11d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// Ceres Solver - A fast non-linear least squares minimizer
21d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// Copyright 2010, 2011, 2012 Google Inc. All rights reserved.
31d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// http://code.google.com/p/ceres-solver/
41d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//
51d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// Redistribution and use in source and binary forms, with or without
61d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// modification, are permitted provided that the following conditions are met:
71d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//
81d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// * Redistributions of source code must retain the above copyright notice,
91d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//   this list of conditions and the following disclaimer.
101d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// * Redistributions in binary form must reproduce the above copyright notice,
111d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//   this list of conditions and the following disclaimer in the documentation
121d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//   and/or other materials provided with the distribution.
131d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// * Neither the name of Google Inc. nor the names of its contributors may be
141d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//   used to endorse or promote products derived from this software without
151d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//   specific prior written permission.
161d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//
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181d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
191d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
201d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
211d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
221d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
231d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
241d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
251d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
261d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
271d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// POSSIBILITY OF SUCH DAMAGE.
281d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//
291d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// Author: keir@google.com (Keir Mierle)
301d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//
311d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// A simple example of using the Ceres minimizer.
321d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//
331d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// Minimize 0.5 (10 - x)^2 using jacobian matrix computed using
341d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// automatic differentiation.
351d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
361d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling#include "ceres/ceres.h"
371d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling#include "glog/logging.h"
381d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
391d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberlingusing ceres::AutoDiffCostFunction;
401d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberlingusing ceres::CostFunction;
411d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberlingusing ceres::Problem;
421d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberlingusing ceres::Solver;
431d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberlingusing ceres::Solve;
441d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
451d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// A templated cost functor that implements the residual r = 10 -
461d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// x. The method operator() is templated so that we can then use an
471d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// automatic differentiation wrapper around it to generate its
481d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// derivatives.
491d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberlingstruct CostFunctor {
501d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  template <typename T> bool operator()(const T* const x, T* residual) const {
511d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    residual[0] = T(10.0) - x[0];
521d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    return true;
531d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  }
541d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling};
551d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
561d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberlingint main(int argc, char** argv) {
571d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  google::InitGoogleLogging(argv[0]);
581d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
591d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  // The variable to solve for with its initial value. It will be
601d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  // mutated in place by the solver.
611d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  double x = 0.5;
621d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  const double initial_x = x;
631d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
641d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  // Build the problem.
651d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  Problem problem;
661d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
671d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  // Set up the only cost function (also known as residual). This uses
681d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  // auto-differentiation to obtain the derivative (jacobian).
691d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  CostFunction* cost_function =
701d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling      new AutoDiffCostFunction<CostFunctor, 1, 1>(new CostFunctor);
711d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  problem.AddResidualBlock(cost_function, NULL, &x);
721d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
731d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  // Run the solver!
741d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  Solver::Options options;
751d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  options.minimizer_progress_to_stdout = true;
761d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  Solver::Summary summary;
771d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  Solve(options, &problem, &summary);
781d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
791d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  std::cout << summary.BriefReport() << "\n";
801d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  std::cout << "x : " << initial_x
811d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling            << " -> " << x << "\n";
821d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  return 0;
831d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling}
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