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- // Ceres Solver - A fast non-linear least squares minimizer
- // Copyright 2023 Google Inc. All rights reserved.
- // http://ceres-solver.org/
- //
- // Redistribution and use in source and binary forms, with or without
- // modification, are permitted provided that the following conditions are met:
- //
- // * Redistributions of source code must retain the above copyright notice,
- // this list of conditions and the following disclaimer.
- // * Redistributions in binary form must reproduce the above copyright notice,
- // this list of conditions and the following disclaimer in the documentation
- // and/or other materials provided with the distribution.
- // * Neither the name of Google Inc. nor the names of its contributors may be
- // used to endorse or promote products derived from this software without
- // specific prior written permission.
- //
- // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- // ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- // LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- // SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- // CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- // POSSIBILITY OF SUCH DAMAGE.
- //
- // Author: sameeragarwal@google.com (Sameer Agarwal)
- //
- // A simple example of optimizing a sampled function by using cubic
- // interpolation.
- #include "ceres/ceres.h"
- #include "ceres/cubic_interpolation.h"
- #include "glog/logging.h"
- using Interpolator = ceres::CubicInterpolator<ceres::Grid1D<double>>;
- // A simple cost functor that interfaces an interpolated table of
- // values with automatic differentiation.
- struct InterpolatedCostFunctor {
- explicit InterpolatedCostFunctor(const Interpolator& interpolator)
- : interpolator(interpolator) {}
- template <typename T>
- bool operator()(const T* x, T* residuals) const {
- interpolator.Evaluate(*x, residuals);
- return true;
- }
- static ceres::CostFunction* Create(const Interpolator& interpolator) {
- return new ceres::AutoDiffCostFunction<InterpolatedCostFunctor, 1, 1>(
- new InterpolatedCostFunctor(interpolator));
- }
- private:
- const Interpolator& interpolator;
- };
- int main(int argc, char** argv) {
- google::InitGoogleLogging(argv[0]);
- // Evaluate the function f(x) = (x - 4.5)^2;
- const int kNumSamples = 10;
- double values[kNumSamples];
- for (int i = 0; i < kNumSamples; ++i) {
- values[i] = (i - 4.5) * (i - 4.5);
- }
- ceres::Grid1D<double> array(values, 0, kNumSamples);
- Interpolator interpolator(array);
- double x = 1.0;
- ceres::Problem problem;
- ceres::CostFunction* cost_function =
- InterpolatedCostFunctor::Create(interpolator);
- problem.AddResidualBlock(cost_function, nullptr, &x);
- ceres::Solver::Options options;
- options.minimizer_progress_to_stdout = true;
- ceres::Solver::Summary summary;
- ceres::Solve(options, &problem, &summary);
- std::cout << summary.BriefReport() << "\n";
- std::cout << "Expected x: 4.5. Actual x : " << x << std::endl;
- return 0;
- }
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