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1   /*
2    * Licensed to the Apache Software Foundation (ASF) under one or more
3    * contributor license agreements.  See the NOTICE file distributed with
4    * this work for additional information regarding copyright ownership.
5    * The ASF licenses this file to You under the Apache License, Version 2.0
6    * (the "License"); you may not use this file except in compliance with
7    * the License.  You may obtain a copy of the License at
8    *
9    *      http://www.apache.org/licenses/LICENSE-2.0
10   *
11   * Unless required by applicable law or agreed to in writing, software
12   * distributed under the License is distributed on an "AS IS" BASIS,
13   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14   * See the License for the specific language governing permissions and
15   * limitations under the License.
16   */
17  package org.apache.commons.math4.legacy.analysis.differentiation;
18  
19  import org.apache.commons.math4.legacy.analysis.MultivariateVectorFunction;
20  
21  /** Class representing the gradient of a multivariate function.
22   * <p>
23   * The vectorial components of the function represent the derivatives
24   * with respect to each function parameters.
25   * </p>
26   * @since 3.1
27   */
28  public class GradientFunction implements MultivariateVectorFunction {
29  
30      /** Underlying real-valued function. */
31      private final MultivariateDifferentiableFunction f;
32  
33      /** Simple constructor.
34       * @param f underlying real-valued function
35       */
36      public GradientFunction(final MultivariateDifferentiableFunction f) {
37          this.f = f;
38      }
39  
40      /** {@inheritDoc} */
41      @Override
42      public double[] value(double[] point) {
43  
44          // set up parameters
45          final DerivativeStructure[] dsX = new DerivativeStructure[point.length];
46          for (int i = 0; i < point.length; ++i) {
47              dsX[i] = new DerivativeStructure(point.length, 1, i, point[i]);
48          }
49  
50          // compute the derivatives
51          final DerivativeStructure dsY = f.value(dsX);
52  
53          // extract the gradient
54          final double[] y = new double[point.length];
55          final int[] orders = new int[point.length];
56          for (int i = 0; i < point.length; ++i) {
57              orders[i] = 1;
58              y[i] = dsY.getPartialDerivative(orders);
59              orders[i] = 0;
60          }
61  
62          return y;
63      }
64  }