diff --git a/doc/cubic-b-spline.tex b/doc/cubic-b-spline.tex index 3934f4b..660635d 100644 --- a/doc/cubic-b-spline.tex +++ b/doc/cubic-b-spline.tex @@ -11,7 +11,7 @@ \maketitle \section {Definition} -\paragraph {Knots} $m \leq 4$ increasing real values: +\paragraph {Knots} $m \geq 4$ increasing real values: $$ t_0 \leq t_1 \leq \cdots \leq t_{m-1} $$ diff --git a/include/roboptim/trajectory/cubic-b-spline.hh b/include/roboptim/trajectory/cubic-b-spline.hh index 2f386eb..8114053 100644 --- a/include/roboptim/trajectory/cubic-b-spline.hh +++ b/include/roboptim/trajectory/cubic-b-spline.hh @@ -44,6 +44,7 @@ namespace trajectory typedef std::vector polynomials3vectors_t; + typedef std::vector knots_t; /// \brief Instantiate a cubic B-Spline from its definition. /// @@ -58,6 +59,19 @@ namespace trajectory const vector_t& parameters, const std::string name = "cubic B-Spline"); + /// \brief Instantiate a cubic B-Spline from its definition. + /// + /// \param dimension spline dimension: \f$n\f$ + /// \param knots vector of knots, + /// \param parameters vector of parameters defining control points + /// \param name function title + /// + /// The number of control points is inferred from the dimension of + /// the parameter vector. + CubicBSpline (size_type dimension, const knots_t& knots, + const vector_t& parameters, + const std::string name = "cubic B-Spline"); + /// \brief Copy constructor. /// \param spline spline that will be copied CubicBSpline (const CubicBSpline& spline); @@ -193,7 +207,7 @@ namespace trajectory size_type nbp_; /// \brief Vector of knots. - std::vector knots_; + knots_t knots_; /// \brief Basis polynomials. /// basisPolynomials_[i][j] = B_{i,i+j} diff --git a/src/cubic-b-spline.cc b/src/cubic-b-spline.cc index 00677a8..10ea9fe 100644 --- a/src/cubic-b-spline.cc +++ b/src/cubic-b-spline.cc @@ -50,6 +50,26 @@ namespace trajectory knots_.push_back (ti); ti += delta_t; } + // interval lower bound should be rigorously equal to knot 3. + knots_ [3] = tr.first; + setParameters (p); + computeBasisPolynomials (); + } + + CubicBSpline::CubicBSpline (size_type outputSize, const knots_t& knots, + const vector_t& p, std::string name) + : Trajectory<3> (std::make_pair (knots [3], knots [knots.size ()-4]), + outputSize, p, name), nbp_ (p.size () / outputSize), + knots_ (knots), uniform_ (false) + { + // Parameter size should be a multiple of spline dimension. + assert (parameters_.size () % outputSize == 0); + + // Number of control points should be at least 4. + assert (nbp_ >= 4); + + // Fill vector of regularly spaced knots. + assert (knots_.size () - (nbp_ + 4) == 0); setParameters (p); computeBasisPolynomials (); } @@ -107,7 +127,7 @@ namespace trajectory * Monomial3 (t4) * Monomial3 (t1) * Monomial3 (t1); Polynomial3 B2 = - 1./((t3-t0)*(t3-t1)*(t2-t1)) + 1./((t3-t0)*(t3-t1)*(t3-t2)) * Monomial3 (t0) * Monomial3 (t3) * Monomial3 (t3) + 1./((t4-t1)*(t3-t1)*(t3-t2)) @@ -162,41 +182,26 @@ namespace trajectory t = detail::fixTime (t, *this); typedef boost::numeric::converter Double2SizeType; - // t_3 - double tmin = timeRange ().first; size_type imin = 3; - - // t_{m-4} - double tmax = timeRange ().second; - size_type imax = nbp_; + size_type imax = knots_.size () - 5; unsigned int count = 0; bool found = false; size_type i = 1; std::size_t i_ = static_cast (i); - size_type iPrev = 0; - while (!found && iPrev != i) + while (!found) { i = Double2SizeType::convert - (std::floor (static_cast (imin) + (t - tmin) - / (tmax - tmin) * static_cast (imax - imin))); + (std::floor (.5 * static_cast (imin + imax) + .5)); i_ = static_cast (i); - if (t < knots_ [i_]) { - tmax = knots_ [i_ - 1]; imax = i - 1; } else if (t >= knots_ [i_ + 1]) { - if (t < knots_ [i_ + 2]) - { - i = i + 1; - found = true; - } imin = i + 1; - tmin = knots_ [i_ + 1]; } else { @@ -204,12 +209,13 @@ namespace trajectory } ++count; assert (count < 10000); - iPrev = i; } if (i > nbp_ - 1) i = nbp_-1; if (i < 3) i = 3; + assert (knots_ [i] <= t); + assert (t <= knots_ [i+1]); return i; } diff --git a/tests/CMakeLists.txt b/tests/CMakeLists.txt index f62bf04..6426bab 100644 --- a/tests/CMakeLists.txt +++ b/tests/CMakeLists.txt @@ -111,6 +111,11 @@ ROBOPTIM_TRAJECTORY_TEST(state-function) # Spline. ROBOPTIM_TRAJECTORY_TEST(cubic-b-spline) +CONFIGURE_FILE ("cubic-b-spline-gradient.stdout" + "cubic-b-spline-gradient.stdout") +ROBOPTIM_TRAJECTORY_TEST(cubic-b-spline-2) +CONFIGURE_FILE ("cubic-b-spline-2.stdout" + "cubic-b-spline-2.stdout") ROBOPTIM_TRAJECTORY_TEST(cubic-b-spline-gradient) ROBOPTIM_TRAJECTORY_TEST(b-spline) ROBOPTIM_TRAJECTORY_TEST(constrained-b-spline) diff --git a/tests/cubic-b-spline-2.cc b/tests/cubic-b-spline-2.cc new file mode 100644 index 0000000..037d7e1 --- /dev/null +++ b/tests/cubic-b-spline-2.cc @@ -0,0 +1,127 @@ +// Copyright (C) 2009 by Thomas Moulard, AIST, CNRS, INRIA. +// +// This file is part of the roboptim. +// +// roboptim is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// roboptim is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with roboptim. If not, see . + +#undef NDEBUG + +#include +#include +#include +#include "shared-tests/fixture.hh" + +#include + +#include +#include +#include + +#include + +#include +#include + +using namespace roboptim; +using namespace roboptim::trajectory; +using namespace roboptim::visualization; +using namespace roboptim::visualization::gnuplot; + +typedef CubicBSpline::size_type size_type; +typedef CubicBSpline::value_type value_type; + +typedef std::vector < std::vector < value_type > > matrix_t; + +matrix_t getReference (const std::string& file) +{ + matrix_t result; + size_type nbRows = 0; + + std::ifstream f; f.open (file.c_str ()); + std::string line; + + while (f.good ()) { + std::vector data; + std::getline (f, line); + std::stringstream ss (line); + std::copy (std::istream_iterator< value_type > (ss), + std::istream_iterator< value_type > (), + std::back_inserter (data)); + ++nbRows; + result.push_back (data); + } + return result; +} + +BOOST_FIXTURE_TEST_SUITE (trajectory, TestSuiteConfiguration) + +BOOST_AUTO_TEST_CASE (trajectory_cubic_b_spline) +{ + using namespace roboptim::visualization::gnuplot; + size_type nbRows = 0; + matrix_t reference = getReference ("cubic-b-spline-2.stdout"); + if (reference.size () == 0) { + throw std::runtime_error + ("failed to open file \"cubic-b-spline-2.stdout\""); + } + double tol = 1e-6; + + size_type nbKnots = 12; + double knotArray [] = + { -3, -2, -1, 0, .2, 1., 1.2, 1.8, 1.9, 2.2, 3.2, 4.2}; + CubicBSpline::knots_t knots (nbKnots); + for (std::size_t i=0; i<(std::size_t)nbKnots ; ++i) knots [i] = knotArray [i]; + std::vector params; + + for (std::size_t i=0; i < (std::size_t)(nbKnots-4); ++i) { + params.push_back (CubicBSpline::vector_t (nbKnots - 4)); + params [i].setZero (); + params [i][i] = 1; + } + + std::ofstream f; f.open ("output"); + for (std::size_t i=0; i<(std::size_t)nbKnots-4; ++i) { + CubicBSpline spline (1, knots, params [i], "Cubic B-spline"); + + discreteInterval_t interval (spline.timeRange ().first, + spline.timeRange ().second, 0.002); + + std::cout + << + (boost::format + ("set term wxt persist title 'Spline: base functions' %1% font ',5'") + % i) << std::endl + << "set grid xtics noytics linewidth 0.5" << std::endl + << "set xlabel 't'" << std::endl + << "set ylabel 'value'" << std::endl; + std::string title ("spline"); + std::cout << "plot '-' title '"<< title <<"' with line\n"; + + spline (0.95); + // Loop over the interval of definition + for (double t = boost::get<0> (interval); t < boost::get<1> (interval); + t += boost::get<2> (interval)) { + CubicBSpline::vector_t value = spline (t); + std::cout << (boost::format ("%1.3f %2.8f\n") + % normalize (t) + % normalize (value (0))).str (); + BOOST_CHECK_SMALL (t - reference [nbRows][0], tol); + BOOST_CHECK_SMALL (value (0) - reference [nbRows][1], tol); + ++nbRows; + } + std::cout << "e" << std::endl; + } + std::cout << "unset multiplot" << std::endl; +} +BOOST_AUTO_TEST_SUITE_END () diff --git 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+1.84 0.00114286 +1.842 0.001323 +1.844 0.00152114 +1.846 0.00173814 +1.848 0.00197486 +1.85 0.00223214 +1.852 0.00251086 +1.854 0.00281186 +1.856 0.003136 +1.858 0.00348414 +1.86 0.00385714 +1.862 0.00425586 +1.864 0.00468114 +1.866 0.00513386 +1.868 0.00561486 +1.87 0.006125 +1.872 0.00666514 +1.874 0.00723614 +1.876 0.00783886 +1.878 0.00847414 +1.88 0.00914286 +1.882 0.00984586 +1.884 0.010584 +1.886 0.0113581 +1.888 0.0121691 +1.89 0.0130179 +1.892 0.0139051 +1.894 0.0148319 +1.896 0.0157989 +1.898 0.016807 diff --git a/tests/cubic-b-spline-gradient.cc b/tests/cubic-b-spline-gradient.cc index 8ae2cbe..4383958 100644 --- a/tests/cubic-b-spline-gradient.cc +++ b/tests/cubic-b-spline-gradient.cc @@ -17,6 +17,9 @@ #undef NDEBUG +#include +#include + #include #include @@ -39,20 +42,49 @@ using namespace roboptim::trajectory; using namespace roboptim::visualization; using namespace roboptim::visualization::gnuplot; +typedef CubicBSpline::value_type value_type; +typedef CubicBSpline::size_type size_type; +typedef std::vector < std::vector < value_type > > matrix_t; + +matrix_t getReference (const std::string& file) +{ + matrix_t result; + size_type nbRows = 0; + + std::ifstream f; f.open (file.c_str ()); + std::string line; + + while (f.good ()) { + std::vector data; + std::getline (f, line); + std::stringstream ss (line); + std::copy (std::istream_iterator< value_type > (ss), + std::istream_iterator< value_type > (), + std::back_inserter (data)); + ++nbRows; + result.push_back (data); + } + return result; +} + BOOST_FIXTURE_TEST_SUITE (trajectory, TestSuiteConfiguration) BOOST_AUTO_TEST_CASE (trajectory_cubic_b_spline_gradient) { using namespace roboptim::visualization::gnuplot; - - boost::shared_ptr - output = retrievePattern("cubic-b-spline-gradient"); + size_type nbRows = 0; + matrix_t reference = getReference ("cubic-b-spline-gradient.stdout"); + if (reference.size () == 0) { + throw std::runtime_error + ("failed to open file \"cubic-b-spline-gradient.stdout\""); + } + double tol = 1e-6; CubicBSpline::vector_t params (7); for (unsigned x = 0; x < 7; ++x) { - (*output) + std::cout << (boost::format ("set term wxt persist title 'Spline: base functions' %1% font ',5'") @@ -68,7 +100,6 @@ BOOST_AUTO_TEST_CASE (trajectory_cubic_b_spline_gradient) // Build a cubic spline of dimension 1 CubicBSpline spline (std::make_pair (0., 4.), 1, params); discreteInterval_t window (0., 4., 0.01); - std::cerr << spline << std::endl; // Loop over the order of derivation for (unsigned i = 0; i < 3; ++i) @@ -89,17 +120,19 @@ BOOST_AUTO_TEST_CASE (trajectory_cubic_b_spline_gradient) assert (0); } - (*output) << "plot '-' title '"<< title <<"' with line\n" + std::cout << "plot '-' title '"<< title <<"' with line\n" << std::endl; // Loop over the interval of definition for (double t = boost::get<0> (window); t < boost::get<1> (window); t += boost::get<2> (window)) { CubicBSpline::vector_t grad = spline.derivative (t, i); - (*output) << (boost::format ("%1.2f %2.4f\n") + std::cout << (boost::format ("%1.2f %2.4f\n") % normalize (t) % normalize (grad (0))).str (); - + BOOST_CHECK_SMALL (t - reference [nbRows][0], tol); + BOOST_CHECK_SMALL (grad (0) - reference [nbRows][1], tol); + ++nbRows; try { // Check gradient @@ -116,7 +149,7 @@ BOOST_AUTO_TEST_CASE (trajectory_cubic_b_spline_gradient) std::cerr << "t=" << t << ", spline=" << spline << std::endl; } } - (*output) << "e" << std::endl; + std::cout << "e" << std::endl; } // Loop over control points @@ -141,7 +174,7 @@ BOOST_AUTO_TEST_CASE (trajectory_cubic_b_spline_gradient) } title.append ((boost::format (" (%1%)") % j).str ()); - (*output) + std::cout << "plot '-' title '"<< title << "' with line\n" << std::endl; // Loop over the interval of definition @@ -150,19 +183,17 @@ BOOST_AUTO_TEST_CASE (trajectory_cubic_b_spline_gradient) { CubicBSpline::matrix_t jac = spline.variationDerivWrtParam (t, i); - (*output) << (boost::format ("%1.2f %2.4f\n") + std::cout << (boost::format ("%1.2f %2.4f\n") % normalize (t) % normalize (jac (0, j))).str (); + BOOST_CHECK_SMALL (t - reference [nbRows][0], tol); + BOOST_CHECK_SMALL (jac (0, j) - reference [nbRows][1], tol); + ++nbRows; } - (*output) << "e" << std::endl; + std::cout << "e" << std::endl; } - (*output) << "unset multiplot" << std::endl; + std::cout << "unset multiplot" << std::endl; } - - - std::cout << output->str () << std::endl; - - BOOST_CHECK (output->match_pattern ()); } BOOST_AUTO_TEST_SUITE_END () diff --git a/tests/cubic-b-spline-gradient.stdout b/tests/cubic-b-spline-gradient.stdout index 1497000..dec1aa3 100644 --- a/tests/cubic-b-spline-gradient.stdout +++ b/tests/cubic-b-spline-gradient.stdout @@ -1,67914 +1,67368 @@ -set term wxt persist title 'Spline: base functions' 0 font ',5' -set grid xtics noytics linewidth 0.5 -set xlabel 'time' -set ylabel 'spline value' -set multiplot layout 5,3 -plot '-' title 'spline' with line - -0.00 0.1667 -0.01 0.1617 -0.02 0.1569 -0.03 0.1521 -0.04 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