| Directory: | ./ |
|---|---|
| File: | include/pinocchio/math/rpy.hxx |
| Date: | 2025-02-12 21:03:38 |
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| Lines: | 72 | 87 | 82.8% |
| Branches: | 100 | 423 | 23.6% |
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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 |