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// ----------------------------------------------------------------------------
// - Open3D: www.open3d.org -
// ----------------------------------------------------------------------------
// Copyright (c) 2018-2024 www.open3d.org
// SPDX-License-Identifier: MIT
// ----------------------------------------------------------------------------
#include "open3d/core/ShapeUtil.h"
#include "tests/Tests.h"
namespace open3d {
namespace tests {
TEST(ShapeUtil, IsCompatibleBroadcastShape) {
// A 0-dim tensor is compatible with any shape.
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({}, {}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({}, {1}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({1}, {}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({}, {2}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({2}, {}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({}, {1, 1}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({1, 1}, {}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({}, {1, 2}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({1, 2}, {}));
// Dim with size 0 is compatible with dim with size 0 or 1.
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({0}, {0}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({0}, {1}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({1}, {0}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({2, 0}, {2, 1}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({2, 1}, {2, 0}));
EXPECT_FALSE(core::shape_util::IsCompatibleBroadcastShape({2, 0}, {2, 3}));
EXPECT_FALSE(core::shape_util::IsCompatibleBroadcastShape({2, 3}, {2, 0}));
// Regular cases.
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({1}, {1}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({1}, {2, 1}));
EXPECT_TRUE(core::shape_util::IsCompatibleBroadcastShape({2, 1}, {1}));
EXPECT_TRUE(
core::shape_util::IsCompatibleBroadcastShape({2, 1, 3}, {2, 5, 3}));
EXPECT_TRUE(
core::shape_util::IsCompatibleBroadcastShape({2, 5, 3}, {2, 1, 3}));
EXPECT_TRUE(
core::shape_util::IsCompatibleBroadcastShape({2, 1, 3}, {5, 3}));
EXPECT_TRUE(
core::shape_util::IsCompatibleBroadcastShape({5, 3}, {2, 1, 3}));
EXPECT_FALSE(
core::shape_util::IsCompatibleBroadcastShape({2, 4, 3}, {2, 5, 3}));
EXPECT_FALSE(
core::shape_util::IsCompatibleBroadcastShape({2, 5, 3}, {2, 4, 3}));
EXPECT_FALSE(
core::shape_util::IsCompatibleBroadcastShape({2, 4, 3}, {5, 3}));
EXPECT_FALSE(
core::shape_util::IsCompatibleBroadcastShape({5, 3}, {2, 4, 3}));
}
TEST(ShapeUtil, BroadcastedShape) {
// A 0-dim tensor can be brocasted to any shape.
EXPECT_EQ(core::shape_util::BroadcastedShape({}, {}), core::SizeVector({}));
EXPECT_EQ(core::shape_util::BroadcastedShape({}, {1}),
core::SizeVector({1}));
EXPECT_EQ(core::shape_util::BroadcastedShape({1}, {}),
core::SizeVector({1}));
EXPECT_EQ(core::shape_util::BroadcastedShape({}, {2}),
core::SizeVector({2}));
EXPECT_EQ(core::shape_util::BroadcastedShape({2}, {}),
core::SizeVector({2}));
EXPECT_EQ(core::shape_util::BroadcastedShape({}, {1, 1}),
core::SizeVector({1, 1}));
EXPECT_EQ(core::shape_util::BroadcastedShape({1, 1}, {}),
core::SizeVector({1, 1}));
EXPECT_EQ(core::shape_util::BroadcastedShape({}, {1, 2}),
core::SizeVector({1, 2}));
EXPECT_EQ(core::shape_util::BroadcastedShape({1, 2}, {}),
core::SizeVector({1, 2}));
// Dim with size 0 is compatible with dim with size 0 or 1. The brocasted
// size is 0.
EXPECT_EQ(core::shape_util::BroadcastedShape({0}, {0}),
core::SizeVector({0}));
EXPECT_EQ(core::shape_util::BroadcastedShape({0}, {1}),
core::SizeVector({0}));
EXPECT_EQ(core::shape_util::BroadcastedShape({1}, {0}),
core::SizeVector({0}));
EXPECT_EQ(core::shape_util::BroadcastedShape({2, 0}, {2, 1}),
core::SizeVector({2, 0}));
EXPECT_EQ(core::shape_util::BroadcastedShape({2, 1}, {2, 0}),
core::SizeVector({2, 0}));
EXPECT_THROW(core::shape_util::BroadcastedShape({2, 0}, {2, 3}),
std::runtime_error);
EXPECT_THROW(core::shape_util::BroadcastedShape({2, 3}, {2, 0}),
std::runtime_error);
// Regular cases.
EXPECT_EQ(core::shape_util::BroadcastedShape({1}, {1}),
core::SizeVector({1}));
EXPECT_EQ(core::shape_util::BroadcastedShape({1}, {2, 1}),
core::SizeVector({2, 1}));
EXPECT_EQ(core::shape_util::BroadcastedShape({2, 1}, {1}),
core::SizeVector({2, 1}));
EXPECT_EQ(core::shape_util::BroadcastedShape({2, 1, 3}, {2, 5, 3}),
core::SizeVector({2, 5, 3}));
EXPECT_EQ(core::shape_util::BroadcastedShape({2, 5, 3}, {2, 1, 3}),
core::SizeVector({2, 5, 3}));
EXPECT_EQ(core::shape_util::BroadcastedShape({2, 1, 3}, {5, 3}),
core::SizeVector({2, 5, 3}));
EXPECT_EQ(core::shape_util::BroadcastedShape({5, 3}, {2, 1, 3}),
core::SizeVector({2, 5, 3}));
EXPECT_THROW(core::shape_util::BroadcastedShape({2, 4, 3}, {2, 5, 3}),
std::runtime_error);
EXPECT_THROW(core::shape_util::BroadcastedShape({2, 5, 3}, {2, 4, 3}),
std::runtime_error);
EXPECT_THROW(core::shape_util::BroadcastedShape({2, 4, 3}, {5, 3}),
std::runtime_error);
EXPECT_THROW(core::shape_util::BroadcastedShape({5, 3}, {2, 4, 3}),
std::runtime_error);
}
TEST(ShapeUtil, CanBeBrocastedToShape) {
// A 0-dim tensor can be brocasted to any shape. Not commutative.
EXPECT_TRUE(core::shape_util::CanBeBrocastedToShape({}, {}));
EXPECT_TRUE(core::shape_util::CanBeBrocastedToShape({}, {1}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({1}, {}));
EXPECT_TRUE(core::shape_util::CanBeBrocastedToShape({}, {2}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({2}, {}));
EXPECT_TRUE(core::shape_util::CanBeBrocastedToShape({}, {1, 1}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({1, 1}, {}));
EXPECT_TRUE(core::shape_util::CanBeBrocastedToShape({}, {1, 2}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({1, 2}, {}));
// Dim with size 0 can only be brocasteded to 0.
// Only dim with size 0 or 1 can be brocasted to 0.
EXPECT_TRUE(core::shape_util::CanBeBrocastedToShape({0}, {0}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({0}, {1}));
EXPECT_TRUE(core::shape_util::CanBeBrocastedToShape({1}, {0}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({2, 0}, {2, 1}));
EXPECT_TRUE(core::shape_util::CanBeBrocastedToShape({2, 1}, {2, 0}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({2, 0}, {2, 3}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({2, 3}, {2, 0}));
// Regular cases. Not commutative.
EXPECT_TRUE(core::shape_util::CanBeBrocastedToShape({1}, {1}));
EXPECT_TRUE(core::shape_util::CanBeBrocastedToShape({1}, {2, 1}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({2, 1}, {1}));
EXPECT_TRUE(core::shape_util::CanBeBrocastedToShape({2, 1, 3}, {2, 5, 3}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({2, 5, 3}, {2, 1, 3}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({2, 1, 3}, {5, 3}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({5, 3}, {2, 1, 3}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({2, 4, 3}, {2, 5, 3}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({2, 5, 3}, {2, 4, 3}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({2, 4, 3}, {5, 3}));
EXPECT_FALSE(core::shape_util::CanBeBrocastedToShape({5, 3}, {2, 4, 3}));
}
TEST(ShapeUtil, ReductionShape) {
// Empty cases
EXPECT_EQ(core::shape_util::ReductionShape({}, {}, false),
core::SizeVector({}));
EXPECT_EQ(core::shape_util::ReductionShape({}, {}, true),
core::SizeVector({}));
// Out-of-range exception.
EXPECT_THROW(core::shape_util::ReductionShape({}, {1}, false),
std::runtime_error);
EXPECT_THROW(core::shape_util::ReductionShape({1}, {2}, false),
std::runtime_error);
EXPECT_THROW(core::shape_util::ReductionShape({}, {1}, true),
std::runtime_error);
EXPECT_THROW(core::shape_util::ReductionShape({1}, {2}, true),
std::runtime_error);
// Dimension with size 0 can be reduced to size 1.
EXPECT_EQ(core::shape_util::ReductionShape({2, 0}, {1}, false),
core::SizeVector({2}));
EXPECT_EQ(core::shape_util::ReductionShape({2, 0}, {1}, true),
core::SizeVector({2, 1}));
// Regular cases.
EXPECT_EQ(core::shape_util::ReductionShape({2, 3, 4}, {0, 2}, false),
core::SizeVector({3}));
EXPECT_EQ(core::shape_util::ReductionShape({2, 3, 4}, {0, 2}, true),
core::SizeVector({1, 3, 1}));
// Wrap-around is fine.
EXPECT_EQ(core::shape_util::ReductionShape({2, 3, 4}, {0, -1}, false),
core::SizeVector({3}));
EXPECT_EQ(core::shape_util::ReductionShape({2, 3, 4}, {0, -1}, true),
core::SizeVector({1, 3, 1}));
}
} // namespace tests
} // namespace open3d
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