Matrix3d (JOML 1.9.16 API)

java.lang.Object
- org.joml.Matrix3d

All Implemented Interfaces:

Externalizable, Serializable, Matrix3dc

Direct Known Subclasses:

Matrix3dStack
```
public class Matrix3d
extends Object
implements Externalizable, Matrix3dc
```
Contains the definition of a 3x3 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
m01 m11 m21
m02 m12 m22

Author:

Richard Greenlees, Kai Burjack

See Also:

Serialized Form

Field Summary

Fields
Modifier and Type Field and Description

double m00

double m01

double m02

double m10

double m11

double m12

double m20

double m21

double m22

Fields
Modifier and Type	Field and Description
`double`	`m00`
`double`	`m01`
`double`	`m02`
`double`	`m10`
`double`	`m11`
`double`	`m12`
`double`	`m20`
`double`	`m21`
`double`	`m22`

Constructor Summary

Constructors
Constructor and Description
`Matrix3d()` Create a new `Matrix3d` and initialize it to `identity`.
`Matrix3d(DoubleBuffer buffer)` Create a new `Matrix3d` by reading its 9 double components from the given `DoubleBuffer` at the buffer's current position.
`Matrix3d(double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22)` Create a new `Matrix3d` and initialize its elements with the given values.
`Matrix3d(Matrix2dc mat)` Create a new `Matrix3d` by setting its uppper left 2x2 submatrix to the values of the given `Matrix2dc` and the rest to identity.
`Matrix3d(Matrix2fc mat)` Create a new `Matrix3d` by setting its uppper left 2x2 submatrix to the values of the given `Matrix2fc` and the rest to identity.
`Matrix3d(Matrix3dc mat)` Create a new `Matrix3d` and initialize it with the values from the given matrix.
`Matrix3d(Matrix3fc mat)` Create a new `Matrix3d` and initialize it with the values from the given matrix.
`Matrix3d(Matrix4dc mat)` Create a new `Matrix3d` and make it a copy of the upper left 3x3 of the given `Matrix4dc`.
`Matrix3d(Matrix4fc mat)` Create a new `Matrix3d` and make it a copy of the upper left 3x3 of the given `Matrix4fc`.
`Matrix3d(Vector3dc col0, Vector3dc col1, Vector3dc col2)` Create a new `Matrix3d` and initialize its three columns using the supplied vectors.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`Matrix3d`	`_m00(double m00)` Set the value of the matrix element at column 0 and row 0.
`Matrix3d`	`_m01(double m01)` Set the value of the matrix element at column 0 and row 1.
`Matrix3d`	`_m02(double m02)` Set the value of the matrix element at column 0 and row 2.
`Matrix3d`	`_m10(double m10)` Set the value of the matrix element at column 1 and row 0.
`Matrix3d`	`_m11(double m11)` Set the value of the matrix element at column 1 and row 1.
`Matrix3d`	`_m12(double m12)` Set the value of the matrix element at column 1 and row 2.
`Matrix3d`	`_m20(double m20)` Set the value of the matrix element at column 2 and row 0.
`Matrix3d`	`_m21(double m21)` Set the value of the matrix element at column 2 and row 1.
`Matrix3d`	`_m22(double m22)` Set the value of the matrix element at column 2 and row 2.
`Matrix3d`	`add(Matrix3dc other)` Component-wise add `this` and `other`.
`Matrix3d`	`add(Matrix3dc other, Matrix3d dest)` Component-wise add `this` and `other` and store the result in `dest`.
`double`	`determinant()` Return the determinant of this matrix.
`boolean`	`equals(Matrix3dc 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)`
`ByteBuffer`	`get(ByteBuffer buffer)` Store this matrix in column-major order into the supplied `ByteBuffer` at the current buffer `position`.
`double[]`	`get(double[] arr)` Store this matrix into the supplied double array in column-major order.
`double[]`	`get(double[] arr, int offset)` Store this matrix into the supplied double array in column-major order at the given offset.
`DoubleBuffer`	`get(DoubleBuffer buffer)` Store this matrix into the supplied `DoubleBuffer` at the current buffer `position` using column-major order.
`float[]`	`get(float[] arr)` Store the elements of this matrix as float values in column-major order into the supplied float array.
`float[]`	`get(float[] arr, int offset)` Store the elements of this matrix as float values in column-major order into the supplied float array at the given offset.
`FloatBuffer`	`get(FloatBuffer buffer)` Store this matrix in column-major order into the supplied `FloatBuffer` at the current buffer `position`.
`ByteBuffer`	`get(int index, ByteBuffer buffer)` Store this matrix in column-major order into the supplied `ByteBuffer` starting at the specified absolute buffer position/index.
`DoubleBuffer`	`get(int index, DoubleBuffer buffer)` Store this matrix into the supplied `DoubleBuffer` starting at the specified absolute buffer position/index using column-major order.
`FloatBuffer`	`get(int index, FloatBuffer buffer)` Store this matrix in column-major order into the supplied `FloatBuffer` starting at the specified absolute buffer position/index.
`double`	`get(int column, int row)` Get the matrix element value at the given column and row.
`Matrix3d`	`get(Matrix3d dest)` Get the current values of `this` matrix and store them into `dest`.
`Vector3d`	`getColumn(int column, Vector3d 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 `this` matrix and store the extracted Euler angles in `dest`.
`ByteBuffer`	`getFloats(ByteBuffer buffer)` Store the elements of this matrix as float values in column-major order into the supplied `ByteBuffer` at the current buffer `position`.
`ByteBuffer`	`getFloats(int index, ByteBuffer buffer)` Store the elements of this matrix as float values in column-major order into the supplied `ByteBuffer` starting at the specified absolute buffer position/index.
`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`.
`AxisAngle4f`	`getRotation(AxisAngle4f dest)` Get the current values of `this` matrix and store the represented rotation into the given `AxisAngle4f`.
`Vector3d`	`getRow(int row, Vector3d 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.
`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()`
`Matrix3d`	`identity()` Set this matrix to the identity.
`Matrix3d`	`invert()` Invert this matrix.
`Matrix3d`	`invert(Matrix3d dest)` Invert `this` matrix and store the result in `dest`.
`Matrix3d`	`lerp(Matrix3dc other, double t)` Linearly interpolate `this` and `other` using the given interpolation factor `t` and store the result in `this`.
`Matrix3d`	`lerp(Matrix3dc other, double t, Matrix3d dest)` Linearly interpolate `this` and `other` using the given interpolation factor `t` and store the result in `dest`.
`Matrix3d`	`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`.
`Matrix3d`	`lookAlong(double dirX, double dirY, double dirZ, double upX, double upY, double upZ, Matrix3d dest)` Apply a rotation transformation to this matrix to make `-z` point along `dir` and store the result in `dest`.
`Matrix3d`	`lookAlong(Vector3dc dir, Vector3dc up)` Apply a rotation transformation to this matrix to make `-z` point along `dir`.
`Matrix3d`	`lookAlong(Vector3dc dir, Vector3dc up, Matrix3d dest)` Apply a rotation transformation to this matrix to make `-z` point along `dir` and store the result in `dest`.
`double`	`m00()` Return the value of the matrix element at column 0 and row 0.
`Matrix3d`	`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.
`Matrix3d`	`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.
`Matrix3d`	`m02(double m02)` Set the value of the matrix element at column 0 and row 2.
`double`	`m10()` Return the value of the matrix element at column 1 and row 0.
`Matrix3d`	`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.
`Matrix3d`	`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.
`Matrix3d`	`m12(double m12)` Set the value of the matrix element at column 1 and row 2.
`double`	`m20()` Return the value of the matrix element at column 2 and row 0.
`Matrix3d`	`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.
`Matrix3d`	`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.
`Matrix3d`	`m22(double m22)` Set the value of the matrix element at column 2 and row 2.
`Matrix3d`	`mul(Matrix3dc right)` Multiply this matrix by the supplied matrix.
`Matrix3d`	`mul(Matrix3dc right, Matrix3d dest)` Multiply this matrix by the supplied matrix and store the result in `dest`.
`Matrix3d`	`mul(Matrix3fc right)` Multiply this matrix by the supplied matrix.
`Matrix3d`	`mul(Matrix3fc right, Matrix3d dest)` Multiply this matrix by the supplied matrix and store the result in `dest`.
`Matrix3d`	`mulComponentWise(Matrix3dc other)` Component-wise multiply `this` by `other`.
`Matrix3d`	`mulComponentWise(Matrix3dc other, Matrix3d dest)` Component-wise multiply `this` by `other` and store the result in `dest`.
`Matrix3d`	`mulLocal(Matrix3dc left)` Pre-multiply this matrix by the supplied `left` matrix and store the result in `this`.
`Matrix3d`	`mulLocal(Matrix3dc left, Matrix3d dest)` Pre-multiply this matrix by the supplied `left` matrix and store the result in `dest`.
`Matrix3d`	`normal()` Set `this` matrix to its own normal matrix.
`Matrix3d`	`normal(Matrix3d dest)` Compute a normal matrix from `this` matrix and store it into `dest`.
`Vector3d`	`normalizedPositiveX(Vector3d dir)` Obtain the direction of `+X` before the transformation represented by `this` orthogonal matrix is applied.
`Vector3d`	`normalizedPositiveY(Vector3d dir)` Obtain the direction of `+Y` before the transformation represented by `this` orthogonal matrix is applied.
`Vector3d`	`normalizedPositiveZ(Vector3d dir)` Obtain the direction of `+Z` before the transformation represented by `this` orthogonal matrix is applied.
`Matrix3d`	`obliqueZ(double a, double b)` Apply an oblique projection transformation to this matrix with the given values for `a` and `b`.
`Matrix3d`	`obliqueZ(double a, double b, Matrix3d dest)` Apply an oblique projection transformation to this matrix with the given values for `a` and `b` and store the result in `dest`.
`Vector3d`	`positiveX(Vector3d dir)` Obtain the direction of `+X` before the transformation represented by `this` matrix is applied.
`Vector3d`	`positiveY(Vector3d dir)` Obtain the direction of `+Y` before the transformation represented by `this` matrix is applied.
`Vector3d`	`positiveZ(Vector3d dir)` Obtain the direction of `+Z` before the transformation represented by `this` matrix is applied.
`void`	`readExternal(ObjectInput in)`
`Matrix3d`	`rotate(AxisAngle4d axisAngle)` Apply a rotation transformation, rotating about the given `AxisAngle4d`, to this matrix.
`Matrix3d`	`rotate(AxisAngle4d axisAngle, Matrix3d dest)` Apply a rotation transformation, rotating about the given `AxisAngle4d` and store the result in `dest`.
`Matrix3d`	`rotate(AxisAngle4f axisAngle)` Apply a rotation transformation, rotating about the given `AxisAngle4f`, to this matrix.
`Matrix3d`	`rotate(AxisAngle4f axisAngle, Matrix3d dest)` Apply a rotation transformation, rotating about the given `AxisAngle4f` and store the result in `dest`.
`Matrix3d`	`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.
`Matrix3d`	`rotate(double ang, double x, double y, double z, Matrix3d 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`.
`Matrix3d`	`rotate(double angle, Vector3dc axis)` Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.
`Matrix3d`	`rotate(double angle, Vector3dc axis, Matrix3d dest)` Apply a rotation transformation, rotating the given radians about the specified axis and store the result in `dest`.
`Matrix3d`	`rotate(double angle, Vector3fc axis)` Apply a rotation transformation, rotating the given radians about the specified axis, to this matrix.
`Matrix3d`	`rotate(double angle, Vector3fc axis, Matrix3d dest)` Apply a rotation transformation, rotating the given radians about the specified axis and store the result in `dest`.
`Matrix3d`	`rotate(Quaterniondc quat)` Apply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this matrix.
`Matrix3d`	`rotate(Quaterniondc quat, Matrix3d dest)` Apply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this matrix and store the result in `dest`.
`Matrix3d`	`rotate(Quaternionfc quat)` Apply the rotation - and possibly scaling - transformation of the given `Quaternionfc` to this matrix.
`Matrix3d`	`rotate(Quaternionfc quat, Matrix3d dest)` Apply the rotation - and possibly scaling - transformation of the given `Quaternionfc` to this matrix and store the result in `dest`.
`Matrix3d`	`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.
`Matrix3d`	`rotateLocal(double ang, double x, double y, double z, Matrix3d 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`.
`Matrix3d`	`rotateLocal(Quaterniondc quat)` Pre-multiply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this matrix.
`Matrix3d`	`rotateLocal(Quaterniondc quat, Matrix3d dest)` Pre-multiply the rotation - and possibly scaling - transformation of the given `Quaterniondc` to this matrix and store the result in `dest`.
`Matrix3d`	`rotateLocal(Quaternionfc quat)` Pre-multiply the rotation - and possibly scaling - transformation of the given `Quaternionfc` to this matrix.
`Matrix3d`	`rotateLocal(Quaternionfc quat, Matrix3d dest)` Pre-multiply the rotation - and possibly scaling - transformation of the given `Quaternionfc` to this matrix and store the result in `dest`.
`Matrix3d`	`rotateLocalX(double ang)` Pre-multiply a rotation to this matrix by rotating the given amount of radians about the X axis.
`Matrix3d`	`rotateLocalX(double ang, Matrix3d 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`.
`Matrix3d`	`rotateLocalY(double ang)` Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Y axis.
`Matrix3d`	`rotateLocalY(double ang, Matrix3d 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`.
`Matrix3d`	`rotateLocalZ(double ang)` Pre-multiply a rotation to this matrix by rotating the given amount of radians about the Z axis.
`Matrix3d`	`rotateLocalZ(double ang, Matrix3d 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`.
`Matrix3d`	`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 `direction`.
`Matrix3d`	`rotateTowards(double dirX, double dirY, double dirZ, double upX, double upY, double upZ, Matrix3d 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`.
`Matrix3d`	`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`.
`Matrix3d`	`rotateTowards(Vector3dc direction, Vector3dc up, Matrix3d 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`.
`Matrix3d`	`rotateX(double ang)` Apply rotation about the X axis to this matrix by rotating the given amount of radians.
`Matrix3d`	`rotateX(double ang, Matrix3d dest)` Apply rotation about the X axis to this matrix by rotating the given amount of radians and store the result in `dest`.
`Matrix3d`	`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.
`Matrix3d`	`rotateXYZ(double angleX, double angleY, double angleZ, Matrix3d 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`.
`Matrix3d`	`rotateY(double ang)` Apply rotation about the Y axis to this matrix by rotating the given amount of radians.
`Matrix3d`	`rotateY(double ang, Matrix3d dest)` Apply rotation about the Y axis to this matrix by rotating the given amount of radians and store the result in `dest`.
`Matrix3d`	`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.
`Matrix3d`	`rotateYXZ(double angleY, double angleX, double angleZ, Matrix3d 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`.
`Matrix3d`	`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.
`Matrix3d`	`rotateZ(double ang)` Apply rotation about the Z axis to this matrix by rotating the given amount of radians.
`Matrix3d`	`rotateZ(double ang, Matrix3d dest)` Apply rotation about the Z axis to this matrix by rotating the given amount of radians and store the result in `dest`.
`Matrix3d`	`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.
`Matrix3d`	`rotateZYX(double angleZ, double angleY, double angleX, Matrix3d 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`.
`Matrix3d`	`rotation(AxisAngle4d axisAngle)` Set this matrix to a rotation transformation using the given `AxisAngle4d`.
`Matrix3d`	`rotation(AxisAngle4f axisAngle)` Set this matrix to a rotation transformation using the given `AxisAngle4f`.
`Matrix3d`	`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.
`Matrix3d`	`rotation(double angle, Vector3dc axis)` Set this matrix to a rotation matrix which rotates the given radians about a given axis.
`Matrix3d`	`rotation(double angle, Vector3fc axis)` Set this matrix to a rotation matrix which rotates the given radians about a given axis.
`Matrix3d`	`rotation(Quaterniondc quat)` Set this matrix to the rotation - and possibly scaling - transformation of the given `Quaterniondc`.
`Matrix3d`	`rotation(Quaternionfc quat)` Set this matrix to the rotation - and possibly scaling - transformation of the given `Quaternionfc`.
`Matrix3d`	`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 `center - eye`.
`Matrix3d`	`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 `center - eye`.
`Matrix3d`	`rotationX(double ang)` Set this matrix to a rotation transformation about the X axis.
`Matrix3d`	`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.
`Matrix3d`	`rotationY(double ang)` Set this matrix to a rotation transformation about the Y axis.
`Matrix3d`	`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.
`Matrix3d`	`rotationZ(double ang)` Set this matrix to a rotation transformation about the Z axis.
`Matrix3d`	`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.
`Matrix3d`	`scale(double xyz)` Apply scaling to this matrix by uniformly scaling all base axes by the given `xyz` factor.
`Matrix3d`	`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.
`Matrix3d`	`scale(double x, double y, double z, Matrix3d 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`.
`Matrix3d`	`scale(double xyz, Matrix3d dest)` Apply scaling to this matrix by uniformly scaling all base axes by the given `xyz` factor and store the result in `dest`.
`Matrix3d`	`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.
`Matrix3d`	`scale(Vector3dc xyz, Matrix3d 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`.
`Matrix3d`	`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.
`Matrix3d`	`scaleLocal(double x, double y, double z, Matrix3d 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`.
`Matrix3d`	`scaling(double factor)` Set this matrix to be a simple scale matrix, which scales all axes uniformly by the given factor.
`Matrix3d`	`scaling(double x, double y, double z)` Set this matrix to be a simple scale matrix.
`Matrix3d`	`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.
`Matrix3d`	`set(AxisAngle4d axisAngle)` Set this matrix to be equivalent to the rotation specified by the given `AxisAngle4d`.
`Matrix3d`	`set(AxisAngle4f axisAngle)` Set this matrix to be equivalent to the rotation specified by the given `AxisAngle4f`.
`Matrix3d`	`set(ByteBuffer buffer)` Set the values of this matrix by reading 9 double values from the given `ByteBuffer` in column-major order, starting at its current position.
`Matrix3d`	`set(double[] m)` Set the values in this matrix based on the supplied double array.
`Matrix3d`	`set(DoubleBuffer buffer)` Set the values of this matrix by reading 9 double values from the given `DoubleBuffer` in column-major order, starting at its current position.
`Matrix3d`	`set(double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22)` Set the values within this matrix to the supplied double values.
`Matrix3d`	`set(float[] m)` Set the values in this matrix based on the supplied double array.
`Matrix3d`	`set(FloatBuffer buffer)` Set the values of this matrix by reading 9 float values from the given `FloatBuffer` in column-major order, starting at its current position.
`Matrix3d`	`set(int column, int row, double value)` Set the matrix element at the given column and row to the specified value.
`Matrix3d`	`set(Matrix2dc mat)` Set the upper left 2x2 submatrix of this `Matrix3d` to the given `Matrix2dc` and the rest to identity.
`Matrix3d`	`set(Matrix2fc mat)` Set the upper left 2x2 submatrix of this `Matrix3d` to the given `Matrix2fc` and the rest to identity.
`Matrix3d`	`set(Matrix3dc m)` Set the values in this matrix to the ones in m.
`Matrix3d`	`set(Matrix3fc m)` Set the values in this matrix to the ones in m.
`Matrix3d`	`set(Matrix4dc mat)` Set the elements of this matrix to the upper left 3x3 of the given `Matrix4dc`.
`Matrix3d`	`set(Matrix4fc mat)` Set the elements of this matrix to the upper left 3x3 of the given `Matrix4fc`.
`Matrix3d`	`set(Matrix4x3dc m)` Set the elements of this matrix to the left 3x3 submatrix of `m`.
`Matrix3d`	`set(Quaterniondc q)` Set this matrix to a rotation - and possibly scaling - equivalent to the given quaternion.
`Matrix3d`	`set(Quaternionfc q)` Set this matrix to a rotation - and possibly scaling - equivalent to the given quaternion.
`Matrix3d`	`set(Vector3dc col0, Vector3dc col1, Vector3dc col2)` Set the three columns of this matrix to the supplied vectors, respectively.
`Matrix3d`	`setColumn(int column, double x, double y, double z)` Set the column at the given `column` index, starting with `0`.
`Matrix3d`	`setColumn(int column, Vector3dc src)` Set the column at the given `column` index, starting with `0`.
`Matrix3d`	`setFloats(ByteBuffer buffer)` Set the values of this matrix by reading 9 float values from the given `ByteBuffer` in column-major order, starting at its current position.
`Matrix3d`	`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`.
`Matrix3d`	`setLookAlong(Vector3dc dir, Vector3dc up)` Set this matrix to a rotation transformation to make `-z` point along `dir`.
`Matrix3d`	`setRow(int row, double x, double y, double z)` Set the row at the given `row` index, starting with `0`.
`Matrix3d`	`setRow(int row, Vector3dc src)` Set the row at the given `row` index, starting with `0`.
`Matrix3d`	`setSkewSymmetric(double a, double b, double c)` Set this matrix to a skew-symmetric matrix using the following layout:
`Matrix3d`	`sub(Matrix3dc subtrahend)` Component-wise subtract `subtrahend` from `this`.
`Matrix3d`	`sub(Matrix3dc subtrahend, Matrix3d dest)` Component-wise subtract `subtrahend` from `this` and store the result in `dest`.
`Matrix3d`	`swap(Matrix3d other)` Exchange the values of `this` matrix with the given `other` matrix.
`String`	`toString()` Return a string representation of this matrix.
`String`	`toString(NumberFormat formatter)` Return a string representation of this matrix by formatting the matrix elements with the given `NumberFormat`.
`Vector3d`	`transform(double x, double y, double z, Vector3d dest)` Transform the vector `(x, y, z)` by this matrix and store the result in `dest`.
`Vector3d`	`transform(Vector3d v)` Transform the given vector by this matrix.
`Vector3d`	`transform(Vector3dc v, Vector3d dest)` Transform the given vector by this matrix and store the result in `dest`.
`Vector3f`	`transform(Vector3f v)` Transform the given vector by this matrix.
`Vector3f`	`transform(Vector3fc v, Vector3f dest)` Transform the given vector by this matrix and store the result in `dest`.
`Vector3d`	`transformTranspose(double x, double y, double z, Vector3d dest)` Transform the vector `(x, y, z)` by the transpose of this matrix and store the result in `dest`.
`Vector3d`	`transformTranspose(Vector3d v)` Transform the given vector by the transpose of this matrix.
`Vector3d`	`transformTranspose(Vector3dc v, Vector3d dest)` Transform the given vector by the transpose of this matrix and store the result in `dest`.
`Matrix3d`	`transpose()` Transpose this matrix.
`Matrix3d`	`transpose(Matrix3d dest)` Transpose `this` matrix and store the result in `dest`.
`void`	`writeExternal(ObjectOutput out)`
`Matrix3d`	`zero()` Set all the values within this matrix to 0.

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

- Field Detail
  - m00
```
public double m00
```
  - m01
```
public double m01
```
  - m02
```
public double m02
```
  - m10
```
public double m10
```
  - m11
```
public double m11
```
  - m12
```
public double m12
```
  - m20
```
public double m20
```
  - m21
```
public double m21
```
  - m22
```
public double m22
```
- Constructor Detail
  - Matrix3d
```
public Matrix3d()
```
    Create a new Matrix3d and initialize it to identity.
  - Matrix3d
```
public Matrix3d(Matrix2dc mat)
```
    Create a new Matrix3d by setting its uppper left 2x2 submatrix to the values of the given Matrix2dc and the rest to identity.
    
    Parameters:
    
    mat - the Matrix2dc
  - Matrix3d
```
public Matrix3d(Matrix2fc mat)
```
    Create a new Matrix3d by setting its uppper left 2x2 submatrix to the values of the given Matrix2fc and the rest to identity.
    
    Parameters:
    
    mat - the Matrix2fc
  - Matrix3d
```
public Matrix3d(Matrix3dc mat)
```
    Create a new Matrix3d and initialize it with the values from the given matrix.
    
    Parameters:
    
    mat - the matrix to initialize this matrix with
  - Matrix3d
```
public Matrix3d(Matrix3fc mat)
```
    Create a new Matrix3d and initialize it with the values from the given matrix.
    
    Parameters:
    
    mat - the matrix to initialize this matrix with
  - Matrix3d
```
public Matrix3d(Matrix4fc mat)
```
    Create a new Matrix3d and make it a copy of the upper left 3x3 of the given Matrix4fc.
    
    Parameters:
    
    mat - the Matrix4fc to copy the values from
  - Matrix3d
```
public Matrix3d(Matrix4dc mat)
```
    Create a new Matrix3d and make it a copy of the upper left 3x3 of the given Matrix4dc.
    
    Parameters:
    
    mat - the Matrix4dc to copy the values from
  - Matrix3d
```
public Matrix3d(double m00,
                double m01,
                double m02,
                double m10,
                double m11,
                double m12,
                double m20,
                double m21,
                double m22)
```
    Create a new Matrix3d and initialize its elements with the given values.
    
    Parameters:
    
    m00 - the value of m00
    
    m01 - the value of m01
    
    m02 - the value of m02
    
    m10 - the value of m10
    
    m11 - the value of m11
    
    m12 - the value of m12
    
    m20 - the value of m20
    
    m21 - the value of m21
    
    m22 - the value of m22
  - Matrix3d
```
public Matrix3d(DoubleBuffer buffer)
```
    Create a new Matrix3d by reading its 9 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
  - Matrix3d
```
public Matrix3d(Vector3dc col0,
                Vector3dc col1,
                Vector3dc col2)
```
    Create a new Matrix3d and initialize its three columns using the supplied vectors.
    
    Parameters:
    
    col0 - the first column
    
    col1 - the second column
    
    col2 - the third column
- Method Detail
  - m00
```
public double m00()
```
    Description copied from interface: Matrix3dc
    
    Return the value of the matrix element at column 0 and row 0.
    
    Specified by:
    
    m00 in interface Matrix3dc
    
    Returns:
    
    the value of the matrix element
  - m01
```
public double m01()
```
    Description copied from interface: Matrix3dc
    
    Return the value of the matrix element at column 0 and row 1.
    
    Specified by:
    
    m01 in interface Matrix3dc
    
    Returns:
    
    the value of the matrix element
  - m02
```
public double m02()
```
    Description copied from interface: Matrix3dc
    
    Return the value of the matrix element at column 0 and row 2.
    
    Specified by:
    
    m02 in interface Matrix3dc
    
    Returns:
    
    the value of the matrix element
  - m10
```
public double m10()
```
    Description copied from interface: Matrix3dc
    
    Return the value of the matrix element at column 1 and row 0.
    
    Specified by:
    
    m10 in interface Matrix3dc
    
    Returns:
    
    the value of the matrix element
  - m11
```
public double m11()
```
    Description copied from interface: Matrix3dc
    
    Return the value of the matrix element at column 1 and row 1.
    
    Specified by:
    
    m11 in interface Matrix3dc
    
    Returns:
    
    the value of the matrix element
  - m12
```
public double m12()
```
    Description copied from interface: Matrix3dc
    
    Return the value of the matrix element at column 1 and row 2.
    
    Specified by:
    
    m12 in interface Matrix3dc
    
    Returns:
    
    the value of the matrix element
  - m20
```
public double m20()
```
    Description copied from interface: Matrix3dc
    
    Return the value of the matrix element at column 2 and row 0.
    
    Specified by:
    
    m20 in interface Matrix3dc
    
    Returns:
    
    the value of the matrix element
  - m21
```
public double m21()
```
    Description copied from interface: Matrix3dc
    
    Return the value of the matrix element at column 2 and row 1.
    
    Specified by:
    
    m21 in interface Matrix3dc
    
    Returns:
    
    the value of the matrix element
  - m22
```
public double m22()
```
    Description copied from interface: Matrix3dc
    
    Return the value of the matrix element at column 2 and row 2.
    
    Specified by:
    
    m22 in interface Matrix3dc
    
    Returns:
    
    the value of the matrix element
  - m00
```
public Matrix3d 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 Matrix3d 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 Matrix3d m02(double m02)
```
    Set the value of the matrix element at column 0 and row 2.
    
    Parameters:
    
    m02 - the new value
    
    Returns:
    
    this
  - m10
```
public Matrix3d 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 Matrix3d 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 Matrix3d m12(double m12)
```
    Set the value of the matrix element at column 1 and row 2.
    
    Parameters:
    
    m12 - the new value
    
    Returns:
    
    this
  - m20
```
public Matrix3d 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 Matrix3d 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 Matrix3d m22(double m22)
```
    Set the value of the matrix element at column 2 and row 2.
    
    Parameters:
    
    m22 - the new value
    
    Returns:
    
    this
  - _m00
```
public Matrix3d _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 Matrix3d _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 Matrix3d _m02(double m02)
```
    Set the value of the matrix element at column 0 and row 2.
    
    Parameters:
    
    m02 - the new value
    
    Returns:
    
    this
  - _m10
```
public Matrix3d _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 Matrix3d _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 Matrix3d _m12(double m12)
```
    Set the value of the matrix element at column 1 and row 2.
    
    Parameters:
    
    m12 - the new value
    
    Returns:
    
    this
  - _m20
```
public Matrix3d _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 Matrix3d _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 Matrix3d _m22(double m22)
```
    Set the value of the matrix element at column 2 and row 2.
    
    Parameters:
    
    m22 - the new value
    
    Returns:
    
    this
  - set
```
public Matrix3d set(Matrix3dc m)
```
    Set the values in this matrix to the ones in m.
    
    Parameters:
    
    m - the matrix whose values will be copied
    
    Returns:
    
    this
  - set
```
public Matrix3d set(Matrix3fc m)
```
    Set the values in this matrix to the ones in m.
    
    Parameters:
    
    m - the matrix whose values will be copied
    
    Returns:
    
    this
  - set
```
public Matrix3d set(Matrix4x3dc m)
```
    Set the elements of this matrix to the left 3x3 submatrix of m.
    
    Parameters:
    
    m - the matrix to copy the elements from
    
    Returns:
    
    this
  - set
```
public Matrix3d set(Matrix4fc mat)
```
    Set the elements of this matrix to the upper left 3x3 of the given Matrix4fc.
    
    Parameters:
    
    mat - the Matrix4fc to copy the values from
    
    Returns:
    
    this
  - set
```
public Matrix3d set(Matrix4dc mat)
```
    Set the elements of this matrix to the upper left 3x3 of the given Matrix4dc.
    
    Parameters:
    
    mat - the Matrix4dc to copy the values from
    
    Returns:
    
    this
  - set
```
public Matrix3d set(Matrix2fc mat)
```
    Set the upper left 2x2 submatrix of this Matrix3d to the given Matrix2fc and the rest to identity.
    
    Parameters:
    
    mat - the Matrix2fc
    
    Returns:
    
    this
    
    See Also:
    
    Matrix3d(Matrix2fc)
  - set
```
public Matrix3d set(Matrix2dc mat)
```
    Set the upper left 2x2 submatrix of this Matrix3d to the given Matrix2dc and the rest to identity.
    
    Parameters:
    
    mat - the Matrix2dc
    
    Returns:
    
    this
    
    See Also:
    
    Matrix3d(Matrix2dc)
  - set
```
public Matrix3d 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 Matrix3d 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 Matrix3d set(Quaternionfc q)
```
    Set this matrix to a rotation - and possibly scaling - equivalent to the given quaternion.
    This method is equivalent to calling: rotation(q)
    Reference: http://www.euclideanspace.com/
    
    Parameters:
    
    q - the quaternion
    
    Returns:
    
    this
    
    See Also:
    
    rotation(Quaternionfc)
  - set
```
public Matrix3d set(Quaterniondc q)
```
    Set this matrix to a rotation - and possibly scaling - equivalent to the given quaternion.
    This method is equivalent to calling: rotation(q)
    Reference: http://www.euclideanspace.com/
    
    Parameters:
    
    q - the quaternion
    
    Returns:
    
    this
    
    See Also:
    
    rotation(Quaterniondc)
  - mul
```
public Matrix3d mul(Matrix3dc right)
```
    Multiply this matrix by the supplied matrix. This matrix will be the left one.
    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
    
    Returns:
    
    this
  - mul
```
public Matrix3d mul(Matrix3dc right,
                    Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    Multiply this matrix by the supplied matrix and store the result in dest. This matrix will be the left one.
    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 Matrix3dc
    
    Parameters:
    
    right - the right operand
    
    dest - will hold the result
    
    Returns:
    
    dest
  - mulLocal
```
public Matrix3d mulLocal(Matrix3dc 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 Matrix3d mulLocal(Matrix3dc left,
                         Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    Parameters:
    
    left - the left operand of the matrix multiplication
    
    dest - the destination matrix, which will hold the result
    
    Returns:
    
    dest
  - mul
```
public Matrix3d mul(Matrix3fc right)
```
    Multiply this matrix by the supplied matrix. This matrix will be the left one.
    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
    
    Returns:
    
    this
  - mul
```
public Matrix3d mul(Matrix3fc right,
                    Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    Multiply this matrix by the supplied matrix and store the result in dest. This matrix will be the left one.
    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 Matrix3dc
    
    Parameters:
    
    right - the right operand
    
    dest - will hold the result
    
    Returns:
    
    dest
  - set
```
public Matrix3d set(double m00,
                    double m01,
                    double m02,
                    double m10,
                    double m11,
                    double m12,
                    double m20,
                    double m21,
                    double m22)
```
    Set the values within this matrix to the supplied double values. The result looks like this:
    m00, m10, m20
    m01, m11, m21
    m02, m12, m22
    
    Parameters:
    
    m00 - the new value of m00
    
    m01 - the new value of m01
    
    m02 - the new value of m02
    
    m10 - the new value of m10
    
    m11 - the new value of m11
    
    m12 - the new value of m12
    
    m20 - the new value of m20
    
    m21 - the new value of m21
    
    m22 - the new value of m22
    
    Returns:
    
    this
  - set
```
public Matrix3d set(double[] m)
```
    Set the values in this matrix based on the supplied double array. The result looks like this:
    0, 3, 6
    1, 4, 7
    2, 5, 8
    
    Only uses the first 9 values, all others are ignored.
    
    Parameters:
    
    m - the array to read the matrix values from
    
    Returns:
    
    this
  - set
```
public Matrix3d set(float[] m)
```
    Set the values in this matrix based on the supplied double array. The result looks like this:
    0, 3, 6
    1, 4, 7
    2, 5, 8
    
    Only uses the first 9 values, all others are ignored
    
    Parameters:
    
    m - the array to read the matrix values from
    
    Returns:
    
    this
  - determinant
```
public double determinant()
```
    Description copied from interface: Matrix3dc
    
    Return the determinant of this matrix.
    
    Specified by:
    
    determinant in interface Matrix3dc
    
    Returns:
    
    the determinant
  - invert
```
public Matrix3d invert()
```
    Invert this matrix.
    
    Returns:
    
    this
  - invert
```
public Matrix3d invert(Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    Invert this matrix and store the result in dest.
    
    Specified by:
    
    invert in interface Matrix3dc
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
  - transpose
```
public Matrix3d transpose()
```
    Transpose this matrix.
    
    Returns:
    
    this
  - transpose
```
public Matrix3d transpose(Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    Transpose this matrix and store the result in dest.
    
    Specified by:
    
    transpose in interface Matrix3dc
    
    Parameters:
    
    dest - will hold the result
    
    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 Matrix3d get(Matrix3d dest)
```
    Get the current values of this matrix and store them into dest.
    This is the reverse method of set(Matrix3dc) and allows to obtain intermediate calculation results when chaining multiple transformations.
    
    Specified by:
    
    get in interface Matrix3dc
    
    Parameters:
    
    dest - the destination matrix
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    set(Matrix3dc)
  - getRotation
```
public AxisAngle4f getRotation(AxisAngle4f dest)
```
    Description copied from interface: Matrix3dc
    
    Get the current values of this matrix and store the represented rotation into the given AxisAngle4f.
    
    Specified by:
    
    getRotation in interface Matrix3dc
    
    Parameters:
    
    dest - the destination AxisAngle4f
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    AxisAngle4f.set(Matrix3dc)
  - getUnnormalizedRotation
```
public Quaternionf getUnnormalizedRotation(Quaternionf dest)
```
    Description copied from interface: Matrix3dc
    
    Get the current values of this matrix and store the represented rotation into the given Quaternionf.
    This method assumes that the three column vectors of this matrix are not normalized and thus allows to ignore any additional scaling factor that is applied to the matrix.
    
    Specified by:
    
    getUnnormalizedRotation in interface Matrix3dc
    
    Parameters:
    
    dest - the destination Quaternionf
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    Quaternionf.setFromUnnormalized(Matrix3dc)
  - getNormalizedRotation
```
public Quaternionf getNormalizedRotation(Quaternionf dest)
```
    Description copied from interface: Matrix3dc
    
    Get the current values of this matrix and store the represented rotation into the given Quaternionf.
    This method assumes that the three column vectors of this matrix are normalized.
    
    Specified by:
    
    getNormalizedRotation in interface Matrix3dc
    
    Parameters:
    
    dest - the destination Quaternionf
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    Quaternionf.setFromNormalized(Matrix3dc)
  - getUnnormalizedRotation
```
public Quaterniond getUnnormalizedRotation(Quaterniond dest)
```
    Description copied from interface: Matrix3dc
    
    Get the current values of this matrix and store the represented rotation into the given Quaterniond.
    This method assumes that the three column vectors of this matrix are not normalized and thus allows to ignore any additional scaling factor that is applied to the matrix.
    
    Specified by:
    
    getUnnormalizedRotation in interface Matrix3dc
    
    Parameters:
    
    dest - the destination Quaterniond
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    Quaterniond.setFromUnnormalized(Matrix3dc)
  - getNormalizedRotation
```
public Quaterniond getNormalizedRotation(Quaterniond dest)
```
    Description copied from interface: Matrix3dc
    
    Get the current values of this matrix and store the represented rotation into the given Quaterniond.
    This method assumes that the three column vectors of this matrix are normalized.
    
    Specified by:
    
    getNormalizedRotation in interface Matrix3dc
    
    Parameters:
    
    dest - the destination Quaterniond
    
    Returns:
    
    the passed in destination
    
    See Also:
    
    Quaterniond.setFromNormalized(Matrix3dc)
  - get
```
public DoubleBuffer get(DoubleBuffer buffer)
```
    Description copied from interface: Matrix3dc
    
    Store this matrix into the supplied DoubleBuffer at the current buffer position using column-major order.
    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 Matrix3dc.get(int, DoubleBuffer), taking the absolute position as parameter.
    
    Specified by:
    
    get in interface Matrix3dc
    
    Parameters:
    
    buffer - will receive the values of this matrix in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    Matrix3dc.get(int, DoubleBuffer)
  - get
```
public DoubleBuffer get(int index,
                        DoubleBuffer buffer)
```
    Description copied from interface: Matrix3dc
    
    Store this matrix into the supplied DoubleBuffer starting at the specified absolute buffer position/index using column-major order.
    This method will not increment the position of the given DoubleBuffer.
    
    Specified by:
    
    get in interface Matrix3dc
    
    Parameters:
    
    index - the absolute position into the DoubleBuffer
    
    buffer - will receive the values of this matrix in column-major order
    
    Returns:
    
    the passed in buffer
  - get
```
public FloatBuffer get(FloatBuffer buffer)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc.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 Matrix3dc
    
    Parameters:
    
    buffer - will receive the values of this matrix in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    Matrix3dc.get(int, FloatBuffer)
  - get
```
public FloatBuffer get(int index,
                       FloatBuffer buffer)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    Parameters:
    
    index - the absolute position into the FloatBuffer
    
    buffer - will receive the values of this matrix in column-major order
    
    Returns:
    
    the passed in buffer
  - get
```
public ByteBuffer get(ByteBuffer buffer)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc.get(int, ByteBuffer), taking the absolute position as parameter.
    
    Specified by:
    
    get in interface Matrix3dc
    
    Parameters:
    
    buffer - will receive the values of this matrix in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    Matrix3dc.get(int, ByteBuffer)
  - get
```
public ByteBuffer get(int index,
                      ByteBuffer buffer)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    Parameters:
    
    index - the absolute position into the ByteBuffer
    
    buffer - will receive the values of this matrix in column-major order
    
    Returns:
    
    the passed in buffer
  - getFloats
```
public ByteBuffer getFloats(ByteBuffer buffer)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc.getFloats(int, ByteBuffer), taking the absolute position as parameter.
    
    Specified by:
    
    getFloats in interface Matrix3dc
    
    Parameters:
    
    buffer - will receive the elements of this matrix as float values in column-major order at its current position
    
    Returns:
    
    the passed in buffer
    
    See Also:
    
    Matrix3dc.getFloats(int, ByteBuffer)
  - getFloats
```
public ByteBuffer getFloats(int index,
                            ByteBuffer buffer)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    Parameters:
    
    index - the absolute position into the ByteBuffer
    
    buffer - will receive the elements of this matrix as float values in column-major order
    
    Returns:
    
    the passed in buffer
  - get
```
public double[] get(double[] arr,
                    int offset)
```
    Description copied from interface: Matrix3dc
    
    Store this matrix into the supplied double array in column-major order at the given offset.
    
    Specified by:
    
    get in interface Matrix3dc
    
    Parameters:
    
    arr - the array to write the matrix values into
    
    offset - the offset into the array
    
    Returns:
    
    the passed in array
  - get
```
public double[] get(double[] arr)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc.get(double[], int).
    
    Specified by:
    
    get in interface Matrix3dc
    
    Parameters:
    
    arr - the array to write the matrix values into
    
    Returns:
    
    the passed in array
    
    See Also:
    
    Matrix3dc.get(double[], int)
  - get
```
public float[] get(float[] arr,
                   int offset)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    Parameters:
    
    arr - the array to write the matrix values into
    
    offset - the offset into the array
    
    Returns:
    
    the passed in array
  - get
```
public float[] get(float[] arr)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc.get(float[], int).
    
    Specified by:
    
    get in interface Matrix3dc
    
    Parameters:
    
    arr - the array to write the matrix values into
    
    Returns:
    
    the passed in array
    
    See Also:
    
    Matrix3dc.get(float[], int)
  - set
```
public Matrix3d set(DoubleBuffer buffer)
```
    Set the values of this matrix by reading 9 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 Matrix3d set(FloatBuffer buffer)
```
    Set the values of this matrix by reading 9 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 Matrix3d set(ByteBuffer buffer)
```
    Set the values of this matrix by reading 9 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 Matrix3d setFloats(ByteBuffer buffer)
```
    Set the values of this matrix by reading 9 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 Matrix3d set(Vector3dc col0,
                    Vector3dc col1,
                    Vector3dc col2)
```
    Set the three columns of this matrix to the supplied vectors, respectively.
    
    Parameters:
    
    col0 - the first column
    
    col1 - the second column
    
    col2 - the third column
    
    Returns:
    
    this
  - zero
```
public Matrix3d zero()
```
    Set all the values within this matrix to 0.
    
    Returns:
    
    this
  - identity
```
public Matrix3d identity()
```
    Set this matrix to the identity.
    
    Returns:
    
    this
  - scaling
```
public Matrix3d 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 Matrix3d 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 Matrix3d 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)
  - scale
```
public Matrix3d scale(Vector3dc xyz,
                      Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    Parameters:
    
    xyz - the factors of the x, y and z component, respectively
    
    dest - will hold the result
    
    Returns:
    
    dest
  - scale
```
public Matrix3d 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 Matrix3d scale(double x,
                      double y,
                      double z,
                      Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    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 Matrix3d 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 Matrix3d scale(double xyz,
                      Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    Parameters:
    
    xyz - the factor for all components
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    Matrix3dc.scale(double, double, double, Matrix3d)
  - scale
```
public Matrix3d 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)
  - scaleLocal
```
public Matrix3d scaleLocal(double x,
                           double y,
                           double z,
                           Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    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 Matrix3d 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
  - rotation
```
public Matrix3d rotation(double angle,
                         Vector3dc axis)
```
    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.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.
    In order to post-multiply a rotation transformation directly to a matrix, use rotate() instead.
    
    Parameters:
    
    angle - the angle in radians
    
    axis - the axis to rotate about (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(double, Vector3dc)
  - rotation
```
public Matrix3d rotation(double angle,
                         Vector3fc axis)
```
    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.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.
    In order to post-multiply a rotation transformation directly to a matrix, use rotate() instead.
    
    Parameters:
    
    angle - the angle in radians
    
    axis - the axis to rotate about (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(double, Vector3fc)
  - rotation
```
public Matrix3d rotation(AxisAngle4f axisAngle)
```
    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:
    
    axisAngle - the AxisAngle4f (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(AxisAngle4f)
  - rotation
```
public Matrix3d rotation(AxisAngle4d axisAngle)
```
    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:
    
    axisAngle - the AxisAngle4d (needs to be normalized)
    
    Returns:
    
    this
    
    See Also:
    
    rotate(AxisAngle4d)
  - rotation
```
public Matrix3d 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.
    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.
    The resulting matrix can be multiplied against another transformation matrix to obtain an additional rotation.
    In order to apply the rotation transformation to an existing transformation, use rotate() instead.
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    angle - the angle in radians
    
    x - the x-component of the rotation axis
    
    y - the y-component of the rotation axis
    
    z - the z-component of the rotation axis
    
    Returns:
    
    this
    
    See Also:
    
    rotate(double, double, double, double)
  - rotationX
```
public Matrix3d 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 Matrix3d 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 Matrix3d 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
  - rotationXYZ
```
public Matrix3d 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 Matrix3d 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 Matrix3d 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
  - rotation
```
public Matrix3d 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 Matrix3d 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)
  - transform
```
public Vector3d transform(Vector3d v)
```
    Description copied from interface: Matrix3dc
    
    Transform the given vector by this matrix.
    
    Specified by:
    
    transform in interface Matrix3dc
    
    Parameters:
    
    v - the vector to transform
    
    Returns:
    
    v
  - transform
```
public Vector3d transform(Vector3dc v,
                          Vector3d dest)
```
    Description copied from interface: Matrix3dc
    
    Transform the given vector by this matrix and store the result in dest.
    
    Specified by:
    
    transform in interface Matrix3dc
    
    Parameters:
    
    v - the vector to transform
    
    dest - will hold the result
    
    Returns:
    
    dest
  - transform
```
public Vector3f transform(Vector3f v)
```
    Description copied from interface: Matrix3dc
    
    Transform the given vector by this matrix.
    
    Specified by:
    
    transform in interface Matrix3dc
    
    Parameters:
    
    v - the vector to transform
    
    Returns:
    
    v
  - transform
```
public Vector3f transform(Vector3fc v,
                          Vector3f dest)
```
    Description copied from interface: Matrix3dc
    
    Transform the given vector by this matrix and store the result in dest.
    
    Specified by:
    
    transform in interface Matrix3dc
    
    Parameters:
    
    v - the vector to transform
    
    dest - will hold the result
    
    Returns:
    
    dest
  - transform
```
public Vector3d transform(double x,
                          double y,
                          double z,
                          Vector3d dest)
```
    Description copied from interface: Matrix3dc
    
    Transform the vector (x, y, z) by this matrix and store the result in dest.
    
    Specified by:
    
    transform in interface Matrix3dc
    
    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 hold the result
    
    Returns:
    
    dest
  - transformTranspose
```
public Vector3d transformTranspose(Vector3d v)
```
    Description copied from interface: Matrix3dc
    
    Transform the given vector by the transpose of this matrix.
    
    Specified by:
    
    transformTranspose in interface Matrix3dc
    
    Parameters:
    
    v - the vector to transform
    
    Returns:
    
    v
  - transformTranspose
```
public Vector3d transformTranspose(Vector3dc v,
                                   Vector3d dest)
```
    Description copied from interface: Matrix3dc
    
    Transform the given vector by the transpose of this matrix and store the result in dest.
    
    Specified by:
    
    transformTranspose in interface Matrix3dc
    
    Parameters:
    
    v - the vector to transform
    
    dest - will hold the result
    
    Returns:
    
    dest
  - transformTranspose
```
public Vector3d transformTranspose(double x,
                                   double y,
                                   double z,
                                   Vector3d dest)
```
    Description copied from interface: Matrix3dc
    
    Transform the vector (x, y, z) by the transpose of this matrix and store the result in dest.
    
    Specified by:
    
    transformTranspose in interface Matrix3dc
    
    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 hold the result
    
    Returns:
    
    dest
  - 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 Matrix3d rotateX(double ang,
                        Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    Parameters:
    
    ang - the angle in radians
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateX
```
public Matrix3d 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 Matrix3d rotateY(double ang,
                        Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    Parameters:
    
    ang - the angle in radians
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateY
```
public Matrix3d 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 Matrix3d rotateZ(double ang,
                        Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    Parameters:
    
    ang - the angle in radians
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateZ
```
public Matrix3d 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
  - rotateXYZ
```
public Matrix3d 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 Matrix3d rotateXYZ(double angleX,
                          double angleY,
                          double angleZ,
                          Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    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 Matrix3d 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 Matrix3d rotateZYX(double angleZ,
                          double angleY,
                          double angleX,
                          Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    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 Matrix3d 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 Matrix3d 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 Matrix3d rotateYXZ(double angleY,
                          double angleX,
                          double angleZ,
                          Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    Parameters:
    
    angleY - the angle to rotate about Y
    
    angleX - the angle to rotate about X
    
    angleZ - the angle to rotate about Z
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotate
```
public Matrix3d 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.
    The axis described by the three components needs to be a unit vector.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v , the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Parameters:
    
    ang - the angle in radians
    
    x - the x component of the axis
    
    y - the y component of the axis
    
    z - the z component of the axis
    
    Returns:
    
    this
  - rotate
```
public Matrix3d rotate(double ang,
                       double x,
                       double y,
                       double z,
                       Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    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.
    The axis described by the three components needs to be a unit vector.
    When used with a right-handed coordinate system, the produced rotation will rotate a vector counter-clockwise around the rotation axis, when viewing along the negative axis direction towards the origin. When used with a left-handed coordinate system, the rotation is clockwise.
    If M is this matrix and R the rotation matrix, then the new matrix will be M * R. So when transforming a vector v with the new matrix by using M * R * v , the rotation will be applied first!
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotate in interface Matrix3dc
    
    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
  - rotateLocal
```
public Matrix3d rotateLocal(double ang,
                            double x,
                            double y,
                            double z,
                            Matrix3d 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 Matrix3dc
    
    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 Matrix3d 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)
  - rotateLocalX
```
public Matrix3d rotateLocalX(double ang,
                             Matrix3d 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 Matrix3dc
    
    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 Matrix3d 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 Matrix3d rotateLocalY(double ang,
                             Matrix3d 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 Matrix3dc
    
    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 Matrix3d 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 Matrix3d rotateLocalZ(double ang,
                             Matrix3d 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 Matrix3dc
    
    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 Matrix3d 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)
  - rotateLocal
```
public Matrix3d rotateLocal(Quaterniondc quat,
                            Matrix3d 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 Matrix3dc
    
    Parameters:
    
    quat - the Quaterniondc
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(Quaterniondc)
  - rotateLocal
```
public Matrix3d 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)
  - rotateLocal
```
public Matrix3d rotateLocal(Quaternionfc quat,
                            Matrix3d 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 Matrix3dc
    
    Parameters:
    
    quat - the Quaternionfc
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(Quaternionfc)
  - rotateLocal
```
public Matrix3d 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 Matrix3d 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 Matrix3d rotate(Quaterniondc quat,
                       Matrix3d 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 Matrix3dc
    
    Parameters:
    
    quat - the Quaterniondc
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(Quaterniondc)
  - rotate
```
public Matrix3d 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)
  - rotate
```
public Matrix3d rotate(Quaternionfc quat,
                       Matrix3d 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 Matrix3dc
    
    Parameters:
    
    quat - the Quaternionfc
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotation(Quaternionfc)
  - rotate
```
public Matrix3d rotate(AxisAngle4f axisAngle)
```
    Apply a rotation transformation, rotating about the given AxisAngle4f, 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 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 Matrix3d rotate(AxisAngle4f axisAngle,
                       Matrix3d dest)
```
    Apply a rotation transformation, rotating about the given AxisAngle4f 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 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 Matrix3dc
    
    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 Matrix3d 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 Matrix3d rotate(AxisAngle4d axisAngle,
                       Matrix3d 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 Matrix3dc
    
    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 Matrix3d rotate(double angle,
                       Vector3dc axis)
```
    Apply a rotation transformation, rotating the given radians about the specified axis, 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 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 Matrix3d rotate(double angle,
                       Vector3dc axis,
                       Matrix3d dest)
```
    Apply a rotation transformation, rotating the given radians about the specified axis 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 axis and angle, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(double, Vector3dc).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotate in interface Matrix3dc
    
    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 Matrix3d rotate(double angle,
                       Vector3fc axis)
```
    Apply a rotation transformation, rotating the given radians about the specified axis, 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 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 Matrix3d rotate(double angle,
                       Vector3fc axis,
                       Matrix3d dest)
```
    Apply a rotation transformation, rotating the given radians about the specified axis 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 axis and angle, then the new matrix will be M * A. So when transforming a vector v with the new matrix by using M * A * v, the axis-angle rotation will be applied first!
    In order to set the matrix to a rotation transformation without post-multiplying, use rotation(double, Vector3fc).
    Reference: http://en.wikipedia.org
    
    Specified by:
    
    rotate in interface Matrix3dc
    
    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 Vector3d getRow(int row,
                       Vector3d dest)
                throws IndexOutOfBoundsException
```
    Description copied from interface: Matrix3dc
    
    Get the row at the given row index, starting with 0.
    
    Specified by:
    
    getRow in interface Matrix3dc
    
    Parameters:
    
    row - the row index in [0..2]
    
    dest - will hold the row components
    
    Returns:
    
    the passed in destination
    
    Throws:
    
    IndexOutOfBoundsException - if row is not in [0..2]
  - setRow
```
public Matrix3d setRow(int row,
                       Vector3dc src)
                throws IndexOutOfBoundsException
```
    Set the row at the given row index, starting with 0.
    
    Parameters:
    
    row - the row index in [0..2]
    
    src - the row components to set
    
    Returns:
    
    this
    
    Throws:
    
    IndexOutOfBoundsException - if row is not in [0..2]
  - setRow
```
public Matrix3d setRow(int row,
                       double x,
                       double y,
                       double z)
                throws IndexOutOfBoundsException
```
    Set the row at the given row index, starting with 0.
    
    Parameters:
    
    row - the column index in [0..2]
    
    x - the first element in the row
    
    y - the second element in the row
    
    z - the third element in the row
    
    Returns:
    
    this
    
    Throws:
    
    IndexOutOfBoundsException - if row is not in [0..2]
  - getColumn
```
public Vector3d getColumn(int column,
                          Vector3d dest)
                   throws IndexOutOfBoundsException
```
    Description copied from interface: Matrix3dc
    
    Get the column at the given column index, starting with 0.
    
    Specified by:
    
    getColumn in interface Matrix3dc
    
    Parameters:
    
    column - the column index in [0..2]
    
    dest - will hold the column components
    
    Returns:
    
    the passed in destination
    
    Throws:
    
    IndexOutOfBoundsException - if column is not in [0..2]
  - setColumn
```
public Matrix3d setColumn(int column,
                          Vector3dc src)
                   throws IndexOutOfBoundsException
```
    Set the column at the given column index, starting with 0.
    
    Parameters:
    
    column - the column index in [0..2]
    
    src - the column components to set
    
    Returns:
    
    this
    
    Throws:
    
    IndexOutOfBoundsException - if column is not in [0..2]
  - setColumn
```
public Matrix3d setColumn(int column,
                          double x,
                          double y,
                          double z)
                   throws IndexOutOfBoundsException
```
    Set the column at the given column index, starting with 0.
    
    Parameters:
    
    column - the column index in [0..2]
    
    x - the first element in the column
    
    y - the second element in the column
    
    z - the third element in the column
    
    Returns:
    
    this
    
    Throws:
    
    IndexOutOfBoundsException - if column is not in [0..2]
  - get
```
public double get(int column,
                  int row)
```
    Description copied from interface: Matrix3dc
    
    Get the matrix element value at the given column and row.
    
    Specified by:
    
    get in interface Matrix3dc
    
    Parameters:
    
    column - the colum index in [0..2]
    
    row - the row index in [0..2]
    
    Returns:
    
    the element value
  - set
```
public Matrix3d set(int column,
                    int row,
                    double value)
```
    Set the matrix element at the given column and row to the specified value.
    
    Parameters:
    
    column - the colum index in [0..2]
    
    row - the row index in [0..2]
    
    value - the value
    
    Returns:
    
    this
  - normal
```
public Matrix3d normal()
```
    Set this matrix to its own normal matrix.
    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 this case, use set(Matrix3dc) to set a given Matrix3f to this matrix.
    
    Returns:
    
    this
    
    See Also:
    
    set(Matrix3dc)
  - normal
```
public Matrix3d normal(Matrix3d dest)
```
    Compute a normal matrix from this matrix and store it into dest.
    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 this case, use set(Matrix3dc) to set a given Matrix3d to this matrix.
    
    Specified by:
    
    normal in interface Matrix3dc
    
    Parameters:
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    set(Matrix3dc)
  - lookAlong
```
public Matrix3d 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!
    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), setLookAlong(Vector3dc, Vector3dc)
  - lookAlong
```
public Matrix3d lookAlong(Vector3dc dir,
                          Vector3dc up,
                          Matrix3d 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!
    In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong().
    
    Specified by:
    
    lookAlong in interface Matrix3dc
    
    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), setLookAlong(Vector3dc, Vector3dc)
  - lookAlong
```
public Matrix3d lookAlong(double dirX,
                          double dirY,
                          double dirZ,
                          double upX,
                          double upY,
                          double upZ,
                          Matrix3d 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!
    In order to set the matrix to a lookalong transformation without post-multiplying it, use setLookAlong()
    
    Specified by:
    
    lookAlong in interface Matrix3dc
    
    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:
    
    setLookAlong(double, double, double, double, double, double)
  - lookAlong
```
public Matrix3d 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!
    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:
    
    setLookAlong(double, double, double, double, double, double)
  - setLookAlong
```
public Matrix3d setLookAlong(Vector3dc dir,
                             Vector3dc up)
```
    Set this matrix to a rotation transformation to make -z point along 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 Matrix3d 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.
    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)
  - getScale
```
public Vector3d getScale(Vector3d dest)
```
    Description copied from interface: Matrix3dc
    
    Get the scaling factors of this matrix for the three base axes.
    
    Specified by:
    
    getScale in interface Matrix3dc
    
    Parameters:
    
    dest - will hold the scaling factors for x, y and z
    
    Returns:
    
    dest
  - positiveZ
```
public Vector3d positiveZ(Vector3d dir)
```
    Description copied from interface: Matrix3dc
    Obtain the direction of +Z before the transformation represented by this matrix is applied.
    This method is equivalent to the following code:
```
 Matrix3d inv = new Matrix3d(this).invert();
 inv.transform(dir.set(0, 0, 1)).normalize();
 
```
    If this is already an orthogonal matrix, then consider using Matrix3dc.normalizedPositiveZ(Vector3d) instead.
    Reference: http://www.euclideanspace.com
    Specified by:
    
    positiveZ in interface Matrix3dc
    
    Parameters:
    
    dir - will hold the direction of +Z
    
    Returns:
    
    dir
  - normalizedPositiveZ
```
public Vector3d normalizedPositiveZ(Vector3d dir)
```
    Description copied from interface: Matrix3dc
    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 is equivalent to the following code:
```
 Matrix3d inv = new Matrix3d(this).transpose();
 inv.transform(dir.set(0, 0, 1));
 
```
    Reference: http://www.euclideanspace.com
    Specified by:
    
    normalizedPositiveZ in interface Matrix3dc
    
    Parameters:
    
    dir - will hold the direction of +Z
    
    Returns:
    
    dir
  - positiveX
```
public Vector3d positiveX(Vector3d dir)
```
    Description copied from interface: Matrix3dc
    Obtain the direction of +X before the transformation represented by this matrix is applied.
    This method is equivalent to the following code:
```
 Matrix3d inv = new Matrix3d(this).invert();
 inv.transform(dir.set(1, 0, 0)).normalize();
 
```
    If this is already an orthogonal matrix, then consider using Matrix3dc.normalizedPositiveX(Vector3d) instead.
    Reference: http://www.euclideanspace.com
    Specified by:
    
    positiveX in interface Matrix3dc
    
    Parameters:
    
    dir - will hold the direction of +X
    
    Returns:
    
    dir
  - normalizedPositiveX
```
public Vector3d normalizedPositiveX(Vector3d dir)
```
    Description copied from interface: Matrix3dc
    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 is equivalent to the following code:
```
 Matrix3d inv = new Matrix3d(this).transpose();
 inv.transform(dir.set(1, 0, 0));
 
```
    Reference: http://www.euclideanspace.com
    Specified by:
    
    normalizedPositiveX in interface Matrix3dc
    
    Parameters:
    
    dir - will hold the direction of +X
    
    Returns:
    
    dir
  - positiveY
```
public Vector3d positiveY(Vector3d dir)
```
    Description copied from interface: Matrix3dc
    Obtain the direction of +Y before the transformation represented by this matrix is applied.
    This method is equivalent to the following code:
```
 Matrix3d inv = new Matrix3d(this).invert();
 inv.transform(dir.set(0, 1, 0)).normalize();
 
```
    If this is already an orthogonal matrix, then consider using Matrix3dc.normalizedPositiveY(Vector3d) instead.
    Reference: http://www.euclideanspace.com
    Specified by:
    
    positiveY in interface Matrix3dc
    
    Parameters:
    
    dir - will hold the direction of +Y
    
    Returns:
    
    dir
  - normalizedPositiveY
```
public Vector3d normalizedPositiveY(Vector3d dir)
```
    Description copied from interface: Matrix3dc
    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 is equivalent to the following code:
```
 Matrix3d inv = new Matrix3d(this).transpose();
 inv.transform(dir.set(0, 1, 0));
 
```
    Reference: http://www.euclideanspace.com
    Specified by:
    
    normalizedPositiveY in interface Matrix3dc
    
    Parameters:
    
    dir - will hold the direction of +Y
    
    Returns:
    
    dir
  - hashCode
```
public int hashCode()
```
    Overrides:
    
    hashCode in class Object
  - equals
```
public boolean equals(Object obj)
```
    Overrides:
    
    equals in class Object
  - equals
```
public boolean equals(Matrix3dc m,
                      double delta)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    Parameters:
    
    m - the other matrix
    
    delta - the allowed maximum difference
    
    Returns:
    
    true whether all of the matrix elements are equal; false otherwise
  - swap
```
public Matrix3d swap(Matrix3d other)
```
    Exchange the values of this matrix with the given other matrix.
    
    Parameters:
    
    other - the other matrix to exchange the values with
    
    Returns:
    
    this
  - add
```
public Matrix3d add(Matrix3dc other)
```
    Component-wise add this and other.
    
    Parameters:
    
    other - the other addend
    
    Returns:
    
    this
  - add
```
public Matrix3d add(Matrix3dc other,
                    Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    Component-wise add this and other and store the result in dest.
    
    Specified by:
    
    add in interface Matrix3dc
    
    Parameters:
    
    other - the other addend
    
    dest - will hold the result
    
    Returns:
    
    dest
  - sub
```
public Matrix3d sub(Matrix3dc subtrahend)
```
    Component-wise subtract subtrahend from this.
    
    Parameters:
    
    subtrahend - the subtrahend
    
    Returns:
    
    this
  - sub
```
public Matrix3d sub(Matrix3dc subtrahend,
                    Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    Component-wise subtract subtrahend from this and store the result in dest.
    
    Specified by:
    
    sub in interface Matrix3dc
    
    Parameters:
    
    subtrahend - the subtrahend
    
    dest - will hold the result
    
    Returns:
    
    dest
  - mulComponentWise
```
public Matrix3d mulComponentWise(Matrix3dc other)
```
    Component-wise multiply this by other.
    
    Parameters:
    
    other - the other matrix
    
    Returns:
    
    this
  - mulComponentWise
```
public Matrix3d mulComponentWise(Matrix3dc other,
                                 Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    Component-wise multiply this by other and store the result in dest.
    
    Specified by:
    
    mulComponentWise in interface Matrix3dc
    
    Parameters:
    
    other - the other matrix
    
    dest - will hold the result
    
    Returns:
    
    dest
  - setSkewSymmetric
```
public Matrix3d setSkewSymmetric(double a,
                                 double b,
                                 double c)
```
    Set this matrix to a skew-symmetric matrix using the following layout:
```
  0,  a, -b
 -a,  0,  c
  b, -c,  0
 
```
    Reference: https://en.wikipedia.org
    Parameters:
    
    a - the value used for the matrix elements m01 and m10
    
    b - the value used for the matrix elements m02 and m20
    
    c - the value used for the matrix elements m12 and m21
    
    Returns:
    
    this
  - lerp
```
public Matrix3d lerp(Matrix3dc 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 Matrix3d lerp(Matrix3dc other,
                     double t,
                     Matrix3d dest)
```
    Description copied from interface: Matrix3dc
    
    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 Matrix3dc
    
    Parameters:
    
    other - the other matrix
    
    t - the interpolation factor between 0.0 and 1.0
    
    dest - will hold the result
    
    Returns:
    
    dest
  - rotateTowards
```
public Matrix3d rotateTowards(Vector3dc direction,
                              Vector3dc up,
                              Matrix3d 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: mul(new Matrix3d().lookAlong(new Vector3d(dir).negate(), up).invert(), dest)
    
    Specified by:
    
    rotateTowards in interface Matrix3dc
    
    Parameters:
    
    direction - the direction to rotate towards
    
    up - the model's up vector
    
    dest - will hold the result
    
    Returns:
    
    dest
    
    See Also:
    
    rotateTowards(double, double, double, double, double, double, Matrix3d), rotationTowards(Vector3dc, Vector3dc)
  - rotateTowards
```
public Matrix3d 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: mul(new Matrix3d().lookAlong(new Vector3d(dir).negate(), up).invert())
    
    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 Matrix3d 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 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: mul(new Matrix3d().lookAlong(-dirX, -dirY, -dirZ, upX, upY, upZ).invert())
    
    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 Matrix3d rotateTowards(double dirX,
                              double dirY,
                              double dirZ,
                              double upX,
                              double upY,
                              double upZ,
                              Matrix3d 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: mul(new Matrix3d().lookAlong(-dirX, -dirY, -dirZ, upX, upY, upZ).invert(), dest)
    
    Specified by:
    
    rotateTowards in interface Matrix3dc
    
    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 Matrix3d 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 center - eye.
    In order to apply the rotation transformation to a previous existing transformation, use rotateTowards.
    This method is equivalent to calling: setLookAlong(new Vector3d(dir).negate(), up).invert()
    
    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 Matrix3d 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 center - eye.
    In order to apply the rotation transformation to a previous existing transformation, use rotateTowards.
    This method is equivalent to calling: setLookAlong(-dirX, -dirY, -dirZ, upX, upY, upZ).invert()
    
    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)
  - getEulerAnglesZYX
```
public Vector3d getEulerAnglesZYX(Vector3d dest)
```
    Extract the Euler angles from the rotation represented by this matrix and store the extracted Euler angles in dest.
    This method assumes that this matrix 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).
```
 Matrix3d m = ...; // <- matrix only representing rotation
 Matrix3d n = new Matrix3d();
 n.rotateZYX(m.getEulerAnglesZYX(new Vector3d()));
 
```
    Reference: http://nghiaho.com/
    Specified by:
    
    getEulerAnglesZYX in interface Matrix3dc
    
    Parameters:
    
    dest - will hold the extracted Euler angles
    
    Returns:
    
    dest
  - obliqueZ
```
public Matrix3d 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 1 b
 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 Matrix3d obliqueZ(double a,
                         double b,
                         Matrix3d 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 1 b
 0 0 1
 
```
    Specified by:
    
    obliqueZ in interface Matrix3dc
    
    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

Class Matrix3d

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

m00

m01

m02

m10

m11

m12

m20

m21

m22

Constructor Detail

Matrix3d

Matrix3d

Matrix3d

Matrix3d

Matrix3d

Matrix3d

Matrix3d

Matrix3d

Matrix3d

Matrix3d

Method Detail

m00

m01

m02

m10

m11

m12

m20

m21

m22

m00

m01

m02

m10

m11

m12

m20

m21

m22

_m00

_m01

_m02

_m10

_m11

_m12

_m20

_m21

_m22

set

set

set

set

set

set

set

set

set

set

set

mul

mul

mulLocal

mulLocal

mul

mul

set

set

set

determinant

invert

invert

transpose

transpose

toString