Directory: | ./ |
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File: | include/pinocchio/spatial/cartesian-axis.hpp |
Date: | 2025-02-12 21:03:38 |
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1 | // | ||
2 | // Copyright (c) 2017-2020 CNRS INRIA | ||
3 | // | ||
4 | |||
5 | #ifndef __pinocchio_cartesian_axis_hpp__ | ||
6 | #define __pinocchio_cartesian_axis_hpp__ | ||
7 | |||
8 | #include "pinocchio/fwd.hpp" | ||
9 | |||
10 | namespace pinocchio | ||
11 | { | ||
12 | |||
13 | template<int _axis> | ||
14 | struct CartesianAxis | ||
15 | { | ||
16 | enum | ||
17 | { | ||
18 | axis = _axis, | ||
19 | dim = 3 | ||
20 | }; | ||
21 | |||
22 | typedef Eigen::Matrix<double, 3, 1> Vector3; | ||
23 | |||
24 | template<typename V3_in, typename V3_out> | ||
25 | inline static void | ||
26 | cross(const Eigen::MatrixBase<V3_in> & vin, const Eigen::MatrixBase<V3_out> & vout); | ||
27 | |||
28 | template<typename V3> | ||
29 | 4790 | static typename PINOCCHIO_EIGEN_PLAIN_TYPE(V3) cross(const Eigen::MatrixBase<V3> & vin) | |
30 | { | ||
31 | 4790 | typename PINOCCHIO_EIGEN_PLAIN_TYPE(V3) res; | |
32 |
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4790 | cross(vin, res); |
33 | 4790 | return res; | |
34 | } | ||
35 | |||
36 | template<typename Scalar, typename V3_in, typename V3_out> | ||
37 | inline static void alphaCross( | ||
38 | const Scalar & s, | ||
39 | const Eigen::MatrixBase<V3_in> & vin, | ||
40 | const Eigen::MatrixBase<V3_out> & vout); | ||
41 | |||
42 | template<typename Scalar, typename V3> | ||
43 | static typename PINOCCHIO_EIGEN_PLAIN_TYPE(V3) | ||
44 | 6 | alphaCross(const Scalar & s, const Eigen::MatrixBase<V3> & vin) | |
45 | { | ||
46 | 6 | typename PINOCCHIO_EIGEN_PLAIN_TYPE(V3) res; | |
47 | 6 | alphaCross(s, vin, res); | |
48 | 6 | return res; | |
49 | } | ||
50 | |||
51 | template<typename Scalar> | ||
52 | 146 | Eigen::Matrix<Scalar, dim, 1> operator*(const Scalar & s) const | |
53 | { | ||
54 | typedef Eigen::Matrix<Scalar, dim, 1> ReturnType; | ||
55 | 146 | ReturnType res; | |
56 |
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584 | for (Eigen::DenseIndex i = 0; i < dim; ++i) |
57 |
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438 | res[i] = i == axis ? s : Scalar(0); |
58 | |||
59 | 146 | return res; | |
60 | } | ||
61 | |||
62 | template<typename Scalar> | ||
63 | 6 | friend inline Eigen::Matrix<Scalar, dim, 1> operator*(const Scalar & s, const CartesianAxis &) | |
64 | { | ||
65 |
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12 | return CartesianAxis() * s; |
66 | } | ||
67 | |||
68 | template<typename Vector3Like> | ||
69 | static void setTo(const Eigen::MatrixBase<Vector3Like> v3) | ||
70 | { | ||
71 | Vector3Like & v3_ = PINOCCHIO_EIGEN_CONST_CAST(Vector3Like, v3); | ||
72 | typedef typename Vector3Like::Scalar Scalar; | ||
73 | |||
74 | for (Eigen::DenseIndex i = 0; i < dim; ++i) | ||
75 | v3_[i] = i == axis ? Scalar(1) : Scalar(0); | ||
76 | } | ||
77 | |||
78 | template<typename Scalar> | ||
79 | 261 | static Eigen::Matrix<Scalar, 3, 1> vector() | |
80 | { | ||
81 | typedef Eigen::Matrix<Scalar, 3, 1> Vector3; | ||
82 |
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261 | return Vector3::Unit(axis); |
83 | } | ||
84 | |||
85 | 44 | static Vector3 vector() | |
86 | { | ||
87 | 44 | return vector<double>(); | |
88 | } | ||
89 | |||
90 | }; // struct CartesianAxis | ||
91 | |||
92 | template<> | ||
93 | template<typename V3_in, typename V3_out> | ||
94 | 1935 | inline void CartesianAxis<0>::cross( | |
95 | const Eigen::MatrixBase<V3_in> & vin, const Eigen::MatrixBase<V3_out> & vout) | ||
96 | { | ||
97 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(V3_in, 3) | ||
98 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(V3_out, 3) | ||
99 | 1935 | V3_out & vout_ = PINOCCHIO_EIGEN_CONST_CAST(V3_out, vout); | |
100 |
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1935 | vout_[0] = 0.; |
101 |
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1935 | vout_[1] = -vin[2]; |
102 |
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1935 | vout_[2] = vin[1]; |
103 | 1935 | } | |
104 | |||
105 | template<> | ||
106 | template<typename V3_in, typename V3_out> | ||
107 | 2661 | inline void CartesianAxis<1>::cross( | |
108 | const Eigen::MatrixBase<V3_in> & vin, const Eigen::MatrixBase<V3_out> & vout) | ||
109 | { | ||
110 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(V3_in, 3) | ||
111 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(V3_out, 3) | ||
112 | 2661 | V3_out & vout_ = PINOCCHIO_EIGEN_CONST_CAST(V3_out, vout); | |
113 |
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2661 | vout_[0] = vin[2]; |
114 |
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2661 | vout_[1] = 0.; |
115 |
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2661 | vout_[2] = -vin[0]; |
116 | 2661 | } | |
117 | |||
118 | template<> | ||
119 | template<typename V3_in, typename V3_out> | ||
120 | 1061 | inline void CartesianAxis<2>::cross( | |
121 | const Eigen::MatrixBase<V3_in> & vin, const Eigen::MatrixBase<V3_out> & vout) | ||
122 | { | ||
123 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(V3_in, 3) | ||
124 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(V3_out, 3) | ||
125 | 1061 | V3_out & vout_ = PINOCCHIO_EIGEN_CONST_CAST(V3_out, vout); | |
126 |
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1061 | vout_[0] = -vin[1]; |
127 |
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1061 | vout_[1] = vin[0]; |
128 |
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1061 | vout_[2] = 0.; |
129 | 1061 | } | |
130 | |||
131 | template<> | ||
132 | template<typename Scalar, typename V3_in, typename V3_out> | ||
133 | 65797 | inline void CartesianAxis<0>::alphaCross( | |
134 | const Scalar & s, const Eigen::MatrixBase<V3_in> & vin, const Eigen::MatrixBase<V3_out> & vout) | ||
135 | { | ||
136 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(V3_in, 3) | ||
137 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(V3_out, 3) | ||
138 | 65797 | V3_out & vout_ = PINOCCHIO_EIGEN_CONST_CAST(V3_out, vout); | |
139 |
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65797 | vout_[0] = 0.; |
140 |
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65797 | vout_[1] = -s * vin[2]; |
141 |
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65797 | vout_[2] = s * vin[1]; |
142 | 65797 | } | |
143 | |||
144 | template<> | ||
145 | template<typename Scalar, typename V3_in, typename V3_out> | ||
146 | 106520 | inline void CartesianAxis<1>::alphaCross( | |
147 | const Scalar & s, const Eigen::MatrixBase<V3_in> & vin, const Eigen::MatrixBase<V3_out> & vout) | ||
148 | { | ||
149 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(V3_in, 3) | ||
150 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(V3_out, 3) | ||
151 | 106520 | V3_out & vout_ = PINOCCHIO_EIGEN_CONST_CAST(V3_out, vout); | |
152 |
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106520 | vout_[0] = s * vin[2]; |
153 |
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106520 | vout_[1] = 0.; |
154 |
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106520 | vout_[2] = -s * vin[0]; |
155 | 106520 | } | |
156 | |||
157 | template<> | ||
158 | template<typename Scalar, typename V3_in, typename V3_out> | ||
159 | 41056 | inline void CartesianAxis<2>::alphaCross( | |
160 | const Scalar & s, const Eigen::MatrixBase<V3_in> & vin, const Eigen::MatrixBase<V3_out> & vout) | ||
161 | { | ||
162 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(V3_in, 3) | ||
163 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(V3_out, 3) | ||
164 | 41056 | V3_out & vout_ = PINOCCHIO_EIGEN_CONST_CAST(V3_out, vout); | |
165 |
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41056 | vout_[0] = -s * vin[1]; |
166 |
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41056 | vout_[1] = s * vin[0]; |
167 |
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41056 | vout_[2] = 0.; |
168 | 41056 | } | |
169 | |||
170 | typedef CartesianAxis<0> XAxis; | ||
171 | typedef XAxis AxisX; | ||
172 | |||
173 | typedef CartesianAxis<1> YAxis; | ||
174 | typedef YAxis AxisY; | ||
175 | |||
176 | typedef CartesianAxis<2> ZAxis; | ||
177 | typedef ZAxis AxisZ; | ||
178 | |||
179 | } // namespace pinocchio | ||
180 | |||
181 | #endif // __pinocchio_cartesian_axis_hpp__ | ||
182 |