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+// Ceres Solver - A fast non-linear least squares minimizer
+// Copyright 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: sameeragarwal@google.com (Sameer Agarwal)
+
+#ifndef CERES_INTERNAL_TRUST_REGION_STRATEGY_H_
+#define CERES_INTERNAL_TRUST_REGION_STRATEGY_H_
+
+#include "ceres/types.h"
+
+namespace ceres {
+namespace internal {
+
+class LinearSolver;
+class SparseMatrix;
+
+// Interface for classes implementing various trust region strategies
+// for nonlinear least squares problems.
+//
+// The object is expected to maintain and update a trust region
+// radius, which it then uses to solve for the trust region step using
+// the jacobian matrix and residual vector.
+//
+// Here the term trust region radius is used loosely, as the strategy
+// is free to treat it as guidance and violate it as need be. e.g.,
+// the LevenbergMarquardtStrategy uses the inverse of the trust region
+// radius to scale the damping term, which controls the step size, but
+// does not set a hard limit on its size.
+class TrustRegionStrategy {
+public:
+ struct Options {
+ Options()
+ : trust_region_strategy_type(LEVENBERG_MARQUARDT),
+ initial_radius(1e4),
+ max_radius(1e32),
+ lm_min_diagonal(1e-6),
+ lm_max_diagonal(1e32),
+ dogleg_type(TRADITIONAL_DOGLEG) {
+ }
+
+ TrustRegionStrategyType trust_region_strategy_type;
+ // Linear solver used for actually solving the trust region step.
+ LinearSolver* linear_solver;
+ double initial_radius;
+ double max_radius;
+
+ // Minimum and maximum values of the diagonal damping matrix used
+ // by LevenbergMarquardtStrategy. The DoglegStrategy also uses
+ // these bounds to construct a regularizing diagonal to ensure
+ // that the Gauss-Newton step computation is of full rank.
+ double lm_min_diagonal;
+ double lm_max_diagonal;
+
+ // Further specify which dogleg method to use
+ DoglegType dogleg_type;
+ };
+
+ // Per solve options.
+ struct PerSolveOptions {
+ // Forcing sequence for inexact solves.
+ double eta;
+ };
+
+ struct Summary {
+ Summary()
+ : residual_norm(0.0),
+ num_iterations(-1),
+ termination_type(FAILURE) {
+ }
+
+ // If the trust region problem is,
+ //
+ // 1/2 x'Ax + b'x + c,
+ //
+ // then
+ //
+ // residual_norm = |Ax -b|
+ double residual_norm;
+
+ // Number of iterations used by the linear solver. If a linear
+ // solver was not called (e.g., DogLegStrategy after an
+ // unsuccessful step), then this would be zero.
+ int num_iterations;
+
+ // Status of the linear solver used to solve the Newton system.
+ LinearSolverTerminationType termination_type;
+ };
+
+ virtual ~TrustRegionStrategy();
+
+ // Use the current radius to solve for the trust region step.
+ virtual Summary ComputeStep(const PerSolveOptions& per_solve_options,
+ SparseMatrix* jacobian,
+ const double* residuals,
+ double* step) = 0;
+
+ // Inform the strategy that the current step has been accepted, and
+ // that the ratio of the decrease in the non-linear objective to the
+ // decrease in the trust region model is step_quality.
+ virtual void StepAccepted(double step_quality) = 0;
+
+ // Inform the strategy that the current step has been rejected, and
+ // that the ratio of the decrease in the non-linear objective to the
+ // decrease in the trust region model is step_quality.
+ virtual void StepRejected(double step_quality) = 0;
+
+ // Inform the strategy that the current step has been rejected
+ // because it was found to be numerically invalid.
+ // StepRejected/StepAccepted will not be called for this step, and
+ // the strategy is free to do what it wants with this information.
+ virtual void StepIsInvalid() = 0;
+
+ // Current trust region radius.
+ virtual double Radius() const = 0;
+
+ // Factory.
+ static TrustRegionStrategy* Create(const Options& options);
+};
+
+} // namespace internal
+} // namespace ceres
+
+#endif // CERES_INTERNAL_TRUST_REGION_STRATEGY_H_