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+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.apache.commons.math3.geometry.euclidean.threed;
+
+/**
+ * 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 {@link Rotation#Rotation(RotationOrder,double,double,double)}
+ * constructor or the {@link Rotation#getAngles} method.
+ *
+ * @since 1.2
+ */
+public final class RotationOrder {
+
+ /** Set of Cardan angles.
+ * this ordered set of rotations is around X, then around Y, then
+ * around Z
+ */
+ public static final RotationOrder XYZ =
+ new RotationOrder("XYZ", Vector3D.PLUS_I, Vector3D.PLUS_J, Vector3D.PLUS_K);
+
+ /** Set of Cardan angles.
+ * this ordered set of rotations is around X, then around Z, then
+ * around Y
+ */
+ public static final RotationOrder XZY =
+ new RotationOrder("XZY", Vector3D.PLUS_I, Vector3D.PLUS_K, Vector3D.PLUS_J);
+
+ /** Set of Cardan angles.
+ * this ordered set of rotations is around Y, then around X, then
+ * around Z
+ */
+ public static final RotationOrder YXZ =
+ new RotationOrder("YXZ", Vector3D.PLUS_J, Vector3D.PLUS_I, Vector3D.PLUS_K);
+
+ /** Set of Cardan angles.
+ * this ordered set of rotations is around Y, then around Z, then
+ * around X
+ */
+ public static final RotationOrder YZX =
+ new RotationOrder("YZX", Vector3D.PLUS_J, Vector3D.PLUS_K, Vector3D.PLUS_I);
+
+ /** Set of Cardan angles.
+ * this ordered set of rotations is around Z, then around X, then
+ * around Y
+ */
+ public static final RotationOrder ZXY =
+ new RotationOrder("ZXY", Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J);
+
+ /** Set of Cardan angles.
+ * this ordered set of rotations is around Z, then around Y, then
+ * around X
+ */
+ public static final RotationOrder ZYX =
+ new RotationOrder("ZYX", Vector3D.PLUS_K, Vector3D.PLUS_J, Vector3D.PLUS_I);
+
+ /** Set of Euler angles.
+ * this ordered set of rotations is around X, then around Y, then
+ * around X
+ */
+ public static final RotationOrder XYX =
+ new RotationOrder("XYX", Vector3D.PLUS_I, Vector3D.PLUS_J, Vector3D.PLUS_I);
+
+ /** Set of Euler angles.
+ * this ordered set of rotations is around X, then around Z, then
+ * around X
+ */
+ public static final RotationOrder XZX =
+ new RotationOrder("XZX", Vector3D.PLUS_I, Vector3D.PLUS_K, Vector3D.PLUS_I);
+
+ /** Set of Euler angles.
+ * this ordered set of rotations is around Y, then around X, then
+ * around Y
+ */
+ public static final RotationOrder YXY =
+ new RotationOrder("YXY", Vector3D.PLUS_J, Vector3D.PLUS_I, Vector3D.PLUS_J);
+
+ /** Set of Euler angles.
+ * this ordered set of rotations is around Y, then around Z, then
+ * around Y
+ */
+ public static final RotationOrder YZY =
+ new RotationOrder("YZY", Vector3D.PLUS_J, Vector3D.PLUS_K, Vector3D.PLUS_J);
+
+ /** Set of Euler angles.
+ * this ordered set of rotations is around Z, then around X, then
+ * around Z
+ */
+ public static final RotationOrder ZXZ =
+ new RotationOrder("ZXZ", Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_K);
+
+ /** Set of Euler angles.
+ * this ordered set of rotations is around Z, then around Y, then
+ * around Z
+ */
+ public static final RotationOrder ZYZ =
+ new RotationOrder("ZYZ", Vector3D.PLUS_K, Vector3D.PLUS_J, Vector3D.PLUS_K);
+
+ /** Name of the rotations order. */
+ private final String name;
+
+ /** Axis of the first rotation. */
+ private final Vector3D a1;
+
+ /** Axis of the second rotation. */
+ private final Vector3D a2;
+
+ /** Axis of the third rotation. */
+ private final Vector3D a3;
+
+ /** Private constructor.
+ * This is a utility class that cannot be instantiated by the user,
+ * so its only constructor is private.
+ * @param name name of the rotation order
+ * @param a1 axis of the first rotation
+ * @param a2 axis of the second rotation
+ * @param a3 axis of the third rotation
+ */
+ private RotationOrder(final String name,
+ final Vector3D a1, final Vector3D a2, final Vector3D a3) {
+ this.name = name;
+ this.a1 = a1;
+ this.a2 = a2;
+ this.a3 = a3;
+ }
+
+ /** Get a string representation of the instance.
+ * @return a string representation of the instance (in fact, its name)
+ */
+ @Override
+ public String toString() {
+ return name;
+ }
+
+ /** Get the axis of the first rotation.
+ * @return axis of the first rotation
+ */
+ public Vector3D getA1() {
+ return a1;
+ }
+
+ /** Get the axis of the second rotation.
+ * @return axis of the second rotation
+ */
+ public Vector3D getA2() {
+ return a2;
+ }
+
+ /** Get the axis of the second rotation.
+ * @return axis of the second rotation
+ */
+ public Vector3D getA3() {
+ return a3;
+ }
+
+}