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// Ceres Solver - A fast non-linear least squares minimizer
// Copyright 2015 Google Inc. All rights reserved.
// http://ceres-solver.org/
//
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// modification, are permitted provided that the following conditions are met:
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//
// Author: dgossow@google.com (David Gossow)
//
// This file contains tests for the IsClose function.
#include "ceres/is_close.h"
#include "gtest/gtest.h"
namespace ceres {
namespace internal {
const double kTolerance = 1e-9;
TEST(IsClose, BothParametersPositive) {
double relative_error = -1;
double absolute_error = -1;
// Test cases where both values are positive.
EXPECT_TRUE(IsClose(9.9, 10.0, 0.011, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 0.01, kTolerance);
EXPECT_NEAR(absolute_error, 0.1, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_TRUE(IsClose(10.0, 9.9, 0.011, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 0.01, kTolerance);
EXPECT_NEAR(absolute_error, 0.1, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_FALSE(IsClose(9.9, 10.0, 0.009, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 0.01, kTolerance);
EXPECT_NEAR(absolute_error, 0.1, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_FALSE(IsClose(10.0, 9.9, 0.009, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 0.01, kTolerance);
EXPECT_NEAR(absolute_error, 0.1, kTolerance);
}
TEST(IsClose, BothParametersNegative) {
double relative_error = -1;
double absolute_error = -1;
// Test cases where both values are negative.
EXPECT_TRUE(IsClose(-9.9, -10.0, 0.011, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 0.01, kTolerance);
EXPECT_NEAR(absolute_error, 0.1, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_TRUE(IsClose(-10.0, -9.9, 0.011, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 0.01, kTolerance);
EXPECT_NEAR(absolute_error, 0.1, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_FALSE(IsClose(-9.9, -10.0, 0.009, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 0.01, kTolerance);
EXPECT_NEAR(absolute_error, 0.1, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_FALSE(IsClose(-10.0, -9.9, 0.009, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 0.01, kTolerance);
EXPECT_NEAR(absolute_error, 0.1, kTolerance);
}
TEST(IsClose, ParametersHaveMixedSigns) {
double relative_error = -1;
double absolute_error = -1;
// Test cases with mixed signs.
EXPECT_FALSE(IsClose(-0.1, 0.1, 1.99, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 2.0, kTolerance);
EXPECT_NEAR(absolute_error, 0.2, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_TRUE(IsClose(-0.1, 0.1, 2.01, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 2.0, kTolerance);
EXPECT_NEAR(absolute_error, 0.2, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_FALSE(IsClose(0.1, -0.1, 1.99, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 2.0, kTolerance);
EXPECT_NEAR(absolute_error, 0.2, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_TRUE(IsClose(0.1, -0.1, 2.01, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 2.0, kTolerance);
EXPECT_NEAR(absolute_error, 0.2, kTolerance);
}
TEST(IsClose, OneParameterZero) {
double relative_error = -1;
double absolute_error = -1;
// Test cases where one of the values is zero.
EXPECT_TRUE(IsClose(0.0, 10.0, 10.1, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 10.0, kTolerance);
EXPECT_NEAR(absolute_error, 10.0, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_TRUE(IsClose(10.0, 0.0, 10.1, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 10.0, kTolerance);
EXPECT_NEAR(absolute_error, 10.0, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_TRUE(IsClose(0.0, -10.0, 10.1, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 10.0, kTolerance);
EXPECT_NEAR(absolute_error, 10.0, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_TRUE(IsClose(-10.0, 0.0, 10.1, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 10.0, kTolerance);
EXPECT_NEAR(absolute_error, 10.0, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_FALSE(IsClose(0, 10.0, 9.9, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 10.0, kTolerance);
EXPECT_NEAR(absolute_error, 10.0, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_FALSE(IsClose(10.0, 0.0, 9.9, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 10.0, kTolerance);
EXPECT_NEAR(absolute_error, 10.0, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_FALSE(IsClose(0, -10.0, 9.9, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 10.0, kTolerance);
EXPECT_NEAR(absolute_error, 10.0, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_FALSE(IsClose(-10.0, 0.0, 9.9, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 10.0, kTolerance);
EXPECT_NEAR(absolute_error, 10.0, kTolerance);
}
TEST(IsClose, BothParametersZero) {
double relative_error = -1;
double absolute_error = -1;
EXPECT_TRUE(IsClose(0.0, 0.0, 0.1, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 0.0, kTolerance);
EXPECT_NEAR(absolute_error, 0.0, kTolerance);
relative_error = -1;
absolute_error = -1;
EXPECT_FALSE(IsClose(0.0, 0.0, 0.0, &relative_error, &absolute_error));
EXPECT_NEAR(relative_error, 0.0, kTolerance);
EXPECT_NEAR(absolute_error, 0.0, kTolerance);
}
} // namespace internal
} // namespace ceres