/src/quantlib/ql/math/integrals/tanhsinhintegral.hpp
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1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2021 Klaus Spanderen |
5 | | |
6 | | This file is part of QuantLib, a free-software/open-source library |
7 | | for financial quantitative analysts and developers - http://quantlib.org/ |
8 | | |
9 | | QuantLib is free software: you can redistribute it and/or modify it |
10 | | under the terms of the QuantLib license. You should have received a |
11 | | copy of the license along with this program; if not, please email |
12 | | <quantlib-dev@lists.sf.net>. The license is also available online at |
13 | | <https://www.quantlib.org/license.shtml>. |
14 | | |
15 | | This program is distributed in the hope that it will be useful, but WITHOUT |
16 | | ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS |
17 | | FOR A PARTICULAR PURPOSE. See the license for more details. |
18 | | */ |
19 | | |
20 | | /*! \file tanhsinhintegral.hpp |
21 | | */ |
22 | | |
23 | | #ifndef quantlib_tanh_sinh_integral_hpp |
24 | | #define quantlib_tanh_sinh_integral_hpp |
25 | | |
26 | | #include <ql/types.hpp> |
27 | | #include <ql/utilities/null.hpp> |
28 | | #include <ql/math/integrals/integral.hpp> |
29 | | |
30 | | #if BOOST_VERSION >= 106900 |
31 | | #define QL_BOOST_HAS_TANH_SINH |
32 | | |
33 | | #include <boost/math/quadrature/tanh_sinh.hpp> |
34 | | #include <limits> |
35 | | |
36 | | namespace QuantLib { |
37 | | /*! The tanh-sinh quadrature routine provided by boost is a rapidly convergent |
38 | | numerical integration scheme for holomorphic integrands. The tolerance |
39 | | is used against the error estimate for the L1 norm of the integral. |
40 | | */ |
41 | | class TanhSinhIntegral : public Integrator { |
42 | | public: |
43 | | TanhSinhIntegral( |
44 | | Real relTolerance = std::sqrt(std::numeric_limits<Real>::epsilon()), |
45 | | Size maxRefinements = 15, |
46 | | Real minComplement = std::numeric_limits<Real>::min() * 4 |
47 | | ) |
48 | 0 | : Integrator(QL_MAX_REAL, Null<Size>()), |
49 | 0 | relTolerance_(relTolerance), |
50 | 0 | tanh_sinh_(maxRefinements, minComplement) {} |
51 | | |
52 | | protected: |
53 | | Real integrate(const std::function<Real(Real)>& f, Real a, Real b) |
54 | 0 | const override { |
55 | 0 | Real error; |
56 | 0 | Real value = tanh_sinh_.integrate( |
57 | 0 | [this, f](Real x)-> Real { |
58 | 0 | increaseNumberOfEvaluations(1); |
59 | 0 | return f(x); |
60 | 0 | }, |
61 | 0 | a, b, relTolerance_, &error); |
62 | 0 | setAbsoluteError(error); |
63 | |
|
64 | 0 | return value; |
65 | 0 | } |
66 | | |
67 | | private: |
68 | | const Real relTolerance_; |
69 | | mutable boost::math::quadrature::tanh_sinh<Real> tanh_sinh_; |
70 | | }; |
71 | | } |
72 | | |
73 | | #else |
74 | | |
75 | | namespace QuantLib { |
76 | | |
77 | | class TanhSinhIntegral : public Integrator { |
78 | | public: |
79 | | TanhSinhIntegral(Real relTolerance = 0, Size maxRefinements = 0, Real minComplement = 0) |
80 | | : Integrator(Null<Real>(), Null<Size>()) { |
81 | | QL_FAIL("boost version 1.69 or higher is required in order to use TanhSinhIntegral"); |
82 | | } |
83 | | |
84 | | protected: |
85 | | Real integrate(const std::function<Real(Real)>& f, Real a, Real b) const override { |
86 | | QL_FAIL("boost version 1.69 or higher is required in order to use TanhSinhIntegral"); |
87 | | } |
88 | | }; |
89 | | |
90 | | } |
91 | | |
92 | | #endif |
93 | | |
94 | | #endif |