Matrix4f (JOML 1.7.0 API)

java.lang.Object
- org.joml.Matrix4f

All Implemented Interfaces:

Externalizable, Serializable

Direct Known Subclasses:

MatrixStackf
```
public class Matrix4f
extends Object
implements Externalizable
```
Contains the definition of a 4x4 Matrix of floats, and associated functions to transform it. The matrix is column-major to match OpenGL's interpretation, and it looks like this:
m00 m10 m20 m30
m01 m11 m21 m31
m02 m12 m22 m32
m03 m13 m23 m33

Author:

Richard Greenlees, Kai Burjack

See Also:

Serialized Form

Field Summary

Fields
Modifier and Type	Field and Description
`static int`	`CORNER_NXNYNZ` Argument to the first parameter of `frustumCorner(int, Vector3f)` identifying the corner `(-1, -1, -1)` when using the identity matrix.
`static int`	`CORNER_NXNYPZ` Argument to the first parameter of `frustumCorner(int, Vector3f)` identifying the corner `(-1, -1, 1)` when using the identity matrix.
`static int`	`CORNER_NXPYNZ` Argument to the first parameter of `frustumCorner(int, Vector3f)` identifying the corner `(-1, 1, -1)` when using the identity matrix.
`static int`	`CORNER_NXPYPZ` Argument to the first parameter of `frustumCorner(int, Vector3f)` identifying the corner `(-1, 1, 1)` when using the identity matrix.
`static int`	`CORNER_PXNYNZ` Argument to the first parameter of `frustumCorner(int, Vector3f)` identifying the corner `(1, -1, -1)` when using the identity matrix.
`static int`	`CORNER_PXNYPZ` Argument to the first parameter of `frustumCorner(int, Vector3f)` identifying the corner `(1, -1, 1)` when using the identity matrix.
`static int`	`CORNER_PXPYNZ` Argument to the first parameter of `frustumCorner(int, Vector3f)` identifying the corner `(1, 1, -1)` when using the identity matrix.
`static int`	`CORNER_PXPYPZ` Argument to the first parameter of `frustumCorner(int, Vector3f)` identifying the corner `(1, 1, 1)` when using the identity matrix.
`float`	`m00`
`float`	`m01`
`float`	`m02`
`float`	`m03`
`float`	`m10`
`float`	`m11`
`float`	`m12`
`float`	`m13`
`float`	`m20`
`float`	`m21`
`float`	`m22`
`float`	`m23`
`float`	`m30`
`float`	`m31`
`float`	`m32`
`float`	`m33`
`static int`	`PLANE_NX` Argument to the first parameter of `frustumPlane(int, Vector4f)` identifying the plane with equation `x=-1` when using the identity matrix.
`static int`	`PLANE_NY` Argument to the first parameter of `frustumPlane(int, Vector4f)` identifying the plane with equation `y=-1` when using the identity matrix.
`static int`	`PLANE_NZ` Argument to the first parameter of `frustumPlane(int, Vector4f)` identifying the plane with equation `z=-1` when using the identity matrix.
`static int`	`PLANE_PX` Argument to the first parameter of `frustumPlane(int, Vector4f)` identifying the plane with equation `x=1` when using the identity matrix.
`static int`	`PLANE_PY` Argument to the first parameter of `frustumPlane(int, Vector4f)` identifying the plane with equation `y=1` when using the identity matrix.
`static int`	`PLANE_PZ` Argument to the first parameter of `frustumPlane(int, Vector4f)` identifying the plane with equation `z=1` when using the identity matrix.

Constructor Summary

Constructors
Constructor and Description
`Matrix4f()` Create a new `Matrix4f` and set it to `identity`.
`Matrix4f(FloatBuffer buffer)` Create a new `Matrix4f` by reading its 16 float components from the given `FloatBuffer` at the buffer's current position.
`Matrix4f(float m00, float m01, float m02, float m03, float m10, float m11, float m12, float m13, float m20, float m21, float m22, float m23, float m30, float m31, float m32, float m33)` Create a new 4x4 matrix using the supplied float values.
`Matrix4f(Matrix3f mat)` Create a new `Matrix4f` by setting its uppper left 3x3 submatrix to the values of the given `Matrix3f` and the rest to identity.
`Matrix4f(Matrix4d mat)` Create a new `Matrix4f` and make it a copy of the given matrix.
`Matrix4f(Matrix4f mat)` Create a new `Matrix4f` and make it a copy of the given matrix.

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`Matrix4f`	`add(Matrix4f other)` Component-wise add `this` and `other`.
`Matrix4f`	`add(Matrix4f other, Matrix4f dest)` Component-wise add `this` and `other` and store the result in `dest`.
`Matrix4f`	`add4x3(Matrix4f other)` Component-wise add the upper 4x3 submatrices of `this` and `other`.
`Matrix4f`	`add4x3(Matrix4f other, Matrix4f dest)` Component-wise add the upper 4x3 submatrices of `this` and `other` and store the result in `dest`.
`Matrix4f`	`arcball(float radius, Vector3f center, float angleX, float angleY)` Apply an arcball view transformation to this matrix with the given `radius` and `center` position of the arcball and the specified X and Y rotation angles.
`Matrix4f`	`billboardCylindrical(Vector3f objPos, Vector3f targetPos, Vector3f up)` Set this matrix to a cylindrical billboard transformation that rotates the local +Z axis of a given object with position `objPos` towards a target position at `targetPos` while constraining a cylindrical rotation around the given `up` vector.
`Matrix4f`	`billboardSpherical(Vector3f objPos, Vector3f targetPos)` Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position `objPos` towards a target position at `targetPos` using a shortest arc rotation by not preserving any up vector of the object.
`Matrix4f`	`billboardSpherical(Vector3f objPos, Vector3f targetPos, Vector3f up)` Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position `objPos` towards a target position at `targetPos`.
`float`	`determinant()` Return the determinant of this matrix.
`float`	`determinant3x3()` Return the determinant of the upper left 3x3 submatrix of this matrix.
`float`	`determinant4x3()` Return the determinant of this matrix by assuming that it represents an `affine` transformation and thus its last row is equal to `(0, 0, 0, 1)`.
`boolean`	`equals(Object obj)`
`Matrix4f`	`fma4x3(Matrix4f other, float otherFactor)` Component-wise add the upper 4x3 submatrices of `this` and `other` by first multiplying each component of `other`'s 4x3 submatrix by `otherFactor` and adding that result to `this`.
`Matrix4f`	`fma4x3(Matrix4f other, float otherFactor, Matrix4f dest)` Component-wise add the upper 4x3 submatrices of `this` and `other` by first multiplying each component of `other`'s 4x3 submatrix by `otherFactor`, adding that to `this` and storing the final result in `dest`.
`Matrix4f`	`frustum(float left, float right, float bottom, float top, float zNear, float zFar)` Apply an arbitrary perspective projection frustum transformation to this matrix.
`Matrix4f`	`frustum(float left, float right, float bottom, float top, float zNear, float zFar, Matrix4f dest)` Apply an arbitrary perspective projection frustum transformation to this matrix and store the result in `dest`.
`Vector3f`	`frustumCorner(int corner, Vector3f point)` Compute the corner coordinates of the frustum defined by `this` matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given `point`.
`Vector4f`	`frustumPlane(int plane, Vector4f planeEquation)` Calculate a frustum plane of `this` matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given `planeEquation`.
`Vector3f`	`frustumRayDir(float x, float y, Vector3f dir)` Obtain the direction of a ray starting at the center of the coordinate system and going through the near frustum plane.
`ByteBuffer`	`get(ByteBuffer buffer)` Store this matrix in column-major order into the supplied `ByteBuffer` at the current buffer `position`.
`float[]`	`get(float[] arr)` Store this matrix into the supplied float array in column-major order.
`float[]`	`get(float[] arr, int offset)` Store this matrix into the supplied float array in column-major order at the given offset.
`FloatBuffer`	`get(FloatBuffer buffer)` Store this matrix in column-major order into the supplied `FloatBuffer` at the current buffer `position`.
`ByteBuffer`	`get(int index, ByteBuffer buffer)` Store this matrix in column-major order into the supplied `ByteBuffer` starting at the specified absolute buffer position/index.
`FloatBuffer`	`get(int index, FloatBuffer buffer)` Store this matrix in column-major order into the supplied `FloatBuffer` starting at the specified absolute buffer position/index.
`Matrix4d`	`get(Matrix4d dest)` Get the current values of `this` matrix and store them into `dest`.
`Matrix4f`	`get(Matrix4f dest)` Get the current values of `this` matrix and store them into `dest`.
`Matrix3d`	`get3x3(Matrix3d dest)` Get the current values of the upper left 3x3 submatrix of `this` matrix and store them into `dest`.
`Matrix3f`	`get3x3(Matrix3f dest)` Get the current values of the upper left 3x3 submatrix of `this` matrix and store them into `dest`.
`Vector4f`	`getColumn(int column, Vector4f dest)` Get the column at the given `column` index, starting with `0`.
`Quaterniond`	`getNormalizedRotation(Quaterniond dest)` Get the current values of `this` matrix and store the represented rotation into the given `Quaterniond`.
`Quaternionf`	`getNormalizedRotation(Quaternionf dest)` Get the current values of `this` matrix and store the represented rotation into the given `Quaternionf`.
`AxisAngle4d`	`getRotation(AxisAngle4d dest)` Get the rotational component of `this` matrix and store the represented rotation into the given `AxisAngle4d`.
`AxisAngle4f`	`getRotation(AxisAngle4f dest)` Get the rotational component of `this` matrix and store the represented rotation into the given `AxisAngle4f`.
`Vector4f`	`getRow(int row, Vector4f dest)` Get the row at the given `row` index, starting with `0`.
`Vector3f`	`getScale(Vector3f dest)` Get the scaling factors of `this` matrix for the three base axes.
`Vector3f`	`getTranslation(Vector3f dest)` Get only the translation components `(m30, m31, m32)` of this matrix and store them in the given vector `xyz`.
`ByteBuffer`	`getTransposed(ByteBuffer buffer)` Store the transpose of this matrix in column-major order into the supplied `ByteBuffer` at the current buffer `position`.
`FloatBuffer`	`getTransposed(FloatBuffer buffer)` Store the transpose of this matrix in column-major order into the supplied `FloatBuffer` at the current buffer `position`.
`ByteBuffer`	`getTransposed(int index, ByteBuffer buffer)` Store the transpose of this matrix in column-major order into the supplied `ByteBuffer` starting at the specified absolute buffer position/index.
`FloatBuffer`	`getTransposed(int index, FloatBuffer buffer)` Store the transpose of this matrix in column-major order into the supplied `FloatBuffer` starting at the specified absolute buffer position/index.
`Quaterniond`	`getUnnormalizedRotation(Quaterniond dest)` Get the current values of `this` matrix and store the represented rotation into the given `Quaterniond`.
`Quaternionf`	`getUnnormalizedRotation(Quaternionf dest)` Get the current values of `this` matrix and store the represented rotation into the given `Quaternionf`.
`int`	`hashCode()`
`Matrix4f`	`identity()` Reset this matrix to the identity.
`Matrix4f`	`invert()` Invert this matrix.
`Matrix4f`	`invert(Matrix4f dest)` Invert this matrix and write the result into `dest`.
`Matrix4f`	`invert4x3()` Invert this matrix by assuming that it is an `affine` transformation (i.e. its last row is equal to `(0, 0, 0, 1)`).
`Matrix4f`	`invert4x3(Matrix4f dest)` Invert this matrix by assuming that it is an `affine` transformation (i.e. its last row is equal to `(0, 0, 0, 1)`) and write the result into `dest`.
`boolean`	`isAffine()` Determine whether this matrix describes an affine transformation.
`Matrix4f`	`lookAlong(float dirX, float dirY, float dirZ, float upX, float upY, float upZ)` Apply a rotation transformation to this matrix to make `-z` point along `dir`.
`Matrix4f`	`lookAlong(float dirX, float dirY, float dirZ, float upX, float upY, float upZ, Matrix4f dest)` Apply a rotation transformation to this matrix to make `-z` point along `dir` and store the result in `dest`.
`Matrix4f`	`lookAlong(Vector3f dir, Vector3f up)` Apply a rotation transformation to this matrix to make `-z` point along `dir`.
`Matrix4f`	`lookAlong(Vector3f dir, Vector3f up, Matrix4f dest)` Apply a rotation transformation to this matrix to make `-z` point along `dir` and store the result in `dest`.
`Matrix4f`	`lookAt(float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ)` Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns `-z` with `center - eye`.
`Matrix4f`	`lookAt(float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ, Matrix4f dest)` Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns `-z` with `center - eye` and store the result in `dest`.
`Matrix4f`	`lookAt(Vector3f eye, Vector3f center, Vector3f up)` Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns `-z` with `center - eye`.
`Matrix4f`	`lookAt(Vector3f eye, Vector3f center, Vector3f up, Matrix4f dest)` Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns `-z` with `center - eye` and store the result in `dest`.
`Matrix4f`	`mul(Matrix4f right)` Multiply this matrix by the supplied `right` matrix and store the result in `this`.
`Matrix4f`	`mul(Matrix4f right, Matrix4f dest)` Multiply this matrix by the supplied `right` matrix and store the result in `dest`.
`Matrix4f`	`mul4x3(Matrix4f right)` Multiply the top 4x3 submatrix of this matrix by the top 4x3 submatrix of the supplied `right` matrix and store the result in `this`.
`Matrix4f`	`mul4x3(Matrix4f right, Matrix4f dest)` Multiply the top 4x3 submatrix of this matrix by the top 4x3 submatrix of the supplied `right` matrix and store the result in `dest`.
`Matrix4f`	`mul4x3ComponentWise(Matrix4f other)` Component-wise multiply the upper 4x3 submatrices of `this` by `other`.
`Matrix4f`	`mul4x3ComponentWise(Matrix4f other, Matrix4f dest)` Component-wise multiply the upper 4x3 submatrices of `this` by `other` and store the result in `dest`.
`Matrix4f`	`mul4x3r(Matrix4f right)` Multiply this matrix by the top 4x3 submatrix of the supplied `right` matrix and store the result in `this`.
`Matrix4f`	`mul4x3r(Matrix4f right, Matrix4f dest)` Multiply this matrix by the top 4x3 submatrix of the supplied `right` matrix and store the result in `dest`.
`Matrix4f`	`mulComponentWise(Matrix4f other)` Component-wise multiply `this` by `other`.
`Matrix4f`	`mulComponentWise(Matrix4f other, Matrix4f dest)` Component-wise multiply `this` by `other` and store the result in `dest`.
`Matrix4f`	`normal()` Compute a normal matrix from the upper left 3x3 submatrix of `this` and store it into the upper left 3x3 submatrix of `this`.
`Matrix3f`	`normal(Matrix3f dest)` Compute a normal matrix from the upper left 3x3 submatrix of `this` and store it into `dest`.
`Matrix4f`	`normal(Matrix4f dest)` Compute a normal matrix from the upper left 3x3 submatrix of `this` and store it into the upper left 3x3 submatrix of `dest`.
`Matrix4f`	`normalize3x3()` Normalize the upper left 3x3 submatrix of this matrix.
`Matrix3f`	`normalize3x3(Matrix3f dest)` Normalize the upper left 3x3 submatrix of this matrix and store the result in `dest`.
`Matrix4f`	`normalize3x3(Matrix4f dest)` Normalize the upper left 3x3 submatrix of this matrix and store the result in `dest`.
`Vector3f`	`origin(Vector3f origin)` Obtain the position that gets transformed to the origin by `this` matrix.
`Matrix4f`	`ortho(float left, float right, float bottom, float top, float zNear, float zFar)` Apply an orthographic projection transformation to this matrix.
`Matrix4f`	`ortho(float left, float right, float bottom, float top, float zNear, float zFar, Matrix4f dest)` Apply an orthographic projection transformation to this matrix and store the result in `dest`.
`Matrix4f`	`ortho2D(float left, float right, float bottom, float top)` Apply an orthographic projection transformation to this matrix.
`Matrix4f`	`ortho2D(float left, float right, float bottom, float top, Matrix4f dest)` Apply an orthographic projection transformation to this matrix and store the result in `dest`.
`Matrix4f`	`orthoSymmetric(float width, float height, float zNear, float zFar)` Apply a symmetric orthographic projection transformation to this matrix.
`Matrix4f`	`orthoSymmetric(float width, float height, float zNear, float zFar, Matrix4f dest)` Apply a symmetric orthographic projection transformation to this matrix and store the result in `dest`.
`Matrix4f`	`perspective(float fovy, float aspect, float zNear, float zFar)` Apply a symmetric perspective projection frustum transformation to this matrix.
`Matrix4f`	`perspective(float fovy, float aspect, float zNear, float zFar, Matrix4f dest)` Apply a symmetric perspective projection frustum transformation to this matrix and store the result in `dest`.
`float`	`perspectiveFov()` Return the vertical field-of-view angle in radians of this perspective transformation matrix.
`Vector3f`	`perspectiveOrigin(Vector3f origin)` Compute the eye/origin of the perspective frustum transformation defined by `this` matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given `origin`.
`Matrix4f`	`pick(float x, float y, float width, float 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.
`Matrix4f`	`pick(float x, float y, float width, float height, int[] viewport, Matrix4f dest)` Apply a picking transformation to this matrix using the given window coordinates `(x, y)` as the pick center and the given `(width, height)` as the size of the picking region in window coordinates, and store the result in `dest`.
`Vector3f`	`positiveX(Vector3f dir)` Obtain the direction of `+X` before the transformation represented by `this` matrix is applied.
`Vector3f`	`positiveY(Vector3f dir)` Obtain the direction of `+Y` before the transformation represented by `this` matrix is applied.
`Vector3f`	`positiveZ(Vector3f dir)` Obtain the direction of `+Z` before the transformation represented by `this` matrix is applied.
`Vector3f`	`project(float x, float y, float z, int[] viewport, Vector3f winCoordsDest)` Project the given `(x, y, z)` position via `this` matrix using the specified viewport and store the resulting window coordinates in `winCoordsDest`.
`Vector4f`	`project(float x, float y, float z, int[] viewport, Vector4f winCoordsDest)` Project the given `(x, y, z)` position via `this` matrix using the specified viewport and store the resulting window coordinates in `winCoordsDest`.
`static void`	`project(float x, float y, float z, Matrix4f projection, Matrix4f view, int[] viewport, Vector4f winCoordsDest)` Project the given `(x, y, z)` position via the given `view` and `projection` matrices using the specified viewport and store the resulting window coordinates in `winCoordsDest`.
`Vector3f`	`project(Vector3f position, int[] viewport, Vector3f winCoordsDest)` Project the given `position` via `this` matrix using the specified viewport and store the resulting window coordinates in `winCoordsDest`.
`Vector4f`	`project(Vector3f position, int[] viewport, Vector4f winCoordsDest)` Project the given `position` via `this` matrix using the specified viewport and store the resulting window coordinates in `winCoordsDest`.
`static void`	`project(Vector3f position, Matrix4f projection, Matrix4f view, int[] viewport, Vector4f winCoordsDest)` Project the given `position` via the given `view` and `projection` matrices using the specified viewport and store the resulting window coordinates in `winCoordsDest`.
`void`	`readExternal(ObjectInput in)`
`Matrix4f`	`reflect(float a, float b, float c, float d)` Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation `xa + yb + z*c + d = 0`.
`Matrix4f`	`reflect(float nx, float ny, float nz, float px, float py, float 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.
`Matrix4f`	`reflect(float nx, float ny, float nz, float px, float py, float pz, Matrix4f dest)` Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in `dest`.
`Matrix4f`	`reflect(float a, float b, float c, float d, Matrix4f dest)` Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation `xa + yb + z*c + d = 0` and store the result in `dest`.
`Matrix4f`	`reflect(Quaternionf orientation, Vector3f 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.
`Matrix4f`	`reflect(Quaternionf orientation, Vector3f point, Matrix4f dest)` Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane, and store the result in `dest`.
`Matrix4f`	`reflect(Vector3f normal, Vector3f 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.
`Matrix4f`	`reflect(Vector3f normal, Vector3f point, Matrix4f dest)` Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in `dest`.
`Matrix4f`	`reflection(float a, float b, float c, float d)` Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the equation `xa + yb + z*c + d = 0`.
`Matrix4f`	`reflection(float nx, float ny, float nz, float px, float py, float 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.
`Matrix4f`	`reflection(Quaternionf orientation, Vector3f 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.
`Matrix4f`	`reflection(Vector3f normal, Vector3f 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.
`Matrix4f`	`rotate(AxisAngle4f axisAngle)` Apply a rotation transformation, rotating about the given `AxisAngle4f`, to this matrix.
`Matrix4f`	`rotate(AxisAngle4f axisAngle, Matrix4f dest)` Apply a rotation transformation, rotating about the given `AxisAngle4f` and store the result in `dest`.
`Matrix4f`	`rotate(float ang, float x, float y, float z)` Apply rotation to this matrix by rotating the given amount of radians about the specified `(x, y, z)` axis.
`Matrix4f`	`rotate(float ang, float x, float y, float z, Matrix4f dest)` Apply rotation to this matrix by rotating the given amount of radians about the specified `(x, y, z)` axis and store the result in `dest`.
`Matrix4f`	`rotate(float angle, Vector3f axis)` Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.
`Matrix4f`	`rotate(float angle, Vector3f axis, Matrix4f dest)` Apply a rotation transformation, rotating the given radians about the specified axis and store the result in `dest`.
`Matrix4f`	`rotate(Quaternionf quat)` Apply the rotation transformation of the given `Quaternionf` to this matrix.
`Matrix4f`	`rotate(Quaternionf quat, Matrix4f dest)` Apply the rotation transformation of the given `Quaternionf` to this matrix and store the result in `dest`.
`Matrix4f`	`rotateX(float ang)` Apply rotation about the X axis to this matrix by rotating the given amount of radians.
`Matrix4f`	`rotateX(float ang, Matrix4f dest)` Apply rotation about the X axis to this matrix by rotating the given amount of radians and store the result in `dest`.
`Matrix4f`	`rotateXYZ(float angleX, float angleY, float angleZ)` Apply rotation of `angleX` radians about the X axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleZ` radians about the Z axis.
`Matrix4f`	`rotateXYZ(float angleX, float angleY, float angleZ, Matrix4f dest)` Apply rotation of `angleX` radians about the X axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleZ` radians about the Z axis and store the result in `dest`.
`Matrix4f`	`rotateXYZ4x3(float angleX, float angleY, float angleZ)` Apply rotation of `angleX` radians about the X axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleZ` radians about the Z axis.
`Matrix4f`	`rotateXYZ4x3(float angleX, float angleY, float angleZ, Matrix4f dest)` Apply rotation of `angleX` radians about the X axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleZ` radians about the Z axis and store the result in `dest`.
`Matrix4f`	`rotateY(float ang)` Apply rotation about the Y axis to this matrix by rotating the given amount of radians.
`Matrix4f`	`rotateY(float ang, Matrix4f dest)` Apply rotation about the Y axis to this matrix by rotating the given amount of radians and store the result in `dest`.
`Matrix4f`	`rotateYXZ(float angleY, float angleX, float angleZ)` Apply rotation of `angleY` radians about the Y axis, followed by a rotation of `angleX` radians about the X axis and followed by a rotation of `angleZ` radians about the Z axis.
`Matrix4f`	`rotateYXZ(float angleY, float angleX, float angleZ, Matrix4f dest)` Apply rotation of `angleY` radians about the Y axis, followed by a rotation of `angleX` radians about the X axis and followed by a rotation of `angleZ` radians about the Z axis and store the result in `dest`.
`Matrix4f`	`rotateYXZ4x3(float angleY, float angleX, float angleZ)` Apply rotation of `angleY` radians about the Y axis, followed by a rotation of `angleX` radians about the X axis and followed by a rotation of `angleZ` radians about the Z axis.
`Matrix4f`	`rotateYXZ4x3(float angleY, float angleX, float angleZ, Matrix4f dest)` Apply rotation of `angleY` radians about the Y axis, followed by a rotation of `angleX` radians about the X axis and followed by a rotation of `angleZ` radians about the Z axis and store the result in `dest`.
`Matrix4f`	`rotateZ(float ang)` Apply rotation about the Z axis to this matrix by rotating the given amount of radians.
`Matrix4f`	`rotateZ(float ang, Matrix4f dest)` Apply rotation about the Z axis to this matrix by rotating the given amount of radians and store the result in `dest`.
`Matrix4f`	`rotateZYX(float angleZ, float angleY, float angleX)` Apply rotation of `angleZ` radians about the Z axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleX` radians about the X axis.
`Matrix4f`	`rotateZYX(float angleZ, float angleY, float angleX, Matrix4f dest)` Apply rotation of `angleZ` radians about the Z axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleX` radians about the X axis and store the result in `dest`.
`Matrix4f`	`rotateZYX4x3(float angleZ, float angleY, float angleX)` Apply rotation of `angleZ` radians about the Z axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleX` radians about the X axis.
`Matrix4f`	`rotateZYX4x3(float angleZ, float angleY, float angleX, Matrix4f dest)` Apply rotation of `angleZ` radians about the Z axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleX` radians about the X axis and store the result in `dest`.
`Matrix4f`	`rotation(AxisAngle4f axisAngle)` Set this matrix to a rotation transformation using the given `AxisAngle4f`.
`Matrix4f`	`rotation(float angle, float x, float y, float z)` Set this matrix to a rotation matrix which rotates the given radians about a given axis.
`Matrix4f`	`rotation(float angle, Vector3f axis)` Set this matrix to a rotation matrix which rotates the given radians about a given axis.
`Matrix4f`	`rotation(Quaternionf quat)` Set this matrix to the rotation transformation of the given `Quaternionf`.
`Matrix4f`	`rotationX(float ang)` Set this matrix to a rotation transformation about the X axis.
`Matrix4f`	`rotationXYZ(float angleX, float angleY, float angleZ)` Set this matrix to a rotation of `angleX` radians about the X axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleZ` radians about the Z axis.
`Matrix4f`	`rotationY(float ang)` Set this matrix to a rotation transformation about the Y axis.
`Matrix4f`	`rotationYXZ(float angleY, float angleX, float angleZ)` Set this matrix to a rotation of `angleY` radians about the Y axis, followed by a rotation of `angleX` radians about the X axis and followed by a rotation of `angleZ` radians about the Z axis.
`Matrix4f`	`rotationZ(float ang)` Set this matrix to a rotation transformation about the Z axis.
`Matrix4f`	`rotationZYX(float angleZ, float angleY, float angleX)` Set this matrix to a rotation of `angleZ` radians about the Z axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleX` radians about the X axis.
`Matrix4f`	`scale(float xyz)` Apply scaling to this matrix by uniformly scaling all base axes by the given `xyz` factor.
`Matrix4f`	`scale(float x, float y, float z)` Apply scaling to this matrix by scaling the base axes by the given x, y and z factors.
`Matrix4f`	`scale(float x, float y, float z, Matrix4f dest)` Apply scaling to the this matrix by scaling the base axes by the given x, y and z factors and store the result in `dest`.
`Matrix4f`	`scale(float xyz, Matrix4f dest)` Apply scaling to this matrix by uniformly scaling all base axes by the given `xyz` factor and store the result in `dest`.
`Matrix4f`	`scale(Vector3f xyz)` Apply scaling to this matrix by scaling the base axes by the given `xyz.x`, `xyz.y` and `xyz.z` factors, respectively.
`Matrix4f`	`scale(Vector3f xyz, Matrix4f dest)` Apply scaling to the this matrix by scaling the base axes by the given `xyz.x`, `xyz.y` and `xyz.z` factors, respectively and store the result in `dest`.
`Matrix4f`	`scaling(float factor)` Set this matrix to be a simple scale matrix, which scales all axes uniformly by the given factor.
`Matrix4f`	`scaling(float x, float y, float z)` Set this matrix to be a simple scale matrix.
`Matrix4f`	`scaling(Vector3f xyz)` Set this matrix to be a simple scale matrix which scales the base axes by `xyz.x`, `xyz.y` and `xyz.z` respectively.
`Matrix4f`	`set(AxisAngle4d axisAngle)` Set this matrix to be equivalent to the rotation specified by the given `AxisAngle4d`.
`Matrix4f`	`set(AxisAngle4f axisAngle)` Set this matrix to be equivalent to the rotation specified by the given `AxisAngle4f`.
`Matrix4f`	`set(ByteBuffer buffer)` Set the values of this matrix by reading 16 float values from the given `ByteBuffer` in column-major order, starting at its current position.
`Matrix4f`	`set(float[] m)` Set the values in the matrix using a float array that contains the matrix elements in column-major order.
`Matrix4f`	`set(float[] m, int off)` Set the values in the matrix using a float array that contains the matrix elements in column-major order.
`Matrix4f`	`set(FloatBuffer buffer)` Set the values of this matrix by reading 16 float values from the given `FloatBuffer` in column-major order, starting at its current position.
`Matrix4f`	`set(float m00, float m01, float m02, float m03, float m10, float m11, float m12, float m13, float m20, float m21, float m22, float m23, float m30, float m31, float m32, float m33)` Set the values within this matrix to the supplied float values.
`Matrix4f`	`set(Matrix3f mat)` Set the upper left 3x3 submatrix of this `Matrix4f` to the given `Matrix3f` and the rest to identity.
`Matrix4f`	`set(Matrix4d m)` Store the values of the given matrix `m` into `this` matrix.
`Matrix4f`	`set(Matrix4f m)` Store the values of the given matrix `m` into `this` matrix.
`Matrix4f`	`set(Quaterniond q)` Set this matrix to be equivalent to the rotation specified by the given `Quaterniond`.
`Matrix4f`	`set(Quaternionf q)` Set this matrix to be equivalent to the rotation specified by the given `Quaternionf`.
`Matrix4f`	`set3x3(Matrix3f mat)` Set the upper 3x3 matrix of this `Matrix4f` to the given `Matrix3f` and the rest to the identity.
`Matrix4f`	`set3x3(Matrix4f mat)` Set the upper left 3x3 submatrix of this `Matrix4f` to that of the given `Matrix4f` and the rest to identity.
`Matrix4f`	`setFrustum(float left, float right, float bottom, float top, float zNear, float zFar)` Set this matrix to be an arbitrary perspective projection frustum transformation.
`Matrix4f`	`setLookAlong(float dirX, float dirY, float dirZ, float upX, float upY, float upZ)` Set this matrix to a rotation transformation to make `-z` point along `dir`.
`Matrix4f`	`setLookAlong(Vector3f dir, Vector3f up)` Set this matrix to a rotation transformation to make `-z` point along `dir`.
`Matrix4f`	`setLookAt(float eyeX, float eyeY, float eyeZ, float centerX, float centerY, float centerZ, float upX, float upY, float upZ)` Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns `-z` with `center - eye`.
`Matrix4f`	`setLookAt(Vector3f eye, Vector3f center, Vector3f up)` Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns `-z` with `center - eye`.
`Matrix4f`	`setOrtho(float left, float right, float bottom, float top, float zNear, float zFar)` Set this matrix to be an orthographic projection transformation.
`Matrix4f`	`setOrtho2D(float left, float right, float bottom, float top)` Set this matrix to be an orthographic projection transformation.
`Matrix4f`	`setOrthoSymmetric(float width, float height, float zNear, float zFar)` Set this matrix to be a symmetric orthographic projection transformation.
`Matrix4f`	`setPerspective(float fovy, float aspect, float zNear, float zFar)` Set this matrix to be a symmetric perspective projection frustum transformation.
`Matrix4f`	`setRotationXYZ(float angleX, float angleY, float angleZ)` Set only the upper left 3x3 submatrix of this matrix to a rotation of `angleX` radians about the X axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleZ` radians about the Z axis.
`Matrix4f`	`setRotationYXZ(float angleY, float angleX, float angleZ)` Set only the upper left 3x3 submatrix of this matrix to a rotation of `angleY` radians about the Y axis, followed by a rotation of `angleX` radians about the X axis and followed by a rotation of `angleZ` radians about the Z axis.
`Matrix4f`	`setRotationZYX(float angleZ, float angleY, float angleX)` Set only the upper left 3x3 submatrix of this matrix to a rotation of `angleZ` radians about the Z axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleX` radians about the X axis.
`Matrix4f`	`setTranslation(float x, float y, float z)` Set only the translation components `(m30, m31, m32)` of this matrix to the given values `(x, y, z)`.
`Matrix4f`	`setTranslation(Vector3f xyz)` Set only the translation components `(m30, m31, m32)` of this matrix to the values `(xyz.x, xyz.y, xyz.z)`.
`Matrix4f`	`shadow(float lightX, float lightY, float lightZ, float lightW, float a, float b, float c, float d)` Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation `xa + yb + z*c + d = 0` as if casting a shadow from a given light position/direction `(lightX, lightY, lightZ, lightW)`.
`Matrix4f`	`shadow(float lightX, float lightY, float lightZ, float lightW, float a, float b, float c, float d, Matrix4f dest)` Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation `xa + yb + z*c + d = 0` as if casting a shadow from a given light position/direction `(lightX, lightY, lightZ, lightW)` and store the result in `dest`.
`Matrix4f`	`shadow(float lightX, float lightY, float lightZ, float lightW, Matrix4f planeTransform)` Apply a projection transformation to this matrix that projects onto the plane with the general plane equation `y = 0` as if casting a shadow from a given light position/direction `(lightX, lightY, lightZ, lightW)`.
`Matrix4f`	`shadow(float lightX, float lightY, float lightZ, float lightW, Matrix4f planeTransform, Matrix4f dest)` Apply a projection transformation to this matrix that projects onto the plane with the general plane equation `y = 0` as if casting a shadow from a given light position/direction `(lightX, lightY, lightZ, lightW)` and store the result in `dest`.
`Matrix4f`	`shadow(Vector4f light, float a, float b, float c, float d)` Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation `xa + yb + z*c + d = 0` as if casting a shadow from a given light position/direction `light`.
`Matrix4f`	`shadow(Vector4f light, float a, float b, float c, float d, Matrix4f dest)` Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation `xa + yb + z*c + d = 0` as if casting a shadow from a given light position/direction `light` and store the result in `dest`.
`Matrix4f`	`shadow(Vector4f light, Matrix4f planeTransform)` Apply a projection transformation to this matrix that projects onto the plane with the general plane equation `y = 0` as if casting a shadow from a given light position/direction `light`.
`Matrix4f`	`shadow(Vector4f light, Matrix4f planeTransform, Matrix4f dest)` Apply a projection transformation to this matrix that projects onto the plane with the general plane equation `y = 0` as if casting a shadow from a given light position/direction `light` and store the result in `dest`.
`Matrix4f`	`sub(Matrix4f subtrahend)` Component-wise subtract `subtrahend` from `this`.
`Matrix4f`	`sub(Matrix4f subtrahend, Matrix4f dest)` Component-wise subtract `subtrahend` from `this` and store the result in `dest`.
`Matrix4f`	`sub4x3(Matrix4f subtrahend)` Component-wise subtract the upper 4x3 submatrices of `subtrahend` from `this`.
`Matrix4f`	`sub4x3(Matrix4f subtrahend, Matrix4f dest)` Component-wise subtract the upper 4x3 submatrices of `subtrahend` from `this` and store the result in `dest`.
`Matrix4f`	`swap(Matrix4f other)` Exchange the values of `this` matrix with the given `other` matrix.
`String`	`toString()` Return a string representation of this matrix.
`String`	`toString(NumberFormat formatter)` Return a string representation of this matrix by formatting the matrix elements with the given `NumberFormat`.
`Vector4f`	`transform(Vector4f v)` Transform/multiply the given vector by this matrix and store the result in that vector.
`Vector4f`	`transform(Vector4f v, Vector4f dest)` Transform/multiply the given vector by this matrix and store the result in `dest`.
`Vector4f`	`transformAffine(Vector4f v)` Transform/multiply the given 4D-vector by assuming that `this` matrix represents an `affine` transformation (i.e. its last row is equal to `(0, 0, 0, 1)`).
`Vector4f`	`transformAffine(Vector4f v, Vector4f dest)` Transform/multiply the given 4D-vector by assuming that `this` matrix represents an `affine` transformation (i.e. its last row is equal to `(0, 0, 0, 1)`) and store the result in `dest`.
`Vector3f`	`transformDirection(Vector3f v)` Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in that vector.
`Vector3f`	`transformDirection(Vector3f v, Vector3f dest)` Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in `dest`.
`Vector3f`	`transformPosition(Vector3f v)` Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in that vector.
`Vector3f`	`transformPosition(Vector3f v, Vector3f dest)` Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in `dest`.
`Vector3f`	`transformProject(Vector3f v)` Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.
`Vector3f`	`transformProject(Vector3f v, Vector3f dest)` Transform/multiply the given vector by this matrix, perform perspective divide and store the result in `dest`.
`Vector4f`	`transformProject(Vector4f v)` Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.
`Vector4f`	`transformProject(Vector4f v, Vector4f dest)` Transform/multiply the given vector by this matrix, perform perspective divide and store the result in `dest`.
`Matrix4f`	`translate(float x, float y, float z)` Apply a translation to this matrix by translating by the given number of units in x, y and z.
`Matrix4f`	`translate(float x, float y, float z, Matrix4f dest)` Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in `dest`.
`Matrix4f`	`translate(Vector3f offset)` Apply a translation to this matrix by translating by the given number of units in x, y and z.
`Matrix4f`	`translate(Vector3f offset, Matrix4f dest)` Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in `dest`.
`Matrix4f`	`translation(float x, float y, float z)` Set this matrix to be a simple translation matrix.
`Matrix4f`	`translation(Vector3f offset)` Set this matrix to be a simple translation matrix.
`Matrix4f`	`translationRotate(float tx, float ty, float tz, Quaternionf quat)` Set `this` matrix to `T * R`, where `T` is a translation by the given `(tx, ty, tz)` and `R` is a rotation transformation specified by the given quaternion.
`Matrix4f`	`translationRotateScale(float tx, float ty, float tz, float qx, float qy, float qz, float qw, float sx, float sy, float sz)` Set `this` matrix to `T * R * S`, where `T` is a translation by the given `(tx, ty, tz)`, `R` is a rotation transformation specified by the quaternion `(qx, qy, qz, qw)`, and `S` is a scaling transformation which scales the three axes x, y and z by `(sx, sy, sz)`.
`Matrix4f`	`translationRotateScale(Vector3f translation, Quaternionf quat, Vector3f scale)` Set `this` matrix to `T * R * S`, where `T` is the given `translation`, `R` is a rotation transformation specified by the given quaternion, and `S` is a scaling transformation which scales the axes by `scale`.
`Matrix4f`	`transpose()` Transpose this matrix.
`Matrix4f`	`transpose(Matrix4f dest)` Transpose this matrix and store the result in `dest`.
`Matrix4f`	`transpose3x3()` Transpose only the upper left 3x3 submatrix of this matrix and set the rest of the matrix elements to identity.
`Matrix3f`	`transpose3x3(Matrix3f dest)` Transpose only the upper left 3x3 submatrix of this matrix and store the result in `dest`.
`Matrix4f`	`transpose3x3(Matrix4f dest)` Transpose only the upper left 3x3 submatrix of this matrix and store the result in `dest`.
`Vector3f`	`unproject(float winX, float winY, float winZ, int[] viewport, Vector3f dest)` Unproject the given window coordinates `(winX, winY, winZ)` by `this` matrix using the specified viewport.
`Vector4f`	`unproject(float winX, float winY, float winZ, int[] viewport, Vector4f dest)` Unproject the given window coordinates `(winX, winY, winZ)` by `this` matrix using the specified viewport.
`static void`	`unproject(float winX, float winY, float winZ, Matrix4f projection, Matrix4f view, int[] viewport, Matrix4f inverseOut, Vector4f dest)` Unproject the given window coordinates `(winX, winY, winZ)` by the given `view` and `projection` matrices using the specified viewport.
`Vector3f`	`unproject(Vector3f winCoords, int[] viewport, Vector3f dest)` Unproject the given window coordinates `winCoords` by `this` matrix using the specified viewport.
`Vector4f`	`unproject(Vector3f winCoords, int[] viewport, Vector4f dest)` Unproject the given window coordinates `winCoords` by `this` matrix using the specified viewport.
`static void`	`unproject(Vector3f winCoords, Matrix4f projection, Matrix4f view, int[] viewport, Matrix4f inverseOut, Vector4f dest)` Unproject the given window coordinates `winCoords` by the given `view` and `projection` matrices using the specified viewport.
`Vector3f`	`unprojectInv(float winX, float winY, float winZ, int[] viewport, Vector3f dest)` Unproject the given window coordinates `(winX, winY, winZ)` by `this` matrix using the specified viewport.
`Vector4f`	`unprojectInv(float winX, float winY, float winZ, int[] viewport, Vector4f dest)` Unproject the given window coordinates `(winX, winY, winZ)` by `this` matrix using the specified viewport.
`Vector3f`	`unprojectInv(Vector3f winCoords, int[] viewport, Vector3f dest)` Unproject the given window coordinates `winCoords` by `this` matrix using the specified viewport.
`Vector4f`	`unprojectInv(Vector3f winCoords, int[] viewport, Vector4f dest)` Unproject the given window coordinates `winCoords` by `this` matrix using the specified viewport.
`void`	`writeExternal(ObjectOutput out)`
`Matrix4f`	`zero()` Set all the values within this matrix to `0`.

Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait

- Field Detail
  - PLANE_NX
```
public static final int PLANE_NX
```
    Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation x=-1 when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - PLANE_PX
```
public static final int PLANE_PX
```
    Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation x=1 when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - PLANE_NY
```
public static final int PLANE_NY
```
    Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation y=-1 when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - PLANE_PY
```
public static final int PLANE_PY
```
    Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation y=1 when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - PLANE_NZ
```
public static final int PLANE_NZ
```
    Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation z=-1 when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - PLANE_PZ
```
public static final int PLANE_PZ
```
    Argument to the first parameter of frustumPlane(int, Vector4f) identifying the plane with equation z=1 when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - CORNER_NXNYNZ
```
public static final int CORNER_NXNYNZ
```
    Argument to the first parameter of frustumCorner(int, Vector3f) identifying the corner (-1, -1, -1) when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - CORNER_PXNYNZ
```
public static final int CORNER_PXNYNZ
```
    Argument to the first parameter of frustumCorner(int, Vector3f) identifying the corner (1, -1, -1) when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - CORNER_PXPYNZ
```
public static final int CORNER_PXPYNZ
```
    Argument to the first parameter of frustumCorner(int, Vector3f) identifying the corner (1, 1, -1) when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - CORNER_NXPYNZ
```
public static final int CORNER_NXPYNZ
```
    Argument to the first parameter of frustumCorner(int, Vector3f) identifying the corner (-1, 1, -1) when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - CORNER_PXNYPZ
```
public static final int CORNER_PXNYPZ
```
    Argument to the first parameter of frustumCorner(int, Vector3f) identifying the corner (1, -1, 1) when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - CORNER_NXNYPZ
```
public static final int CORNER_NXNYPZ
```
    Argument to the first parameter of frustumCorner(int, Vector3f) identifying the corner (-1, -1, 1) when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - CORNER_NXPYPZ
```
public static final int CORNER_NXPYPZ
```
    Argument to the first parameter of frustumCorner(int, Vector3f) identifying the corner (-1, 1, 1) when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - CORNER_PXPYPZ
```
public static final int CORNER_PXPYPZ
```
    Argument to the first parameter of frustumCorner(int, Vector3f) identifying the corner (1, 1, 1) when using the identity matrix.
    
    See Also:
    
    Constant Field Values
  - m00
```
public float m00
```
  - m10
```
public float m10
```
  - m20
```
public float m20
```
  - m30
```
public float m30
```
  - m01
```
public float m01
```
  - m11
```
public float m11
```
  - m21
```
public float m21
```
  - m31
```
public float m31
```
  - m02
```
public float m02
```
  - m12
```
public float m12
```
  - m22
```
public float m22
```
  - m32
```
public float m32
```
  - m03
```
public float m03
```
  - m13
```
public float m13
```
  - m23
```
public float m23
```
  - m33
```
public float m33
```
- Constructor Detail
  - Matrix4f
```
public Matrix4f()
```
    Create a new Matrix4f and set it to identity.
  - Matrix4f
```
public Matrix4f(Matrix3f mat)
```
    Create a new Matrix4f by setting its uppper left 3x3 submatrix to the values of the given Matrix3f and the rest to identity.
    
    Parameters:
    
    mat - the Matrix3f
  - Matrix4f
```
public Matrix4f(Matrix4f mat)
```
    Create a new Matrix4f and make it a copy of the given matrix.
    
    Parameters:
    
    mat - the Matrix4f to copy the values from
  - Matrix4f
```
public Matrix4f(Matrix4d mat)
```
    Create a new Matrix4f and make it a copy of the given matrix.
    Note that due to the given Matrix4d storing values in double-precision and the constructed Matrix4f storing them in single-precision, there is the possibility of losing precision.
    
    Parameters:
    
    mat - the Matrix4d to copy the values from
  - Matrix4f
```
public Matrix4f(float m00,
                float m01,
                float m02,
                float m03,
                float m10,
                float m11,
                float m12,
                float m13,
                float m20,
                float m21,
                float m22,
                float m23,
                float m30,
                float m31,
                float m32,
                float m33)
```
    Create a new 4x4 matrix using the supplied float values.
    
    Parameters:
    
    m00 - the value of m00
    
    m01 - the value of m01
    
    m02 - the value of m02
    
    m03 - the value of m03
    
    m10 - the value of m10
    
    m11 - the value of m11
    
    m12 - the value of m12
    
    m13 - the value of m13
    
    m20 - the value of m20
    
    m21 - the value of m21
    
    m22 - the value of m22
    
    m23 - the value of m23
    
    m30 - the value of m30
    
    m31 - the value of m31
    
    m32 - the value of m32
    
    m33 - the value of m33
  - Matrix4f
```
public Matrix4f(FloatBuffer buffer)
```
    Create a new Matrix4f by reading its 16 float components from the given FloatBuffer at the buffer's current position.
    That FloatBuffer is expected to hold the values in column-major order.
    The buffer's position will not be changed by this method.
    
    Parameters:
    
    buffer - the FloatBuffer to read the matrix values from
- Method Detail
  - identity
```
public Matrix4f 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 to identity() 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 Matrix4f set(Matrix4f m)
```
    Store the values of the given matrix m into this matrix.
    
    Parameters:
    
    m - the matrix to copy the values from
    
    Returns:
    
    this
    
    See Also:
    
    Matrix4f(Matrix4f), get(Matrix4f)
  - set
```
public Matrix4f set(Matrix4d m)
```
    Store the values of the given matrix m into this matrix.
    Note that due to the given matrix m storing values in double-precision and this matrix storing them in single-precision, there is the possibility to lose precision.
    
    Parameters:
    
    m - the matrix to copy the values from
    
    Returns:
    
    this
    
    See Also:
    
    Matrix4f(Matrix4d), get(Matrix4d)
  - set
```
public Matrix4f set(Matrix3f mat)
```
    Set the upper left 3x3 submatrix of this Matrix4f to the given Matrix3f and the rest to identity.
    
    Parameters:
    
    mat - the Matrix3f
    
    Returns:
    
    this
    
    See Also:
    
    Matrix4f(Matrix3f)
  - set
```
public Matrix4f set(AxisAngle4f axisAngle)
```
    Set this matrix to be equivalent to the rotation specified by the given AxisAngle4f.
    
    Parameters:
    
    axisAngle - the AxisAngle4f
    
    Returns:
    
    this
  - set
```
public Matrix4f set(AxisAngle4d axisAngle)
```
    Set this matrix to be equivalent to the rotation specified by the given AxisAngle4d.
    
    Parameters:
    
    axisAngle - the AxisAngle4d
    
    Returns:
    
    this
  - set
```
public Matrix4f set(Quaternionf q)
```
    Set this matrix to be equivalent to the rotation specified by the given Quaternionf.
    
    Parameters:
    
    q - the Quaternionf
    
    Returns:
    
    this
    
    See Also:
    
    Quaternionf.get(Matrix4f)
  - set
```
public Matrix4f set(Quaterniond q)
```
    Set this matrix to be equivalent to the rotation specified by the given Quaterniond.
    
    Parameters:
    
    q - the Quaterniond
    
    Returns:
    
    this
    
    See Also:
    
    Quaterniond.get(Matrix4f)
  - set3x3
```
public Matrix4f set3x3(Matrix4f mat)
```
    Set the upper left 3x3 submatrix of this Matrix4f to that of the given Matrix4f and the rest to identity.
    
    Parameters:
    
    mat - the Matrix4f
    
    Returns:
    
    this
  - mul
```
public Matrix4f mul(Matrix4f right)
```
    Multiply this matrix by the supplied right matrix and store the result in this.
    If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Parameters:
    
    right - the right operand of the matrix multiplication
    
    Returns:
    
    this
  - mul
```
public Matrix4f mul(Matrix4f right,
                    Matrix4f dest)
```
    Multiply this matrix by the supplied right matrix and store the result in dest.
    If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Parameters:
    
    right - the right operand of the matrix multiplication
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - mul4x3r
```
public Matrix4f mul4x3r(Matrix4f right)
```
    Multiply this matrix by the top 4x3 submatrix of the supplied right matrix and store the result in this.
    This method assumes that the given right matrix represents an affine 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 is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Parameters:
    
    right - the right operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))
    
    Returns:
    
    this
  - mul4x3r
```
public Matrix4f mul4x3r(Matrix4f right,
                        Matrix4f dest)
```
    Multiply this matrix by the top 4x3 submatrix of the supplied right matrix and store the result in dest.
    This method assumes that the given right matrix represents an affine 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 is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Parameters:
    
    right - the right operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - mul4x3
```
public Matrix4f mul4x3(Matrix4f right)
```
    Multiply the top 4x3 submatrix of this matrix by the top 4x3 submatrix of the supplied right matrix and store the result in this.
    This method assumes that this matrix and the given right matrix both represent an affine 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 of right.
    If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Parameters:
    
    right - the right operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))
    
    Returns:
    
    this
  - mul4x3
```
public Matrix4f mul4x3(Matrix4f right,
                       Matrix4f dest)
```
    Multiply the top 4x3 submatrix of this matrix by the top 4x3 submatrix of the supplied right matrix and store the result in dest.
    This method assumes that this matrix and the given right matrix both represent an affine 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 of right.
    If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Parameters:
    
    right - the right operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - fma4x3
```
public Matrix4f fma4x3(Matrix4f other,
                       float otherFactor)
```
    Component-wise add the upper 4x3 submatrices of this and other by first multiplying each component of other's 4x3 submatrix by otherFactor and adding that result to this.
    The matrix other will not be changed.
    
    Parameters:
    
    other - the other matrix
    
    otherFactor - the factor to multiply each of the other matrix's 4x3 components
    
    Returns:
    
    this
  - fma4x3
```
public Matrix4f fma4x3(Matrix4f other,
                       float otherFactor,
                       Matrix4f dest)
```
    Component-wise add the upper 4x3 submatrices of this and other by first multiplying each component of other's 4x3 submatrix by otherFactor, adding that to this and storing the final result in dest.
    The other components of dest will be set to the ones of this.
    The matrices this and other will not be changed.
    
    Parameters:
    
    other - the other matrix
    
    otherFactor - the factor to multiply each of the other matrix's 4x3 components
    
    dest - will hold the result
    
    Returns:
    
    dest
  - add
```
public Matrix4f add(Matrix4f other)
```
    Component-wise add this and other.
    
    Parameters:
    
    other - the other addend
    
    Returns:
    
    this
  - add
```
public Matrix4f add(Matrix4f other,
                    Matrix4f dest)
```
    Component-wise add this and other and store the result in dest.
    
    Parameters:
    
    other - the other addend
    
    dest - will hold the result
    
    Returns:
    
    dest
  - sub
```
public Matrix4f sub(Matrix4f subtrahend)
```
    Component-wise subtract subtrahend from this.
    
    Parameters:
    
    subtrahend - the subtrahend
    
    Returns:
    
    this
  - sub
```
public Matrix4f sub(Matrix4f subtrahend,
                    Matrix4f dest)
```
    Component-wise subtract subtrahend from this and store the result in dest.
    
    Parameters:
    
    subtrahend - the subtrahend
    
    dest - will hold the result
    
    Returns:
    
    dest
  - mulComponentWise
```
public Matrix4f mulComponentWise(Matrix4f other)
```
    Component-wise multiply this by other.
    
    Parameters:
    
    other - the other matrix
    
    Returns:
    
    this
  - mulComponentWise
```
public Matrix4f mulComponentWise(Matrix4f other,
                                 Matrix4f dest)
```
    Component-wise multiply this by other and store the result in dest.
    
    Parameters:
    
    other - the other matrix
    
    dest - will hold the result
    
    Returns:
    
    dest
  - add4x3
```
public Matrix4f add4x3(Matrix4f other)
```
    Component-wise add the upper 4x3 submatrices of this and other.
    
    Parameters:
    
    other - the other addend
    
    Returns:
    
    this
  - add4x3
```
public Matrix4f add4x3(Matrix4f other,
                       Matrix4f dest)
```
    Component-wise add the upper 4x3 submatrices of this and other and store the result in dest.
    The other components of dest will be set to the ones of this.
    
    Parameters:
    
    other - the other addend
    
    dest - will hold the result
    
    Returns:
    
    dest
  - sub4x3
```
public Matrix4f sub4x3(Matrix4f subtrahend)
```
    Component-wise subtract the upper 4x3 submatrices of subtrahend from this.
    
    Parameters:
    
    subtrahend - the subtrahend
    
    Returns:
    
    this
  - sub4x3
```
public Matrix4f sub4x3(Matrix4f subtrahend,
                       Matrix4f dest)
```
    Component-wise subtract the upper 4x3 submatrices of subtrahend from this and store the result in dest.
    The other components of dest will be set to the ones of this.
    
    Parameters:
    
    subtrahend - the subtrahend
    
    dest - will hold the result
    
    Returns:
    
    dest
  - mul4x3ComponentWise
```
public Matrix4f mul4x3ComponentWise(Matrix4f other)
```
    Component-wise multiply the upper 4x3 submatrices of this by other.
    
    Parameters:
    
    other - the other matrix
    
    Returns:
    
    this
  - mul4x3ComponentWise
```
public Matrix4f mul4x3ComponentWise(Matrix4f other,
                                    Matrix4f dest)
```
    Component-wise multiply the upper 4x3 submatrices of this by other and store the result in dest.
    The other components of dest will be set to the ones of this.
    
    Parameters:
    
    other - the other matrix
    
    dest - will hold the result
    
    Returns:
    
    dest
  - set
```
public Matrix4f set(float m00,
                    float m01,
                    float m02,
                    float m03,
                    float m10,
                    float m11,
                    float m12,
                    float m13,
                    float m20,
                    float m21,
                    float m22,
                    float m23,
                    float m30,
                    float m31,
                    float m32,
                    float m33)
```
    Set the values within this matrix to the supplied float 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 m00
    
    m01 - the new value of m01
    
    m02 - the new value of m02
    
    m03 - the new value of m03
    
    m10 - the new value of m10
    
    m11 - the new value of m11
    
    m12 - the new value of m12
    
    m13 - the new value of m13
    
    m20 - the new value of m20
    
    m21 - the new value of m21
    
    m22 - the new value of m22
    
    m23 - the new value of m23
    
    m30 - the new value of m30
    
    m31 - the new value of m31
    
    m32 - the new value of m32
    
    m33 - the new value of m33
    
    Returns:
    
    this
  - set
```
public Matrix4f set(float[] m,
                    int off)
```
    Set the values in the matrix using a float array that contains the matrix elements in column-major order.
    The results will look like this:
    
    0, 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
    
    off - the offset into the array
    
    Returns:
    
    this
    
    See Also:
    
    set(float[])
  - set
```
public Matrix4f set(float[] m)
```
    Set the values in the matrix using a float array that contains the matrix elements in column-major order.
    The results will look like this:
    
    0, 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 Matrix4f set(FloatBuffer buffer)
```
    Set the values of this matrix by reading 16 float values from the given FloatBuffer in column-major order, starting at its current position.
    The FloatBuffer is expected to contain the values in column-major order.
    The position of the FloatBuffer will not be changed by this method.
    
    Parameters:
    
    buffer - the FloatBuffer to read the matrix values from in column-major order
    
    Returns:
    
    this
  - set
```
public Matrix4f set(ByteBuffer buffer)
```
    Set the values of this matrix by reading 16 float values from the given ByteBuffer in column-major order, starting at its current position.
    The ByteBuffer is expected to contain the values in column-major order.
    The position of the ByteBuffer will not be changed by this method.
    
    Parameters:
    
    buffer - the ByteBuffer to read the matrix values from in column-major order
    
    Returns:
    
    this
  - determinant
```
public float determinant()
```
    Return the determinant of this matrix.
    If this matrix represents an affine transformation, such as translation, rotation, scaling and shearing, and thus its last row is equal to (0, 0, 0, 1), then determinant4x3() can be used instead of this method.
    
    Returns:
    
    the determinant
    
    See Also:
    
    determinant4x3()
  - determinant3x3
```
public float determinant3x3()
```
    Return the determinant of the upper left 3x3 submatrix of this matrix.
    
    Returns:
    
    the determinant
  - determinant4x3
```
public float determinant4x3()
```
    Return the determinant of this matrix by assuming that it represents an affine transformation and thus its last row is equal to (0, 0, 0, 1).
    
    Returns:
    
    the determinant
  - invert
```
public Matrix4f invert(Matrix4f dest)
```
    Invert this matrix and write the result into dest.
    If this matrix represents an affine transformation, such as translation, rotation, scaling and shearing, and thus its last row is equal to (0, 0, 0, 1), then invert4x3(Matrix4f) can be used instead of this method.
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    invert4x3(Matrix4f)
  - invert
```
public Matrix4f invert()
```
    Invert this matrix.
    If this matrix represents an affine transformation, such as translation, rotation, scaling and shearing, and thus its last row is equal to (0, 0, 0, 1), then invert4x3() can be used instead of this method.
    
    Returns:
    
    this
    
    See Also:
    
    invert4x3()
  - invert4x3
```
public Matrix4f invert4x3(Matrix4f dest)
```
    Invert this matrix by assuming that it is an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)) and write the result into dest.
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - invert4x3
```
public Matrix4f invert4x3()
```
    Invert this matrix by assuming that it is an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)).
    
    Returns:
    
    this
  - transpose
```
public Matrix4f transpose(Matrix4f dest)
```
    Transpose this matrix and store the result in dest.
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - transpose3x3
```
public Matrix4f transpose3x3()
```
    Transpose only the upper left 3x3 submatrix of this matrix and set the rest of the matrix elements to identity.
    
    Returns:
    
    this
  - transpose3x3
```
public Matrix4f transpose3x3(Matrix4f dest)
```
    Transpose only the upper left 3x3 submatrix of this matrix and store the result in dest.
    All other matrix elements of dest will be set to identity.
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - transpose3x3
```
public Matrix3f transpose3x3(Matrix3f dest)
```
    Transpose only the upper left 3x3 submatrix of this matrix and store the result in dest.
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - transpose
```
public Matrix4f transpose()
```
    Transpose this matrix.
    
    Returns:
    
    this
  - translation
```
public Matrix4f translation(float x,
                            float y,
                            float 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.
    In order to post-multiply a translation transformation directly to a matrix, use translate() instead.
    
    Parameters:
    
    x - the offset to translate in x
    
    y - the offset to translate in y
    
    z - the offset to translate in z
    
    Returns:
    
    this
    
    See Also:
    
    translate(float, float, float)
  - translation
```
public Matrix4f translation(Vector3f 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.
    In order to post-multiply a translation transformation directly to a matrix, use translate() instead.
    
    Parameters:
    
    offset - the offsets in x, y and z to translate
    
    Returns:
    
    this
    
    See Also:
    
    translate(float, float, float)
  - setTranslation
```
public Matrix4f setTranslation(float x,
                               float y,
                               float z)
```
    Set only the translation components (m30, m31, m32) of this matrix to the given values (x, y, z).
    Note that this will only work properly for orthogonal matrices (without any perspective).
    To build a translation matrix instead, use translation(float, float, float). To apply a translation to another matrix, use translate(float, float, float).
    
    Parameters:
    
    x - the offset to translate in x
    
    y - the offset to translate in y
    
    z - the offset to translate in z
    
    Returns:
    
    this
    
    See Also:
    
    translation(float, float, float), translate(float, float, float)
  - setTranslation
```
public Matrix4f setTranslation(Vector3f xyz)
```
    Set only the translation components (m30, m31, m32) of this matrix to the values (xyz.x, xyz.y, xyz.z).
    Note that this will only work properly for orthogonal matrices (without any perspective).
    To build a translation matrix instead, use translation(Vector3f). To apply a translation to another matrix, use translate(Vector3f).
    
    Parameters:
    
    xyz - the units to translate in (x, y, z)
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3f), translate(Vector3f)
  - getTranslation
```
public Vector3f getTranslation(Vector3f dest)
```
    Get only the translation components (m30, m31, m32) of this matrix and store them in the given vector xyz.
    
    Parameters:
    
    dest - will hold the translation components of this matrix
    
    Returns:
    
    dest
  - getScale
```
public Vector3f getScale(Vector3f dest)
```
    Get the scaling factors of this matrix for the three base axes.
    
    Parameters:
    
    dest - will hold the scaling factors for x, y and z
    
    Returns:
    
    dest
  - toString
```
public String toString()
```
    Return a string representation of this matrix.
    This method creates a new DecimalFormat on every invocation with the format string " 0.000E0; -".
    
    Overrides:
    
    toString in class Object
    
    Returns:
    
    the string representation
  - toString
```
public String toString(NumberFormat formatter)
```
    Return a string representation of this matrix by formatting the matrix elements with the given NumberFormat.
    
    Parameters:
    
    formatter - the NumberFormat used to format the matrix values with
    
    Returns:
    
    the string representation
  - get
```
public Matrix4f get(Matrix4f dest)
```
    Get the current values of this matrix and store them into dest.
    This is the reverse method of set(Matrix4f) and allows to obtain intermediate calculation results when chaining multiple transformations.
    
    Parameters:
    
    dest - the destination matrix
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    set(Matrix4f)
  - get
```
public Matrix4d get(Matrix4d dest)
```
    Get the current values of this matrix and store them into dest.
    This is the reverse method of set(Matrix4d) and allows to obtain intermediate calculation results when chaining multiple transformations.
    
    Parameters:
    
    dest - the destination matrix
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    set(Matrix4d)
  - get3x3
```
public Matrix3f get3x3(Matrix3f dest)
```
    Get the current values of the upper left 3x3 submatrix of this matrix and store them into dest.
    
    Parameters:
    
    dest - the destination matrix
    
    Returns:
    
    the passed in destination
  - get3x3
```
public Matrix3d get3x3(Matrix3d dest)
```
    Get the current values of the upper left 3x3 submatrix of this matrix and store them into dest.
    
    Parameters:
    
    dest - the destination matrix
    
    Returns:
    
    the passed in destination
  - getRotation
```
public AxisAngle4f getRotation(AxisAngle4f dest)
```
    Get the rotational component of this matrix and store the represented rotation into the given AxisAngle4f.
    
    Parameters:
    
    dest - the destination AxisAngle4f
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    AxisAngle4f.set(Matrix4f)
  - getRotation
```
public AxisAngle4d getRotation(AxisAngle4d dest)
```
    Get the rotational component of this matrix and store the represented rotation into the given AxisAngle4d.
    
    Parameters:
    
    dest - the destination AxisAngle4d
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    AxisAngle4f.set(Matrix4d)
  - getUnnormalizedRotation
```
public Quaternionf getUnnormalizedRotation(Quaternionf dest)
```
    Get the current values of this matrix and store the represented rotation into the given Quaternionf.
    This method assumes that the first three column vectors of the upper left 3x3 submatrix are not normalized and thus allows to ignore any additional scaling factor that is applied to the matrix.
    
    Parameters:
    
    dest - the destination Quaternionf
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    Quaternionf.setFromUnnormalized(Matrix4f)
  - getNormalizedRotation
```
public Quaternionf getNormalizedRotation(Quaternionf dest)
```
    Get the current values of this matrix and store the represented rotation into the given Quaternionf.
    This method assumes that the first three column vectors of the upper left 3x3 submatrix are normalized.
    
    Parameters:
    
    dest - the destination Quaternionf
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    Quaternionf.setFromNormalized(Matrix4f)
  - getUnnormalizedRotation
```
public Quaterniond getUnnormalizedRotation(Quaterniond dest)
```
    Get the current values of this matrix and store the represented rotation into the given Quaterniond.
    This method assumes that the first three column vectors of the upper left 3x3 submatrix are not normalized and thus allows to ignore any additional scaling factor that is applied to the matrix.
    
    Parameters:
    
    dest - the destination Quaterniond
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    Quaterniond.setFromUnnormalized(Matrix4f)
  - getNormalizedRotation
```
public Quaterniond getNormalizedRotation(Quaterniond dest)
```
    Get the current values of this matrix and store the represented rotation into the given Quaterniond.
    This method assumes that the first three column vectors of the upper left 3x3 submatrix are normalized.
    
    Parameters:
    
    dest - the destination Quaterniond
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    Quaterniond.setFromNormalized(Matrix4f)
  - get
```
public FloatBuffer get(FloatBuffer buffer)
```
    Store this matrix in column-major order into the supplied FloatBuffer at the current buffer position.
    This method will not increment the position of the given FloatBuffer.
    In order to specify the offset into the FloatBuffer at which the matrix is stored, use get(int, FloatBuffer), taking the absolute position as parameter.
    
    Parameters:
    
    buffer - will receive the values of this matrix in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    get(int, FloatBuffer)
  - get
```
public FloatBuffer get(int index,
                       FloatBuffer buffer)
```
    Store this matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.
    This method will not increment the position of the given FloatBuffer.
    
    Parameters:
    
    index - the absolute position into the FloatBuffer
    
    buffer - will receive the values of this matrix in column-major order
    
    Returns:
    
    the passed in buffer
  - get
```
public ByteBuffer get(ByteBuffer buffer)
```
    Store this matrix in column-major order into the supplied ByteBuffer at the current buffer position.
    This method will not increment the position of the given ByteBuffer.
    In order to specify the offset into the ByteBuffer at which the matrix is stored, use get(int, ByteBuffer), taking the absolute position as parameter.
    
    Parameters:
    
    buffer - will receive the values of this matrix in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    get(int, ByteBuffer)
  - get
```
public ByteBuffer get(int index,
                      ByteBuffer buffer)
```
    Store this matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
    This method will not increment the position of the given ByteBuffer.
    
    Parameters:
    
    index - the absolute position into the ByteBuffer
    
    buffer - will receive the values of this matrix in column-major order
    
    Returns:
    
    the passed in buffer
  - getTransposed
```
public FloatBuffer getTransposed(FloatBuffer buffer)
```
    Store the transpose of this matrix in column-major order into the supplied FloatBuffer at the current buffer position.
    This method will not increment the position of the given FloatBuffer.
    In order to specify the offset into the FloatBuffer at which the matrix is stored, use getTransposed(int, FloatBuffer), taking the absolute position as parameter.
    
    Parameters:
    
    buffer - will receive the values of this matrix in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    getTransposed(int, FloatBuffer)
  - getTransposed
```
public FloatBuffer getTransposed(int index,
                                 FloatBuffer buffer)
```
    Store the transpose of this matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.
    This method will not increment the position of the given FloatBuffer.
    
    Parameters:
    
    index - the absolute position into the FloatBuffer
    
    buffer - will receive the values of this matrix in column-major order
    
    Returns:
    
    the passed in buffer
  - getTransposed
```
public ByteBuffer getTransposed(ByteBuffer buffer)
```
    Store the transpose of this matrix in column-major order into the supplied ByteBuffer at the current buffer position.
    This method will not increment the position of the given ByteBuffer.
    In order to specify the offset into the ByteBuffer at which the matrix is stored, use getTransposed(int, ByteBuffer), taking the absolute position as parameter.
    
    Parameters:
    
    buffer - will receive the values of this matrix in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    getTransposed(int, ByteBuffer)
  - getTransposed
```
public ByteBuffer getTransposed(int index,
                                ByteBuffer buffer)
```
    Store the transpose of this matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
    This method will not increment the position of the given ByteBuffer.
    
    Parameters:
    
    index - the absolute position into the ByteBuffer
    
    buffer - will receive the values of this matrix in column-major order
    
    Returns:
    
    the passed in buffer
  - get
```
public float[] get(float[] arr,
                   int offset)
```
    Store this matrix into the supplied float array in column-major order at the given offset.
    
    Parameters:
    
    arr - the array to write the matrix values into
    
    offset - the offset into the array
    
    Returns:
    
    the passed in array
  - get
```
public float[] get(float[] arr)
```
    Store this matrix into the supplied float array in column-major order.
    In order to specify an explicit offset into the array, use the method get(float[], int).
    
    Parameters:
    
    arr - the array to write the matrix values into
    
    Returns:
    
    the passed in array
    
    See Also:
    
    get(float[], int)
  - zero
```
public Matrix4f zero()
```
    Set all the values within this matrix to 0.
    
    Returns:
    
    this
  - scaling
```
public Matrix4f scaling(float factor)
```
    Set this matrix to be a simple scale matrix, which scales all axes uniformly by the given factor.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling.
    In order to post-multiply a scaling transformation directly to a matrix, use scale() instead.
    
    Parameters:
    
    factor - the scale factor in x, y and z
    
    Returns:
    
    this
    
    See Also:
    
    scale(float)
  - scaling
```
public Matrix4f scaling(float x,
                        float y,
                        float z)
```
    Set this matrix to be a simple scale matrix.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling.
    In order to post-multiply a scaling transformation directly to a matrix, use scale() instead.
    
    Parameters:
    
    x - the scale in x
    
    y - the scale in y
    
    z - the scale in z
    
    Returns:
    
    this
    
    See Also:
    
    scale(float, float, float)
  - scaling
```
public Matrix4f scaling(Vector3f xyz)
```
    Set this matrix to be a simple scale matrix which scales the base axes by xyz.x, xyz.y and xyz.z respectively.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling.
    In order to post-multiply a scaling transformation directly to a matrix use scale() instead.
    
    Parameters:
    
    xyz - the scale in x, y and z respectively
    
    Returns:
    
    this
    
    See Also:
    
    scale(Vector3f)
  - rotation
```
public Matrix4f rotation(float angle,
                         Vector3f axis)
```
    Set this matrix to a rotation matrix which rotates the given radians about a given axis.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.
    In order to post-multiply a rotation transformation directly to a matrix, use rotate() instead.
    
    Parameters:
    
    angle - the angle in radians
    
    axis - the axis to rotate about (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(float, Vector3f)
  - rotation
```
public Matrix4f rotation(AxisAngle4f axisAngle)
```
    Set this matrix to a rotation transformation using the given AxisAngle4f.
    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:
    
    axisAngle - the AxisAngle4f (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(AxisAngle4f)
  - rotation
```
public Matrix4f rotation(float angle,
                         float x,
                         float y,
                         float z)
```
    Set this matrix to a rotation matrix which rotates the given radians about a given axis.
    The axis described by the three components needs to be a unit vector.
    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:
    
    angle - the angle in radians
    
    x - the x-component of the rotation axis
    
    y - the y-component of the rotation axis
    
    z - the z-component of the rotation axis
    
    Returns:
    
    this
    
    See Also:
    
    rotate(float, float, float, float)
  - rotationX
```
public Matrix4f rotationX(float ang)
```
    Set this matrix to a rotation transformation about the X axis.
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    Returns:
    
    this
  - rotationY
```
public Matrix4f rotationY(float ang)
```
    Set this matrix to a rotation transformation about the Y axis.
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    Returns:
    
    this
  - rotationZ
```
public Matrix4f rotationZ(float ang)
```
    Set this matrix to a rotation transformation about the Z axis.
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    Returns:
    
    this
  - rotationXYZ
```
public Matrix4f rotationXYZ(float angleX,
                            float angleY,
                            float angleZ)
```
    Set this matrix to a rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
    This method is equivalent to calling: rotationX(angleX).rotateY(angleY).rotateZ(angleZ)
    
    Parameters:
    
    angleX - the angle to rotate about X
    
    angleY - the angle to rotate about Y
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - rotationZYX
```
public Matrix4f rotationZYX(float angleZ,
                            float angleY,
                            float angleX)
```
    Set this matrix to a rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
    This method is equivalent to calling: rotationZ(angleZ).rotateY(angleY).rotateX(angleX)
    
    Parameters:
    
    angleZ - the angle to rotate about Z
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    Returns:
    
    this
  - rotationYXZ
```
public Matrix4f rotationYXZ(float angleY,
                            float angleX,
                            float angleZ)
```
    Set this matrix to a rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
    This method is equivalent to calling: rotationY(angleY).rotateX(angleX).rotateZ(angleZ)
    
    Parameters:
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - setRotationXYZ
```
public Matrix4f setRotationXYZ(float angleX,
                               float angleY,
                               float angleZ)
```
    Set only the upper left 3x3 submatrix of this matrix to a rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
    
    Parameters:
    
    angleX - the angle to rotate about X
    
    angleY - the angle to rotate about Y
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - setRotationZYX
```
public Matrix4f setRotationZYX(float angleZ,
                               float angleY,
                               float angleX)
```
    Set only the upper left 3x3 submatrix of this matrix to a rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
    
    Parameters:
    
    angleZ - the angle to rotate about Z
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    Returns:
    
    this
  - setRotationYXZ
```
public Matrix4f setRotationYXZ(float angleY,
                               float angleX,
                               float angleZ)
```
    Set only the upper left 3x3 submatrix of this matrix to a rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
    
    Parameters:
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - rotation
```
public Matrix4f rotation(Quaternionf quat)
```
    Set this matrix to the rotation transformation of the given Quaternionf.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.
    In order to apply the rotation transformation to an existing transformation, use rotate() instead.
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaternionf
    
    Returns:
    
    this
    
    See Also:
    
    rotate(Quaternionf)
  - translationRotateScale
```
public Matrix4f translationRotateScale(float tx,
                                       float ty,
                                       float tz,
                                       float qx,
                                       float qy,
                                       float qz,
                                       float qw,
                                       float sx,
                                       float sy,
                                       float sz)
```
    Set this matrix to T * R * S, where T is a translation by the given (tx, ty, tz), R is a rotation transformation specified by the quaternion (qx, qy, qz, qw), and S is a scaling transformation which scales the three axes x, y and z by (sx, sy, sz).
    When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
    This method is equivalent to calling: translation(tx, ty, tz).rotate(quat).scale(sx, sy, sz)
    
    Parameters:
    
    tx - the number of units by which to translate the x-component
    
    ty - the number of units by which to translate the y-component
    
    tz - the number of units by which to translate the z-component
    
    qx - the x-coordinate of the vector part of the quaternion
    
    qy - the y-coordinate of the vector part of the quaternion
    
    qz - the z-coordinate of the vector part of the quaternion
    
    qw - the scalar part of the quaternion
    
    sx - the scaling factor for the x-axis
    
    sy - the scaling factor for the y-axis
    
    sz - the scaling factor for the z-axis
    
    Returns:
    
    this
    
    See Also:
    
    translation(float, float, float), rotate(Quaternionf), scale(float, float, float)
  - translationRotateScale
```
public Matrix4f translationRotateScale(Vector3f translation,
                                       Quaternionf quat,
                                       Vector3f scale)
```
    Set this matrix to T * R * S, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales the axes by scale.
    When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
    This method is equivalent to calling: translation(translation).rotate(quat).scale(scale)
    
    Parameters:
    
    translation - the translation
    
    quat - the quaternion representing a rotation
    
    scale - the scaling factors
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3f), rotate(Quaternionf)
  - translationRotate
```
public Matrix4f translationRotate(float tx,
                                  float ty,
                                  float tz,
                                  Quaternionf quat)
```
    Set this matrix to T * R, where T is a translation by the given (tx, ty, tz) and R is a rotation transformation specified by the given quaternion.
    When transforming a vector by the resulting matrix the rotation transformation will be applied first and then the translation.
    This method is equivalent to calling: translation(tx, ty, tz).rotate(quat)
    
    Parameters:
    
    tx - the number of units by which to translate the x-component
    
    ty - the number of units by which to translate the y-component
    
    tz - the number of units by which to translate the z-component
    
    quat - the quaternion representing a rotation
    
    Returns:
    
    this
    
    See Also:
    
    translation(float, float, float), rotate(Quaternionf)
  - set3x3
```
public Matrix4f set3x3(Matrix3f mat)
```
    Set the upper 3x3 matrix of this Matrix4f to the given Matrix3f and the rest to the identity.
    
    Parameters:
    
    mat - the 3x3 matrix
    
    Returns:
    
    this
  - transform
```
public Vector4f transform(Vector4f v)
```
    Transform/multiply the given vector by this matrix and store the result in that vector.
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    Returns:
    
    v
    
    See Also:
    
    Vector4f.mul(Matrix4f)
  - transform
```
public Vector4f transform(Vector4f v,
                          Vector4f dest)
```
    Transform/multiply the given vector by this matrix and store the result in dest.
    
    Parameters:
    
    v - the vector to transform
    
    dest - will contain the result
    
    Returns:
    
    dest
    
    See Also:
    
    Vector4f.mul(Matrix4f, Vector4f)
  - transformProject
```
public Vector4f transformProject(Vector4f v)
```
    Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    Returns:
    
    v
    
    See Also:
    
    Vector4f.mulProject(Matrix4f)
  - transformProject
```
public Vector4f transformProject(Vector4f v,
                                 Vector4f dest)
```
    Transform/multiply the given vector by this matrix, perform perspective divide and store the result in dest.
    
    Parameters:
    
    v - the vector to transform
    
    dest - will contain the result
    
    Returns:
    
    dest
    
    See Also:
    
    Vector4f.mulProject(Matrix4f, Vector4f)
  - transformProject
```
public Vector3f transformProject(Vector3f v)
```
    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.
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    Returns:
    
    v
    
    See Also:
    
    Vector3f.mulProject(Matrix4f)
  - transformProject
```
public Vector3f transformProject(Vector3f v,
                                 Vector3f dest)
```
    Transform/multiply the given vector by this matrix, perform perspective divide and store the result in dest.
    This method uses w=1.0 as the fourth vector component.
    
    Parameters:
    
    v - the vector to transform
    
    dest - will contain the result
    
    Returns:
    
    dest
    
    See Also:
    
    Vector3f.mulProject(Matrix4f, Vector3f)
  - transformPosition
```
public Vector3f transformPosition(Vector3f v)
```
    Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in that vector.
    The given 3D-vector is treated as a 4D-vector with its w-component being 1.0, so it will represent a position/location in 3D-space rather than a direction. 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 use transform(Vector4f) or transformProject(Vector3f) when perspective divide should be applied, too.
    In order to store the result in another vector, use transformPosition(Vector3f, Vector3f).
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    Returns:
    
    v
    
    See Also:
    
    transformPosition(Vector3f, Vector3f), transform(Vector4f), transformProject(Vector3f)
  - transformPosition
```
public Vector3f transformPosition(Vector3f v,
                                  Vector3f dest)
```
    Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in dest.
    The given 3D-vector is treated as a 4D-vector with its w-component being 1.0, so it will represent a position/location in 3D-space rather than a direction. 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 use transform(Vector4f, Vector4f) or transformProject(Vector3f, Vector3f) when perspective divide should be applied, too.
    In order to store the result in the same vector, use transformPosition(Vector3f).
    
    Parameters:
    
    v - the vector to transform
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    transformPosition(Vector3f), transform(Vector4f, Vector4f), transformProject(Vector3f, Vector3f)
  - transformDirection
```
public Vector3f transformDirection(Vector3f v)
```
    Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in that vector.
    The given 3D-vector is treated as a 4D-vector with its w-component being 0.0, so it will represent a direction in 3D-space rather than a position. This method will therefore not take the translation part of the matrix into account.
    In order to store the result in another vector, use transformDirection(Vector3f, Vector3f).
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    Returns:
    
    v
    
    See Also:
    
    transformDirection(Vector3f, Vector3f)
  - transformDirection
```
public Vector3f transformDirection(Vector3f v,
                                   Vector3f dest)
```
    Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in dest.
    The given 3D-vector is treated as a 4D-vector with its w-component being 0.0, so it will represent a direction in 3D-space rather than a position. This method will therefore not take the translation part of the matrix into account.
    In order to store the result in the same vector, use transformDirection(Vector3f).
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    transformDirection(Vector3f)
  - transformAffine
```
public Vector4f transformAffine(Vector4f v)
```
    Transform/multiply the given 4D-vector by assuming that this matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)).
    In order to store the result in another vector, use transformAffine(Vector4f, Vector4f).
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    Returns:
    
    v
    
    See Also:
    
    transformAffine(Vector4f, Vector4f)
  - transformAffine
```
public Vector4f transformAffine(Vector4f v,
                                Vector4f dest)
```
    Transform/multiply the given 4D-vector by assuming that this matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)) and store the result in dest.
    In order to store the result in the same vector, use transformAffine(Vector4f).
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    transformAffine(Vector4f)
  - scale
```
public Matrix4f scale(Vector3f xyz,
                      Matrix4f dest)
```
    Apply scaling to the this matrix by scaling the base axes by the given xyz.x, xyz.y and xyz.z factors, respectively and store the result in dest.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!
    
    Parameters:
    
    xyz - the factors of the x, y and z component, respectively
    
    dest - will hold the result
    
    Returns:
    
    dest
  - scale
```
public Matrix4f scale(Vector3f xyz)
```
    Apply scaling to this matrix by scaling the base axes by the given xyz.x, xyz.y and xyz.z factors, respectively.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!
    
    Parameters:
    
    xyz - the factors of the x, y and z component, respectively
    
    Returns:
    
    this
  - scale
```
public Matrix4f scale(float xyz,
                      Matrix4f dest)
```
    Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor and store the result in dest.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!
    Individual scaling of all three axes can be applied using scale(float, float, float, Matrix4f).
    
    Parameters:
    
    xyz - the factor for all components
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    scale(float, float, float, Matrix4f)
  - scale
```
public Matrix4f scale(float xyz)
```
    Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!
    Individual scaling of all three axes can be applied using scale(float, float, float).
    
    Parameters:
    
    xyz - the factor for all components
    
    Returns:
    
    this
    
    See Also:
    
    scale(float, float, float)
  - scale
```
public Matrix4f scale(float x,
                      float y,
                      float z,
                      Matrix4f dest)
```
    Apply scaling to the this matrix by scaling the base axes by the given x, y and z factors and store the result in dest.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!
    
    Parameters:
    
    x - the factor of the x component
    
    y - the factor of the y component
    
    z - the factor of the z component
    
    dest - will hold the result
    
    Returns:
    
    dest
  - scale
```
public Matrix4f scale(float x,
                      float y,
                      float z)
```
    Apply scaling to this matrix by scaling the base axes by the given x, y and z factors.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!
    
    Parameters:
    
    x - the factor of the x component
    
    y - the factor of the y component
    
    z - the factor of the z component
    
    Returns:
    
    this
  - rotateX
```
public Matrix4f rotateX(float ang,
                        Matrix4f dest)
```
    Apply rotation about the X axis to this matrix by rotating the given amount of radians and store the result in dest.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateX
```
public Matrix4f rotateX(float ang)
```
    Apply rotation about the X axis to this matrix by rotating the given amount of radians.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    Returns:
    
    this
  - rotateY
```
public Matrix4f rotateY(float ang,
                        Matrix4f dest)
```
    Apply rotation about the Y axis to this matrix by rotating the given amount of radians and store the result in dest.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateY
```
public Matrix4f rotateY(float ang)
```
    Apply rotation about the Y axis to this matrix by rotating the given amount of radians.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    Returns:
    
    this
  - rotateZ
```
public Matrix4f rotateZ(float ang,
                        Matrix4f dest)
```
    Apply rotation about the Z axis to this matrix by rotating the given amount of radians and store the result in dest.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateZ
```
public Matrix4f rotateZ(float ang)
```
    Apply rotation about the Z axis to this matrix by rotating the given amount of radians.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    Returns:
    
    this
  - rotateXYZ
```
public Matrix4f rotateXYZ(float angleX,
                          float angleY,
                          float angleZ)
```
    Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateX(angleX).rotateY(angleY).rotateZ(angleZ)
    
    Parameters:
    
    angleX - the angle to rotate about X
    
    angleY - the angle to rotate about Y
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - rotateXYZ
```
public Matrix4f rotateXYZ(float angleX,
                          float angleY,
                          float angleZ,
                          Matrix4f dest)
```
    Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateX(angleX, dest).rotateY(angleY).rotateZ(angleZ)
    
    Parameters:
    
    angleX - the angle to rotate about X
    
    angleY - the angle to rotate about Y
    
    angleZ - the angle to rotate about Z
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateXYZ4x3
```
public Matrix4f rotateXYZ4x3(float angleX,
                             float angleY,
                             float angleZ)
```
    Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
    This method assumes that this matrix represents an affine 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 is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateX(angleX).rotateY(angleY).rotateZ(angleZ)
    
    Parameters:
    
    angleX - the angle to rotate about X
    
    angleY - the angle to rotate about Y
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - rotateXYZ4x3
```
public Matrix4f rotateXYZ4x3(float angleX,
                             float angleY,
                             float angleZ,
                             Matrix4f dest)
```
    Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
    This method assumes that this matrix represents an affine 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 is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    
    Parameters:
    
    angleX - the angle to rotate about X
    
    angleY - the angle to rotate about Y
    
    angleZ - the angle to rotate about Z
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateZYX
```
public Matrix4f rotateZYX(float angleZ,
                          float angleY,
                          float angleX)
```
    Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateZ(angleZ).rotateY(angleY).rotateX(angleX)
    
    Parameters:
    
    angleZ - the angle to rotate about Z
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    Returns:
    
    this
  - rotateZYX
```
public Matrix4f rotateZYX(float angleZ,
                          float angleY,
                          float angleX,
                          Matrix4f dest)
```
    Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis and store the result in dest.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateZ(angleZ, dest).rotateY(angleY).rotateX(angleX)
    
    Parameters:
    
    angleZ - the angle to rotate about Z
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateZYX4x3
```
public Matrix4f rotateZYX4x3(float angleZ,
                             float angleY,
                             float angleX)
```
    Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
    This method assumes that this matrix represents an affine 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 is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    
    Parameters:
    
    angleZ - the angle to rotate about Z
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    Returns:
    
    this
  - rotateZYX4x3
```
public Matrix4f rotateZYX4x3(float angleZ,
                             float angleY,
                             float angleX,
                             Matrix4f dest)
```
    Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis and store the result in dest.
    This method assumes that this matrix represents an affine 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 is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    
    Parameters:
    
    angleZ - the angle to rotate about Z
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateYXZ
```
public Matrix4f rotateYXZ(float angleY,
                          float angleX,
                          float angleZ)
```
    Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateY(angleY).rotateX(angleX).rotateZ(angleZ)
    
    Parameters:
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - rotateYXZ
```
public Matrix4f rotateYXZ(float angleY,
                          float angleX,
                          float angleZ,
                          Matrix4f dest)
```
    Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateY(angleY, dest).rotateX(angleX).rotateZ(angleZ)
    
    Parameters:
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    angleZ - the angle to rotate about Z
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateYXZ4x3
```
public Matrix4f rotateYXZ4x3(float angleY,
                             float angleX,
                             float angleZ)
```
    Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
    This method assumes that this matrix represents an affine 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 is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    
    Parameters:
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - rotateYXZ4x3
```
public Matrix4f rotateYXZ4x3(float angleY,
                             float angleX,
                             float angleZ,
                             Matrix4f dest)
```
    Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
    This method assumes that this matrix represents an affine 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 is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    
    Parameters:
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    angleZ - the angle to rotate about Z
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotate
```
public Matrix4f rotate(float ang,
                       float x,
                       float y,
                       float z,
                       Matrix4f dest)
```
    Apply rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.
    The axis described by the three components needs to be a unit vector.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    In order to set the matrix to a rotation matrix without post-multiplying the rotation transformation, use rotation().
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    x - the x component of the axis
    
    y - the y component of the axis
    
    z - the z component of the axis
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(float, float, float, float)
  - rotate
```
public Matrix4f rotate(float ang,
                       float x,
                       float y,
                       float z)
```
    Apply 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.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    In order to set the matrix to a rotation matrix without post-multiplying the rotation transformation, use rotation().
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    x - the x component of the axis
    
    y - the y component of the axis
    
    z - the z component of the axis
    
    Returns:
    
    this
    
    See Also:
    
    rotation(float, float, float, float)
  - translate
```
public Matrix4f translate(Vector3f offset)
```
    Apply a translation to this matrix by translating by the given number of units in x, y and z.
    If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!
    In order to set the matrix to a translation transformation without post-multiplying it, use translation(Vector3f).
    
    Parameters:
    
    offset - the number of units in x, y and z by which to translate
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3f)
  - translate
```
public Matrix4f translate(Vector3f offset,
                          Matrix4f dest)
```
    Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
    If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!
    In order to set the matrix to a translation transformation without post-multiplying it, use translation(Vector3f).
    
    Parameters:
    
    offset - the number of units in x, y and z by which to translate
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    translation(Vector3f)
  - translate
```
public Matrix4f translate(float x,
                          float y,
                          float z,
                          Matrix4f dest)
```
    Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
    If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!
    In order to set the matrix to a translation transformation without post-multiplying it, use translation(float, float, float).
    
    Parameters:
    
    x - the offset to translate in x
    
    y - the offset to translate in y
    
    z - the offset to translate in z
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    translation(float, float, float)
  - translate
```
public Matrix4f translate(float x,
                          float y,
                          float z)
```
    Apply a translation to this matrix by translating by the given number of units in x, y and z.
    If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!
    In order to set the matrix to a translation transformation without post-multiplying it, use translation(float, float, float).
    
    Parameters:
    
    x - the offset to translate in x
    
    y - the offset to translate in y
    
    z - the offset to translate in z
    
    Returns:
    
    this
    
    See Also:
    
    translation(float, float, float)
  - writeExternal
```
public void writeExternal(ObjectOutput out)
                   throws IOException
```
    Specified by:
    
    writeExternal in interface Externalizable
    
    Throws:
    
    IOException
  - readExternal
```
public void readExternal(ObjectInput in)
                  throws IOException,
                         ClassNotFoundException
```
    Specified by:
    
    readExternal in interface Externalizable
    
    Throws:
    
    IOException
    
    ClassNotFoundException
  - ortho
```
public Matrix4f ortho(float left,
                      float right,
                      float bottom,
                      float top,
                      float zNear,
                      float zFar,
                      Matrix4f dest)
```
    Apply an orthographic projection transformation to this matrix and store the result in dest.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setOrtho(float, float, float, float, float, float)
  - ortho
```
public Matrix4f ortho(float left,
                      float right,
                      float bottom,
                      float top,
                      float zNear,
                      float zFar)
```
    Apply an orthographic projection transformation to this matrix.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    Returns:
    
    this
    
    See Also:
    
    setOrtho(float, float, float, float, float, float)
  - setOrtho
```
public Matrix4f setOrtho(float left,
                         float right,
                         float bottom,
                         float top,
                         float zNear,
                         float zFar)
```
    Set this matrix to be an orthographic projection transformation.
    In order to apply the orthographic projection to an already existing transformation, use ortho().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    Returns:
    
    this
    
    See Also:
    
    ortho(float, float, float, float, float, float)
  - orthoSymmetric
```
public Matrix4f orthoSymmetric(float width,
                               float height,
                               float zNear,
                               float zFar,
                               Matrix4f dest)
```
    Apply a symmetric orthographic projection transformation to this matrix and store the result in dest.
    This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().
    Reference: http://www.songho.ca
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setOrthoSymmetric(float, float, float, float)
  - orthoSymmetric
```
public Matrix4f orthoSymmetric(float width,
                               float height,
                               float zNear,
                               float zFar)
```
    Apply a symmetric orthographic projection transformation to this matrix.
    This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().
    Reference: http://www.songho.ca
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    Returns:
    
    this
    
    See Also:
    
    setOrthoSymmetric(float, float, float, float)
  - setOrthoSymmetric
```
public Matrix4f setOrthoSymmetric(float width,
                                  float height,
                                  float zNear,
                                  float zFar)
```
    Set this matrix to be a symmetric orthographic projection transformation.
    This method is equivalent to calling setOrtho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    In order to apply the symmetric orthographic projection to an already existing transformation, use orthoSymmetric().
    Reference: http://www.songho.ca
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    Returns:
    
    this
    
    See Also:
    
    orthoSymmetric(float, float, float, float)
  - ortho2D
```
public Matrix4f ortho2D(float left,
                        float right,
                        float bottom,
                        float top,
                        Matrix4f dest)
```
    Apply an orthographic projection transformation to this matrix and store the result in dest.
    This method is equivalent to calling ortho() with zNear=-1 and zFar=+1.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    ortho(float, float, float, float, float, float, Matrix4f), setOrtho2D(float, float, float, float)
  - ortho2D
```
public Matrix4f ortho2D(float left,
                        float right,
                        float bottom,
                        float top)
```
    Apply an orthographic projection transformation to this matrix.
    This method is equivalent to calling ortho() with zNear=-1 and zFar=+1.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho2D().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    Returns:
    
    this
    
    See Also:
    
    ortho(float, float, float, float, float, float), setOrtho2D(float, float, float, float)
  - setOrtho2D
```
public Matrix4f setOrtho2D(float left,
                           float right,
                           float bottom,
                           float top)
```
    Set this matrix to be an orthographic projection transformation.
    This method is equivalent to calling setOrtho() with zNear=-1 and zFar=+1.
    In order to apply the orthographic projection to an already existing transformation, use ortho2D().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    Returns:
    
    this
    
    See Also:
    
    setOrtho(float, float, float, float, float, float), ortho2D(float, float, float, float)
  - lookAlong
```
public Matrix4f lookAlong(Vector3f dir,
                          Vector3f up)
```
    Apply a rotation transformation to this matrix to make -z point along dir.
    If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!
    This is equivalent to calling lookAt with eye = (0, 0, 0) and center = dir.
    In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong().
    
    Parameters:
    
    dir - the direction in space to look along
    
    up - the direction of 'up'
    
    Returns:
    
    this
    
    See Also:
    
    lookAlong(float, float, float, float, float, float), lookAt(Vector3f, Vector3f, Vector3f), setLookAlong(Vector3f, Vector3f)
  - lookAlong
```
public Matrix4f lookAlong(Vector3f dir,
                          Vector3f up,
                          Matrix4f dest)
```
    Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.
    If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!
    This is equivalent to calling lookAt with eye = (0, 0, 0) and center = dir.
    In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong().
    
    Parameters:
    
    dir - the direction in space to look along
    
    up - the direction of 'up'
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    lookAlong(float, float, float, float, float, float), lookAt(Vector3f, Vector3f, Vector3f), setLookAlong(Vector3f, Vector3f)
  - lookAlong
```
public Matrix4f lookAlong(float dirX,
                          float dirY,
                          float dirZ,
                          float upX,
                          float upY,
                          float upZ,
                          Matrix4f dest)
```
    Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.
    If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!
    This is equivalent to calling lookAt() with eye = (0, 0, 0) and center = dir.
    In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong()
    
    Parameters:
    
    dirX - the x-coordinate of the direction to look along
    
    dirY - the y-coordinate of the direction to look along
    
    dirZ - the z-coordinate of the direction to look along
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    lookAt(float, float, float, float, float, float, float, float, float), setLookAlong(float, float, float, float, float, float)
  - lookAlong
```
public Matrix4f lookAlong(float dirX,
                          float dirY,
                          float dirZ,
                          float upX,
                          float upY,
                          float upZ)
```
    Apply a rotation transformation to this matrix to make -z point along dir.
    If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!
    This is equivalent to calling lookAt() with eye = (0, 0, 0) and center = dir.
    In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong()
    
    Parameters:
    
    dirX - the x-coordinate of the direction to look along
    
    dirY - the y-coordinate of the direction to look along
    
    dirZ - the z-coordinate of the direction to look along
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    Returns:
    
    this
    
    See Also:
    
    lookAt(float, float, float, float, float, float, float, float, float), setLookAlong(float, float, float, float, float, float)
  - setLookAlong
```
public Matrix4f setLookAlong(Vector3f dir,
                             Vector3f up)
```
    Set this matrix to a rotation transformation to make -z point along dir.
    This is equivalent to calling setLookAt() with eye = (0, 0, 0) and center = dir.
    In order to apply the lookalong transformation to any previous existing transformation, use lookAlong(Vector3f, Vector3f).
    
    Parameters:
    
    dir - the direction in space to look along
    
    up - the direction of 'up'
    
    Returns:
    
    this
    
    See Also:
    
    setLookAlong(Vector3f, Vector3f), lookAlong(Vector3f, Vector3f)
  - setLookAlong
```
public Matrix4f setLookAlong(float dirX,
                             float dirY,
                             float dirZ,
                             float upX,
                             float upY,
                             float upZ)
```
    Set this matrix to a rotation transformation to make -z point along dir.
    This is equivalent to calling setLookAt() with eye = (0, 0, 0) and center = dir.
    In order to apply the lookalong transformation to any previous existing transformation, use lookAlong()
    
    Parameters:
    
    dirX - the x-coordinate of the direction to look along
    
    dirY - the y-coordinate of the direction to look along
    
    dirZ - the z-coordinate of the direction to look along
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    Returns:
    
    this
    
    See Also:
    
    setLookAlong(float, float, float, float, float, float), lookAlong(float, float, float, float, float, float)
  - setLookAt
```
public Matrix4f setLookAt(Vector3f eye,
                          Vector3f center,
                          Vector3f up)
```
    Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns -z with center - eye.
    In order to not make use of vectors to specify eye, center and up but use primitives, like in the GLU function, use setLookAt() instead.
    In order to apply the lookat transformation to a previous existing transformation, use lookAt().
    
    Parameters:
    
    eye - the position of the camera
    
    center - the point in space to look at
    
    up - the direction of 'up'
    
    Returns:
    
    this
    
    See Also:
    
    setLookAt(float, float, float, float, float, float, float, float, float), lookAt(Vector3f, Vector3f, Vector3f)
  - setLookAt
```
public Matrix4f setLookAt(float eyeX,
                          float eyeY,
                          float eyeZ,
                          float centerX,
                          float centerY,
                          float centerZ,
                          float upX,
                          float upY,
                          float upZ)
```
    Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns -z with center - eye.
    In order to apply the lookat transformation to a previous existing transformation, use lookAt.
    
    Parameters:
    
    eyeX - the x-coordinate of the eye/camera location
    
    eyeY - the y-coordinate of the eye/camera location
    
    eyeZ - the z-coordinate of the eye/camera location
    
    centerX - the x-coordinate of the point to look at
    
    centerY - the y-coordinate of the point to look at
    
    centerZ - the z-coordinate of the point to look at
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    Returns:
    
    this
    
    See Also:
    
    setLookAt(Vector3f, Vector3f, Vector3f), lookAt(float, float, float, float, float, float, float, float, float)
  - lookAt
```
public Matrix4f lookAt(Vector3f eye,
                       Vector3f center,
                       Vector3f up,
                       Matrix4f dest)
```
    Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt(Vector3f, Vector3f, Vector3f).
    
    Parameters:
    
    eye - the position of the camera
    
    center - the point in space to look at
    
    up - the direction of 'up'
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    lookAt(float, float, float, float, float, float, float, float, float), setLookAlong(Vector3f, Vector3f)
  - lookAt
```
public Matrix4f lookAt(Vector3f eye,
                       Vector3f center,
                       Vector3f up)
```
    Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt(Vector3f, Vector3f, Vector3f).
    
    Parameters:
    
    eye - the position of the camera
    
    center - the point in space to look at
    
    up - the direction of 'up'
    
    Returns:
    
    this
    
    See Also:
    
    lookAt(float, float, float, float, float, float, float, float, float), setLookAlong(Vector3f, Vector3f)
  - lookAt
```
public Matrix4f lookAt(float eyeX,
                       float eyeY,
                       float eyeZ,
                       float centerX,
                       float centerY,
                       float centerZ,
                       float upX,
                       float upY,
                       float upZ,
                       Matrix4f dest)
```
    Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt().
    
    Parameters:
    
    eyeX - the x-coordinate of the eye/camera location
    
    eyeY - the y-coordinate of the eye/camera location
    
    eyeZ - the z-coordinate of the eye/camera location
    
    centerX - the x-coordinate of the point to look at
    
    centerY - the y-coordinate of the point to look at
    
    centerZ - the z-coordinate of the point to look at
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    lookAt(Vector3f, Vector3f, Vector3f), setLookAt(float, float, float, float, float, float, float, float, float)
  - lookAt
```
public Matrix4f lookAt(float eyeX,
                       float eyeY,
                       float eyeZ,
                       float centerX,
                       float centerY,
                       float centerZ,
                       float upX,
                       float upY,
                       float upZ)
```
    Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt().
    
    Parameters:
    
    eyeX - the x-coordinate of the eye/camera location
    
    eyeY - the y-coordinate of the eye/camera location
    
    eyeZ - the z-coordinate of the eye/camera location
    
    centerX - the x-coordinate of the point to look at
    
    centerY - the y-coordinate of the point to look at
    
    centerZ - the z-coordinate of the point to look at
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    Returns:
    
    this
    
    See Also:
    
    lookAt(Vector3f, Vector3f, Vector3f), setLookAt(float, float, float, float, float, float, float, float, float)
  - perspective
```
public Matrix4f perspective(float fovy,
                            float aspect,
                            float zNear,
                            float zFar,
                            Matrix4f dest)
```
    Apply a symmetric perspective projection frustum transformation to this matrix and store the result in dest.
    If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!
    In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspective.
    
    Parameters:
    
    fovy - the vertical field of view in radians (must be greater than zero and less than PI)
    
    aspect - the aspect ratio (i.e. width / height; must be greater than zero)
    
    zNear - near clipping plane distance (must be greater than zero)
    
    zFar - far clipping plane distance (must be greater than zero and greater than zNear)
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setPerspective(float, float, float, float)
  - perspective
```
public Matrix4f perspective(float fovy,
                            float aspect,
                            float zNear,
                            float zFar)
```
    Apply a symmetric perspective projection frustum transformation to this matrix.
    If M is this matrix and P the perspective projection matrix, then the new matrix will be M * P. So when transforming a vector v with the new matrix by using M * P * v, the perspective projection will be applied first!
    In order to set the matrix to a perspective frustum transformation without post-multiplying, use setPerspective.
    
    Parameters:
    
    fovy - the vertical field of view in radians (must be greater than zero and less than PI)
    
    aspect - the aspect ratio (i.e. width / height; must be greater than zero)
    
    zNear - near clipping plane distance (must be greater than zero)
    
    zFar - far clipping plane distance (must be greater than zero and greater than zNear)
    
    Returns:
    
    this
    
    See Also:
    
    setPerspective(float, float, float, float)
  - setPerspective
```
public Matrix4f setPerspective(float fovy,
                               float aspect,
                               float zNear,
                               float zFar)
```
    Set this matrix to be a symmetric perspective projection frustum transformation.
    In order to apply the perspective projection transformation to an existing transformation, use perspective().
    
    Parameters:
    
    fovy - the vertical field of view in radians (must be greater than zero and less than PI)
    
    aspect - the aspect ratio (i.e. width / height; must be greater than zero)
    
    zNear - near clipping plane distance (must be greater than zero)
    
    zFar - far clipping plane distance (must be greater than zero and greater than zNear)
    
    Returns:
    
    this
    
    See Also:
    
    perspective(float, float, float, float)
  - frustum
```
public Matrix4f frustum(float left,
                        float right,
                        float bottom,
                        float top,
                        float zNear,
                        float zFar,
                        Matrix4f dest)
```
    Apply an arbitrary perspective projection frustum transformation to this matrix and store the result in dest.
    If M is this matrix and F the frustum matrix, then the new matrix will be M * F. So when transforming a vector v with the new matrix by using M * F * v, the frustum transformation will be applied first!
    In order to set the matrix to a perspective frustum transformation without post-multiplying, use setFrustum().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance along the x-axis to the left frustum edge
    
    right - the distance along the x-axis to the right frustum edge
    
    bottom - the distance along the y-axis to the bottom frustum edge
    
    top - the distance along the y-axis to the top frustum edge
    
    zNear - the distance along the z-axis to the near clipping plane
    
    zFar - the distance along the z-axis to the far clipping plane
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setFrustum(float, float, float, float, float, float)
  - frustum
```
public Matrix4f frustum(float left,
                        float right,
                        float bottom,
                        float top,
                        float zNear,
                        float zFar)
```
    Apply an arbitrary perspective projection frustum transformation to this matrix.
    If M is this matrix and F the frustum matrix, then the new matrix will be M * F. So when transforming a vector v with the new matrix by using M * F * v, the frustum transformation will be applied first!
    In order to set the matrix to a perspective frustum transformation without post-multiplying, use setFrustum().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance along the x-axis to the left frustum edge
    
    right - the distance along the x-axis to the right frustum edge
    
    bottom - the distance along the y-axis to the bottom frustum edge
    
    top - the distance along the y-axis to the top frustum edge
    
    zNear - the distance along the z-axis to the near clipping plane
    
    zFar - the distance along the z-axis to the far clipping plane
    
    Returns:
    
    this
    
    See Also:
    
    setFrustum(float, float, float, float, float, float)
  - setFrustum
```
public Matrix4f setFrustum(float left,
                           float right,
                           float bottom,
                           float top,
                           float zNear,
                           float zFar)
```
    Set this matrix to be an arbitrary perspective projection frustum transformation.
    In order to apply the perspective frustum transformation to an existing transformation, use frustum().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance along the x-axis to the left frustum edge
    
    right - the distance along the x-axis to the right frustum edge
    
    bottom - the distance along the y-axis to the bottom frustum edge
    
    top - the distance along the y-axis to the top frustum edge
    
    zNear - the distance along the z-axis to the near clipping plane
    
    zFar - the distance along the z-axis to the far clipping plane
    
    Returns:
    
    this
    
    See Also:
    
    frustum(float, float, float, float, float, float)
  - rotate
```
public Matrix4f rotate(Quaternionf quat,
                       Matrix4f dest)
```
    Apply the rotation transformation of the given Quaternionf to this matrix and store the result in dest.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionf).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaternionf
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(Quaternionf)
  - rotate
```
public Matrix4f rotate(Quaternionf quat)
```
    Apply the rotation transformation of the given Quaternionf to this matrix.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionf).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaternionf
    
    Returns:
    
    this
    
    See Also:
    
    rotation(Quaternionf)
  - rotate
```
public Matrix4f rotate(AxisAngle4f axisAngle)
```
    Apply a rotation transformation, rotating about the given AxisAngle4f, to this matrix.
    If M is this matrix and A the rotation matrix obtained from the given AxisAngle4f, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the AxisAngle4f rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(AxisAngle4f).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    axisAngle - the AxisAngle4f (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(float, float, float, float), rotation(AxisAngle4f)
  - rotate
```
public Matrix4f rotate(AxisAngle4f axisAngle,
                       Matrix4f dest)
```
    Apply a rotation transformation, rotating about the given AxisAngle4f and store the result in dest.
    If M is this matrix and A the rotation matrix obtained from the given AxisAngle4f, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the AxisAngle4f rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(AxisAngle4f).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    axisAngle - the AxisAngle4f (needs to be normalized)
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotate(float, float, float, float), rotation(AxisAngle4f)
  - rotate
```
public Matrix4f rotate(float angle,
                       Vector3f axis)
```
    Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.
    If M is this matrix and A the rotation matrix obtained from the given axis-angle, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(float, Vector3f).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    angle - the angle in radians
    
    axis - the rotation axis (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(float, float, float, float), rotation(float, Vector3f)
  - rotate
```
public Matrix4f rotate(float angle,
                       Vector3f axis,
                       Matrix4f dest)
```
    Apply a rotation transformation, rotating the given radians about the specified axis and store the result in dest.
    If M is this matrix and A the rotation matrix obtained from the given axis-angle, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(float, Vector3f).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    angle - the angle in radians
    
    axis - the rotation axis (needs to be normalized)
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotate(float, float, float, float), rotation(float, Vector3f)
  - unproject
```
public Vector4f unproject(float winX,
                          float winY,
                          float winZ,
                          int[] viewport,
                          Vector4f dest)
```
    Unproject the given window coordinates (winX, winY, winZ) by this 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 of this 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 of this matrix can be built once outside using invert(Matrix4f) and then the method unprojectInv() can be invoked on it.
    
    Parameters:
    
    winX - the x-coordinate in window coordinates (pixels)
    
    winY - the y-coordinate in window coordinates (pixels)
    
    winZ - the z-coordinate, 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:
    
    unprojectInv(float, float, float, int[], Vector4f), invert(Matrix4f)
  - unproject
```
public Vector3f unproject(float winX,
                          float winY,
                          float winZ,
                          int[] viewport,
                          Vector3f dest)
```
    Unproject the given window coordinates (winX, winY, winZ) by this 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 of this 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 of this matrix can be built once outside using invert(Matrix4f) and then the method unprojectInv() can be invoked on it.
    
    Parameters:
    
    winX - the x-coordinate in window coordinates (pixels)
    
    winY - the y-coordinate in window coordinates (pixels)
    
    winZ - the z-coordinate, 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:
    
    unprojectInv(float, float, float, int[], Vector3f), invert(Matrix4f)
  - unproject
```
public Vector4f unproject(Vector3f winCoords,
                          int[] viewport,
                          Vector4f dest)
```
    Unproject the given window coordinates winCoords by this 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 of this 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 of this matrix can be built once outside using invert(Matrix4f) and then the method unprojectInv() can be invoked on it.
    
    Parameters:
    
    winCoords - the window coordinates to unproject
    
    viewport - the viewport described by [x, y, width, height]
    
    dest - will hold the unprojected position
    
    Returns:
    
    dest
    
    See Also:
    
    unprojectInv(float, float, float, int[], Vector4f), unproject(float, float, float, int[], Vector4f), invert(Matrix4f)
  - unproject
```
public Vector3f unproject(Vector3f winCoords,
                          int[] viewport,
                          Vector3f dest)
```
    Unproject the given window coordinates winCoords by this 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 of this 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 of this matrix can be built once outside using invert(Matrix4f) and then the method unprojectInv() can be invoked on it.
    
    Parameters:
    
    winCoords - the window coordinates to unproject
    
    viewport - the viewport described by [x, y, width, height]
    
    dest - will hold the unprojected position
    
    Returns:
    
    dest
    
    See Also:
    
    unprojectInv(float, float, float, int[], Vector3f), unproject(float, float, float, int[], Vector3f), invert(Matrix4f)
  - unprojectInv
```
public Vector4f unprojectInv(Vector3f winCoords,
                             int[] viewport,
                             Vector4f dest)
```
    Unproject the given window coordinates winCoords by this matrix using the specified viewport.
    This method differs from unproject() in that it assumes that this is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.
    The depth range of winCoords.z is assumed to be [0..1], which is also the OpenGL default.
    This method reads the four viewport parameters from the current int[]'s position and does not modify the buffer's position.
    
    Parameters:
    
    winCoords - the window coordinates to unproject
    
    viewport - the viewport described by [x, y, width, height]
    
    dest - will hold the unprojected position
    
    Returns:
    
    dest
    
    See Also:
    
    unproject(Vector3f, int[], Vector4f)
  - unprojectInv
```
public Vector4f unprojectInv(float winX,
                             float winY,
                             float winZ,
                             int[] viewport,
                             Vector4f dest)
```
    Unproject the given window coordinates (winX, winY, winZ) by this matrix using the specified viewport.
    This method differs from unproject() in that it assumes that this is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.
    The depth range of winZ is assumed to be [0..1], which is also the OpenGL default.
    
    Parameters:
    
    winX - the x-coordinate in window coordinates (pixels)
    
    winY - the y-coordinate in window coordinates (pixels)
    
    winZ - the z-coordinate, 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:
    
    unproject(float, float, float, int[], Vector4f)
  - unprojectInv
```
public Vector3f unprojectInv(Vector3f winCoords,
                             int[] viewport,
                             Vector3f dest)
```
    Unproject the given window coordinates winCoords by this matrix using the specified viewport.
    This method differs from unproject() in that it assumes that this is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.
    The depth range of winCoords.z is assumed to be [0..1], which is also the OpenGL default.
    
    Parameters:
    
    winCoords - the window coordinates to unproject
    
    viewport - the viewport described by [x, y, width, height]
    
    dest - will hold the unprojected position
    
    Returns:
    
    dest
    
    See Also:
    
    unproject(Vector3f, int[], Vector3f)
  - unprojectInv
```
public Vector3f unprojectInv(float winX,
                             float winY,
                             float winZ,
                             int[] viewport,
                             Vector3f dest)
```
    Unproject the given window coordinates (winX, winY, winZ) by this matrix using the specified viewport.
    This method differs from unproject() in that it assumes that this is already the inverse matrix of the original projection matrix. It exists to avoid recomputing the matrix inverse with every invocation.
    The depth range of winZ is assumed to be [0..1], which is also the OpenGL default.
    
    Parameters:
    
    winX - the x-coordinate in window coordinates (pixels)
    
    winY - the y-coordinate in window coordinates (pixels)
    
    winZ - the z-coordinate, 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:
    
    unproject(float, float, float, int[], Vector3f)
  - unproject
```
public static void unproject(float winX,
                             float winY,
                             float winZ,
                             Matrix4f projection,
                             Matrix4f view,
                             int[] viewport,
                             Matrix4f inverseOut,
                             Vector4f dest)
```
    Unproject the given window coordinates (winX, winY, winZ) by the given view and projection matrices 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 of projection * view.
    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 projection * view and stores it into the inverseOut parameter matrix. In order to avoid computing the matrix inverse with every invocation, the inverse of both matrices can be built once outside and then the method unprojectInv() can be invoked on it.
    
    Parameters:
    
    winX - the x-coordinate in window coordinates (pixels)
    
    winY - the y-coordinate in window coordinates (pixels)
    
    winZ - the z-coordinate, which is the depth value in [0..1]
    
    projection - the projection matrix
    
    view - the view matrix
    
    viewport - the viewport described by [x, y, width, height]
    
    inverseOut - will hold the inverse of projection * view after the method returns
    
    dest - will hold the unprojected position
    
    See Also:
    
    unprojectInv(float, float, float, int[], Vector4f)
  - unproject
```
public static void unproject(Vector3f winCoords,
                             Matrix4f projection,
                             Matrix4f view,
                             int[] viewport,
                             Matrix4f inverseOut,
                             Vector4f dest)
```
    Unproject the given window coordinates winCoords by the given view and projection matrices 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 of projection * view.
    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 projection * view and stores it into the inverseOut parameter matrix. In order to avoid computing the matrix inverse with every invocation, the inverse of both matrices can be built once outside and then the method unprojectInv() can be invoked on it.
    
    Parameters:
    
    winCoords - the window coordinate to unproject
    
    projection - the projection matrix
    
    view - the view matrix
    
    viewport - the viewport described by [x, y, width, height]
    
    inverseOut - will hold the inverse of projection * view after the method returns
    
    dest - will hold the unprojected position
    
    See Also:
    
    unprojectInv(float, float, float, int[], Vector4f)
  - project
```
public Vector4f project(float x,
                        float y,
                        float z,
                        int[] viewport,
                        Vector4f winCoordsDest)
```
    Project the given (x, y, z) position via this matrix using the specified viewport and store the resulting window coordinates in winCoordsDest.
    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 given viewport settings [x, y, width, height].
    The depth range of the returned winCoordsDest.z will be [0..1], which is also the OpenGL default.
    
    Parameters:
    
    x - the x-coordinate of the position to project
    
    y - the y-coordinate of the position to project
    
    z - the z-coordinate of the position to project
    
    viewport - the viewport described by [x, y, width, height]
    
    winCoordsDest - will hold the projected window coordinates
    
    Returns:
    
    winCoordsDest
  - project
```
public Vector3f project(float x,
                        float y,
                        float z,
                        int[] viewport,
                        Vector3f winCoordsDest)
```
    Project the given (x, y, z) position via this matrix using the specified viewport and store the resulting window coordinates in winCoordsDest.
    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 given viewport settings [x, y, width, height].
    The depth range of the returned winCoordsDest.z will be [0..1], which is also the OpenGL default.
    
    Parameters:
    
    x - the x-coordinate of the position to project
    
    y - the y-coordinate of the position to project
    
    z - the z-coordinate of the position to project
    
    viewport - the viewport described by [x, y, width, height]
    
    winCoordsDest - will hold the projected window coordinates
    
    Returns:
    
    winCoordsDest
  - project
```
public Vector4f project(Vector3f position,
                        int[] viewport,
                        Vector4f winCoordsDest)
```
    Project the given position via this matrix using the specified viewport and store the resulting window coordinates in winCoordsDest.
    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 given viewport settings [x, y, width, height].
    The depth range of the returned winCoordsDest.z will be [0..1], which is also the OpenGL default.
    
    Parameters:
    
    position - the position to project into window coordinates
    
    viewport - the viewport described by [x, y, width, height]
    
    winCoordsDest - will hold the projected window coordinates
    
    Returns:
    
    winCoordsDest
    
    See Also:
    
    project(float, float, float, int[], Vector4f)
  - project
```
public Vector3f project(Vector3f position,
                        int[] viewport,
                        Vector3f winCoordsDest)
```
    Project the given position via this matrix using the specified viewport and store the resulting window coordinates in winCoordsDest.
    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 given viewport settings [x, y, width, height].
    The depth range of the returned winCoordsDest.z will be [0..1], which is also the OpenGL default.
    
    Parameters:
    
    position - the position to project into window coordinates
    
    viewport - the viewport described by [x, y, width, height]
    
    winCoordsDest - will hold the projected window coordinates
    
    Returns:
    
    winCoordsDest
    
    See Also:
    
    project(float, float, float, int[], Vector4f)
  - project
```
public static void project(float x,
                           float y,
                           float z,
                           Matrix4f projection,
                           Matrix4f view,
                           int[] viewport,
                           Vector4f winCoordsDest)
```
    Project the given (x, y, z) position via the given view and projection matrices using the specified viewport and store the resulting window coordinates in winCoordsDest.
    This method transforms the given coordinates by projection * view including perspective division to obtain normalized device coordinates, and then translates these into window coordinates by using the given viewport settings [x, y, width, height].
    The depth range of the returned winCoordsDest.z will be [0..1], which is also the OpenGL default.
    
    Parameters:
    
    x - the x-coordinate of the position to project
    
    y - the y-coordinate of the position to project
    
    z - the z-coordinate of the position to project
    
    projection - the projection matrix
    
    view - the view matrix
    
    viewport - the viewport described by [x, y, width, height]
    
    winCoordsDest - will hold the projected window coordinates
  - project
```
public static void project(Vector3f position,
                           Matrix4f projection,
                           Matrix4f view,
                           int[] viewport,
                           Vector4f winCoordsDest)
```
    Project the given position via the given view and projection matrices using the specified viewport and store the resulting window coordinates in winCoordsDest.
    This method transforms the given coordinates by projection * view including perspective division to obtain normalized device coordinates, and then translates these into window coordinates by using the given viewport settings [x, y, width, height].
    The depth range of the returned winCoordsDest.z will be [0..1], which is also the OpenGL default.
    
    Parameters:
    
    position - the position to project into window coordinates
    
    projection - the projection matrix
    
    view - the view matrix
    
    viewport - the viewport described by [x, y, width, height]
    
    winCoordsDest - will hold the projected window coordinates
    
    See Also:
    
    project(float, float, float, Matrix4f, Matrix4f, int[], Vector4f)
  - reflect
```
public Matrix4f reflect(float a,
                        float b,
                        float c,
                        float d,
                        Matrix4f dest)
```
    Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0 and store the result in dest.
    The vector (a, b, c) must be a unit vector.
    If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!
    Reference: msdn.microsoft.com
    
    Parameters:
    
    a - the x factor in the plane equation
    
    b - the y factor in the plane equation
    
    c - the z factor in the plane equation
    
    d - the constant in the plane equation
    
    dest - will hold the result
    
    Returns:
    
    dest
  - reflect
```
public Matrix4f reflect(float a,
                        float b,
                        float c,
                        float d)
```
    Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0.
    The vector (a, b, c) must be a unit vector.
    If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!
    Reference: msdn.microsoft.com
    
    Parameters:
    
    a - the x factor in the plane equation
    
    b - the y factor in the plane equation
    
    c - the z factor in the plane equation
    
    d - the constant in the plane equation
    
    Returns:
    
    this
  - reflect
```
public Matrix4f reflect(float nx,
                        float ny,
                        float nz,
                        float px,
                        float py,
                        float pz)
```
    Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.
    If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!
    
    Parameters:
    
    nx - the x-coordinate of the plane normal
    
    ny - the y-coordinate of the plane normal
    
    nz - the z-coordinate of the plane normal
    
    px - the x-coordinate of a point on the plane
    
    py - the y-coordinate of a point on the plane
    
    pz - the z-coordinate of a point on the plane
    
    Returns:
    
    this
  - reflect
```
public Matrix4f reflect(float nx,
                        float ny,
                        float nz,
                        float px,
                        float py,
                        float pz,
                        Matrix4f dest)
```
    Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in dest.
    If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!
    
    Parameters:
    
    nx - the x-coordinate of the plane normal
    
    ny - the y-coordinate of the plane normal
    
    nz - the z-coordinate of the plane normal
    
    px - the x-coordinate of a point on the plane
    
    py - the y-coordinate of a point on the plane
    
    pz - the z-coordinate of a point on the plane
    
    dest - will hold the result
    
    Returns:
    
    dest
  - reflect
```
public Matrix4f reflect(Vector3f normal,
                        Vector3f point)
```
    Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.
    If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!
    
    Parameters:
    
    normal - the plane normal
    
    point - a point on the plane
    
    Returns:
    
    this
  - reflect
```
public Matrix4f reflect(Quaternionf orientation,
                        Vector3f point)
```
    Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane.
    This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is (0, 0, 1). So, if the given Quaternionf is the identity (does not apply any additional rotation), the reflection plane will be z=0, offset by the given point.
    If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!
    
    Parameters:
    
    orientation - the plane orientation
    
    point - a point on the plane
    
    Returns:
    
    this
  - reflect
```
public Matrix4f reflect(Quaternionf orientation,
                        Vector3f point,
                        Matrix4f dest)
```
    Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane, and store the result in dest.
    This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is (0, 0, 1). So, if the given Quaternionf is the identity (does not apply any additional rotation), the reflection plane will be z=0, offset by the given point.
    If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!
    
    Parameters:
    
    orientation - the plane orientation relative to an implied normal vector of (0, 0, 1)
    
    point - a point on the plane
    
    dest - will hold the result
    
    Returns:
    
    dest
  - reflect
```
public Matrix4f reflect(Vector3f normal,
                        Vector3f point,
                        Matrix4f dest)
```
    Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in dest.
    If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!
    
    Parameters:
    
    normal - the plane normal
    
    point - a point on the plane
    
    dest - will hold the result
    
    Returns:
    
    dest
  - reflection
```
public Matrix4f reflection(float a,
                           float b,
                           float c,
                           float d)
```
    Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0.
    The vector (a, b, c) must be a unit vector.
    Reference: msdn.microsoft.com
    
    Parameters:
    
    a - the x factor in the plane equation
    
    b - the y factor in the plane equation
    
    c - the z factor in the plane equation
    
    d - the constant in the plane equation
    
    Returns:
    
    this
  - reflection
```
public Matrix4f reflection(float nx,
                           float ny,
                           float nz,
                           float px,
                           float py,
                           float pz)
```
    Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.
    
    Parameters:
    
    nx - the x-coordinate of the plane normal
    
    ny - the y-coordinate of the plane normal
    
    nz - the z-coordinate of the plane normal
    
    px - the x-coordinate of a point on the plane
    
    py - the y-coordinate of a point on the plane
    
    pz - the z-coordinate of a point on the plane
    
    Returns:
    
    this
  - reflection
```
public Matrix4f reflection(Vector3f normal,
                           Vector3f point)
```
    Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.
    
    Parameters:
    
    normal - the plane normal
    
    point - a point on the plane
    
    Returns:
    
    this
  - reflection
```
public Matrix4f reflection(Quaternionf orientation,
                           Vector3f point)
```
    Set this matrix to a mirror/reflection transformation that reflects about a plane specified via the plane orientation and a point on the plane.
    This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is (0, 0, 1). So, if the given Quaternionf is the identity (does not apply any additional rotation), the reflection plane will be z=0, offset by the given point.
    
    Parameters:
    
    orientation - the plane orientation
    
    point - a point on the plane
    
    Returns:
    
    this
  - getRow
```
public Vector4f getRow(int row,
                       Vector4f dest)
                throws IndexOutOfBoundsException
```
    Get the row at the given row index, starting with 0.
    
    Parameters:
    
    row - the row index in [0..3]
    
    dest - will hold the row components
    
    Returns:
    
    the passed in destination
    
    Throws:
    
    IndexOutOfBoundsException - if row is not in [0..3]
  - getColumn
```
public Vector4f getColumn(int column,
                          Vector4f dest)
                   throws IndexOutOfBoundsException
```
    Get the column at the given column index, starting with 0.
    
    Parameters:
    
    column - the column index in [0..3]
    
    dest - will hold the column components
    
    Returns:
    
    the passed in destination
    
    Throws:
    
    IndexOutOfBoundsException - if column is not in [0..3]
  - normal
```
public Matrix4f normal()
```
    Compute a normal matrix from the upper left 3x3 submatrix of this and store it into the upper left 3x3 submatrix of this. All other values of this will be set to identity.
    The normal matrix of m is the transpose of the inverse of m.
    Please note that, if this is an orthogonal matrix or a matrix whose columns are orthogonal vectors, then this method need not be invoked, since in that case this itself is its normal matrix. In that case, use set3x3(Matrix4f) to set a given Matrix4f to only the upper left 3x3 submatrix of this matrix.
    
    Returns:
    
    this
    
    See Also:
    
    set3x3(Matrix4f)
  - normal
```
public Matrix4f normal(Matrix4f dest)
```
    Compute a normal matrix from the upper left 3x3 submatrix of this and store it into the upper left 3x3 submatrix of dest. All other values of dest will be set to identity.
    The normal matrix of m is the transpose of the inverse of m.
    Please note that, if this is an orthogonal matrix or a matrix whose columns are orthogonal vectors, then this method need not be invoked, since in that case this itself is its normal matrix. In that case, use set3x3(Matrix4f) to set a given Matrix4f to only the upper left 3x3 submatrix of this matrix.
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    set3x3(Matrix4f)
  - normal
```
public Matrix3f normal(Matrix3f dest)
```
    Compute a normal matrix from the upper left 3x3 submatrix of this and store it into dest.
    The normal matrix of m is the transpose of the inverse of m.
    Please note that, if this is an orthogonal matrix or a matrix whose columns are orthogonal vectors, then this method need not be invoked, since in that case this itself is its normal matrix. In that case, use Matrix3f.set(Matrix4f) to set a given Matrix3f to only the upper left 3x3 submatrix of this matrix.
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    Matrix3f.set(Matrix4f), get3x3(Matrix3f)
  - normalize3x3
```
public Matrix4f 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 Matrix4f normalize3x3(Matrix4f dest)
```
    Normalize the upper left 3x3 submatrix of this matrix and store the result in dest.
    The resulting matrix will map unit vectors to unit vectors, though a pair of orthogonal input unit vectors need not be mapped to a pair of orthogonal output vectors if the original matrix was not orthogonal itself (i.e. had skewing).
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - normalize3x3
```
public Matrix3f normalize3x3(Matrix3f dest)
```
    Normalize the upper left 3x3 submatrix of this matrix and store the result in dest.
    The resulting matrix will map unit vectors to unit vectors, though a pair of orthogonal input unit vectors need not be mapped to a pair of orthogonal output vectors if the original matrix was not orthogonal itself (i.e. had skewing).
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - frustumPlane
```
public Vector4f frustumPlane(int plane,
                             Vector4f planeEquation)
```
    Calculate a frustum plane of this matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given planeEquation.
    Generally, this method computes the frustum plane in the local frame of any coordinate system that existed before this transformation was applied to it in order to yield homogeneous clipping space.
    The frustum plane will be given in the form of a general plane equation: a*x + b*y + c*z + d = 0, where the given Vector4f components will hold the (a, b, c, d) values of the equation.
    The plane normal, which is (a, b, c), is directed "inwards" of the frustum. Any plane/point test using a*x + b*y + c*z + d therefore will yield a result greater than zero if the point is within the frustum (i.e. at the positive side of the frustum plane).
    Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix
    
    Parameters:
    
    plane - one of the six possible planes, given as numeric constants PLANE_NX, PLANE_PX, PLANE_NY, PLANE_PY, PLANE_NZ and PLANE_PZ
    
    planeEquation - will hold the computed plane equation. The plane equation will be normalized, meaning that (a, b, c) will be a unit vector
    
    Returns:
    
    planeEquation
  - frustumCorner
```
public Vector3f frustumCorner(int corner,
                              Vector3f point)
```
    Compute the corner coordinates of the frustum defined by this matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given point.
    Generally, this method computes the frustum corners in the local frame of any coordinate system that existed before this transformation was applied to it in order to yield homogeneous clipping space.
    Reference: http://geomalgorithms.com
    Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix
    
    Parameters:
    
    corner - one of the eight possible corners, given as numeric constants CORNER_NXNYNZ, CORNER_PXNYNZ, CORNER_PXPYNZ, CORNER_NXPYNZ, CORNER_PXNYPZ, CORNER_NXNYPZ, CORNER_NXPYPZ, CORNER_PXPYPZ
    
    point - will hold the resulting corner point coordinates
    
    Returns:
    
    point
  - perspectiveOrigin
```
public Vector3f perspectiveOrigin(Vector3f origin)
```
    Compute the eye/origin of the perspective frustum transformation defined by this matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given origin.
    Note that this method will only work using perspective projections obtained via one of the perspective methods, such as perspective() or frustum().
    Generally, this method computes the origin in the local frame of any coordinate system that existed before this transformation was applied to it in order to yield homogeneous clipping space.
    Reference: http://geomalgorithms.com
    Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix
    
    Parameters:
    
    origin - will hold the origin of the coordinate system before applying this perspective projection transformation
    
    Returns:
    
    origin
  - perspectiveFov
```
public float perspectiveFov()
```
    Return the vertical field-of-view angle in radians of this perspective transformation matrix.
    Note that this method will only work using perspective projections obtained via one of the perspective methods, such as perspective() or frustum().
    For orthogonal transformations this method will return 0.0.
    Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix
    
    Returns:
    
    the vertical field-of-view angle in radians
  - frustumRayDir
```
public Vector3f frustumRayDir(float x,
                              float y,
                              Vector3f dir)
```
    Obtain the direction of a ray starting at the center of the coordinate system and going through the near frustum plane.
    This method computes the dir vector in the local frame of any coordinate system that existed before this transformation was applied to it in order to yield homogeneous clipping space.
    The parameters x and y are used to interpolate the generated ray direction from the bottom-left to the top-right frustum corners.
    For optimal efficiency when building many ray directions over the whole frustum, it is recommended to use this method only in order to compute the four corner rays at (0, 0), (1, 0), (0, 1) and (1, 1) and then bilinearly interpolating between them; or to use the FrustumRayBuilder.
    Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix
    
    Parameters:
    
    x - the interpolation factor along the left-to-right frustum planes, within [0..1]
    
    y - the interpolation factor along the bottom-to-top frustum planes, within [0..1]
    
    dir - will hold the normalized ray direction in the local frame of the coordinate system before transforming to homogeneous clipping space using this matrix
    
    Returns:
    
    dir
  - positiveZ
```
public Vector3f positiveZ(Vector3f dir)
```
    Obtain the direction of +Z before the transformation represented by this matrix is applied.
    This method uses the rotation component of the upper left 3x3 submatrix to obtain the direction that is transformed to +Z by this matrix.
    This method is equivalent to the following code:
```
 Matrix4f inv = new Matrix4f(this).invert();
 inv.transformDirection(dir.set(0, 0, 1)).normalize();
 
```
    Reference: http://www.euclideanspace.com
    Parameters:
    
    dir - will hold the direction of +Z
    
    Returns:
    
    dir
  - positiveX
```
public Vector3f positiveX(Vector3f dir)
```
    Obtain the direction of +X before the transformation represented by this matrix is applied.
    This method uses the rotation component of the upper left 3x3 submatrix to obtain the direction that is transformed to +X by this matrix.
    This method is equivalent to the following code:
```
 Matrix4f inv = new Matrix4f(this).invert();
 inv.transformDirection(dir.set(1, 0, 0)).normalize();
 
```
    Reference: http://www.euclideanspace.com
    Parameters:
    
    dir - will hold the direction of +X
    
    Returns:
    
    dir
  - positiveY
```
public Vector3f positiveY(Vector3f dir)
```
    Obtain the direction of +Y before the transformation represented by this matrix is applied.
    This method uses the rotation component of the upper left 3x3 submatrix to obtain the direction that is transformed to +Y by this matrix.
    This method is equivalent to the following code:
```
 Matrix4f inv = new Matrix4f(this).invert();
 inv.transformDirection(dir.set(0, 1, 0)).normalize();
 
```
    Reference: http://www.euclideanspace.com
    Parameters:
    
    dir - will hold the direction of +Y
    
    Returns:
    
    dir
  - origin
```
public Vector3f origin(Vector3f origin)
```
    Obtain the position that gets transformed to the origin by this matrix. This can be used to get the position of the "camera" from a given view transformation matrix.
    This method is equivalent to the following code:
```
 Matrix4f inv = new Matrix4f(this).invert();
 inv.transformPosition(origin.set(0, 0, 0));
 
```
    Parameters:
    
    origin - will hold the position transformed to the origin
    
    Returns:
    
    origin
  - shadow
```
public Matrix4f shadow(Vector4f light,
                       float a,
                       float b,
                       float c,
                       float d)
```
    Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction light.
    If light.w is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.
    If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the reflection will be applied first!
    Reference: ftp.sgi.com
    
    Parameters:
    
    light - the light's vector
    
    a - the x factor in the plane equation
    
    b - the y factor in the plane equation
    
    c - the z factor in the plane equation
    
    d - the constant in the plane equation
    
    Returns:
    
    this
  - shadow
```
public Matrix4f shadow(Vector4f light,
                       float a,
                       float b,
                       float c,
                       float d,
                       Matrix4f dest)
```
    Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction light and store the result in dest.
    If light.w is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.
    If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the reflection will be applied first!
    Reference: ftp.sgi.com
    
    Parameters:
    
    light - the light's vector
    
    a - the x factor in the plane equation
    
    b - the y factor in the plane equation
    
    c - the z factor in the plane equation
    
    d - the constant in the plane equation
    
    dest - will hold the result
    
    Returns:
    
    dest
  - shadow
```
public Matrix4f shadow(float lightX,
                       float lightY,
                       float lightZ,
                       float lightW,
                       float a,
                       float b,
                       float c,
                       float d)
```
    Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW).
    If lightW is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.
    If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the reflection will be applied first!
    Reference: ftp.sgi.com
    
    Parameters:
    
    lightX - the x-component of the light's vector
    
    lightY - the y-component of the light's vector
    
    lightZ - the z-component of the light's vector
    
    lightW - the w-component of the light's vector
    
    a - the x factor in the plane equation
    
    b - the y factor in the plane equation
    
    c - the z factor in the plane equation
    
    d - the constant in the plane equation
    
    Returns:
    
    this
  - shadow
```
public Matrix4f shadow(float lightX,
                       float lightY,
                       float lightZ,
                       float lightW,
                       float a,
                       float b,
                       float c,
                       float d,
                       Matrix4f dest)
```
    Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation x*a + y*b + z*c + d = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW) and store the result in dest.
    If lightW is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.
    If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the reflection will be applied first!
    Reference: ftp.sgi.com
    
    Parameters:
    
    lightX - the x-component of the light's vector
    
    lightY - the y-component of the light's vector
    
    lightZ - the z-component of the light's vector
    
    lightW - the w-component of the light's vector
    
    a - the x factor in the plane equation
    
    b - the y factor in the plane equation
    
    c - the z factor in the plane equation
    
    d - the constant in the plane equation
    
    dest - will hold the result
    
    Returns:
    
    dest
  - shadow
```
public Matrix4f shadow(Vector4f light,
                       Matrix4f planeTransform,
                       Matrix4f dest)
```
    Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction light and store the result in dest.
    Before the shadow projection is applied, the plane is transformed via the specified planeTransformation.
    If light.w is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.
    If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the reflection will be applied first!
    
    Parameters:
    
    light - the light's vector
    
    planeTransform - the transformation to transform the implied plane y = 0 before applying the projection
    
    dest - will hold the result
    
    Returns:
    
    dest
  - shadow
```
public Matrix4f shadow(Vector4f light,
                       Matrix4f planeTransform)
```
    Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction light.
    Before the shadow projection is applied, the plane is transformed via the specified planeTransformation.
    If light.w is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.
    If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the reflection will be applied first!
    
    Parameters:
    
    light - the light's vector
    
    planeTransform - the transformation to transform the implied plane y = 0 before applying the projection
    
    Returns:
    
    this
  - shadow
```
public Matrix4f shadow(float lightX,
                       float lightY,
                       float lightZ,
                       float lightW,
                       Matrix4f planeTransform,
                       Matrix4f dest)
```
    Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW) and store the result in dest.
    Before the shadow projection is applied, the plane is transformed via the specified planeTransformation.
    If lightW is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.
    If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the reflection will be applied first!
    
    Parameters:
    
    lightX - the x-component of the light vector
    
    lightY - the y-component of the light vector
    
    lightZ - the z-component of the light vector
    
    lightW - the w-component of the light vector
    
    planeTransform - the transformation to transform the implied plane y = 0 before applying the projection
    
    dest - will hold the result
    
    Returns:
    
    dest
  - shadow
```
public Matrix4f shadow(float lightX,
                       float lightY,
                       float lightZ,
                       float lightW,
                       Matrix4f planeTransform)
```
    Apply a projection transformation to this matrix that projects onto the plane with the general plane equation y = 0 as if casting a shadow from a given light position/direction (lightX, lightY, lightZ, lightW).
    Before the shadow projection is applied, the plane is transformed via the specified planeTransformation.
    If lightW is 0.0 the light is being treated as a directional light; if it is 1.0 it is a point light.
    If M is this matrix and S the shadow matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the reflection will be applied first!
    
    Parameters:
    
    lightX - the x-component of the light vector
    
    lightY - the y-component of the light vector
    
    lightZ - the z-component of the light vector
    
    lightW - the w-component of the light vector
    
    planeTransform - the transformation to transform the implied plane y = 0 before applying the projection
    
    Returns:
    
    this
  - billboardCylindrical
```
public Matrix4f billboardCylindrical(Vector3f objPos,
                                     Vector3f targetPos,
                                     Vector3f up)
```
    Set this matrix to a cylindrical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos while constraining a cylindrical rotation around the given up vector.
    This method can be used to create the complete model transformation for a given object, including the translation of the object to its position objPos.
    
    Parameters:
    
    objPos - the position of the object to rotate towards targetPos
    
    targetPos - the position of the target (for example the camera) towards which to rotate the object
    
    up - the rotation axis (must be normalized)
    
    Returns:
    
    this
  - billboardSpherical
```
public Matrix4f billboardSpherical(Vector3f objPos,
                                   Vector3f targetPos,
                                   Vector3f up)
```
    Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos.
    This method can be used to create the complete model transformation for a given object, including the translation of the object to its position objPos.
    If preserving an up vector is not necessary when rotating the +Z axis, then a shortest arc rotation can be obtained using billboardSpherical(Vector3f, Vector3f).
    
    Parameters:
    
    objPos - the position of the object to rotate towards targetPos
    
    targetPos - the position of the target (for example the camera) towards which to rotate the object
    
    up - the up axis used to orient the object
    
    Returns:
    
    this
    
    See Also:
    
    billboardSpherical(Vector3f, Vector3f)
  - billboardSpherical
```
public Matrix4f billboardSpherical(Vector3f objPos,
                                   Vector3f targetPos)
```
    Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos using a shortest arc rotation by not preserving any up vector of the object.
    This method can be used to create the complete model transformation for a given object, including the translation of the object to its position objPos.
    In order to specify an up vector which needs to be maintained when rotating the +Z axis of the object, use billboardSpherical(Vector3f, Vector3f, Vector3f).
    
    Parameters:
    
    objPos - the position of the object to rotate towards targetPos
    
    targetPos - the position of the target (for example the camera) towards which to rotate the object
    
    Returns:
    
    this
    
    See Also:
    
    billboardSpherical(Vector3f, Vector3f, Vector3f)
  - hashCode
```
public int hashCode()
```
    Overrides:
    
    hashCode in class Object
  - equals
```
public boolean equals(Object obj)
```
    Overrides:
    
    equals in class Object
  - pick
```
public Matrix4f pick(float x,
                     float y,
                     float width,
                     float height,
                     int[] viewport,
                     Matrix4f dest)
```
    Apply a picking transformation to this matrix using the given window coordinates (x, y) as the pick center and the given (width, height) as the size of the picking region in window coordinates, and store the result in dest.
    
    Parameters:
    
    x - the x coordinate of the picking region center in window coordinates
    
    y - the y coordinate of the picking region center in window coordinates
    
    width - the width of the picking region in window coordinates
    
    height - the height of the picking region in window coordinates
    
    viewport - the viewport described by [x, y, width, height]
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - pick
```
public Matrix4f pick(float x,
                     float y,
                     float width,
                     float height,
                     int[] viewport)
```
    Apply a picking transformation to this matrix using the given window coordinates (x, y) as the pick center and the given (width, height) as the size of the picking region in window coordinates.
    
    Parameters:
    
    x - the x coordinate of the picking region center in window coordinates
    
    y - the y coordinate of the picking region center in window coordinates
    
    width - the width of the picking region in window coordinates
    
    height - the height of the picking region in window coordinates
    
    viewport - the viewport described by [x, y, width, height]
    
    Returns:
    
    this
  - isAffine
```
public boolean isAffine()
```
    Determine whether this matrix describes an affine transformation. This is the case iff its last row is equal to (0, 0, 0, 1).
    
    Returns:
    
    true iff this matrix is affine; false otherwise
  - swap
```
public Matrix4f swap(Matrix4f other)
```
    Exchange the values of this matrix with the given other matrix.
    
    Parameters:
    
    other - the other matrix to exchange the values with
    
    Returns:
    
    this
  - arcball
```
public Matrix4f arcball(float radius,
                        Vector3f center,
                        float angleX,
                        float angleY)
```
    Apply an arcball view transformation to this matrix with the given radius and center position of the arcball and the specified X and Y rotation angles.
    This method is equivalent to calling: translate(0, 0, -radius).rotateX(angleX).rotateY(angleY).translate(-center.x, -center.y, -center.z)
    
    Parameters:
    
    radius - the arcball radius
    
    center - the center position of the arcball
    
    angleX - the rotation angle around the X axis in radians
    
    angleY - the rotation angle around the Y axis in radians
    
    Returns:
    
    this

Class Matrix4f

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

PLANE_NX

PLANE_PX

PLANE_NY

PLANE_PY

PLANE_NZ

PLANE_PZ

CORNER_NXNYNZ

CORNER_PXNYNZ

CORNER_PXPYNZ

CORNER_NXPYNZ

CORNER_PXNYPZ

CORNER_NXNYPZ

CORNER_NXPYPZ

CORNER_PXPYPZ

m00

m10

m20

m30

m01

m11

m21

m31

m02

m12

m22

m32

m03

m13

m23

m33

Constructor Detail

Matrix4f

Matrix4f

Matrix4f

Matrix4f

Matrix4f

Matrix4f

Method Detail

identity

set

set

set

set

set

set

set

set3x3

mul

mul

mul4x3r

mul4x3r

mul4x3

mul4x3

fma4x3

fma4x3

add

add

sub

sub

mulComponentWise

mulComponentWise

add4x3

add4x3

sub4x3

sub4x3

mul4x3ComponentWise

mul4x3ComponentWise

set

set

set

set

set

determinant

determinant3x3