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-// Ceres Solver - A fast non-linear least squares minimizer
-// Copyright 2010, 2011, 2012 Google Inc. All rights reserved.
-// http://code.google.com/p/ceres-solver/
-//
-// 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: keir@google.com (Keir Mierle)
-//
-// Based on the templated version in public/numeric_diff_cost_function.h.
-
-#include "ceres/runtime_numeric_diff_cost_function.h"
-
-#include <algorithm>
-#include <numeric>
-#include <vector>
-#include "Eigen/Dense"
-#include "ceres/cost_function.h"
-#include "ceres/internal/scoped_ptr.h"
-#include "glog/logging.h"
-
-namespace ceres {
-namespace internal {
-namespace {
-
-bool EvaluateJacobianForParameterBlock(const CostFunction* function,
- int parameter_block_size,
- int parameter_block,
- RuntimeNumericDiffMethod method,
- double relative_step_size,
- double const* residuals_at_eval_point,
- double** parameters,
- double** jacobians) {
- using Eigen::Map;
- using Eigen::Matrix;
- using Eigen::Dynamic;
- using Eigen::RowMajor;
-
- typedef Matrix<double, Dynamic, 1> ResidualVector;
- typedef Matrix<double, Dynamic, 1> ParameterVector;
- typedef Matrix<double, Dynamic, Dynamic, RowMajor> JacobianMatrix;
-
- int num_residuals = function->num_residuals();
-
- Map<JacobianMatrix> parameter_jacobian(jacobians[parameter_block],
- num_residuals,
- parameter_block_size);
-
- // Mutate one element at a time and then restore.
- Map<ParameterVector> x_plus_delta(parameters[parameter_block],
- parameter_block_size);
- ParameterVector x(x_plus_delta);
- ParameterVector step_size = x.array().abs() * relative_step_size;
-
- // To handle cases where a paremeter is exactly zero, instead use the mean
- // step_size for the other dimensions.
- double fallback_step_size = step_size.sum() / step_size.rows();
- if (fallback_step_size == 0.0) {
- // If all the parameters are zero, there's no good answer. Use the given
- // relative step_size as absolute step_size and hope for the best.
- fallback_step_size = relative_step_size;
- }
-
- // For each parameter in the parameter block, use finite differences to
- // compute the derivative for that parameter.
- for (int j = 0; j < parameter_block_size; ++j) {
- if (step_size(j) == 0.0) {
- // The parameter is exactly zero, so compromise and use the mean step_size
- // from the other parameters. This can break in many cases, but it's hard
- // to pick a good number without problem specific knowledge.
- step_size(j) = fallback_step_size;
- }
- x_plus_delta(j) = x(j) + step_size(j);
-
- ResidualVector residuals(num_residuals);
- if (!function->Evaluate(parameters, &residuals[0], NULL)) {
- // Something went wrong; bail.
- return false;
- }
-
- // Compute this column of the jacobian in 3 steps:
- // 1. Store residuals for the forward part.
- // 2. Subtract residuals for the backward (or 0) part.
- // 3. Divide out the run.
- parameter_jacobian.col(j) = residuals;
-
- double one_over_h = 1 / step_size(j);
- if (method == CENTRAL) {
- // Compute the function on the other side of x(j).
- x_plus_delta(j) = x(j) - step_size(j);
-
- if (!function->Evaluate(parameters, &residuals[0], NULL)) {
- // Something went wrong; bail.
- return false;
- }
- parameter_jacobian.col(j) -= residuals;
- one_over_h /= 2;
- } else {
- // Forward difference only; reuse existing residuals evaluation.
- parameter_jacobian.col(j) -=
- Map<const ResidualVector>(residuals_at_eval_point, num_residuals);
- }
- x_plus_delta(j) = x(j); // Restore x_plus_delta.
-
- // Divide out the run to get slope.
- parameter_jacobian.col(j) *= one_over_h;
- }
- return true;
-}
-
-class RuntimeNumericDiffCostFunction : public CostFunction {
- public:
- RuntimeNumericDiffCostFunction(const CostFunction* function,
- RuntimeNumericDiffMethod method,
- double relative_step_size)
- : function_(function),
- method_(method),
- relative_step_size_(relative_step_size) {
- *mutable_parameter_block_sizes() = function->parameter_block_sizes();
- set_num_residuals(function->num_residuals());
- }
-
- virtual ~RuntimeNumericDiffCostFunction() { }
-
- virtual bool Evaluate(double const* const* parameters,
- double* residuals,
- double** jacobians) const {
- // Get the function value (residuals) at the the point to evaluate.
- bool success = function_->Evaluate(parameters, residuals, NULL);
- if (!success) {
- // Something went wrong; ignore the jacobian.
- return false;
- }
- if (!jacobians) {
- // Nothing to do; just forward.
- return true;
- }
-
- const vector<int16>& block_sizes = function_->parameter_block_sizes();
- CHECK(!block_sizes.empty());
-
- // Create local space for a copy of the parameters which will get mutated.
- int parameters_size = accumulate(block_sizes.begin(), block_sizes.end(), 0);
- vector<double> parameters_copy(parameters_size);
- vector<double*> parameters_references_copy(block_sizes.size());
- parameters_references_copy[0] = &parameters_copy[0];
- for (int block = 1; block < block_sizes.size(); ++block) {
- parameters_references_copy[block] = parameters_references_copy[block - 1]
- + block_sizes[block - 1];
- }
-
- // Copy the parameters into the local temp space.
- for (int block = 0; block < block_sizes.size(); ++block) {
- memcpy(parameters_references_copy[block],
- parameters[block],
- block_sizes[block] * sizeof(*parameters[block]));
- }
-
- for (int block = 0; block < block_sizes.size(); ++block) {
- if (!jacobians[block]) {
- // No jacobian requested for this parameter / residual pair.
- continue;
- }
- if (!EvaluateJacobianForParameterBlock(function_,
- block_sizes[block],
- block,
- method_,
- relative_step_size_,
- residuals,
- &parameters_references_copy[0],
- jacobians)) {
- return false;
- }
- }
- return true;
- }
-
- private:
- const CostFunction* function_;
- RuntimeNumericDiffMethod method_;
- double relative_step_size_;
-};
-
-} // namespace
-
-CostFunction* CreateRuntimeNumericDiffCostFunction(
- const CostFunction* cost_function,
- RuntimeNumericDiffMethod method,
- double relative_step_size) {
- return new RuntimeNumericDiffCostFunction(cost_function,
- method,
- relative_step_size);
-}
-
-} // namespace internal
-} // namespace ceres