Directory: | ./ |
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File: | include/pinocchio/math/rpy.hxx |
Date: | 2025-02-12 21:03:38 |
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Lines: | 72 | 87 | 82.8% |
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1 | // | ||
2 | // Copyright (c) 2016-2020 CNRS INRIA | ||
3 | // | ||
4 | |||
5 | #ifndef __pinocchio_math_rpy_hxx__ | ||
6 | #define __pinocchio_math_rpy_hxx__ | ||
7 | |||
8 | #include <Eigen/Geometry> | ||
9 | |||
10 | #include "pinocchio/math/sincos.hpp" | ||
11 | |||
12 | namespace pinocchio | ||
13 | { | ||
14 | namespace rpy | ||
15 | { | ||
16 | template<typename Scalar> | ||
17 | 618 | Eigen::Matrix<Scalar, 3, 3> rpyToMatrix(const Scalar & r, const Scalar & p, const Scalar & y) | |
18 | { | ||
19 | typedef Eigen::AngleAxis<Scalar> AngleAxis; | ||
20 | typedef Eigen::Matrix<Scalar, 3, 1> Vector3s; | ||
21 |
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618 | return (AngleAxis(y, Vector3s::UnitZ()) * AngleAxis(p, Vector3s::UnitY()) |
22 |
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618 | * AngleAxis(r, Vector3s::UnitX())) |
23 |
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618 | .toRotationMatrix(); |
24 | } | ||
25 | |||
26 | template<typename Vector3Like> | ||
27 | Eigen:: | ||
28 | Matrix<typename Vector3Like::Scalar, 3, 3, PINOCCHIO_EIGEN_PLAIN_TYPE(Vector3Like)::Options> | ||
29 | 609 | rpyToMatrix(const Eigen::MatrixBase<Vector3Like> & rpy) | |
30 | { | ||
31 |
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609 | PINOCCHIO_ASSERT_MATRIX_SPECIFIC_SIZE(Vector3Like, rpy, 3, 1); |
32 | 609 | return rpyToMatrix(rpy[0], rpy[1], rpy[2]); | |
33 | } | ||
34 | |||
35 | template<typename Matrix3Like> | ||
36 | Eigen:: | ||
37 | Matrix<typename Matrix3Like::Scalar, 3, 1, PINOCCHIO_EIGEN_PLAIN_TYPE(Matrix3Like)::Options> | ||
38 | 602 | matrixToRpy(const Eigen::MatrixBase<Matrix3Like> & R) | |
39 | { | ||
40 |
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602 | PINOCCHIO_ASSERT_MATRIX_SPECIFIC_SIZE(Matrix3Like, R, 3, 3); |
41 |
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602 | assert(R.isUnitary() && "R is not a unitary matrix"); |
42 | |||
43 | typedef typename Matrix3Like::Scalar Scalar; | ||
44 | typedef Eigen::Matrix<Scalar, 3, 1, PINOCCHIO_EIGEN_PLAIN_TYPE(Matrix3Like)::Options> | ||
45 | ReturnType; | ||
46 |
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602 | static const Scalar pi = PI<Scalar>(); |
47 | |||
48 |
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602 | ReturnType res = R.eulerAngles(2, 1, 0).reverse(); |
49 | |||
50 |
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602 | if (res[1] < -pi / 2) |
51 | 32 | res[1] += 2 * pi; | |
52 | |||
53 |
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602 | if (res[1] > pi / 2) |
54 | { | ||
55 | 52 | res[1] = pi - res[1]; | |
56 |
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52 | if (res[0] < Scalar(0)) |
57 | 28 | res[0] += pi; | |
58 | else | ||
59 | 24 | res[0] -= pi; | |
60 | // res[2] > 0 according to Eigen's eulerAngles doc, no need to check its sign | ||
61 | 52 | res[2] -= pi; | |
62 | } | ||
63 | |||
64 | 602 | return res; | |
65 | } | ||
66 | |||
67 | template<typename Vector3Like> | ||
68 | Eigen:: | ||
69 | Matrix<typename Vector3Like::Scalar, 3, 3, PINOCCHIO_EIGEN_PLAIN_TYPE(Vector3Like)::Options> | ||
70 | 34 | computeRpyJacobian(const Eigen::MatrixBase<Vector3Like> & rpy, const ReferenceFrame rf) | |
71 | { | ||
72 | typedef typename Vector3Like::Scalar Scalar; | ||
73 | typedef Eigen::Matrix< | ||
74 | typename Vector3Like::Scalar, 3, 3, PINOCCHIO_EIGEN_PLAIN_TYPE(Vector3Like)::Options> | ||
75 | ReturnType; | ||
76 |
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34 | ReturnType J; |
77 |
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34 | const Scalar p = rpy[1]; |
78 | ✗ | Scalar sp, cp; | |
79 |
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34 | SINCOS(p, &sp, &cp); |
80 |
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34 | switch (rf) |
81 | { | ||
82 | 17 | case LOCAL: { | |
83 |
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17 | const Scalar r = rpy[0]; |
84 | ✗ | Scalar sr, cr; | |
85 |
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17 | SINCOS(r, &sr, &cr); |
86 |
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17 | J << Scalar(1.0), Scalar(0.0), -sp, Scalar(0.0), cr, sr * cp, Scalar(0.0), -sr, cr * cp; |
87 | 17 | return J; | |
88 | } | ||
89 | 17 | case WORLD: | |
90 | case LOCAL_WORLD_ALIGNED: { | ||
91 |
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17 | const Scalar y = rpy[2]; |
92 | ✗ | Scalar sy, cy; | |
93 |
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17 | SINCOS(y, &sy, &cy); |
94 |
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17 | J << cp * cy, -sy, Scalar(0.0), cp * sy, cy, Scalar(0.0), -sp, Scalar(0.0), Scalar(1.0); |
95 | 17 | return J; | |
96 | } | ||
97 | ✗ | default: { | |
98 | ✗ | throw std::invalid_argument("Bad reference frame."); | |
99 | } | ||
100 | } | ||
101 | } | ||
102 | |||
103 | template<typename Vector3Like> | ||
104 | Eigen:: | ||
105 | Matrix<typename Vector3Like::Scalar, 3, 3, PINOCCHIO_EIGEN_PLAIN_TYPE(Vector3Like)::Options> | ||
106 | 8 | computeRpyJacobianInverse(const Eigen::MatrixBase<Vector3Like> & rpy, const ReferenceFrame rf) | |
107 | { | ||
108 | typedef typename Vector3Like::Scalar Scalar; | ||
109 | typedef Eigen::Matrix< | ||
110 | typename Vector3Like::Scalar, 3, 3, PINOCCHIO_EIGEN_PLAIN_TYPE(Vector3Like)::Options> | ||
111 | ReturnType; | ||
112 |
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8 | ReturnType J; |
113 |
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8 | const Scalar p = rpy[1]; |
114 | ✗ | Scalar sp, cp; | |
115 |
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8 | SINCOS(p, &sp, &cp); |
116 |
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8 | Scalar tp = sp / cp; |
117 |
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8 | switch (rf) |
118 | { | ||
119 | 4 | case LOCAL: { | |
120 |
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4 | const Scalar r = rpy[0]; |
121 | ✗ | Scalar sr, cr; | |
122 |
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4 | SINCOS(r, &sr, &cr); |
123 |
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4 | J << Scalar(1.0), sr * tp, cr * tp, Scalar(0.0), cr, -sr, Scalar(0.0), sr / cp, cr / cp; |
124 | 4 | return J; | |
125 | } | ||
126 | 4 | case WORLD: | |
127 | case LOCAL_WORLD_ALIGNED: { | ||
128 |
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4 | const Scalar y = rpy[2]; |
129 | ✗ | Scalar sy, cy; | |
130 |
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4 | SINCOS(y, &sy, &cy); |
131 |
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4 | J << cy / cp, sy / cp, Scalar(0.0), -sy, cy, Scalar(0.0), cy * tp, sy * tp, Scalar(1.0); |
132 | 4 | return J; | |
133 | } | ||
134 | ✗ | default: { | |
135 | ✗ | throw std::invalid_argument("Bad reference frame."); | |
136 | } | ||
137 | } | ||
138 | } | ||
139 | |||
140 | template<typename Vector3Like0, typename Vector3Like1> | ||
141 | Eigen:: | ||
142 | Matrix<typename Vector3Like0::Scalar, 3, 3, PINOCCHIO_EIGEN_PLAIN_TYPE(Vector3Like0)::Options> | ||
143 | 16 | computeRpyJacobianTimeDerivative( | |
144 | const Eigen::MatrixBase<Vector3Like0> & rpy, | ||
145 | const Eigen::MatrixBase<Vector3Like1> & rpydot, | ||
146 | const ReferenceFrame rf) | ||
147 | { | ||
148 | typedef typename Vector3Like0::Scalar Scalar; | ||
149 | typedef Eigen::Matrix< | ||
150 | typename Vector3Like0::Scalar, 3, 3, PINOCCHIO_EIGEN_PLAIN_TYPE(Vector3Like0)::Options> | ||
151 | ReturnType; | ||
152 |
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16 | ReturnType J; |
153 |
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16 | const Scalar p = rpy[1]; |
154 |
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16 | const Scalar dp = rpydot[1]; |
155 | ✗ | Scalar sp, cp; | |
156 |
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16 | SINCOS(p, &sp, &cp); |
157 |
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16 | switch (rf) |
158 | { | ||
159 | 8 | case LOCAL: { | |
160 |
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8 | const Scalar r = rpy[0]; |
161 |
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8 | const Scalar dr = rpydot[0]; |
162 | ✗ | Scalar sr, cr; | |
163 |
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8 | SINCOS(r, &sr, &cr); |
164 |
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8 | J << Scalar(0.0), Scalar(0.0), -cp * dp, Scalar(0.0), -sr * dr, cr * cp * dr - sr * sp * dp, |
165 |
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8 | Scalar(0.0), -cr * dr, -sr * cp * dr - cr * sp * dp; |
166 | 8 | return J; | |
167 | } | ||
168 | 8 | case WORLD: | |
169 | case LOCAL_WORLD_ALIGNED: { | ||
170 |
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8 | const Scalar y = rpy[2]; |
171 |
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8 | const Scalar dy = rpydot[2]; |
172 | ✗ | Scalar sy, cy; | |
173 |
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8 | SINCOS(y, &sy, &cy); |
174 |
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8 | J << -sp * cy * dp - cp * sy * dy, -cy * dy, Scalar(0.0), cp * cy * dy - sp * sy * dp, |
175 |
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8 | -sy * dy, Scalar(0.0), -cp * dp, Scalar(0.0), Scalar(0.0); |
176 | 8 | return J; | |
177 | } | ||
178 | ✗ | default: { | |
179 | ✗ | throw std::invalid_argument("Bad reference frame."); | |
180 | } | ||
181 | } | ||
182 | } | ||
183 | |||
184 | } // namespace rpy | ||
185 | } // namespace pinocchio | ||
186 | #endif // #ifndef __pinocchio_math_rpy_hxx__ | ||
187 |