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## org.apache.commons.math.geometry
Class RotationOrder

    java.lang.Object
      org.apache.commons.math.geometry.RotationOrder

    public final class RotationOrder

extends java.lang.Object

This class is a utility representing a rotation order specification for Cardan or Euler angles specification. This class cannot be instanciated by the user. He can only use one of the twelve predefined supported orders as an argument to either the `Rotation.Rotation(RotationOrder,double,double,double)` constructor or the `Rotation.getAngles(org.apache.commons.math.geometry.RotationOrder)` method.

Since:
  1.2
Version:
  $Revision: 811827 $ $Date: 2009-09-06 11:32:50 -0400 (Sun, 06 Sep 2009) $

Field Summary
`private Vector3D` | `a1` Axis of the first rotation.
`private Vector3D` | `a2` Axis of the second rotation.
`private Vector3D` | `a3` Axis of the third rotation.
`private java.lang.String` | `name` Name of the rotations order.
`static RotationOrder` | `XYX` Set of Euler angles.
`static RotationOrder` | `XYZ` Set of Cardan angles.
`static RotationOrder` | `XZX` Set of Euler angles.
`static RotationOrder` | `XZY` Set of Cardan angles.
`static RotationOrder` | `YXY` Set of Euler angles.
`static RotationOrder` | `YXZ` Set of Cardan angles.
`static RotationOrder` | `YZX` Set of Cardan angles.
`static RotationOrder` | `YZY` Set of Euler angles.
`static RotationOrder` | `ZXY` Set of Cardan angles.
`static RotationOrder` | `ZXZ` Set of Euler angles.
`static RotationOrder` | `ZYX` Set of Cardan angles.
`static RotationOrder` | `ZYZ` Set of Euler angles.

Constructor Summary
`private` | `RotationOrder(java.lang.String name, Vector3D a1, Vector3D a2, Vector3D a3)` Private constructor.

Method Summary
`Vector3D` | `getA1()` Get the axis of the first rotation.
`Vector3D` | `getA2()` Get the axis of the second rotation.
`Vector3D` | `getA3()` Get the axis of the second rotation.
`java.lang.String` | `toString()` Get a string representation of the instance.

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

Field Detail

### XYZ

    public static final RotationOrder XYZ

  Set of Cardan angles. this ordered set of rotations is around X, then around Y, then around Z

### XZY

    public static final RotationOrder XZY

  Set of Cardan angles. this ordered set of rotations is around X, then around Z, then around Y

### YXZ

    public static final RotationOrder YXZ

  Set of Cardan angles. this ordered set of rotations is around Y, then around X, then around Z

### YZX

    public static final RotationOrder YZX

  Set of Cardan angles. this ordered set of rotations is around Y, then around Z, then around X

### ZXY

    public static final RotationOrder ZXY

  Set of Cardan angles. this ordered set of rotations is around Z, then around X, then around Y

### ZYX

    public static final RotationOrder ZYX

  Set of Cardan angles. this ordered set of rotations is around Z, then around Y, then around X

### XYX

    public static final RotationOrder XYX

  Set of Euler angles. this ordered set of rotations is around X, then around Y, then around X

### XZX

    public static final RotationOrder XZX

  Set of Euler angles. this ordered set of rotations is around X, then around Z, then around X

### YXY

    public static final RotationOrder YXY

  Set of Euler angles. this ordered set of rotations is around Y, then around X, then around Y

### YZY

    public static final RotationOrder YZY

  Set of Euler angles. this ordered set of rotations is around Y, then around Z, then around Y

### ZXZ

    public static final RotationOrder ZXZ

  Set of Euler angles. this ordered set of rotations is around Z, then around X, then around Z

### ZYZ

    public static final RotationOrder ZYZ

  Set of Euler angles. this ordered set of rotations is around Z, then around Y, then around Z

### name

    private final java.lang.String name

  Name of the rotations order.

### a1

    private final Vector3D a1

  Axis of the first rotation.

### a2

    private final Vector3D a2

  Axis of the second rotation.

### a3

    private final Vector3D a3

  Axis of the third rotation.

Constructor Detail

### RotationOrder

    private RotationOrder(java.lang.String name,
                          Vector3D a1,
                          Vector3D a2,
                          Vector3D a3)

  Private constructor. This is a utility class that cannot be instantiated by the user, so its only constructor is private.

  Parameters:
    `name` - name of the rotation order
    `a1` - axis of the first rotation
    `a2` - axis of the second rotation
    `a3` - axis of the third rotation

Method Detail

### toString

    public java.lang.String toString()

  Get a string representation of the instance.

  Overrides:
    `toString` in class `java.lang.Object`
  Returns:
    a string representation of the instance (in fact, its name)

### getA1

    public Vector3D getA1()

  Get the axis of the first rotation.

  Returns:
    axis of the first rotation

### getA2

    public Vector3D getA2()

  Get the axis of the second rotation.

  Returns:
    axis of the second rotation

### getA3

    public Vector3D getA3()

  Get the axis of the second rotation.

  Returns:
    axis of the second rotation

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