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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.partitioning;
+
+import org.apache.commons.math3.geometry.Point;
+import org.apache.commons.math3.geometry.Space;
+
+
+/** This interface represents an inversible affine transform in a space.
+ * <p>Inversible affine transform include for example scalings,
+ * translations, rotations.</p>
+
+ * <p>Transforms are dimension-specific. The consistency rules between
+ * the three {@code apply} methods are the following ones for a
+ * transformed defined for dimension D:</p>
+ * <ul>
+ *   <li>
+ *     the transform can be applied to a point in the
+ *     D-dimension space using its {@link #apply(Point)}
+ *     method
+ *   </li>
+ *   <li>
+ *     the transform can be applied to a (D-1)-dimension
+ *     hyperplane in the D-dimension space using its
+ *     {@link #apply(Hyperplane)} method
+ *   </li>
+ *   <li>
+ *     the transform can be applied to a (D-2)-dimension
+ *     sub-hyperplane in a (D-1)-dimension hyperplane using
+ *     its {@link #apply(SubHyperplane, Hyperplane, Hyperplane)}
+ *     method
+ *   </li>
+ * </ul>
+
+ * @param <S> Type of the embedding space.
+ * @param <T> Type of the embedded sub-space.
+
+ * @since 3.0
+ */
+public interface Transform<S extends Space, T extends Space> {
+
+    /** Transform a point of a space.
+     * @param point point to transform
+     * @return a new object representing the transformed point
+     */
+    Point<S> apply(Point<S> point);
+
+    /** Transform an hyperplane of a space.
+     * @param hyperplane hyperplane to transform
+     * @return a new object representing the transformed hyperplane
+     */
+    Hyperplane<S> apply(Hyperplane<S> hyperplane);
+
+    /** Transform a sub-hyperplane embedded in an hyperplane.
+     * @param sub sub-hyperplane to transform
+     * @param original hyperplane in which the sub-hyperplane is
+     * defined (this is the original hyperplane, the transform has
+     * <em>not</em> been applied to it)
+     * @param transformed hyperplane in which the sub-hyperplane is
+     * defined (this is the transformed hyperplane, the transform
+     * <em>has</em> been applied to it)
+     * @return a new object representing the transformed sub-hyperplane
+     */
+    SubHyperplane<T> apply(SubHyperplane<T> sub, Hyperplane<S> original, Hyperplane<S> transformed);
+
+}