Directory: | ./ |
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File: | src/path-optimization/simple-time-parameterization.cc |
Date: | 2024-08-10 11:29:48 |
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1 | // Copyright (c) 2017, Joseph Mirabel | ||
2 | // Authors: Joseph Mirabel (joseph.mirabel@laas.fr) | ||
3 | // | ||
4 | |||
5 | // Redistribution and use in source and binary forms, with or without | ||
6 | // modification, are permitted provided that the following conditions are | ||
7 | // met: | ||
8 | // | ||
9 | // 1. Redistributions of source code must retain the above copyright | ||
10 | // notice, this list of conditions and the following disclaimer. | ||
11 | // | ||
12 | // 2. Redistributions in binary form must reproduce the above copyright | ||
13 | // notice, this list of conditions and the following disclaimer in the | ||
14 | // documentation and/or other materials provided with the distribution. | ||
15 | // | ||
16 | // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | ||
17 | // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | ||
18 | // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR | ||
19 | // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT | ||
20 | // HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | ||
21 | // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT | ||
22 | // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, | ||
23 | // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY | ||
24 | // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | ||
25 | // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE | ||
26 | // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH | ||
27 | // DAMAGE. | ||
28 | |||
29 | #include <hpp/core/interpolated-path.hh> | ||
30 | #include <hpp/core/path-optimization/simple-time-parameterization.hh> | ||
31 | #include <hpp/core/path-vector.hh> | ||
32 | #include <hpp/core/problem.hh> | ||
33 | #include <hpp/core/straight-path.hh> | ||
34 | #include <hpp/core/time-parameterization/polynomial.hh> | ||
35 | #include <hpp/pinocchio/configuration.hh> | ||
36 | #include <hpp/pinocchio/device.hh> | ||
37 | #include <hpp/pinocchio/liegroup.hh> | ||
38 | #include <limits> | ||
39 | #include <pinocchio/multibody/model.hpp> | ||
40 | |||
41 | namespace hpp { | ||
42 | namespace core { | ||
43 | namespace pathOptimization { | ||
44 | using std::isfinite; | ||
45 | using timeParameterization::Polynomial; | ||
46 | |||
47 | namespace { | ||
48 | ✗ | TimeParameterizationPtr_t computeTimeParameterizationFirstOrder( | |
49 | const value_type& s0, const value_type& s1, const value_type& B, | ||
50 | value_type& T) { | ||
51 | ✗ | vector_t a(2); | |
52 | ✗ | T = (s1 - s0) / B; | |
53 | ✗ | a[0] = s0; | |
54 | ✗ | a[1] = B; | |
55 | hppDout(info, "Time parametrization returned " << a.transpose() << ", " << T); | ||
56 | ✗ | if (!isfinite(T) || !a.allFinite() || a.hasNaN()) { | |
57 | ✗ | HPP_THROW(std::logic_error, | |
58 | "Invalid time parameterization " | ||
59 | "coefficients: " | ||
60 | << a.transpose()); | ||
61 | } | ||
62 | ✗ | return TimeParameterizationPtr_t(new Polynomial(a)); | |
63 | } | ||
64 | |||
65 | ✗ | TimeParameterizationPtr_t computeTimeParameterizationThirdOrder( | |
66 | const value_type& s0, const value_type& s1, const value_type& B, | ||
67 | value_type& T) { | ||
68 | ✗ | vector_t a(4); | |
69 | ✗ | T = 3 * (s1 - s0) / (2 * B); | |
70 | ✗ | a[0] = s0; | |
71 | ✗ | a[1] = 0; | |
72 | ✗ | a[2] = 3 * (s1 - s0) / (T * T); | |
73 | ✗ | a[3] = -2 * a[2] / (3 * T); | |
74 | hppDout(info, "Time parametrization returned " << a.transpose() << ", " << T); | ||
75 | ✗ | if (!isfinite(T) || !a.allFinite() || a.hasNaN()) { | |
76 | ✗ | HPP_THROW(std::logic_error, | |
77 | "Invalid time parameterization " | ||
78 | "coefficients: " | ||
79 | << a.transpose()); | ||
80 | } | ||
81 | ✗ | return TimeParameterizationPtr_t(new Polynomial(a)); | |
82 | } | ||
83 | |||
84 | ✗ | TimeParameterizationPtr_t computeTimeParameterizationFifthOrder( | |
85 | const value_type& s0, const value_type& s1, const value_type& B, | ||
86 | const value_type& C, value_type& T) { | ||
87 | ✗ | vector_t a(6); | |
88 | ✗ | if (C > 0) { | |
89 | ✗ | T = std::max( | |
90 | ✗ | 15 * (s1 - s0) / (8 * B), // Velocity limit | |
91 | ✗ | sqrt((10. / std::sqrt(3))) * sqrt((s1 - s0) / C) // Acceleration limit | |
92 | ); | ||
93 | } else { | ||
94 | ✗ | T = 15 * (s1 - s0) / (8 * B); | |
95 | } | ||
96 | |||
97 | ✗ | value_type Tpow = T * T * T; | |
98 | ✗ | a[0] = s0; | |
99 | ✗ | a[1] = 0; | |
100 | ✗ | a[2] = 0; | |
101 | ✗ | a[3] = 10 * (s1 - s0) / Tpow; | |
102 | ✗ | Tpow *= T; | |
103 | ✗ | a[4] = -15 * (s1 - s0) / Tpow; | |
104 | ✗ | Tpow *= T; | |
105 | ✗ | a[5] = 6 * (s1 - s0) / Tpow; | |
106 | hppDout(info, "Time parametrization returned " << a.transpose() << ", " << T); | ||
107 | ✗ | if (!isfinite(T) || !a.allFinite() || a.hasNaN()) { | |
108 | ✗ | HPP_THROW(std::logic_error, | |
109 | "Invalid time parameterization " | ||
110 | "coefficients: " | ||
111 | << a.transpose()); | ||
112 | } | ||
113 | ✗ | return TimeParameterizationPtr_t(new Polynomial(a)); | |
114 | } | ||
115 | |||
116 | ✗ | void checkTimeParameterization(const TimeParameterizationPtr_t tp, | |
117 | const size_type order, const interval_t sr, | ||
118 | const value_type B, const value_type& C, | ||
119 | const value_type T) { | ||
120 | using std::fabs; | ||
121 | ✗ | const value_type thr = | |
122 | std::sqrt(Eigen::NumTraits<value_type>::dummy_precision()); | ||
123 | ✗ | if (fabs(tp->value(0) - sr.first) >= thr || | |
124 | ✗ | fabs(tp->value(T) - sr.second) >= thr) { | |
125 | ✗ | HPP_THROW(std::logic_error, | |
126 | "Interval of TimeParameterization result" | ||
127 | " is not correct. Expected " | ||
128 | << sr.first << ", " << sr.second << ". Got " << tp->value(0) | ||
129 | << ", " << tp->value(T)); | ||
130 | } | ||
131 | ✗ | if (order >= 1 && | |
132 | ✗ | (fabs(tp->derivative(0, 1)) > thr || fabs(tp->derivative(T, 1)) > thr || | |
133 | ✗ | ((C <= 0) && fabs(tp->derivative(T / 2, 1) - B) > thr))) { | |
134 | ✗ | HPP_THROW( | |
135 | std::logic_error, | ||
136 | "Derivative of TimeParameterization are not correct:" | ||
137 | << "\ntp->derivative(0, 1) = " << tp->derivative(0, 1) | ||
138 | << "\ntp->derivative(T, 1) = " << tp->derivative(T, 1) | ||
139 | << "\ntp->derivative(T/2, 1) - B = " << tp->derivative(T / 2, 1) - B | ||
140 | << "\nT = " << T << "\nB = " << B << "\nC = " << C); | ||
141 | } | ||
142 | ✗ | if (order >= 2 && | |
143 | ✗ | (fabs(tp->derivative(0, 2)) > thr || fabs(tp->derivative(T, 2)) > thr)) { | |
144 | ✗ | HPP_THROW(std::logic_error, | |
145 | "Derivative of TimeParameterization are not correct:" | ||
146 | << "\ntp->derivative(0, 2) = " << tp->derivative(0, 2) | ||
147 | << "\ntp->derivative(T, 2) = " << tp->derivative(T, 2) | ||
148 | << "\nT = " << T); | ||
149 | } | ||
150 | } | ||
151 | } // namespace | ||
152 | |||
153 | ✗ | SimpleTimeParameterizationPtr_t SimpleTimeParameterization::create( | |
154 | const ProblemConstPtr_t& problem) { | ||
155 | ✗ | SimpleTimeParameterizationPtr_t ptr(new SimpleTimeParameterization(problem)); | |
156 | ✗ | return ptr; | |
157 | } | ||
158 | |||
159 | ✗ | PathVectorPtr_t SimpleTimeParameterization::optimize( | |
160 | const PathVectorPtr_t& path) { | ||
161 | ✗ | if (path->length() == 0) { | |
162 | ✗ | return path; | |
163 | } | ||
164 | ✗ | const value_type infinity = std::numeric_limits<value_type>::infinity(); | |
165 | |||
166 | const value_type safety = | ||
167 | ✗ | problem()->getParameter("SimpleTimeParameterization/safety").floatValue(); | |
168 | const size_type order = | ||
169 | ✗ | problem()->getParameter("SimpleTimeParameterization/order").intValue(); | |
170 | const value_type maxAcc = | ||
171 | ✗ | problem() | |
172 | ✗ | ->getParameter("SimpleTimeParameterization/maxAcceleration") | |
173 | ✗ | .floatValue(); | |
174 | ✗ | if (order <= 1 && maxAcc > 0) { | |
175 | ✗ | throw std::invalid_argument( | |
176 | "Maximum acceleration cannot be set when order is <= to 1. Please set " | ||
177 | "parameter SimpleTimeParameterization/maxAcceleration to a negative " | ||
178 | ✗ | "value."); | |
179 | } | ||
180 | |||
181 | // Retrieve velocity limits | ||
182 | ✗ | const DevicePtr_t& robot = problem()->robot(); | |
183 | ✗ | vector_t ub(robot->model().velocityLimit), lb(-robot->model().velocityLimit), | |
184 | ✗ | cb((ub + lb) / 2); | |
185 | ✗ | assert(cb.size() + robot->extraConfigSpace().dimension() == | |
186 | robot->numberDof()); | ||
187 | |||
188 | // The velocity must be in [lb, ub] | ||
189 | ✗ | ub = cb + safety * (ub - cb); | |
190 | ✗ | lb = cb + safety * (lb - cb); | |
191 | |||
192 | // When ub or lb are NaN, set them to infinity. | ||
193 | ✗ | ub = (ub.array() == ub.array()).select(ub, infinity); | |
194 | ✗ | lb = (lb.array() == lb.array()).select(lb, -infinity); | |
195 | |||
196 | ✗ | for (size_type i = 0; i < cb.size(); ++i) { | |
197 | ✗ | if (std::isnan(lb[i]) || std::isnan(ub[i])) { | |
198 | ✗ | HPP_THROW( | |
199 | std::runtime_error, | ||
200 | "in SimpleTimeParameterization::optimize:\n" | ||
201 | << " the velocities of the input device should be bounded\n" | ||
202 | << " velocity bounds at rank " << i << " are [" << lb[i] << ", " | ||
203 | << ub[i] << "]."); | ||
204 | } | ||
205 | } | ||
206 | |||
207 | hppDout(info, "Lower velocity bound :" << lb.transpose()); | ||
208 | hppDout(info, "Upper velocity bound :" << ub.transpose()); | ||
209 | |||
210 | ✗ | if ((ub.array() <= 0).any() && (lb.array() >= 0).any()) | |
211 | ✗ | throw std::invalid_argument( | |
212 | "The case where zero is not an admissible velocity is not " | ||
213 | ✗ | "implemented."); | |
214 | |||
215 | PathVectorPtr_t input = | ||
216 | ✗ | PathVector::create(path->outputSize(), path->outputDerivativeSize()); | |
217 | PathVectorPtr_t output = | ||
218 | ✗ | PathVector::create(path->outputSize(), path->outputDerivativeSize()); | |
219 | ✗ | path->flatten(input); | |
220 | |||
221 | ✗ | vector_t v(robot->numberDof()); | |
222 | ✗ | vector_t v_inv(robot->numberDof()); | |
223 | ✗ | for (std::size_t i = 0; i < input->numberPaths(); ++i) { | |
224 | ✗ | PathPtr_t p = input->pathAtRank(i); | |
225 | ✗ | interval_t paramRange = p->paramRange(); | |
226 | // Skip sub path of 0 length. | ||
227 | ✗ | if (paramRange.first == paramRange.second) continue; | |
228 | ✗ | p->timeParameterization(TimeParameterizationPtr_t(), paramRange); | |
229 | |||
230 | ✗ | PathPtr_t pp = p->copy(); | |
231 | // if (p->length() > 0) { | ||
232 | // output->appendPath (pp); | ||
233 | // continue; | ||
234 | // } | ||
235 | // Compute B | ||
236 | ✗ | p->velocityBound(v, paramRange.first, paramRange.second); | |
237 | ✗ | v_inv = (v.array() == 0).select(infinity, v.cwiseInverse()); | |
238 | ✗ | const value_type B = std::min((ub.cwiseProduct(v_inv)).minCoeff(), | |
239 | ✗ | (-lb.cwiseProduct(v_inv)).minCoeff()); | |
240 | ✗ | if (B <= 0 || B != B || !isfinite(B)) { | |
241 | ✗ | HPP_THROW(std::runtime_error, | |
242 | "Invalid parametrization derivative " | ||
243 | "velocity bound: " | ||
244 | << B); | ||
245 | } | ||
246 | |||
247 | // Compute the polynom and total time | ||
248 | value_type T; | ||
249 | ✗ | TimeParameterizationPtr_t tp; | |
250 | ✗ | switch (order) { | |
251 | ✗ | case 0: | |
252 | ✗ | tp = computeTimeParameterizationFirstOrder(paramRange.first, | |
253 | ✗ | paramRange.second, B, T); | |
254 | ✗ | break; | |
255 | ✗ | case 1: | |
256 | ✗ | tp = computeTimeParameterizationThirdOrder(paramRange.first, | |
257 | ✗ | paramRange.second, B, T); | |
258 | ✗ | break; | |
259 | ✗ | case 2: | |
260 | ✗ | tp = computeTimeParameterizationFifthOrder( | |
261 | ✗ | paramRange.first, paramRange.second, B, maxAcc, T); | |
262 | ✗ | break; | |
263 | ✗ | default: | |
264 | ✗ | throw std::invalid_argument( | |
265 | "Parameter SimpleTimeParameterization/order should be in { 0, 1, 2 " | ||
266 | ✗ | "}"); | |
267 | break; | ||
268 | } | ||
269 | |||
270 | ✗ | checkTimeParameterization(tp, order, paramRange, B, maxAcc, T); | |
271 | |||
272 | ✗ | pp->timeParameterization(tp, interval_t(0, T)); | |
273 | ✗ | output->appendPath(pp); | |
274 | } | ||
275 | ✗ | return output; | |
276 | } | ||
277 | |||
278 | ✗ | SimpleTimeParameterization::SimpleTimeParameterization( | |
279 | ✗ | const ProblemConstPtr_t& problem) | |
280 | ✗ | : PathOptimizer(problem) {} | |
281 | |||
282 | // ----------- Declare parameters ------------------------------------- // | ||
283 | |||
284 | 18 | HPP_START_PARAMETER_DECLARATION(SimpleTimeParameterization) | |
285 |
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18 | Problem::declareParameter(ParameterDescription( |
286 | Parameter::FLOAT, "SimpleTimeParameterization/safety", | ||
287 |
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36 | "A scaling factor for the joint bounds.", Parameter(1.))); |
288 |
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18 | Problem::declareParameter(ParameterDescription( |
289 | Parameter::INT, "SimpleTimeParameterization/order", | ||
290 |
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36 | "The desired continuity order.", Parameter((size_type)0))); |
291 |
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18 | Problem::declareParameter(ParameterDescription( |
292 | Parameter::FLOAT, "SimpleTimeParameterization/maxAcceleration", | ||
293 | "The maximum acceleration for each degree of freedom. Not considered if " | ||
294 | "negative.", | ||
295 |
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36 | Parameter((value_type)-1))); |
296 | 18 | HPP_END_PARAMETER_DECLARATION(SimpleTimeParameterization) | |
297 | } // namespace pathOptimization | ||
298 | } // namespace core | ||
299 | } // namespace hpp | ||
300 |