse ofthis
matrix can be built once outside usingMatrix4dc.invert(Matrix4d)
and then the methodunprojectInvRay()
can be invoked on it. Specified by:
unprojectRay
in interfaceMatrix4dc
 Parameters:
winX
 the xcoordinate in window coordinates (pixels)winY
 the ycoordinate in window coordinates (pixels)viewport
 the viewport described by[x, y, width, height]
originDest
 will hold the ray origindirDest
 will hold the (unnormalized) ray direction Returns:
 this
 See Also:
Matrix4dc.unprojectInvRay(double, double, int[], Vector3d, Vector3d)
,Matrix4dc.invert(Matrix4d)

unprojectRay
public Matrix4d unprojectRay(Vector2dc winCoords, int[] viewport, Vector3d originDest, Vector3d dirDest)
Description copied from interface:Matrix4dc
Unproject the given 2D window coordinateswinCoords
bythis
matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDCz = 1.0
and goes through NDCz = +1.0
.This method first converts the given window coordinates to normalized device coordinates in the range
[1..1]
and then transforms those NDC coordinates by the inverse ofthis
matrix.As a necessary computation step for unprojecting, this method computes the inverse of
this
matrix. In order to avoid computing the matrix inverse with every invocation, the inverse ofthis
matrix can be built once outside usingMatrix4dc.invert(Matrix4d)
and then the methodunprojectInvRay()
can be invoked on it. Specified by:
unprojectRay
in interfaceMatrix4dc
 Parameters:
winCoords
 the window coordinates to unprojectviewport
 the viewport described by[x, y, width, height]
originDest
 will hold the ray origindirDest
 will hold the (unnormalized) ray direction Returns:
 this
 See Also:
Matrix4dc.unprojectInvRay(double, double, int[], Vector3d, Vector3d)
,Matrix4dc.unprojectRay(double, double, int[], Vector3d, Vector3d)
,Matrix4dc.invert(Matrix4d)

unprojectInv
public Vector4d unprojectInv(Vector3dc winCoords, int[] viewport, Vector4d dest)
Description copied from interface:Matrix4dc
Unproject the given window coordinateswinCoords
bythis
matrix using the specified viewport.This method differs from
unproject()
in that it assumes thatthis
is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.This method first converts the given window coordinates to normalized device coordinates in the range
[1..1]
and then transforms those NDC coordinates bythis
matrix.The depth range of
winCoords.z
is assumed to be[0..1]
, which is also the OpenGL default. Specified by:
unprojectInv
in interfaceMatrix4dc
 Parameters:
winCoords
 the window coordinates to unprojectviewport
 the viewport described by[x, y, width, height]
dest
 will hold the unprojected position Returns:
 dest
 See Also:
Matrix4dc.unproject(Vector3dc, int[], Vector4d)

unprojectInv
public Vector4d unprojectInv(double winX, double winY, double winZ, int[] viewport, Vector4d dest)
Description copied from interface:Matrix4dc
Unproject the given window coordinates(winX, winY, winZ)
bythis
matrix using the specified viewport.This method differs from
unproject()
in that it assumes thatthis
is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.This method first converts the given window coordinates to normalized device coordinates in the range
[1..1]
and then transforms those NDC coordinates bythis
matrix.The depth range of
winZ
is assumed to be[0..1]
, which is also the OpenGL default. Specified by:
unprojectInv
in interfaceMatrix4dc
 Parameters:
winX
 the xcoordinate in window coordinates (pixels)winY
 the ycoordinate in window coordinates (pixels)winZ
 the zcoordinate, which is the depth value in[0..1]
viewport
 the viewport described by[x, y, width, height]
dest
 will hold the unprojected position Returns:
 dest
 See Also:
Matrix4dc.unproject(double, double, double, int[], Vector4d)

unprojectInv
public Vector3d unprojectInv(Vector3dc winCoords, int[] viewport, Vector3d dest)
Description copied from interface:Matrix4dc
Unproject the given window coordinateswinCoords
bythis
matrix using the specified viewport.This method differs from
unproject()
in that it assumes thatthis
is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.This method first converts the given window coordinates to normalized device coordinates in the range
[1..1]
and then transforms those NDC coordinates bythis
matrix.The depth range of
winCoords.z
is assumed to be[0..1]
, which is also the OpenGL default. Specified by:
unprojectInv
in interfaceMatrix4dc
 Parameters:
winCoords
 the window coordinates to unprojectviewport
 the viewport described by[x, y, width, height]
dest
 will hold the unprojected position Returns:
 dest
 See Also:
Matrix4dc.unproject(Vector3dc, int[], Vector3d)

unprojectInv
public Vector3d unprojectInv(double winX, double winY, double winZ, int[] viewport, Vector3d dest)
Description copied from interface:Matrix4dc
Unproject the given window coordinates(winX, winY, winZ)
bythis
matrix using the specified viewport.This method differs from
unproject()
in that it assumes thatthis
is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.This method first converts the given window coordinates to normalized device coordinates in the range
[1..1]
and then transforms those NDC coordinates bythis
matrix.The depth range of
winZ
is assumed to be[0..1]
, which is also the OpenGL default. Specified by:
unprojectInv
in interfaceMatrix4dc
 Parameters:
winX
 the xcoordinate in window coordinates (pixels)winY
 the ycoordinate in window coordinates (pixels)winZ
 the zcoordinate, which is the depth value in[0..1]
viewport
 the viewport described by[x, y, width, height]
dest
 will hold the unprojected position Returns:
 dest
 See Also:
Matrix4dc.unproject(double, double, double, int[], Vector3d)

unprojectInvRay
public Matrix4d unprojectInvRay(Vector2dc winCoords, int[] viewport, Vector3d originDest, Vector3d dirDest)
Description copied from interface:Matrix4dc
Unproject the given window coordinateswinCoords
bythis
matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDCz = 1.0
and goes through NDCz = +1.0
.This method differs from
unprojectRay()
in that it assumes thatthis
is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation. Specified by:
unprojectInvRay
in interfaceMatrix4dc
 Parameters:
winCoords
 the window coordinates to unprojectviewport
 the viewport described by[x, y, width, height]
originDest
 will hold the ray origindirDest
 will hold the (unnormalized) ray direction Returns:
 this
 See Also:
Matrix4dc.unprojectRay(Vector2dc, int[], Vector3d, Vector3d)

unprojectInvRay
public Matrix4d unprojectInvRay(double winX, double winY, int[] viewport, Vector3d originDest, Vector3d dirDest)
Description copied from interface:Matrix4dc
Unproject the given 2D window coordinates(winX, winY)
bythis
matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDCz = 1.0
and goes through NDCz = +1.0
.This method differs from
unprojectRay()
in that it assumes thatthis
is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation. Specified by:
unprojectInvRay
in interfaceMatrix4dc
 Parameters:
winX
 the xcoordinate in window coordinates (pixels)winY
 the ycoordinate in window coordinates (pixels)viewport
 the viewport described by[x, y, width, height]
originDest
 will hold the ray origindirDest
 will hold the (unnormalized) ray direction Returns:
 this
 See Also:
Matrix4dc.unprojectRay(double, double, int[], Vector3d, Vector3d)

project
public Vector4d project(double x, double y, double z, int[] viewport, Vector4d winCoordsDest)
Description copied from interface:Matrix4dc
Project the given(x, y, z)
position viathis
matrix using the specified viewport and store the resulting window coordinates inwinCoordsDest
.This method transforms the given coordinates by
this
matrix including perspective division to obtain normalized device coordinates, and then translates these into window coordinates by using the givenviewport
settings[x, y, width, height]
.The depth range of the returned
winCoordsDest.z
will be[0..1]
, which is also the OpenGL default. Specified by:
project
in interfaceMatrix4dc
 Parameters:
x
 the xcoordinate of the position to projecty
 the ycoordinate of the position to projectz
 the zcoordinate of the position to projectviewport
 the viewport described by[x, y, width, height]
winCoordsDest
 will hold the projected window coordinates Returns:
 winCoordsDest

project
public Vector3d project(double x, double y, double z, int[] viewport, Vector3d winCoordsDest)
Description copied from interface:Matrix4dc
Project the given(x, y, z)
position viathis
matrix using the specified viewport and store the resulting window coordinates inwinCoordsDest
.This method transforms the given coordinates by
this
matrix including perspective division to obtain normalized device coordinates, and then translates these into window coordinates by using the givenviewport
settings[x, y, width, height]
.The depth range of the returned
winCoordsDest.z
will be[0..1]
, which is also the OpenGL default. Specified by:
project
in interfaceMatrix4dc
 Parameters:
x
 the xcoordinate of the position to projecty
 the ycoordinate of the position to projectz
 the zcoordinate of the position to projectviewport
 the viewport described by[x, y, width, height]
winCoordsDest
 will hold the projected window coordinates Returns:
 winCoordsDest

project
public Vector4d project(Vector3dc position, int[] viewport, Vector4d dest)
Description copied from interface:Matrix4dc
Project the givenposition
viathis
matrix using the specified viewport and store the resulting window coordinates inwinCoordsDest
.This method transforms the given coordinates by
this
matrix including perspective division to obtain normalized device coordinates, and then translates these into window coordinates by using the givenviewport
settings[x, y, width, height]
.The depth range of the returned
winCoordsDest.z
will be[0..1]
, which is also the OpenGL default. Specified by:
project
in interfaceMatrix4dc
 Parameters:
position
 the position to project into window coordinatesviewport
 the viewport described by[x, y, width, height]
dest
 will hold the projected window coordinates Returns:
 winCoordsDest
 See Also:
Matrix4dc.project(double, double, double, int[], Vector4d)

project
public Vector3d project(Vector3dc position, int[] viewport, Vector3d dest)
Description copied from interface:Matrix4dc
Project the givenposition
viathis
matrix using the specified viewport and store the resulting window coordinates inwinCoordsDest
.This method transforms the given coordinates by
this
matrix including perspective division to obtain normalized device coordinates, and then translates these into window coordinates by using the givenviewport
settings[x, y, width, height]
.The depth range of the returned
winCoordsDest.z
will be[0..1]
, which is also the OpenGL default. Specified by:
project
in interfaceMatrix4dc
 Parameters:
position
 the position to project into window coordinatesviewport
 the viewport described by[x, y, width, height]
dest
 will hold the projected window coordinates Returns:
 winCoordsDest
 See Also:
Matrix4dc.project(double, double, double, int[], Vector4d)

reflect
public Matrix4d reflect(double a, double b, double c, double d, Matrix4d dest)
Description copied from interface:Matrix4dc
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

reflect
public Matrix4d reflect(double a, double b, double c, double d)
Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equationx*a + y*b + z*c + d = 0
.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 equation Returns:
 this

reflect
public Matrix4d reflect(double nx, double ny, double nz, double px, double py, double pz)
Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.If
M
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 plane Returns:
 this

reflect
public Matrix4d reflect(double nx, double ny, double nz, double px, double py, double pz, Matrix4d dest)
Description copied from interface:Matrix4dc
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! Specified by:
reflect
in interfaceMatrix4dc
 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
public Matrix4d reflect(Vector3dc normal, Vector3dc point)
Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.If
M
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 plane Returns:
 this

reflect
public Matrix4d reflect(Quaterniondc orientation, Vector3dc point)
Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane.This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is
(0, 0, 1)
. So, if the 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 orientation relative to an implied normal vector of(0, 0, 1)
point
 a point on the plane Returns:
 this

reflect
public Matrix4d reflect(Quaterniondc orientation, Vector3dc point, Matrix4d dest)
Description copied from interface:Matrix4dc
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!

reflect
public Matrix4d reflect(Vector3dc normal, Vector3dc point, Matrix4d dest)
Description copied from interface:Matrix4dc
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!

reflection
public Matrix4d reflection(double a, double b, double c, double d)
Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the equationx*a + y*b + z*c + d = 0
.The vector
(a, b, c)
must be a unit vector.Reference: msdn.microsoft.com
 Parameters:
a
 the x factor in the plane equationb
 the y factor in the plane equationc
 the z factor in the plane equationd
 the constant in the plane equation Returns:
 this

reflection
public Matrix4d reflection(double nx, double ny, double nz, double px, double py, double pz)
Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane. Parameters:
nx
 the 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 plane Returns:
 this

reflection
public Matrix4d reflection(Vector3dc normal, Vector3dc point)
Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane. Parameters:
normal
 the plane normalpoint
 a point on the plane Returns:
 this

reflection
public Matrix4d reflection(Quaterniondc orientation, Vector3dc point)
Set this matrix to a mirror/reflection transformation that reflects about a plane specified via the plane orientation and a point on the plane.This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is
(0, 0, 1)
. So, if the givenQuaterniondc
is the identity (does not apply any additional rotation), the reflection plane will bez=0
, offset by the givenpoint
. Parameters:
orientation
 the plane orientationpoint
 a point on the plane Returns:
 this

ortho
public Matrix4d ortho(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne, Matrix4d 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!In order to set the matrix to an orthographic projection without postmultiplying it, use
setOrtho()
.Reference: http://www.songho.ca
 Specified by:
ortho
in interfaceMatrix4dc
 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
 See Also:
setOrtho(double, double, double, double, double, double, boolean)

ortho
public Matrix4d ortho(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4d 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!In order to set the matrix to an orthographic projection without postmultiplying it, use
setOrtho()
.Reference: http://www.songho.ca
 Specified by:
ortho
in interfaceMatrix4dc
 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
 See Also:
setOrtho(double, double, double, double, double, double)

ortho
public Matrix4d ortho(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)
Apply an orthographic projection transformation for a righthanded coordinate system using the given NDC z range to this matrix.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!In order to set the matrix to an orthographic projection without postmultiplying it, use
setOrtho()
.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
 Returns:
 this
 See Also:
setOrtho(double, double, double, double, double, double, boolean)

ortho
public Matrix4d ortho(double left, double right, double bottom, double top, double zNear, double zFar)
Apply an orthographic projection transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix.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!In order to set the matrix to an orthographic projection without postmultiplying it, use
setOrtho()
.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 distance Returns:
 this
 See Also:
setOrtho(double, double, double, double, double, double)

orthoLH
public Matrix4d orthoLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne, Matrix4d 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!In order to set the matrix to an orthographic projection without postmultiplying it, use
setOrthoLH()
.Reference: http://www.songho.ca
 Specified by:
orthoLH
in interfaceMatrix4dc
 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
 See Also:
setOrthoLH(double, double, double, double, double, double, boolean)

orthoLH
public Matrix4d orthoLH(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4d 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!In order to set the matrix to an orthographic projection without postmultiplying it, use
setOrthoLH()
.Reference: http://www.songho.ca
 Specified by:
orthoLH
in interfaceMatrix4dc
 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
 See Also:
setOrthoLH(double, double, double, double, double, double)

orthoLH
public Matrix4d orthoLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)
Apply an orthographic projection transformation for a lefthanded coordiante system using the given NDC z range to this matrix.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!In order to set the matrix to an orthographic projection without postmultiplying it, use
setOrthoLH()
.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
 Returns:
 this
 See Also:
setOrthoLH(double, double, double, double, double, double, boolean)

orthoLH
public Matrix4d orthoLH(double left, double right, double bottom, double top, double zNear, double zFar)
Apply an orthographic projection transformation for a lefthanded coordiante system using OpenGL's NDC z range of[1..+1]
to this matrix.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!In order to set the matrix to an orthographic projection without postmultiplying it, use
setOrthoLH()
.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 distance Returns:
 this
 See Also:
setOrthoLH(double, double, double, double, double, double)

setOrtho
public Matrix4d setOrtho(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be an orthographic projection transformation for a righthanded coordinate system using the given NDC z range.In order to apply the orthographic projection to an already existing transformation, use
ortho()
.Reference: http://www.songho.ca
 Parameters:
left
 the distance from the center to the left frustum 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
 Returns:
 this
 See Also:
ortho(double, double, double, double, double, double, boolean)

setOrtho
public Matrix4d setOrtho(double left, double right, double bottom, double top, double zNear, double zFar)
Set this matrix to be an orthographic projection transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
.In order to apply the orthographic projection to an already existing transformation, use
ortho()
.Reference: http://www.songho.ca
 Parameters:
left
 the distance from the center to the left frustum 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 distance Returns:
 this
 See Also:
ortho(double, double, double, double, double, double)

setOrthoLH
public Matrix4d setOrthoLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)
Set this matrix to be an orthographic projection transformation for a lefthanded coordinate system using the given NDC z range.In order to apply the orthographic projection to an already existing transformation, use
orthoLH()
.Reference: http://www.songho.ca
 Parameters:
left
 the distance from the center to the left frustum 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
 Returns:
 this
 See Also:
orthoLH(double, double, double, double, double, double, boolean)

setOrthoLH
public Matrix4d setOrthoLH(double left, double right, double bottom, double top, double zNear, double zFar)
Set this matrix to be an orthographic projection transformation for a lefthanded coordinate system using OpenGL's NDC z range of[1..+1]
.In order to apply the orthographic projection to an already existing transformation, use
orthoLH()
.Reference: http://www.songho.ca
 Parameters:
left
 the distance from the center to the left frustum 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 distance Returns:
 this
 See Also:
orthoLH(double, double, double, double, double, double)

orthoSymmetric
public Matrix4d orthoSymmetric(double width, double height, double zNear, double zFar, boolean zZeroToOne, Matrix4d 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!In order to set the matrix to a symmetric orthographic projection without postmultiplying it, use
setOrthoSymmetric()
.Reference: http://www.songho.ca
 Specified by:
orthoSymmetric
in interfaceMatrix4dc
 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
 See Also:
setOrthoSymmetric(double, double, double, double, boolean)

orthoSymmetric
public Matrix4d orthoSymmetric(double width, double height, double zNear, double zFar, Matrix4d 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!In order to set the matrix to a symmetric orthographic projection without postmultiplying it, use
setOrthoSymmetric()
.Reference: http://www.songho.ca
 Specified by:
orthoSymmetric
in interfaceMatrix4dc
 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
 See Also:
setOrthoSymmetric(double, double, double, double)

orthoSymmetric
public Matrix4d orthoSymmetric(double width, double height, double zNear, double zFar, boolean zZeroToOne)
Apply a symmetric orthographic projection transformation for a righthanded coordinate system using the given NDC z range to this matrix.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!In order to set the matrix to a symmetric orthographic projection without postmultiplying it, use
setOrthoSymmetric()
.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 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
 Returns:
 this
 See Also:
setOrthoSymmetric(double, double, double, double, boolean)

orthoSymmetric
public Matrix4d orthoSymmetric(double width, double height, double zNear, double zFar)
Apply a symmetric orthographic projection transformation for a righthanded coordinate system using OpenGL's NDC z range of[1..+1]
to this matrix.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!In order to set the matrix to a symmetric orthographic projection without postmultiplying it, use
setOrthoSymmetric()
.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 distance Returns:
 this
 See Also:
setOrthoSymmetric(double, double, double, double)

orthoSymmetricLH
public Matrix4d orthoSymmetricLH(double width, double height, double zNear, double zFar, boolean zZeroToOne, Matrix4d 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!In order to set the matrix to a symmetric orthographic projection without postmultiplying it, use
setOrthoSymmetricLH()
.Reference: http://www.songho.ca
 Specified by:
orthoSymmetricLH
in interfaceMatrix4dc
 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
 See Also:
setOrthoSymmetricLH(double, double, double, double, boolean)

orthoSymmetricLH
public Matrix4d orthoSymmetricLH(double width, double height, double zNear, double zFar, Matrix4d 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!In order to set the matrix to a symmetric orthographic projection without postmultiplying it, use
setOrthoSymmetricLH()
.Reference: http://www.songho.ca
 Specified by:
orthoSymmetricLH
in interfaceMatrix4dc
 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
 See Also:

