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Conception/drake-master/common/test/autodiffxd_max_test.cc

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/* clang-format off to disable clang-format-includes */
#include "drake/common/autodiff.h"
#include "drake/common/ad/test/standard_operations_test.h"
/* clang-format on */
namespace drake {
namespace test {
namespace {
TEST_F(AutoDiffXdTest, Max) {
CHECK_BINARY_FUNCTION_ADS_ADS(max, x, y, 0.5);
CHECK_BINARY_FUNCTION_ADS_ADS(max, x, y, -0.3);
CHECK_BINARY_FUNCTION_ADS_ADS(max, y, x, 0.4);
CHECK_BINARY_FUNCTION_ADS_ADS(max, y, x, -0.4);
}
TEST_F(AutoDiffXdTest, TieBreakingCheckMaxBothNonEmpty) {
// Given `max(v1, v2)`, our overload returns the first argument `v1` when
// `v1 == v2` holds if both `v1` and `v2` have non-empty derivatives. In
// Drake, we rely on this implementation-detail. This test checks if the
// property holds so that we can detect a possible change in future.
const AutoDiffXd v1{1.0, Vector1<double>(3.)};
const AutoDiffXd v2{1.0, Vector1<double>(2.)};
EXPECT_EQ(max(v1, v2).derivatives()[0], 3.0); // Returns v1, not v2.
}
TEST_F(AutoDiffXdTest, TieBreakingCheckMaxOneNonEmpty) {
// Given `max(v1, v2)`, our overload returns whichever argument has non-empty
// derivatives in the case where only one has non-empty derivatives. In
// Drake, we rely on this implementation-detail. This test checks if the
// property holds so that we can detect a possible change in future.
const AutoDiffXd v1{1.0};
const AutoDiffXd v2{1.0, Vector1<double>(2.)};
EXPECT_TRUE(CompareMatrices(min(v1, v2).derivatives(),
Vector1<double>(2.))); // Returns v2, not v1.
EXPECT_TRUE(CompareMatrices(min(v2, v1).derivatives(),
Vector1<double>(2.))); // Returns v2, not v1.
}
} // namespace
} // namespace test
} // namespace drake