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1 | // | ||
2 | // SPDX-FileCopyrightInfo: Copyright © DuMux Project contributors, see AUTHORS.md in root folder | ||
3 | // SPDX-License-Identifier: GPL-3.0-or-later | ||
4 | // | ||
5 | /*! | ||
6 | * \file | ||
7 | * \ingroup Common | ||
8 | * \brief Create a transformation function (translation + rotation) | ||
9 | */ | ||
10 | #ifndef DUMUX_TEST_GEOMETRY_TRANSFORMATION_HH | ||
11 | #define DUMUX_TEST_GEOMETRY_TRANSFORMATION_HH | ||
12 | |||
13 | #include <iostream> | ||
14 | |||
15 | #include <dune/common/classname.hh> | ||
16 | #include <dune/common/fvector.hh> | ||
17 | |||
18 | #include <dumux/common/math.hh> | ||
19 | |||
20 | namespace Dumux { | ||
21 | |||
22 | /*! | ||
23 | * \ingroup Common | ||
24 | * \brief Create a transformation function (translation) in 1D | ||
25 | */ | ||
26 | template<class ctype> | ||
27 | auto make1DTransformation(const ctype scale, | ||
28 | const Dune::FieldVector<ctype, 1>& translate, | ||
29 | bool verbose = true) | ||
30 | { | ||
31 | if (verbose) | ||
32 | std::cout << "Created 1D transformation with" | ||
33 | << " ctype: " << Dune::className<ctype>() | ||
34 | << ", scaling: " << scale | ||
35 | << ", translation: " << translate << std::endl; | ||
36 | |||
37 | return [=](Dune::FieldVector<ctype, 1> p){ | ||
38 | p *= scale; | ||
39 | p.axpy(scale, translate); | ||
40 | return p; | ||
41 | }; | ||
42 | } | ||
43 | |||
44 | /*! | ||
45 | * \ingroup Common | ||
46 | * \brief Create a transformation function (translation + rotation) in 2D | ||
47 | * \note https://en.wikipedia.org/wiki/Rotation_matrix | ||
48 | */ | ||
49 | template<class ctype> | ||
50 | 40 | auto make2DTransformation(const ctype scale, | |
51 | const Dune::FieldVector<ctype, 2>& translate, | ||
52 | const ctype rotationAngle, | ||
53 | bool verbose = true) | ||
54 | { | ||
55 |
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40 | if (verbose) |
56 | std::cout << "Created 2D transformation with" | ||
57 | << " ctype: " << Dune::className<ctype>() | ||
58 |
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200 | << ", scaling: " << scale |
59 |
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80 | << ", translation: " << translate |
60 |
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80 | << ", rotationAngle: " << rotationAngle << std::endl; |
61 | |||
62 | using std::sin; using std::cos; | ||
63 | 40 | const ctype sinAngle = sin(rotationAngle); | |
64 | 40 | const ctype cosAngle = cos(rotationAngle); | |
65 | 920 | return [=](Dune::FieldVector<ctype, 2> p){ | |
66 | 920 | auto tp = p; | |
67 | 2760 | tp[0] = p[0]*cosAngle-p[1]*sinAngle; | |
68 | 2760 | tp[1] = p[0]*sinAngle+p[1]*cosAngle; | |
69 | 920 | tp *= scale; | |
70 | 920 | return tp.axpy(scale, translate); | |
71 | 40 | }; | |
72 | } | ||
73 | |||
74 | /*! | ||
75 | * \ingroup Common | ||
76 | * \brief Create a transformation function (translation + rotation) in 3D | ||
77 | * \note https://en.wikipedia.org/wiki/Rodrigues%27_rotation_formula | ||
78 | */ | ||
79 | template<class ctype> | ||
80 | 845 | auto make3DTransformation(const ctype scale, | |
81 | const Dune::FieldVector<ctype, 3>& translate, | ||
82 | const Dune::FieldVector<ctype, 3>& rotationAxis, | ||
83 | const ctype rotationAngle, | ||
84 | bool verbose = true) | ||
85 | { | ||
86 |
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845 | if (verbose) |
87 | std::cout << "Created 3D transformation with" | ||
88 | << " ctype: " << Dune::className<ctype>() | ||
89 |
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1800 | << ", scaling: " << scale |
90 |
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720 | << ", translation: " << translate |
91 |
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720 | << ", rotationAxis: " << rotationAxis |
92 |
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720 | << ", rotationAngle: " << rotationAngle << std::endl; |
93 | |||
94 | using std::sin; using std::cos; | ||
95 | 845 | const ctype sinAngle = sin(rotationAngle); | |
96 | 845 | const ctype cosAngle = cos(rotationAngle); | |
97 | 13073 | return [=](Dune::FieldVector<ctype, 3> p){ | |
98 | 13073 | auto tp = p; | |
99 | 13073 | tp *= cosAngle; | |
100 | 13073 | tp.axpy(sinAngle, Dumux::crossProduct({rotationAxis}, p)); | |
101 | 26146 | tp.axpy((1.0-cosAngle)*(rotationAxis*p), rotationAxis); | |
102 | tp *= scale; | ||
103 | 13073 | return tp.axpy(scale, translate); | |
104 | 845 | }; | |
105 | } | ||
106 | |||
107 | } // end namespace Dumux | ||
108 | |||
109 | #endif | ||
110 |