Matrix4d (JOML 1.9.18 API)

java.lang.Object
- org.joml.Matrix4d

All Implemented Interfaces:

Externalizable, Serializable, Matrix4dc

Direct Known Subclasses:

Matrix4dStack
```
public class Matrix4d
extends Object
implements Externalizable, Matrix4dc
```
Contains the definition of a 4x4 Matrix of doubles, and associated functions to transform it. The matrix is column-major to match OpenGL's interpretation, and it looks like this:
m00 m10 m20 m30
m01 m11 m21 m31
m02 m12 m22 m32
m03 m13 m23 m33

Author:

Richard Greenlees, Kai Burjack

See Also:

Serialized Form

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

Constructor Summary

Constructors
Constructor and Description
`Matrix4d()` Create a new `Matrix4d` and set it to `identity`.
`Matrix4d(DoubleBuffer buffer)` Create a new `Matrix4d` by reading its 16 double components from the given `DoubleBuffer` at the buffer's current position.
`Matrix4d(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33)` Create a new 4x4 matrix using the supplied double values.
`Matrix4d(Matrix3dc mat)` Create a new `Matrix4d` by setting its uppper left 3x3 submatrix to the values of the given `Matrix3dc` and the rest to identity.
`Matrix4d(Matrix4dc mat)` Create a new `Matrix4d` and make it a copy of the given matrix.
`Matrix4d(Matrix4fc mat)` Create a new `Matrix4d` and make it a copy of the given matrix.
`Matrix4d(Matrix4x3dc mat)` Create a new `Matrix4d` and set its upper 4x3 submatrix to the given matrix `mat` and all other elements to identity.
`Matrix4d(Matrix4x3fc mat)` Create a new `Matrix4d` and set its upper 4x3 submatrix to the given matrix `mat` and all other elements to identity.
`Matrix4d(Vector4d col0, Vector4d col1, Vector4d col2, Vector4d col3)` Create a new `Matrix4d` and initialize its four columns using the supplied vectors.

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`Matrix4d`	`_m00(double m00)` Set the value of the matrix element at column 0 and row 0 without updating the properties of the matrix.
`Matrix4d`	`_m01(double m01)` Set the value of the matrix element at column 0 and row 1 without updating the properties of the matrix.
`Matrix4d`	`_m02(double m02)` Set the value of the matrix element at column 0 and row 2 without updating the properties of the matrix.
`Matrix4d`	`_m03(double m03)` Set the value of the matrix element at column 0 and row 3 without updating the properties of the matrix.
`Matrix4d`	`_m10(double m10)` Set the value of the matrix element at column 1 and row 0 without updating the properties of the matrix.
`Matrix4d`	`_m11(double m11)` Set the value of the matrix element at column 1 and row 1 without updating the properties of the matrix.
`Matrix4d`	`_m12(double m12)` Set the value of the matrix element at column 1 and row 2 without updating the properties of the matrix.
`Matrix4d`	`_m13(double m13)` Set the value of the matrix element at column 1 and row 3 without updating the properties of the matrix.
`Matrix4d`	`_m20(double m20)` Set the value of the matrix element at column 2 and row 0 without updating the properties of the matrix.
`Matrix4d`	`_m21(double m21)` Set the value of the matrix element at column 2 and row 1 without updating the properties of the matrix.
`Matrix4d`	`_m22(double m22)` Set the value of the matrix element at column 2 and row 2 without updating the properties of the matrix.
`Matrix4d`	`_m23(double m23)` Set the value of the matrix element at column 2 and row 3 without updating the properties of the matrix.
`Matrix4d`	`_m30(double m30)` Set the value of the matrix element at column 3 and row 0 without updating the properties of the matrix.
`Matrix4d`	`_m31(double m31)` Set the value of the matrix element at column 3 and row 1 without updating the properties of the matrix.
`Matrix4d`	`_m32(double m32)` Set the value of the matrix element at column 3 and row 2 without updating the properties of the matrix.
`Matrix4d`	`_m33(double m33)` Set the value of the matrix element at column 3 and row 3 without updating the properties of the matrix.
`Matrix4d`	`add(Matrix4dc other)` Component-wise add `this` and `other`.
`Matrix4d`	`add(Matrix4dc other, Matrix4d dest)` Component-wise add `this` and `other` and store the result in `dest`.
`Matrix4d`	`add4x3(Matrix4dc other)` Component-wise add the upper 4x3 submatrices of `this` and `other`.
`Matrix4d`	`add4x3(Matrix4dc other, Matrix4d dest)` Component-wise add the upper 4x3 submatrices of `this` and `other` and store the result in `dest`.
`Matrix4d`	`add4x3(Matrix4fc other)` Component-wise add the upper 4x3 submatrices of `this` and `other`.
`Matrix4d`	`add4x3(Matrix4fc other, Matrix4d dest)` Component-wise add the upper 4x3 submatrices of `this` and `other` and store the result in `dest`.
`Matrix4d`	`affineSpan(Vector3d corner, Vector3d xDir, Vector3d yDir, Vector3d zDir)` Compute the extents of the coordinate system before this `affine` transformation was applied and store the resulting corner coordinates in `corner` and the span vectors in `xDir`, `yDir` and `zDir`.
`Matrix4d`	`arcball(double radius, double centerX, double centerY, double centerZ, double angleX, double angleY)` Apply an arcball view transformation to this matrix with the given `radius` and center `(centerX, centerY, centerZ)` position of the arcball and the specified X and Y rotation angles.
`Matrix4d`	`arcball(double radius, double centerX, double centerY, double centerZ, double angleX, double angleY, Matrix4d dest)` Apply an arcball view transformation to this matrix with the given `radius` and center `(centerX, centerY, centerZ)` position of the arcball and the specified X and Y rotation angles, and store the result in `dest`.
`Matrix4d`	`arcball(double radius, Vector3dc center, double angleX, double angleY)` Apply an arcball view transformation to this matrix with the given `radius` and `center` position of the arcball and the specified X and Y rotation angles.
`Matrix4d`	`arcball(double radius, Vector3dc center, double angleX, double angleY, Matrix4d dest)` Apply an arcball view transformation to this matrix with the given `radius` and `center` position of the arcball and the specified X and Y rotation angles, and store the result in `dest`.
`Matrix4d`	`assume(int properties)` Assume the given properties about this matrix.
`Matrix4d`	`billboardCylindrical(Vector3dc objPos, Vector3dc targetPos, Vector3dc up)` Set this matrix to a cylindrical billboard transformation that rotates the local +Z axis of a given object with position `objPos` towards a target position at `targetPos` while constraining a cylindrical rotation around the given `up` vector.
`Matrix4d`	`billboardSpherical(Vector3dc objPos, Vector3dc targetPos)` Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position `objPos` towards a target position at `targetPos` using a shortest arc rotation by not preserving any up vector of the object.
`Matrix4d`	`billboardSpherical(Vector3dc objPos, Vector3dc targetPos, Vector3dc up)` Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position `objPos` towards a target position at `targetPos`.
`Matrix4d`	`cofactor3x3()` Compute the cofactor matrix of the upper left 3x3 submatrix of `this`.
`Matrix3d`	`cofactor3x3(Matrix3d dest)` Compute the cofactor matrix of the upper left 3x3 submatrix of `this` and store it into `dest`.
`Matrix4d`	`cofactor3x3(Matrix4d dest)` Compute the cofactor matrix of the upper left 3x3 submatrix of `this` and store it into `dest`.
`double`	`determinant()` Return the determinant of this matrix.
`double`	`determinant3x3()` Return the determinant of the upper left 3x3 submatrix of this matrix.
`double`	`determinantAffine()` Return the determinant of this matrix by assuming that it represents an `affine` transformation and thus its last row is equal to `(0, 0, 0, 1)`.
`Matrix4d`	`determineProperties()` Compute and set the matrix properties returned by `properties()` based on the current matrix element values.
`boolean`	`equals(Matrix4dc m, double delta)` Compare the matrix elements of `this` matrix with the given matrix using the given `delta` and return whether all of them are equal within a maximum difference of `delta`.
`boolean`	`equals(Object obj)`
`Matrix4d`	`fma4x3(Matrix4dc other, double 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`.
`Matrix4d`	`fma4x3(Matrix4dc other, double otherFactor, Matrix4d 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`.
`Matrix4d`	`frustum(double left, double right, double bottom, double top, double zNear, double zFar)` Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix.
`Matrix4d`	`frustum(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)` Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix.
`Matrix4d`	`frustum(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)` Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in `dest`.
`Matrix4d`	`frustum(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4d dest)` Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix and store the result in `dest`.
`Matrix4d`	`frustumAabb(Vector3d min, Vector3d max)` Compute the axis-aligned bounding box of the frustum described by `this` matrix and store the minimum corner coordinates in the given `min` and the maximum corner coordinates in the given `max` vector.
`Vector3d`	`frustumCorner(int corner, Vector3d dest)` 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`.
`Matrix4d`	`frustumLH(double left, double right, double bottom, double top, double zNear, double zFar)` Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix.
`Matrix4d`	`frustumLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)` Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix.
`Matrix4d`	`frustumLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)` Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in `dest`.
`Matrix4d`	`frustumLH(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4d dest)` Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix and store the result in `dest`.
`Planed`	`frustumPlane(int which, Planed plane)` 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 `plane`.
`Vector4d`	`frustumPlane(int plane, Vector4d dest)` Calculate a frustum plane of `this` matrix, which can be a projection matrix or a combined modelview-projection matrix, and store the result in the given `planeEquation`.
`Vector3d`	`frustumRayDir(double x, double y, Vector3d dest)` Obtain the direction of a ray starting at the center of the coordinate system and going through the near frustum plane.
`ByteBuffer`	`get(ByteBuffer dest)` Store this matrix in column-major order into the supplied `ByteBuffer` at the current buffer `position`.
`double[]`	`get(double[] dest)` Store this matrix into the supplied double array in column-major order.
`double[]`	`get(double[] dest, int offset)` Store this matrix into the supplied double array in column-major order at the given offset.
`DoubleBuffer`	`get(DoubleBuffer dest)` Store this matrix in column-major order into the supplied `DoubleBuffer` at the current buffer `position`.
`float[]`	`get(float[] dest)` Store the elements of this matrix as float values in column-major order into the supplied float array.
`float[]`	`get(float[] dest, int offset)` Store the elements of this matrix as float values in column-major order into the supplied float array at the given offset.
`FloatBuffer`	`get(FloatBuffer dest)` Store this matrix in column-major order into the supplied `FloatBuffer` at the current buffer `position`.
`ByteBuffer`	`get(int index, ByteBuffer dest)` Store this matrix in column-major order into the supplied `ByteBuffer` starting at the specified absolute buffer position/index.
`DoubleBuffer`	`get(int index, DoubleBuffer dest)` Store this matrix in column-major order into the supplied `DoubleBuffer` starting at the specified absolute buffer position/index.
`FloatBuffer`	`get(int index, FloatBuffer dest)` 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`.
`Matrix3d`	`get3x3(Matrix3d dest)` Get the current values of the upper left 3x3 submatrix of `this` matrix and store them into `dest`.
`Matrix4x3d`	`get4x3(Matrix4x3d dest)` Get the current values of the upper 4x3 submatrix of `this` matrix and store them into `dest`.
`ByteBuffer`	`get4x3Transposed(ByteBuffer dest)` Store the upper 4x3 submatrix of `this` matrix in row-major order into the supplied `ByteBuffer` at the current buffer `position`.
`DoubleBuffer`	`get4x3Transposed(DoubleBuffer dest)` Store the upper 4x3 submatrix of `this` matrix in row-major order into the supplied `DoubleBuffer` at the current buffer `position`.
`ByteBuffer`	`get4x3Transposed(int index, ByteBuffer dest)` Store the upper 4x3 submatrix of `this` matrix in row-major order into the supplied `ByteBuffer` starting at the specified absolute buffer position/index.
`DoubleBuffer`	`get4x3Transposed(int index, DoubleBuffer dest)` Store the upper 4x3 submatrix of `this` matrix in row-major order into the supplied `DoubleBuffer` starting at the specified absolute buffer position/index.
`Vector3d`	`getColumn(int column, Vector3d dest)` Get the first three components of the column at the given `column` index, starting with `0`.
`Vector4d`	`getColumn(int column, Vector4d dest)` Get the column at the given `column` index, starting with `0`.
`Vector3d`	`getEulerAnglesZYX(Vector3d dest)` Extract the Euler angles from the rotation represented by the upper left 3x3 submatrix of `this` and store the extracted Euler angles in `dest`.
`ByteBuffer`	`getFloats(ByteBuffer dest)` Store the elements of this matrix as float values in column-major order into the supplied `ByteBuffer` at the current buffer `position`.
`ByteBuffer`	`getFloats(int index, ByteBuffer dest)` Store the elements of this matrix as float values in column-major order into the supplied `ByteBuffer` starting at the specified absolute buffer position/index.
`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`.
`Vector3d`	`getRow(int row, Vector3d dest)` Get the first three components of the row at the given `row` index, starting with `0`.
`Vector4d`	`getRow(int row, Vector4d dest)` Get the row at the given `row` index, starting with `0`.
`Vector3d`	`getScale(Vector3d dest)` Get the scaling factors of `this` matrix for the three base axes.
`Vector3d`	`getTranslation(Vector3d dest)` Get only the translation components `(m30, m31, m32)` of this matrix and store them in the given vector `xyz`.
`ByteBuffer`	`getTransposed(ByteBuffer dest)` Store the transpose of this matrix in column-major order into the supplied `ByteBuffer` at the current buffer `position`.
`DoubleBuffer`	`getTransposed(DoubleBuffer dest)` Store the transpose of this matrix in column-major order into the supplied `DoubleBuffer` at the current buffer `position`.
`ByteBuffer`	`getTransposed(int index, ByteBuffer dest)` Store the transpose of this matrix in column-major order into the supplied `ByteBuffer` starting at the specified absolute buffer position/index.
`DoubleBuffer`	`getTransposed(int index, DoubleBuffer dest)` Store the transpose of this matrix in column-major order into the supplied `DoubleBuffer` 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()`
`Matrix4d`	`identity()` Reset this matrix to the identity.
`Matrix4d`	`invert()` Invert this matrix.
`Matrix4d`	`invert(Matrix4d dest)` Invert `this` matrix and store the result in `dest`.
`Matrix4d`	`invertAffine()` Invert this matrix by assuming that it is an `affine` transformation (i.e.
`Matrix4d`	`invertAffine(Matrix4d dest)` Invert this matrix by assuming that it is an `affine` transformation (i.e.
`Matrix4d`	`invertFrustum()` If `this` is an arbitrary perspective projection matrix obtained via one of the `frustum()` methods or via `setFrustum()`, then this method builds the inverse of `this`.
`Matrix4d`	`invertFrustum(Matrix4d dest)` If `this` is an arbitrary perspective projection matrix obtained via one of the `frustum()` methods, then this method builds the inverse of `this` and stores it into the given `dest`.
`Matrix4d`	`invertOrtho()` Invert `this` orthographic projection matrix.
`Matrix4d`	`invertOrtho(Matrix4d dest)` Invert `this` orthographic projection matrix and store the result into the given `dest`.
`Matrix4d`	`invertPerspective()` If `this` is a perspective projection matrix obtained via one of the `perspective()` methods or via `setPerspective()`, that is, if `this` is a symmetrical perspective frustum transformation, then this method builds the inverse of `this`.
`Matrix4d`	`invertPerspective(Matrix4d dest)` If `this` is a perspective projection matrix obtained via one of the `perspective()` methods, that is, if `this` is a symmetrical perspective frustum transformation, then this method builds the inverse of `this` and stores it into the given `dest`.
`Matrix4d`	`invertPerspectiveView(Matrix4dc view, Matrix4d dest)` If `this` is a perspective projection matrix obtained via one of the `perspective()` methods, that is, if `this` is a symmetrical perspective frustum transformation and the given `view` matrix is `affine` and has unit scaling (for example by being obtained via `lookAt()`), then this method builds the inverse of `this * view` and stores it into the given `dest`.
`Matrix4d`	`invertPerspectiveView(Matrix4x3dc view, Matrix4d dest)` If `this` is a perspective projection matrix obtained via one of the `perspective()` methods, that is, if `this` is a symmetrical perspective frustum transformation and the given `view` matrix has unit scaling, then this method builds the inverse of `this * view` and stores it into the given `dest`.
`boolean`	`isAffine()` Determine whether this matrix describes an affine transformation.
`Matrix4d`	`lerp(Matrix4dc other, double t)` Linearly interpolate `this` and `other` using the given interpolation factor `t` and store the result in `this`.
`Matrix4d`	`lerp(Matrix4dc other, double t, Matrix4d dest)` Linearly interpolate `this` and `other` using the given interpolation factor `t` and store the result in `dest`.
`Matrix4d`	`lookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ)` Apply a rotation transformation to this matrix to make `-z` point along `dir`.
`Matrix4d`	`lookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ, Matrix4d dest)` Apply a rotation transformation to this matrix to make `-z` point along `dir` and store the result in `dest`.
`Matrix4d`	`lookAlong(Vector3dc dir, Vector3dc up)` Apply a rotation transformation to this matrix to make `-z` point along `dir`.
`Matrix4d`	`lookAlong(Vector3dc dir, Vector3dc up, Matrix4d dest)` Apply a rotation transformation to this matrix to make `-z` point along `dir` and store the result in `dest`.
`Matrix4d`	`lookAt(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ)` Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns `-z` with `center - eye`.
`Matrix4d`	`lookAt(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ, Matrix4d dest)` Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns `-z` with `center - eye` and store the result in `dest`.
`Matrix4d`	`lookAt(Vector3dc eye, Vector3dc center, Vector3dc up)` Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns `-z` with `center - eye`.
`Matrix4d`	`lookAt(Vector3dc eye, Vector3dc center, Vector3dc up, Matrix4d 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`.
`Matrix4d`	`lookAtLH(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ)` Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns `+z` with `center - eye`.
`Matrix4d`	`lookAtLH(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ, Matrix4d dest)` Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns `+z` with `center - eye` and store the result in `dest`.
`Matrix4d`	`lookAtLH(Vector3dc eye, Vector3dc center, Vector3dc up)` Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns `+z` with `center - eye`.
`Matrix4d`	`lookAtLH(Vector3dc eye, Vector3dc center, Vector3dc up, Matrix4d dest)` Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns `+z` with `center - eye` and store the result in `dest`.
`Matrix4d`	`lookAtPerspective(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ, Matrix4d dest)` Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns `-z` with `center - eye` and store the result in `dest`.
`Matrix4d`	`lookAtPerspectiveLH(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ, Matrix4d dest)` Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns `+z` with `center - eye` and store the result in `dest`.
`double`	`m00()` Return the value of the matrix element at column 0 and row 0.
`Matrix4d`	`m00(double m00)` Set the value of the matrix element at column 0 and row 0.
`double`	`m01()` Return the value of the matrix element at column 0 and row 1.
`Matrix4d`	`m01(double m01)` Set the value of the matrix element at column 0 and row 1.
`double`	`m02()` Return the value of the matrix element at column 0 and row 2.
`Matrix4d`	`m02(double m02)` Set the value of the matrix element at column 0 and row 2.
`double`	`m03()` Return the value of the matrix element at column 0 and row 3.
`Matrix4d`	`m03(double m03)` Set the value of the matrix element at column 0 and row 3.
`double`	`m10()` Return the value of the matrix element at column 1 and row 0.
`Matrix4d`	`m10(double m10)` Set the value of the matrix element at column 1 and row 0.
`double`	`m11()` Return the value of the matrix element at column 1 and row 1.
`Matrix4d`	`m11(double m11)` Set the value of the matrix element at column 1 and row 1.
`double`	`m12()` Return the value of the matrix element at column 1 and row 2.
`Matrix4d`	`m12(double m12)` Set the value of the matrix element at column 1 and row 2.
`double`	`m13()` Return the value of the matrix element at column 1 and row 3.
`Matrix4d`	`m13(double m13)` Set the value of the matrix element at column 1 and row 3.
`double`	`m20()` Return the value of the matrix element at column 2 and row 0.
`Matrix4d`	`m20(double m20)` Set the value of the matrix element at column 2 and row 0.
`double`	`m21()` Return the value of the matrix element at column 2 and row 1.
`Matrix4d`	`m21(double m21)` Set the value of the matrix element at column 2 and row 1.
`double`	`m22()` Return the value of the matrix element at column 2 and row 2.
`Matrix4d`	`m22(double m22)` Set the value of the matrix element at column 2 and row 2.
`double`	`m23()` Return the value of the matrix element at column 2 and row 3.
`Matrix4d`	`m23(double m23)` Set the value of the matrix element at column 2 and row 3.
`double`	`m30()` Return the value of the matrix element at column 3 and row 0.
`Matrix4d`	`m30(double m30)` Set the value of the matrix element at column 3 and row 0.
`double`	`m31()` Return the value of the matrix element at column 3 and row 1.
`Matrix4d`	`m31(double m31)` Set the value of the matrix element at column 3 and row 1.
`double`	`m32()` Return the value of the matrix element at column 3 and row 2.
`Matrix4d`	`m32(double m32)` Set the value of the matrix element at column 3 and row 2.
`double`	`m33()` Return the value of the matrix element at column 3 and row 3.
`Matrix4d`	`m33(double m33)` Set the value of the matrix element at column 3 and row 3.
`Matrix4d`	`mul(Matrix3x2dc right)` Multiply this matrix by the supplied `right` matrix and store the result in `this`.
`Matrix4d`	`mul(Matrix3x2dc right, Matrix4d dest)` Multiply this matrix by the supplied `right` matrix and store the result in `dest`.
`Matrix4d`	`mul(Matrix3x2fc right)` Multiply this matrix by the supplied `right` matrix and store the result in `this`.
`Matrix4d`	`mul(Matrix3x2fc right, Matrix4d dest)` Multiply this matrix by the supplied `right` matrix and store the result in `dest`.
`Matrix4d`	`mul(Matrix4dc right)` Multiply this matrix by the supplied `right` matrix.
`Matrix4d`	`mul(Matrix4dc right, Matrix4d dest)` Multiply this matrix by the supplied `right` matrix and store the result in `dest`.
`Matrix4d`	`mul(Matrix4f right)` Multiply this matrix by the supplied parameter matrix.
`Matrix4d`	`mul(Matrix4fc right, Matrix4d dest)` Multiply this matrix by the supplied parameter matrix and store the result in `dest`.
`Matrix4d`	`mul(Matrix4x3dc right)`
`Matrix4d`	`mul(Matrix4x3dc right, Matrix4d dest)` Multiply this matrix by the supplied `right` matrix and store the result in `dest`.
`Matrix4d`	`mul(Matrix4x3fc right, Matrix4d dest)` Multiply this matrix by the supplied `right` matrix and store the result in `dest`.
`Matrix4d`	`mul4x3ComponentWise(Matrix4dc other)` Component-wise multiply the upper 4x3 submatrices of `this` by `other`.
`Matrix4d`	`mul4x3ComponentWise(Matrix4dc other, Matrix4d dest)` Component-wise multiply the upper 4x3 submatrices of `this` by `other` and store the result in `dest`.
`Matrix4d`	`mulAffine(Matrix4dc right)` Multiply this matrix by the supplied `right` matrix, both of which are assumed to be `affine`, and store the result in `this`.
`Matrix4d`	`mulAffine(Matrix4dc right, Matrix4d dest)` Multiply this matrix by the supplied `right` matrix, both of which are assumed to be `affine`, and store the result in `dest`.
`Matrix4d`	`mulAffineR(Matrix4dc right)` Multiply this matrix by the supplied `right` matrix, which is assumed to be `affine`, and store the result in `this`.
`Matrix4d`	`mulAffineR(Matrix4dc right, Matrix4d dest)` Multiply this matrix by the supplied `right` matrix, which is assumed to be `affine`, and store the result in `dest`.
`Matrix4d`	`mulComponentWise(Matrix4dc other)` Component-wise multiply `this` by `other`.
`Matrix4d`	`mulComponentWise(Matrix4dc other, Matrix4d dest)` Component-wise multiply `this` by `other` and store the result in `dest`.
`Matrix4d`	`mulLocal(Matrix4dc left)` Pre-multiply this matrix by the supplied `left` matrix and store the result in `this`.
`Matrix4d`	`mulLocal(Matrix4dc left, Matrix4d dest)` Pre-multiply this matrix by the supplied `left` matrix and store the result in `dest`.
`Matrix4d`	`mulLocalAffine(Matrix4dc left)` Pre-multiply this matrix by the supplied `left` matrix, both of which are assumed to be `affine`, and store the result in `this`.
`Matrix4d`	`mulLocalAffine(Matrix4dc left, Matrix4d dest)` Pre-multiply this matrix by the supplied `left` matrix, both of which are assumed to be `affine`, and store the result in `dest`.
`Matrix4d`	`mulOrthoAffine(Matrix4dc view)` Multiply `this` orthographic projection matrix by the supplied `affine` `view` matrix.
`Matrix4d`	`mulOrthoAffine(Matrix4dc view, Matrix4d dest)` Multiply `this` orthographic projection matrix by the supplied `affine` `view` matrix and store the result in `dest`.
`Matrix4d`	`mulPerspectiveAffine(Matrix4dc view)` Multiply `this` symmetric perspective projection matrix by the supplied `affine` `view` matrix.
`Matrix4d`	`mulPerspectiveAffine(Matrix4dc view, Matrix4d dest)` Multiply `this` symmetric perspective projection matrix by the supplied `affine` `view` matrix and store the result in `dest`.
`Matrix4d`	`mulTranslationAffine(Matrix4dc right, Matrix4d dest)` Multiply this matrix, which is assumed to only contain a translation, by the supplied `right` matrix, which is assumed to be `affine`, and store the result in `dest`.
`Matrix4d`	`normal()` Compute a normal matrix from the upper left 3x3 submatrix of `this` and store it into the upper left 3x3 submatrix of `this`.
`Matrix3d`	`normal(Matrix3d dest)` Compute a normal matrix from the upper left 3x3 submatrix of `this` and store it into `dest`.
`Matrix4d`	`normal(Matrix4d dest)` Compute a normal matrix from the upper left 3x3 submatrix of `this` and store it into the upper left 3x3 submatrix of `dest`.
`Matrix4d`	`normalize3x3()` Normalize the upper left 3x3 submatrix of this matrix.
`Matrix3d`	`normalize3x3(Matrix3d dest)` Normalize the upper left 3x3 submatrix of this matrix and store the result in `dest`.
`Matrix4d`	`normalize3x3(Matrix4d dest)` Normalize the upper left 3x3 submatrix of this matrix and store the result in `dest`.
`Vector3d`	`normalizedPositiveX(Vector3d dest)` Obtain the direction of `+X` before the transformation represented by `this` orthogonal matrix is applied.
`Vector3d`	`normalizedPositiveY(Vector3d dest)` Obtain the direction of `+Y` before the transformation represented by `this` orthogonal matrix is applied.
`Vector3d`	`normalizedPositiveZ(Vector3d dest)` Obtain the direction of `+Z` before the transformation represented by `this` orthogonal matrix is applied.
`Matrix4d`	`obliqueZ(double a, double b)` Apply an oblique projection transformation to this matrix with the given values for `a` and `b`.
`Matrix4d`	`obliqueZ(double a, double b, Matrix4d dest)` Apply an oblique projection transformation to this matrix with the given values for `a` and `b` and store the result in `dest`.
`Vector3d`	`origin(Vector3d dest)` Obtain the position that gets transformed to the origin by `this` matrix.
`Vector3d`	`originAffine(Vector3d dest)` Obtain the position that gets transformed to the origin by `this` `affine` matrix.
`Matrix4d`	`ortho(double left, double right, double bottom, double top, double zNear, double zFar)` Apply an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix.
`Matrix4d`	`ortho(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)` Apply an orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix.
`Matrix4d`	`ortho(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)` Apply an orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in `dest`.
`Matrix4d`	`ortho(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4d dest)` Apply an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix and store the result in `dest`.
`Matrix4d`	`ortho2D(double left, double right, double bottom, double top)` Apply an orthographic projection transformation for a right-handed coordinate system to this matrix.
`Matrix4d`	`ortho2D(double left, double right, double bottom, double top, Matrix4d dest)` Apply an orthographic projection transformation for a right-handed coordinate system to this matrix and store the result in `dest`.
`Matrix4d`	`ortho2DLH(double left, double right, double bottom, double top)` Apply an orthographic projection transformation for a left-handed coordinate system to this matrix.
`Matrix4d`	`ortho2DLH(double left, double right, double bottom, double top, Matrix4d dest)` Apply an orthographic projection transformation for a left-handed coordinate system to this matrix and store the result in `dest`.
`Matrix4d`	`orthoCrop(Matrix4dc view, Matrix4d dest)` Build an ortographic projection transformation that fits the view-projection transformation represented by `this` into the given affine `view` transformation.
`Matrix4d`	`orthoLH(double left, double right, double bottom, double top, double zNear, double zFar)` Apply an orthographic projection transformation for a left-handed coordiante system using OpenGL's NDC z range of `[-1..+1]` to this matrix.
`Matrix4d`	`orthoLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)` Apply an orthographic projection transformation for a left-handed coordiante system using the given NDC z range to this matrix.
`Matrix4d`	`orthoLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)` Apply an orthographic projection transformation for a left-handed coordiante system using the given NDC z range to this matrix and store the result in `dest`.
`Matrix4d`	`orthoLH(double left, double right, double bottom, double top, double zNear, double zFar, Matrix4d dest)` Apply an orthographic projection transformation for a left-handed coordiante system using OpenGL's NDC z range of `[-1..+1]` to this matrix and store the result in `dest`.
`Matrix4d`	`orthoSymmetric(double width, double height, double zNear, double zFar)` Apply a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix.
`Matrix4d`	`orthoSymmetric(double width, double height, double zNear, double zFar, boolean zZeroToOne)` Apply a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix.
`Matrix4d`	`orthoSymmetric(double width, double height, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)` Apply a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in `dest`.
`Matrix4d`	`orthoSymmetric(double width, double height, double zNear, double zFar, Matrix4d dest)` Apply a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix and store the result in `dest`.
`Matrix4d`	`orthoSymmetricLH(double width, double height, double zNear, double zFar)` Apply a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix.
`Matrix4d`	`orthoSymmetricLH(double width, double height, double zNear, double zFar, boolean zZeroToOne)` Apply a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range to this matrix.
`Matrix4d`	`orthoSymmetricLH(double width, double height, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)` Apply a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in `dest`.
`Matrix4d`	`orthoSymmetricLH(double width, double height, double zNear, double zFar, Matrix4d dest)` Apply a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix and store the result in `dest`.
`Matrix4d`	`perspective(double fovy, double aspect, double zNear, double zFar)` Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix.
`Matrix4d`	`perspective(double fovy, double aspect, double zNear, double zFar, boolean zZeroToOne)` Apply a symmetric perspective projection frustum transformation using for a right-handed coordinate system the given NDC z range to this matrix.
`Matrix4d`	`perspective(double fovy, double aspect, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)` Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in `dest`.
`Matrix4d`	`perspective(double fovy, double aspect, double zNear, double zFar, Matrix4d dest)` Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix and store the result in `dest`.
`double`	`perspectiveFar()` Extract the far clip plane distance from `this` perspective projection matrix.
`double`	`perspectiveFov()` Return the vertical field-of-view angle in radians of this perspective transformation matrix.
`Matrix4d`	`perspectiveFrustumSlice(double near, double far, Matrix4d dest)` Change the near and far clip plane distances of `this` perspective frustum transformation matrix and store the result in `dest`.
`Matrix4d`	`perspectiveLH(double fovy, double aspect, double zNear, double zFar)` Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix.
`Matrix4d`	`perspectiveLH(double fovy, double aspect, double zNear, double zFar, boolean zZeroToOne)` Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix.
`Matrix4d`	`perspectiveLH(double fovy, double aspect, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)` Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in `dest`.
`Matrix4d`	`perspectiveLH(double fovy, double aspect, double zNear, double zFar, Matrix4d dest)` Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix and store the result in `dest`.
`double`	`perspectiveNear()` Extract the near clip plane distance from `this` perspective projection matrix.
`Matrix4d`	`perspectiveOffCenter(double fovy, double offAngleX, double offAngleY, double aspect, double zNear, double zFar)` Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix.
`Matrix4d`	`perspectiveOffCenter(double fovy, double offAngleX, double offAngleY, double aspect, double zNear, double zFar, boolean zZeroToOne)` Apply an asymmetric off-center perspective projection frustum transformation using for a right-handed coordinate system the given NDC z range to this matrix.
`Matrix4d`	`perspectiveOffCenter(double fovy, double offAngleX, double offAngleY, double aspect, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)` Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in `dest`.
`Matrix4d`	`perspectiveOffCenter(double fovy, double offAngleX, double offAngleY, double aspect, double zNear, double zFar, Matrix4d dest)` Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix and store the result in `dest`.
`Vector3d`	`perspectiveOrigin(Vector3d dest)` 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`.
`Matrix4d`	`perspectiveRect(double width, double height, double zNear, double zFar)` Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix.
`Matrix4d`	`perspectiveRect(double width, double height, double zNear, double zFar, boolean zZeroToOne)` Apply a symmetric perspective projection frustum transformation using for a right-handed coordinate system the given NDC z range to this matrix.
`Matrix4d`	`perspectiveRect(double width, double height, double zNear, double zFar, boolean zZeroToOne, Matrix4d dest)` Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in `dest`.
`Matrix4d`	`perspectiveRect(double width, double height, double zNear, double zFar, Matrix4d dest)` Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]` to this matrix and store the result in `dest`.
`Matrix4d`	`pick(double x, double y, double width, double height, int[] viewport)` Apply a picking transformation to this matrix using the given window coordinates `(x, y)` as the pick center and the given `(width, height)` as the size of the picking region in window coordinates.
`Matrix4d`	`pick(double x, double y, double width, double height, int[] viewport, Matrix4d dest)` Apply a picking transformation to this matrix using the given window coordinates `(x, y)` as the pick center and the given `(width, height)` as the size of the picking region in window coordinates, and store the result in `dest`.
`Vector3d`	`positiveX(Vector3d dest)` Obtain the direction of `+X` before the transformation represented by `this` matrix is applied.
`Vector3d`	`positiveY(Vector3d dest)` Obtain the direction of `+Y` before the transformation represented by `this` matrix is applied.
`Vector3d`	`positiveZ(Vector3d dest)` Obtain the direction of `+Z` before the transformation represented by `this` matrix is applied.
`Vector3d`	`project(double x, double y, double z, int[] viewport, Vector3d dest)` Project the given `(x, y, z)` position via `this` matrix using the specified viewport and store the resulting window coordinates in `winCoordsDest`.
`Vector4d`	`project(double x, double y, double z, int[] viewport, Vector4d dest)` Project the given `(x, y, z)` position via `this` matrix using the specified viewport and store the resulting window coordinates in `winCoordsDest`.
`Vector3d`	`project(Vector3dc position, int[] viewport, Vector3d dest)` Project the given `position` via `this` matrix using the specified viewport and store the resulting window coordinates in `winCoordsDest`.
`Vector4d`	`project(Vector3dc position, int[] viewport, Vector4d dest)` Project the given `position` via `this` matrix using the specified viewport and store the resulting window coordinates in `winCoordsDest`.
`Matrix4d`	`projectedGridRange(Matrix4dc projector, double sLower, double sUpper, Matrix4d dest)` Compute the range matrix for the Projected Grid transformation as described in chapter "2.4.2 Creating the range conversion matrix" of the paper Real-time water rendering - Introducing the projected grid concept based on the inverse of the view-projection matrix which is assumed to be `this`, and store that range matrix into `dest`.
`static void`	`projViewFromRectangle(Vector3d eye, Vector3d p, Vector3d x, Vector3d y, double nearFarDist, boolean zeroToOne, Matrix4d projDest, Matrix4d viewDest)` Create a view and projection matrix from a given `eye` position, a given bottom left corner position `p` of the near plane rectangle and the extents of the near plane rectangle along its local `x` and `y` axes, and store the resulting matrices in `projDest` and `viewDest`.
`int`	`properties()` Return the assumed properties of this matrix.
`void`	`readExternal(ObjectInput in)`
`Matrix4d`	`reflect(double a, double b, double c, double d)` Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation `xa + yb + z*c + d = 0`.
`Matrix4d`	`reflect(double nx, double ny, double nz, double px, double py, double pz)` Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.
`Matrix4d`	`reflect(double nx, double ny, double nz, double px, double py, double pz, Matrix4d dest)` Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in `dest`.
`Matrix4d`	`reflect(double a, double b, double c, double d, Matrix4d dest)` Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation `xa + yb + z*c + d = 0` and store the result in `dest`.
`Matrix4d`	`reflect(Quaterniondc orientation, Vector3dc point)` Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane.
`Matrix4d`	`reflect(Quaterniondc orientation, Vector3dc point, Matrix4d dest)` Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane, and store the result in `dest`.
`Matrix4d`	`reflect(Vector3dc normal, Vector3dc point)` Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.
`Matrix4d`	`reflect(Vector3dc normal, Vector3dc point, Matrix4d dest)` Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in `dest`.
`Matrix4d`	`reflection(double a, double b, double c, double d)` Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the equation `xa + yb + z*c + d = 0`.
`Matrix4d`	`reflection(double nx, double ny, double nz, double px, double py, double pz)` Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.
`Matrix4d`	`reflection(Quaterniondc orientation, Vector3dc point)` Set this matrix to a mirror/reflection transformation that reflects about a plane specified via the plane orientation and a point on the plane.
`Matrix4d`	`reflection(Vector3dc normal, Vector3dc point)` Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.
`Matrix4d`	`rotate(AxisAngle4d axisAngle)` Apply a rotation transformation, rotating about the given `AxisAngle4d`, to this matrix.
`Matrix4d`	`rotate(AxisAngle4d axisAngle, Matrix4d dest)` Apply a rotation transformation, rotating about the given `AxisAngle4d` and store the result in `dest`.
`Matrix4d`	`rotate(AxisAngle4f axisAngle)` Apply a rotation transformation, rotating about the given `AxisAngle4f`, to this matrix.
`Matrix4d`	`rotate(AxisAngle4f axisAngle, Matrix4d dest)` Apply a rotation transformation, rotating about the given `AxisAngle4f` and store the result in `dest`.
`Matrix4d`	`rotate(double ang, double x, double y, double z)` Apply rotation to this matrix by rotating the given amount of radians about the given axis specified as x, y and z components.
`Matrix4d`	`rotate(double ang, double x, double y, double z, Matrix4d dest)` Apply rotation to this matrix by rotating the given amount of radians about the given axis specified as x, y and z components and store the result in `dest`.
`Matrix4d`	`rotate(double angle, Vector3dc axis)` Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.
`Matrix4d`	`rotate(double angle, Vector3dc axis, Matrix4d dest)` Apply a rotation transformation, rotating the given radians about the specified axis and store the result in `dest`.
`Matrix4d`	`rotate(double angle, Vector3fc axis)` Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.
`Matrix4d`	`rotate(double angle, Vector3fc axis, Matrix4d dest)` Apply a rotation transformation, rotating the given radians about the specified axis and store the result in `dest`.
`Matrix4d`	`rotate(Quaterniondc quat)` Apply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this matrix.
`Matrix4d`	`rotate(Quaterniondc quat, Matrix4d dest)` Apply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this matrix and store the result in `dest`.
`Matrix4d`	`rotate(Quaternionfc quat)` Apply the rotation - and possibly scaling - transformation of the given `Quaternionfc` to this matrix.
`Matrix4d`	`rotate(Quaternionfc quat, Matrix4d dest)` Apply the rotation - and possibly scaling - transformation of the given `Quaternionfc` to this matrix and store the result in `dest`.
`Matrix4d`	`rotateAffine(double ang, double x, double y, double z)` Apply rotation to this `affine` matrix by rotating the given amount of radians about the specified `(x, y, z)` axis.
`Matrix4d`	`rotateAffine(double ang, double x, double y, double z, Matrix4d dest)` Apply rotation to this `affine` matrix by rotating the given amount of radians about the specified `(x, y, z)` axis and store the result in `dest`.
`Matrix4d`	`rotateAffine(Quaterniondc quat)` Apply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this matrix.
`Matrix4d`	`rotateAffine(Quaterniondc quat, Matrix4d dest)` Apply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this `affine` matrix and store the result in `dest`.
`Matrix4d`	`rotateAffine(Quaternionfc quat)` Apply the rotation - and possibly scaling - transformation of the given `Quaternionfc` to this matrix.
`Matrix4d`	`rotateAffine(Quaternionfc quat, Matrix4d dest)` Apply the rotation - and possibly scaling - transformation of the given `Quaternionfc` to this `affine` matrix and store the result in `dest`.
`Matrix4d`	`rotateAffineXYZ(double angleX, double angleY, double angleZ)` Apply rotation of `angleX` radians about the X axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleZ` radians about the Z axis.
`Matrix4d`	`rotateAffineXYZ(double angleX, double angleY, double angleZ, Matrix4d 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`.
`Matrix4d`	`rotateAffineYXZ(double angleY, double angleX, double angleZ)` Apply rotation of `angleY` radians about the Y axis, followed by a rotation of `angleX` radians about the X axis and followed by a rotation of `angleZ` radians about the Z axis.
`Matrix4d`	`rotateAffineYXZ(double angleY, double angleX, double angleZ, Matrix4d 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`.
`Matrix4d`	`rotateAffineZYX(double angleZ, double angleY, double angleX)` Apply rotation of `angleZ` radians about the Z axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleX` radians about the X axis.
`Matrix4d`	`rotateAffineZYX(double angleZ, double angleY, double angleX, Matrix4d 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`.
`Matrix4d`	`rotateAround(Quaterniondc quat, double ox, double oy, double oz)` Apply the rotation transformation of the given `Quaterniondc` to this matrix while using `(ox, oy, oz)` as the rotation origin.
`Matrix4d`	`rotateAround(Quaterniondc quat, double ox, double oy, double oz, Matrix4d dest)` Apply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this matrix while using `(ox, oy, oz)` as the rotation origin, and store the result in `dest`.
`Matrix4d`	`rotateAroundAffine(Quaterniondc quat, double ox, double oy, double oz, Matrix4d dest)` Apply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this `affine` matrix while using `(ox, oy, oz)` as the rotation origin, and store the result in `dest`.
`Matrix4d`	`rotateAroundLocal(Quaterniondc quat, double ox, double oy, double oz)` Pre-multiply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this matrix while using `(ox, oy, oz)` as the rotation origin.
`Matrix4d`	`rotateAroundLocal(Quaterniondc quat, double ox, double oy, double oz, Matrix4d dest)` Pre-multiply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this matrix while using `(ox, oy, oz)` as the rotation origin, and store the result in `dest`.
`Matrix4d`	`rotateLocal(double ang, double x, double y, double z)` Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified `(x, y, z)` axis.
`Matrix4d`	`rotateLocal(double ang, double x, double y, double z, Matrix4d dest)` Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified `(x, y, z)` axis and store the result in `dest`.
`Matrix4d`	`rotateLocal(Quaterniondc quat)` Pre-multiply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this matrix.
`Matrix4d`	`rotateLocal(Quaterniondc quat, Matrix4d dest)` Pre-multiply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this matrix and store the result in `dest`.
`Matrix4d`	`rotateLocal(Quaternionfc quat)` Pre-multiply the rotation - and possibly scaling - transformation of the given `Quaternionfc` to this matrix.
`Matrix4d`	`rotateLocal(Quaternionfc quat, Matrix4d dest)` Pre-multiply the rotation - and possibly scaling - transformation of the given `Quaternionfc` to this matrix and store the result in `dest`.
`Matrix4d`	`rotateLocalX(double ang)` Pre-multiply a rotation to this matrix by rotating the given amount of radians about the X axis.
`Matrix4d`	`rotateLocalX(double ang, Matrix4d dest)` Pre-multiply a rotation around the X axis to this matrix by rotating the given amount of radians about the X axis and store the result in `dest`.
`Matrix4d`	`rotateLocalY(double ang)` Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Y axis.
`Matrix4d`	`rotateLocalY(double ang, Matrix4d dest)` Pre-multiply a rotation around the Y axis to this matrix by rotating the given amount of radians about the Y axis and store the result in `dest`.
`Matrix4d`	`rotateLocalZ(double ang)` Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Z axis.
`Matrix4d`	`rotateLocalZ(double ang, Matrix4d dest)` Pre-multiply a rotation around the Z axis to this matrix by rotating the given amount of radians about the Z axis and store the result in `dest`.
`Matrix4d`	`rotateTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ)` Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local `+Z` axis with `(dirX, dirY, dirZ)`.
`Matrix4d`	`rotateTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ, Matrix4d dest)` Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local `+Z` axis with `dir` and store the result in `dest`.
`Matrix4d`	`rotateTowards(Vector3dc direction, Vector3dc up)` Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local `+Z` axis with `direction`.
`Matrix4d`	`rotateTowards(Vector3dc direction, Vector3dc up, Matrix4d dest)` Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local `+Z` axis with `direction` and store the result in `dest`.
`Matrix4d`	`rotateTowardsXY(double dirX, double dirY)` Apply rotation about the Z axis to align the local `+X` towards `(dirX, dirY)`.
`Matrix4d`	`rotateTowardsXY(double dirX, double dirY, Matrix4d dest)` Apply rotation about the Z axis to align the local `+X` towards `(dirX, dirY)` and store the result in `dest`.
`Matrix4d`	`rotateTranslation(double ang, double x, double y, double z, Matrix4d dest)` Apply rotation to this matrix, which is assumed to only contain a translation, by rotating the given amount of radians about the specified `(x, y, z)` axis and store the result in `dest`.
`Matrix4d`	`rotateTranslation(Quaterniondc quat, Matrix4d dest)` Apply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this matrix, which is assumed to only contain a translation, and store the result in `dest`.
`Matrix4d`	`rotateTranslation(Quaternionfc quat, Matrix4d dest)` Apply the rotation - and possibly scaling - transformation of the given `Quaternionfc` to this matrix, which is assumed to only contain a translation, and store the result in `dest`.
`Matrix4d`	`rotateX(double ang)` Apply rotation about the X axis to this matrix by rotating the given amount of radians.
`Matrix4d`	`rotateX(double ang, Matrix4d dest)` Apply rotation about the X axis to this matrix by rotating the given amount of radians and store the result in `dest`.
`Matrix4d`	`rotateXYZ(double angleX, double angleY, double angleZ)` Apply rotation of `angleX` radians about the X axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleZ` radians about the Z axis.
`Matrix4d`	`rotateXYZ(double angleX, double angleY, double angleZ, Matrix4d 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`.
`Matrix4d`	`rotateXYZ(Vector3d angles)` Apply rotation of `angles.x` radians about the X axis, followed by a rotation of `angles.y` radians about the Y axis and followed by a rotation of `angles.z` radians about the Z axis.
`Matrix4d`	`rotateY(double ang)` Apply rotation about the Y axis to this matrix by rotating the given amount of radians.
`Matrix4d`	`rotateY(double ang, Matrix4d dest)` Apply rotation about the Y axis to this matrix by rotating the given amount of radians and store the result in `dest`.
`Matrix4d`	`rotateYXZ(double angleY, double angleX, double angleZ)` Apply rotation of `angleY` radians about the Y axis, followed by a rotation of `angleX` radians about the X axis and followed by a rotation of `angleZ` radians about the Z axis.
`Matrix4d`	`rotateYXZ(double angleY, double angleX, double angleZ, Matrix4d 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`.
`Matrix4d`	`rotateYXZ(Vector3d angles)` Apply rotation of `angles.y` radians about the Y axis, followed by a rotation of `angles.x` radians about the X axis and followed by a rotation of `angles.z` radians about the Z axis.
`Matrix4d`	`rotateZ(double ang)` Apply rotation about the Z axis to this matrix by rotating the given amount of radians.
`Matrix4d`	`rotateZ(double ang, Matrix4d dest)` Apply rotation about the Z axis to this matrix by rotating the given amount of radians and store the result in `dest`.
`Matrix4d`	`rotateZYX(double angleZ, double angleY, double angleX)` Apply rotation of `angleZ` radians about the Z axis, followed by a rotation of `angleY` radians about the Y axis and followed by a rotation of `angleX` radians about the X axis.
`Matrix4d`	`rotateZYX(double angleZ, double angleY, double angleX, Matrix4d 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`.
`Matrix4d`	`rotateZYX(Vector3d angles)` Apply rotation of `angles.z` radians about the Z axis, followed by a rotation of `angles.y` radians about the Y axis and followed by a rotation of `angles.x` radians about the X axis.
`Matrix4d`	`rotation(AxisAngle4d angleAxis)` Set this matrix to a rotation transformation using the given `AxisAngle4d`.
`Matrix4d`	`rotation(AxisAngle4f angleAxis)` Set this matrix to a rotation transformation using the given `AxisAngle4f`.
`Matrix4d`	`rotation(double angle, double x, double y, double z)` Set this matrix to a rotation matrix which rotates the given radians about a given axis.
`Matrix4d`	`rotation(double angle, Vector3dc axis)` Set this matrix to a rotation matrix which rotates the given radians about a given axis.
`Matrix4d`	`rotation(double angle, Vector3fc axis)` Set this matrix to a rotation matrix which rotates the given radians about a given axis.
`Matrix4d`	`rotation(Quaterniondc quat)` Set this matrix to the rotation - and possibly scaling - transformation of the given `Quaterniondc`.
`Matrix4d`	`rotation(Quaternionfc quat)` Set this matrix to the rotation - and possibly scaling - transformation of the given `Quaternionfc`.
`Matrix4d`	`rotationAround(Quaterniondc quat, double ox, double oy, double oz)` Set this matrix to a transformation composed of a rotation of the specified `Quaterniondc` while using `(ox, oy, oz)` as the rotation origin.
`Matrix4d`	`rotationTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ)` Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local `-z` axis with `dir`.
`Matrix4d`	`rotationTowards(Vector3dc dir, Vector3dc up)` Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local `-z` axis with `dir`.
`Matrix4d`	`rotationTowardsXY(double dirX, double dirY)` Set this matrix to a rotation transformation about the Z axis to align the local `+X` towards `(dirX, dirY)`.
`Matrix4d`	`rotationX(double ang)` Set this matrix to a rotation transformation about the X axis.
`Matrix4d`	`rotationXYZ(double angleX, double angleY, double angleZ)` Set this matrix to a rotation 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.
`Matrix4d`	`rotationY(double ang)` Set this matrix to a rotation transformation about the Y axis.
`Matrix4d`	`rotationYXZ(double angleY, double angleX, double angleZ)` Set this matrix to a rotation 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.
`Matrix4d`	`rotationZ(double ang)` Set this matrix to a rotation transformation about the Z axis.
`Matrix4d`	`rotationZYX(double angleZ, double angleY, double angleX)` Set this matrix to a rotation 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.
`Matrix4d`	`scale(double xyz)` Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor.
`Matrix4d`	`scale(double x, double y, double z)` Apply scaling to `this` matrix by scaling the base axes by the given x, y and z factors.
`Matrix4d`	`scale(double x, double y, double z, Matrix4d dest)` Apply scaling to `this` matrix by scaling the base axes by the given x, y and z factors and store the result in `dest`.
`Matrix4d`	`scale(double xyz, Matrix4d dest)` Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor and store the result in `dest`.
`Matrix4d`	`scale(Vector3dc xyz)` Apply scaling to this matrix by scaling the base axes by the given `xyz.x`, `xyz.y` and `xyz.z` factors, respectively.
`Matrix4d`	`scale(Vector3dc xyz, Matrix4d dest)` Apply scaling to `this` matrix by scaling the base axes by the given `xyz.x`, `xyz.y` and `xyz.z` factors, respectively and store the result in `dest`.
`Matrix4d`	`scaleAround(double factor, double ox, double oy, double oz)` Apply scaling to this matrix by scaling all three base axes by the given `factor` while using `(ox, oy, oz)` as the scaling origin.
`Matrix4d`	`scaleAround(double sx, double sy, double sz, double ox, double oy, double oz)` Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using `(ox, oy, oz)` as the scaling origin.
`Matrix4d`	`scaleAround(double sx, double sy, double sz, double ox, double oy, double oz, Matrix4d dest)` Apply scaling to `this` matrix by scaling the base axes by the given sx, sy and sz factors while using `(ox, oy, oz)` as the scaling origin, and store the result in `dest`.
`Matrix4d`	`scaleAround(double factor, double ox, double oy, double oz, Matrix4d dest)` Apply scaling to this matrix by scaling all three base axes by the given `factor` while using `(ox, oy, oz)` as the scaling origin, and store the result in `dest`.
`Matrix4d`	`scaleAroundLocal(double factor, double ox, double oy, double oz)` Pre-multiply scaling to this matrix by scaling all three base axes by the given `factor` while using `(ox, oy, oz)` as the scaling origin.
`Matrix4d`	`scaleAroundLocal(double sx, double sy, double sz, double ox, double oy, double oz)` Pre-multiply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using `(ox, oy, oz)` as the scaling origin.
`Matrix4d`	`scaleAroundLocal(double sx, double sy, double sz, double ox, double oy, double oz, Matrix4d dest)` Pre-multiply scaling to `this` matrix by scaling the base axes by the given sx, sy and sz factors while using the given `(ox, oy, oz)` as the scaling origin, and store the result in `dest`.
`Matrix4d`	`scaleAroundLocal(double factor, double ox, double oy, double oz, Matrix4d dest)` Pre-multiply scaling to this matrix by scaling all three base axes by the given `factor` while using `(ox, oy, oz)` as the scaling origin, and store the result in `dest`.
`Matrix4d`	`scaleLocal(double xyz)` Pre-multiply scaling to this matrix by scaling the base axes by the given xyz factor.
`Matrix4d`	`scaleLocal(double x, double y, double z)` Pre-multiply scaling to this matrix by scaling the base axes by the given x, y and z factors.
`Matrix4d`	`scaleLocal(double x, double y, double z, Matrix4d dest)` Pre-multiply scaling to `this` matrix by scaling the base axes by the given x, y and z factors and store the result in `dest`.
`Matrix4d`	`scaleLocal(double xyz, Matrix4d dest)` Pre-multiply scaling to `this` matrix by scaling all base axes by the given `xyz` factor, and store the result in `dest`.
`Matrix4d`	`scaleXY(double x, double y)` Apply scaling to this matrix by scaling the X axis by `x` and the Y axis by `y`.
`Matrix4d`	`scaleXY(double x, double y, Matrix4d dest)` Apply scaling to this matrix by by scaling the X axis by `x` and the Y axis by `y` and store the result in `dest`.
`Matrix4d`	`scaling(double factor)` Set this matrix to be a simple scale matrix, which scales all axes uniformly by the given factor.
`Matrix4d`	`scaling(double x, double y, double z)` Set this matrix to be a simple scale matrix.
`Matrix4d`	`scaling(Vector3dc xyz)` Set this matrix to be a simple scale matrix which scales the base axes by `xyz.x`, `xyz.y` and `xyz.z`, respectively.
`Matrix4d`	`set(AxisAngle4d axisAngle)` Set this matrix to be equivalent to the rotation specified by the given `AxisAngle4d`.
`Matrix4d`	`set(AxisAngle4f axisAngle)` Set this matrix to be equivalent to the rotation specified by the given `AxisAngle4f`.
`Matrix4d`	`set(ByteBuffer buffer)` Set the values of this matrix by reading 16 double values from the given `ByteBuffer` in column-major order, starting at its current position.
`Matrix4d`	`set(double[] m)` Set the values in the matrix using a double array that contains the matrix elements in column-major order.
`Matrix4d`	`set(double[] m, int off)` Set the values in the matrix using a double array that contains the matrix elements in column-major order.
`Matrix4d`	`set(DoubleBuffer buffer)` Set the values of this matrix by reading 16 double values from the given `DoubleBuffer` in column-major order, starting at its current position.
`Matrix4d`	`set(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33)` Set the values within this matrix to the supplied double values.
`Matrix4d`	`set(float[] m)` Set the values in the matrix using a float array that contains the matrix elements in column-major order.
`Matrix4d`	`set(float[] m, int off)` Set the values in the matrix using a float array that contains the matrix elements in column-major order.
`Matrix4d`	`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.
`Matrix4d`	`set(Matrix3dc mat)` Set the upper left 3x3 submatrix of this `Matrix4d` to the given `Matrix3dc` and the rest to identity.
`Matrix4d`	`set(Matrix4dc m)` Store the values of the given matrix `m` into `this` matrix.
`Matrix4d`	`set(Matrix4fc m)` Store the values of the given matrix `m` into `this` matrix.
`Matrix4d`	`set(Matrix4x3dc m)` Store the values of the given matrix `m` into `this` matrix and set the other matrix elements to identity.
`Matrix4d`	`set(Matrix4x3fc m)` Store the values of the given matrix `m` into `this` matrix and set the other matrix elements to identity.
`Matrix4d`	`set(Quaterniondc q)` Set this matrix to be equivalent to the rotation - and possibly scaling - specified by the given `Quaterniondc`.
`Matrix4d`	`set(Quaternionfc q)` Set this matrix to be equivalent to the rotation - and possibly scaling - specified by the given `Quaternionfc`.
`Matrix4d`	`set(Vector4d col0, Vector4d col1, Vector4d col2, Vector4d col3)` Set the four columns of this matrix to the supplied vectors, respectively.
`Matrix4d`	`set3x3(Matrix3dc mat)` Set the upper left 3x3 submatrix of this `Matrix4d` to the given `Matrix3dc` and don't change the other elements.
`Matrix4d`	`set3x3(Matrix4dc mat)` Set the upper left 3x3 submatrix of this `Matrix4d` to that of the given `Matrix4dc` and don't change the other elements.
`Matrix4d`	`set4x3(Matrix4dc mat)` Set the upper 4x3 submatrix of this `Matrix4d` to the upper 4x3 submatrix of the given `Matrix4dc` and don't change the other elements.
`Matrix4d`	`set4x3(Matrix4x3dc mat)` Set the upper 4x3 submatrix of this `Matrix4d` to the given `Matrix4x3dc` and don't change the other elements.
`Matrix4d`	`set4x3(Matrix4x3fc mat)` Set the upper 4x3 submatrix of this `Matrix4d` to the given `Matrix4x3fc` and don't change the other elements.
`Matrix4d`	`setColumn(int column, Vector4dc src)` Set the column at the given `column` index, starting with `0`.
`Matrix4d`	`setFloats(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.
`Matrix4d`	`setFromIntrinsic(double alphaX, double alphaY, double gamma, double u0, double v0, int imgWidth, int imgHeight, double near, double far)` Set this matrix to represent a perspective projection equivalent to the given intrinsic camera calibration parameters.
`Matrix4d`	`setFrustum(double left, double right, double bottom, double top, double zNear, double zFar)` Set this matrix to be an arbitrary perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]`.
`Matrix4d`	`setFrustum(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)` Set this matrix to be an arbitrary perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.
`Matrix4d`	`setFrustumLH(double left, double right, double bottom, double top, double zNear, double zFar)` Set this matrix to be an arbitrary perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of `[-1..+1]`.
`Matrix4d`	`setFrustumLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)` Set this matrix to be an arbitrary perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of `[-1..+1]`.
`Matrix4d`	`setLookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ)` Set this matrix to a rotation transformation to make `-z` point along `dir`.
`Matrix4d`	`setLookAlong(Vector3dc dir, Vector3dc up)` Set this matrix to a rotation transformation to make `-z` point along `dir`.
`Matrix4d`	`setLookAt(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ)` Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns `-z` with `center - eye`.
`Matrix4d`	`setLookAt(Vector3dc eye, Vector3dc center, Vector3dc up)` Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns `-z` with `center - eye`.
`Matrix4d`	`setLookAtLH(double eyeX, double eyeY, double eyeZ, double centerX, double centerY, double centerZ, double upX, double upY, double upZ)` Set this matrix to be a "lookat" transformation for a left-handed coordinate system, that aligns `+z` with `center - eye`.
`Matrix4d`	`setLookAtLH(Vector3dc eye, Vector3dc center, Vector3dc up)` Set this matrix to be a "lookat" transformation for a left-handed coordinate system, that aligns `+z` with `center - eye`.
`Matrix4d`	`setOrtho(double left, double right, double bottom, double top, double zNear, double zFar)` Set this matrix to be an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]`.
`Matrix4d`	`setOrtho(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)` Set this matrix to be an orthographic projection transformation for a right-handed coordinate system using the given NDC z range.
`Matrix4d`	`setOrtho2D(double left, double right, double bottom, double top)` Set this matrix to be an orthographic projection transformation for a right-handed coordinate system.
`Matrix4d`	`setOrtho2DLH(double left, double right, double bottom, double top)` Set this matrix to be an orthographic projection transformation for a left-handed coordinate system.
`Matrix4d`	`setOrthoLH(double left, double right, double bottom, double top, double zNear, double zFar)` Set this matrix to be an orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of `[-1..+1]`.
`Matrix4d`	`setOrthoLH(double left, double right, double bottom, double top, double zNear, double zFar, boolean zZeroToOne)` Set this matrix to be an orthographic projection transformation for a left-handed coordinate system using the given NDC z range.
`Matrix4d`	`setOrthoSymmetric(double width, double height, double zNear, double zFar)` Set this matrix to be a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]`.
`Matrix4d`	`setOrthoSymmetric(double width, double height, double zNear, double zFar, boolean zZeroToOne)` Set this matrix to be a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range.
`Matrix4d`	`setOrthoSymmetricLH(double width, double height, double zNear, double zFar)` Set this matrix to be a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of `[-1..+1]`.
`Matrix4d`	`setOrthoSymmetricLH(double width, double height, double zNear, double zFar, boolean zZeroToOne)` Set this matrix to be a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range.
`Matrix4d`	`setPerspective(double fovy, double aspect, double zNear, double zFar)` Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]`.
`Matrix4d`	`setPerspective(double fovy, double aspect, double zNear, double zFar, boolean zZeroToOne)` Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.
`Matrix4d`	`setPerspectiveLH(double fovy, double aspect, double zNear, double zFar)` Set this matrix to be a symmetric perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of `[-1..+1]`.
`Matrix4d`	`setPerspectiveLH(double fovy, double aspect, double zNear, double zFar, boolean zZeroToOne)` Set this matrix to be a symmetric perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range of `[-1..+1]`.
`Matrix4d`	`setPerspectiveOffCenter(double fovy, double offAngleX, double offAngleY, double aspect, double zNear, double zFar)` Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]`.
`Matrix4d`	`setPerspectiveOffCenter(double fovy, double offAngleX, double offAngleY, double aspect, double zNear, double zFar, boolean zZeroToOne)` Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.
`Matrix4d`	`setPerspectiveRect(double width, double height, double zNear, double zFar)` Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of `[-1..+1]`.
`Matrix4d`	`setPerspectiveRect(double width, double height, double zNear, double zFar, boolean zZeroToOne)` Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.
`Matrix4d`	`setRotationXYZ(double angleX, double angleY, double angleZ)` Set only the upper left 3x3 submatrix of this matrix to a rotation 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.
`Matrix4d`	`setRotationYXZ(double angleY, double angleX, double 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.
`Matrix4d`	`setRotationZYX(double angleZ, double angleY, double 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.
`Matrix4d`	`setRow(int row, Vector4dc src)` Set the row at the given `row` index, starting with `0`.
`Matrix4d`	`setTranslation(double x, double y, double z)` Set only the translation components `(m30, m31, m32)` of this matrix to the given values `(x, y, z)`.
`Matrix4d`	`setTranslation(Vector3dc xyz)` Set only the translation components `(m30, m31, m32)` of this matrix to the given values `(xyz.x, xyz.y, xyz.z)`.
`Matrix4d`	`shadow(double lightX, double lightY, double lightZ, double lightW, double a, double b, double c, double d)` Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation `xa + yb + z*c + d = 0` as if casting a shadow from a given light position/direction `(lightX, lightY, lightZ, lightW)`.
`Matrix4d`	`shadow(double lightX, double lightY, double lightZ, double lightW, double a, double b, double c, double d, Matrix4d dest)` Apply a projection transformation to this matrix that projects onto the plane specified via the general plane 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`.
`Matrix4d`	`shadow(double lightX, double lightY, double lightZ, double lightW, Matrix4dc planeTransform)` Apply a projection transformation to this matrix that projects onto the plane with the general plane equation `y = 0` as if casting a shadow from a given light position/direction `(lightX, lightY, lightZ, lightW)`.
`Matrix4d`	`shadow(double lightX, double lightY, double lightZ, double lightW, Matrix4dc planeTransform, Matrix4d dest)` Apply a projection transformation to this matrix that projects onto the plane with the general plane equation `y = 0` as if casting a shadow from a given light position/direction `(lightX, lightY, lightZ, lightW)` and store the result in `dest`.
`Matrix4d`	`shadow(Vector4dc light, double a, double b, double c, double d)` Apply a projection transformation to this matrix that projects onto the plane specified via the general plane equation `xa + yb + z*c + d = 0` as if casting a shadow from a given light position/direction `light`.
`Matrix4d`	`shadow(Vector4dc light, double a, double b, double c, double d, Matrix4d dest)` Apply a projection transformation to this matrix that projects onto the plane specified via the general plane 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`.
`Matrix4d`	`shadow(Vector4dc light, Matrix4dc planeTransform, Matrix4d 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`.
`Matrix4d`	`shadow(Vector4d light, Matrix4d 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`.
`Matrix4d`	`sub(Matrix4dc subtrahend)` Component-wise subtract `subtrahend` from `this`.
`Matrix4d`	`sub(Matrix4dc subtrahend, Matrix4d dest)` Component-wise subtract `subtrahend` from `this` and store the result in `dest`.
`Matrix4d`	`sub4x3(Matrix4dc subtrahend)` Component-wise subtract the upper 4x3 submatrices of `subtrahend` from `this`.
`Matrix4d`	`sub4x3(Matrix4dc subtrahend, Matrix4d dest)` Component-wise subtract the upper 4x3 submatrices of `subtrahend` from `this` and store the result in `dest`.
`Matrix4d`	`swap(Matrix4d other)` Exchange the values of `this` matrix with the given `other` matrix.
`boolean`	`testAab(double minX, double minY, double minZ, double maxX, double maxY, double maxZ)` Test whether the given axis-aligned box is partly or completely within or outside of the frustum defined by `this` matrix.
`boolean`	`testPoint(double x, double y, double z)` Test whether the given point `(x, y, z)` is within the frustum defined by `this` matrix.
`boolean`	`testSphere(double x, double y, double z, double r)` Test whether the given sphere is partly or completely within or outside of the frustum defined by `this` matrix.
`String`	`toString()` Return a string representation of this matrix.
`String`	`toString(NumberFormat formatter)` Return a string representation of this matrix by formatting the matrix elements with the given `NumberFormat`.
`Vector4d`	`transform(double x, double y, double z, double w, Vector4d dest)` Transform/multiply the vector `(x, y, z, w)` by this matrix and store the result in `dest`.
`Vector4d`	`transform(Vector4d v)` Transform/multiply the given vector by this matrix and store the result in that vector.
`Vector4d`	`transform(Vector4dc v, Vector4d dest)` Transform/multiply the given vector by this matrix and store the result in `dest`.
`Matrix4d`	`transformAab(double minX, double minY, double minZ, double maxX, double maxY, double maxZ, Vector3d outMin, Vector3d outMax)` Transform the axis-aligned box given as the minimum corner `(minX, minY, minZ)` and maximum corner `(maxX, maxY, maxZ)` by `this` `affine` matrix and compute the axis-aligned box of the result whose minimum corner is stored in `outMin` and maximum corner stored in `outMax`.
`Matrix4d`	`transformAab(Vector3dc min, Vector3dc max, Vector3d outMin, Vector3d outMax)` Transform the axis-aligned box given as the minimum corner `min` and maximum corner `max` by `this` `affine` matrix and compute the axis-aligned box of the result whose minimum corner is stored in `outMin` and maximum corner stored in `outMax`.
`Vector4d`	`transformAffine(double x, double y, double z, double w, Vector4d dest)` Transform/multiply the 4D-vector `(x, y, z, w)` by assuming that `this` matrix represents an `affine` transformation (i.e.
`Vector4d`	`transformAffine(Vector4d dest)` Transform/multiply the given 4D-vector by assuming that `this` matrix represents an `affine` transformation (i.e.
`Vector4d`	`transformAffine(Vector4dc v, Vector4d dest)` Transform/multiply the given 4D-vector by assuming that `this` matrix represents an `affine` transformation (i.e.
`Vector3d`	`transformDirection(double x, double y, double z, Vector3d dest)` Transform/multiply the 3D-vector `(x, y, z)`, as if it was a 4D-vector with w=0, by this matrix and store the result in `dest`.
`Vector3f`	`transformDirection(double x, double y, double z, Vector3f dest)`
`Vector3d`	`transformDirection(Vector3d dest)` Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in that vector.
`Vector3d`	`transformDirection(Vector3dc v, Vector3d dest)` Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=0, by this matrix and store the result in `dest`.
`Vector3f`	`transformDirection(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 that vector.
`Vector3f`	`transformDirection(Vector3fc 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`.
`Vector3d`	`transformPosition(double x, double y, double z, Vector3d dest)` Transform/multiply the 3D-vector `(x, y, z)`, as if it was a 4D-vector with w=1, by this matrix and store the result in `dest`.
`Vector3d`	`transformPosition(Vector3d dest)` Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in that vector.
`Vector3d`	`transformPosition(Vector3dc v, Vector3d dest)` Transform/multiply the given 3D-vector, as if it was a 4D-vector with w=1, by this matrix and store the result in `dest`.
`Vector4d`	`transformProject(double x, double y, double z, double w, Vector4d dest)` Transform/multiply the vector `(x, y, z, w)` by this matrix, perform perspective divide and store the result in `dest`.
`Vector3d`	`transformProject(double x, double y, double z, Vector3d dest)` Transform/multiply the vector `(x, y, z)` by this matrix, perform perspective divide and store the result in `dest`.
`Vector3d`	`transformProject(Vector3d v)` Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.
`Vector3d`	`transformProject(Vector3dc v, Vector3d dest)` Transform/multiply the given vector by this matrix, perform perspective divide and store the result in `dest`.
`Vector4d`	`transformProject(Vector4d v)` Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.
`Vector4d`	`transformProject(Vector4dc v, Vector4d dest)` Transform/multiply the given vector by this matrix, perform perspective divide and store the result in `dest`.
`Matrix4d`	`translate(double x, double y, double z)` Apply a translation to this matrix by translating by the given number of units in x, y and z.
`Matrix4d`	`translate(double x, double y, double z, Matrix4d dest)` Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in `dest`.
`Matrix4d`	`translate(Vector3dc offset)` Apply a translation to this matrix by translating by the given number of units in x, y and z.
`Matrix4d`	`translate(Vector3dc offset, Matrix4d dest)` Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in `dest`.
`Matrix4d`	`translate(Vector3fc offset)` Apply a translation to this matrix by translating by the given number of units in x, y and z.
`Matrix4d`	`translate(Vector3fc offset, Matrix4d dest)` Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in `dest`.
`Matrix4d`	`translateLocal(double x, double y, double z)` Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.
`Matrix4d`	`translateLocal(double x, double y, double z, Matrix4d dest)` Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in `dest`.
`Matrix4d`	`translateLocal(Vector3dc offset)` Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.
`Matrix4d`	`translateLocal(Vector3dc offset, Matrix4d dest)` Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in `dest`.
`Matrix4d`	`translateLocal(Vector3fc offset)` Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.
`Matrix4d`	`translateLocal(Vector3fc offset, Matrix4d dest)` Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in `dest`.
`Matrix4d`	`translation(double x, double y, double z)` Set this matrix to be a simple translation matrix.
`Matrix4d`	`translation(Vector3dc offset)` Set this matrix to be a simple translation matrix.
`Matrix4d`	`translation(Vector3fc offset)` Set this matrix to be a simple translation matrix.
`Matrix4d`	`translationRotate(double tx, double ty, double tz, double qx, double qy, double qz, double qw)` Set `this` matrix to `T * R`, where `T` is a translation by the given `(tx, ty, tz)` and `R` is a rotation - and possibly scaling - transformation specified by the quaternion `(qx, qy, qz, qw)`.
`Matrix4d`	`translationRotate(double tx, double ty, double tz, Quaterniondc quat)` Set `this` matrix to `T * R`, where `T` is a translation by the given `(tx, ty, tz)` and `R` is a rotation - and possibly scaling - transformation specified by the given quaternion.
`Matrix4d`	`translationRotateScale(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double scale)` 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 all three axes by `scale`.
`Matrix4d`	`translationRotateScale(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double sx, double sy, double sz)` Set `this` matrix to `T * R * S`, where `T` is a translation by the given `(tx, ty, tz)`, `R` is a rotation transformation specified by the quaternion `(qx, qy, qz, qw)`, and `S` is a scaling transformation which scales the three axes x, y and z by `(sx, sy, sz)`.
`Matrix4d`	`translationRotateScale(Vector3dc translation, Quaterniondc quat, double 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 all three axes by `scale`.
`Matrix4d`	`translationRotateScale(Vector3dc translation, Quaterniondc quat, Vector3dc scale)` Set `this` matrix to `T * R * S`, where `T` is the given `translation`, `R` is a rotation transformation specified by the given quaternion, and `S` is a scaling transformation which scales the axes by `scale`.
`Matrix4d`	`translationRotateScale(Vector3fc translation, Quaternionfc quat, double 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 all three axes by `scale`.
`Matrix4d`	`translationRotateScale(Vector3fc translation, Quaternionfc quat, Vector3fc scale)` Set `this` matrix to `T * R * S`, where `T` is the given `translation`, `R` is a rotation transformation specified by the given quaternion, and `S` is a scaling transformation which scales the axes by `scale`.
`Matrix4d`	`translationRotateScaleInvert(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double sx, double sy, double sz)` Set `this` matrix to `(T * R * S)^-1`, 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)`.
`Matrix4d`	`translationRotateScaleInvert(Vector3dc translation, Quaterniondc quat, double scale)` Set `this` matrix to `(T * R * S)^-1`, where `T` is the given `translation`, `R` is a rotation transformation specified by the given quaternion, and `S` is a scaling transformation which scales all three axes by `scale`.
`Matrix4d`	`translationRotateScaleInvert(Vector3dc translation, Quaterniondc quat, Vector3dc scale)` Set `this` matrix to `(T * R * S)^-1`, 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`.
`Matrix4d`	`translationRotateScaleInvert(Vector3fc translation, Quaternionfc quat, double scale)` Set `this` matrix to `(T * R * S)^-1`, where `T` is the given `translation`, `R` is a rotation transformation specified by the given quaternion, and `S` is a scaling transformation which scales all three axes by `scale`.
`Matrix4d`	`translationRotateScaleInvert(Vector3fc translation, Quaternionfc quat, Vector3fc scale)` Set `this` matrix to `(T * R * S)^-1`, 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`.
`Matrix4d`	`translationRotateScaleMulAffine(double tx, double ty, double tz, double qx, double qy, double qz, double qw, double sx, double sy, double sz, Matrix4d m)` Set `this` matrix to `T * R * S * M`, where `T` is a translation by the given `(tx, ty, tz)`, `R` is a rotation - and possibly scaling - transformation specified by the quaternion `(qx, qy, qz, qw)`, `S` is a scaling transformation which scales the three axes x, y and z by `(sx, sy, sz)` and `M` is an `affine` matrix.
`Matrix4d`	`translationRotateScaleMulAffine(Vector3fc translation, Quaterniondc quat, Vector3fc scale, Matrix4d m)` Set `this` matrix to `T * R * S * M`, where `T` is the given `translation`, `R` is a rotation - and possibly scaling - transformation specified by the given quaternion, `S` is a scaling transformation which scales the axes by `scale` and `M` is an `affine` matrix.
`Matrix4d`	`translationRotateTowards(double posX, double posY, double posZ, double dirX, double dirY, double dirZ, double upX, double upY, double upZ)` Set this matrix to a model transformation for a right-handed coordinate system, that translates to the given `(posX, posY, posZ)` and aligns the local `-z` axis with `(dirX, dirY, dirZ)`.
`Matrix4d`	`translationRotateTowards(Vector3dc pos, Vector3dc dir, Vector3dc up)` Set this matrix to a model transformation for a right-handed coordinate system, that translates to the given `pos` and aligns the local `-z` axis with `dir`.
`Matrix4d`	`transpose()` Transpose this matrix.
`Matrix4d`	`transpose(Matrix4d dest)` Transpose `this` matrix and store the result into `dest`.
`Matrix4d`	`transpose3x3()` Transpose only the upper left 3x3 submatrix of this matrix.
`Matrix3d`	`transpose3x3(Matrix3d dest)` Transpose only the upper left 3x3 submatrix of this matrix and store the result in `dest`.
`Matrix4d`	`transpose3x3(Matrix4d dest)` Transpose only the upper left 3x3 submatrix of this matrix and store the result in `dest`.
`Matrix4d`	`trapezoidCrop(double p0x, double p0y, double p1x, double p1y, double p2x, double p2y, double p3x, double p3y)` Set `this` matrix to a perspective transformation that maps the trapezoid spanned by the four corner coordinates `(p0x, p0y)`, `(p1x, p1y)`, `(p2x, p2y)` and `(p3x, p3y)` to the unit square `[(-1, -1)..(+1, +1)]`.
`Vector3d`	`unproject(double winX, double winY, double winZ, int[] viewport, Vector3d dest)` Unproject the given window coordinates `(winX, winY, winZ)` by `this` matrix using the specified viewport.
`Vector4d`	`unproject(double winX, double winY, double winZ, int[] viewport, Vector4d dest)` Unproject the given window coordinates `(winX, winY, winZ)` by `this` matrix using the specified viewport.
`Vector3d`	`unproject(Vector3dc winCoords, int[] viewport, Vector3d dest)` Unproject the given window coordinates `winCoords` by `this` matrix using the specified viewport.
`Vector4d`	`unproject(Vector3dc winCoords, int[] viewport, Vector4d dest)` Unproject the given window coordinates `winCoords` by `this` matrix using the specified viewport.
`Vector3d`	`unprojectInv(double winX, double winY, double winZ, int[] viewport, Vector3d dest)` Unproject the given window coordinates `(winX, winY, winZ)` by `this` matrix using the specified viewport.
`Vector4d`	`unprojectInv(double winX, double winY, double winZ, int[] viewport, Vector4d dest)` Unproject the given window coordinates `(winX, winY, winZ)` by `this` matrix using the specified viewport.
`Vector3d`	`unprojectInv(Vector3dc winCoords, int[] viewport, Vector3d dest)` Unproject the given window coordinates `winCoords` by `this` matrix using the specified viewport.
`Vector4d`	`unprojectInv(Vector3dc winCoords, int[] viewport, Vector4d dest)` Unproject the given window coordinates `winCoords` by `this` matrix using the specified viewport.
`Matrix4d`	`unprojectInvRay(double winX, double winY, int[] viewport, Vector3d originDest, Vector3d dirDest)` Unproject the given 2D window coordinates `(winX, winY)` by `this` matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC `z = -1.0` and goes through NDC `z = +1.0`.
`Matrix4d`	`unprojectInvRay(Vector2dc winCoords, int[] viewport, Vector3d originDest, Vector3d dirDest)` Unproject the given window coordinates `winCoords` by `this` matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC `z = -1.0` and goes through NDC `z = +1.0`.
`Matrix4d`	`unprojectRay(double winX, double winY, int[] viewport, Vector3d originDest, Vector3d dirDest)` Unproject the given 2D window coordinates `(winX, winY)` by `this` matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC `z = -1.0` and goes through NDC `z = +1.0`.
`Matrix4d`	`unprojectRay(Vector2dc winCoords, int[] viewport, Vector3d originDest, Vector3d dirDest)` Unproject the given 2D window coordinates `winCoords` by `this` matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC `z = -1.0` and goes through NDC `z = +1.0`.
`Matrix4d`	`withLookAtUp(double upX, double upY, double upZ)` Apply a transformation to this matrix to ensure that the local Y axis (as obtained by `positiveY(Vector3d)`) will be coplanar to the plane spanned by the local Z axis (as obtained by `positiveZ(Vector3d)`) and the given vector `(upX, upY, upZ)`.
`Matrix4d`	`withLookAtUp(double upX, double upY, double upZ, Matrix4d dest)` Apply a transformation to this matrix to ensure that the local Y axis (as obtained by `Matrix4dc.positiveY(Vector3d)`) will be coplanar to the plane spanned by the local Z axis (as obtained by `Matrix4dc.positiveZ(Vector3d)`) and the given vector `(upX, upY, upZ)`, and store the result in `dest`.
`Matrix4d`	`withLookAtUp(Vector3dc up)` Apply a transformation to this matrix to ensure that the local Y axis (as obtained by `positiveY(Vector3d)`) will be coplanar to the plane spanned by the local Z axis (as obtained by `positiveZ(Vector3d)`) and the given vector `up`.
`Matrix4d`	`withLookAtUp(Vector3dc up, Matrix4d dest)` Apply a transformation to this matrix to ensure that the local Y axis (as obtained by `Matrix4dc.positiveY(Vector3d)`) will be coplanar to the plane spanned by the local Z axis (as obtained by `Matrix4dc.positiveZ(Vector3d)`) and the given vector `up`, and store the result in `dest`.
`void`	`writeExternal(ObjectOutput out)`
`Matrix4d`	`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

- Constructor Detail
  - Matrix4d
```
public Matrix4d()
```
    Create a new Matrix4d and set it to identity.
  - Matrix4d
```
public Matrix4d(Matrix4dc mat)
```
    Create a new Matrix4d and make it a copy of the given matrix.
    
    Parameters:
    
    mat - the Matrix4dc to copy the values from
  - Matrix4d
```
public Matrix4d(Matrix4fc mat)
```
    Create a new Matrix4d and make it a copy of the given matrix.
    
    Parameters:
    
    mat - the Matrix4fc to copy the values from
  - Matrix4d
```
public Matrix4d(Matrix4x3dc mat)
```
    Create a new Matrix4d and set its upper 4x3 submatrix to the given matrix mat and all other elements to identity.
    
    Parameters:
    
    mat - the Matrix4x3dc to copy the values from
  - Matrix4d
```
public Matrix4d(Matrix4x3fc mat)
```
    Create a new Matrix4d and set its upper 4x3 submatrix to the given matrix mat and all other elements to identity.
    
    Parameters:
    
    mat - the Matrix4x3fc to copy the values from
  - Matrix4d
```
public Matrix4d(Matrix3dc mat)
```
    Create a new Matrix4d by setting its uppper left 3x3 submatrix to the values of the given Matrix3dc and the rest to identity.
    
    Parameters:
    
    mat - the Matrix3dc
  - Matrix4d
```
public Matrix4d(double m00,
                double m01,
                double m02,
                double m03,
                double m10,
                double m11,
                double m12,
                double m13,
                double m20,
                double m21,
                double m22,
                double m23,
                double m30,
                double m31,
                double m32,
                double m33)
```
    Create a new 4x4 matrix using the supplied double values.
    The matrix layout will be:
    
    m00, m10, m20, m30
    m01, m11, m21, m31
    m02, m12, m22, m32
    m03, m13, m23, m33
    
    Parameters:
    
    m00 - the value of 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
  - Matrix4d
```
public Matrix4d(DoubleBuffer buffer)
```
    Create a new Matrix4d by reading its 16 double components from the given DoubleBuffer at the buffer's current position.
    That DoubleBuffer is expected to hold the values in column-major order.
    The buffer's position will not be changed by this method.
    
    Parameters:
    
    buffer - the DoubleBuffer to read the matrix values from
  - Matrix4d
```
public Matrix4d(Vector4d col0,
                Vector4d col1,
                Vector4d col2,
                Vector4d col3)
```
    Create a new Matrix4d and initialize its four columns using the supplied vectors.
    
    Parameters:
    
    col0 - the first column
    
    col1 - the second column
    
    col2 - the third column
    
    col3 - the fourth column
- Method Detail
  - assume
```
public Matrix4d assume(int properties)
```
    Assume the given properties about this matrix.
    Use one or multiple of 0, Matrix4dc.PROPERTY_IDENTITY, Matrix4dc.PROPERTY_TRANSLATION, Matrix4dc.PROPERTY_AFFINE, Matrix4dc.PROPERTY_PERSPECTIVE, Matrix4fc.PROPERTY_ORTHONORMAL.
    
    Parameters:
    
    properties - bitset of the properties to assume about this matrix
    
    Returns:
    
    this
  - determineProperties
```
public Matrix4d determineProperties()
```
    Compute and set the matrix properties returned by properties() based on the current matrix element values.
    
    Returns:
    
    this
  - properties
```
public int properties()
```
    Description copied from interface: Matrix4dc
    
    Return the assumed properties of this matrix. This is a bit-combination of Matrix4dc.PROPERTY_IDENTITY, Matrix4dc.PROPERTY_AFFINE, Matrix4dc.PROPERTY_TRANSLATION and Matrix4dc.PROPERTY_PERSPECTIVE.
    
    Specified by:
    
    properties in interface Matrix4dc
    
    Returns:
    
    the properties of the matrix
  - m00
```
public double m00()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 0 and row 0.
    
    Specified by:
    
    m00 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m01
```
public double m01()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 0 and row 1.
    
    Specified by:
    
    m01 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m02
```
public double m02()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 0 and row 2.
    
    Specified by:
    
    m02 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m03
```
public double m03()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 0 and row 3.
    
    Specified by:
    
    m03 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m10
```
public double m10()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 1 and row 0.
    
    Specified by:
    
    m10 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m11
```
public double m11()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 1 and row 1.
    
    Specified by:
    
    m11 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m12
```
public double m12()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 1 and row 2.
    
    Specified by:
    
    m12 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m13
```
public double m13()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 1 and row 3.
    
    Specified by:
    
    m13 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m20
```
public double m20()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 2 and row 0.
    
    Specified by:
    
    m20 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m21
```
public double m21()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 2 and row 1.
    
    Specified by:
    
    m21 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m22
```
public double m22()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 2 and row 2.
    
    Specified by:
    
    m22 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m23
```
public double m23()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 2 and row 3.
    
    Specified by:
    
    m23 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m30
```
public double m30()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 3 and row 0.
    
    Specified by:
    
    m30 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m31
```
public double m31()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 3 and row 1.
    
    Specified by:
    
    m31 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m32
```
public double m32()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 3 and row 2.
    
    Specified by:
    
    m32 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m33
```
public double m33()
```
    Description copied from interface: Matrix4dc
    
    Return the value of the matrix element at column 3 and row 3.
    
    Specified by:
    
    m33 in interface Matrix4dc
    
    Returns:
    
    the value of the matrix element
  - m00
```
public Matrix4d m00(double m00)
```
    Set the value of the matrix element at column 0 and row 0.
    
    Parameters:
    
    m00 - the new value
    
    Returns:
    
    this
  - m01
```
public Matrix4d m01(double m01)
```
    Set the value of the matrix element at column 0 and row 1.
    
    Parameters:
    
    m01 - the new value
    
    Returns:
    
    this
  - m02
```
public Matrix4d m02(double m02)
```
    Set the value of the matrix element at column 0 and row 2.
    
    Parameters:
    
    m02 - the new value
    
    Returns:
    
    this
  - m03
```
public Matrix4d m03(double m03)
```
    Set the value of the matrix element at column 0 and row 3.
    
    Parameters:
    
    m03 - the new value
    
    Returns:
    
    this
  - m10
```
public Matrix4d m10(double m10)
```
    Set the value of the matrix element at column 1 and row 0.
    
    Parameters:
    
    m10 - the new value
    
    Returns:
    
    this
  - m11
```
public Matrix4d m11(double m11)
```
    Set the value of the matrix element at column 1 and row 1.
    
    Parameters:
    
    m11 - the new value
    
    Returns:
    
    this
  - m12
```
public Matrix4d m12(double m12)
```
    Set the value of the matrix element at column 1 and row 2.
    
    Parameters:
    
    m12 - the new value
    
    Returns:
    
    this
  - m13
```
public Matrix4d m13(double m13)
```
    Set the value of the matrix element at column 1 and row 3.
    
    Parameters:
    
    m13 - the new value
    
    Returns:
    
    this
  - m20
```
public Matrix4d m20(double m20)
```
    Set the value of the matrix element at column 2 and row 0.
    
    Parameters:
    
    m20 - the new value
    
    Returns:
    
    this
  - m21
```
public Matrix4d m21(double m21)
```
    Set the value of the matrix element at column 2 and row 1.
    
    Parameters:
    
    m21 - the new value
    
    Returns:
    
    this
  - m22
```
public Matrix4d m22(double m22)
```
    Set the value of the matrix element at column 2 and row 2.
    
    Parameters:
    
    m22 - the new value
    
    Returns:
    
    this
  - m23
```
public Matrix4d m23(double m23)
```
    Set the value of the matrix element at column 2 and row 3.
    
    Parameters:
    
    m23 - the new value
    
    Returns:
    
    this
  - m30
```
public Matrix4d m30(double m30)
```
    Set the value of the matrix element at column 3 and row 0.
    
    Parameters:
    
    m30 - the new value
    
    Returns:
    
    this
  - m31
```
public Matrix4d m31(double m31)
```
    Set the value of the matrix element at column 3 and row 1.
    
    Parameters:
    
    m31 - the new value
    
    Returns:
    
    this
  - m32
```
public Matrix4d m32(double m32)
```
    Set the value of the matrix element at column 3 and row 2.
    
    Parameters:
    
    m32 - the new value
    
    Returns:
    
    this
  - m33
```
public Matrix4d m33(double m33)
```
    Set the value of the matrix element at column 3 and row 3.
    
    Parameters:
    
    m33 - the new value
    
    Returns:
    
    this
  - _m00
```
public Matrix4d _m00(double m00)
```
    Set the value of the matrix element at column 0 and row 0 without updating the properties of the matrix.
    
    Parameters:
    
    m00 - the new value
    
    Returns:
    
    this
  - _m01
```
public Matrix4d _m01(double m01)
```
    Set the value of the matrix element at column 0 and row 1 without updating the properties of the matrix.
    
    Parameters:
    
    m01 - the new value
    
    Returns:
    
    this
  - _m02
```
public Matrix4d _m02(double m02)
```
    Set the value of the matrix element at column 0 and row 2 without updating the properties of the matrix.
    
    Parameters:
    
    m02 - the new value
    
    Returns:
    
    this
  - _m03
```
public Matrix4d _m03(double m03)
```
    Set the value of the matrix element at column 0 and row 3 without updating the properties of the matrix.
    
    Parameters:
    
    m03 - the new value
    
    Returns:
    
    this
  - _m10
```
public Matrix4d _m10(double m10)
```
    Set the value of the matrix element at column 1 and row 0 without updating the properties of the matrix.
    
    Parameters:
    
    m10 - the new value
    
    Returns:
    
    this
  - _m11
```
public Matrix4d _m11(double m11)
```
    Set the value of the matrix element at column 1 and row 1 without updating the properties of the matrix.
    
    Parameters:
    
    m11 - the new value
    
    Returns:
    
    this
  - _m12
```
public Matrix4d _m12(double m12)
```
    Set the value of the matrix element at column 1 and row 2 without updating the properties of the matrix.
    
    Parameters:
    
    m12 - the new value
    
    Returns:
    
    this
  - _m13
```
public Matrix4d _m13(double m13)
```
    Set the value of the matrix element at column 1 and row 3 without updating the properties of the matrix.
    
    Parameters:
    
    m13 - the new value
    
    Returns:
    
    this
  - _m20
```
public Matrix4d _m20(double m20)
```
    Set the value of the matrix element at column 2 and row 0 without updating the properties of the matrix.
    
    Parameters:
    
    m20 - the new value
    
    Returns:
    
    this
  - _m21
```
public Matrix4d _m21(double m21)
```
    Set the value of the matrix element at column 2 and row 1 without updating the properties of the matrix.
    
    Parameters:
    
    m21 - the new value
    
    Returns:
    
    this
  - _m22
```
public Matrix4d _m22(double m22)
```
    Set the value of the matrix element at column 2 and row 2 without updating the properties of the matrix.
    
    Parameters:
    
    m22 - the new value
    
    Returns:
    
    this
  - _m23
```
public Matrix4d _m23(double m23)
```
    Set the value of the matrix element at column 2 and row 3 without updating the properties of the matrix.
    
    Parameters:
    
    m23 - the new value
    
    Returns:
    
    this
  - _m30
```
public Matrix4d _m30(double m30)
```
    Set the value of the matrix element at column 3 and row 0 without updating the properties of the matrix.
    
    Parameters:
    
    m30 - the new value
    
    Returns:
    
    this
  - _m31
```
public Matrix4d _m31(double m31)
```
    Set the value of the matrix element at column 3 and row 1 without updating the properties of the matrix.
    
    Parameters:
    
    m31 - the new value
    
    Returns:
    
    this
  - _m32
```
public Matrix4d _m32(double m32)
```
    Set the value of the matrix element at column 3 and row 2 without updating the properties of the matrix.
    
    Parameters:
    
    m32 - the new value
    
    Returns:
    
    this
  - _m33
```
public Matrix4d _m33(double m33)
```
    Set the value of the matrix element at column 3 and row 3 without updating the properties of the matrix.
    
    Parameters:
    
    m33 - the new value
    
    Returns:
    
    this
  - identity
```
public Matrix4d identity()
```
    Reset this matrix to the identity.
    Please note that if a call to identity() is immediately followed by a call to: translate, rotate, scale, perspective, frustum, ortho, ortho2D, lookAt, lookAlong, or any of their overloads, then the call 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 Matrix4d set(Matrix4dc 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:
    
    Matrix4d(Matrix4dc), get(Matrix4d)
  - set
```
public Matrix4d set(Matrix4fc 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:
    
    Matrix4d(Matrix4fc)
  - set
```
public Matrix4d set(Matrix4x3dc m)
```
    Store the values of the given matrix m into this matrix and set the other matrix elements to identity.
    
    Parameters:
    
    m - the matrix to copy the values from
    
    Returns:
    
    this
    
    See Also:
    
    Matrix4d(Matrix4x3dc)
  - set
```
public Matrix4d set(Matrix4x3fc m)
```
    Store the values of the given matrix m into this matrix and set the other matrix elements to identity.
    
    Parameters:
    
    m - the matrix to copy the values from
    
    Returns:
    
    this
    
    See Also:
    
    Matrix4d(Matrix4x3fc)
  - set
```
public Matrix4d set(Matrix3dc mat)
```
    Set the upper left 3x3 submatrix of this Matrix4d to the given Matrix3dc and the rest to identity.
    
    Parameters:
    
    mat - the Matrix3dc
    
    Returns:
    
    this
    
    See Also:
    
    Matrix4d(Matrix3dc)
  - set3x3
```
public Matrix4d set3x3(Matrix4dc mat)
```
    Set the upper left 3x3 submatrix of this Matrix4d to that of the given Matrix4dc and don't change the other elements.
    
    Parameters:
    
    mat - the Matrix4dc
    
    Returns:
    
    this
  - set4x3
```
public Matrix4d set4x3(Matrix4x3dc mat)
```
    Set the upper 4x3 submatrix of this Matrix4d to the given Matrix4x3dc and don't change the other elements.
    
    Parameters:
    
    mat - the Matrix4x3dc
    
    Returns:
    
    this
    
    See Also:
    
    Matrix4x3dc.get(Matrix4d)
  - set4x3
```
public Matrix4d set4x3(Matrix4x3fc mat)
```
    Set the upper 4x3 submatrix of this Matrix4d to the given Matrix4x3fc and don't change the other elements.
    
    Parameters:
    
    mat - the Matrix4x3fc
    
    Returns:
    
    this
    
    See Also:
    
    Matrix4x3fc.get(Matrix4d)
  - set4x3
```
public Matrix4d set4x3(Matrix4dc mat)
```
    Set the upper 4x3 submatrix of this Matrix4d to the upper 4x3 submatrix of the given Matrix4dc and don't change the other elements.
    
    Parameters:
    
    mat - the Matrix4dc
    
    Returns:
    
    this
  - set
```
public Matrix4d 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 Matrix4d 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 Matrix4d set(Quaternionfc q)
```
    Set this matrix to be equivalent to the rotation - and possibly scaling - specified by the given Quaternionfc.
    This method is equivalent to calling: rotation(q)
    Reference: http://www.euclideanspace.com/
    
    Parameters:
    
    q - the Quaternionfc
    
    Returns:
    
    this
    
    See Also:
    
    rotation(Quaternionfc)
  - set
```
public Matrix4d set(Quaterniondc q)
```
    Set this matrix to be equivalent to the rotation - and possibly scaling - specified by the given Quaterniondc.
    This method is equivalent to calling: rotation(q)
    Reference: http://www.euclideanspace.com/
    
    Parameters:
    
    q - the Quaterniondc
    
    Returns:
    
    this
    
    See Also:
    
    rotation(Quaterniondc)
  - mul
```
public Matrix4d mul(Matrix4dc right)
```
    Multiply this matrix by the supplied right matrix.
    If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Parameters:
    
    right - the right operand of the multiplication
    
    Returns:
    
    this
  - mul
```
public Matrix4d mul(Matrix4dc right,
                    Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Multiply this matrix by the supplied right matrix and store the result in dest.
    If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Specified by:
    
    mul in interface Matrix4dc
    
    Parameters:
    
    right - the right operand of the multiplication
    
    dest - will hold the result
    
    Returns:
    
    dest
  - mulLocal
```
public Matrix4d mulLocal(Matrix4dc left)
```
    Pre-multiply this matrix by the supplied left matrix and store the result in this.
    If M is this matrix and L the left matrix, then the new matrix will be L * M. So when transforming a vector v with the new matrix by using L * M * v, the transformation of this matrix will be applied first!
    
    Parameters:
    
    left - the left operand of the matrix multiplication
    
    Returns:
    
    this
  - mulLocal
```
public Matrix4d mulLocal(Matrix4dc left,
                         Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Pre-multiply this matrix by the supplied left matrix and store the result in dest.
    If M is this matrix and L the left matrix, then the new matrix will be L * M. So when transforming a vector v with the new matrix by using L * M * v, the transformation of this matrix will be applied first!
    
    Specified by:
    
    mulLocal in interface Matrix4dc
    
    Parameters:
    
    left - the left operand of the matrix multiplication
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - mulLocalAffine
```
public Matrix4d mulLocalAffine(Matrix4dc left)
```
    Pre-multiply this matrix by the supplied left matrix, both of which are assumed to be affine, and store the result in this.
    This method assumes that this matrix and the given left 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 left.
    If M is this matrix and L the left matrix, then the new matrix will be L * M. So when transforming a vector v with the new matrix by using L * M * v, the transformation of this matrix will be applied first!
    
    Parameters:
    
    left - the left operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))
    
    Returns:
    
    this
  - mulLocalAffine
```
public Matrix4d mulLocalAffine(Matrix4dc left,
                               Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Pre-multiply this matrix by the supplied left matrix, both of which are assumed to be affine, and store the result in dest.
    This method assumes that this matrix and the given left 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 left.
    If M is this matrix and L the left matrix, then the new matrix will be L * M. So when transforming a vector v with the new matrix by using L * M * v, the transformation of this matrix will be applied first!
    
    Specified by:
    
    mulLocalAffine in interface Matrix4dc
    
    Parameters:
    
    left - the left operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - mul
```
public Matrix4d mul(Matrix4x3dc right)
```
  - mul
```
public Matrix4d mul(Matrix4x3dc right,
                    Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Multiply this matrix by the supplied right matrix and store the result in dest.
    The last row of the right matrix is assumed to be (0, 0, 0, 1).
    If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Specified by:
    
    mul in interface Matrix4dc
    
    Parameters:
    
    right - the right operand of the matrix multiplication
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - mul
```
public Matrix4d mul(Matrix4x3fc right,
                    Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Multiply this matrix by the supplied right matrix and store the result in dest.
    The last row of the right matrix is assumed to be (0, 0, 0, 1).
    If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Specified by:
    
    mul in interface Matrix4dc
    
    Parameters:
    
    right - the right operand of the matrix multiplication
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - mul
```
public Matrix4d mul(Matrix3x2dc 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 Matrix4d mul(Matrix3x2dc right,
                    Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Multiply this matrix by the supplied right matrix and store the result in dest.
    If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Specified by:
    
    mul in interface Matrix4dc
    
    Parameters:
    
    right - the right operand of the matrix multiplication
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - mul
```
public Matrix4d mul(Matrix3x2fc 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 Matrix4d mul(Matrix3x2fc right,
                    Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Multiply this matrix by the supplied right matrix and store the result in dest.
    If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Specified by:
    
    mul in interface Matrix4dc
    
    Parameters:
    
    right - the right operand of the matrix multiplication
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - mul
```
public Matrix4d mul(Matrix4f right)
```
    Multiply this matrix by the supplied parameter matrix.
    If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Parameters:
    
    right - the right operand of the multiplication
    
    Returns:
    
    this
  - mul
```
public Matrix4d mul(Matrix4fc right,
                    Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Multiply this matrix by the supplied parameter matrix and store the result in dest.
    If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Specified by:
    
    mul in interface Matrix4dc
    
    Parameters:
    
    right - the right operand of the multiplication
    
    dest - will hold the result
    
    Returns:
    
    dest
  - mulPerspectiveAffine
```
public Matrix4d mulPerspectiveAffine(Matrix4dc view)
```
    Multiply this symmetric perspective projection matrix by the supplied affine view matrix.
    If P is this matrix and V the view matrix, then the new matrix will be P * V. So when transforming a vector v with the new matrix by using P * V * v, the transformation of the view matrix will be applied first!
    
    Parameters:
    
    view - the affine matrix to multiply this symmetric perspective projection matrix by
    
    Returns:
    
    this
  - mulPerspectiveAffine
```
public Matrix4d mulPerspectiveAffine(Matrix4dc view,
                                     Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Multiply this symmetric perspective projection matrix by the supplied affine view matrix and store the result in dest.
    If P is this matrix and V the view matrix, then the new matrix will be P * V. So when transforming a vector v with the new matrix by using P * V * v, the transformation of the view matrix will be applied first!
    
    Specified by:
    
    mulPerspectiveAffine in interface Matrix4dc
    
    Parameters:
    
    view - the affine matrix to multiply this symmetric perspective projection matrix by
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - mulAffineR
```
public Matrix4d mulAffineR(Matrix4dc right)
```
    Multiply this matrix by the supplied right matrix, which is assumed to be affine, 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
  - mulAffineR
```
public Matrix4d mulAffineR(Matrix4dc right,
                           Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Multiply this matrix by the supplied right matrix, which is assumed to be affine, 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!
    
    Specified by:
    
    mulAffineR in interface Matrix4dc
    
    Parameters:
    
    right - the right operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - mulAffine
```
public Matrix4d mulAffine(Matrix4dc right)
```
    Multiply this matrix by the supplied right matrix, both of which are assumed to be affine, 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
  - mulAffine
```
public Matrix4d mulAffine(Matrix4dc right,
                          Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Multiply this matrix by the supplied right matrix, both of which are assumed to be affine, 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!
    
    Specified by:
    
    mulAffine in interface Matrix4dc
    
    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
  - mulTranslationAffine
```
public Matrix4d mulTranslationAffine(Matrix4dc right,
                                     Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Multiply this matrix, which is assumed to only contain a translation, by the supplied right matrix, which is assumed to be affine, and store the result in dest.
    This method assumes that this matrix only contains a translation, and that the given right matrix represents an affine transformation (i.e. its last row is equal to (0, 0, 0, 1)).
    This method will not modify either the last row of this or the last row of right.
    If M is this matrix and R the right matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the transformation of the right matrix will be applied first!
    
    Specified by:
    
    mulTranslationAffine in interface Matrix4dc
    
    Parameters:
    
    right - the right operand of the matrix multiplication (the last row is assumed to be (0, 0, 0, 1))
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - mulOrthoAffine
```
public Matrix4d mulOrthoAffine(Matrix4dc view)
```
    Multiply this orthographic projection matrix by the supplied affine view matrix.
    If M is this matrix and V the view matrix, then the new matrix will be M * V. So when transforming a vector v with the new matrix by using M * V * v, the transformation of the view matrix will be applied first!
    
    Parameters:
    
    view - the affine matrix which to multiply this with
    
    Returns:
    
    this
  - mulOrthoAffine
```
public Matrix4d mulOrthoAffine(Matrix4dc view,
                               Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Multiply this orthographic projection matrix by the supplied affine view matrix and store the result in dest.
    If M is this matrix and V the view matrix, then the new matrix will be M * V. So when transforming a vector v with the new matrix by using M * V * v, the transformation of the view matrix will be applied first!
    
    Specified by:
    
    mulOrthoAffine in interface Matrix4dc
    
    Parameters:
    
    view - the affine matrix which to multiply this with
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - fma4x3
```
public Matrix4d fma4x3(Matrix4dc other,
                       double 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 Matrix4d fma4x3(Matrix4dc other,
                       double otherFactor,
                       Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    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.
    
    Specified by:
    
    fma4x3 in interface Matrix4dc
    
    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 Matrix4d add(Matrix4dc other)
```
    Component-wise add this and other.
    
    Parameters:
    
    other - the other addend
    
    Returns:
    
    this
  - add
```
public Matrix4d add(Matrix4dc other,
                    Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Component-wise add this and other and store the result in dest.
    
    Specified by:
    
    add in interface Matrix4dc
    
    Parameters:
    
    other - the other addend
    
    dest - will hold the result
    
    Returns:
    
    dest
  - sub
```
public Matrix4d sub(Matrix4dc subtrahend)
```
    Component-wise subtract subtrahend from this.
    
    Parameters:
    
    subtrahend - the subtrahend
    
    Returns:
    
    this
  - sub
```
public Matrix4d sub(Matrix4dc subtrahend,
                    Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Component-wise subtract subtrahend from this and store the result in dest.
    
    Specified by:
    
    sub in interface Matrix4dc
    
    Parameters:
    
    subtrahend - the subtrahend
    
    dest - will hold the result
    
    Returns:
    
    dest
  - mulComponentWise
```
public Matrix4d mulComponentWise(Matrix4dc other)
```
    Component-wise multiply this by other.
    
    Parameters:
    
    other - the other matrix
    
    Returns:
    
    this
  - mulComponentWise
```
public Matrix4d mulComponentWise(Matrix4dc other,
                                 Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Component-wise multiply this by other and store the result in dest.
    
    Specified by:
    
    mulComponentWise in interface Matrix4dc
    
    Parameters:
    
    other - the other matrix
    
    dest - will hold the result
    
    Returns:
    
    dest
  - add4x3
```
public Matrix4d add4x3(Matrix4dc other)
```
    Component-wise add the upper 4x3 submatrices of this and other.
    
    Parameters:
    
    other - the other addend
    
    Returns:
    
    this
  - add4x3
```
public Matrix4d add4x3(Matrix4dc other,
                       Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    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.
    
    Specified by:
    
    add4x3 in interface Matrix4dc
    
    Parameters:
    
    other - the other addend
    
    dest - will hold the result
    
    Returns:
    
    dest
  - add4x3
```
public Matrix4d add4x3(Matrix4fc other)
```
    Component-wise add the upper 4x3 submatrices of this and other.
    
    Parameters:
    
    other - the other addend
    
    Returns:
    
    this
  - add4x3
```
public Matrix4d add4x3(Matrix4fc other,
                       Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    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.
    
    Specified by:
    
    add4x3 in interface Matrix4dc
    
    Parameters:
    
    other - the other addend
    
    dest - will hold the result
    
    Returns:
    
    dest
  - sub4x3
```
public Matrix4d sub4x3(Matrix4dc subtrahend)
```
    Component-wise subtract the upper 4x3 submatrices of subtrahend from this.
    
    Parameters:
    
    subtrahend - the subtrahend
    
    Returns:
    
    this
  - sub4x3
```
public Matrix4d sub4x3(Matrix4dc subtrahend,
                       Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    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.
    
    Specified by:
    
    sub4x3 in interface Matrix4dc
    
    Parameters:
    
    subtrahend - the subtrahend
    
    dest - will hold the result
    
    Returns:
    
    dest
  - mul4x3ComponentWise
```
public Matrix4d mul4x3ComponentWise(Matrix4dc other)
```
    Component-wise multiply the upper 4x3 submatrices of this by other.
    
    Parameters:
    
    other - the other matrix
    
    Returns:
    
    this
  - mul4x3ComponentWise
```
public Matrix4d mul4x3ComponentWise(Matrix4dc other,
                                    Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    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.
    
    Specified by:
    
    mul4x3ComponentWise in interface Matrix4dc
    
    Parameters:
    
    other - the other matrix
    
    dest - will hold the result
    
    Returns:
    
    dest
  - set
```
public Matrix4d set(double m00,
                    double m01,
                    double m02,
                    double m03,
                    double m10,
                    double m11,
                    double m12,
                    double m13,
                    double m20,
                    double m21,
                    double m22,
                    double m23,
                    double m30,
                    double m31,
                    double m32,
                    double m33)
```
    Set the values within this matrix to the supplied double values. The matrix will look like this:
    
    m00, m10, m20, m30
    m01, m11, m21, m31
    m02, m12, m22, m32
    m03, m13, m23, m33
    
    Parameters:
    
    m00 - the new value of 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 Matrix4d set(double[] m,
                    int off)
```
    Set the values in the matrix using a double array that contains the matrix elements in column-major order.
    The results will look like this:
    
    0, 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(double[])
  - set
```
public Matrix4d set(double[] m)
```
    Set the values in the matrix using a double array that contains the matrix elements in column-major order.
    The results will look like this:
    
    0, 4, 8, 12
    1, 5, 9, 13
    2, 6, 10, 14
    3, 7, 11, 15
    
    Parameters:
    
    m - the array to read the matrix values from
    
    Returns:
    
    this
    
    See Also:
    
    set(double[], int)
  - set
```
public Matrix4d set(float[] m,
                    int off)
```
    Set the values in the matrix using a float array that contains the matrix elements in 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 Matrix4d 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 Matrix4d set(DoubleBuffer buffer)
```
    Set the values of this matrix by reading 16 double values from the given DoubleBuffer in column-major order, starting at its current position.
    The DoubleBuffer is expected to contain the values in column-major order.
    The position of the DoubleBuffer will not be changed by this method.
    
    Parameters:
    
    buffer - the DoubleBuffer to read the matrix values from in column-major order
    
    Returns:
    
    this
  - set
```
public Matrix4d 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 Matrix4d set(ByteBuffer buffer)
```
    Set the values of this matrix by reading 16 double values from the given ByteBuffer in column-major order, starting at its current position.
    The ByteBuffer is expected to contain the values in column-major order.
    The position of the ByteBuffer will not be changed by this method.
    
    Parameters:
    
    buffer - the ByteBuffer to read the matrix values from in column-major order
    
    Returns:
    
    this
  - setFloats
```
public Matrix4d setFloats(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
  - set
```
public Matrix4d set(Vector4d col0,
                    Vector4d col1,
                    Vector4d col2,
                    Vector4d col3)
```
    Set the four columns of this matrix to the supplied vectors, respectively.
    
    Parameters:
    
    col0 - the first column
    
    col1 - the second column
    
    col2 - the third column
    
    col3 - the fourth column
    
    Returns:
    
    this
  - determinant
```
public double determinant()
```
    Description copied from interface: Matrix4dc
    
    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 Matrix4dc.determinantAffine() can be used instead of this method.
    
    Specified by:
    
    determinant in interface Matrix4dc
    
    Returns:
    
    the determinant
    
    See Also:
    
    Matrix4dc.determinantAffine()
  - determinant3x3
```
public double determinant3x3()
```
    Description copied from interface: Matrix4dc
    
    Return the determinant of the upper left 3x3 submatrix of this matrix.
    
    Specified by:
    
    determinant3x3 in interface Matrix4dc
    
    Returns:
    
    the determinant
  - determinantAffine
```
public double determinantAffine()
```
    Description copied from interface: Matrix4dc
    
    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).
    
    Specified by:
    
    determinantAffine in interface Matrix4dc
    
    Returns:
    
    the determinant
  - invert
```
public Matrix4d 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 invertAffine() can be used instead of this method.
    
    Returns:
    
    this
    
    See Also:
    
    invertAffine()
  - invert
```
public Matrix4d invert(Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Invert this matrix and store the result in 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 Matrix4dc.invertAffine(Matrix4d) can be used instead of this method.
    
    Specified by:
    
    invert in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    Matrix4dc.invertAffine(Matrix4d)
  - invertPerspective
```
public Matrix4d invertPerspective(Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    If this is a perspective projection matrix obtained via one of the perspective() methods, that is, if this is a symmetrical perspective frustum transformation, then this method builds the inverse of this and stores it into the given dest.
    This method can be used to quickly obtain the inverse of a perspective projection matrix when being obtained via perspective().
    
    Specified by:
    
    invertPerspective in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the inverse of this
    
    Returns:
    
    dest
    
    See Also:
    
    Matrix4dc.perspective(double, double, double, double, Matrix4d)
  - invertPerspective
```
public Matrix4d invertPerspective()
```
    If this is a perspective projection matrix obtained via one of the perspective() methods or via setPerspective(), that is, if this is a symmetrical perspective frustum transformation, then this method builds the inverse of this.
    This method can be used to quickly obtain the inverse of a perspective projection matrix when being obtained via perspective().
    
    Returns:
    
    this
    
    See Also:
    
    perspective(double, double, double, double)
  - invertFrustum
```
public Matrix4d invertFrustum(Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    If this is an arbitrary perspective projection matrix obtained via one of the frustum() methods, then this method builds the inverse of this and stores it into the given dest.
    This method can be used to quickly obtain the inverse of a perspective projection matrix.
    If this matrix represents a symmetric perspective frustum transformation, as obtained via perspective(), then Matrix4dc.invertPerspective(Matrix4d) should be used instead.
    
    Specified by:
    
    invertFrustum in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the inverse of this
    
    Returns:
    
    dest
    
    See Also:
    
    Matrix4dc.frustum(double, double, double, double, double, double, Matrix4d), Matrix4dc.invertPerspective(Matrix4d)
  - invertFrustum
```
public Matrix4d invertFrustum()
```
    If this is an arbitrary perspective projection matrix obtained via one of the frustum() methods or via setFrustum(), then this method builds the inverse of this.
    This method can be used to quickly obtain the inverse of a perspective projection matrix.
    If this matrix represents a symmetric perspective frustum transformation, as obtained via perspective(), then invertPerspective() should be used instead.
    
    Returns:
    
    this
    
    See Also:
    
    frustum(double, double, double, double, double, double), invertPerspective()
  - invertOrtho
```
public Matrix4d invertOrtho(Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Invert this orthographic projection matrix and store the result into the given dest.
    This method can be used to quickly obtain the inverse of an orthographic projection matrix.
    
    Specified by:
    
    invertOrtho in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the inverse of this
    
    Returns:
    
    dest
  - invertOrtho
```
public Matrix4d invertOrtho()
```
    Invert this orthographic projection matrix.
    This method can be used to quickly obtain the inverse of an orthographic projection matrix.
    
    Returns:
    
    this
  - invertPerspectiveView
```
public Matrix4d invertPerspectiveView(Matrix4dc view,
                                      Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    If this is a perspective projection matrix obtained via one of the perspective() methods, that is, if this is a symmetrical perspective frustum transformation and the given view matrix is affine and has unit scaling (for example by being obtained via lookAt()), then this method builds the inverse of this * view and stores it into the given dest.
    This method can be used to quickly obtain the inverse of the combination of the view and projection matrices, when both were obtained via the common methods perspective() and lookAt() or other methods, that build affine matrices, such as translate and Matrix4dc.rotate(double, double, double, double, Matrix4d), except for scale().
    For the special cases of the matrices this and view mentioned above, this method is equivalent to the following code:
```
 dest.set(this).mul(view).invert();
 
```
    Specified by:
    
    invertPerspectiveView in interface Matrix4dc
    
    Parameters:
    
    view - the view transformation (must be affine and have unit scaling)
    
    dest - will hold the inverse of this * view
    
    Returns:
    
    dest
  - invertPerspectiveView
```
public Matrix4d invertPerspectiveView(Matrix4x3dc view,
                                      Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    If this is a perspective projection matrix obtained via one of the perspective() methods, that is, if this is a symmetrical perspective frustum transformation and the given view matrix has unit scaling, then this method builds the inverse of this * view and stores it into the given dest.
    This method can be used to quickly obtain the inverse of the combination of the view and projection matrices, when both were obtained via the common methods perspective() and lookAt() or other methods, that build affine matrices, such as translate and Matrix4dc.rotate(double, double, double, double, Matrix4d), except for scale().
    For the special cases of the matrices this and view mentioned above, this method is equivalent to the following code:
```
 dest.set(this).mul(view).invert();
 
```
    Specified by:
    
    invertPerspectiveView in interface Matrix4dc
    
    Parameters:
    
    view - the view transformation (must have unit scaling)
    
    dest - will hold the inverse of this * view
    
    Returns:
    
    dest
  - invertAffine
```
public Matrix4d invertAffine(Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    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.
    
    Specified by:
    
    invertAffine in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - invertAffine
```
public Matrix4d invertAffine()
```
    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 Matrix4d transpose()
```
    Transpose this matrix.
    
    Returns:
    
    this
  - transpose
```
public Matrix4d transpose(Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Transpose this matrix and store the result into dest.
    
    Specified by:
    
    transpose in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - transpose3x3
```
public Matrix4d transpose3x3()
```
    Transpose only the upper left 3x3 submatrix of this matrix.
    All other matrix elements are left unchanged.
    
    Returns:
    
    this
  - transpose3x3
```
public Matrix4d transpose3x3(Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Transpose only the upper left 3x3 submatrix of this matrix and store the result in dest.
    All other matrix elements are left unchanged.
    
    Specified by:
    
    transpose3x3 in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - transpose3x3
```
public Matrix3d transpose3x3(Matrix3d dest)
```
    Description copied from interface: Matrix4dc
    
    Transpose only the upper left 3x3 submatrix of this matrix and store the result in dest.
    
    Specified by:
    
    transpose3x3 in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - translation
```
public Matrix4d translation(double x,
                            double y,
                            double z)
```
    Set this matrix to be a simple translation matrix.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional translation.
    
    Parameters:
    
    x - the offset to translate in x
    
    y - the offset to translate in y
    
    z - the offset to translate in z
    
    Returns:
    
    this
  - translation
```
public Matrix4d translation(Vector3fc offset)
```
    Set this matrix to be a simple translation matrix.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional translation.
    
    Parameters:
    
    offset - the offsets in x, y and z to translate
    
    Returns:
    
    this
  - translation
```
public Matrix4d translation(Vector3dc offset)
```
    Set this matrix to be a simple translation matrix.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional translation.
    
    Parameters:
    
    offset - the offsets in x, y and z to translate
    
    Returns:
    
    this
  - setTranslation
```
public Matrix4d setTranslation(double x,
                               double y,
                               double z)
```
    Set only the translation components (m30, m31, m32) of this matrix to the given values (x, y, z).
    To build a translation matrix instead, use translation(double, double, double). To apply a translation, use translate(double, double, double).
    
    Parameters:
    
    x - the units to translate in x
    
    y - the units to translate in y
    
    z - the units to translate in z
    
    Returns:
    
    this
    
    See Also:
    
    translation(double, double, double), translate(double, double, double)
  - setTranslation
```
public Matrix4d setTranslation(Vector3dc xyz)
```
    Set only the translation components (m30, m31, m32) of this matrix to the given values (xyz.x, xyz.y, xyz.z).
    To build a translation matrix instead, use translation(Vector3dc). To apply a translation, use translate(Vector3dc).
    
    Parameters:
    
    xyz - the units to translate in (x, y, z)
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3dc), translate(Vector3dc)
  - getTranslation
```
public Vector3d getTranslation(Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Get only the translation components (m30, m31, m32) of this matrix and store them in the given vector xyz.
    
    Specified by:
    
    getTranslation in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the translation components of this matrix
    
    Returns:
    
    dest
  - getScale
```
public Vector3d getScale(Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Get the scaling factors of this matrix for the three base axes.
    
    Specified by:
    
    getScale in interface Matrix4dc
    
    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 Matrix4d get(Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Get the current values of this matrix and store them into dest.
    
    Specified by:
    
    get in interface Matrix4dc
    
    Parameters:
    
    dest - the destination matrix
    
    Returns:
    
    the passed in destination
  - get4x3
```
public Matrix4x3d get4x3(Matrix4x3d dest)
```
    Description copied from interface: Matrix4dc
    
    Get the current values of the upper 4x3 submatrix of this matrix and store them into dest.
    
    Specified by:
    
    get4x3 in interface Matrix4dc
    
    Parameters:
    
    dest - the destination matrix
    
    Returns:
    
    the passed in destination
  - get3x3
```
public Matrix3d get3x3(Matrix3d dest)
```
    Description copied from interface: Matrix4dc
    
    Get the current values of the upper left 3x3 submatrix of this matrix and store them into dest.
    
    Specified by:
    
    get3x3 in interface Matrix4dc
    
    Parameters:
    
    dest - the destination matrix
    
    Returns:
    
    the passed in destination
  - getUnnormalizedRotation
```
public Quaternionf getUnnormalizedRotation(Quaternionf dest)
```
    Description copied from interface: Matrix4dc
    
    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.
    
    Specified by:
    
    getUnnormalizedRotation in interface Matrix4dc
    
    Parameters:
    
    dest - the destination Quaternionf
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    Quaternionf.setFromUnnormalized(Matrix4dc)
  - getNormalizedRotation
```
public Quaternionf getNormalizedRotation(Quaternionf dest)
```
    Description copied from interface: Matrix4dc
    
    Get the current values 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.
    
    Specified by:
    
    getNormalizedRotation in interface Matrix4dc
    
    Parameters:
    
    dest - the destination Quaternionf
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    Quaternionf.setFromNormalized(Matrix4dc)
  - getUnnormalizedRotation
```
public Quaterniond getUnnormalizedRotation(Quaterniond dest)
```
    Description copied from interface: Matrix4dc
    
    Get the current values 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.
    
    Specified by:
    
    getUnnormalizedRotation in interface Matrix4dc
    
    Parameters:
    
    dest - the destination Quaterniond
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    Quaterniond.setFromUnnormalized(Matrix4dc)
  - getNormalizedRotation
```
public Quaterniond getNormalizedRotation(Quaterniond dest)
```
    Description copied from interface: Matrix4dc
    
    Get the current values 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.
    
    Specified by:
    
    getNormalizedRotation in interface Matrix4dc
    
    Parameters:
    
    dest - the destination Quaterniond
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    Quaterniond.setFromNormalized(Matrix4dc)
  - get
```
public DoubleBuffer get(DoubleBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    Store this matrix in column-major order into the supplied DoubleBuffer at the current buffer position.
    This method will not increment the position of the given DoubleBuffer.
    In order to specify the offset into the DoubleBuffer at which the matrix is stored, use Matrix4dc.get(int, DoubleBuffer), taking the absolute position as parameter.
    
    Specified by:
    
    get in interface Matrix4dc
    
    Parameters:
    
    dest - will receive the values of this matrix in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    Matrix4dc.get(int, DoubleBuffer)
  - get
```
public DoubleBuffer get(int index,
                        DoubleBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    Store this matrix in column-major order into the supplied DoubleBuffer starting at the specified absolute buffer position/index.
    This method will not increment the position of the given DoubleBuffer.
    
    Specified by:
    
    get in interface Matrix4dc
    
    Parameters:
    
    index - the absolute position into the DoubleBuffer
    
    dest - will receive the values of this matrix in column-major order
    
    Returns:
    
    the passed in buffer
  - get
```
public FloatBuffer get(FloatBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    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 Matrix4dc.get(int, FloatBuffer), taking the absolute position as parameter.
    Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given FloatBuffer.
    
    Specified by:
    
    get in interface Matrix4dc
    
    Parameters:
    
    dest - will receive the values of this matrix in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    Matrix4dc.get(int, FloatBuffer)
  - get
```
public FloatBuffer get(int index,
                       FloatBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    Store this matrix in column-major order into the supplied FloatBuffer starting at the specified absolute buffer position/index.
    This method will not increment the position of the given FloatBuffer.
    Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given FloatBuffer.
    
    Specified by:
    
    get in interface Matrix4dc
    
    Parameters:
    
    index - the absolute position into the FloatBuffer
    
    dest - will receive the values of this matrix in column-major order
    
    Returns:
    
    the passed in buffer
  - get
```
public ByteBuffer get(ByteBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    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 Matrix4dc.get(int, ByteBuffer), taking the absolute position as parameter.
    
    Specified by:
    
    get in interface Matrix4dc
    
    Parameters:
    
    dest - will receive the values of this matrix in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    Matrix4dc.get(int, ByteBuffer)
  - get
```
public ByteBuffer get(int index,
                      ByteBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    Store this matrix in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
    This method will not increment the position of the given ByteBuffer.
    
    Specified by:
    
    get in interface Matrix4dc
    
    Parameters:
    
    index - the absolute position into the ByteBuffer
    
    dest - will receive the values of this matrix in column-major order
    
    Returns:
    
    the passed in buffer
  - getFloats
```
public ByteBuffer getFloats(ByteBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    Store the elements of this matrix as float values in column-major order into the supplied ByteBuffer at the current buffer position.
    This method will not increment the position of the given ByteBuffer.
    Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given ByteBuffer.
    In order to specify the offset into the ByteBuffer at which the matrix is stored, use Matrix4dc.getFloats(int, ByteBuffer), taking the absolute position as parameter.
    
    Specified by:
    
    getFloats in interface Matrix4dc
    
    Parameters:
    
    dest - will receive the elements of this matrix as float values in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    Matrix4dc.getFloats(int, ByteBuffer)
  - getFloats
```
public ByteBuffer getFloats(int index,
                            ByteBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    Store the elements of this matrix as float values in column-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
    This method will not increment the position of the given ByteBuffer.
    Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given ByteBuffer.
    
    Specified by:
    
    getFloats in interface Matrix4dc
    
    Parameters:
    
    index - the absolute position into the ByteBuffer
    
    dest - will receive the elements of this matrix as float values in column-major order
    
    Returns:
    
    the passed in buffer
  - get
```
public double[] get(double[] dest,
                    int offset)
```
    Description copied from interface: Matrix4dc
    
    Store this matrix into the supplied double array in column-major order at the given offset.
    
    Specified by:
    
    get in interface Matrix4dc
    
    Parameters:
    
    dest - the array to write the matrix values into
    
    offset - the offset into the array
    
    Returns:
    
    the passed in array
  - get
```
public double[] get(double[] dest)
```
    Description copied from interface: Matrix4dc
    
    Store this matrix into the supplied double array in column-major order.
    In order to specify an explicit offset into the array, use the method Matrix4dc.get(double[], int).
    
    Specified by:
    
    get in interface Matrix4dc
    
    Parameters:
    
    dest - the array to write the matrix values into
    
    Returns:
    
    the passed in array
    
    See Also:
    
    Matrix4dc.get(double[], int)
  - get
```
public float[] get(float[] dest,
                   int offset)
```
    Description copied from interface: Matrix4dc
    
    Store the elements of this matrix as float values in column-major order into the supplied float array at the given offset.
    Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given float array.
    
    Specified by:
    
    get in interface Matrix4dc
    
    Parameters:
    
    dest - the array to write the matrix values into
    
    offset - the offset into the array
    
    Returns:
    
    the passed in array
  - get
```
public float[] get(float[] dest)
```
    Description copied from interface: Matrix4dc
    
    Store the elements of this matrix as float values in column-major order into the supplied float array.
    Please note that due to this matrix storing double values those values will potentially lose precision when they are converted to float values before being put into the given float array.
    In order to specify an explicit offset into the array, use the method Matrix4dc.get(float[], int).
    
    Specified by:
    
    get in interface Matrix4dc
    
    Parameters:
    
    dest - the array to write the matrix values into
    
    Returns:
    
    the passed in array
    
    See Also:
    
    Matrix4dc.get(float[], int)
  - getTransposed
```
public DoubleBuffer getTransposed(DoubleBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    Store the transpose of this matrix in column-major order into the supplied DoubleBuffer at the current buffer position.
    This method will not increment the position of the given DoubleBuffer.
    In order to specify the offset into the DoubleBuffer at which the matrix is stored, use Matrix4dc.getTransposed(int, DoubleBuffer), taking the absolute position as parameter.
    
    Specified by:
    
    getTransposed in interface Matrix4dc
    
    Parameters:
    
    dest - will receive the values of this matrix in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    Matrix4dc.getTransposed(int, DoubleBuffer)
  - getTransposed
```
public DoubleBuffer getTransposed(int index,
                                  DoubleBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    Store the transpose of this matrix in column-major order into the supplied DoubleBuffer starting at the specified absolute buffer position/index.
    This method will not increment the position of the given DoubleBuffer.
    
    Specified by:
    
    getTransposed in interface Matrix4dc
    
    Parameters:
    
    index - the absolute position into the DoubleBuffer
    
    dest - will receive the values of this matrix in column-major order
    
    Returns:
    
    the passed in buffer
  - getTransposed
```
public ByteBuffer getTransposed(ByteBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    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 Matrix4dc.getTransposed(int, ByteBuffer), taking the absolute position as parameter.
    
    Specified by:
    
    getTransposed in interface Matrix4dc
    
    Parameters:
    
    dest - will receive the values of this matrix in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    Matrix4dc.getTransposed(int, ByteBuffer)
  - getTransposed
```
public ByteBuffer getTransposed(int index,
                                ByteBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    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.
    
    Specified by:
    
    getTransposed in interface Matrix4dc
    
    Parameters:
    
    index - the absolute position into the ByteBuffer
    
    dest - will receive the values of this matrix in column-major order
    
    Returns:
    
    the passed in buffer
  - get4x3Transposed
```
public DoubleBuffer get4x3Transposed(DoubleBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    Store the upper 4x3 submatrix of this matrix in row-major order into the supplied DoubleBuffer at the current buffer position.
    This method will not increment the position of the given DoubleBuffer.
    In order to specify the offset into the DoubleBuffer at which the matrix is stored, use Matrix4dc.get4x3Transposed(int, DoubleBuffer), taking the absolute position as parameter.
    
    Specified by:
    
    get4x3Transposed in interface Matrix4dc
    
    Parameters:
    
    dest - will receive the values of the upper 4x3 submatrix in row-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    Matrix4dc.get4x3Transposed(int, DoubleBuffer)
  - get4x3Transposed
```
public DoubleBuffer get4x3Transposed(int index,
                                     DoubleBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    Store the upper 4x3 submatrix of this matrix in row-major order into the supplied DoubleBuffer starting at the specified absolute buffer position/index.
    This method will not increment the position of the given DoubleBuffer.
    
    Specified by:
    
    get4x3Transposed in interface Matrix4dc
    
    Parameters:
    
    index - the absolute position into the DoubleBuffer
    
    dest - will receive the values of the upper 4x3 submatrix in row-major order
    
    Returns:
    
    the passed in buffer
  - get4x3Transposed
```
public ByteBuffer get4x3Transposed(ByteBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    Store the upper 4x3 submatrix of this matrix in row-major order into the supplied ByteBuffer at the current buffer position.
    This method will not increment the position of the given ByteBuffer.
    In order to specify the offset into the ByteBuffer at which the matrix is stored, use Matrix4dc.get4x3Transposed(int, ByteBuffer), taking the absolute position as parameter.
    
    Specified by:
    
    get4x3Transposed in interface Matrix4dc
    
    Parameters:
    
    dest - will receive the values of the upper 4x3 submatrix in row-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    Matrix4dc.get4x3Transposed(int, ByteBuffer)
  - get4x3Transposed
```
public ByteBuffer get4x3Transposed(int index,
                                   ByteBuffer dest)
```
    Description copied from interface: Matrix4dc
    
    Store the upper 4x3 submatrix of this matrix in row-major order into the supplied ByteBuffer starting at the specified absolute buffer position/index.
    This method will not increment the position of the given ByteBuffer.
    
    Specified by:
    
    get4x3Transposed in interface Matrix4dc
    
    Parameters:
    
    index - the absolute position into the ByteBuffer
    
    dest - will receive the values of the upper 4x3 submatrix in row-major order
    
    Returns:
    
    the passed in buffer
  - zero
```
public Matrix4d zero()
```
    Set all the values within this matrix to 0.
    
    Returns:
    
    this
  - scaling
```
public Matrix4d scaling(double factor)
```
    Set this matrix to be a simple scale matrix, which scales all axes uniformly by the given factor.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling.
    In order to post-multiply a scaling transformation directly to a matrix, use scale() instead.
    
    Parameters:
    
    factor - the scale factor in x, y and z
    
    Returns:
    
    this
    
    See Also:
    
    scale(double)
  - scaling
```
public Matrix4d scaling(double x,
                        double y,
                        double z)
```
    Set this matrix to be a simple scale matrix.
    
    Parameters:
    
    x - the scale in x
    
    y - the scale in y
    
    z - the scale in z
    
    Returns:
    
    this
  - scaling
```
public Matrix4d scaling(Vector3dc xyz)
```
    Set this matrix to be a simple scale matrix which scales the base axes by xyz.x, xyz.y and xyz.z, respectively.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional scaling.
    In order to post-multiply a scaling transformation directly to a matrix use scale() instead.
    
    Parameters:
    
    xyz - the scale in x, y and z, respectively
    
    Returns:
    
    this
    
    See Also:
    
    scale(Vector3dc)
  - rotation
```
public Matrix4d rotation(double angle,
                         double x,
                         double y,
                         double z)
```
    Set this matrix to a rotation matrix which rotates the given radians about a given axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    From Wikipedia
    
    Parameters:
    
    angle - the angle in radians
    
    x - the x-coordinate of the axis to rotate about
    
    y - the y-coordinate of the axis to rotate about
    
    z - the z-coordinate of the axis to rotate about
    
    Returns:
    
    this
  - rotationX
```
public Matrix4d rotationX(double ang)
```
    Set this matrix to a rotation transformation about the X axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    Returns:
    
    this
  - rotationY
```
public Matrix4d rotationY(double ang)
```
    Set this matrix to a rotation transformation about the Y axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    Returns:
    
    this
  - rotationZ
```
public Matrix4d rotationZ(double ang)
```
    Set this matrix to a rotation transformation about the Z axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    Returns:
    
    this
  - rotationTowardsXY
```
public Matrix4d rotationTowardsXY(double dirX,
                                  double dirY)
```
    Set this matrix to a rotation transformation about the Z axis to align the local +X towards (dirX, dirY).
    The vector (dirX, dirY) must be a unit vector.
    
    Parameters:
    
    dirX - the x component of the normalized direction
    
    dirY - the y component of the normalized direction
    
    Returns:
    
    this
  - rotationXYZ
```
public Matrix4d rotationXYZ(double angleX,
                            double angleY,
                            double angleZ)
```
    Set this matrix to a rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: rotationX(angleX).rotateY(angleY).rotateZ(angleZ)
    
    Parameters:
    
    angleX - the angle to rotate about X
    
    angleY - the angle to rotate about Y
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - rotationZYX
```
public Matrix4d rotationZYX(double angleZ,
                            double angleY,
                            double angleX)
```
    Set this matrix to a rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: rotationZ(angleZ).rotateY(angleY).rotateX(angleX)
    
    Parameters:
    
    angleZ - the angle to rotate about Z
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    Returns:
    
    this
  - rotationYXZ
```
public Matrix4d rotationYXZ(double angleY,
                            double angleX,
                            double angleZ)
```
    Set this matrix to a rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: rotationY(angleY).rotateX(angleX).rotateZ(angleZ)
    
    Parameters:
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - setRotationXYZ
```
public Matrix4d setRotationXYZ(double angleX,
                               double angleY,
                               double 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.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    
    Parameters:
    
    angleX - the angle to rotate about X
    
    angleY - the angle to rotate about Y
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - setRotationZYX
```
public Matrix4d setRotationZYX(double angleZ,
                               double angleY,
                               double 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.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    
    Parameters:
    
    angleZ - the angle to rotate about Z
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    Returns:
    
    this
  - setRotationYXZ
```
public Matrix4d setRotationYXZ(double angleY,
                               double angleX,
                               double 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.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    
    Parameters:
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - rotation
```
public Matrix4d rotation(double angle,
                         Vector3dc axis)
```
    Set this matrix to a rotation matrix which rotates the given radians about a given axis.
    The axis described by the axis vector needs to be a unit vector.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    
    Parameters:
    
    angle - the angle in radians
    
    axis - the axis to rotate about
    
    Returns:
    
    this
  - rotation
```
public Matrix4d rotation(double angle,
                         Vector3fc axis)
```
    Set this matrix to a rotation matrix which rotates the given radians about a given axis.
    The axis described by the axis vector needs to be a unit vector.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    
    Parameters:
    
    angle - the angle in radians
    
    axis - the axis to rotate about
    
    Returns:
    
    this
  - transform
```
public Vector4d transform(Vector4d v)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the given vector by this matrix and store the result in that vector.
    
    Specified by:
    
    transform in interface Matrix4dc
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    Returns:
    
    v
    
    See Also:
    
    Vector4d.mul(Matrix4dc)
  - transform
```
public Vector4d transform(Vector4dc v,
                          Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the given vector by this matrix and store the result in dest.
    
    Specified by:
    
    transform in interface Matrix4dc
    
    Parameters:
    
    v - the vector to transform
    
    dest - will contain the result
    
    Returns:
    
    dest
    
    See Also:
    
    Vector4d.mul(Matrix4dc, Vector4d)
  - transform
```
public Vector4d transform(double x,
                          double y,
                          double z,
                          double w,
                          Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the vector (x, y, z, w) by this matrix and store the result in dest.
    
    Specified by:
    
    transform in interface Matrix4dc
    
    Parameters:
    
    x - the x coordinate of the vector to transform
    
    y - the y coordinate of the vector to transform
    
    z - the z coordinate of the vector to transform
    
    w - the w coordinate of the vector to transform
    
    dest - will contain the result
    
    Returns:
    
    dest
  - transformProject
```
public Vector4d transformProject(Vector4d v)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.
    
    Specified by:
    
    transformProject in interface Matrix4dc
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    Returns:
    
    v
    
    See Also:
    
    Vector4d.mulProject(Matrix4dc)
  - transformProject
```
public Vector4d transformProject(Vector4dc v,
                                 Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the given vector by this matrix, perform perspective divide and store the result in dest.
    
    Specified by:
    
    transformProject in interface Matrix4dc
    
    Parameters:
    
    v - the vector to transform
    
    dest - will contain the result
    
    Returns:
    
    dest
    
    See Also:
    
    Vector4d.mulProject(Matrix4dc, Vector4d)
  - transformProject
```
public Vector4d transformProject(double x,
                                 double y,
                                 double z,
                                 double w,
                                 Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the vector (x, y, z, w) by this matrix, perform perspective divide and store the result in dest.
    
    Specified by:
    
    transformProject in interface Matrix4dc
    
    Parameters:
    
    x - the x coordinate of the direction to transform
    
    y - the y coordinate of the direction to transform
    
    z - the z coordinate of the direction to transform
    
    w - the w coordinate of the direction to transform
    
    dest - will contain the result
    
    Returns:
    
    dest
  - transformProject
```
public Vector3d transformProject(Vector3d v)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the given vector by this matrix, perform perspective divide and store the result in that vector.
    This method uses w=1.0 as the fourth vector component.
    
    Specified by:
    
    transformProject in interface Matrix4dc
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    Returns:
    
    v
    
    See Also:
    
    Vector3d.mulProject(Matrix4dc)
  - transformProject
```
public Vector3d transformProject(Vector3dc v,
                                 Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the given vector by this matrix, perform perspective divide and store the result in dest.
    This method uses w=1.0 as the fourth vector component.
    
    Specified by:
    
    transformProject in interface Matrix4dc
    
    Parameters:
    
    v - the vector to transform
    
    dest - will contain the result
    
    Returns:
    
    dest
    
    See Also:
    
    Vector3d.mulProject(Matrix4dc, Vector3d)
  - transformProject
```
public Vector3d transformProject(double x,
                                 double y,
                                 double z,
                                 Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the vector (x, y, z) by this matrix, perform perspective divide and store the result in dest.
    This method uses w=1.0 as the fourth vector component.
    
    Specified by:
    
    transformProject in interface Matrix4dc
    
    Parameters:
    
    x - the x coordinate of the vector to transform
    
    y - the y coordinate of the vector to transform
    
    z - the z coordinate of the vector to transform
    
    dest - will contain the result
    
    Returns:
    
    dest
  - transformPosition
```
public Vector3d transformPosition(Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    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 Matrix4dc.transform(Vector4d) or Matrix4dc.transformProject(Vector3d) when perspective divide should be applied, too.
    In order to store the result in another vector, use Matrix4dc.transformPosition(Vector3dc, Vector3d).
    
    Specified by:
    
    transformPosition in interface Matrix4dc
    
    Parameters:
    
    dest - the vector to transform and to hold the final result
    
    Returns:
    
    v
    
    See Also:
    
    Matrix4dc.transformPosition(Vector3dc, Vector3d), Matrix4dc.transform(Vector4d), Matrix4dc.transformProject(Vector3d)
  - transformPosition
```
public Vector3d transformPosition(Vector3dc v,
                                  Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the given 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 Matrix4dc.transform(Vector4dc, Vector4d) or Matrix4dc.transformProject(Vector3dc, Vector3d) when perspective divide should be applied, too.
    In order to store the result in the same vector, use Matrix4dc.transformPosition(Vector3d).
    
    Specified by:
    
    transformPosition in interface Matrix4dc
    
    Parameters:
    
    v - the vector to transform
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    Matrix4dc.transformPosition(Vector3d), Matrix4dc.transform(Vector4dc, Vector4d), Matrix4dc.transformProject(Vector3dc, Vector3d)
  - transformPosition
```
public Vector3d transformPosition(double x,
                                  double y,
                                  double z,
                                  Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the 3D-vector (x, y, z), 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 Matrix4dc.transform(double, double, double, double, Vector4d) or Matrix4dc.transformProject(double, double, double, Vector3d) when perspective divide should be applied, too.
    
    Specified by:
    
    transformPosition in interface Matrix4dc
    
    Parameters:
    
    x - the x coordinate of the position
    
    y - the y coordinate of the position
    
    z - the z coordinate of the position
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    Matrix4dc.transform(double, double, double, double, Vector4d), Matrix4dc.transformProject(double, double, double, Vector3d)
  - transformDirection
```
public Vector3d transformDirection(Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the given 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 Matrix4dc.transformDirection(Vector3dc, Vector3d).
    
    Specified by:
    
    transformDirection in interface Matrix4dc
    
    Parameters:
    
    dest - the vector to transform and to hold the final result
    
    Returns:
    
    v
  - transformDirection
```
public Vector3d transformDirection(Vector3dc v,
                                   Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the given 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 Matrix4dc.transformDirection(Vector3d).
    
    Specified by:
    
    transformDirection in interface Matrix4dc
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    dest - will hold the result
    
    Returns:
    
    dest
  - transformDirection
```
public Vector3d transformDirection(double x,
                                   double y,
                                   double z,
                                   Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the 3D-vector (x, y, z), 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.
    
    Specified by:
    
    transformDirection in interface Matrix4dc
    
    Parameters:
    
    x - the x coordinate of the direction to transform
    
    y - the y coordinate of the direction to transform
    
    z - the z coordinate of the direction to transform
    
    dest - will hold the result
    
    Returns:
    
    dest
  - transformDirection
```
public Vector3f transformDirection(Vector3f dest)
```
    Description copied from interface: Matrix4dc
    
    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 Matrix4dc.transformDirection(Vector3fc, Vector3f).
    
    Specified by:
    
    transformDirection in interface Matrix4dc
    
    Parameters:
    
    dest - the vector to transform and to hold the final result
    
    Returns:
    
    v
  - transformDirection
```
public Vector3f transformDirection(Vector3fc v,
                                   Vector3f dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the given 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 Matrix4dc.transformDirection(Vector3f).
    
    Specified by:
    
    transformDirection in interface Matrix4dc
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    dest - will hold the result
    
    Returns:
    
    dest
  - transformDirection
```
public Vector3f transformDirection(double x,
                                   double y,
                                   double z,
                                   Vector3f dest)
```
  - transformAffine
```
public Vector4d transformAffine(Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    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 Matrix4dc.transformAffine(Vector4dc, Vector4d).
    
    Specified by:
    
    transformAffine in interface Matrix4dc
    
    Parameters:
    
    dest - the vector to transform and to hold the final result
    
    Returns:
    
    v
    
    See Also:
    
    Matrix4dc.transformAffine(Vector4dc, Vector4d)
  - transformAffine
```
public Vector4d transformAffine(Vector4dc v,
                                Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the given 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 Matrix4dc.transformAffine(Vector4d).
    
    Specified by:
    
    transformAffine in interface Matrix4dc
    
    Parameters:
    
    v - the vector to transform and to hold the final result
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    Matrix4dc.transformAffine(Vector4d)
  - transformAffine
```
public Vector4d transformAffine(double x,
                                double y,
                                double z,
                                double w,
                                Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    Transform/multiply the 4D-vector (x, y, z, w) 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.
    
    Specified by:
    
    transformAffine in interface Matrix4dc
    
    Parameters:
    
    x - the x coordinate of the direction to transform
    
    y - the y coordinate of the direction to transform
    
    z - the z coordinate of the direction to transform
    
    w - the w coordinate of the direction to transform
    
    dest - will hold the result
    
    Returns:
    
    dest
  - set3x3
```
public Matrix4d set3x3(Matrix3dc mat)
```
    Set the upper left 3x3 submatrix of this Matrix4d to the given Matrix3dc and don't change the other elements.
    
    Parameters:
    
    mat - the 3x3 matrix
    
    Returns:
    
    this
  - scale
```
public Matrix4d scale(Vector3dc xyz,
                      Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply scaling to this matrix by scaling the base axes by the given xyz.x, xyz.y and xyz.z factors, respectively and store the result in dest.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!
    
    Specified by:
    
    scale in interface Matrix4dc
    
    Parameters:
    
    xyz - the factors of the x, y and z component, respectively
    
    dest - will hold the result
    
    Returns:
    
    dest
  - scale
```
public Matrix4d scale(Vector3dc xyz)
```
    Apply scaling to this matrix by scaling the base axes by the given xyz.x, xyz.y and xyz.z factors, respectively.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!
    
    Parameters:
    
    xyz - the factors of the x, y and z component, respectively
    
    Returns:
    
    this
  - scale
```
public Matrix4d scale(double x,
                      double y,
                      double z,
                      Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply scaling to this matrix by scaling the base axes by the given x, y and z factors and store the result in dest.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!
    
    Specified by:
    
    scale in interface Matrix4dc
    
    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 Matrix4d scale(double x,
                      double y,
                      double z)
```
    Apply scaling to this matrix by scaling the base axes by the given x, y and z factors.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!
    
    Parameters:
    
    x - the factor of the x component
    
    y - the factor of the y component
    
    z - the factor of the z component
    
    Returns:
    
    this
  - scale
```
public Matrix4d scale(double xyz,
                      Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor and store the result in dest.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!
    
    Specified by:
    
    scale in interface Matrix4dc
    
    Parameters:
    
    xyz - the factor for all components
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    Matrix4dc.scale(double, double, double, Matrix4d)
  - scale
```
public Matrix4d scale(double xyz)
```
    Apply scaling to this matrix by uniformly scaling all base axes by the given xyz factor.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!
    
    Parameters:
    
    xyz - the factor for all components
    
    Returns:
    
    this
    
    See Also:
    
    scale(double, double, double)
  - scaleXY
```
public Matrix4d scaleXY(double x,
                        double y,
                        Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply scaling to this matrix by by scaling the X axis by x and the Y axis by y and store the result in dest.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!
    
    Specified by:
    
    scaleXY in interface Matrix4dc
    
    Parameters:
    
    x - the factor of the x component
    
    y - the factor of the y component
    
    dest - will hold the result
    
    Returns:
    
    dest
  - scaleXY
```
public Matrix4d scaleXY(double x,
                        double y)
```
    Apply scaling to this matrix by scaling the X axis by x and the Y axis by y.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!
    
    Parameters:
    
    x - the factor of the x component
    
    y - the factor of the y component
    
    Returns:
    
    this
  - scaleAround
```
public Matrix4d scaleAround(double sx,
                            double sy,
                            double sz,
                            double ox,
                            double oy,
                            double oz,
                            Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using (ox, oy, oz) as the scaling origin, and store the result in dest.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v , the scaling will be applied first!
    This method is equivalent to calling: translate(ox, oy, oz, dest).scale(sx, sy, sz).translate(-ox, -oy, -oz)
    
    Specified by:
    
    scaleAround in interface Matrix4dc
    
    Parameters:
    
    sx - the scaling factor of the x component
    
    sy - the scaling factor of the y component
    
    sz - the scaling factor of the z component
    
    ox - the x coordinate of the scaling origin
    
    oy - the y coordinate of the scaling origin
    
    oz - the z coordinate of the scaling origin
    
    dest - will hold the result
    
    Returns:
    
    dest
  - scaleAround
```
public Matrix4d scaleAround(double sx,
                            double sy,
                            double sz,
                            double ox,
                            double oy,
                            double oz)
```
    Apply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using (ox, oy, oz) as the scaling origin.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!
    This method is equivalent to calling: translate(ox, oy, oz).scale(sx, sy, sz).translate(-ox, -oy, -oz)
    
    Parameters:
    
    sx - the scaling factor of the x component
    
    sy - the scaling factor of the y component
    
    sz - the scaling factor of the z component
    
    ox - the x coordinate of the scaling origin
    
    oy - the y coordinate of the scaling origin
    
    oz - the z coordinate of the scaling origin
    
    Returns:
    
    this
  - scaleAround
```
public Matrix4d scaleAround(double factor,
                            double ox,
                            double oy,
                            double oz)
```
    Apply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!
    This method is equivalent to calling: translate(ox, oy, oz).scale(factor).translate(-ox, -oy, -oz)
    
    Parameters:
    
    factor - the scaling factor for all three axes
    
    ox - the x coordinate of the scaling origin
    
    oy - the y coordinate of the scaling origin
    
    oz - the z coordinate of the scaling origin
    
    Returns:
    
    this
  - scaleAround
```
public Matrix4d scaleAround(double factor,
                            double ox,
                            double oy,
                            double oz,
                            Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin, and store the result in dest.
    If M is this matrix and S the scaling matrix, then the new matrix will be M * S. So when transforming a vector v with the new matrix by using M * S * v, the scaling will be applied first!
    This method is equivalent to calling: translate(ox, oy, oz, dest).scale(factor).translate(-ox, -oy, -oz)
    
    Specified by:
    
    scaleAround in interface Matrix4dc
    
    Parameters:
    
    factor - the scaling factor for all three axes
    
    ox - the x coordinate of the scaling origin
    
    oy - the y coordinate of the scaling origin
    
    oz - the z coordinate of the scaling origin
    
    dest - will hold the result
    
    Returns:
    
    this
  - scaleLocal
```
public Matrix4d scaleLocal(double x,
                           double y,
                           double z,
                           Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Pre-multiply scaling to this matrix by scaling the base axes by the given x, y and z factors and store the result in dest.
    If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v , the scaling will be applied last!
    
    Specified by:
    
    scaleLocal in interface Matrix4dc
    
    Parameters:
    
    x - the factor of the x component
    
    y - the factor of the y component
    
    z - the factor of the z component
    
    dest - will hold the result
    
    Returns:
    
    dest
  - scaleLocal
```
public Matrix4d scaleLocal(double xyz,
                           Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Pre-multiply scaling to this matrix by 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 S * M. So when transforming a vector v with the new matrix by using S * M * v , the scaling will be applied last!
    
    Specified by:
    
    scaleLocal in interface Matrix4dc
    
    Parameters:
    
    xyz - the factor to scale all three base axes by
    
    dest - will hold the result
    
    Returns:
    
    dest
  - scaleLocal
```
public Matrix4d scaleLocal(double xyz)
```
    Pre-multiply scaling to this matrix by scaling the base axes by the given xyz factor.
    If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v, the scaling will be applied last!
    
    Parameters:
    
    xyz - the factor of the x, y and z component
    
    Returns:
    
    this
  - scaleLocal
```
public Matrix4d scaleLocal(double x,
                           double y,
                           double z)
```
    Pre-multiply scaling to this matrix by scaling the base axes by the given x, y and z factors.
    If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v, the scaling will be applied last!
    
    Parameters:
    
    x - the factor of the x component
    
    y - the factor of the y component
    
    z - the factor of the z component
    
    Returns:
    
    this
  - scaleAroundLocal
```
public Matrix4d scaleAroundLocal(double sx,
                                 double sy,
                                 double sz,
                                 double ox,
                                 double oy,
                                 double oz,
                                 Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Pre-multiply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using the given (ox, oy, oz) as the scaling origin, and store the result in dest.
    If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v , the scaling will be applied last!
    This method is equivalent to calling: new Matrix4d().translate(ox, oy, oz).scale(sx, sy, sz).translate(-ox, -oy, -oz).mul(this, dest)
    
    Specified by:
    
    scaleAroundLocal in interface Matrix4dc
    
    Parameters:
    
    sx - the scaling factor of the x component
    
    sy - the scaling factor of the y component
    
    sz - the scaling factor of the z component
    
    ox - the x coordinate of the scaling origin
    
    oy - the y coordinate of the scaling origin
    
    oz - the z coordinate of the scaling origin
    
    dest - will hold the result
    
    Returns:
    
    dest
  - scaleAroundLocal
```
public Matrix4d scaleAroundLocal(double sx,
                                 double sy,
                                 double sz,
                                 double ox,
                                 double oy,
                                 double oz)
```
    Pre-multiply scaling to this matrix by scaling the base axes by the given sx, sy and sz factors while using (ox, oy, oz) as the scaling origin.
    If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v, the scaling will be applied last!
    This method is equivalent to calling: new Matrix4d().translate(ox, oy, oz).scale(sx, sy, sz).translate(-ox, -oy, -oz).mul(this, this)
    
    Parameters:
    
    sx - the scaling factor of the x component
    
    sy - the scaling factor of the y component
    
    sz - the scaling factor of the z component
    
    ox - the x coordinate of the scaling origin
    
    oy - the y coordinate of the scaling origin
    
    oz - the z coordinate of the scaling origin
    
    Returns:
    
    this
  - scaleAroundLocal
```
public Matrix4d scaleAroundLocal(double factor,
                                 double ox,
                                 double oy,
                                 double oz)
```
    Pre-multiply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin.
    If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v, the scaling will be applied last!
    This method is equivalent to calling: new Matrix4d().translate(ox, oy, oz).scale(factor).translate(-ox, -oy, -oz).mul(this, this)
    
    Parameters:
    
    factor - the scaling factor for all three axes
    
    ox - the x coordinate of the scaling origin
    
    oy - the y coordinate of the scaling origin
    
    oz - the z coordinate of the scaling origin
    
    Returns:
    
    this
  - scaleAroundLocal
```
public Matrix4d scaleAroundLocal(double factor,
                                 double ox,
                                 double oy,
                                 double oz,
                                 Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Pre-multiply scaling to this matrix by scaling all three base axes by the given factor while using (ox, oy, oz) as the scaling origin, and store the result in dest.
    If M is this matrix and S the scaling matrix, then the new matrix will be S * M. So when transforming a vector v with the new matrix by using S * M * v, the scaling will be applied last!
    This method is equivalent to calling: new Matrix4d().translate(ox, oy, oz).scale(factor).translate(-ox, -oy, -oz).mul(this, dest)
    
    Specified by:
    
    scaleAroundLocal in interface Matrix4dc
    
    Parameters:
    
    factor - the scaling factor for all three axes
    
    ox - the x coordinate of the scaling origin
    
    oy - the y coordinate of the scaling origin
    
    oz - the z coordinate of the scaling origin
    
    dest - will hold the result
    
    Returns:
    
    this
  - rotate
```
public Matrix4d rotate(double ang,
                       double x,
                       double y,
                       double z,
                       Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply rotation to this matrix by rotating the given amount of radians about the given axis specified as x, y and z components and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v , the rotation will be applied first!
    
    Specified by:
    
    rotate in interface Matrix4dc
    
    Parameters:
    
    ang - the angle is in radians
    
    x - the x component of the axis
    
    y - the y component of the axis
    
    z - the z component of the axis
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotate
```
public Matrix4d rotate(double ang,
                       double x,
                       double y,
                       double z)
```
    Apply rotation to this matrix by rotating the given amount of radians about the given axis specified as x, y and z components.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v , the rotation will be applied first!
    In order to set the matrix to a rotation matrix without post-multiplying the rotation transformation, use rotation().
    
    Parameters:
    
    ang - the angle is in radians
    
    x - the x component of the axis
    
    y - the y component of the axis
    
    z - the z component of the axis
    
    Returns:
    
    this
    
    See Also:
    
    rotation(double, double, double, double)
  - rotateTranslation
```
public Matrix4d rotateTranslation(double ang,
                                  double x,
                                  double y,
                                  double z,
                                  Matrix4d dest)
```
    Apply rotation to this matrix, which is assumed to only contain a translation, by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.
    This method assumes this to only contain a translation.
    The axis described by the three components needs to be a unit vector.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    In order to set the matrix to a rotation matrix without post-multiplying the rotation transformation, use rotation().
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateTranslation in interface Matrix4dc
    
    Parameters:
    
    ang - the angle in radians
    
    x - the x component of the axis
    
    y - the y component of the axis
    
    z - the z component of the axis
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(double, double, double, double)
  - rotateAffine
```
public Matrix4d rotateAffine(double ang,
                             double x,
                             double y,
                             double z,
                             Matrix4d dest)
```
    Apply rotation to this affine matrix by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.
    This method assumes this to be affine.
    The axis described by the three components needs to be a unit vector.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    In order to set the matrix to a rotation matrix without post-multiplying the rotation transformation, use rotation().
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateAffine in interface Matrix4dc
    
    Parameters:
    
    ang - the angle in radians
    
    x - the x component of the axis
    
    y - the y component of the axis
    
    z - the z component of the axis
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(double, double, double, double)
  - rotateAffine
```
public Matrix4d rotateAffine(double ang,
                             double x,
                             double y,
                             double z)
```
    Apply rotation to this affine matrix by rotating the given amount of radians about the specified (x, y, z) axis.
    This method assumes this to be affine.
    The axis described by the three components needs to be a unit vector.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    In order to set the matrix to a rotation matrix without post-multiplying the rotation transformation, use rotation().
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    x - the x component of the axis
    
    y - the y component of the axis
    
    z - the z component of the axis
    
    Returns:
    
    this
    
    See Also:
    
    rotation(double, double, double, double)
  - rotateAround
```
public Matrix4d rotateAround(Quaterniondc quat,
                             double ox,
                             double oy,
                             double oz)
```
    Apply the rotation transformation of the given Quaterniondc to this matrix while using (ox, oy, oz) as the rotation origin.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    This method is equivalent to calling: translate(ox, oy, oz).rotate(quat).translate(-ox, -oy, -oz)
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaterniondc
    
    ox - the x coordinate of the rotation origin
    
    oy - the y coordinate of the rotation origin
    
    oz - the z coordinate of the rotation origin
    
    Returns:
    
    a matrix holding the result
  - rotateAroundAffine
```
public Matrix4d rotateAroundAffine(Quaterniondc quat,
                                   double ox,
                                   double oy,
                                   double oz,
                                   Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this affine matrix while using (ox, oy, oz) as the rotation origin, and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    This method is only applicable if this is an affine matrix.
    This method is equivalent to calling: translate(ox, oy, oz, dest).rotate(quat).translate(-ox, -oy, -oz)
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateAroundAffine in interface Matrix4dc
    
    Parameters:
    
    quat - the Quaterniondc
    
    ox - the x coordinate of the rotation origin
    
    oy - the y coordinate of the rotation origin
    
    oz - the z coordinate of the rotation origin
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateAround
```
public Matrix4d rotateAround(Quaterniondc quat,
                             double ox,
                             double oy,
                             double oz,
                             Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix while using (ox, oy, oz) as the rotation origin, and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    This method is equivalent to calling: translate(ox, oy, oz, dest).rotate(quat).translate(-ox, -oy, -oz)
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateAround in interface Matrix4dc
    
    Parameters:
    
    quat - the Quaterniondc
    
    ox - the x coordinate of the rotation origin
    
    oy - the y coordinate of the rotation origin
    
    oz - the z coordinate of the rotation origin
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotationAround
```
public Matrix4d rotationAround(Quaterniondc quat,
                               double ox,
                               double oy,
                               double oz)
```
    Set this matrix to a transformation composed of a rotation of the specified Quaterniondc while using (ox, oy, oz) as the rotation origin.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: translation(ox, oy, oz).rotate(quat).translate(-ox, -oy, -oz)
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaterniondc
    
    ox - the x coordinate of the rotation origin
    
    oy - the y coordinate of the rotation origin
    
    oz - the z coordinate of the rotation origin
    
    Returns:
    
    this
  - rotateLocal
```
public Matrix4d rotateLocal(double ang,
                            double x,
                            double y,
                            double z,
                            Matrix4d dest)
```
    Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis and store the result in dest.
    The axis described by the three components needs to be a unit vector.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!
    In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotation().
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateLocal in interface Matrix4dc
    
    Parameters:
    
    ang - the angle in radians
    
    x - the x component of the axis
    
    y - the y component of the axis
    
    z - the z component of the axis
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(double, double, double, double)
  - rotateLocal
```
public Matrix4d rotateLocal(double ang,
                            double x,
                            double y,
                            double z)
```
    Pre-multiply a rotation to this matrix by rotating the given amount of radians about the specified (x, y, z) axis.
    The axis described by the three components needs to be a unit vector.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!
    In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotation().
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    x - the x component of the axis
    
    y - the y component of the axis
    
    z - the z component of the axis
    
    Returns:
    
    this
    
    See Also:
    
    rotation(double, double, double, double)
  - rotateAroundLocal
```
public Matrix4d rotateAroundLocal(Quaterniondc quat,
                                  double ox,
                                  double oy,
                                  double oz,
                                  Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Pre-multiply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix while using (ox, oy, oz) as the rotation origin, and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!
    This method is equivalent to calling: translateLocal(-ox, -oy, -oz, dest).rotateLocal(quat).translateLocal(ox, oy, oz)
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateAroundLocal in interface Matrix4dc
    
    Parameters:
    
    quat - the Quaterniondc
    
    ox - the x coordinate of the rotation origin
    
    oy - the y coordinate of the rotation origin
    
    oz - the z coordinate of the rotation origin
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateAroundLocal
```
public Matrix4d rotateAroundLocal(Quaterniondc quat,
                                  double ox,
                                  double oy,
                                  double oz)
```
    Pre-multiply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix while using (ox, oy, oz) as the rotation origin.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!
    This method is equivalent to calling: translateLocal(-ox, -oy, -oz).rotateLocal(quat).translateLocal(ox, oy, oz)
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaterniondc
    
    ox - the x coordinate of the rotation origin
    
    oy - the y coordinate of the rotation origin
    
    oz - the z coordinate of the rotation origin
    
    Returns:
    
    this
  - translate
```
public Matrix4d translate(Vector3dc offset)
```
    Apply a translation to this matrix by translating by the given number of units in x, y and z.
    If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!
    In order to set the matrix to a translation transformation without post-multiplying it, use translation(Vector3dc).
    
    Parameters:
    
    offset - the number of units in x, y and z by which to translate
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3dc)
  - translate
```
public Matrix4d translate(Vector3dc offset,
                          Matrix4d dest)
```
    Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
    If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!
    In order to set the matrix to a translation transformation without post-multiplying it, use translation(Vector3dc).
    
    Specified by:
    
    translate in interface Matrix4dc
    
    Parameters:
    
    offset - the number of units in x, y and z by which to translate
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    translation(Vector3dc)
  - translate
```
public Matrix4d translate(Vector3fc offset)
```
    Apply a translation to this matrix by translating by the given number of units in x, y and z.
    If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!
    In order to set the matrix to a translation transformation without post-multiplying it, use translation(Vector3fc).
    
    Parameters:
    
    offset - the number of units in x, y and z by which to translate
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3fc)
  - translate
```
public Matrix4d translate(Vector3fc offset,
                          Matrix4d dest)
```
    Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
    If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!
    In order to set the matrix to a translation transformation without post-multiplying it, use translation(Vector3fc).
    
    Specified by:
    
    translate in interface Matrix4dc
    
    Parameters:
    
    offset - the number of units in x, y and z by which to translate
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    translation(Vector3fc)
  - translate
```
public Matrix4d translate(double x,
                          double y,
                          double z,
                          Matrix4d dest)
```
    Apply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
    If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!
    In order to set the matrix to a translation transformation without post-multiplying it, use translation(double, double, double).
    
    Specified by:
    
    translate in interface Matrix4dc
    
    Parameters:
    
    x - the offset to translate in x
    
    y - the offset to translate in y
    
    z - the offset to translate in z
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    translation(double, double, double)
  - translate
```
public Matrix4d translate(double x,
                          double y,
                          double z)
```
    Apply a translation to this matrix by translating by the given number of units in x, y and z.
    If M is this matrix and T the translation matrix, then the new matrix will be M * T. So when transforming a vector v with the new matrix by using M * T * v, the translation will be applied first!
    In order to set the matrix to a translation transformation without post-multiplying it, use translation(double, double, double).
    
    Parameters:
    
    x - the offset to translate in x
    
    y - the offset to translate in y
    
    z - the offset to translate in z
    
    Returns:
    
    this
    
    See Also:
    
    translation(double, double, double)
  - translateLocal
```
public Matrix4d translateLocal(Vector3fc offset)
```
    Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.
    If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!
    In order to set the matrix to a translation transformation without pre-multiplying it, use translation(Vector3fc).
    
    Parameters:
    
    offset - the number of units in x, y and z by which to translate
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3fc)
  - translateLocal
```
public Matrix4d translateLocal(Vector3fc offset,
                               Matrix4d dest)
```
    Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
    If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!
    In order to set the matrix to a translation transformation without pre-multiplying it, use translation(Vector3fc).
    
    Specified by:
    
    translateLocal in interface Matrix4dc
    
    Parameters:
    
    offset - the number of units in x, y and z by which to translate
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    translation(Vector3fc)
  - translateLocal
```
public Matrix4d translateLocal(Vector3dc offset)
```
    Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.
    If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!
    In order to set the matrix to a translation transformation without pre-multiplying it, use translation(Vector3dc).
    
    Parameters:
    
    offset - the number of units in x, y and z by which to translate
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3dc)
  - translateLocal
```
public Matrix4d translateLocal(Vector3dc offset,
                               Matrix4d dest)
```
    Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
    If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!
    In order to set the matrix to a translation transformation without pre-multiplying it, use translation(Vector3dc).
    
    Specified by:
    
    translateLocal in interface Matrix4dc
    
    Parameters:
    
    offset - the number of units in x, y and z by which to translate
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    translation(Vector3dc)
  - translateLocal
```
public Matrix4d translateLocal(double x,
                               double y,
                               double z,
                               Matrix4d dest)
```
    Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z and store the result in dest.
    If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!
    In order to set the matrix to a translation transformation without pre-multiplying it, use translation(double, double, double).
    
    Specified by:
    
    translateLocal in interface Matrix4dc
    
    Parameters:
    
    x - the offset to translate in x
    
    y - the offset to translate in y
    
    z - the offset to translate in z
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    translation(double, double, double)
  - translateLocal
```
public Matrix4d translateLocal(double x,
                               double y,
                               double z)
```
    Pre-multiply a translation to this matrix by translating by the given number of units in x, y and z.
    If M is this matrix and T the translation matrix, then the new matrix will be T * M. So when transforming a vector v with the new matrix by using T * M * v, the translation will be applied last!
    In order to set the matrix to a translation transformation without pre-multiplying it, use translation(double, double, double).
    
    Parameters:
    
    x - the offset to translate in x
    
    y - the offset to translate in y
    
    z - the offset to translate in z
    
    Returns:
    
    this
    
    See Also:
    
    translation(double, double, double)
  - rotateLocalX
```
public Matrix4d rotateLocalX(double ang,
                             Matrix4d dest)
```
    Pre-multiply a rotation around the X axis to this matrix by rotating the given amount of radians about the X axis and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!
    In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationX().
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateLocalX in interface Matrix4dc
    
    Parameters:
    
    ang - the angle in radians to rotate about the X axis
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotationX(double)
  - rotateLocalX
```
public Matrix4d rotateLocalX(double ang)
```
    Pre-multiply a rotation to this matrix by rotating the given amount of radians about the X axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!
    In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationX().
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians to rotate about the X axis
    
    Returns:
    
    this
    
    See Also:
    
    rotationX(double)
  - rotateLocalY
```
public Matrix4d rotateLocalY(double ang,
                             Matrix4d dest)
```
    Pre-multiply a rotation around the Y axis to this matrix by rotating the given amount of radians about the Y axis and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!
    In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationY().
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateLocalY in interface Matrix4dc
    
    Parameters:
    
    ang - the angle in radians to rotate about the Y axis
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotationY(double)
  - rotateLocalY
```
public Matrix4d rotateLocalY(double ang)
```
    Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Y axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!
    In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationY().
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians to rotate about the Y axis
    
    Returns:
    
    this
    
    See Also:
    
    rotationY(double)
  - rotateLocalZ
```
public Matrix4d rotateLocalZ(double ang,
                             Matrix4d dest)
```
    Pre-multiply a rotation around the Z axis to this matrix by rotating the given amount of radians about the Z axis and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!
    In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationZ().
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateLocalZ in interface Matrix4dc
    
    Parameters:
    
    ang - the angle in radians to rotate about the Z axis
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotationZ(double)
  - rotateLocalZ
```
public Matrix4d rotateLocalZ(double ang)
```
    Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Z axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be R * M. So when transforming a vector v with the new matrix by using R * M * v, the rotation will be applied last!
    In order to set the matrix to a rotation matrix without pre-multiplying the rotation transformation, use rotationY().
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians to rotate about the Z axis
    
    Returns:
    
    this
    
    See Also:
    
    rotationY(double)
  - writeExternal
```
public void writeExternal(ObjectOutput out)
                   throws IOException
```
    Specified by:
    
    writeExternal in interface Externalizable
    
    Throws:
    
    IOException
  - readExternal
```
public void readExternal(ObjectInput in)
                  throws IOException
```
    Specified by:
    
    readExternal in interface Externalizable
    
    Throws:
    
    IOException
  - rotateX
```
public Matrix4d rotateX(double ang,
                        Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply rotation about the X axis to this matrix by rotating the given amount of radians and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateX in interface Matrix4dc
    
    Parameters:
    
    ang - the angle in radians
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateX
```
public Matrix4d rotateX(double ang)
```
    Apply rotation about the X axis to this matrix by rotating the given amount of radians.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    Returns:
    
    this
  - rotateY
```
public Matrix4d rotateY(double ang,
                        Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply rotation about the Y axis to this matrix by rotating the given amount of radians and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateY in interface Matrix4dc
    
    Parameters:
    
    ang - the angle in radians
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateY
```
public Matrix4d rotateY(double ang)
```
    Apply rotation about the Y axis to this matrix by rotating the given amount of radians.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    Returns:
    
    this
  - rotateZ
```
public Matrix4d rotateZ(double ang,
                        Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply rotation about the Z axis to this matrix by rotating the given amount of radians and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateZ in interface Matrix4dc
    
    Parameters:
    
    ang - the angle in radians
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateZ
```
public Matrix4d rotateZ(double ang)
```
    Apply rotation about the Z axis to this matrix by rotating the given amount of radians.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    Returns:
    
    this
  - rotateTowardsXY
```
public Matrix4d rotateTowardsXY(double dirX,
                                double dirY)
```
    Apply rotation about the Z axis to align the local +X towards (dirX, dirY).
    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!
    The vector (dirX, dirY) must be a unit vector.
    
    Parameters:
    
    dirX - the x component of the normalized direction
    
    dirY - the y component of the normalized direction
    
    Returns:
    
    this
  - rotateTowardsXY
```
public Matrix4d rotateTowardsXY(double dirX,
                                double dirY,
                                Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply rotation about the Z axis to align the local +X towards (dirX, dirY) and store the result 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!
    The vector (dirX, dirY) must be a unit vector.
    
    Specified by:
    
    rotateTowardsXY in interface Matrix4dc
    
    Parameters:
    
    dirX - the x component of the normalized direction
    
    dirY - the y component of the normalized direction
    
    dest - will hold the result
    
    Returns:
    
    this
  - rotateXYZ
```
public Matrix4d rotateXYZ(Vector3d angles)
```
    Apply rotation of angles.x radians about the X axis, followed by a rotation of angles.y radians about the Y axis and followed by a rotation of angles.z radians about the Z axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateX(angles.x).rotateY(angles.y).rotateZ(angles.z)
    
    Parameters:
    
    angles - the Euler angles
    
    Returns:
    
    this
  - rotateXYZ
```
public Matrix4d rotateXYZ(double angleX,
                          double angleY,
                          double angleZ)
```
    Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateX(angleX).rotateY(angleY).rotateZ(angleZ)
    
    Parameters:
    
    angleX - the angle to rotate about X
    
    angleY - the angle to rotate about Y
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - rotateXYZ
```
public Matrix4d rotateXYZ(double angleX,
                          double angleY,
                          double angleZ,
                          Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateX(angleX, dest).rotateY(angleY).rotateZ(angleZ)
    
    Specified by:
    
    rotateXYZ in interface Matrix4dc
    
    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
  - rotateAffineXYZ
```
public Matrix4d rotateAffineXYZ(double angleX,
                                double angleY,
                                double angleZ)
```
    Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    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
  - rotateAffineXYZ
```
public Matrix4d rotateAffineXYZ(double angleX,
                                double angleY,
                                double angleZ,
                                Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply rotation of angleX radians about the X axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    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!
    
    Specified by:
    
    rotateAffineXYZ in interface Matrix4dc
    
    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 Matrix4d rotateZYX(Vector3d angles)
```
    Apply rotation of angles.z radians about the Z axis, followed by a rotation of angles.y radians about the Y axis and followed by a rotation of angles.x radians about the X axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateZ(angles.z).rotateY(angles.y).rotateX(angles.x)
    
    Parameters:
    
    angles - the Euler angles
    
    Returns:
    
    this
  - rotateZYX
```
public Matrix4d rotateZYX(double angleZ,
                          double angleY,
                          double angleX)
```
    Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateZ(angleZ).rotateY(angleY).rotateX(angleX)
    
    Parameters:
    
    angleZ - the angle to rotate about Z
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    Returns:
    
    this
  - rotateZYX
```
public Matrix4d rotateZYX(double angleZ,
                          double angleY,
                          double angleX,
                          Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateZ(angleZ, dest).rotateY(angleY).rotateX(angleX)
    
    Specified by:
    
    rotateZYX in interface Matrix4dc
    
    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
  - rotateAffineZYX
```
public Matrix4d rotateAffineZYX(double angleZ,
                                double angleY,
                                double angleX)
```
    Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    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
  - rotateAffineZYX
```
public Matrix4d rotateAffineZYX(double angleZ,
                                double angleY,
                                double angleX,
                                Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply rotation of angleZ radians about the Z axis, followed by a rotation of angleY radians about the Y axis and followed by a rotation of angleX radians about the X axis and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    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!
    
    Specified by:
    
    rotateAffineZYX in interface Matrix4dc
    
    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 Matrix4d rotateYXZ(Vector3d angles)
```
    Apply rotation of angles.y radians about the Y axis, followed by a rotation of angles.x radians about the X axis and followed by a rotation of angles.z radians about the Z axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateY(angles.y).rotateX(angles.x).rotateZ(angles.z)
    
    Parameters:
    
    angles - the Euler angles
    
    Returns:
    
    this
  - rotateYXZ
```
public Matrix4d rotateYXZ(double angleY,
                          double angleX,
                          double angleZ)
```
    Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateY(angleY).rotateX(angleX).rotateZ(angleZ)
    
    Parameters:
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    angleZ - the angle to rotate about Z
    
    Returns:
    
    this
  - rotateYXZ
```
public Matrix4d rotateYXZ(double angleY,
                          double angleX,
                          double angleZ,
                          Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the rotation will be applied first!
    This method is equivalent to calling: rotateY(angleY, dest).rotateX(angleX).rotateZ(angleZ)
    
    Specified by:
    
    rotateYXZ in interface Matrix4dc
    
    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
  - rotateAffineYXZ
```
public Matrix4d rotateAffineYXZ(double angleY,
                                double angleX,
                                double angleZ)
```
    Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    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
  - rotateAffineYXZ
```
public Matrix4d rotateAffineYXZ(double angleY,
                                double angleX,
                                double angleZ,
                                Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply rotation of angleY radians about the Y axis, followed by a rotation of angleX radians about the X axis and followed by a rotation of angleZ radians about the Z axis and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    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!
    
    Specified by:
    
    rotateAffineYXZ in interface Matrix4dc
    
    Parameters:
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    angleZ - the angle to rotate about Z
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotation
```
public Matrix4d rotation(AxisAngle4f angleAxis)
```
    Set this matrix to a rotation transformation using the given AxisAngle4f.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.
    In order to apply the rotation transformation to an existing transformation, use rotate() instead.
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    angleAxis - the AxisAngle4f (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(AxisAngle4f)
  - rotation
```
public Matrix4d rotation(AxisAngle4d angleAxis)
```
    Set this matrix to a rotation transformation using the given AxisAngle4d.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.
    In order to apply the rotation transformation to an existing transformation, use rotate() instead.
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    angleAxis - the AxisAngle4d (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(AxisAngle4d)
  - rotation
```
public Matrix4d rotation(Quaterniondc quat)
```
    Set this matrix to the rotation - and possibly scaling - transformation of the given Quaterniondc.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.
    In order to apply the rotation transformation to an existing transformation, use rotate() instead.
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaterniondc
    
    Returns:
    
    this
    
    See Also:
    
    rotate(Quaterniondc)
  - rotation
```
public Matrix4d rotation(Quaternionfc quat)
```
    Set this matrix to the rotation - and possibly scaling - transformation of the given Quaternionfc.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.
    In order to apply the rotation transformation to an existing transformation, use rotate() instead.
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaternionfc
    
    Returns:
    
    this
    
    See Also:
    
    rotate(Quaternionfc)
  - translationRotateScale
```
public Matrix4d translationRotateScale(double tx,
                                       double ty,
                                       double tz,
                                       double qx,
                                       double qy,
                                       double qz,
                                       double qw,
                                       double sx,
                                       double sy,
                                       double sz)
```
    Set this matrix to T * R * S, where T is a translation by the given (tx, ty, tz), R is a rotation transformation specified by the quaternion (qx, qy, qz, qw), and S is a scaling transformation which scales the three axes x, y and z by (sx, sy, sz).
    When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: translation(tx, ty, tz).rotate(quat).scale(sx, sy, sz)
    
    Parameters:
    
    tx - the number of units by which to translate the x-component
    
    ty - the number of units by which to translate the y-component
    
    tz - the number of units by which to translate the z-component
    
    qx - the x-coordinate of the vector part of the quaternion
    
    qy - the y-coordinate of the vector part of the quaternion
    
    qz - the z-coordinate of the vector part of the quaternion
    
    qw - the scalar part of the quaternion
    
    sx - the scaling factor for the x-axis
    
    sy - the scaling factor for the y-axis
    
    sz - the scaling factor for the z-axis
    
    Returns:
    
    this
    
    See Also:
    
    translation(double, double, double), rotate(Quaterniondc), scale(double, double, double)
  - translationRotateScale
```
public Matrix4d translationRotateScale(Vector3fc translation,
                                       Quaternionfc quat,
                                       Vector3fc scale)
```
    Set this matrix to T * R * S, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales the axes by scale.
    When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: translation(translation).rotate(quat).scale(scale)
    
    Parameters:
    
    translation - the translation
    
    quat - the quaternion representing a rotation
    
    scale - the scaling factors
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3fc), rotate(Quaternionfc)
  - translationRotateScale
```
public Matrix4d translationRotateScale(Vector3dc translation,
                                       Quaterniondc quat,
                                       Vector3dc scale)
```
    Set this matrix to T * R * S, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales the axes by scale.
    When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: translation(translation).rotate(quat).scale(scale)
    
    Parameters:
    
    translation - the translation
    
    quat - the quaternion representing a rotation
    
    scale - the scaling factors
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3dc), rotate(Quaterniondc), scale(Vector3dc)
  - translationRotateScale
```
public Matrix4d translationRotateScale(double tx,
                                       double ty,
                                       double tz,
                                       double qx,
                                       double qy,
                                       double qz,
                                       double qw,
                                       double scale)
```
    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 all three axes by scale.
    When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: translation(tx, ty, tz).rotate(quat).scale(scale)
    
    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
    
    scale - the scaling factor for all three axes
    
    Returns:
    
    this
    
    See Also:
    
    translation(double, double, double), rotate(Quaterniondc), scale(double)
  - translationRotateScale
```
public Matrix4d translationRotateScale(Vector3dc translation,
                                       Quaterniondc quat,
                                       double scale)
```
    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 all three axes by scale.
    When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: translation(translation).rotate(quat).scale(scale)
    
    Parameters:
    
    translation - the translation
    
    quat - the quaternion representing a rotation
    
    scale - the scaling factors
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3dc), rotate(Quaterniondc), scale(double)
  - translationRotateScale
```
public Matrix4d translationRotateScale(Vector3fc translation,
                                       Quaternionfc quat,
                                       double 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 all three axes by scale.
    When transforming a vector by the resulting matrix the scaling transformation will be applied first, then the rotation and at last the translation.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: translation(translation).rotate(quat).scale(scale)
    
    Parameters:
    
    translation - the translation
    
    quat - the quaternion representing a rotation
    
    scale - the scaling factors
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3fc), rotate(Quaternionfc), scale(double)
  - translationRotateScaleInvert
```
public Matrix4d translationRotateScaleInvert(double tx,
                                             double ty,
                                             double tz,
                                             double qx,
                                             double qy,
                                             double qz,
                                             double qw,
                                             double sx,
                                             double sy,
                                             double sz)
```
    Set this matrix to (T * R * S)^-1, 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).
    This method is equivalent to calling: translationRotateScale(...).invert()
    
    Parameters:
    
    tx - the number of units by which to translate the x-component
    
    ty - the number of units by which to translate the y-component
    
    tz - the number of units by which to translate the z-component
    
    qx - the x-coordinate of the vector part of the quaternion
    
    qy - the y-coordinate of the vector part of the quaternion
    
    qz - the z-coordinate of the vector part of the quaternion
    
    qw - the scalar part of the quaternion
    
    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:
    
    translationRotateScale(double, double, double, double, double, double, double, double, double, double), invert()
  - translationRotateScaleInvert
```
public Matrix4d translationRotateScaleInvert(Vector3dc translation,
                                             Quaterniondc quat,
                                             Vector3dc scale)
```
    Set this matrix to (T * R * S)^-1, 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.
    This method is equivalent to calling: translationRotateScale(...).invert()
    
    Parameters:
    
    translation - the translation
    
    quat - the quaternion representing a rotation
    
    scale - the scaling factors
    
    Returns:
    
    this
    
    See Also:
    
    translationRotateScale(Vector3dc, Quaterniondc, Vector3dc), invert()
  - translationRotateScaleInvert
```
public Matrix4d translationRotateScaleInvert(Vector3fc translation,
                                             Quaternionfc quat,
                                             Vector3fc scale)
```
    Set this matrix to (T * R * S)^-1, 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.
    This method is equivalent to calling: translationRotateScale(...).invert()
    
    Parameters:
    
    translation - the translation
    
    quat - the quaternion representing a rotation
    
    scale - the scaling factors
    
    Returns:
    
    this
    
    See Also:
    
    translationRotateScale(Vector3fc, Quaternionfc, Vector3fc), invert()
  - translationRotateScaleInvert
```
public Matrix4d translationRotateScaleInvert(Vector3dc translation,
                                             Quaterniondc quat,
                                             double scale)
```
    Set this matrix to (T * R * S)^-1, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales all three axes by scale.
    This method is equivalent to calling: translationRotateScale(...).invert()
    
    Parameters:
    
    translation - the translation
    
    quat - the quaternion representing a rotation
    
    scale - the scaling factors
    
    Returns:
    
    this
    
    See Also:
    
    translationRotateScale(Vector3dc, Quaterniondc, double), invert()
  - translationRotateScaleInvert
```
public Matrix4d translationRotateScaleInvert(Vector3fc translation,
                                             Quaternionfc quat,
                                             double scale)
```
    Set this matrix to (T * R * S)^-1, where T is the given translation, R is a rotation transformation specified by the given quaternion, and S is a scaling transformation which scales all three axes by scale.
    This method is equivalent to calling: translationRotateScale(...).invert()
    
    Parameters:
    
    translation - the translation
    
    quat - the quaternion representing a rotation
    
    scale - the scaling factors
    
    Returns:
    
    this
    
    See Also:
    
    translationRotateScale(Vector3fc, Quaternionfc, double), invert()
  - translationRotateScaleMulAffine
```
public Matrix4d translationRotateScaleMulAffine(double tx,
                                                double ty,
                                                double tz,
                                                double qx,
                                                double qy,
                                                double qz,
                                                double qw,
                                                double sx,
                                                double sy,
                                                double sz,
                                                Matrix4d m)
```
    Set this matrix to T * R * S * M, where T is a translation by the given (tx, ty, tz), R is a rotation - and possibly scaling - transformation specified by the quaternion (qx, qy, qz, qw), S is a scaling transformation which scales the three axes x, y and z by (sx, sy, sz) and M is an affine matrix.
    When transforming a vector by the resulting matrix the transformation described by M will be applied first, then the scaling, then rotation and at last the translation.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: translation(tx, ty, tz).rotate(quat).scale(sx, sy, sz).mulAffine(m)
    
    Parameters:
    
    tx - the number of units by which to translate the x-component
    
    ty - the number of units by which to translate the y-component
    
    tz - the number of units by which to translate the z-component
    
    qx - the x-coordinate of the vector part of the quaternion
    
    qy - the y-coordinate of the vector part of the quaternion
    
    qz - the z-coordinate of the vector part of the quaternion
    
    qw - the scalar part of the quaternion
    
    sx - the scaling factor for the x-axis
    
    sy - the scaling factor for the y-axis
    
    sz - the scaling factor for the z-axis
    
    m - the affine matrix to multiply by
    
    Returns:
    
    this
    
    See Also:
    
    translation(double, double, double), rotate(Quaterniondc), scale(double, double, double), mulAffine(Matrix4dc)
  - translationRotateScaleMulAffine
```
public Matrix4d translationRotateScaleMulAffine(Vector3fc translation,
                                                Quaterniondc quat,
                                                Vector3fc scale,
                                                Matrix4d m)
```
    Set this matrix to T * R * S * M, where T is the given translation, R is a rotation - and possibly scaling - transformation specified by the given quaternion, S is a scaling transformation which scales the axes by scale and M is an affine matrix.
    When transforming a vector by the resulting matrix the transformation described by M will be applied first, then the scaling, then rotation and at last the translation.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: translation(translation).rotate(quat).scale(scale).mulAffine(m)
    
    Parameters:
    
    translation - the translation
    
    quat - the quaternion representing a rotation
    
    scale - the scaling factors
    
    m - the affine matrix to multiply by
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3fc), rotate(Quaterniondc), mulAffine(Matrix4dc)
  - translationRotate
```
public Matrix4d translationRotate(double tx,
                                  double ty,
                                  double tz,
                                  double qx,
                                  double qy,
                                  double qz,
                                  double qw)
```
    Set this matrix to T * R, where T is a translation by the given (tx, ty, tz) and R is a rotation - and possibly scaling - transformation specified by the quaternion (qx, qy, qz, qw).
    When transforming a vector by the resulting matrix the rotation - and possibly scaling - transformation will be applied first and then the translation.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: translation(tx, ty, tz).rotate(quat)
    
    Parameters:
    
    tx - the number of units by which to translate the x-component
    
    ty - the number of units by which to translate the y-component
    
    tz - the number of units by which to translate the z-component
    
    qx - the x-coordinate of the vector part of the quaternion
    
    qy - the y-coordinate of the vector part of the quaternion
    
    qz - the z-coordinate of the vector part of the quaternion
    
    qw - the scalar part of the quaternion
    
    Returns:
    
    this
    
    See Also:
    
    translation(double, double, double), rotate(Quaterniondc)
  - translationRotate
```
public Matrix4d translationRotate(double tx,
                                  double ty,
                                  double tz,
                                  Quaterniondc quat)
```
    Set this matrix to T * R, where T is a translation by the given (tx, ty, tz) and R is a rotation - and possibly scaling - transformation specified by the given quaternion.
    When transforming a vector by the resulting matrix the rotation - and possibly scaling - transformation will be applied first and then the translation.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    This method is equivalent to calling: translation(tx, ty, tz).rotate(quat)
    
    Parameters:
    
    tx - the number of units by which to translate the x-component
    
    ty - the number of units by which to translate the y-component
    
    tz - the number of units by which to translate the z-component
    
    quat - the quaternion representing a rotation
    
    Returns:
    
    this
    
    See Also:
    
    translation(double, double, double), rotate(Quaterniondc)
  - rotate
```
public Matrix4d rotate(Quaterniondc quat,
                       Matrix4d dest)
```
    Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaterniondc).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotate in interface Matrix4dc
    
    Parameters:
    
    quat - the Quaterniondc
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(Quaterniondc)
  - rotate
```
public Matrix4d rotate(Quaternionfc quat,
                       Matrix4d dest)
```
    Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionfc).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotate in interface Matrix4dc
    
    Parameters:
    
    quat - the Quaternionfc
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(Quaternionfc)
  - rotate
```
public Matrix4d rotate(Quaterniondc quat)
```
    Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaterniondc).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaterniondc
    
    Returns:
    
    this
    
    See Also:
    
    rotation(Quaterniondc)
  - rotate
```
public Matrix4d rotate(Quaternionfc quat)
```
    Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionfc).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaternionfc
    
    Returns:
    
    this
    
    See Also:
    
    rotation(Quaternionfc)
  - rotateAffine
```
public Matrix4d rotateAffine(Quaterniondc quat,
                             Matrix4d dest)
```
    Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this affine matrix and store the result in dest.
    This method assumes this to be affine.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaterniondc).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateAffine in interface Matrix4dc
    
    Parameters:
    
    quat - the Quaterniondc
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(Quaterniondc)
  - rotateAffine
```
public Matrix4d rotateAffine(Quaterniondc quat)
```
    Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix.
    This method assumes this to be affine.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaterniondc).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaterniondc
    
    Returns:
    
    this
    
    See Also:
    
    rotation(Quaterniondc)
  - rotateTranslation
```
public Matrix4d rotateTranslation(Quaterniondc quat,
                                  Matrix4d dest)
```
    Apply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix, which is assumed to only contain a translation, and store the result in dest.
    This method assumes this to only contain a translation.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaterniondc).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateTranslation in interface Matrix4dc
    
    Parameters:
    
    quat - the Quaterniondc
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(Quaterniondc)
  - rotateTranslation
```
public Matrix4d rotateTranslation(Quaternionfc quat,
                                  Matrix4d dest)
```
    Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix, which is assumed to only contain a translation, and store the result in dest.
    This method assumes this to only contain a translation.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionfc).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateTranslation in interface Matrix4dc
    
    Parameters:
    
    quat - the Quaternionfc
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(Quaternionfc)
  - rotateLocal
```
public Matrix4d rotateLocal(Quaterniondc quat,
                            Matrix4d dest)
```
    Pre-multiply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!
    In order to set the matrix to a rotation transformation without pre-multiplying, use rotation(Quaterniondc).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateLocal in interface Matrix4dc
    
    Parameters:
    
    quat - the Quaterniondc
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(Quaterniondc)
  - rotateLocal
```
public Matrix4d rotateLocal(Quaterniondc quat)
```
    Pre-multiply the rotation - and possibly scaling - transformation of the given Quaterniondc to this matrix.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!
    In order to set the matrix to a rotation transformation without pre-multiplying, use rotation(Quaterniondc).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaterniondc
    
    Returns:
    
    this
    
    See Also:
    
    rotation(Quaterniondc)
  - rotateAffine
```
public Matrix4d rotateAffine(Quaternionfc quat,
                             Matrix4d dest)
```
    Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this affine matrix and store the result in dest.
    This method assumes this to be affine.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionfc).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateAffine in interface Matrix4dc
    
    Parameters:
    
    quat - the Quaternionfc
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(Quaternionfc)
  - rotateAffine
```
public Matrix4d rotateAffine(Quaternionfc quat)
```
    Apply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix.
    This method assumes this to be affine.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be M * Q. So when transforming a vector v with the new matrix by using M * Q * v, the quaternion rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(Quaternionfc).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaternionfc
    
    Returns:
    
    this
    
    See Also:
    
    rotation(Quaternionfc)
  - rotateLocal
```
public Matrix4d rotateLocal(Quaternionfc quat,
                            Matrix4d dest)
```
    Pre-multiply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!
    In order to set the matrix to a rotation transformation without pre-multiplying, use rotation(Quaternionfc).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotateLocal in interface Matrix4dc
    
    Parameters:
    
    quat - the Quaternionfc
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(Quaternionfc)
  - rotateLocal
```
public Matrix4d rotateLocal(Quaternionfc quat)
```
    Pre-multiply the rotation - and possibly scaling - transformation of the given Quaternionfc to this matrix.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and Q the rotation matrix obtained from the given quaternion, then the new matrix will be Q * M. So when transforming a vector v with the new matrix by using Q * M * v, the quaternion rotation will be applied last!
    In order to set the matrix to a rotation transformation without pre-multiplying, use rotation(Quaternionfc).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    quat - the Quaternionfc
    
    Returns:
    
    this
    
    See Also:
    
    rotation(Quaternionfc)
  - rotate
```
public Matrix4d rotate(AxisAngle4f axisAngle)
```
    Apply a rotation transformation, rotating about the given AxisAngle4f, to this matrix.
    The axis described by the axis vector needs to be a unit vector.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and A the rotation matrix obtained from the given AxisAngle4f, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the AxisAngle4f rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(AxisAngle4f).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    axisAngle - the AxisAngle4f (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(double, double, double, double), rotation(AxisAngle4f)
  - rotate
```
public Matrix4d rotate(AxisAngle4f axisAngle,
                       Matrix4d dest)
```
    Apply a rotation transformation, rotating about the given AxisAngle4f and store the result in dest.
    The axis described by the axis vector needs to be a unit vector.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and A the rotation matrix obtained from the given AxisAngle4f, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the AxisAngle4f rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(AxisAngle4f).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotate in interface Matrix4dc
    
    Parameters:
    
    axisAngle - the AxisAngle4f (needs to be normalized)
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotate(double, double, double, double), rotation(AxisAngle4f)
  - rotate
```
public Matrix4d rotate(AxisAngle4d axisAngle)
```
    Apply a rotation transformation, rotating about the given AxisAngle4d, to this matrix.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and A the rotation matrix obtained from the given AxisAngle4d, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the AxisAngle4d rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(AxisAngle4d).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    axisAngle - the AxisAngle4d (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(double, double, double, double), rotation(AxisAngle4d)
  - rotate
```
public Matrix4d rotate(AxisAngle4d axisAngle,
                       Matrix4d dest)
```
    Apply a rotation transformation, rotating about the given AxisAngle4d and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and A the rotation matrix obtained from the given AxisAngle4d, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the AxisAngle4d rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(AxisAngle4d).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotate in interface Matrix4dc
    
    Parameters:
    
    axisAngle - the AxisAngle4d (needs to be normalized)
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotate(double, double, double, double), rotation(AxisAngle4d)
  - rotate
```
public Matrix4d rotate(double angle,
                       Vector3dc axis)
```
    Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and A the rotation matrix obtained from the given angle and axis, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(double, Vector3dc).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    angle - the angle in radians
    
    axis - the rotation axis (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(double, double, double, double), rotation(double, Vector3dc)
  - rotate
```
public Matrix4d rotate(double angle,
                       Vector3dc axis,
                       Matrix4d dest)
```
    Apply a rotation transformation, rotating the given radians about the specified axis and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and A the rotation matrix obtained from the given angle and axis, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(double, Vector3dc).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotate in interface Matrix4dc
    
    Parameters:
    
    angle - the angle in radians
    
    axis - the rotation axis (needs to be normalized)
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotate(double, double, double, double), rotation(double, Vector3dc)
  - rotate
```
public Matrix4d rotate(double angle,
                       Vector3fc axis)
```
    Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and A the rotation matrix obtained from the given angle and axis, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(double, Vector3fc).
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    angle - the angle in radians
    
    axis - the rotation axis (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(double, double, double, double), rotation(double, Vector3fc)
  - rotate
```
public Matrix4d rotate(double angle,
                       Vector3fc axis,
                       Matrix4d dest)
```
    Apply a rotation transformation, rotating the given radians about the specified axis and store the result in dest.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and A the rotation matrix obtained from the given angle and axis, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(double, Vector3fc).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotate in interface Matrix4dc
    
    Parameters:
    
    angle - the angle in radians
    
    axis - the rotation axis (needs to be normalized)
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotate(double, double, double, double), rotation(double, Vector3fc)
  - getRow
```
public Vector4d getRow(int row,
                       Vector4d dest)
                throws IndexOutOfBoundsException
```
    Description copied from interface: Matrix4dc
    
    Get the row at the given row index, starting with 0.
    
    Specified by:
    
    getRow in interface Matrix4dc
    
    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]
  - getRow
```
public Vector3d getRow(int row,
                       Vector3d dest)
                throws IndexOutOfBoundsException
```
    Description copied from interface: Matrix4dc
    
    Get the first three components of the row at the given row index, starting with 0.
    
    Specified by:
    
    getRow in interface Matrix4dc
    
    Parameters:
    
    row - the row index in [0..3]
    
    dest - will hold the first three row components
    
    Returns:
    
    the passed in destination
    
    Throws:
    
    IndexOutOfBoundsException - if row is not in [0..3]
  - setRow
```
public Matrix4d setRow(int row,
                       Vector4dc src)
                throws IndexOutOfBoundsException
```
    Set the row at the given row index, starting with 0.
    
    Parameters:
    
    row - the row index in [0..3]
    
    src - the row components to set
    
    Returns:
    
    this
    
    Throws:
    
    IndexOutOfBoundsException - if row is not in [0..3]
  - getColumn
```
public Vector4d getColumn(int column,
                          Vector4d dest)
                   throws IndexOutOfBoundsException
```
    Description copied from interface: Matrix4dc
    
    Get the column at the given column index, starting with 0.
    
    Specified by:
    
    getColumn in interface Matrix4dc
    
    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]
  - getColumn
```
public Vector3d getColumn(int column,
                          Vector3d dest)
                   throws IndexOutOfBoundsException
```
    Description copied from interface: Matrix4dc
    
    Get the first three components of the column at the given column index, starting with 0.
    
    Specified by:
    
    getColumn in interface Matrix4dc
    
    Parameters:
    
    column - the column index in [0..3]
    
    dest - will hold the first three column components
    
    Returns:
    
    the passed in destination
    
    Throws:
    
    IndexOutOfBoundsException - if column is not in [0..3]
  - setColumn
```
public Matrix4d setColumn(int column,
                          Vector4dc src)
                   throws IndexOutOfBoundsException
```
    Set the column at the given column index, starting with 0.
    
    Parameters:
    
    column - the column index in [0..3]
    
    src - the column components to set
    
    Returns:
    
    this
    
    Throws:
    
    IndexOutOfBoundsException - if column is not in [0..3]
  - normal
```
public Matrix4d 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(Matrix4dc) to set a given Matrix4f to only the upper left 3x3 submatrix of this matrix.
    
    Returns:
    
    this
    
    See Also:
    
    set3x3(Matrix4dc)
  - normal
```
public Matrix4d normal(Matrix4d dest)
```
    Compute a normal matrix from the upper left 3x3 submatrix 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(Matrix4dc) to set a given Matrix4d to only the upper left 3x3 submatrix of a given matrix.
    
    Specified by:
    
    normal in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    set3x3(Matrix4dc)
  - normal
```
public Matrix3d normal(Matrix3d dest)
```
    Compute a normal matrix from the upper left 3x3 submatrix 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 Matrix3d.set(Matrix4dc) to set a given Matrix3d to only the upper left 3x3 submatrix of this matrix.
    
    Specified by:
    
    normal in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    Matrix3d.set(Matrix4dc), get3x3(Matrix3d)
  - cofactor3x3
```
public Matrix4d cofactor3x3()
```
    Compute the cofactor matrix of the upper left 3x3 submatrix of this.
    The cofactor matrix can be used instead of normal() to transform normals when the orientation of the normals with respect to the surface should be preserved.
    
    Returns:
    
    this
  - cofactor3x3
```
public Matrix3d cofactor3x3(Matrix3d dest)
```
    Compute the cofactor matrix of the upper left 3x3 submatrix of this and store it into dest.
    The cofactor matrix can be used instead of normal(Matrix3d) to transform normals when the orientation of the normals with respect to the surface should be preserved.
    
    Specified by:
    
    cofactor3x3 in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - cofactor3x3
```
public Matrix4d cofactor3x3(Matrix4d dest)
```
    Compute the cofactor matrix of the upper left 3x3 submatrix of this and store it into dest. All other values of dest will be set to identity.
    The cofactor matrix can be used instead of normal(Matrix4d) to transform normals when the orientation of the normals with respect to the surface should be preserved.
    
    Specified by:
    
    cofactor3x3 in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - normalize3x3
```
public Matrix4d normalize3x3()
```
    Normalize the upper left 3x3 submatrix of this matrix.
    The resulting matrix will map unit vectors to unit vectors, though a pair of orthogonal input unit vectors need not be mapped to a pair of orthogonal output vectors if the original matrix was not orthogonal itself (i.e. had skewing).
    
    Returns:
    
    this
  - normalize3x3
```
public Matrix4d normalize3x3(Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Normalize the upper left 3x3 submatrix of this matrix and store the result in dest.
    The resulting matrix will map unit vectors to unit vectors, though a pair of orthogonal input unit vectors need not be mapped to a pair of orthogonal output vectors if the original matrix was not orthogonal itself (i.e. had skewing).
    
    Specified by:
    
    normalize3x3 in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - normalize3x3
```
public Matrix3d normalize3x3(Matrix3d dest)
```
    Description copied from interface: Matrix4dc
    
    Normalize the upper left 3x3 submatrix of this matrix and store the result in dest.
    The resulting matrix will map unit vectors to unit vectors, though a pair of orthogonal input unit vectors need not be mapped to a pair of orthogonal output vectors if the original matrix was not orthogonal itself (i.e. had skewing).
    
    Specified by:
    
    normalize3x3 in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - unproject
```
public Vector4d unproject(double winX,
                          double winY,
                          double winZ,
                          int[] viewport,
                          Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    Unproject the given window coordinates (winX, winY, winZ) 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 Matrix4dc.invert(Matrix4d) and then the method unprojectInv() can be invoked on it.
    
    Specified by:
    
    unproject in interface Matrix4dc
    
    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:
    
    Matrix4dc.unprojectInv(double, double, double, int[], Vector4d), Matrix4dc.invert(Matrix4d)
  - unproject
```
public Vector3d unproject(double winX,
                          double winY,
                          double winZ,
                          int[] viewport,
                          Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Unproject the given window coordinates (winX, winY, winZ) 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 Matrix4dc.invert(Matrix4d) and then the method unprojectInv() can be invoked on it.
    
    Specified by:
    
    unproject in interface Matrix4dc
    
    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:
    
    Matrix4dc.unprojectInv(double, double, double, int[], Vector3d), Matrix4dc.invert(Matrix4d)
  - unproject
```
public Vector4d unproject(Vector3dc winCoords,
                          int[] viewport,
                          Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    Unproject the given window 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 Matrix4dc.invert(Matrix4d) and then the method unprojectInv() can be invoked on it.
    
    Specified by:
    
    unproject in interface Matrix4dc
    
    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:
    
    Matrix4dc.unprojectInv(double, double, double, int[], Vector4d), Matrix4dc.unproject(double, double, double, int[], Vector4d), Matrix4dc.invert(Matrix4d)
  - unproject
```
public Vector3d unproject(Vector3dc winCoords,
                          int[] viewport,
                          Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Unproject the given window 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 Matrix4dc.invert(Matrix4d) and then the method unprojectInv() can be invoked on it.
    
    Specified by:
    
    unproject in interface Matrix4dc
    
    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:
    
    Matrix4dc.unprojectInv(double, double, double, int[], Vector4d), Matrix4dc.unproject(double, double, double, int[], Vector4d), Matrix4dc.invert(Matrix4d)
  - unprojectRay
```
public Matrix4d unprojectRay(double winX,
                             double winY,
                             int[] viewport,
                             Vector3d originDest,
                             Vector3d dirDest)
```
    Description copied from interface: Matrix4dc
    
    Unproject the given 2D window coordinates (winX, winY) by this matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC z = -1.0 and goes through NDC z = +1.0.
    This method first converts the given window coordinates to normalized device coordinates in the range [-1..1] and then transforms those NDC coordinates by the inverse of this matrix.
    As a necessary computation step for unprojecting, this method computes the inverse of this matrix. In order to avoid computing the matrix inverse with every invocation, the inverse of this matrix can be built once outside using Matrix4dc.invert(Matrix4d) and then the method unprojectInvRay() can be invoked on it.
    
    Specified by:
    
    unprojectRay in interface Matrix4dc
    
    Parameters:
    
    winX - the x-coordinate in window coordinates (pixels)
    
    winY - the y-coordinate in window coordinates (pixels)
    
    viewport - the viewport described by [x, y, width, height]
    
    originDest - will hold the ray origin
    
    dirDest - will hold the (unnormalized) ray direction
    
    Returns:
    
    this
    
    See Also:
    
    Matrix4dc.unprojectInvRay(double, double, int[], Vector3d, Vector3d), Matrix4dc.invert(Matrix4d)
  - unprojectRay
```
public Matrix4d unprojectRay(Vector2dc winCoords,
                             int[] viewport,
                             Vector3d originDest,
                             Vector3d dirDest)
```
    Description copied from interface: Matrix4dc
    
    Unproject the given 2D window coordinates winCoords by this matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC z = -1.0 and goes through NDC z = +1.0.
    This method first converts the given window coordinates to normalized device coordinates in the range [-1..1] and then transforms those NDC coordinates by the inverse of this matrix.
    As a necessary computation step for unprojecting, this method computes the inverse of this matrix. In order to avoid computing the matrix inverse with every invocation, the inverse of this matrix can be built once outside using Matrix4dc.invert(Matrix4d) and then the method unprojectInvRay() can be invoked on it.
    
    Specified by:
    
    unprojectRay in interface Matrix4dc
    
    Parameters:
    
    winCoords - the window coordinates to unproject
    
    viewport - the viewport described by [x, y, width, height]
    
    originDest - will hold the ray origin
    
    dirDest - will hold the (unnormalized) ray direction
    
    Returns:
    
    this
    
    See Also:
    
    Matrix4dc.unprojectInvRay(double, double, int[], Vector3d, Vector3d), Matrix4dc.unprojectRay(double, double, int[], Vector3d, Vector3d), Matrix4dc.invert(Matrix4d)
  - unprojectInv
```
public Vector4d unprojectInv(Vector3dc winCoords,
                             int[] viewport,
                             Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    Unproject the given window 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.
    This method first converts the given window coordinates to normalized device coordinates in the range [-1..1] and then transforms those NDC coordinates by this matrix.
    The depth range of winCoords.z is assumed to be [0..1], which is also the OpenGL default.
    
    Specified by:
    
    unprojectInv in interface Matrix4dc
    
    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:
    
    Matrix4dc.unproject(Vector3dc, int[], Vector4d)
  - unprojectInv
```
public Vector4d unprojectInv(double winX,
                             double winY,
                             double winZ,
                             int[] viewport,
                             Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    Unproject the given window coordinates (winX, winY, winZ) 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.
    This method first converts the given window coordinates to normalized device coordinates in the range [-1..1] and then transforms those NDC coordinates by this matrix.
    The depth range of winZ is assumed to be [0..1], which is also the OpenGL default.
    
    Specified by:
    
    unprojectInv in interface Matrix4dc
    
    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:
    
    Matrix4dc.unproject(double, double, double, int[], Vector4d)
  - unprojectInv
```
public Vector3d unprojectInv(Vector3dc winCoords,
                             int[] viewport,
                             Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Unproject the given window 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.
    This method first converts the given window coordinates to normalized device coordinates in the range [-1..1] and then transforms those NDC coordinates by this matrix.
    The depth range of winCoords.z is assumed to be [0..1], which is also the OpenGL default.
    
    Specified by:
    
    unprojectInv in interface Matrix4dc
    
    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:
    
    Matrix4dc.unproject(Vector3dc, int[], Vector3d)
  - unprojectInv
```
public Vector3d unprojectInv(double winX,
                             double winY,
                             double winZ,
                             int[] viewport,
                             Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Unproject the given window coordinates (winX, winY, winZ) 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.
    This method first converts the given window coordinates to normalized device coordinates in the range [-1..1] and then transforms those NDC coordinates by this matrix.
    The depth range of winZ is assumed to be [0..1], which is also the OpenGL default.
    
    Specified by:
    
    unprojectInv in interface Matrix4dc
    
    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:
    
    Matrix4dc.unproject(double, double, double, int[], Vector3d)
  - unprojectInvRay
```
public Matrix4d unprojectInvRay(Vector2dc winCoords,
                                int[] viewport,
                                Vector3d originDest,
                                Vector3d dirDest)
```
    Description copied from interface: Matrix4dc
    
    Unproject the given window coordinates winCoords by this matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC z = -1.0 and goes through NDC z = +1.0.
    This method differs from unprojectRay() 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.
    
    Specified by:
    
    unprojectInvRay in interface Matrix4dc
    
    Parameters:
    
    winCoords - the window coordinates to unproject
    
    viewport - the viewport described by [x, y, width, height]
    
    originDest - will hold the ray origin
    
    dirDest - will hold the (unnormalized) ray direction
    
    Returns:
    
    this
    
    See Also:
    
    Matrix4dc.unprojectRay(Vector2dc, int[], Vector3d, Vector3d)
  - unprojectInvRay
```
public Matrix4d unprojectInvRay(double winX,
                                double winY,
                                int[] viewport,
                                Vector3d originDest,
                                Vector3d dirDest)
```
    Description copied from interface: Matrix4dc
    
    Unproject the given 2D window coordinates (winX, winY) by this matrix using the specified viewport and compute the origin and the direction of the resulting ray which starts at NDC z = -1.0 and goes through NDC z = +1.0.
    This method differs from unprojectRay() 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.
    
    Specified by:
    
    unprojectInvRay in interface Matrix4dc
    
    Parameters:
    
    winX - the x-coordinate in window coordinates (pixels)
    
    winY - the y-coordinate in window coordinates (pixels)
    
    viewport - the viewport described by [x, y, width, height]
    
    originDest - will hold the ray origin
    
    dirDest - will hold the (unnormalized) ray direction
    
    Returns:
    
    this
    
    See Also:
    
    Matrix4dc.unprojectRay(double, double, int[], Vector3d, Vector3d)
  - project
```
public Vector4d project(double x,
                        double y,
                        double z,
                        int[] viewport,
                        Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    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.
    
    Specified by:
    
    project in interface Matrix4dc
    
    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]
    
    dest - will hold the projected window coordinates
    
    Returns:
    
    winCoordsDest
  - project
```
public Vector3d project(double x,
                        double y,
                        double z,
                        int[] viewport,
                        Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    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.
    
    Specified by:
    
    project in interface Matrix4dc
    
    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]
    
    dest - will hold the projected window coordinates
    
    Returns:
    
    winCoordsDest
  - project
```
public Vector4d project(Vector3dc position,
                        int[] viewport,
                        Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    Project the 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.
    
    Specified by:
    
    project in interface Matrix4dc
    
    Parameters:
    
    position - the position to project into window coordinates
    
    viewport - the viewport described by [x, y, width, height]
    
    dest - will hold the projected window coordinates
    
    Returns:
    
    winCoordsDest
    
    See Also:
    
    Matrix4dc.project(double, double, double, int[], Vector4d)
  - project
```
public Vector3d project(Vector3dc position,
                        int[] viewport,
                        Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    Project the 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.
    
    Specified by:
    
    project in interface Matrix4dc
    
    Parameters:
    
    position - the position to project into window coordinates
    
    viewport - the viewport described by [x, y, width, height]
    
    dest - will hold the projected window coordinates
    
    Returns:
    
    winCoordsDest
    
    See Also:
    
    Matrix4dc.project(double, double, double, int[], Vector4d)
  - reflect
```
public Matrix4d reflect(double a,
                        double b,
                        double c,
                        double d,
                        Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the equation x*a + y*b + z*c + d = 0 and store the result in dest.
    The vector (a, b, c) must be a unit vector.
    If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!
    Reference: msdn.microsoft.com
    
    Specified by:
    
    reflect in interface Matrix4dc
    
    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 Matrix4d reflect(double a,
                        double b,
                        double c,
                        double d)
```
    Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the 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 Matrix4d reflect(double nx,
                        double ny,
                        double nz,
                        double px,
                        double py,
                        double pz)
```
    Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.
    If M 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 Matrix4d reflect(double nx,
                        double ny,
                        double nz,
                        double px,
                        double py,
                        double pz,
                        Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in dest.
    If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!
    
    Specified by:
    
    reflect in interface Matrix4dc
    
    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 Matrix4d reflect(Vector3dc normal,
                        Vector3dc point)
```
    Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane.
    If M 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 Matrix4d reflect(Quaterniondc orientation,
                        Vector3dc point)
```
    Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane.
    This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is (0, 0, 1). So, if the given Quaterniondc is the identity (does not apply any additional rotation), the reflection plane will be z=0, offset by the given point.
    If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!
    
    Parameters:
    
    orientation - the plane orientation relative to an implied normal vector of (0, 0, 1)
    
    point - a point on the plane
    
    Returns:
    
    this
  - reflect
```
public Matrix4d reflect(Quaterniondc orientation,
                        Vector3dc point,
                        Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply a mirror/reflection transformation to this matrix that reflects about a plane specified via the plane orientation and a point on the plane, and store the result in dest.
    This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is (0, 0, 1). So, if the given Quaterniondc is the identity (does not apply any additional rotation), the reflection plane will be z=0, offset by the given point.
    If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!
    
    Specified by:
    
    reflect in interface Matrix4dc
    
    Parameters:
    
    orientation - the plane orientation
    
    point - a point on the plane
    
    dest - will hold the result
    
    Returns:
    
    dest
  - reflect
```
public Matrix4d reflect(Vector3dc normal,
                        Vector3dc point,
                        Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply a mirror/reflection transformation to this matrix that reflects about the given plane specified via the plane normal and a point on the plane, and store the result in dest.
    If M is this matrix and R the reflection matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v, the reflection will be applied first!
    
    Specified by:
    
    reflect in interface Matrix4dc
    
    Parameters:
    
    normal - the plane normal
    
    point - a point on the plane
    
    dest - will hold the result
    
    Returns:
    
    dest
  - reflection
```
public Matrix4d reflection(double a,
                           double b,
                           double c,
                           double d)
```
    Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the 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 Matrix4d reflection(double nx,
                           double ny,
                           double nz,
                           double px,
                           double py,
                           double pz)
```
    Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.
    
    Parameters:
    
    nx - the 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 Matrix4d reflection(Vector3dc normal,
                           Vector3dc point)
```
    Set this matrix to a mirror/reflection transformation that reflects about the given plane specified via the plane normal and a point on the plane.
    
    Parameters:
    
    normal - the plane normal
    
    point - a point on the plane
    
    Returns:
    
    this
  - reflection
```
public Matrix4d reflection(Quaterniondc orientation,
                           Vector3dc point)
```
    Set this matrix to a mirror/reflection transformation that reflects about a plane specified via the plane orientation and a point on the plane.
    This method can be used to build a reflection transformation based on the orientation of a mirror object in the scene. It is assumed that the default mirror plane's normal is (0, 0, 1). So, if the given Quaterniondc is the identity (does not apply any additional rotation), the reflection plane will be z=0, offset by the given point.
    
    Parameters:
    
    orientation - the plane orientation
    
    point - a point on the plane
    
    Returns:
    
    this
  - ortho
```
public Matrix4d ortho(double left,
                      double right,
                      double bottom,
                      double top,
                      double zNear,
                      double zFar,
                      boolean zZeroToOne,
                      Matrix4d dest)
```
    Apply an orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().
    Reference: http://www.songho.ca
    
    Specified by:
    
    ortho in interface Matrix4dc
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setOrtho(double, double, double, double, double, double, boolean)
  - ortho
```
public Matrix4d ortho(double left,
                      double right,
                      double bottom,
                      double top,
                      double zNear,
                      double zFar,
                      Matrix4d dest)
```
    Apply an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().
    Reference: http://www.songho.ca
    
    Specified by:
    
    ortho in interface Matrix4dc
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setOrtho(double, double, double, double, double, double)
  - ortho
```
public Matrix4d ortho(double left,
                      double right,
                      double bottom,
                      double top,
                      double zNear,
                      double zFar,
                      boolean zZeroToOne)
```
    Apply an orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    setOrtho(double, double, double, double, double, double, boolean)
  - ortho
```
public Matrix4d ortho(double left,
                      double right,
                      double bottom,
                      double top,
                      double zNear,
                      double zFar)
```
    Apply an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    Returns:
    
    this
    
    See Also:
    
    setOrtho(double, double, double, double, double, double)
  - orthoLH
```
public Matrix4d orthoLH(double left,
                        double right,
                        double bottom,
                        double top,
                        double zNear,
                        double zFar,
                        boolean zZeroToOne,
                        Matrix4d dest)
```
    Apply an orthographic projection transformation for a left-handed coordiante system using the given NDC z range to this matrix and store the result in dest.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().
    Reference: http://www.songho.ca
    
    Specified by:
    
    orthoLH in interface Matrix4dc
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setOrthoLH(double, double, double, double, double, double, boolean)
  - orthoLH
```
public Matrix4d orthoLH(double left,
                        double right,
                        double bottom,
                        double top,
                        double zNear,
                        double zFar,
                        Matrix4d dest)
```
    Apply an orthographic projection transformation for a left-handed coordiante system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().
    Reference: http://www.songho.ca
    
    Specified by:
    
    orthoLH in interface Matrix4dc
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setOrthoLH(double, double, double, double, double, double)
  - orthoLH
```
public Matrix4d orthoLH(double left,
                        double right,
                        double bottom,
                        double top,
                        double zNear,
                        double zFar,
                        boolean zZeroToOne)
```
    Apply an orthographic projection transformation for a left-handed coordiante system using the given NDC z range to this matrix.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    setOrthoLH(double, double, double, double, double, double, boolean)
  - orthoLH
```
public Matrix4d orthoLH(double left,
                        double right,
                        double bottom,
                        double top,
                        double zNear,
                        double zFar)
```
    Apply an orthographic projection transformation for a left-handed coordiante system using OpenGL's NDC z range of [-1..+1] to this matrix.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    Returns:
    
    this
    
    See Also:
    
    setOrthoLH(double, double, double, double, double, double)
  - setOrtho
```
public Matrix4d setOrtho(double left,
                         double right,
                         double bottom,
                         double top,
                         double zNear,
                         double zFar,
                         boolean zZeroToOne)
```
    Set this matrix to be an orthographic projection transformation for a right-handed coordinate system using the given NDC z range.
    In order to apply the orthographic projection to an already existing transformation, use ortho().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    ortho(double, double, double, double, double, double, boolean)
  - setOrtho
```
public Matrix4d setOrtho(double left,
                         double right,
                         double bottom,
                         double top,
                         double zNear,
                         double zFar)
```
    Set this matrix to be an orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
    In order to apply the orthographic projection to an already existing transformation, use ortho().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    Returns:
    
    this
    
    See Also:
    
    ortho(double, double, double, double, double, double)
  - setOrthoLH
```
public Matrix4d setOrthoLH(double left,
                           double right,
                           double bottom,
                           double top,
                           double zNear,
                           double zFar,
                           boolean zZeroToOne)
```
    Set this matrix to be an orthographic projection transformation for a left-handed coordinate system using the given NDC z range.
    In order to apply the orthographic projection to an already existing transformation, use orthoLH().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    orthoLH(double, double, double, double, double, double, boolean)
  - setOrthoLH
```
public Matrix4d setOrthoLH(double left,
                           double right,
                           double bottom,
                           double top,
                           double zNear,
                           double zFar)
```
    Set this matrix to be an orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].
    In order to apply the orthographic projection to an already existing transformation, use orthoLH().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    Returns:
    
    this
    
    See Also:
    
    orthoLH(double, double, double, double, double, double)
  - orthoSymmetric
```
public Matrix4d orthoSymmetric(double width,
                               double height,
                               double zNear,
                               double zFar,
                               boolean zZeroToOne,
                               Matrix4d dest)
```
    Apply a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
    This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().
    Reference: http://www.songho.ca
    
    Specified by:
    
    orthoSymmetric in interface Matrix4dc
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    dest - will hold the result
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    dest
    
    See Also:
    
    setOrthoSymmetric(double, double, double, double, boolean)
  - orthoSymmetric
```
public Matrix4d orthoSymmetric(double width,
                               double height,
                               double zNear,
                               double zFar,
                               Matrix4d dest)
```
    Apply a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
    This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().
    Reference: http://www.songho.ca
    
    Specified by:
    
    orthoSymmetric in interface Matrix4dc
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setOrthoSymmetric(double, double, double, double)
  - orthoSymmetric
```
public Matrix4d orthoSymmetric(double width,
                               double height,
                               double zNear,
                               double zFar,
                               boolean zZeroToOne)
```
    Apply a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range to this matrix.
    This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().
    Reference: http://www.songho.ca
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    setOrthoSymmetric(double, double, double, double, boolean)
  - orthoSymmetric
```
public Matrix4d orthoSymmetric(double width,
                               double height,
                               double zNear,
                               double zFar)
```
    Apply a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
    This method is equivalent to calling ortho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetric().
    Reference: http://www.songho.ca
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    Returns:
    
    this
    
    See Also:
    
    setOrthoSymmetric(double, double, double, double)
  - orthoSymmetricLH
```
public Matrix4d orthoSymmetricLH(double width,
                                 double height,
                                 double zNear,
                                 double zFar,
                                 boolean zZeroToOne,
                                 Matrix4d dest)
```
    Apply a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
    This method is equivalent to calling orthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetricLH().
    Reference: http://www.songho.ca
    
    Specified by:
    
    orthoSymmetricLH in interface Matrix4dc
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    dest - will hold the result
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    dest
    
    See Also:
    
    setOrthoSymmetricLH(double, double, double, double, boolean)
  - orthoSymmetricLH
```
public Matrix4d orthoSymmetricLH(double width,
                                 double height,
                                 double zNear,
                                 double zFar,
                                 Matrix4d dest)
```
    Apply a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
    This method is equivalent to calling orthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetricLH().
    Reference: http://www.songho.ca
    
    Specified by:
    
    orthoSymmetricLH in interface Matrix4dc
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setOrthoSymmetricLH(double, double, double, double)
  - orthoSymmetricLH
```
public Matrix4d orthoSymmetricLH(double width,
                                 double height,
                                 double zNear,
                                 double zFar,
                                 boolean zZeroToOne)
```
    Apply a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range to this matrix.
    This method is equivalent to calling orthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetricLH().
    Reference: http://www.songho.ca
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    setOrthoSymmetricLH(double, double, double, double, boolean)
  - orthoSymmetricLH
```
public Matrix4d orthoSymmetricLH(double width,
                                 double height,
                                 double zNear,
                                 double zFar)
```
    Apply a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
    This method is equivalent to calling orthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to a symmetric orthographic projection without post-multiplying it, use setOrthoSymmetricLH().
    Reference: http://www.songho.ca
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    Returns:
    
    this
    
    See Also:
    
    setOrthoSymmetricLH(double, double, double, double)
  - setOrthoSymmetric
```
public Matrix4d setOrthoSymmetric(double width,
                                  double height,
                                  double zNear,
                                  double zFar,
                                  boolean zZeroToOne)
```
    Set this matrix to be a symmetric orthographic projection transformation for a right-handed coordinate system using the given NDC z range.
    This method is equivalent to calling setOrtho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    In order to apply the symmetric orthographic projection to an already existing transformation, use orthoSymmetric().
    Reference: http://www.songho.ca
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    orthoSymmetric(double, double, double, double, boolean)
  - setOrthoSymmetric
```
public Matrix4d setOrthoSymmetric(double width,
                                  double height,
                                  double zNear,
                                  double zFar)
```
    Set this matrix to be a symmetric orthographic projection transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
    This method is equivalent to calling setOrtho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    In order to apply the symmetric orthographic projection to an already existing transformation, use orthoSymmetric().
    Reference: http://www.songho.ca
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    Returns:
    
    this
    
    See Also:
    
    orthoSymmetric(double, double, double, double)
  - setOrthoSymmetricLH
```
public Matrix4d setOrthoSymmetricLH(double width,
                                    double height,
                                    double zNear,
                                    double zFar,
                                    boolean zZeroToOne)
```
    Set this matrix to be a symmetric orthographic projection transformation for a left-handed coordinate system using the given NDC z range.
    This method is equivalent to calling setOrtho() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    In order to apply the symmetric orthographic projection to an already existing transformation, use orthoSymmetricLH().
    Reference: http://www.songho.ca
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    orthoSymmetricLH(double, double, double, double, boolean)
  - setOrthoSymmetricLH
```
public Matrix4d setOrthoSymmetricLH(double width,
                                    double height,
                                    double zNear,
                                    double zFar)
```
    Set this matrix to be a symmetric orthographic projection transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].
    This method is equivalent to calling setOrthoLH() with left=-width/2, right=+width/2, bottom=-height/2 and top=+height/2.
    In order to apply the symmetric orthographic projection to an already existing transformation, use orthoSymmetricLH().
    Reference: http://www.songho.ca
    
    Parameters:
    
    width - the distance between the right and left frustum edges
    
    height - the distance between the top and bottom frustum edges
    
    zNear - near clipping plane distance
    
    zFar - far clipping plane distance
    
    Returns:
    
    this
    
    See Also:
    
    orthoSymmetricLH(double, double, double, double)
  - ortho2D
```
public Matrix4d ortho2D(double left,
                        double right,
                        double bottom,
                        double top,
                        Matrix4d dest)
```
    Apply an orthographic projection transformation for a right-handed coordinate system to this matrix and store the result in dest.
    This method is equivalent to calling ortho() with zNear=-1 and zFar=+1.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho().
    Reference: http://www.songho.ca
    
    Specified by:
    
    ortho2D in interface Matrix4dc
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    ortho(double, double, double, double, double, double, Matrix4d), setOrtho2D(double, double, double, double)
  - ortho2D
```
public Matrix4d ortho2D(double left,
                        double right,
                        double bottom,
                        double top)
```
    Apply an orthographic projection transformation for a right-handed coordinate system to this matrix.
    This method is equivalent to calling ortho() with zNear=-1 and zFar=+1.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho2D().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    Returns:
    
    this
    
    See Also:
    
    ortho(double, double, double, double, double, double), setOrtho2D(double, double, double, double)
  - ortho2DLH
```
public Matrix4d ortho2DLH(double left,
                          double right,
                          double bottom,
                          double top,
                          Matrix4d dest)
```
    Apply an orthographic projection transformation for a left-handed coordinate system to this matrix and store the result in dest.
    This method is equivalent to calling orthoLH() with zNear=-1 and zFar=+1.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrthoLH().
    Reference: http://www.songho.ca
    
    Specified by:
    
    ortho2DLH in interface Matrix4dc
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    orthoLH(double, double, double, double, double, double, Matrix4d), setOrtho2DLH(double, double, double, double)
  - ortho2DLH
```
public Matrix4d ortho2DLH(double left,
                          double right,
                          double bottom,
                          double top)
```
    Apply an orthographic projection transformation for a left-handed coordinate system to this matrix.
    This method is equivalent to calling orthoLH() with zNear=-1 and zFar=+1.
    If M is this matrix and O the orthographic projection matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the orthographic projection transformation will be applied first!
    In order to set the matrix to an orthographic projection without post-multiplying it, use setOrtho2DLH().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    Returns:
    
    this
    
    See Also:
    
    orthoLH(double, double, double, double, double, double), setOrtho2DLH(double, double, double, double)
  - setOrtho2D
```
public Matrix4d setOrtho2D(double left,
                           double right,
                           double bottom,
                           double top)
```
    Set this matrix to be an orthographic projection transformation for a right-handed coordinate system.
    This method is equivalent to calling setOrtho() with zNear=-1 and zFar=+1.
    In order to apply the orthographic projection to an already existing transformation, use ortho2D().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    Returns:
    
    this
    
    See Also:
    
    setOrtho(double, double, double, double, double, double), ortho2D(double, double, double, double)
  - setOrtho2DLH
```
public Matrix4d setOrtho2DLH(double left,
                             double right,
                             double bottom,
                             double top)
```
    Set this matrix to be an orthographic projection transformation for a left-handed coordinate system.
    This method is equivalent to calling setOrthoLH() with zNear=-1 and zFar=+1.
    In order to apply the orthographic projection to an already existing transformation, use ortho2DLH().
    Reference: http://www.songho.ca
    
    Parameters:
    
    left - the distance from the center to the left frustum edge
    
    right - the distance from the center to the right frustum edge
    
    bottom - the distance from the center to the bottom frustum edge
    
    top - the distance from the center to the top frustum edge
    
    Returns:
    
    this
    
    See Also:
    
    setOrthoLH(double, double, double, double, double, double), ortho2DLH(double, double, double, double)
  - lookAlong
```
public Matrix4d lookAlong(Vector3dc dir,
                          Vector3dc up)
```
    Apply a rotation transformation to this matrix to make -z point along dir.
    If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!
    This is equivalent to calling lookAt with eye = (0, 0, 0) and center = dir.
    In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong().
    
    Parameters:
    
    dir - the direction in space to look along
    
    up - the direction of 'up'
    
    Returns:
    
    this
    
    See Also:
    
    lookAlong(double, double, double, double, double, double), lookAt(Vector3dc, Vector3dc, Vector3dc), setLookAlong(Vector3dc, Vector3dc)
  - lookAlong
```
public Matrix4d lookAlong(Vector3dc dir,
                          Vector3dc up,
                          Matrix4d dest)
```
    Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.
    If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!
    This is equivalent to calling lookAt with eye = (0, 0, 0) and center = dir.
    In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong().
    
    Specified by:
    
    lookAlong in interface Matrix4dc
    
    Parameters:
    
    dir - the direction in space to look along
    
    up - the direction of 'up'
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    lookAlong(double, double, double, double, double, double), lookAt(Vector3dc, Vector3dc, Vector3dc), setLookAlong(Vector3dc, Vector3dc)
  - lookAlong
```
public Matrix4d lookAlong(double dirX,
                          double dirY,
                          double dirZ,
                          double upX,
                          double upY,
                          double upZ,
                          Matrix4d dest)
```
    Apply a rotation transformation to this matrix to make -z point along dir and store the result in dest.
    If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!
    This is equivalent to calling lookAt() with eye = (0, 0, 0) and center = dir.
    In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong()
    
    Specified by:
    
    lookAlong in interface Matrix4dc
    
    Parameters:
    
    dirX - the x-coordinate of the direction to look along
    
    dirY - the y-coordinate of the direction to look along
    
    dirZ - the z-coordinate of the direction to look along
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    lookAt(double, double, double, double, double, double, double, double, double), setLookAlong(double, double, double, double, double, double)
  - lookAlong
```
public Matrix4d lookAlong(double dirX,
                          double dirY,
                          double dirZ,
                          double upX,
                          double upY,
                          double upZ)
```
    Apply a rotation transformation to this matrix to make -z point along dir.
    If M is this matrix and L the lookalong rotation matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookalong rotation transformation will be applied first!
    This is equivalent to calling lookAt() with eye = (0, 0, 0) and center = dir.
    In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong()
    
    Parameters:
    
    dirX - the x-coordinate of the direction to look along
    
    dirY - the y-coordinate of the direction to look along
    
    dirZ - the z-coordinate of the direction to look along
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    Returns:
    
    this
    
    See Also:
    
    lookAt(double, double, double, double, double, double, double, double, double), setLookAlong(double, double, double, double, double, double)
  - setLookAlong
```
public Matrix4d setLookAlong(Vector3dc dir,
                             Vector3dc up)
```
    Set this matrix to a rotation transformation to make -z point along dir.
    This is equivalent to calling setLookAt() with eye = (0, 0, 0) and center = dir.
    In order to apply the lookalong transformation to any previous existing transformation, use lookAlong(Vector3dc, Vector3dc).
    
    Parameters:
    
    dir - the direction in space to look along
    
    up - the direction of 'up'
    
    Returns:
    
    this
    
    See Also:
    
    setLookAlong(Vector3dc, Vector3dc), lookAlong(Vector3dc, Vector3dc)
  - setLookAlong
```
public Matrix4d setLookAlong(double dirX,
                             double dirY,
                             double dirZ,
                             double upX,
                             double upY,
                             double upZ)
```
    Set this matrix to a rotation transformation to make -z point along dir.
    This is equivalent to calling setLookAt() with eye = (0, 0, 0) and center = dir.
    In order to apply the lookalong transformation to any previous existing transformation, use lookAlong()
    
    Parameters:
    
    dirX - the x-coordinate of the direction to look along
    
    dirY - the y-coordinate of the direction to look along
    
    dirZ - the z-coordinate of the direction to look along
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    Returns:
    
    this
    
    See Also:
    
    setLookAlong(double, double, double, double, double, double), lookAlong(double, double, double, double, double, double)
  - setLookAt
```
public Matrix4d setLookAt(Vector3dc eye,
                          Vector3dc center,
                          Vector3dc up)
```
    Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns -z with center - eye.
    In order to not make use of vectors to specify eye, center and up but use primitives, like in the GLU function, use setLookAt() instead.
    In order to apply the lookat transformation to a previous existing transformation, use lookAt().
    
    Parameters:
    
    eye - the position of the camera
    
    center - the point in space to look at
    
    up - the direction of 'up'
    
    Returns:
    
    this
    
    See Also:
    
    setLookAt(double, double, double, double, double, double, double, double, double), lookAt(Vector3dc, Vector3dc, Vector3dc)
  - setLookAt
```
public Matrix4d setLookAt(double eyeX,
                          double eyeY,
                          double eyeZ,
                          double centerX,
                          double centerY,
                          double centerZ,
                          double upX,
                          double upY,
                          double upZ)
```
    Set this matrix to be a "lookat" transformation for a right-handed coordinate system, that aligns -z with center - eye.
    In order to apply the lookat transformation to a previous existing transformation, use lookAt.
    
    Parameters:
    
    eyeX - the x-coordinate of the eye/camera location
    
    eyeY - the y-coordinate of the eye/camera location
    
    eyeZ - the z-coordinate of the eye/camera location
    
    centerX - the x-coordinate of the point to look at
    
    centerY - the y-coordinate of the point to look at
    
    centerZ - the z-coordinate of the point to look at
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    Returns:
    
    this
    
    See Also:
    
    setLookAt(Vector3dc, Vector3dc, Vector3dc), lookAt(double, double, double, double, double, double, double, double, double)
  - lookAt
```
public Matrix4d lookAt(Vector3dc eye,
                       Vector3dc center,
                       Vector3dc up,
                       Matrix4d dest)
```
    Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt(Vector3dc, Vector3dc, Vector3dc).
    
    Specified by:
    
    lookAt in interface Matrix4dc
    
    Parameters:
    
    eye - the position of the camera
    
    center - the point in space to look at
    
    up - the direction of 'up'
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    lookAt(double, double, double, double, double, double, double, double, double), setLookAlong(Vector3dc, Vector3dc)
  - lookAt
```
public Matrix4d lookAt(Vector3dc eye,
                       Vector3dc center,
                       Vector3dc up)
```
    Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt(Vector3dc, Vector3dc, Vector3dc).
    
    Parameters:
    
    eye - the position of the camera
    
    center - the point in space to look at
    
    up - the direction of 'up'
    
    Returns:
    
    this
    
    See Also:
    
    lookAt(double, double, double, double, double, double, double, double, double), setLookAlong(Vector3dc, Vector3dc)
  - lookAt
```
public Matrix4d lookAt(double eyeX,
                       double eyeY,
                       double eyeZ,
                       double centerX,
                       double centerY,
                       double centerZ,
                       double upX,
                       double upY,
                       double upZ,
                       Matrix4d dest)
```
    Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt().
    
    Specified by:
    
    lookAt in interface Matrix4dc
    
    Parameters:
    
    eyeX - the x-coordinate of the eye/camera location
    
    eyeY - the y-coordinate of the eye/camera location
    
    eyeZ - the z-coordinate of the eye/camera location
    
    centerX - the x-coordinate of the point to look at
    
    centerY - the y-coordinate of the point to look at
    
    centerZ - the z-coordinate of the point to look at
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    lookAt(Vector3dc, Vector3dc, Vector3dc), setLookAt(double, double, double, double, double, double, double, double, double)
  - lookAt
```
public Matrix4d lookAt(double eyeX,
                       double eyeY,
                       double eyeZ,
                       double centerX,
                       double centerY,
                       double centerZ,
                       double upX,
                       double upY,
                       double upZ)
```
    Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt().
    
    Parameters:
    
    eyeX - the x-coordinate of the eye/camera location
    
    eyeY - the y-coordinate of the eye/camera location
    
    eyeZ - the z-coordinate of the eye/camera location
    
    centerX - the x-coordinate of the point to look at
    
    centerY - the y-coordinate of the point to look at
    
    centerZ - the z-coordinate of the point to look at
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    Returns:
    
    this
    
    See Also:
    
    lookAt(Vector3dc, Vector3dc, Vector3dc), setLookAt(double, double, double, double, double, double, double, double, double)
  - lookAtPerspective
```
public Matrix4d lookAtPerspective(double eyeX,
                                  double eyeY,
                                  double eyeZ,
                                  double centerX,
                                  double centerY,
                                  double centerZ,
                                  double upX,
                                  double upY,
                                  double upZ,
                                  Matrix4d dest)
```
    Apply a "lookat" transformation to this matrix for a right-handed coordinate system, that aligns -z with center - eye and store the result in dest.
    This method assumes this to be a perspective transformation, obtained via frustum() or perspective() or one of their overloads.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAt().
    
    Specified by:
    
    lookAtPerspective in interface Matrix4dc
    
    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:
    
    setLookAt(double, double, double, double, double, double, double, double, double)
  - setLookAtLH
```
public Matrix4d setLookAtLH(Vector3dc eye,
                            Vector3dc center,
                            Vector3dc up)
```
    Set this matrix to be a "lookat" transformation for a left-handed coordinate system, that aligns +z with center - eye.
    In order to not make use of vectors to specify eye, center and up but use primitives, like in the GLU function, use setLookAtLH() instead.
    In order to apply the lookat transformation to a previous existing transformation, use lookAt().
    
    Parameters:
    
    eye - the position of the camera
    
    center - the point in space to look at
    
    up - the direction of 'up'
    
    Returns:
    
    this
    
    See Also:
    
    setLookAtLH(double, double, double, double, double, double, double, double, double), lookAtLH(Vector3dc, Vector3dc, Vector3dc)
  - setLookAtLH
```
public Matrix4d setLookAtLH(double eyeX,
                            double eyeY,
                            double eyeZ,
                            double centerX,
                            double centerY,
                            double centerZ,
                            double upX,
                            double upY,
                            double upZ)
```
    Set this matrix to be a "lookat" transformation for a left-handed coordinate system, that aligns +z with center - eye.
    In order to apply the lookat transformation to a previous existing transformation, use lookAtLH.
    
    Parameters:
    
    eyeX - the x-coordinate of the eye/camera location
    
    eyeY - the y-coordinate of the eye/camera location
    
    eyeZ - the z-coordinate of the eye/camera location
    
    centerX - the x-coordinate of the point to look at
    
    centerY - the y-coordinate of the point to look at
    
    centerZ - the z-coordinate of the point to look at
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    Returns:
    
    this
    
    See Also:
    
    setLookAtLH(Vector3dc, Vector3dc, Vector3dc), lookAtLH(double, double, double, double, double, double, double, double, double)
  - lookAtLH
```
public Matrix4d lookAtLH(Vector3dc eye,
                         Vector3dc center,
                         Vector3dc up,
                         Matrix4d dest)
```
    Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye and store the result in dest.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH(Vector3dc, Vector3dc, Vector3dc).
    
    Specified by:
    
    lookAtLH in interface Matrix4dc
    
    Parameters:
    
    eye - the position of the camera
    
    center - the point in space to look at
    
    up - the direction of 'up'
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    lookAtLH(double, double, double, double, double, double, double, double, double), setLookAtLH(Vector3dc, Vector3dc, Vector3dc)
  - lookAtLH
```
public Matrix4d lookAtLH(Vector3dc eye,
                         Vector3dc center,
                         Vector3dc up)
```
    Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH(Vector3dc, Vector3dc, Vector3dc).
    
    Parameters:
    
    eye - the position of the camera
    
    center - the point in space to look at
    
    up - the direction of 'up'
    
    Returns:
    
    this
    
    See Also:
    
    lookAtLH(double, double, double, double, double, double, double, double, double)
  - lookAtLH
```
public Matrix4d lookAtLH(double eyeX,
                         double eyeY,
                         double eyeZ,
                         double centerX,
                         double centerY,
                         double centerZ,
                         double upX,
                         double upY,
                         double upZ,
                         Matrix4d dest)
```
    Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye and store the result in dest.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH().
    
    Specified by:
    
    lookAtLH in interface Matrix4dc
    
    Parameters:
    
    eyeX - the x-coordinate of the eye/camera location
    
    eyeY - the y-coordinate of the eye/camera location
    
    eyeZ - the z-coordinate of the eye/camera location
    
    centerX - the x-coordinate of the point to look at
    
    centerY - the y-coordinate of the point to look at
    
    centerZ - the z-coordinate of the point to look at
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    lookAtLH(Vector3dc, Vector3dc, Vector3dc), setLookAtLH(double, double, double, double, double, double, double, double, double)
  - lookAtLH
```
public Matrix4d lookAtLH(double eyeX,
                         double eyeY,
                         double eyeZ,
                         double centerX,
                         double centerY,
                         double centerZ,
                         double upX,
                         double upY,
                         double upZ)
```
    Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH().
    
    Parameters:
    
    eyeX - the x-coordinate of the eye/camera location
    
    eyeY - the y-coordinate of the eye/camera location
    
    eyeZ - the z-coordinate of the eye/camera location
    
    centerX - the x-coordinate of the point to look at
    
    centerY - the y-coordinate of the point to look at
    
    centerZ - the z-coordinate of the point to look at
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    Returns:
    
    this
    
    See Also:
    
    lookAtLH(Vector3dc, Vector3dc, Vector3dc), setLookAtLH(double, double, double, double, double, double, double, double, double)
  - lookAtPerspectiveLH
```
public Matrix4d lookAtPerspectiveLH(double eyeX,
                                    double eyeY,
                                    double eyeZ,
                                    double centerX,
                                    double centerY,
                                    double centerZ,
                                    double upX,
                                    double upY,
                                    double upZ,
                                    Matrix4d dest)
```
    Apply a "lookat" transformation to this matrix for a left-handed coordinate system, that aligns +z with center - eye and store the result in dest.
    This method assumes this to be a perspective transformation, obtained via frustumLH() or perspectiveLH() or one of their overloads.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a lookat transformation without post-multiplying it, use setLookAtLH().
    
    Specified by:
    
    lookAtPerspectiveLH in interface Matrix4dc
    
    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:
    
    setLookAtLH(double, double, double, double, double, double, double, double, double)
  - perspective
```
public Matrix4d perspective(double fovy,
                            double aspect,
                            double zNear,
                            double zFar,
                            boolean zZeroToOne,
                            Matrix4d dest)
```
    Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
    If M is this matrix and 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.
    
    Specified by:
    
    perspective in interface Matrix4dc
    
    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. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    dest - will hold the result
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    dest
    
    See Also:
    
    setPerspective(double, double, double, double, boolean)
  - perspective
```
public Matrix4d perspective(double fovy,
                            double aspect,
                            double zNear,
                            double zFar,
                            Matrix4d dest)
```
    Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
    If M is this matrix and 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.
    
    Specified by:
    
    perspective in interface Matrix4dc
    
    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. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setPerspective(double, double, double, double)
  - perspective
```
public Matrix4d perspective(double fovy,
                            double aspect,
                            double zNear,
                            double zFar,
                            boolean zZeroToOne)
```
    Apply a symmetric perspective projection frustum transformation using for a right-handed coordinate system the given NDC z range 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. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    setPerspective(double, double, double, double, boolean)
  - perspective
```
public Matrix4d perspective(double fovy,
                            double aspect,
                            double zNear,
                            double zFar)
```
    Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
    If M is this matrix and 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. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    Returns:
    
    this
    
    See Also:
    
    setPerspective(double, double, double, double)
  - perspectiveRect
```
public Matrix4d perspectiveRect(double width,
                                double height,
                                double zNear,
                                double zFar,
                                boolean zZeroToOne,
                                Matrix4d dest)
```
    Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
    If M is this matrix and 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 setPerspectiveRect.
    
    Specified by:
    
    perspectiveRect in interface Matrix4dc
    
    Parameters:
    
    width - the width of the near frustum plane
    
    height - the height of the near frustum plane
    
    zNear - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    dest - will hold the result
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    dest
    
    See Also:
    
    setPerspectiveRect(double, double, double, double, boolean)
  - perspectiveRect
```
public Matrix4d perspectiveRect(double width,
                                double height,
                                double zNear,
                                double zFar,
                                Matrix4d dest)
```
    Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
    If M is this matrix and 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 setPerspectiveRect.
    
    Specified by:
    
    perspectiveRect in interface Matrix4dc
    
    Parameters:
    
    width - the width of the near frustum plane
    
    height - the height of the near frustum plane
    
    zNear - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setPerspectiveRect(double, double, double, double)
  - perspectiveRect
```
public Matrix4d perspectiveRect(double width,
                                double height,
                                double zNear,
                                double zFar,
                                boolean zZeroToOne)
```
    Apply a symmetric perspective projection frustum transformation using for a right-handed coordinate system the given NDC z range 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 setPerspectiveRect.
    
    Specified by:
    
    perspectiveRect in interface Matrix4dc
    
    Parameters:
    
    width - the width of the near frustum plane
    
    height - the height of the near frustum plane
    
    zNear - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    a matrix holding the result
    
    See Also:
    
    setPerspectiveRect(double, double, double, double, boolean)
  - perspectiveRect
```
public Matrix4d perspectiveRect(double width,
                                double height,
                                double zNear,
                                double zFar)
```
    Apply a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
    If M is this matrix and 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 setPerspectiveRect.
    
    Specified by:
    
    perspectiveRect in interface Matrix4dc
    
    Parameters:
    
    width - the width of the near frustum plane
    
    height - the height of the near frustum plane
    
    zNear - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    Returns:
    
    a matrix holding the result
    
    See Also:
    
    setPerspectiveRect(double, double, double, double)
  - perspectiveOffCenter
```
public Matrix4d perspectiveOffCenter(double fovy,
                                     double offAngleX,
                                     double offAngleY,
                                     double aspect,
                                     double zNear,
                                     double zFar,
                                     boolean zZeroToOne,
                                     Matrix4d dest)
```
    Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
    The given angles offAngleX and offAngleY are the horizontal and vertical angles between the line of sight and the line given by the center of the near and far frustum planes. So, when offAngleY is just fovy/2 then the projection frustum is rotated towards +Y and the bottom frustum plane is parallel to the XZ-plane.
    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 setPerspectiveOffCenter.
    
    Specified by:
    
    perspectiveOffCenter in interface Matrix4dc
    
    Parameters:
    
    fovy - the vertical field of view in radians (must be greater than zero and less than PI)
    
    offAngleX - the horizontal angle between the line of sight and the line crossing the center of the near and far frustum planes
    
    offAngleY - the vertical angle between the line of sight and the line crossing the center of the near and far frustum planes
    
    aspect - the aspect ratio (i.e. width / height; must be greater than zero)
    
    zNear - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    dest - will hold the result
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    dest
    
    See Also:
    
    setPerspectiveOffCenter(double, double, double, double, double, double, boolean)
  - perspectiveOffCenter
```
public Matrix4d perspectiveOffCenter(double fovy,
                                     double offAngleX,
                                     double offAngleY,
                                     double aspect,
                                     double zNear,
                                     double zFar,
                                     Matrix4d dest)
```
    Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
    The given angles offAngleX and offAngleY are the horizontal and vertical angles between the line of sight and the line given by the center of the near and far frustum planes. So, when offAngleY is just fovy/2 then the projection frustum is rotated towards +Y and the bottom frustum plane is parallel to the XZ-plane.
    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 setPerspectiveOffCenter.
    
    Specified by:
    
    perspectiveOffCenter in interface Matrix4dc
    
    Parameters:
    
    fovy - the vertical field of view in radians (must be greater than zero and less than PI)
    
    offAngleX - the horizontal angle between the line of sight and the line crossing the center of the near and far frustum planes
    
    offAngleY - the vertical angle between the line of sight and the line crossing the center of the near and far frustum planes
    
    aspect - the aspect ratio (i.e. width / height; must be greater than zero)
    
    zNear - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setPerspectiveOffCenter(double, double, double, double, double, double)
  - perspectiveOffCenter
```
public Matrix4d perspectiveOffCenter(double fovy,
                                     double offAngleX,
                                     double offAngleY,
                                     double aspect,
                                     double zNear,
                                     double zFar,
                                     boolean zZeroToOne)
```
    Apply an asymmetric off-center perspective projection frustum transformation using for a right-handed coordinate system the given NDC z range to this matrix.
    The given angles offAngleX and offAngleY are the horizontal and vertical angles between the line of sight and the line given by the center of the near and far frustum planes. So, when offAngleY is just fovy/2 then the projection frustum is rotated towards +Y and the bottom frustum plane is parallel to the XZ-plane.
    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 setPerspectiveOffCenter.
    
    Specified by:
    
    perspectiveOffCenter in interface Matrix4dc
    
    Parameters:
    
    fovy - the vertical field of view in radians (must be greater than zero and less than PI)
    
    offAngleX - the horizontal angle between the line of sight and the line crossing the center of the near and far frustum planes
    
    offAngleY - the vertical angle between the line of sight and the line crossing the center of the near and far frustum planes
    
    aspect - the aspect ratio (i.e. width / height; must be greater than zero)
    
    zNear - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    a matrix holding the result
    
    See Also:
    
    setPerspectiveOffCenter(double, double, double, double, double, double, boolean)
  - perspectiveOffCenter
```
public Matrix4d perspectiveOffCenter(double fovy,
                                     double offAngleX,
                                     double offAngleY,
                                     double aspect,
                                     double zNear,
                                     double zFar)
```
    Apply an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
    The given angles offAngleX and offAngleY are the horizontal and vertical angles between the line of sight and the line given by the center of the near and far frustum planes. So, when offAngleY is just fovy/2 then the projection frustum is rotated towards +Y and the bottom frustum plane is parallel to the XZ-plane.
    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 setPerspectiveOffCenter.
    
    Specified by:
    
    perspectiveOffCenter in interface Matrix4dc
    
    Parameters:
    
    fovy - the vertical field of view in radians (must be greater than zero and less than PI)
    
    offAngleX - the horizontal angle between the line of sight and the line crossing the center of the near and far frustum planes
    
    offAngleY - the vertical angle between the line of sight and the line crossing the center of the near and far frustum planes
    
    aspect - the aspect ratio (i.e. width / height; must be greater than zero)
    
    zNear - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    Returns:
    
    a matrix holding the result
    
    See Also:
    
    setPerspectiveOffCenter(double, double, double, double, double, double)
  - setPerspective
```
public Matrix4d setPerspective(double fovy,
                               double aspect,
                               double zNear,
                               double zFar,
                               boolean zZeroToOne)
```
    Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.
    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. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    perspective(double, double, double, double, boolean)
  - setPerspective
```
public Matrix4d setPerspective(double fovy,
                               double aspect,
                               double zNear,
                               double zFar)
```
    Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
    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. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    Returns:
    
    this
    
    See Also:
    
    perspective(double, double, double, double)
  - setPerspectiveRect
```
public Matrix4d setPerspectiveRect(double width,
                                   double height,
                                   double zNear,
                                   double zFar,
                                   boolean zZeroToOne)
```
    Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.
    In order to apply the perspective projection transformation to an existing transformation, use perspectiveRect().
    
    Parameters:
    
    width - the width of the near frustum plane
    
    height - the height of the near frustum plane
    
    zNear - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    perspectiveRect(double, double, double, double, boolean)
  - setPerspectiveRect
```
public Matrix4d setPerspectiveRect(double width,
                                   double height,
                                   double zNear,
                                   double zFar)
```
    Set this matrix to be a symmetric perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
    In order to apply the perspective projection transformation to an existing transformation, use perspectiveRect().
    
    Parameters:
    
    width - the width of the near frustum plane
    
    height - the height of the near frustum plane
    
    zNear - near clipping plane distance. If the special value Float.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Float.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Float.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Float.POSITIVE_INFINITY.
    
    Returns:
    
    this
    
    See Also:
    
    perspectiveRect(double, double, double, double)
  - setPerspectiveOffCenter
```
public Matrix4d setPerspectiveOffCenter(double fovy,
                                        double offAngleX,
                                        double offAngleY,
                                        double aspect,
                                        double zNear,
                                        double zFar)
```
    Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
    The given angles offAngleX and offAngleY are the horizontal and vertical angles between the line of sight and the line given by the center of the near and far frustum planes. So, when offAngleY is just fovy/2 then the projection frustum is rotated towards +Y and the bottom frustum plane is parallel to the XZ-plane.
    In order to apply the perspective projection transformation to an existing transformation, use perspectiveOffCenter().
    
    Parameters:
    
    fovy - the vertical field of view in radians (must be greater than zero and less than PI)
    
    offAngleX - the horizontal angle between the line of sight and the line crossing the center of the near and far frustum planes
    
    offAngleY - the vertical angle between the line of sight and the line crossing the center of the near and far frustum planes
    
    aspect - the aspect ratio (i.e. width / height; must be greater than zero)
    
    zNear - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    Returns:
    
    this
    
    See Also:
    
    perspectiveOffCenter(double, double, double, double, double, double)
  - setPerspectiveOffCenter
```
public Matrix4d setPerspectiveOffCenter(double fovy,
                                        double offAngleX,
                                        double offAngleY,
                                        double aspect,
                                        double zNear,
                                        double zFar,
                                        boolean zZeroToOne)
```
    Set this matrix to be an asymmetric off-center perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.
    The given angles offAngleX and offAngleY are the horizontal and vertical angles between the line of sight and the line given by the center of the near and far frustum planes. So, when offAngleY is just fovy/2 then the projection frustum is rotated towards +Y and the bottom frustum plane is parallel to the XZ-plane.
    In order to apply the perspective projection transformation to an existing transformation, use perspectiveOffCenter().
    
    Parameters:
    
    fovy - the vertical field of view in radians (must be greater than zero and less than PI)
    
    offAngleX - the horizontal angle between the line of sight and the line crossing the center of the near and far frustum planes
    
    offAngleY - the vertical angle between the line of sight and the line crossing the center of the near and far frustum planes
    
    aspect - the aspect ratio (i.e. width / height; must be greater than zero)
    
    zNear - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    perspectiveOffCenter(double, double, double, double, double, double)
  - perspectiveLH
```
public Matrix4d perspectiveLH(double fovy,
                              double aspect,
                              double zNear,
                              double zFar,
                              boolean zZeroToOne,
                              Matrix4d dest)
```
    Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range 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 setPerspectiveLH.
    
    Specified by:
    
    perspectiveLH in interface Matrix4dc
    
    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. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setPerspectiveLH(double, double, double, double, boolean)
  - perspectiveLH
```
public Matrix4d perspectiveLH(double fovy,
                              double aspect,
                              double zNear,
                              double zFar,
                              boolean zZeroToOne)
```
    Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range 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 setPerspectiveLH.
    
    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. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    setPerspectiveLH(double, double, double, double, boolean)
  - perspectiveLH
```
public Matrix4d perspectiveLH(double fovy,
                              double aspect,
                              double zNear,
                              double zFar,
                              Matrix4d dest)
```
    Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
    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 setPerspectiveLH.
    
    Specified by:
    
    perspectiveLH in interface Matrix4dc
    
    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. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setPerspectiveLH(double, double, double, double)
  - perspectiveLH
```
public Matrix4d perspectiveLH(double fovy,
                              double aspect,
                              double zNear,
                              double zFar)
```
    Apply a symmetric perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] 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 setPerspectiveLH.
    
    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. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    Returns:
    
    this
    
    See Also:
    
    setPerspectiveLH(double, double, double, double)
  - setPerspectiveLH
```
public Matrix4d setPerspectiveLH(double fovy,
                                 double aspect,
                                 double zNear,
                                 double zFar,
                                 boolean zZeroToOne)
```
    Set this matrix to be a symmetric perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range of [-1..+1].
    In order to apply the perspective projection transformation to an existing transformation, use perspectiveLH().
    
    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. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    perspectiveLH(double, double, double, double, boolean)
  - setPerspectiveLH
```
public Matrix4d setPerspectiveLH(double fovy,
                                 double aspect,
                                 double zNear,
                                 double zFar)
```
    Set this matrix to be a symmetric perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].
    In order to apply the perspective projection transformation to an existing transformation, use perspectiveLH().
    
    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. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    Returns:
    
    this
    
    See Also:
    
    perspectiveLH(double, double, double, double)
  - frustum
```
public Matrix4d frustum(double left,
                        double right,
                        double bottom,
                        double top,
                        double zNear,
                        double zFar,
                        boolean zZeroToOne,
                        Matrix4d dest)
```
    Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range to this matrix and store the result in dest.
    If M is this matrix and 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
    
    Specified by:
    
    frustum in interface Matrix4dc
    
    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 - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setFrustum(double, double, double, double, double, double, boolean)
  - frustum
```
public Matrix4d frustum(double left,
                        double right,
                        double bottom,
                        double top,
                        double zNear,
                        double zFar,
                        Matrix4d dest)
```
    Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
    If M is this matrix and 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
    
    Specified by:
    
    frustum in interface Matrix4dc
    
    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 - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setFrustum(double, double, double, double, double, double)
  - frustum
```
public Matrix4d frustum(double left,
                        double right,
                        double bottom,
                        double top,
                        double zNear,
                        double zFar,
                        boolean zZeroToOne)
```
    Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range 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 - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    setFrustum(double, double, double, double, double, double, boolean)
  - frustum
```
public Matrix4d frustum(double left,
                        double right,
                        double bottom,
                        double top,
                        double zNear,
                        double zFar)
```
    Apply an arbitrary perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix.
    If M is this matrix and 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 - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    Returns:
    
    this
    
    See Also:
    
    setFrustum(double, double, double, double, double, double)
  - setFrustum
```
public Matrix4d setFrustum(double left,
                           double right,
                           double bottom,
                           double top,
                           double zNear,
                           double zFar,
                           boolean zZeroToOne)
```
    Set this matrix to be an arbitrary perspective projection frustum transformation for a right-handed coordinate system using the given NDC z range.
    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 - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    frustum(double, double, double, double, double, double, boolean)
  - setFrustum
```
public Matrix4d setFrustum(double left,
                           double right,
                           double bottom,
                           double top,
                           double zNear,
                           double zFar)
```
    Set this matrix to be an arbitrary perspective projection frustum transformation for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
    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 - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    Returns:
    
    this
    
    See Also:
    
    frustum(double, double, double, double, double, double)
  - frustumLH
```
public Matrix4d frustumLH(double left,
                          double right,
                          double bottom,
                          double top,
                          double zNear,
                          double zFar,
                          boolean zZeroToOne,
                          Matrix4d dest)
```
    Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range 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 setFrustumLH().
    Reference: http://www.songho.ca
    
    Specified by:
    
    frustumLH in interface Matrix4dc
    
    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 - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setFrustumLH(double, double, double, double, double, double, boolean)
  - frustumLH
```
public Matrix4d frustumLH(double left,
                          double right,
                          double bottom,
                          double top,
                          double zNear,
                          double zFar,
                          boolean zZeroToOne)
```
    Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range 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 setFrustumLH().
    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 - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    setFrustumLH(double, double, double, double, double, double, boolean)
  - frustumLH
```
public Matrix4d frustumLH(double left,
                          double right,
                          double bottom,
                          double top,
                          double zNear,
                          double zFar,
                          Matrix4d dest)
```
    Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1] to this matrix and store the result in dest.
    If M is this matrix and 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 setFrustumLH().
    Reference: http://www.songho.ca
    
    Specified by:
    
    frustumLH in interface Matrix4dc
    
    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 - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    setFrustumLH(double, double, double, double, double, double)
  - frustumLH
```
public Matrix4d frustumLH(double left,
                          double right,
                          double bottom,
                          double top,
                          double zNear,
                          double zFar)
```
    Apply an arbitrary perspective projection frustum transformation for a left-handed coordinate system using the given NDC z range 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 setFrustumLH().
    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 - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    Returns:
    
    this
    
    See Also:
    
    setFrustumLH(double, double, double, double, double, double)
  - setFrustumLH
```
public Matrix4d setFrustumLH(double left,
                             double right,
                             double bottom,
                             double top,
                             double zNear,
                             double zFar,
                             boolean zZeroToOne)
```
    Set this matrix to be an arbitrary perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].
    In order to apply the perspective frustum transformation to an existing transformation, use frustumLH().
    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 - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    zZeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    Returns:
    
    this
    
    See Also:
    
    frustumLH(double, double, double, double, double, double, boolean)
  - setFrustumLH
```
public Matrix4d setFrustumLH(double left,
                             double right,
                             double bottom,
                             double top,
                             double zNear,
                             double zFar)
```
    Set this matrix to be an arbitrary perspective projection frustum transformation for a left-handed coordinate system using OpenGL's NDC z range of [-1..+1].
    In order to apply the perspective frustum transformation to an existing transformation, use frustumLH().
    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 - near clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the near clipping plane will be at positive infinity. In that case, zFar may not also be Double.POSITIVE_INFINITY.
    
    zFar - far clipping plane distance. If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. In that case, zNear may not also be Double.POSITIVE_INFINITY.
    
    Returns:
    
    this
    
    See Also:
    
    frustumLH(double, double, double, double, double, double)
  - setFromIntrinsic
```
public Matrix4d setFromIntrinsic(double alphaX,
                                 double alphaY,
                                 double gamma,
                                 double u0,
                                 double v0,
                                 int imgWidth,
                                 int imgHeight,
                                 double near,
                                 double far)
```
    Set this matrix to represent a perspective projection equivalent to the given intrinsic camera calibration parameters. The resulting matrix will be suited for a right-handed coordinate system using OpenGL's NDC z range of [-1..+1].
    See: https://en.wikipedia.org/
    Reference: http://ksimek.github.io/
    
    Parameters:
    
    alphaX - specifies the focal length and scale along the X axis
    
    alphaY - specifies the focal length and scale along the Y axis
    
    gamma - the skew coefficient between the X and Y axis (may be 0)
    
    u0 - the X coordinate of the principal point in image/sensor units
    
    v0 - the Y coordinate of the principal point in image/sensor units
    
    imgWidth - the width of the sensor/image image/sensor units
    
    imgHeight - the height of the sensor/image image/sensor units
    
    near - the distance to the near plane
    
    far - the distance to the far plane
    
    Returns:
    
    this
  - frustumPlane
```
public Vector4d frustumPlane(int plane,
                             Vector4d dest)
```
    Description copied from interface: Matrix4dc
    
    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 Vector4d 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).
    For performing frustum culling, the class FrustumIntersection should be used instead of manually obtaining the frustum planes and testing them against points, spheres or axis-aligned boxes.
    Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix
    
    Specified by:
    
    frustumPlane in interface Matrix4dc
    
    Parameters:
    
    plane - one of the six possible planes, given as numeric constants Matrix4dc.PLANE_NX, Matrix4dc.PLANE_PX, Matrix4dc.PLANE_NY, Matrix4dc.PLANE_PY, Matrix4dc.PLANE_NZ and Matrix4dc.PLANE_PZ
    
    dest - will hold the computed plane equation. The plane equation will be normalized, meaning that (a, b, c) will be a unit vector
    
    Returns:
    
    planeEquation
  - frustumPlane
```
public Planed frustumPlane(int which,
                           Planed plane)
```
    Description copied from interface: Matrix4dc
    
    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 plane.
    Generally, this method computes the frustum plane in the local frame of any coordinate system that existed before this transformation was applied to it in order to yield homogeneous clipping space.
    The plane normal, which is (a, b, c), is directed "inwards" of the frustum. Any plane/point test using a*x + b*y + c*z + d therefore will yield a result greater than zero if the point is within the frustum (i.e. at the positive side of the frustum plane).
    For performing frustum culling, the class FrustumIntersection should be used instead of manually obtaining the frustum planes and testing them against points, spheres or axis-aligned boxes.
    Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix
    
    Specified by:
    
    frustumPlane in interface Matrix4dc
    
    Parameters:
    
    which - one of the six possible planes, given as numeric constants Matrix4dc.PLANE_NX, Matrix4dc.PLANE_PX, Matrix4dc.PLANE_NY, Matrix4dc.PLANE_PY, Matrix4dc.PLANE_NZ and Matrix4dc.PLANE_PZ
    
    plane - 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 Vector3d frustumCorner(int corner,
                              Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    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
    
    Specified by:
    
    frustumCorner in interface Matrix4dc
    
    Parameters:
    
    corner - one of the eight possible corners, given as numeric constants Matrix4dc.CORNER_NXNYNZ, Matrix4dc.CORNER_PXNYNZ, Matrix4dc.CORNER_PXPYNZ, Matrix4dc.CORNER_NXPYNZ, Matrix4dc.CORNER_PXNYPZ, Matrix4dc.CORNER_NXNYPZ, Matrix4dc.CORNER_NXPYPZ, Matrix4dc.CORNER_PXPYPZ
    
    dest - will hold the resulting corner point coordinates
    
    Returns:
    
    point
  - perspectiveOrigin
```
public Vector3d perspectiveOrigin(Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    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
    
    Specified by:
    
    perspectiveOrigin in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the origin of the coordinate system before applying this perspective projection transformation
    
    Returns:
    
    origin
  - perspectiveFov
```
public double perspectiveFov()
```
    Description copied from interface: Matrix4dc
    
    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
    
    Specified by:
    
    perspectiveFov in interface Matrix4dc
    
    Returns:
    
    the vertical field-of-view angle in radians
  - perspectiveNear
```
public double perspectiveNear()
```
    Description copied from interface: Matrix4dc
    
    Extract the near clip plane distance from this perspective projection matrix.
    This method only works if this is a perspective projection matrix, for example obtained via Matrix4dc.perspective(double, double, double, double, Matrix4d).
    
    Specified by:
    
    perspectiveNear in interface Matrix4dc
    
    Returns:
    
    the near clip plane distance
  - perspectiveFar
```
public double perspectiveFar()
```
    Description copied from interface: Matrix4dc
    
    Extract the far clip plane distance from this perspective projection matrix.
    This method only works if this is a perspective projection matrix, for example obtained via Matrix4dc.perspective(double, double, double, double, Matrix4d).
    
    Specified by:
    
    perspectiveFar in interface Matrix4dc
    
    Returns:
    
    the far clip plane distance
  - frustumRayDir
```
public Vector3d frustumRayDir(double x,
                              double y,
                              Vector3d dest)
```
    Description copied from interface: Matrix4dc
    
    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
    
    Specified by:
    
    frustumRayDir in interface Matrix4dc
    
    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]
    
    dest - 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 Vector3d positiveZ(Vector3d dest)
```
    Description copied from interface: Matrix4dc
    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:
```
 Matrix4d inv = new Matrix4d(this).invert();
 inv.transformDirection(dir.set(0, 0, 1)).normalize();
 
```
    If this is already an orthogonal matrix, then consider using Matrix4dc.normalizedPositiveZ(Vector3d) instead.
    Reference: http://www.euclideanspace.com
    Specified by:
    
    positiveZ in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the direction of +Z
    
    Returns:
    
    dir
  - normalizedPositiveZ
```
public Vector3d normalizedPositiveZ(Vector3d dest)
```
    Description copied from interface: Matrix4dc
    Obtain the direction of +Z before the transformation represented by this orthogonal matrix is applied. This method only produces correct results if this is an orthogonal matrix.
    This method uses the rotation component of the upper left 3x3 submatrix to obtain the direction that is transformed to +Z by this matrix.
    This method is equivalent to the following code:
```
 Matrix4d inv = new Matrix4d(this).transpose();
 inv.transformDirection(dir.set(0, 0, 1));
 
```
    Reference: http://www.euclideanspace.com
    Specified by:
    
    normalizedPositiveZ in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the direction of +Z
    
    Returns:
    
    dir
  - positiveX
```
public Vector3d positiveX(Vector3d dest)
```
    Description copied from interface: Matrix4dc
    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:
```
 Matrix4d inv = new Matrix4d(this).invert();
 inv.transformDirection(dir.set(1, 0, 0)).normalize();
 
```
    If this is already an orthogonal matrix, then consider using Matrix4dc.normalizedPositiveX(Vector3d) instead.
    Reference: http://www.euclideanspace.com
    Specified by:
    
    positiveX in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the direction of +X
    
    Returns:
    
    dir
  - normalizedPositiveX
```
public Vector3d normalizedPositiveX(Vector3d dest)
```
    Description copied from interface: Matrix4dc
    Obtain the direction of +X before the transformation represented by this orthogonal matrix is applied. This method only produces correct results if this is an orthogonal matrix.
    This method uses the rotation component of the upper left 3x3 submatrix to obtain the direction that is transformed to +X by this matrix.
    This method is equivalent to the following code:
```
 Matrix4d inv = new Matrix4d(this).transpose();
 inv.transformDirection(dir.set(1, 0, 0));
 
```
    Reference: http://www.euclideanspace.com
    Specified by:
    
    normalizedPositiveX in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the direction of +X
    
    Returns:
    
    dir
  - positiveY
```
public Vector3d positiveY(Vector3d dest)
```
    Description copied from interface: Matrix4dc
    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:
```
 Matrix4d inv = new Matrix4d(this).invert();
 inv.transformDirection(dir.set(0, 1, 0)).normalize();
 
```
    If this is already an orthogonal matrix, then consider using Matrix4dc.normalizedPositiveY(Vector3d) instead.
    Reference: http://www.euclideanspace.com
    Specified by:
    
    positiveY in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the direction of +Y
    
    Returns:
    
    dir
  - normalizedPositiveY
```
public Vector3d normalizedPositiveY(Vector3d dest)
```
    Description copied from interface: Matrix4dc
    Obtain the direction of +Y before the transformation represented by this orthogonal matrix is applied. This method only produces correct results if this is an orthogonal matrix.
    This method uses the rotation component of the upper left 3x3 submatrix to obtain the direction that is transformed to +Y by this matrix.
    This method is equivalent to the following code:
```
 Matrix4d inv = new Matrix4d(this).transpose();
 inv.transformDirection(dir.set(0, 1, 0));
 
```
    Reference: http://www.euclideanspace.com
    Specified by:
    
    normalizedPositiveY in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the direction of +Y
    
    Returns:
    
    dir
  - originAffine
```
public Vector3d originAffine(Vector3d dest)
```
    Description copied from interface: Matrix4dc
    Obtain the position that gets transformed to the origin by this affine matrix. This can be used to get the position of the "camera" from a given view transformation matrix.
    This method only works with affine matrices.
    This method is equivalent to the following code:
```
 Matrix4f inv = new Matrix4f(this).invertAffine();
 inv.transformPosition(origin.set(0, 0, 0));
 
```
    Specified by:
    
    originAffine in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the position transformed to the origin
    
    Returns:
    
    origin
  - origin
```
public Vector3d origin(Vector3d dest)
```
    Description copied from interface: Matrix4dc
    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/projection transformation matrix.
    This method is equivalent to the following code:
```
 Matrix4f inv = new Matrix4f(this).invert();
 inv.transformPosition(origin.set(0, 0, 0));
 
```
    Specified by:
    
    origin in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the position transformed to the origin
    
    Returns:
    
    origin
  - shadow
```
public Matrix4d shadow(Vector4dc light,
                       double a,
                       double b,
                       double c,
                       double d)
```
    Apply a projection transformation to this matrix that projects onto the plane specified via the general plane 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 Matrix4d shadow(Vector4dc light,
                       double a,
                       double b,
                       double c,
                       double d,
                       Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    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
    
    Specified by:
    
    shadow in interface Matrix4dc
    
    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 Matrix4d shadow(double lightX,
                       double lightY,
                       double lightZ,
                       double lightW,
                       double a,
                       double b,
                       double c,
                       double d)
```
    Apply a projection transformation to this matrix that projects onto the plane specified via the general plane 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 Matrix4d shadow(double lightX,
                       double lightY,
                       double lightZ,
                       double lightW,
                       double a,
                       double b,
                       double c,
                       double d,
                       Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    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
    
    Specified by:
    
    shadow in interface Matrix4dc
    
    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 Matrix4d shadow(Vector4dc light,
                       Matrix4dc planeTransform,
                       Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    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!
    
    Specified by:
    
    shadow in interface Matrix4dc
    
    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 Matrix4d shadow(Vector4d light,
                       Matrix4d 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 Matrix4d shadow(double lightX,
                       double lightY,
                       double lightZ,
                       double lightW,
                       Matrix4dc planeTransform,
                       Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    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!
    
    Specified by:
    
    shadow in interface Matrix4dc
    
    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 Matrix4d shadow(double lightX,
                       double lightY,
                       double lightZ,
                       double lightW,
                       Matrix4dc planeTransform)
```
    Apply a projection transformation to this matrix that projects onto the plane with the general plane 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 Matrix4d billboardCylindrical(Vector3dc objPos,
                                     Vector3dc targetPos,
                                     Vector3dc up)
```
    Set this matrix to a cylindrical billboard transformation that rotates the local +Z axis of a given object with 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 Matrix4d billboardSpherical(Vector3dc objPos,
                                   Vector3dc targetPos,
                                   Vector3dc up)
```
    Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos.
    This method can be used to create the complete model transformation for a given object, including the translation of the object to its position objPos.
    If preserving an up vector is not necessary when rotating the +Z axis, then a shortest arc rotation can be obtained using billboardSpherical(Vector3dc, Vector3dc).
    
    Parameters:
    
    objPos - the position of the object to rotate towards targetPos
    
    targetPos - the position of the target (for example the camera) towards which to rotate the object
    
    up - the up axis used to orient the object
    
    Returns:
    
    this
    
    See Also:
    
    billboardSpherical(Vector3dc, Vector3dc)
  - billboardSpherical
```
public Matrix4d billboardSpherical(Vector3dc objPos,
                                   Vector3dc targetPos)
```
    Set this matrix to a spherical billboard transformation that rotates the local +Z axis of a given object with position objPos towards a target position at targetPos using a shortest arc rotation by not preserving any up vector of the object.
    This method can be used to create the complete model transformation for a given object, including the translation of the object to its position objPos.
    In order to specify an up vector which needs to be maintained when rotating the +Z axis of the object, use billboardSpherical(Vector3dc, Vector3dc, Vector3dc).
    
    Parameters:
    
    objPos - the position of the object to rotate towards targetPos
    
    targetPos - the position of the target (for example the camera) towards which to rotate the object
    
    Returns:
    
    this
    
    See Also:
    
    billboardSpherical(Vector3dc, Vector3dc, Vector3dc)
  - hashCode
```
public int hashCode()
```
    Overrides:
    
    hashCode in class Object
  - equals
```
public boolean equals(Object obj)
```
    Overrides:
    
    equals in class Object
  - equals
```
public boolean equals(Matrix4dc m,
                      double delta)
```
    Description copied from interface: Matrix4dc
    
    Compare the matrix elements of this matrix with the given matrix using the given delta and return whether all of them are equal within a maximum difference of delta.
    Please note that this method is not used by any data structure such as ArrayList HashSet or HashMap and their operations, such as ArrayList.contains(Object) or HashSet.remove(Object), since those data structures only use the Object.equals(Object) and Object.hashCode() methods.
    
    Specified by:
    
    equals in interface Matrix4dc
    
    Parameters:
    
    m - the other matrix
    
    delta - the allowed maximum difference
    
    Returns:
    
    true whether all of the matrix elements are equal; false otherwise
  - pick
```
public Matrix4d pick(double x,
                     double y,
                     double width,
                     double height,
                     int[] viewport,
                     Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply a picking transformation to this matrix using the given window coordinates (x, y) as the pick center and the given (width, height) as the size of the picking region in window coordinates, and store the result in dest.
    
    Specified by:
    
    pick in interface Matrix4dc
    
    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 Matrix4d pick(double x,
                     double y,
                     double width,
                     double height,
                     int[] viewport)
```
    Apply a picking transformation to this matrix using the given window coordinates (x, y) as the pick center and the given (width, height) as the size of the picking region in window coordinates.
    
    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()
```
    Description copied from interface: Matrix4dc
    
    Determine whether this matrix describes an affine transformation. This is the case iff its last row is equal to (0, 0, 0, 1).
    
    Specified by:
    
    isAffine in interface Matrix4dc
    
    Returns:
    
    true iff this matrix is affine; false otherwise
  - swap
```
public Matrix4d swap(Matrix4d 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 Matrix4d arcball(double radius,
                        double centerX,
                        double centerY,
                        double centerZ,
                        double angleX,
                        double angleY,
                        Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply an arcball view transformation to this matrix with the given radius and center (centerX, centerY, centerZ) position of the arcball and the specified X and Y rotation angles, and store the result in dest.
    This method is equivalent to calling: translate(0, 0, -radius).rotateX(angleX).rotateY(angleY).translate(-centerX, -centerY, -centerZ)
    
    Specified by:
    
    arcball in interface Matrix4dc
    
    Parameters:
    
    radius - the arcball radius
    
    centerX - the x coordinate of the center position of the arcball
    
    centerY - the y coordinate of the center position of the arcball
    
    centerZ - the z coordinate of the center position of the arcball
    
    angleX - the rotation angle around the X axis in radians
    
    angleY - the rotation angle around the Y axis in radians
    
    dest - will hold the result
    
    Returns:
    
    dest
  - arcball
```
public Matrix4d arcball(double radius,
                        Vector3dc center,
                        double angleX,
                        double angleY,
                        Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply an arcball view transformation to this matrix with the given radius and center position of the arcball and the specified X and Y rotation angles, and store the result in dest.
    This method is equivalent to calling: translate(0, 0, -radius).rotateX(angleX).rotateY(angleY).translate(-center.x, -center.y, -center.z)
    
    Specified by:
    
    arcball in interface Matrix4dc
    
    Parameters:
    
    radius - the arcball radius
    
    center - the center position of the arcball
    
    angleX - the rotation angle around the X axis in radians
    
    angleY - the rotation angle around the Y axis in radians
    
    dest - will hold the result
    
    Returns:
    
    dest
  - arcball
```
public Matrix4d arcball(double radius,
                        double centerX,
                        double centerY,
                        double centerZ,
                        double angleX,
                        double angleY)
```
    Apply an arcball view transformation to this matrix with the given radius and center (centerX, centerY, centerZ) position of the arcball and the specified X and Y rotation angles.
    This method is equivalent to calling: translate(0, 0, -radius).rotateX(angleX).rotateY(angleY).translate(-centerX, -centerY, -centerZ)
    
    Parameters:
    
    radius - the arcball radius
    
    centerX - the x coordinate of the center position of the arcball
    
    centerY - the y coordinate of the center position of the arcball
    
    centerZ - the z coordinate of the center position of the arcball
    
    angleX - the rotation angle around the X axis in radians
    
    angleY - the rotation angle around the Y axis in radians
    
    Returns:
    
    this
  - arcball
```
public Matrix4d arcball(double radius,
                        Vector3dc center,
                        double angleX,
                        double angleY)
```
    Apply an arcball view transformation to this matrix with the given radius and center position of the arcball and the specified X and Y rotation angles.
    This method is equivalent to calling: translate(0, 0, -radius).rotateX(angleX).rotateY(angleY).translate(-center.x, -center.y, -center.z)
    
    Parameters:
    
    radius - the arcball radius
    
    center - the center position of the arcball
    
    angleX - the rotation angle around the X axis in radians
    
    angleY - the rotation angle around the Y axis in radians
    
    Returns:
    
    this
  - frustumAabb
```
public Matrix4d frustumAabb(Vector3d min,
                            Vector3d max)
```
    Compute the axis-aligned bounding box of the frustum described by this matrix and store the minimum corner coordinates in the given min and the maximum corner coordinates in the given max vector.
    The matrix this is assumed to be the inverse of the origial view-projection matrix for which to compute the axis-aligned bounding box in world-space.
    The axis-aligned bounding box of the unit frustum is (-1, -1, -1), (1, 1, 1).
    
    Parameters:
    
    min - will hold the minimum corner coordinates of the axis-aligned bounding box
    
    max - will hold the maximum corner coordinates of the axis-aligned bounding box
    
    Returns:
    
    this
  - projectedGridRange
```
public Matrix4d projectedGridRange(Matrix4dc projector,
                                   double sLower,
                                   double sUpper,
                                   Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Compute the range matrix for the Projected Grid transformation as described in chapter "2.4.2 Creating the range conversion matrix" of the paper Real-time water rendering - Introducing the projected grid concept based on the inverse of the view-projection matrix which is assumed to be this, and store that range matrix into dest.
    If the projected grid will not be visible then this method returns null.
    This method uses the y = 0 plane for the projection.
    
    Specified by:
    
    projectedGridRange in interface Matrix4dc
    
    Parameters:
    
    projector - the projector view-projection transformation
    
    sLower - the lower (smallest) Y-coordinate which any transformed vertex might have while still being visible on the projected grid
    
    sUpper - the upper (highest) Y-coordinate which any transformed vertex might have while still being visible on the projected grid
    
    dest - will hold the resulting range matrix
    
    Returns:
    
    the computed range matrix; or null if the projected grid will not be visible
  - perspectiveFrustumSlice
```
public Matrix4d perspectiveFrustumSlice(double near,
                                        double far,
                                        Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Change the near and far clip plane distances of this perspective frustum transformation matrix and store the result in dest.
    This method only works if this is a perspective projection frustum transformation, for example obtained via perspective() or frustum().
    
    Specified by:
    
    perspectiveFrustumSlice in interface Matrix4dc
    
    Parameters:
    
    near - the new near clip plane distance
    
    far - the new far clip plane distance
    
    dest - will hold the resulting matrix
    
    Returns:
    
    dest
    
    See Also:
    
    Matrix4dc.perspective(double, double, double, double, Matrix4d), Matrix4dc.frustum(double, double, double, double, double, double, Matrix4d)
  - orthoCrop
```
public Matrix4d orthoCrop(Matrix4dc view,
                          Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Build an ortographic projection transformation that fits the view-projection transformation represented by this into the given affine view transformation.
    The transformation represented by this must be given as the inverse of a typical combined camera view-projection transformation, whose projection can be either orthographic or perspective.
    The view must be an affine transformation which in the application of Cascaded Shadow Maps is usually the light view transformation. It be obtained via any affine transformation or for example via lookAt().
    Reference: OpenGL SDK - Cascaded Shadow Maps
    
    Specified by:
    
    orthoCrop in interface Matrix4dc
    
    Parameters:
    
    view - the view transformation to build a corresponding orthographic projection to fit the frustum of this
    
    dest - will hold the crop projection transformation
    
    Returns:
    
    dest
  - trapezoidCrop
```
public Matrix4d trapezoidCrop(double p0x,
                              double p0y,
                              double p1x,
                              double p1y,
                              double p2x,
                              double p2y,
                              double p3x,
                              double p3y)
```
    Set this matrix to a perspective transformation that maps the trapezoid spanned by the four corner coordinates (p0x, p0y), (p1x, p1y), (p2x, p2y) and (p3x, p3y) to the unit square [(-1, -1)..(+1, +1)].
    The corner coordinates are given in counter-clockwise order starting from the left corner on the smaller parallel side of the trapezoid seen when looking at the trapezoid oriented with its shorter parallel edge at the bottom and its longer parallel edge at the top.
    Reference: Trapezoidal Shadow Maps (TSM) - Recipe
    
    Parameters:
    
    p0x - the x coordinate of the left corner at the shorter edge of the trapezoid
    
    p0y - the y coordinate of the left corner at the shorter edge of the trapezoid
    
    p1x - the x coordinate of the right corner at the shorter edge of the trapezoid
    
    p1y - the y coordinate of the right corner at the shorter edge of the trapezoid
    
    p2x - the x coordinate of the right corner at the longer edge of the trapezoid
    
    p2y - the y coordinate of the right corner at the longer edge of the trapezoid
    
    p3x - the x coordinate of the left corner at the longer edge of the trapezoid
    
    p3y - the y coordinate of the left corner at the longer edge of the trapezoid
    
    Returns:
    
    this
  - transformAab
```
public Matrix4d transformAab(double minX,
                             double minY,
                             double minZ,
                             double maxX,
                             double maxY,
                             double maxZ,
                             Vector3d outMin,
                             Vector3d outMax)
```
    Description copied from interface: Matrix4dc
    
    Transform the axis-aligned box given as the minimum corner (minX, minY, minZ) and maximum corner (maxX, maxY, maxZ) by this affine matrix and compute the axis-aligned box of the result whose minimum corner is stored in outMin and maximum corner stored in outMax.
    Reference: http://dev.theomader.com
    
    Specified by:
    
    transformAab in interface Matrix4dc
    
    Parameters:
    
    minX - the x coordinate of the minimum corner of the axis-aligned box
    
    minY - the y coordinate of the minimum corner of the axis-aligned box
    
    minZ - the z coordinate of the minimum corner of the axis-aligned box
    
    maxX - the x coordinate of the maximum corner of the axis-aligned box
    
    maxY - the y coordinate of the maximum corner of the axis-aligned box
    
    maxZ - the y coordinate of the maximum corner of the axis-aligned box
    
    outMin - will hold the minimum corner of the resulting axis-aligned box
    
    outMax - will hold the maximum corner of the resulting axis-aligned box
    
    Returns:
    
    this
  - transformAab
```
public Matrix4d transformAab(Vector3dc min,
                             Vector3dc max,
                             Vector3d outMin,
                             Vector3d outMax)
```
    Description copied from interface: Matrix4dc
    
    Transform the axis-aligned box given as the minimum corner min and maximum corner max by this affine matrix and compute the axis-aligned box of the result whose minimum corner is stored in outMin and maximum corner stored in outMax.
    
    Specified by:
    
    transformAab in interface Matrix4dc
    
    Parameters:
    
    min - the minimum corner of the axis-aligned box
    
    max - the maximum corner of the axis-aligned box
    
    outMin - will hold the minimum corner of the resulting axis-aligned box
    
    outMax - will hold the maximum corner of the resulting axis-aligned box
    
    Returns:
    
    this
  - lerp
```
public Matrix4d lerp(Matrix4dc other,
                     double t)
```
    Linearly interpolate this and other using the given interpolation factor t and store the result in this.
    If t is 0.0 then the result is this. If the interpolation factor is 1.0 then the result is other.
    
    Parameters:
    
    other - the other matrix
    
    t - the interpolation factor between 0.0 and 1.0
    
    Returns:
    
    this
  - lerp
```
public Matrix4d lerp(Matrix4dc other,
                     double t,
                     Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Linearly interpolate this and other using the given interpolation factor t and store the result in dest.
    If t is 0.0 then the result is this. If the interpolation factor is 1.0 then the result is other.
    
    Specified by:
    
    lerp in interface Matrix4dc
    
    Parameters:
    
    other - the other matrix
    
    t - the interpolation factor between 0.0 and 1.0
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateTowards
```
public Matrix4d rotateTowards(Vector3dc direction,
                              Vector3dc up,
                              Matrix4d dest)
```
    Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with direction and store the result in dest.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying it, use rotationTowards().
    This method is equivalent to calling: mulAffine(new Matrix4d().lookAt(new Vector3d(), new Vector3d(dir).negate(), up).invertAffine(), dest)
    
    Specified by:
    
    rotateTowards in interface Matrix4dc
    
    Parameters:
    
    direction - the direction to rotate towards
    
    up - the up vector
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotateTowards(double, double, double, double, double, double, Matrix4d), rotationTowards(Vector3dc, Vector3dc)
  - rotateTowards
```
public Matrix4d rotateTowards(Vector3dc direction,
                              Vector3dc up)
```
    Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with direction.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying it, use rotationTowards().
    This method is equivalent to calling: mulAffine(new Matrix4d().lookAt(new Vector3d(), new Vector3d(dir).negate(), up).invertAffine())
    
    Parameters:
    
    direction - the direction to orient towards
    
    up - the up vector
    
    Returns:
    
    this
    
    See Also:
    
    rotateTowards(double, double, double, double, double, double), rotationTowards(Vector3dc, Vector3dc)
  - rotateTowards
```
public Matrix4d rotateTowards(double dirX,
                              double dirY,
                              double dirZ,
                              double upX,
                              double upY,
                              double upZ)
```
    Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with (dirX, dirY, dirZ).
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying it, use rotationTowards().
    This method is equivalent to calling: mulAffine(new Matrix4d().lookAt(0, 0, 0, -dirX, -dirY, -dirZ, upX, upY, upZ).invertAffine())
    
    Parameters:
    
    dirX - the x-coordinate of the direction to rotate towards
    
    dirY - the y-coordinate of the direction to rotate towards
    
    dirZ - the z-coordinate of the direction to rotate towards
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    Returns:
    
    this
    
    See Also:
    
    rotateTowards(Vector3dc, Vector3dc), rotationTowards(double, double, double, double, double, double)
  - rotateTowards
```
public Matrix4d rotateTowards(double dirX,
                              double dirY,
                              double dirZ,
                              double upX,
                              double upY,
                              double upZ,
                              Matrix4d dest)
```
    Apply a model transformation to this matrix for a right-handed coordinate system, that aligns the local +Z axis with dir and store the result in dest.
    If M is this matrix and L the lookat matrix, then the new matrix will be M * L. So when transforming a vector v with the new matrix by using M * L * v, the lookat transformation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying it, use rotationTowards().
    This method is equivalent to calling: mulAffine(new Matrix4d().lookAt(0, 0, 0, -dirX, -dirY, -dirZ, upX, upY, upZ).invertAffine(), dest)
    
    Specified by:
    
    rotateTowards in interface Matrix4dc
    
    Parameters:
    
    dirX - the x-coordinate of the direction to rotate towards
    
    dirY - the y-coordinate of the direction to rotate towards
    
    dirZ - the z-coordinate of the direction to rotate towards
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotateTowards(Vector3dc, Vector3dc), rotationTowards(double, double, double, double, double, double)
  - rotationTowards
```
public Matrix4d rotationTowards(Vector3dc dir,
                                Vector3dc up)
```
    Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local -z axis with dir.
    In order to apply the rotation transformation to a previous existing transformation, use rotateTowards.
    This method is equivalent to calling: setLookAt(new Vector3d(), new Vector3d(dir).negate(), up).invertAffine()
    
    Parameters:
    
    dir - the direction to orient the local -z axis towards
    
    up - the up vector
    
    Returns:
    
    this
    
    See Also:
    
    rotationTowards(Vector3dc, Vector3dc), rotateTowards(double, double, double, double, double, double)
  - rotationTowards
```
public Matrix4d rotationTowards(double dirX,
                                double dirY,
                                double dirZ,
                                double upX,
                                double upY,
                                double upZ)
```
    Set this matrix to a model transformation for a right-handed coordinate system, that aligns the local -z axis with dir.
    In order to apply the rotation transformation to a previous existing transformation, use rotateTowards.
    This method is equivalent to calling: setLookAt(0, 0, 0, -dirX, -dirY, -dirZ, upX, upY, upZ).invertAffine()
    
    Parameters:
    
    dirX - the x-coordinate of the direction to rotate towards
    
    dirY - the y-coordinate of the direction to rotate towards
    
    dirZ - the z-coordinate of the direction to rotate towards
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    Returns:
    
    this
    
    See Also:
    
    rotateTowards(Vector3dc, Vector3dc), rotationTowards(double, double, double, double, double, double)
  - translationRotateTowards
```
public Matrix4d translationRotateTowards(Vector3dc pos,
                                         Vector3dc dir,
                                         Vector3dc up)
```
    Set this matrix to a model transformation for a right-handed coordinate system, that translates to the given pos and aligns the local -z axis with dir.
    This method is equivalent to calling: translation(pos).rotateTowards(dir, up)
    
    Parameters:
    
    pos - the position to translate to
    
    dir - the direction to rotate towards
    
    up - the up vector
    
    Returns:
    
    this
    
    See Also:
    
    translation(Vector3dc), rotateTowards(Vector3dc, Vector3dc)
  - translationRotateTowards
```
public Matrix4d translationRotateTowards(double posX,
                                         double posY,
                                         double posZ,
                                         double dirX,
                                         double dirY,
                                         double dirZ,
                                         double upX,
                                         double upY,
                                         double upZ)
```
    Set this matrix to a model transformation for a right-handed coordinate system, that translates to the given (posX, posY, posZ) and aligns the local -z axis with (dirX, dirY, dirZ).
    This method is equivalent to calling: translation(posX, posY, posZ).rotateTowards(dirX, dirY, dirZ, upX, upY, upZ)
    
    Parameters:
    
    posX - the x-coordinate of the position to translate to
    
    posY - the y-coordinate of the position to translate to
    
    posZ - the z-coordinate of the position to translate to
    
    dirX - the x-coordinate of the direction to rotate towards
    
    dirY - the y-coordinate of the direction to rotate towards
    
    dirZ - the z-coordinate of the direction to rotate towards
    
    upX - the x-coordinate of the up vector
    
    upY - the y-coordinate of the up vector
    
    upZ - the z-coordinate of the up vector
    
    Returns:
    
    this
    
    See Also:
    
    translation(double, double, double), rotateTowards(double, double, double, double, double, double)
  - getEulerAnglesZYX
```
public Vector3d getEulerAnglesZYX(Vector3d dest)
```
    Extract the Euler angles from the rotation represented by the upper left 3x3 submatrix of this and store the extracted Euler angles in dest.
    This method assumes that the upper left of this only represents a rotation without scaling.
    Note that the returned Euler angles must be applied in the order Z * Y * X to obtain the identical matrix. This means that calling rotateZYX(double, double, double) using the obtained Euler angles will yield the same rotation as the original matrix from which the Euler angles were obtained, so in the below code the matrix m2 should be identical to m (disregarding possible floating-point inaccuracies).
```
 Matrix4d m = ...; // <- matrix only representing rotation
 Matrix4d n = new Matrix4d();
 n.rotateZYX(m.getEulerAnglesZYX(new Vector3d()));
 
```
    Reference: http://nghiaho.com/
    Specified by:
    
    getEulerAnglesZYX in interface Matrix4dc
    
    Parameters:
    
    dest - will hold the extracted Euler angles
    
    Returns:
    
    dest
  - affineSpan
```
public Matrix4d affineSpan(Vector3d corner,
                           Vector3d xDir,
                           Vector3d yDir,
                           Vector3d zDir)
```
    Compute the extents of the coordinate system before this affine transformation was applied and store the resulting corner coordinates in corner and the span vectors in xDir, yDir and zDir.
    That means, given the maximum extents of the coordinate system between [-1..+1] in all dimensions, this method returns one corner and the length and direction of the three base axis vectors in the coordinate system before this transformation is applied, which transforms into the corner coordinates [-1, +1].
    This method is equivalent to computing at least three adjacent corners using frustumCorner(int, Vector3d) and subtracting them to obtain the length and direction of the span vectors.
    
    Parameters:
    
    corner - will hold one corner of the span (usually the corner Matrix4dc.CORNER_NXNYNZ)
    
    xDir - will hold the direction and length of the span along the positive X axis
    
    yDir - will hold the direction and length of the span along the positive Y axis
    
    zDir - will hold the direction and length of the span along the positive z axis
    
    Returns:
    
    this
  - testPoint
```
public boolean testPoint(double x,
                         double y,
                         double z)
```
    Description copied from interface: Matrix4dc
    
    Test whether the given point (x, y, z) is within the frustum defined by this matrix.
    This method assumes this matrix to be a transformation from any arbitrary coordinate system/space M into standard OpenGL clip space and tests whether the given point with the coordinates (x, y, z) given in space M is within the clip space.
    When testing multiple points using the same transformation matrix, FrustumIntersection should be used instead.
    Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix
    
    Specified by:
    
    testPoint in interface Matrix4dc
    
    Parameters:
    
    x - the x-coordinate of the point
    
    y - the y-coordinate of the point
    
    z - the z-coordinate of the point
    
    Returns:
    
    true if the given point is inside the frustum; false otherwise
  - testSphere
```
public boolean testSphere(double x,
                          double y,
                          double z,
                          double r)
```
    Description copied from interface: Matrix4dc
    
    Test whether the given sphere is partly or completely within or outside of the frustum defined by this matrix.
    This method assumes this matrix to be a transformation from any arbitrary coordinate system/space M into standard OpenGL clip space and tests whether the given sphere with the coordinates (x, y, z) given in space M is within the clip space.
    When testing multiple spheres using the same transformation matrix, or more sophisticated/optimized intersection algorithms are required, FrustumIntersection should be used instead.
    The algorithm implemented by this method is conservative. This means that in certain circumstances a false positive can occur, when the method returns true for spheres that are actually not visible. See iquilezles.org for an examination of this problem.
    Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix
    
    Specified by:
    
    testSphere in interface Matrix4dc
    
    Parameters:
    
    x - the x-coordinate of the sphere's center
    
    y - the y-coordinate of the sphere's center
    
    z - the z-coordinate of the sphere's center
    
    r - the sphere's radius
    
    Returns:
    
    true if the given sphere is partly or completely inside the frustum; false otherwise
  - testAab
```
public boolean testAab(double minX,
                       double minY,
                       double minZ,
                       double maxX,
                       double maxY,
                       double maxZ)
```
    Description copied from interface: Matrix4dc
    
    Test whether the given axis-aligned box is partly or completely within or outside of the frustum defined by this matrix. The box is specified via its min and max corner coordinates.
    This method assumes this matrix to be a transformation from any arbitrary coordinate system/space M into standard OpenGL clip space and tests whether the given axis-aligned box with its minimum corner coordinates (minX, minY, minZ) and maximum corner coordinates (maxX, maxY, maxZ) given in space M is within the clip space.
    When testing multiple axis-aligned boxes using the same transformation matrix, or more sophisticated/optimized intersection algorithms are required, FrustumIntersection should be used instead.
    The algorithm implemented by this method is conservative. This means that in certain circumstances a false positive can occur, when the method returns -1 for boxes that are actually not visible/do not intersect the frustum. See iquilezles.org for an examination of this problem.
    Reference: Efficient View Frustum Culling
    Reference: Fast Extraction of Viewing Frustum Planes from the World-View-Projection Matrix
    
    Specified by:
    
    testAab in interface Matrix4dc
    
    Parameters:
    
    minX - the x-coordinate of the minimum corner
    
    minY - the y-coordinate of the minimum corner
    
    minZ - the z-coordinate of the minimum corner
    
    maxX - the x-coordinate of the maximum corner
    
    maxY - the y-coordinate of the maximum corner
    
    maxZ - the z-coordinate of the maximum corner
    
    Returns:
    
    true if the axis-aligned box is completely or partly inside of the frustum; false otherwise
  - obliqueZ
```
public Matrix4d obliqueZ(double a,
                         double b)
```
    Apply an oblique projection transformation to this matrix with the given values for a and b.
    If M is this matrix and O the oblique transformation matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the oblique transformation will be applied first!
    The oblique transformation is defined as:
```
 x' = x + a*z
 y' = y + a*z
 z' = z
 
```
    or in matrix form:
```
 1 0 a 0
 0 1 b 0
 0 0 1 0
 0 0 0 1
 
```
    Parameters:
    
    a - the value for the z factor that applies to x
    
    b - the value for the z factor that applies to y
    
    Returns:
    
    this
  - obliqueZ
```
public Matrix4d obliqueZ(double a,
                         double b,
                         Matrix4d dest)
```
    Apply an oblique projection transformation to this matrix with the given values for a and b and store the result in dest.
    If M is this matrix and O the oblique transformation matrix, then the new matrix will be M * O. So when transforming a vector v with the new matrix by using M * O * v, the oblique transformation will be applied first!
    The oblique transformation is defined as:
```
 x' = x + a*z
 y' = y + a*z
 z' = z
 
```
    or in matrix form:
```
 1 0 a 0
 0 1 b 0
 0 0 1 0
 0 0 0 1
 
```
    Specified by:
    
    obliqueZ in interface Matrix4dc
    
    Parameters:
    
    a - the value for the z factor that applies to x
    
    b - the value for the z factor that applies to y
    
    dest - will hold the result
    
    Returns:
    
    dest
  - projViewFromRectangle
```
public static void projViewFromRectangle(Vector3d eye,
                                         Vector3d p,
                                         Vector3d x,
                                         Vector3d y,
                                         double nearFarDist,
                                         boolean zeroToOne,
                                         Matrix4d projDest,
                                         Matrix4d viewDest)
```
    Create a view and projection matrix from a given eye position, a given bottom left corner position p of the near plane rectangle and the extents of the near plane rectangle along its local x and y axes, and store the resulting matrices in projDest and viewDest.
    This method creates a view and perspective projection matrix assuming that there is a pinhole camera at position eye projecting the scene onto the near plane defined by the rectangle.
    All positions and lengths are in the same (world) unit.
    
    Parameters:
    
    eye - the position of the camera
    
    p - the bottom left corner of the near plane rectangle (will map to the bottom left corner in window coordinates)
    
    x - the direction and length of the local "bottom/top" X axis/side of the near plane rectangle
    
    y - the direction and length of the local "left/right" Y axis/side of the near plane rectangle
    
    nearFarDist - the distance between the far and near plane (the near plane will be calculated by this method). If the special value Double.POSITIVE_INFINITY is used, the far clipping plane will be at positive infinity. If the special value Double.NEGATIVE_INFINITY is used, the near and far planes will be swapped and the near clipping plane will be at positive infinity. If a negative value is used (except for Double.NEGATIVE_INFINITY) the near and far planes will be swapped
    
    zeroToOne - whether to use Vulkan's and Direct3D's NDC z range of [0..+1] when true or whether to use OpenGL's NDC z range of [-1..+1] when false
    
    projDest - will hold the resulting projection matrix
    
    viewDest - will hold the resulting view matrix
  - withLookAtUp
```
public Matrix4d withLookAtUp(Vector3dc up)
```
    Apply a transformation to this matrix to ensure that the local Y axis (as obtained by positiveY(Vector3d)) will be coplanar to the plane spanned by the local Z axis (as obtained by positiveZ(Vector3d)) and the given vector up.
    This effectively ensures that the resulting matrix will be equal to the one obtained from setLookAt(Vector3dc, Vector3dc, Vector3dc) called with the current local origin of this matrix (as obtained by originAffine(Vector3d)), the sum of this position and the negated local Z axis as well as the given vector up.
    This method must only be called on isAffine() matrices.
    
    Parameters:
    
    up - the up vector
    
    Returns:
    
    this
  - withLookAtUp
```
public Matrix4d withLookAtUp(Vector3dc up,
                             Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply a transformation to this matrix to ensure that the local Y axis (as obtained by Matrix4dc.positiveY(Vector3d)) will be coplanar to the plane spanned by the local Z axis (as obtained by Matrix4dc.positiveZ(Vector3d)) and the given vector up, and store the result in dest.
    This effectively ensures that the resulting matrix will be equal to the one obtained from calling setLookAt(Vector3dc, Vector3dc, Vector3dc) with the current local origin of this matrix (as obtained by Matrix4dc.originAffine(Vector3d)), the sum of this position and the negated local Z axis as well as the given vector up.
    This method must only be called on Matrix4dc.isAffine() matrices.
    
    Specified by:
    
    withLookAtUp in interface Matrix4dc
    
    Parameters:
    
    up - the up vector
    
    dest - will hold the result
    
    Returns:
    
    this
  - withLookAtUp
```
public Matrix4d withLookAtUp(double upX,
                             double upY,
                             double upZ)
```
    Apply a transformation to this matrix to ensure that the local Y axis (as obtained by positiveY(Vector3d)) will be coplanar to the plane spanned by the local Z axis (as obtained by positiveZ(Vector3d)) and the given vector (upX, upY, upZ).
    This effectively ensures that the resulting matrix will be equal to the one obtained from setLookAt(double, double, double, double, double, double, double, double, double) called with the current local origin of this matrix (as obtained by originAffine(Vector3d)), the sum of this position and the negated local Z axis as well as the given vector (upX, upY, upZ).
    This method must only be called on isAffine() matrices.
    
    Parameters:
    
    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
  - withLookAtUp
```
public Matrix4d withLookAtUp(double upX,
                             double upY,
                             double upZ,
                             Matrix4d dest)
```
    Description copied from interface: Matrix4dc
    
    Apply a transformation to this matrix to ensure that the local Y axis (as obtained by Matrix4dc.positiveY(Vector3d)) will be coplanar to the plane spanned by the local Z axis (as obtained by Matrix4dc.positiveZ(Vector3d)) and the given vector (upX, upY, upZ), and store the result in dest.
    This effectively ensures that the resulting matrix will be equal to the one obtained from calling setLookAt(double, double, double, double, double, double, double, double, double) called with the current local origin of this matrix (as obtained by Matrix4dc.originAffine(Vector3d)), the sum of this position and the negated local Z axis as well as the given vector (upX, upY, upZ).
    This method must only be called on Matrix4dc.isAffine() matrices.
    
    Specified by:
    
    withLookAtUp in interface Matrix4dc
    
    Parameters:
    
    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:
    
    this

Class Matrix4d

Field Summary

Fields inherited from interface org.joml.Matrix4dc

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

Matrix4d

Matrix4d

Matrix4d

Matrix4d

Matrix4d

Matrix4d

Matrix4d

Matrix4d

Matrix4d

Method Detail

assume

determineProperties

properties

m00

m01

m02

m03

m10

m11

m12

m13

m20

m21

m22

m23

m30

m31

m32

m33

m00

m01

m02

m03

m10

m11

m12

m13

m20

m21

m22

m23

m30

m31

m32

m33

_m00

_m01

_m02

_m03

_m10

_m11

_m12

_m13

_m20

_m21

_m22

_m23

_m30

_m31

_m32

_m33

identity

set

set

set

set

set

set3x3

set4x3

set4x3

set4x3

set

set