10ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Ceres Solver - A fast non-linear least squares minimizer
20ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Copyright 2010, 2011, 2012 Google Inc. All rights reserved.
30ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// http://code.google.com/p/ceres-solver/
40ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
50ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Redistribution and use in source and binary forms, with or without
60ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// modification, are permitted provided that the following conditions are met:
70ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
80ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// * Redistributions of source code must retain the above copyright notice,
90ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   this list of conditions and the following disclaimer.
100ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// * Redistributions in binary form must reproduce the above copyright notice,
110ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   this list of conditions and the following disclaimer in the documentation
120ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   and/or other materials provided with the distribution.
130ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// * Neither the name of Google Inc. nor the names of its contributors may be
140ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   used to endorse or promote products derived from this software without
150ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   specific prior written permission.
160ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
170ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
180ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
190ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
200ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
210ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
220ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
230ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
240ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
250ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
260ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
270ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// POSSIBILITY OF SUCH DAMAGE.
280ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
290ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Author: sameeragarwal@google.com (Sameer Agarwal)
300ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
310ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/autodiff_cost_function.h"
320ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
330ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include <cstddef>
340ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
350ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "gtest/gtest.h"
360ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/cost_function.h"
370ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
380ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongnamespace ceres {
390ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongnamespace internal {
400ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
410ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongclass BinaryScalarCost {
420ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong public:
430ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  explicit BinaryScalarCost(double a): a_(a) {}
440ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  template <typename T>
450ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  bool operator()(const T* const x, const T* const y,
460ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                  T* cost) const {
470ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    cost[0] = x[0] * y[0] + x[1] * y[1]  - T(a_);
480ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    return true;
490ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
500ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong private:
510ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  double a_;
520ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong};
530ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
540ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus KongTEST(AutodiffCostFunction, BilinearDifferentiationTest) {
550ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  CostFunction* cost_function  =
560ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    new AutoDiffCostFunction<BinaryScalarCost, 1, 2, 2>(
570ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong        new BinaryScalarCost(1.0));
580ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
590ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  double** parameters = new double*[2];
600ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  parameters[0] = new double[2];
610ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  parameters[1] = new double[2];
620ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
630ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  parameters[0][0] = 1;
640ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  parameters[0][1] = 2;
650ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
660ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  parameters[1][0] = 3;
670ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  parameters[1][1] = 4;
680ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
690ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  double** jacobians = new double*[2];
700ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  jacobians[0] = new double[2];
710ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  jacobians[1] = new double[2];
720ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
730ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  double residuals = 0.0;
740ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
750ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  cost_function->Evaluate(parameters, &residuals, NULL);
760ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  EXPECT_EQ(10.0, residuals);
770ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  cost_function->Evaluate(parameters, &residuals, jacobians);
780ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
790ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  EXPECT_EQ(3, jacobians[0][0]);
800ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  EXPECT_EQ(4, jacobians[0][1]);
810ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  EXPECT_EQ(1, jacobians[1][0]);
820ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  EXPECT_EQ(2, jacobians[1][1]);
830ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
840ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  delete[] jacobians[0];
850ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  delete[] jacobians[1];
860ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  delete[] parameters[0];
870ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  delete[] parameters[1];
880ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  delete[] jacobians;
890ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  delete[] parameters;
900ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  delete cost_function;
910ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}
920ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
930ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongstruct TenParameterCost {
940ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  template <typename T>
950ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  bool operator()(const T* const x0,
960ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                  const T* const x1,
970ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                  const T* const x2,
980ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                  const T* const x3,
990ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                  const T* const x4,
1000ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                  const T* const x5,
1010ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                  const T* const x6,
1020ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                  const T* const x7,
1030ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                  const T* const x8,
1040ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                  const T* const x9,
1050ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                  T* cost) const {
1060ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    cost[0] = *x0 + *x1 + *x2 + *x3 + *x4 + *x5 + *x6 + *x7 + *x8 + *x9;
1070ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    return true;
1080ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1090ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong};
1100ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1110ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus KongTEST(AutodiffCostFunction, ManyParameterAutodiffInstantiates) {
1120ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  CostFunction* cost_function  =
1130ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong      new AutoDiffCostFunction<
1140ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong          TenParameterCost, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1>(
1150ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong              new TenParameterCost);
1160ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1170ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  double** parameters = new double*[10];
1180ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  double** jacobians = new double*[10];
1190ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  for (int i = 0; i < 10; ++i) {
1200ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    parameters[i] = new double[1];
1210ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    parameters[i][0] = i;
1220ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    jacobians[i] = new double[1];
1230ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1240ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1250ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  double residuals = 0.0;
1260ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1270ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  cost_function->Evaluate(parameters, &residuals, NULL);
1280ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  EXPECT_EQ(45.0, residuals);
1290ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1300ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  cost_function->Evaluate(parameters, &residuals, jacobians);
1310ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  EXPECT_EQ(residuals, 45.0);
1320ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  for (int i = 0; i < 10; ++i) {
1330ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_EQ(1.0, jacobians[i][0]);
1340ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1350ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1360ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  for (int i = 0; i < 10; ++i) {
1370ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    delete[] jacobians[i];
1380ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    delete[] parameters[i];
1390ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1400ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  delete[] jacobians;
1410ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  delete[] parameters;
1420ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  delete cost_function;
1430ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}
1440ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1450ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}  // namespace internal
1460ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}  // namespace ceres
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