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: keir@google.com (Keir Mierle)
300ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
310ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Utility functions useful for testing.
320ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
3379397c21138f54fcff6ec067b44b847f1f7e0e98Carlos Hernandez#include <algorithm>
340ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include <cmath>
350ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/file.h"
360ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/stringprintf.h"
370ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "gflags/gflags.h"
380ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "glog/logging.h"
390ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "gtest/gtest.h"
400ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
410ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus KongDECLARE_string(test_srcdir);
420ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
430ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// This macro is used to inject additional path information specific
440ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// to the build system.
450ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
460ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#ifndef CERES_TEST_SRCDIR_SUFFIX
470ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#define CERES_TEST_SRCDIR_SUFFIX ""
480ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#endif
490ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
500ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongnamespace ceres {
510ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongnamespace internal {
520ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
530ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongbool ExpectClose(double x, double y, double max_abs_relative_difference) {
540ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  double absolute_difference = fabs(x - y);
550ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  double relative_difference = absolute_difference / std::max(fabs(x), fabs(y));
560ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  if (x == 0 || y == 0) {
570ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    // If x or y is exactly zero, then relative difference doesn't have any
580ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    // meaning. Take the absolute difference instead.
590ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    relative_difference = absolute_difference;
600ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
610ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  if (relative_difference > max_abs_relative_difference) {
620ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    VLOG(1) << StringPrintf("x=%17g y=%17g abs=%17g rel=%17g",
630ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                            x, y, absolute_difference, relative_difference);
640ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
650ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
660ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  EXPECT_NEAR(relative_difference, 0.0, max_abs_relative_difference);
670ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  return relative_difference <= max_abs_relative_difference;
680ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}
690ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
700ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongvoid ExpectArraysCloseUptoScale(int n,
710ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                                const double* p,
720ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                                const double* q,
730ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                                double tol) {
740ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  CHECK_GT(n, 0);
750ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  CHECK(p);
760ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  CHECK(q);
770ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
780ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  double p_max = 0;
790ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  double q_max = 0;
800ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  int p_i = 0;
810ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  int q_i = 0;
820ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
830ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  for (int i = 0; i < n; ++i) {
840ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    if (std::abs(p[i]) > p_max) {
850ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong      p_max = std::abs(p[i]);
860ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong      p_i = i;
870ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    }
880ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    if (std::abs(q[i]) > q_max) {
890ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong      q_max = std::abs(q[i]);
900ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong      q_i = i;
910ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    }
920ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
930ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
940ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  // If both arrays are all zeros, they are equal up to scale, but
950ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  // for testing purposes, that's more likely to be an error than
960ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  // a desired result.
970ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  CHECK_NE(p_max, 0.0);
980ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  CHECK_NE(q_max, 0.0);
990ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1000ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  for (int i = 0; i < n; ++i) {
1010ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    double p_norm = p[i] / p[p_i];
1020ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    double q_norm = q[i] / q[q_i];
1030ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1040ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_NEAR(p_norm, q_norm, tol) << "i=" << i;
1050ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1060ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}
1070ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1080ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongvoid ExpectArraysClose(int n,
1090ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                       const double* p,
1100ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                       const double* q,
1110ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                       double tol) {
1120ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  CHECK_GT(n, 0);
1130ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  CHECK(p);
1140ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  CHECK(q);
1150ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1160ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  for (int i = 0; i < n; ++i) {
1170ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_NEAR(p[i], q[i], tol) << "i=" << i;
1180ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1190ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}
1200ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1210ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongstring TestFileAbsolutePath(const string& filename) {
1220ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  return JoinPath(FLAGS_test_srcdir + CERES_TEST_SRCDIR_SUFFIX,
1230ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                  filename);
1240ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}
1250ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1260ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1270ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}  // namespace internal
1280ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}  // namespace ceres
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