349 lines
12 KiB
C++
349 lines
12 KiB
C++
/*
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* Copyright (c) 2019, 2024, Oracle and/or its affiliates. All rights reserved.
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* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
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*
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* This code is free software; you can redistribute it and/or modify it
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* under the terms of the GNU General Public License version 2 only, as
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* published by the Free Software Foundation.
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*
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* This code is distributed in the hope that it will be useful, but WITHOUT
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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* version 2 for more details (a copy is included in the LICENSE file that
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* accompanied this code).
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*
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* You should have received a copy of the GNU General Public License version
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* 2 along with this work; if not, write to the Free Software Foundation,
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* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
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*
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* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
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* or visit www.oracle.com if you need additional information or have any
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* questions.
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*/
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#include "precompiled.hpp"
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#include "utilities/globalDefinitions.hpp"
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#include "utilities/powerOfTwo.hpp"
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#include "unittest.hpp"
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#include <limits>
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#include <type_traits>
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struct StaticTestIsPowerOf2Result {
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uint64_t _value;
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int _status; // 0: success, > 0 indicates which failure case
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constexpr StaticTestIsPowerOf2Result(uint64_t value, int status) :
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_value(value), _status(status) {}
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};
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// Structure copied from test_is_power_of_2 runtime test (below).
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template<typename T>
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static constexpr StaticTestIsPowerOf2Result static_test_is_power_of_2_aux(T v) {
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using Result = StaticTestIsPowerOf2Result;
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for ( ; v > 0; v >>= 1) {
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if (!is_power_of_2(v)) {
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return Result(v, 1);
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} else if ((v > 2) && is_power_of_2(T(v - 1))) {
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return Result(v, 2);
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} else if ((v > 1) && is_power_of_2(T(v + 1))) {
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return Result(v, 3);
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}
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}
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return Result(v, 0);
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}
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template<typename T>
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static void static_test_is_power_of_2() {
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constexpr StaticTestIsPowerOf2Result result
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= static_test_is_power_of_2_aux(max_power_of_2<T>());
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EXPECT_EQ(0, result._status)
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<< "value = " << result._value << ", status = " << result._status;
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}
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template <typename T> static void test_is_power_of_2() {
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EXPECT_FALSE(is_power_of_2(T(0)));
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EXPECT_FALSE(is_power_of_2(~T(0)));
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static_assert(!is_power_of_2(T(0)), "");
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static_assert(!is_power_of_2(~T(0)), "");
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// Should be false regardless of whether T is signed or unsigned.
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EXPECT_FALSE(is_power_of_2(std::numeric_limits<T>::min()));
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static_assert(!is_power_of_2(std::numeric_limits<T>::min()), "");
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// Test true
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for (T i = max_power_of_2<T>(); i > 0; i = (i >> 1)) {
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EXPECT_TRUE(is_power_of_2(i)) << "value = " << T(i);
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}
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// Test one less
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for (T i = max_power_of_2<T>(); i > 2; i = (i >> 1)) {
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EXPECT_FALSE(is_power_of_2(i - 1)) << "value = " << T(i - 1);
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}
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// Test one more
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for (T i = max_power_of_2<T>(); i > 1; i = (i >> 1)) {
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EXPECT_FALSE(is_power_of_2(i + 1)) << "value = " << T(i + 1);
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}
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static_test_is_power_of_2<T>();
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}
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TEST(power_of_2, is_power_of_2) {
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test_is_power_of_2<int8_t>();
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test_is_power_of_2<int16_t>();
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test_is_power_of_2<int32_t>();
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test_is_power_of_2<int64_t>();
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test_is_power_of_2<int8_t>();
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test_is_power_of_2<int16_t>();
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test_is_power_of_2<int32_t>();
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test_is_power_of_2<int64_t>();
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test_is_power_of_2<jint>();
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test_is_power_of_2<jlong>();
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}
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TEST(power_of_2, exact_log2) {
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{
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uintptr_t j = 1;
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#ifdef _LP64
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for (int i = 0; i < 64; i++, j <<= 1) {
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#else
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for (int i = 0; i < 32; i++, j <<= 1) {
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#endif
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EXPECT_EQ(i, exact_log2(j));
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}
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}
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{
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julong j = 1;
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for (int i = 0; i < 64; i++, j <<= 1) {
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EXPECT_EQ(i, exact_log2_long(j));
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}
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}
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}
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template <typename T> void round_up_power_of_2() {
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EXPECT_EQ(round_up_power_of_2(T(1)), T(1)) << "value = " << T(1);
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EXPECT_EQ(round_up_power_of_2(T(2)), T(2)) << "value = " << T(2);
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EXPECT_EQ(round_up_power_of_2(T(3)), T(4)) << "value = " << T(3);
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EXPECT_EQ(round_up_power_of_2(T(4)), T(4)) << "value = " << T(4);
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EXPECT_EQ(round_up_power_of_2(T(5)), T(8)) << "value = " << T(5);
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EXPECT_EQ(round_up_power_of_2(T(6)), T(8)) << "value = " << T(6);
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EXPECT_EQ(round_up_power_of_2(T(7)), T(8)) << "value = " << T(7);
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EXPECT_EQ(round_up_power_of_2(T(8)), T(8)) << "value = " << T(8);
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EXPECT_EQ(round_up_power_of_2(T(9)), T(16)) << "value = " << T(9);
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EXPECT_EQ(round_up_power_of_2(T(10)), T(16)) << "value = " << T(10);
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T t_max_pow2 = max_power_of_2<T>();
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// round_up(any power of two) should return input
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for (T pow2 = T(1); pow2 < t_max_pow2; pow2 *= 2) {
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EXPECT_EQ(pow2, round_up_power_of_2(pow2))
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<< "value = " << pow2;
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}
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EXPECT_EQ(round_up_power_of_2(t_max_pow2), t_max_pow2)
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<< "value = " << (t_max_pow2);
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// For each pow2 gt 2, round_up(pow2 - 1) should return pow2
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for (T pow2 = T(4); pow2 < t_max_pow2; pow2 *= 2) {
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EXPECT_EQ(pow2, round_up_power_of_2(pow2 - 1))
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<< "value = " << pow2;
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}
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EXPECT_EQ(round_up_power_of_2(t_max_pow2 - 1), t_max_pow2)
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<< "value = " << (t_max_pow2 - 1);
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}
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TEST(power_of_2, round_up_power_of_2) {
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round_up_power_of_2<int8_t>();
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round_up_power_of_2<int16_t>();
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round_up_power_of_2<int32_t>();
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round_up_power_of_2<int64_t>();
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round_up_power_of_2<uint8_t>();
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round_up_power_of_2<uint16_t>();
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round_up_power_of_2<uint32_t>();
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round_up_power_of_2<uint64_t>();
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}
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template <typename T> void round_down_power_of_2() {
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EXPECT_EQ(round_down_power_of_2(T(1)), T(1)) << "value = " << T(1);
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EXPECT_EQ(round_down_power_of_2(T(2)), T(2)) << "value = " << T(2);
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EXPECT_EQ(round_down_power_of_2(T(3)), T(2)) << "value = " << T(3);
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EXPECT_EQ(round_down_power_of_2(T(4)), T(4)) << "value = " << T(4);
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EXPECT_EQ(round_down_power_of_2(T(5)), T(4)) << "value = " << T(5);
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EXPECT_EQ(round_down_power_of_2(T(6)), T(4)) << "value = " << T(6);
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EXPECT_EQ(round_down_power_of_2(T(7)), T(4)) << "value = " << T(7);
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EXPECT_EQ(round_down_power_of_2(T(8)), T(8)) << "value = " << T(8);
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EXPECT_EQ(round_down_power_of_2(T(9)), T(8)) << "value = " << T(9);
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EXPECT_EQ(round_down_power_of_2(T(10)), T(8)) << "value = " << T(10);
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T t_max_pow2 = max_power_of_2<T>();
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// For each pow2 >= 2:
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// - round_down(pow2) should return pow2
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// - round_down(pow2 + 1) should return pow2
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// - round_down(pow2 - 1) should return pow2 / 2
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for (T pow2 = T(2); pow2 < t_max_pow2; pow2 = pow2 * 2) {
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EXPECT_EQ(pow2, round_down_power_of_2(pow2))
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<< "value = " << pow2;
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EXPECT_EQ(pow2, round_down_power_of_2(pow2 + 1))
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<< "value = " << pow2;
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EXPECT_EQ(pow2 / 2, round_down_power_of_2(pow2 - 1))
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<< "value = " << (pow2 / 2);
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}
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EXPECT_EQ(round_down_power_of_2(t_max_pow2), t_max_pow2)
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<< "value = " << (t_max_pow2);
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EXPECT_EQ(round_down_power_of_2(t_max_pow2 + 1), t_max_pow2)
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<< "value = " << (t_max_pow2 + 1);
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EXPECT_EQ(round_down_power_of_2(t_max_pow2 - 1), t_max_pow2 / 2)
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<< "value = " << (t_max_pow2 - 1);
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}
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TEST(power_of_2, round_down_power_of_2) {
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round_down_power_of_2<int8_t>();
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round_down_power_of_2<int16_t>();
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round_down_power_of_2<int32_t>();
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round_down_power_of_2<int64_t>();
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round_down_power_of_2<uint8_t>();
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round_down_power_of_2<uint16_t>();
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round_down_power_of_2<uint32_t>();
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round_down_power_of_2<uint64_t>();
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}
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template <typename T> void next_power_of_2() {
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EXPECT_EQ(next_power_of_2(T(0)), T(1)) << "value = " << T(0);
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EXPECT_EQ(next_power_of_2(T(1)), T(2)) << "value = " << T(1);
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EXPECT_EQ(next_power_of_2(T(2)), T(4)) << "value = " << T(2);
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EXPECT_EQ(next_power_of_2(T(3)), T(4)) << "value = " << T(3);
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EXPECT_EQ(next_power_of_2(T(4)), T(8)) << "value = " << T(4);
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EXPECT_EQ(next_power_of_2(T(5)), T(8)) << "value = " << T(5);
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EXPECT_EQ(next_power_of_2(T(6)), T(8)) << "value = " << T(6);
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EXPECT_EQ(next_power_of_2(T(7)), T(8)) << "value = " << T(7);
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EXPECT_EQ(next_power_of_2(T(8)), T(16)) << "value = " << T(8);
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EXPECT_EQ(next_power_of_2(T(9)), T(16)) << "value = " << T(9);
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EXPECT_EQ(next_power_of_2(T(10)), T(16)) << "value = " << T(10);
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T t_max_pow2 = max_power_of_2<T>();
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// next(pow2 - 1) should return pow2
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for (T pow2 = T(1); pow2 < t_max_pow2; pow2 = pow2 * 2) {
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EXPECT_EQ(pow2, next_power_of_2(pow2 - 1))
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<< "value = " << pow2 - 1;
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}
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EXPECT_EQ(next_power_of_2(t_max_pow2 - 1), t_max_pow2)
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<< "value = " << (t_max_pow2 - 1);
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// next(pow2) should return pow2 * 2
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for (T pow2 = T(1); pow2 < t_max_pow2 / 2; pow2 = pow2 * 2) {
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EXPECT_EQ(pow2 * 2, next_power_of_2(pow2))
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<< "value = " << pow2;
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}
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}
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TEST(power_of_2, next_power_of_2) {
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next_power_of_2<int8_t>();
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next_power_of_2<int16_t>();
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next_power_of_2<int32_t>();
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next_power_of_2<int64_t>();
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next_power_of_2<uint8_t>();
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next_power_of_2<uint16_t>();
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next_power_of_2<uint32_t>();
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next_power_of_2<uint64_t>();
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}
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TEST(power_of_2, max) {
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EXPECT_EQ(max_power_of_2<int8_t>(), 0x40);
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EXPECT_EQ(max_power_of_2<int16_t>(), 0x4000);
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EXPECT_EQ(max_power_of_2<int32_t>(), 0x40000000);
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EXPECT_EQ(max_power_of_2<int64_t>(), CONST64(0x4000000000000000));
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EXPECT_EQ(max_power_of_2<uint8_t>(), 0x80u);
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EXPECT_EQ(max_power_of_2<uint16_t>(), 0x8000u);
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EXPECT_EQ(max_power_of_2<uint32_t>(), 0x80000000u);
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EXPECT_EQ(max_power_of_2<uint64_t>(), UCONST64(0x8000000000000000));
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}
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template <typename T, ENABLE_IF(std::is_integral<T>::value)>
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void check_log2i_variants_for(T dummy) {
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int limit = sizeof(T) * BitsPerByte;
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if (std::is_signed<T>::value) {
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T min = std::numeric_limits<T>::min();
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EXPECT_EQ(limit - 1, log2i_graceful(min));
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EXPECT_EQ(limit - 1, log2i_graceful((T)-1));
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limit--;
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}
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{
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// Test log2i_graceful handles 0 input
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EXPECT_EQ(-1, log2i_graceful(T(0)));
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}
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{
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// Test the all-1s bit patterns
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T var = 1;
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for (int i = 0; i < limit; i++, var = (var << 1) | 1) {
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EXPECT_EQ(i, log2i(var));
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}
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}
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{
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// Test the powers of 2 and powers + 1
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T var = 1;
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for (int i = 0; i < limit; i++, var <<= 1) {
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EXPECT_EQ(i, log2i(var));
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EXPECT_EQ(i, log2i_graceful(var));
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EXPECT_EQ(i, log2i_exact(var));
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EXPECT_EQ(i, log2i(var | 1));
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}
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}
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}
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TEST(power_of_2, log2i) {
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check_log2i_variants_for((uintptr_t)0);
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check_log2i_variants_for((intptr_t)0);
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check_log2i_variants_for((julong)0);
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check_log2i_variants_for((int)0);
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check_log2i_variants_for((jint)0);
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check_log2i_variants_for((uint)0);
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check_log2i_variants_for((jlong)0);
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}
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template <typename T> void test_ceil_log2() {
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EXPECT_EQ(ceil_log2(T(1)), 0) << "value = " << T(1);
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EXPECT_EQ(ceil_log2(T(2)), 1) << "value = " << T(2);
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EXPECT_EQ(ceil_log2(T(3)), 2) << "value = " << T(3);
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EXPECT_EQ(ceil_log2(T(4)), 2) << "value = " << T(4);
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EXPECT_EQ(ceil_log2(T(5)), 3) << "value = " << T(5);
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EXPECT_EQ(ceil_log2(T(6)), 3) << "value = " << T(6);
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EXPECT_EQ(ceil_log2(T(7)), 3) << "value = " << T(7);
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EXPECT_EQ(ceil_log2(T(8)), 3) << "value = " << T(8);
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EXPECT_EQ(ceil_log2(T(9)), 4) << "value = " << T(9);
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EXPECT_EQ(ceil_log2(T(10)), 4) << "value = " << T(10);
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// Test max values
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if (std::is_unsigned<T>::value) {
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EXPECT_EQ(ceil_log2(std::numeric_limits<T>::max()),
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(int)(sizeof(T) * 8)) << "value = " << std::numeric_limits<T>::max();
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} else {
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EXPECT_EQ(ceil_log2(std::numeric_limits<T>::max()),
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(int)(sizeof(T) * 8 - 1)) << "value = " << std::numeric_limits<T>::max();
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}
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}
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TEST(power_of_2, ceil_log2) {
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test_ceil_log2<int8_t>();
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test_ceil_log2<int16_t>();
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test_ceil_log2<int32_t>();
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test_ceil_log2<int64_t>();
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test_ceil_log2<uint8_t>();
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test_ceil_log2<uint16_t>();
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test_ceil_log2<uint32_t>();
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test_ceil_log2<uint64_t>();
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}
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#ifdef ASSERT
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TEST_VM_ASSERT_MSG(power_of_2, ceil_log2_invalid,
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".*Invalid value") {
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ceil_log2(0);
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}
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#endif // ASSERT
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