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 //
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6 // modification, are permitted provided that the following conditions are met:
7 //
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9 //   this list of conditions and the following disclaimer.
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11 //   this list of conditions and the following disclaimer in the documentation
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16 //
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28 //
29 // Author: keir@google.com (Keir Mierle)
30 //
31 // Utility functions useful for testing.
32 
33 #include <algorithm>
34 #include <cmath>
35 #include "ceres/file.h"
36 #include "ceres/stringprintf.h"
37 #include "gflags/gflags.h"
38 #include "glog/logging.h"
39 #include "gtest/gtest.h"
40 
41 DECLARE_string(test_srcdir);
42 
43 // This macro is used to inject additional path information specific
44 // to the build system.
45 
46 #ifndef CERES_TEST_SRCDIR_SUFFIX
47 #define CERES_TEST_SRCDIR_SUFFIX ""
48 #endif
49 
50 namespace ceres {
51 namespace internal {
52 
ExpectClose(double x,double y,double max_abs_relative_difference)53 bool ExpectClose(double x, double y, double max_abs_relative_difference) {
54   double absolute_difference = fabs(x - y);
55   double relative_difference = absolute_difference / std::max(fabs(x), fabs(y));
56   if (x == 0 || y == 0) {
57     // If x or y is exactly zero, then relative difference doesn't have any
58     // meaning. Take the absolute difference instead.
59     relative_difference = absolute_difference;
60   }
61   if (relative_difference > max_abs_relative_difference) {
62     VLOG(1) << StringPrintf("x=%17g y=%17g abs=%17g rel=%17g",
63                             x, y, absolute_difference, relative_difference);
64   }
65 
66   EXPECT_NEAR(relative_difference, 0.0, max_abs_relative_difference);
67   return relative_difference <= max_abs_relative_difference;
68 }
69 
ExpectArraysCloseUptoScale(int n,const double * p,const double * q,double tol)70 void ExpectArraysCloseUptoScale(int n,
71                                 const double* p,
72                                 const double* q,
73                                 double tol) {
74   CHECK_GT(n, 0);
75   CHECK(p);
76   CHECK(q);
77 
78   double p_max = 0;
79   double q_max = 0;
80   int p_i = 0;
81   int q_i = 0;
82 
83   for (int i = 0; i < n; ++i) {
84     if (std::abs(p[i]) > p_max) {
85       p_max = std::abs(p[i]);
86       p_i = i;
87     }
88     if (std::abs(q[i]) > q_max) {
89       q_max = std::abs(q[i]);
90       q_i = i;
91     }
92   }
93 
94   // If both arrays are all zeros, they are equal up to scale, but
95   // for testing purposes, that's more likely to be an error than
96   // a desired result.
97   CHECK_NE(p_max, 0.0);
98   CHECK_NE(q_max, 0.0);
99 
100   for (int i = 0; i < n; ++i) {
101     double p_norm = p[i] / p[p_i];
102     double q_norm = q[i] / q[q_i];
103 
104     EXPECT_NEAR(p_norm, q_norm, tol) << "i=" << i;
105   }
106 }
107 
ExpectArraysClose(int n,const double * p,const double * q,double tol)108 void ExpectArraysClose(int n,
109                        const double* p,
110                        const double* q,
111                        double tol) {
112   CHECK_GT(n, 0);
113   CHECK(p);
114   CHECK(q);
115 
116   for (int i = 0; i < n; ++i) {
117     EXPECT_NEAR(p[i], q[i], tol) << "i=" << i;
118   }
119 }
120 
TestFileAbsolutePath(const string & filename)121 string TestFileAbsolutePath(const string& filename) {
122   return JoinPath(FLAGS_test_srcdir + CERES_TEST_SRCDIR_SUFFIX,
123                   filename);
124 }
125 
126 
127 }  // namespace internal
128 }  // namespace ceres
129