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1 // Ceres Solver - A fast non-linear least squares minimizer
2 // Copyright 2010, 2011, 2012 Google Inc. All rights reserved.
3 // http://code.google.com/p/ceres-solver/
4 //
5 // Redistribution and use in source and binary forms, with or without
6 // modification, are permitted provided that the following conditions are met:
7 //
8 // * Redistributions of source code must retain the above copyright notice,
9 //   this list of conditions and the following disclaimer.
10 // * Redistributions in binary form must reproduce the above copyright notice,
11 //   this list of conditions and the following disclaimer in the documentation
12 //   and/or other materials provided with the distribution.
13 // * Neither the name of Google Inc. nor the names of its contributors may be
14 //   used to endorse or promote products derived from this software without
15 //   specific prior written permission.
16 //
17 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
18 // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
19 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
20 // ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
21 // LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
22 // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
23 // SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
24 // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
25 // CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
26 // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
27 // POSSIBILITY OF SUCH DAMAGE.
28 //
29 // Author: keir@google.com (Keir Mierle)
30 //
31 // Utility functions useful for testing.
32 
33 #include <cmath>
34 #include "ceres/file.h"
35 #include "ceres/stringprintf.h"
36 #include "gflags/gflags.h"
37 #include "glog/logging.h"
38 #include "gtest/gtest.h"
39 
40 DECLARE_string(test_srcdir);
41 
42 // This macro is used to inject additional path information specific
43 // to the build system.
44 
45 #ifndef CERES_TEST_SRCDIR_SUFFIX
46 #define CERES_TEST_SRCDIR_SUFFIX ""
47 #endif
48 
49 namespace ceres {
50 namespace internal {
51 
ExpectClose(double x,double y,double max_abs_relative_difference)52 bool ExpectClose(double x, double y, double max_abs_relative_difference) {
53   double absolute_difference = fabs(x - y);
54   double relative_difference = absolute_difference / std::max(fabs(x), fabs(y));
55   if (x == 0 || y == 0) {
56     // If x or y is exactly zero, then relative difference doesn't have any
57     // meaning. Take the absolute difference instead.
58     relative_difference = absolute_difference;
59   }
60   if (relative_difference > max_abs_relative_difference) {
61     VLOG(1) << StringPrintf("x=%17g y=%17g abs=%17g rel=%17g",
62                             x, y, absolute_difference, relative_difference);
63   }
64 
65   EXPECT_NEAR(relative_difference, 0.0, max_abs_relative_difference);
66   return relative_difference <= max_abs_relative_difference;
67 }
68 
ExpectArraysCloseUptoScale(int n,const double * p,const double * q,double tol)69 void ExpectArraysCloseUptoScale(int n,
70                                 const double* p,
71                                 const double* q,
72                                 double tol) {
73   CHECK_GT(n, 0);
74   CHECK(p);
75   CHECK(q);
76 
77   double p_max = 0;
78   double q_max = 0;
79   int p_i = 0;
80   int q_i = 0;
81 
82   for (int i = 0; i < n; ++i) {
83     if (std::abs(p[i]) > p_max) {
84       p_max = std::abs(p[i]);
85       p_i = i;
86     }
87     if (std::abs(q[i]) > q_max) {
88       q_max = std::abs(q[i]);
89       q_i = i;
90     }
91   }
92 
93   // If both arrays are all zeros, they are equal up to scale, but
94   // for testing purposes, that's more likely to be an error than
95   // a desired result.
96   CHECK_NE(p_max, 0.0);
97   CHECK_NE(q_max, 0.0);
98 
99   for (int i = 0; i < n; ++i) {
100     double p_norm = p[i] / p[p_i];
101     double q_norm = q[i] / q[q_i];
102 
103     EXPECT_NEAR(p_norm, q_norm, tol) << "i=" << i;
104   }
105 }
106 
ExpectArraysClose(int n,const double * p,const double * q,double tol)107 void ExpectArraysClose(int n,
108                        const double* p,
109                        const double* q,
110                        double tol) {
111   CHECK_GT(n, 0);
112   CHECK(p);
113   CHECK(q);
114 
115   for (int i = 0; i < n; ++i) {
116     EXPECT_NEAR(p[i], q[i], tol) << "i=" << i;
117   }
118 }
119 
TestFileAbsolutePath(const string & filename)120 string TestFileAbsolutePath(const string& filename) {
121   return JoinPath(FLAGS_test_srcdir + CERES_TEST_SRCDIR_SUFFIX,
122                   filename);
123 }
124 
125 
126 }  // namespace internal
127 }  // namespace ceres
128