1 /*
2 * Copyright (C) 2023 Alberto Irurueta Carro (alberto@irurueta.com)
3 *
4 * Licensed under the Apache License, Version 2.0 (the "License");
5 * you may not use this file except in compliance with the License.
6 * You may obtain a copy of the License at
7 *
8 * http://www.apache.org/licenses/LICENSE-2.0
9 *
10 * Unless required by applicable law or agreed to in writing, software
11 * distributed under the License is distributed on an "AS IS" BASIS,
12 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
13 * See the License for the specific language governing permissions and
14 * limitations under the License.
15 */
16 package com.irurueta.numerical.integration;
17
18
19 import com.irurueta.numerical.SingleDimensionFunctionEvaluatorListener;
20
21 /**
22 * Computes function integration by using Simpson's rule and mid-point quadrature.
23 * Simpson's method is an optimization of Trapezoidal quadrature integrator.
24 * This type of integrator will in general be more efficient than Trapezoidal quadrature
25 * integrators (i.e., require fewer function evaluations) when the function
26 * to be integrated has a finite fourth derivative (i.e., a continuous third derivative).
27 */
28 public class SimpsonMidPointQuadratureIntegrator extends SimpsonIntegrator<MidPointQuadrature> {
29
30 /**
31 * Constructor.
32 *
33 * @param a Lower limit of integration.
34 * @param b Upper limit of integration.
35 * @param listener listener to evaluate a single dimension function at required points.
36 * @param eps required accuracy.
37 */
38 public SimpsonMidPointQuadratureIntegrator(
39 final double a, final double b, final SingleDimensionFunctionEvaluatorListener listener, final double eps) {
40 super(new MidPointQuadrature(a, b, listener), eps);
41 }
42
43 /**
44 * Constructor.
45 *
46 * @param a Lower limit of integration.
47 * @param b Upper limit of integration.
48 * @param listener listener to evaluate a single dimension function at required points.
49 */
50 public SimpsonMidPointQuadratureIntegrator(
51 final double a, final double b, final SingleDimensionFunctionEvaluatorListener listener) {
52 this(a, b, listener, EPS);
53 }
54
55 /**
56 * Gets type of quadrature.
57 *
58 * @return type of quadrature.
59 */
60 @Override
61 public QuadratureType getQuadratureType() {
62 return QuadratureType.MID_POINT;
63 }
64 }