Tiny solver autodiff adapter

Change-Id: I29fe736d53b2be32a101ba128cf557726def9a00
diff --git a/include/ceres/internal/autodiff.h b/include/ceres/internal/autodiff.h
index bf5fb77..21f3b92 100644
--- a/include/ceres/internal/autodiff.h
+++ b/include/ceres/internal/autodiff.h
@@ -200,7 +200,7 @@
 
 // This is in a struct because default template parameters on a
 // function are not supported in C++03 (though it is available in
-// C++0x). N0 through N5 are the dimension of the input arguments to
+// C++0x). N0 through N9 are the dimension of the input arguments to
 // the user supplied functor.
 template <typename Functor, typename T,
           int N0 = 0, int N1 = 0, int N2 = 0, int N3 = 0, int N4 = 0,
diff --git a/include/ceres/tiny_solver_autodiff_function.h b/include/ceres/tiny_solver_autodiff_function.h
new file mode 100644
index 0000000..0e91142
--- /dev/null
+++ b/include/ceres/tiny_solver_autodiff_function.h
@@ -0,0 +1,143 @@
+// Ceres Solver - A fast non-linear least squares minimizer
+// Copyright 2017 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: mierle@gmail.com (Keir Mierle)
+//
+// WARNING WARNING WARNING
+// WARNING WARNING WARNING  Tiny solver is experimental and will change.
+// WARNING WARNING WARNING
+
+#ifndef CERES_PUBLIC_TINY_SOLVER_AUTODIFF_FUNCTION_H_
+#define CERES_PUBLIC_TINY_SOLVER_AUTODIFF_FUNCTION_H_
+
+#include <Eigen/Core>
+
+#include "ceres/jet.h"
+#include "ceres/types.h"  // For kImpossibleValue.
+
+namespace ceres {
+
+// An adapter around autodiff-style CostFunctors to enable easier use of
+// TinySolver. See the example below showing how to use it:
+//
+//   // Same as an autodiff cost functor, but taking only 1 parameter.
+//   struct MyFunctor {
+//     template<typename T>
+//     bool operator()(const T* const parameters, T* residuals) const {
+//       const T& x = parameters[0];
+//       const T& y = parameters[1];
+//       const T& z = parameters[2];
+//       residuals[0] = x + 2.*y + 4.*z;
+//       residuals[1] = y * z;
+//       return true;
+//     }
+//   };
+//
+//   typedef TinySolverAutoDiffFunction<MyFunctor, 2, 3>
+//       AutoDiffFunction;
+//
+//   MyFunctor my_functor;
+//   AutoDiffFunction f(my_functor);
+//
+//   Vec3 x = ...;
+//   TinySolver<AutoDiffFunction> solver;
+//   solver.Solve(f, &x);
+//
+// WARNING: The cost function adapter is not thread safe.
+template<typename CostFunctor,
+         int kNumResiduals,
+         int kNumParameters,
+         typename T = double>
+class TinySolverAutoDiffFunction {
+ public:
+   TinySolverAutoDiffFunction(const CostFunctor& cost_functor)
+     : cost_functor_(cost_functor) {}
+
+  typedef T Scalar;
+  enum {
+    NUM_PARAMETERS = kNumParameters,
+    NUM_RESIDUALS = kNumResiduals,
+  };
+
+  // This is similar to AutoDiff::Differentiate(), but since there is only one
+  // parameter block it is easier to inline to avoid overhead.
+  bool operator()(const T* parameters,
+                  T* residuals,
+                  T* jacobian) const {
+    if (jacobian == NULL) {
+      // No jacobian requested, so just directly call the cost function with
+      // doubles, skipping jets and derivatives.
+      return cost_functor_(parameters, residuals);
+    }
+    // Initialize the input jets with passed parameters.
+    for (int i = 0; i < kNumParameters; ++i) {
+      jet_parameters_[i].a = parameters[i];  // Scalar part.
+      jet_parameters_[i].v.setZero();        // Derivative part.
+      jet_parameters_[i].v[i] = T(1.0);
+    }
+
+    // Initialize the output jets such that we can detect user errors.
+    for (int i = 0; i < kNumResiduals; ++i) {
+      jet_residuals_[i].a = kImpossibleValue;
+      jet_residuals_[i].v.setConstant(kImpossibleValue);
+    }
+
+    // Execute the cost function, but with jets to find the derivative.
+    if (!cost_functor_(jet_parameters_, jet_residuals_)) {
+      return false;
+    }
+
+    // Copy the jacobian out of the derivative part of the residual jets.
+    Eigen::Map<Eigen::Matrix<T,
+                             kNumResiduals,
+                             kNumParameters> > jacobian_matrix(jacobian);
+    for (int r = 0; r < kNumResiduals; ++r) {
+      residuals[r] = jet_residuals_[r].a;
+      // Note that while this looks like a fast vectorized write, in practice it
+      // unfortunately thrashes the cache since the writes to the column-major
+      // jacobian are strided (e.g. rows are non-contiguous).
+      jacobian_matrix.row(r) = jet_residuals_[r].v;
+    }
+    return true;
+  }
+
+ private:
+  const CostFunctor& cost_functor_;
+
+  // To evaluate the cost function with jets, temporary storage is needed. These
+  // are the buffers that are used during evaluation; parameters for the input,
+  // and jet_residuals_ are where the final cost and derivatives end up.
+  //
+  // Since this buffer is used for evaluation, the adapter is not thread safe.
+  mutable Jet<T, kNumParameters> jet_parameters_[kNumParameters];
+  mutable Jet<T, kNumParameters> jet_residuals_[kNumResiduals];
+};
+
+}  // namespace ceres
+
+#endif  // CERES_PUBLIC_TINY_SOLVER_AUTODIFF_FUNCTION_H_
diff --git a/internal/ceres/CMakeLists.txt b/internal/ceres/CMakeLists.txt
index e78de48..829a383 100644
--- a/internal/ceres/CMakeLists.txt
+++ b/internal/ceres/CMakeLists.txt
@@ -359,6 +359,7 @@
   ceres_test(sparse_normal_cholesky_solver)
   ceres_test(system)
   ceres_test(tiny_solver)
+  ceres_test(tiny_solver_autodiff_function)
   ceres_test(tiny_solver_cost_function_adapter)
   ceres_test(triplet_sparse_matrix)
   ceres_test(trust_region_minimizer)
diff --git a/internal/ceres/tiny_solver_autodiff_function_test.cc b/internal/ceres/tiny_solver_autodiff_function_test.cc
new file mode 100644
index 0000000..de4f953
--- /dev/null
+++ b/internal/ceres/tiny_solver_autodiff_function_test.cc
@@ -0,0 +1,98 @@
+
+// Ceres Solver - A fast non-linear least squares minimizer
+// Copyright 2017 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: mierle@gmail.com (Keir Mierle)
+
+#include "ceres/tiny_solver_autodiff_function.h"
+
+#include <algorithm>
+#include <cmath>
+#include <limits>
+
+#include "gtest/gtest.h"
+
+namespace ceres {
+
+typedef Eigen::Matrix<double, 2, 1> Vec2;
+typedef Eigen::Matrix<double, 3, 1> Vec3;
+
+struct AutoDiffTestFunctor {
+  template<typename T>
+  bool operator()(const T* const parameters, T* residuals) const {
+    // Shift the parameters so the solution is not at the origin, to prevent
+    // accidentally showing "PASS".
+    const T& a = parameters[0] - T(1.0);
+    const T& b = parameters[1] - T(2.0);
+    const T& c = parameters[2] - T(3.0);
+    residuals[0] = 2.*a + 0.*b + 1.*c;
+    residuals[1] = 0.*a + 4.*b + 6.*c;
+    return true;
+  }
+};
+
+// Leave a factor of 10 slop since these tests tend to mysteriously break on
+// other compilers or architectures if the tolerance is too tight.
+static double const kTolerance = std::numeric_limits<double>::epsilon() * 10;
+
+TEST(TinySolverAutoDiffFunction, SimpleFunction) {
+  typedef TinySolverAutoDiffFunction<AutoDiffTestFunctor, 2, 3>
+      AutoDiffTestFunction;
+  AutoDiffTestFunctor autodiff_test_functor;
+  AutoDiffTestFunction f(autodiff_test_functor);
+
+  Vec3 x(2.0, 1.0, 4.0);
+  Vec2 residuals;
+
+  // Check the case with cost-only evaluation.
+  residuals.setConstant(555);  // Arbitrary.
+  EXPECT_TRUE(f(&x(0), &residuals(0), NULL));
+  EXPECT_NEAR(3.0, residuals(0), kTolerance);
+  EXPECT_NEAR(2.0, residuals(1), kTolerance);
+
+  // Check the case with cost and Jacobian evaluation.
+  Eigen::Matrix<double, 2, 3> jacobian;
+  residuals.setConstant(555);  // Arbitrary.
+  jacobian.setConstant(555);
+  EXPECT_TRUE(f(&x(0), &residuals(0), &jacobian(0, 0)));
+
+  // Verify cost.
+  EXPECT_NEAR(3.0, residuals(0), kTolerance);
+  EXPECT_NEAR(2.0, residuals(1), kTolerance);
+
+  // Verify Jacobian Row 1.
+  EXPECT_NEAR(2.0, jacobian(0, 0), kTolerance);
+  EXPECT_NEAR(0.0, jacobian(0, 1), kTolerance);
+  EXPECT_NEAR(1.0, jacobian(0, 2), kTolerance);
+
+  // Verify Jacobian row 2.
+  EXPECT_NEAR(0.0, jacobian(1, 0), kTolerance);
+  EXPECT_NEAR(4.0, jacobian(1, 1), kTolerance);
+  EXPECT_NEAR(6.0, jacobian(1, 2), kTolerance);
+}
+}  // namespace tinysolver