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 * Indicates type of quadrature.
20 */
21 public enum QuadratureType {
22 /**
23 * Trapezoidal quadrature. It's the simplest for general purpose integration.
24 */
25 TRAPEZOIDAL,
26
27 /**
28 * Mid-point quadrature. Allows singularities at integration bounds.
29 */
30 MID_POINT,
31
32 /**
33 * Infinity mid-point. Allows upper bound to be infinity, or lower bound negative and infinity.
34 */
35 INFINITY_MID_POINT,
36
37 /**
38 * Lower square root mid-point. Allows a singularity of the integrand at the lower integration
39 * bound.
40 */
41 LOWER_SQUARE_ROOT_MID_POINT,
42
43 /**
44 * Upper square root mid-point. Allows a singularity of the integrand at the upper integration
45 * bound.
46 */
47 UPPER_SQUARE_ROOT_MID_POINT,
48
49 /**
50 * Exponential mid-point quadrature. Allows integration from a lower bound up to infinity when
51 * the integrand falls off exponentially.
52 */
53 EXPONENTIAL_MID_POINT,
54
55 /**
56 * Double exponential rule. Allows integration when there are singularities at integration
57 * bounds with fast convergence.
58 */
59 DOUBLE_EXPONENTIAL_RULE
60 }