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-rw-r--r--abseil-cpp/absl/numeric/BUILD.bazel60
-rw-r--r--abseil-cpp/absl/numeric/CMakeLists.txt45
-rw-r--r--abseil-cpp/absl/numeric/bits.h177
-rw-r--r--abseil-cpp/absl/numeric/bits_benchmark.cc73
-rw-r--r--abseil-cpp/absl/numeric/bits_test.cc641
-rw-r--r--abseil-cpp/absl/numeric/int128.cc59
-rw-r--r--abseil-cpp/absl/numeric/int128.h282
-rw-r--r--abseil-cpp/absl/numeric/int128_have_intrinsic.inc43
-rw-r--r--abseil-cpp/absl/numeric/int128_no_intrinsic.inc160
-rw-r--r--abseil-cpp/absl/numeric/int128_stream_test.cc57
-rw-r--r--abseil-cpp/absl/numeric/int128_test.cc64
-rw-r--r--abseil-cpp/absl/numeric/internal/bits.h358
-rw-r--r--abseil-cpp/absl/numeric/internal/representation.h55
13 files changed, 1813 insertions, 261 deletions
diff --git a/abseil-cpp/absl/numeric/BUILD.bazel b/abseil-cpp/absl/numeric/BUILD.bazel
index f808f5d..c5aaf72 100644
--- a/abseil-cpp/absl/numeric/BUILD.bazel
+++ b/abseil-cpp/absl/numeric/BUILD.bazel
@@ -12,7 +12,6 @@
# See the License for the specific language governing permissions and
# limitations under the License.
-load("@rules_cc//cc:defs.bzl", "cc_library", "cc_test")
load(
"//absl:copts/configure_copts.bzl",
"ABSL_DEFAULT_COPTS",
@@ -25,6 +24,49 @@ package(default_visibility = ["//visibility:public"])
licenses(["notice"])
cc_library(
+ name = "bits",
+ hdrs = [
+ "bits.h",
+ "internal/bits.h",
+ ],
+ copts = ABSL_DEFAULT_COPTS,
+ linkopts = ABSL_DEFAULT_LINKOPTS,
+ deps = [
+ "//absl/base:config",
+ "//absl/base:core_headers",
+ ],
+)
+
+cc_binary(
+ name = "bits_benchmark",
+ testonly = 1,
+ srcs = ["bits_benchmark.cc"],
+ copts = ABSL_DEFAULT_COPTS,
+ linkopts = ABSL_DEFAULT_LINKOPTS,
+ deps = [
+ ":bits",
+ "//absl/base:core_headers",
+ "//absl/random",
+ "@com_github_google_benchmark//:benchmark_main",
+ ],
+)
+
+cc_test(
+ name = "bits_test",
+ size = "small",
+ srcs = [
+ "bits_test.cc",
+ ],
+ copts = ABSL_TEST_COPTS,
+ linkopts = ABSL_DEFAULT_LINKOPTS,
+ deps = [
+ ":bits",
+ "//absl/random",
+ "@com_google_googletest//:gtest_main",
+ ],
+)
+
+cc_library(
name = "int128",
srcs = [
"int128.cc",
@@ -35,7 +77,7 @@ cc_library(
copts = ABSL_DEFAULT_COPTS,
linkopts = ABSL_DEFAULT_LINKOPTS,
deps = [
- "//absl/base:bits",
+ ":bits",
"//absl/base:config",
"//absl/base:core_headers",
],
@@ -53,9 +95,9 @@ cc_test(
deps = [
":int128",
"//absl/base",
- "//absl/base:core_headers",
"//absl/hash:hash_testing",
"//absl/meta:type_traits",
+ "//absl/strings",
"@com_google_googletest//:gtest_main",
],
)
@@ -72,3 +114,15 @@ cc_test(
"@com_github_google_benchmark//:benchmark_main",
],
)
+
+cc_library(
+ name = "representation",
+ hdrs = [
+ "internal/representation.h",
+ ],
+ copts = ABSL_DEFAULT_COPTS,
+ linkopts = ABSL_DEFAULT_LINKOPTS,
+ deps = [
+ "//absl/base:config",
+ ],
+)
diff --git a/abseil-cpp/absl/numeric/CMakeLists.txt b/abseil-cpp/absl/numeric/CMakeLists.txt
index 1e12d80..7181b91 100644
--- a/abseil-cpp/absl/numeric/CMakeLists.txt
+++ b/abseil-cpp/absl/numeric/CMakeLists.txt
@@ -16,6 +16,33 @@
absl_cc_library(
NAME
+ bits
+ HDRS
+ "bits.h"
+ "internal/bits.h"
+ COPTS
+ ${ABSL_DEFAULT_COPTS}
+ DEPS
+ absl::core_headers
+ PUBLIC
+)
+
+absl_cc_test(
+ NAME
+ bits_test
+ SRCS
+ "bits_test.cc"
+ COPTS
+ ${ABSL_TEST_COPTS}
+ DEPS
+ absl::bits
+ absl::core_headers
+ absl::random_random
+ GTest::gmock_main
+)
+
+absl_cc_library(
+ NAME
int128
HDRS
"int128.h"
@@ -26,9 +53,9 @@ absl_cc_library(
COPTS
${ABSL_DEFAULT_COPTS}
DEPS
- absl::bits
absl::config
absl::core_headers
+ absl::bits
PUBLIC
)
@@ -43,10 +70,10 @@ absl_cc_test(
DEPS
absl::int128
absl::base
- absl::core_headers
absl::hash_testing
absl::type_traits
- gmock_main
+ absl::strings
+ GTest::gmock_main
)
# component target
@@ -59,3 +86,15 @@ absl_cc_library(
absl::int128
PUBLIC
)
+
+absl_cc_library(
+ NAME
+ numeric_representation
+ HDRS
+ "internal/representation.h"
+ COPTS
+ ${ABSL_DEFAULT_COPTS}
+ DEPS
+ absl::config
+ PUBLIC
+)
diff --git a/abseil-cpp/absl/numeric/bits.h b/abseil-cpp/absl/numeric/bits.h
new file mode 100644
index 0000000..5ed36f5
--- /dev/null
+++ b/abseil-cpp/absl/numeric/bits.h
@@ -0,0 +1,177 @@
+// Copyright 2020 The Abseil Authors
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// https://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+//
+// -----------------------------------------------------------------------------
+// File: bits.h
+// -----------------------------------------------------------------------------
+//
+// This file contains implementations of C++20's bitwise math functions, as
+// defined by:
+//
+// P0553R4:
+// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2019/p0553r4.html
+// P0556R3:
+// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2018/p0556r3.html
+// P1355R2:
+// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2019/p1355r2.html
+// P1956R1:
+// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2020/p1956r1.pdf
+//
+// When using a standard library that implements these functions, we use the
+// standard library's implementation.
+
+#ifndef ABSL_NUMERIC_BITS_H_
+#define ABSL_NUMERIC_BITS_H_
+
+#include <cstdint>
+#include <limits>
+#include <type_traits>
+
+#include "absl/base/config.h"
+
+#if ABSL_INTERNAL_CPLUSPLUS_LANG >= 202002L
+#include <bit>
+#endif
+
+#include "absl/base/attributes.h"
+#include "absl/numeric/internal/bits.h"
+
+namespace absl {
+ABSL_NAMESPACE_BEGIN
+#if !(defined(__cpp_lib_bitops) && __cpp_lib_bitops >= 201907L)
+
+// rotating
+template <class T>
+ABSL_MUST_USE_RESULT constexpr
+ typename std::enable_if<std::is_unsigned<T>::value, T>::type
+ rotl(T x, int s) noexcept {
+ return numeric_internal::RotateLeft(x, s);
+}
+
+template <class T>
+ABSL_MUST_USE_RESULT constexpr
+ typename std::enable_if<std::is_unsigned<T>::value, T>::type
+ rotr(T x, int s) noexcept {
+ return numeric_internal::RotateRight(x, s);
+}
+
+// Counting functions
+//
+// While these functions are typically constexpr, on some platforms, they may
+// not be marked as constexpr due to constraints of the compiler/available
+// intrinsics.
+template <class T>
+ABSL_INTERNAL_CONSTEXPR_CLZ inline
+ typename std::enable_if<std::is_unsigned<T>::value, int>::type
+ countl_zero(T x) noexcept {
+ return numeric_internal::CountLeadingZeroes(x);
+}
+
+template <class T>
+ABSL_INTERNAL_CONSTEXPR_CLZ inline
+ typename std::enable_if<std::is_unsigned<T>::value, int>::type
+ countl_one(T x) noexcept {
+ // Avoid integer promotion to a wider type
+ return countl_zero(static_cast<T>(~x));
+}
+
+template <class T>
+ABSL_INTERNAL_CONSTEXPR_CTZ inline
+ typename std::enable_if<std::is_unsigned<T>::value, int>::type
+ countr_zero(T x) noexcept {
+ return numeric_internal::CountTrailingZeroes(x);
+}
+
+template <class T>
+ABSL_INTERNAL_CONSTEXPR_CTZ inline
+ typename std::enable_if<std::is_unsigned<T>::value, int>::type
+ countr_one(T x) noexcept {
+ // Avoid integer promotion to a wider type
+ return countr_zero(static_cast<T>(~x));
+}
+
+template <class T>
+ABSL_INTERNAL_CONSTEXPR_POPCOUNT inline
+ typename std::enable_if<std::is_unsigned<T>::value, int>::type
+ popcount(T x) noexcept {
+ return numeric_internal::Popcount(x);
+}
+#else // defined(__cpp_lib_bitops) && __cpp_lib_bitops >= 201907L
+
+using std::countl_one;
+using std::countl_zero;
+using std::countr_one;
+using std::countr_zero;
+using std::popcount;
+using std::rotl;
+using std::rotr;
+
+#endif
+
+#if !(defined(__cpp_lib_int_pow2) && __cpp_lib_int_pow2 >= 202002L)
+// Returns: true if x is an integral power of two; false otherwise.
+template <class T>
+constexpr inline typename std::enable_if<std::is_unsigned<T>::value, bool>::type
+has_single_bit(T x) noexcept {
+ return x != 0 && (x & (x - 1)) == 0;
+}
+
+// Returns: If x == 0, 0; otherwise one plus the base-2 logarithm of x, with any
+// fractional part discarded.
+template <class T>
+ABSL_INTERNAL_CONSTEXPR_CLZ inline
+ typename std::enable_if<std::is_unsigned<T>::value, int>::type
+ bit_width(T x) noexcept {
+ return std::numeric_limits<T>::digits - countl_zero(x);
+}
+
+// Returns: If x == 0, 0; otherwise the maximal value y such that
+// has_single_bit(y) is true and y <= x.
+template <class T>
+ABSL_INTERNAL_CONSTEXPR_CLZ inline
+ typename std::enable_if<std::is_unsigned<T>::value, T>::type
+ bit_floor(T x) noexcept {
+ return x == 0 ? 0 : T{1} << (bit_width(x) - 1);
+}
+
+// Returns: N, where N is the smallest power of 2 greater than or equal to x.
+//
+// Preconditions: N is representable as a value of type T.
+template <class T>
+ABSL_INTERNAL_CONSTEXPR_CLZ inline
+ typename std::enable_if<std::is_unsigned<T>::value, T>::type
+ bit_ceil(T x) {
+ // If T is narrower than unsigned, T{1} << bit_width will be promoted. We
+ // want to force it to wraparound so that bit_ceil of an invalid value are not
+ // core constant expressions.
+ //
+ // BitCeilNonPowerOf2 triggers an overflow in constexpr contexts if we would
+ // undergo promotion to unsigned but not fit the result into T without
+ // truncation.
+ return has_single_bit(x) ? T{1} << (bit_width(x) - 1)
+ : numeric_internal::BitCeilNonPowerOf2(x);
+}
+#else // defined(__cpp_lib_int_pow2) && __cpp_lib_int_pow2 >= 202002L
+
+using std::bit_ceil;
+using std::bit_floor;
+using std::bit_width;
+using std::has_single_bit;
+
+#endif
+
+ABSL_NAMESPACE_END
+} // namespace absl
+
+#endif // ABSL_NUMERIC_BITS_H_
diff --git a/abseil-cpp/absl/numeric/bits_benchmark.cc b/abseil-cpp/absl/numeric/bits_benchmark.cc
new file mode 100644
index 0000000..2c89afd
--- /dev/null
+++ b/abseil-cpp/absl/numeric/bits_benchmark.cc
@@ -0,0 +1,73 @@
+// Copyright 2022 The Abseil Authors
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// https://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include <cstdint>
+#include <vector>
+
+#include "benchmark/benchmark.h"
+#include "absl/base/optimization.h"
+#include "absl/numeric/bits.h"
+#include "absl/random/random.h"
+
+namespace absl {
+namespace {
+
+template <typename T>
+static void BM_bit_width(benchmark::State& state) {
+ const auto count = static_cast<size_t>(state.range(0));
+
+ absl::BitGen rng;
+ std::vector<T> values;
+ values.reserve(count);
+ for (size_t i = 0; i < count; ++i) {
+ values.push_back(absl::Uniform<T>(rng, 0, std::numeric_limits<T>::max()));
+ }
+
+ while (state.KeepRunningBatch(static_cast<int64_t>(count))) {
+ for (size_t i = 0; i < count; ++i) {
+ benchmark::DoNotOptimize(absl::bit_width(values[i]));
+ }
+ }
+}
+BENCHMARK_TEMPLATE(BM_bit_width, uint8_t)->Range(1, 1 << 20);
+BENCHMARK_TEMPLATE(BM_bit_width, uint16_t)->Range(1, 1 << 20);
+BENCHMARK_TEMPLATE(BM_bit_width, uint32_t)->Range(1, 1 << 20);
+BENCHMARK_TEMPLATE(BM_bit_width, uint64_t)->Range(1, 1 << 20);
+
+template <typename T>
+static void BM_bit_width_nonzero(benchmark::State& state) {
+ const auto count = static_cast<size_t>(state.range(0));
+
+ absl::BitGen rng;
+ std::vector<T> values;
+ values.reserve(count);
+ for (size_t i = 0; i < count; ++i) {
+ values.push_back(absl::Uniform<T>(rng, 1, std::numeric_limits<T>::max()));
+ }
+
+ while (state.KeepRunningBatch(static_cast<int64_t>(count))) {
+ for (size_t i = 0; i < count; ++i) {
+ const T value = values[i];
+ ABSL_ASSUME(value > 0);
+ benchmark::DoNotOptimize(absl::bit_width(value));
+ }
+ }
+}
+BENCHMARK_TEMPLATE(BM_bit_width_nonzero, uint8_t)->Range(1, 1 << 20);
+BENCHMARK_TEMPLATE(BM_bit_width_nonzero, uint16_t)->Range(1, 1 << 20);
+BENCHMARK_TEMPLATE(BM_bit_width_nonzero, uint32_t)->Range(1, 1 << 20);
+BENCHMARK_TEMPLATE(BM_bit_width_nonzero, uint64_t)->Range(1, 1 << 20);
+
+} // namespace
+} // namespace absl
diff --git a/abseil-cpp/absl/numeric/bits_test.cc b/abseil-cpp/absl/numeric/bits_test.cc
new file mode 100644
index 0000000..14955eb
--- /dev/null
+++ b/abseil-cpp/absl/numeric/bits_test.cc
@@ -0,0 +1,641 @@
+// Copyright 2020 The Abseil Authors
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// https://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include "absl/numeric/bits.h"
+
+#include <limits>
+#include <type_traits>
+
+#include "gmock/gmock.h"
+#include "gtest/gtest.h"
+#include "absl/random/random.h"
+
+namespace absl {
+ABSL_NAMESPACE_BEGIN
+namespace {
+
+template <typename IntT>
+class IntegerTypesTest : public ::testing::Test {};
+
+using OneByteIntegerTypes = ::testing::Types<
+ unsigned char,
+ uint8_t
+ >;
+
+TYPED_TEST_SUITE(IntegerTypesTest, OneByteIntegerTypes);
+
+TYPED_TEST(IntegerTypesTest, HandlesTypes) {
+ using UIntType = TypeParam;
+
+ EXPECT_EQ(rotl(UIntType{0x12}, 0), uint8_t{0x12});
+ EXPECT_EQ(rotr(UIntType{0x12}, -4), uint8_t{0x21});
+ static_assert(rotl(UIntType{0x12}, 0) == uint8_t{0x12}, "");
+
+ static_assert(rotr(UIntType{0x12}, 0) == uint8_t{0x12}, "");
+ EXPECT_EQ(rotr(UIntType{0x12}, 0), uint8_t{0x12});
+
+#if ABSL_INTERNAL_HAS_CONSTEXPR_CLZ
+ static_assert(countl_zero(UIntType{}) == 8, "");
+ static_assert(countl_zero(static_cast<UIntType>(-1)) == 0, "");
+
+ static_assert(countl_one(UIntType{}) == 0, "");
+ static_assert(countl_one(static_cast<UIntType>(-1)) == 8, "");
+
+ static_assert(countr_zero(UIntType{}) == 8, "");
+ static_assert(countr_zero(static_cast<UIntType>(-1)) == 0, "");
+
+ static_assert(countr_one(UIntType{}) == 0, "");
+ static_assert(countr_one(static_cast<UIntType>(-1)) == 8, "");
+
+ static_assert(popcount(UIntType{}) == 0, "");
+ static_assert(popcount(UIntType{1}) == 1, "");
+ static_assert(popcount(static_cast<UIntType>(-1)) == 8, "");
+
+ static_assert(bit_width(UIntType{}) == 0, "");
+ static_assert(bit_width(UIntType{1}) == 1, "");
+ static_assert(bit_width(UIntType{3}) == 2, "");
+ static_assert(bit_width(static_cast<UIntType>(-1)) == 8, "");
+#endif
+
+ EXPECT_EQ(countl_zero(UIntType{}), 8);
+ EXPECT_EQ(countl_zero(static_cast<UIntType>(-1)), 0);
+
+ EXPECT_EQ(countl_one(UIntType{}), 0);
+ EXPECT_EQ(countl_one(static_cast<UIntType>(-1)), 8);
+
+ EXPECT_EQ(countr_zero(UIntType{}), 8);
+ EXPECT_EQ(countr_zero(static_cast<UIntType>(-1)), 0);
+
+ EXPECT_EQ(countr_one(UIntType{}), 0);
+ EXPECT_EQ(countr_one(static_cast<UIntType>(-1)), 8);
+
+ EXPECT_EQ(popcount(UIntType{}), 0);
+ EXPECT_EQ(popcount(UIntType{1}), 1);
+
+ EXPECT_FALSE(has_single_bit(UIntType{}));
+ EXPECT_FALSE(has_single_bit(static_cast<UIntType>(-1)));
+
+ EXPECT_EQ(bit_width(UIntType{}), 0);
+ EXPECT_EQ(bit_width(UIntType{1}), 1);
+ EXPECT_EQ(bit_width(UIntType{3}), 2);
+ EXPECT_EQ(bit_width(static_cast<UIntType>(-1)), 8);
+}
+
+TEST(Rotate, Left) {
+ static_assert(rotl(uint8_t{0x12}, 0) == uint8_t{0x12}, "");
+ static_assert(rotl(uint16_t{0x1234}, 0) == uint16_t{0x1234}, "");
+ static_assert(rotl(uint32_t{0x12345678UL}, 0) == uint32_t{0x12345678UL}, "");
+ static_assert(rotl(uint64_t{0x12345678ABCDEF01ULL}, 0) ==
+ uint64_t{0x12345678ABCDEF01ULL},
+ "");
+
+ EXPECT_EQ(rotl(uint8_t{0x12}, 0), uint8_t{0x12});
+ EXPECT_EQ(rotl(uint16_t{0x1234}, 0), uint16_t{0x1234});
+ EXPECT_EQ(rotl(uint32_t{0x12345678UL}, 0), uint32_t{0x12345678UL});
+ EXPECT_EQ(rotl(uint64_t{0x12345678ABCDEF01ULL}, 0),
+ uint64_t{0x12345678ABCDEF01ULL});
+
+ EXPECT_EQ(rotl(uint8_t{0x12}, 8), uint8_t{0x12});
+ EXPECT_EQ(rotl(uint16_t{0x1234}, 16), uint16_t{0x1234});
+ EXPECT_EQ(rotl(uint32_t{0x12345678UL}, 32), uint32_t{0x12345678UL});
+ EXPECT_EQ(rotl(uint64_t{0x12345678ABCDEF01ULL}, 64),
+ uint64_t{0x12345678ABCDEF01ULL});
+
+ EXPECT_EQ(rotl(uint8_t{0x12}, -8), uint8_t{0x12});
+ EXPECT_EQ(rotl(uint16_t{0x1234}, -16), uint16_t{0x1234});
+ EXPECT_EQ(rotl(uint32_t{0x12345678UL}, -32), uint32_t{0x12345678UL});
+ EXPECT_EQ(rotl(uint64_t{0x12345678ABCDEF01ULL}, -64),
+ uint64_t{0x12345678ABCDEF01ULL});
+
+ EXPECT_EQ(rotl(uint8_t{0x12}, 4), uint8_t{0x21});
+ EXPECT_EQ(rotl(uint16_t{0x1234}, 4), uint16_t{0x2341});
+ EXPECT_EQ(rotl(uint32_t{0x12345678UL}, 4), uint32_t{0x23456781UL});
+ EXPECT_EQ(rotl(uint64_t{0x12345678ABCDEF01ULL}, 4),
+ uint64_t{0x2345678ABCDEF011ULL});
+
+ EXPECT_EQ(rotl(uint8_t{0x12}, -4), uint8_t{0x21});
+ EXPECT_EQ(rotl(uint16_t{0x1234}, -4), uint16_t{0x4123});
+ EXPECT_EQ(rotl(uint32_t{0x12345678UL}, -4), uint32_t{0x81234567UL});
+ EXPECT_EQ(rotl(uint64_t{0x12345678ABCDEF01ULL}, -4),
+ uint64_t{0x112345678ABCDEF0ULL});
+}
+
+TEST(Rotate, Right) {
+ static_assert(rotr(uint8_t{0x12}, 0) == uint8_t{0x12}, "");
+ static_assert(rotr(uint16_t{0x1234}, 0) == uint16_t{0x1234}, "");
+ static_assert(rotr(uint32_t{0x12345678UL}, 0) == uint32_t{0x12345678UL}, "");
+ static_assert(rotr(uint64_t{0x12345678ABCDEF01ULL}, 0) ==
+ uint64_t{0x12345678ABCDEF01ULL},
+ "");
+
+ EXPECT_EQ(rotr(uint8_t{0x12}, 0), uint8_t{0x12});
+ EXPECT_EQ(rotr(uint16_t{0x1234}, 0), uint16_t{0x1234});
+ EXPECT_EQ(rotr(uint32_t{0x12345678UL}, 0), uint32_t{0x12345678UL});
+ EXPECT_EQ(rotr(uint64_t{0x12345678ABCDEF01ULL}, 0),
+ uint64_t{0x12345678ABCDEF01ULL});
+
+ EXPECT_EQ(rotr(uint8_t{0x12}, 8), uint8_t{0x12});
+ EXPECT_EQ(rotr(uint16_t{0x1234}, 16), uint16_t{0x1234});
+ EXPECT_EQ(rotr(uint32_t{0x12345678UL}, 32), uint32_t{0x12345678UL});
+ EXPECT_EQ(rotr(uint64_t{0x12345678ABCDEF01ULL}, 64),
+ uint64_t{0x12345678ABCDEF01ULL});
+
+ EXPECT_EQ(rotr(uint8_t{0x12}, -8), uint8_t{0x12});
+ EXPECT_EQ(rotr(uint16_t{0x1234}, -16), uint16_t{0x1234});
+ EXPECT_EQ(rotr(uint32_t{0x12345678UL}, -32), uint32_t{0x12345678UL});
+ EXPECT_EQ(rotr(uint64_t{0x12345678ABCDEF01ULL}, -64),
+ uint64_t{0x12345678ABCDEF01ULL});
+
+ EXPECT_EQ(rotr(uint8_t{0x12}, 4), uint8_t{0x21});
+ EXPECT_EQ(rotr(uint16_t{0x1234}, 4), uint16_t{0x4123});
+ EXPECT_EQ(rotr(uint32_t{0x12345678UL}, 4), uint32_t{0x81234567UL});
+ EXPECT_EQ(rotr(uint64_t{0x12345678ABCDEF01ULL}, 4),
+ uint64_t{0x112345678ABCDEF0ULL});
+
+ EXPECT_EQ(rotr(uint8_t{0x12}, -4), uint8_t{0x21});
+ EXPECT_EQ(rotr(uint16_t{0x1234}, -4), uint16_t{0x2341});
+ EXPECT_EQ(rotr(uint32_t{0x12345678UL}, -4), uint32_t{0x23456781UL});
+ EXPECT_EQ(rotr(uint64_t{0x12345678ABCDEF01ULL}, -4),
+ uint64_t{0x2345678ABCDEF011ULL});
+}
+
+TEST(Rotate, Symmetry) {
+ // rotr(x, s) is equivalent to rotl(x, -s)
+ absl::BitGen rng;
+ constexpr int kTrials = 100;
+
+ for (int i = 0; i < kTrials; ++i) {
+ uint8_t value = absl::Uniform(rng, std::numeric_limits<uint8_t>::min(),
+ std::numeric_limits<uint8_t>::max());
+ int shift = absl::Uniform(rng, -2 * std::numeric_limits<uint8_t>::digits,
+ 2 * std::numeric_limits<uint8_t>::digits);
+
+ EXPECT_EQ(rotl(value, shift), rotr(value, -shift));
+ }
+
+ for (int i = 0; i < kTrials; ++i) {
+ uint16_t value = absl::Uniform(rng, std::numeric_limits<uint16_t>::min(),
+ std::numeric_limits<uint16_t>::max());
+ int shift = absl::Uniform(rng, -2 * std::numeric_limits<uint16_t>::digits,
+ 2 * std::numeric_limits<uint16_t>::digits);
+
+ EXPECT_EQ(rotl(value, shift), rotr(value, -shift));
+ }
+
+ for (int i = 0; i < kTrials; ++i) {
+ uint32_t value = absl::Uniform(rng, std::numeric_limits<uint32_t>::min(),
+ std::numeric_limits<uint32_t>::max());
+ int shift = absl::Uniform(rng, -2 * std::numeric_limits<uint32_t>::digits,
+ 2 * std::numeric_limits<uint32_t>::digits);
+
+ EXPECT_EQ(rotl(value, shift), rotr(value, -shift));
+ }
+
+ for (int i = 0; i < kTrials; ++i) {
+ uint64_t value = absl::Uniform(rng, std::numeric_limits<uint64_t>::min(),
+ std::numeric_limits<uint64_t>::max());
+ int shift = absl::Uniform(rng, -2 * std::numeric_limits<uint64_t>::digits,
+ 2 * std::numeric_limits<uint64_t>::digits);
+
+ EXPECT_EQ(rotl(value, shift), rotr(value, -shift));
+ }
+}
+
+TEST(Counting, LeadingZeroes) {
+#if ABSL_INTERNAL_HAS_CONSTEXPR_CLZ
+ static_assert(countl_zero(uint8_t{}) == 8, "");
+ static_assert(countl_zero(static_cast<uint8_t>(-1)) == 0, "");
+ static_assert(countl_zero(uint16_t{}) == 16, "");
+ static_assert(countl_zero(static_cast<uint16_t>(-1)) == 0, "");
+ static_assert(countl_zero(uint32_t{}) == 32, "");
+ static_assert(countl_zero(~uint32_t{}) == 0, "");
+ static_assert(countl_zero(uint64_t{}) == 64, "");
+ static_assert(countl_zero(~uint64_t{}) == 0, "");
+#endif
+
+ EXPECT_EQ(countl_zero(uint8_t{}), 8);
+ EXPECT_EQ(countl_zero(static_cast<uint8_t>(-1)), 0);
+ EXPECT_EQ(countl_zero(uint16_t{}), 16);
+ EXPECT_EQ(countl_zero(static_cast<uint16_t>(-1)), 0);
+ EXPECT_EQ(countl_zero(uint32_t{}), 32);
+ EXPECT_EQ(countl_zero(~uint32_t{}), 0);
+ EXPECT_EQ(countl_zero(uint64_t{}), 64);
+ EXPECT_EQ(countl_zero(~uint64_t{}), 0);
+
+ for (int i = 0; i < 8; i++) {
+ EXPECT_EQ(countl_zero(static_cast<uint8_t>(1u << i)), 7 - i);
+ }
+
+ for (int i = 0; i < 16; i++) {
+ EXPECT_EQ(countl_zero(static_cast<uint16_t>(1u << i)), 15 - i);
+ }
+
+ for (int i = 0; i < 32; i++) {
+ EXPECT_EQ(countl_zero(uint32_t{1} << i), 31 - i);
+ }
+
+ for (int i = 0; i < 64; i++) {
+ EXPECT_EQ(countl_zero(uint64_t{1} << i), 63 - i);
+ }
+}
+
+TEST(Counting, LeadingOnes) {
+#if ABSL_INTERNAL_HAS_CONSTEXPR_CLZ
+ static_assert(countl_one(uint8_t{}) == 0, "");
+ static_assert(countl_one(static_cast<uint8_t>(-1)) == 8, "");
+ static_assert(countl_one(uint16_t{}) == 0, "");
+ static_assert(countl_one(static_cast<uint16_t>(-1)) == 16, "");
+ static_assert(countl_one(uint32_t{}) == 0, "");
+ static_assert(countl_one(~uint32_t{}) == 32, "");
+ static_assert(countl_one(uint64_t{}) == 0, "");
+ static_assert(countl_one(~uint64_t{}) == 64, "");
+#endif
+
+ EXPECT_EQ(countl_one(uint8_t{}), 0);
+ EXPECT_EQ(countl_one(static_cast<uint8_t>(-1)), 8);
+ EXPECT_EQ(countl_one(uint16_t{}), 0);
+ EXPECT_EQ(countl_one(static_cast<uint16_t>(-1)), 16);
+ EXPECT_EQ(countl_one(uint32_t{}), 0);
+ EXPECT_EQ(countl_one(~uint32_t{}), 32);
+ EXPECT_EQ(countl_one(uint64_t{}), 0);
+ EXPECT_EQ(countl_one(~uint64_t{}), 64);
+}
+
+TEST(Counting, TrailingZeroes) {
+#if ABSL_INTERNAL_HAS_CONSTEXPR_CTZ
+ static_assert(countr_zero(uint8_t{}) == 8, "");
+ static_assert(countr_zero(static_cast<uint8_t>(-1)) == 0, "");
+ static_assert(countr_zero(uint16_t{}) == 16, "");
+ static_assert(countr_zero(static_cast<uint16_t>(-1)) == 0, "");
+ static_assert(countr_zero(uint32_t{}) == 32, "");
+ static_assert(countr_zero(~uint32_t{}) == 0, "");
+ static_assert(countr_zero(uint64_t{}) == 64, "");
+ static_assert(countr_zero(~uint64_t{}) == 0, "");
+#endif
+
+ EXPECT_EQ(countr_zero(uint8_t{}), 8);
+ EXPECT_EQ(countr_zero(static_cast<uint8_t>(-1)), 0);
+ EXPECT_EQ(countr_zero(uint16_t{}), 16);
+ EXPECT_EQ(countr_zero(static_cast<uint16_t>(-1)), 0);
+ EXPECT_EQ(countr_zero(uint32_t{}), 32);
+ EXPECT_EQ(countr_zero(~uint32_t{}), 0);
+ EXPECT_EQ(countr_zero(uint64_t{}), 64);
+ EXPECT_EQ(countr_zero(~uint64_t{}), 0);
+}
+
+TEST(Counting, TrailingOnes) {
+#if ABSL_INTERNAL_HAS_CONSTEXPR_CTZ
+ static_assert(countr_one(uint8_t{}) == 0, "");
+ static_assert(countr_one(static_cast<uint8_t>(-1)) == 8, "");
+ static_assert(countr_one(uint16_t{}) == 0, "");
+ static_assert(countr_one(static_cast<uint16_t>(-1)) == 16, "");
+ static_assert(countr_one(uint32_t{}) == 0, "");
+ static_assert(countr_one(~uint32_t{}) == 32, "");
+ static_assert(countr_one(uint64_t{}) == 0, "");
+ static_assert(countr_one(~uint64_t{}) == 64, "");
+#endif
+
+ EXPECT_EQ(countr_one(uint8_t{}), 0);
+ EXPECT_EQ(countr_one(static_cast<uint8_t>(-1)), 8);
+ EXPECT_EQ(countr_one(uint16_t{}), 0);
+ EXPECT_EQ(countr_one(static_cast<uint16_t>(-1)), 16);
+ EXPECT_EQ(countr_one(uint32_t{}), 0);
+ EXPECT_EQ(countr_one(~uint32_t{}), 32);
+ EXPECT_EQ(countr_one(uint64_t{}), 0);
+ EXPECT_EQ(countr_one(~uint64_t{}), 64);
+}
+
+TEST(Counting, Popcount) {
+#if ABSL_INTERNAL_HAS_CONSTEXPR_POPCOUNT
+ static_assert(popcount(uint8_t{}) == 0, "");
+ static_assert(popcount(uint8_t{1}) == 1, "");
+ static_assert(popcount(static_cast<uint8_t>(-1)) == 8, "");
+ static_assert(popcount(uint16_t{}) == 0, "");
+ static_assert(popcount(uint16_t{1}) == 1, "");
+ static_assert(popcount(static_cast<uint16_t>(-1)) == 16, "");
+ static_assert(popcount(uint32_t{}) == 0, "");
+ static_assert(popcount(uint32_t{1}) == 1, "");
+ static_assert(popcount(~uint32_t{}) == 32, "");
+ static_assert(popcount(uint64_t{}) == 0, "");
+ static_assert(popcount(uint64_t{1}) == 1, "");
+ static_assert(popcount(~uint64_t{}) == 64, "");
+#endif // ABSL_INTERNAL_HAS_CONSTEXPR_POPCOUNT
+
+ EXPECT_EQ(popcount(uint8_t{}), 0);
+ EXPECT_EQ(popcount(uint8_t{1}), 1);
+ EXPECT_EQ(popcount(static_cast<uint8_t>(-1)), 8);
+ EXPECT_EQ(popcount(uint16_t{}), 0);
+ EXPECT_EQ(popcount(uint16_t{1}), 1);
+ EXPECT_EQ(popcount(static_cast<uint16_t>(-1)), 16);
+ EXPECT_EQ(popcount(uint32_t{}), 0);
+ EXPECT_EQ(popcount(uint32_t{1}), 1);
+ EXPECT_EQ(popcount(~uint32_t{}), 32);
+ EXPECT_EQ(popcount(uint64_t{}), 0);
+ EXPECT_EQ(popcount(uint64_t{1}), 1);
+ EXPECT_EQ(popcount(~uint64_t{}), 64);
+
+ for (int i = 0; i < 8; i++) {
+ EXPECT_EQ(popcount(static_cast<uint8_t>(uint8_t{1} << i)), 1);
+ EXPECT_EQ(popcount(static_cast<uint8_t>(static_cast<uint8_t>(-1) ^
+ (uint8_t{1} << i))),
+ 7);
+ }
+
+ for (int i = 0; i < 16; i++) {
+ EXPECT_EQ(popcount(static_cast<uint16_t>(uint16_t{1} << i)), 1);
+ EXPECT_EQ(popcount(static_cast<uint16_t>(static_cast<uint16_t>(-1) ^
+ (uint16_t{1} << i))),
+ 15);
+ }
+
+ for (int i = 0; i < 32; i++) {
+ EXPECT_EQ(popcount(uint32_t{1} << i), 1);
+ EXPECT_EQ(popcount(static_cast<uint32_t>(-1) ^ (uint32_t{1} << i)), 31);
+ }
+
+ for (int i = 0; i < 64; i++) {
+ EXPECT_EQ(popcount(uint64_t{1} << i), 1);
+ EXPECT_EQ(popcount(static_cast<uint64_t>(-1) ^ (uint64_t{1} << i)), 63);
+ }
+}
+
+template <typename T>
+struct PopcountInput {
+ T value = 0;
+ int expected = 0;
+};
+
+template <typename T>
+PopcountInput<T> GeneratePopcountInput(absl::BitGen& gen) {
+ PopcountInput<T> ret;
+ for (int i = 0; i < std::numeric_limits<T>::digits; i++) {
+ bool coin = absl::Bernoulli(gen, 0.2);
+ if (coin) {
+ ret.value |= T{1} << i;
+ ret.expected++;
+ }
+ }
+ return ret;
+}
+
+TEST(Counting, PopcountFuzz) {
+ absl::BitGen rng;
+ constexpr int kTrials = 100;
+
+ for (int i = 0; i < kTrials; ++i) {
+ auto input = GeneratePopcountInput<uint8_t>(rng);
+ EXPECT_EQ(popcount(input.value), input.expected);
+ }
+
+ for (int i = 0; i < kTrials; ++i) {
+ auto input = GeneratePopcountInput<uint16_t>(rng);
+ EXPECT_EQ(popcount(input.value), input.expected);
+ }
+
+ for (int i = 0; i < kTrials; ++i) {
+ auto input = GeneratePopcountInput<uint32_t>(rng);
+ EXPECT_EQ(popcount(input.value), input.expected);
+ }
+
+ for (int i = 0; i < kTrials; ++i) {
+ auto input = GeneratePopcountInput<uint64_t>(rng);
+ EXPECT_EQ(popcount(input.value), input.expected);
+ }
+}
+
+TEST(IntegralPowersOfTwo, SingleBit) {
+ EXPECT_FALSE(has_single_bit(uint8_t{}));
+ EXPECT_FALSE(has_single_bit(static_cast<uint8_t>(-1)));
+ EXPECT_FALSE(has_single_bit(uint16_t{}));
+ EXPECT_FALSE(has_single_bit(static_cast<uint16_t>(-1)));
+ EXPECT_FALSE(has_single_bit(uint32_t{}));
+ EXPECT_FALSE(has_single_bit(~uint32_t{}));
+ EXPECT_FALSE(has_single_bit(uint64_t{}));
+ EXPECT_FALSE(has_single_bit(~uint64_t{}));
+
+ static_assert(!has_single_bit(0u), "");
+ static_assert(has_single_bit(1u), "");
+ static_assert(has_single_bit(2u), "");
+ static_assert(!has_single_bit(3u), "");
+ static_assert(has_single_bit(4u), "");
+ static_assert(!has_single_bit(1337u), "");
+ static_assert(has_single_bit(65536u), "");
+ static_assert(has_single_bit(uint32_t{1} << 30), "");
+ static_assert(has_single_bit(uint64_t{1} << 42), "");
+
+ EXPECT_FALSE(has_single_bit(0u));
+ EXPECT_TRUE(has_single_bit(1u));
+ EXPECT_TRUE(has_single_bit(2u));
+ EXPECT_FALSE(has_single_bit(3u));
+ EXPECT_TRUE(has_single_bit(4u));
+ EXPECT_FALSE(has_single_bit(1337u));
+ EXPECT_TRUE(has_single_bit(65536u));
+ EXPECT_TRUE(has_single_bit(uint32_t{1} << 30));
+ EXPECT_TRUE(has_single_bit(uint64_t{1} << 42));
+
+ EXPECT_TRUE(has_single_bit(
+ static_cast<uint8_t>(std::numeric_limits<uint8_t>::max() / 2 + 1)));
+ EXPECT_TRUE(has_single_bit(
+ static_cast<uint16_t>(std::numeric_limits<uint16_t>::max() / 2 + 1)));
+ EXPECT_TRUE(has_single_bit(
+ static_cast<uint32_t>(std::numeric_limits<uint32_t>::max() / 2 + 1)));
+ EXPECT_TRUE(has_single_bit(
+ static_cast<uint64_t>(std::numeric_limits<uint64_t>::max() / 2 + 1)));
+}
+
+template <typename T, T arg, T = bit_ceil(arg)>
+bool IsBitCeilConstantExpression(int) {
+ return true;
+}
+template <typename T, T arg>
+bool IsBitCeilConstantExpression(char) {
+ return false;
+}
+
+TEST(IntegralPowersOfTwo, Ceiling) {
+#if ABSL_INTERNAL_HAS_CONSTEXPR_CLZ
+ static_assert(bit_ceil(0u) == 1, "");
+ static_assert(bit_ceil(1u) == 1, "");
+ static_assert(bit_ceil(2u) == 2, "");
+ static_assert(bit_ceil(3u) == 4, "");
+ static_assert(bit_ceil(4u) == 4, "");
+ static_assert(bit_ceil(1337u) == 2048, "");
+ static_assert(bit_ceil(65536u) == 65536, "");
+ static_assert(bit_ceil(65536u - 1337u) == 65536, "");
+ static_assert(bit_ceil(uint32_t{0x80000000}) == uint32_t{0x80000000}, "");
+ static_assert(bit_ceil(uint64_t{0x40000000000}) == uint64_t{0x40000000000},
+ "");
+ static_assert(
+ bit_ceil(uint64_t{0x8000000000000000}) == uint64_t{0x8000000000000000},
+ "");
+
+ EXPECT_TRUE((IsBitCeilConstantExpression<uint8_t, uint8_t{0x0}>(0)));
+ EXPECT_TRUE((IsBitCeilConstantExpression<uint8_t, uint8_t{0x80}>(0)));
+ EXPECT_FALSE((IsBitCeilConstantExpression<uint8_t, uint8_t{0x81}>(0)));
+ EXPECT_FALSE((IsBitCeilConstantExpression<uint8_t, uint8_t{0xff}>(0)));
+
+ EXPECT_TRUE((IsBitCeilConstantExpression<uint16_t, uint16_t{0x0}>(0)));
+ EXPECT_TRUE((IsBitCeilConstantExpression<uint16_t, uint16_t{0x8000}>(0)));
+ EXPECT_FALSE((IsBitCeilConstantExpression<uint16_t, uint16_t{0x8001}>(0)));
+ EXPECT_FALSE((IsBitCeilConstantExpression<uint16_t, uint16_t{0xffff}>(0)));
+
+ EXPECT_TRUE((IsBitCeilConstantExpression<uint32_t, uint32_t{0x0}>(0)));
+ EXPECT_TRUE((IsBitCeilConstantExpression<uint32_t, uint32_t{0x80000000}>(0)));
+ EXPECT_FALSE(
+ (IsBitCeilConstantExpression<uint32_t, uint32_t{0x80000001}>(0)));
+ EXPECT_FALSE(
+ (IsBitCeilConstantExpression<uint32_t, uint32_t{0xffffffff}>(0)));
+
+ EXPECT_TRUE((IsBitCeilConstantExpression<uint64_t, uint64_t{0x0}>(0)));
+ EXPECT_TRUE(
+ (IsBitCeilConstantExpression<uint64_t, uint64_t{0x8000000000000000}>(0)));
+ EXPECT_FALSE(
+ (IsBitCeilConstantExpression<uint64_t, uint64_t{0x8000000000000001}>(0)));
+ EXPECT_FALSE(
+ (IsBitCeilConstantExpression<uint64_t, uint64_t{0xffffffffffffffff}>(0)));
+#endif
+
+ EXPECT_EQ(bit_ceil(0u), 1);
+ EXPECT_EQ(bit_ceil(1u), 1);
+ EXPECT_EQ(bit_ceil(2u), 2);
+ EXPECT_EQ(bit_ceil(3u), 4);
+ EXPECT_EQ(bit_ceil(4u), 4);
+ EXPECT_EQ(bit_ceil(1337u), 2048);
+ EXPECT_EQ(bit_ceil(65536u), 65536);
+ EXPECT_EQ(bit_ceil(65536u - 1337u), 65536);
+ EXPECT_EQ(bit_ceil(uint64_t{0x40000000000}), uint64_t{0x40000000000});
+}
+
+TEST(IntegralPowersOfTwo, Floor) {
+#if ABSL_INTERNAL_HAS_CONSTEXPR_CLZ
+ static_assert(bit_floor(0u) == 0, "");
+ static_assert(bit_floor(1u) == 1, "");
+ static_assert(bit_floor(2u) == 2, "");
+ static_assert(bit_floor(3u) == 2, "");
+ static_assert(bit_floor(4u) == 4, "");
+ static_assert(bit_floor(1337u) == 1024, "");
+ static_assert(bit_floor(65536u) == 65536, "");
+ static_assert(bit_floor(65536u - 1337u) == 32768, "");
+ static_assert(bit_floor(uint64_t{0x40000000000}) == uint64_t{0x40000000000},
+ "");
+#endif
+
+ EXPECT_EQ(bit_floor(0u), 0);
+ EXPECT_EQ(bit_floor(1u), 1);
+ EXPECT_EQ(bit_floor(2u), 2);
+ EXPECT_EQ(bit_floor(3u), 2);
+ EXPECT_EQ(bit_floor(4u), 4);
+ EXPECT_EQ(bit_floor(1337u), 1024);
+ EXPECT_EQ(bit_floor(65536u), 65536);
+ EXPECT_EQ(bit_floor(65536u - 1337u), 32768);
+ EXPECT_EQ(bit_floor(uint64_t{0x40000000000}), uint64_t{0x40000000000});
+
+ for (int i = 0; i < 8; i++) {
+ uint8_t input = uint8_t{1} << i;
+ EXPECT_EQ(bit_floor(input), input);
+ if (i > 0) {
+ EXPECT_EQ(bit_floor(static_cast<uint8_t>(input + 1)), input);
+ }
+ }
+
+ for (int i = 0; i < 16; i++) {
+ uint16_t input = uint16_t{1} << i;
+ EXPECT_EQ(bit_floor(input), input);
+ if (i > 0) {
+ EXPECT_EQ(bit_floor(static_cast<uint16_t>(input + 1)), input);
+ }
+ }
+
+ for (int i = 0; i < 32; i++) {
+ uint32_t input = uint32_t{1} << i;
+ EXPECT_EQ(bit_floor(input), input);
+ if (i > 0) {
+ EXPECT_EQ(bit_floor(input + 1), input);
+ }
+ }
+
+ for (int i = 0; i < 64; i++) {
+ uint64_t input = uint64_t{1} << i;
+ EXPECT_EQ(bit_floor(input), input);
+ if (i > 0) {
+ EXPECT_EQ(bit_floor(input + 1), input);
+ }
+ }
+}
+
+TEST(IntegralPowersOfTwo, Width) {
+#if ABSL_INTERNAL_HAS_CONSTEXPR_CLZ
+ static_assert(bit_width(uint8_t{}) == 0, "");
+ static_assert(bit_width(uint8_t{1}) == 1, "");
+ static_assert(bit_width(uint8_t{3}) == 2, "");
+ static_assert(bit_width(static_cast<uint8_t>(-1)) == 8, "");
+ static_assert(bit_width(uint16_t{}) == 0, "");
+ static_assert(bit_width(uint16_t{1}) == 1, "");
+ static_assert(bit_width(uint16_t{3}) == 2, "");
+ static_assert(bit_width(static_cast<uint16_t>(-1)) == 16, "");
+ static_assert(bit_width(uint32_t{}) == 0, "");
+ static_assert(bit_width(uint32_t{1}) == 1, "");
+ static_assert(bit_width(uint32_t{3}) == 2, "");
+ static_assert(bit_width(~uint32_t{}) == 32, "");
+ static_assert(bit_width(uint64_t{}) == 0, "");
+ static_assert(bit_width(uint64_t{1}) == 1, "");
+ static_assert(bit_width(uint64_t{3}) == 2, "");
+ static_assert(bit_width(~uint64_t{}) == 64, "");
+#endif
+
+ EXPECT_EQ(bit_width(uint8_t{}), 0);
+ EXPECT_EQ(bit_width(uint8_t{1}), 1);
+ EXPECT_EQ(bit_width(uint8_t{3}), 2);
+ EXPECT_EQ(bit_width(static_cast<uint8_t>(-1)), 8);
+ EXPECT_EQ(bit_width(uint16_t{}), 0);
+ EXPECT_EQ(bit_width(uint16_t{1}), 1);
+ EXPECT_EQ(bit_width(uint16_t{3}), 2);
+ EXPECT_EQ(bit_width(static_cast<uint16_t>(-1)), 16);
+ EXPECT_EQ(bit_width(uint32_t{}), 0);
+ EXPECT_EQ(bit_width(uint32_t{1}), 1);
+ EXPECT_EQ(bit_width(uint32_t{3}), 2);
+ EXPECT_EQ(bit_width(~uint32_t{}), 32);
+ EXPECT_EQ(bit_width(uint64_t{}), 0);
+ EXPECT_EQ(bit_width(uint64_t{1}), 1);
+ EXPECT_EQ(bit_width(uint64_t{3}), 2);
+ EXPECT_EQ(bit_width(~uint64_t{}), 64);
+
+ for (int i = 0; i < 8; i++) {
+ EXPECT_EQ(bit_width(static_cast<uint8_t>(uint8_t{1} << i)), i + 1);
+ }
+
+ for (int i = 0; i < 16; i++) {
+ EXPECT_EQ(bit_width(static_cast<uint16_t>(uint16_t{1} << i)), i + 1);
+ }
+
+ for (int i = 0; i < 32; i++) {
+ EXPECT_EQ(bit_width(uint32_t{1} << i), i + 1);
+ }
+
+ for (int i = 0; i < 64; i++) {
+ EXPECT_EQ(bit_width(uint64_t{1} << i), i + 1);
+ }
+}
+
+// On GCC and Clang, anticiapte that implementations will be constexpr
+#if defined(__GNUC__)
+static_assert(ABSL_INTERNAL_HAS_CONSTEXPR_POPCOUNT,
+ "popcount should be constexpr");
+static_assert(ABSL_INTERNAL_HAS_CONSTEXPR_CLZ, "clz should be constexpr");
+static_assert(ABSL_INTERNAL_HAS_CONSTEXPR_CTZ, "ctz should be constexpr");
+#endif
+
+} // namespace
+ABSL_NAMESPACE_END
+} // namespace absl
diff --git a/abseil-cpp/absl/numeric/int128.cc b/abseil-cpp/absl/numeric/int128.cc
index e21e5e9..daa32b5 100644
--- a/abseil-cpp/absl/numeric/int128.cc
+++ b/abseil-cpp/absl/numeric/int128.cc
@@ -23,8 +23,8 @@
#include <string>
#include <type_traits>
-#include "absl/base/internal/bits.h"
#include "absl/base/optimization.h"
+#include "absl/numeric/bits.h"
namespace absl {
ABSL_NAMESPACE_BEGIN
@@ -42,12 +42,12 @@ namespace {
// Returns: 2
inline ABSL_ATTRIBUTE_ALWAYS_INLINE int Fls128(uint128 n) {
if (uint64_t hi = Uint128High64(n)) {
- ABSL_INTERNAL_ASSUME(hi != 0);
- return 127 - base_internal::CountLeadingZeros64(hi);
+ ABSL_ASSUME(hi != 0);
+ return 127 - countl_zero(hi);
}
const uint64_t low = Uint128Low64(n);
- ABSL_INTERNAL_ASSUME(low != 0);
- return 63 - base_internal::CountLeadingZeros64(low);
+ ABSL_ASSUME(low != 0);
+ return 63 - countl_zero(low);
}
// Long division/modulo for uint128 implemented using the shift-subtract
@@ -111,7 +111,7 @@ uint128 MakeUint128FromFloat(T v) {
return MakeUint128(0, static_cast<uint64_t>(v));
}
-#if defined(__clang__) && !defined(__SSE3__)
+#if defined(__clang__) && (__clang_major__ < 9) && !defined(__SSE3__)
// Workaround for clang bug: https://bugs.llvm.org/show_bug.cgi?id=38289
// Casting from long double to uint64_t is miscompiled and drops bits.
// It is more work, so only use when we need the workaround.
@@ -131,35 +131,28 @@ uint128 MakeUint128FromFloat(long double v) {
return (static_cast<uint128>(w0) << 100) | (static_cast<uint128>(w1) << 50) |
static_cast<uint128>(w2);
}
-#endif // __clang__ && !__SSE3__
+#endif // __clang__ && (__clang_major__ < 9) && !__SSE3__
} // namespace
uint128::uint128(float v) : uint128(MakeUint128FromFloat(v)) {}
uint128::uint128(double v) : uint128(MakeUint128FromFloat(v)) {}
uint128::uint128(long double v) : uint128(MakeUint128FromFloat(v)) {}
+#if !defined(ABSL_HAVE_INTRINSIC_INT128)
uint128 operator/(uint128 lhs, uint128 rhs) {
-#if defined(ABSL_HAVE_INTRINSIC_INT128)
- return static_cast<unsigned __int128>(lhs) /
- static_cast<unsigned __int128>(rhs);
-#else // ABSL_HAVE_INTRINSIC_INT128
uint128 quotient = 0;
uint128 remainder = 0;
DivModImpl(lhs, rhs, &quotient, &remainder);
return quotient;
-#endif // ABSL_HAVE_INTRINSIC_INT128
}
+
uint128 operator%(uint128 lhs, uint128 rhs) {
-#if defined(ABSL_HAVE_INTRINSIC_INT128)
- return static_cast<unsigned __int128>(lhs) %
- static_cast<unsigned __int128>(rhs);
-#else // ABSL_HAVE_INTRINSIC_INT128
uint128 quotient = 0;
uint128 remainder = 0;
DivModImpl(lhs, rhs, &quotient, &remainder);
return remainder;
-#endif // ABSL_HAVE_INTRINSIC_INT128
}
+#endif // !defined(ABSL_HAVE_INTRINSIC_INT128)
namespace {
@@ -209,6 +202,10 @@ std::string Uint128ToFormattedString(uint128 v, std::ios_base::fmtflags flags) {
} // namespace
+std::string uint128::ToString() const {
+ return Uint128ToFormattedString(*this, std::ios_base::dec);
+}
+
std::ostream& operator<<(std::ostream& os, uint128 v) {
std::ios_base::fmtflags flags = os.flags();
std::string rep = Uint128ToFormattedString(v, flags);
@@ -216,15 +213,16 @@ std::ostream& operator<<(std::ostream& os, uint128 v) {
// Add the requisite padding.
std::streamsize width = os.width(0);
if (static_cast<size_t>(width) > rep.size()) {
+ const size_t count = static_cast<size_t>(width) - rep.size();
std::ios::fmtflags adjustfield = flags & std::ios::adjustfield;
if (adjustfield == std::ios::left) {
- rep.append(width - rep.size(), os.fill());
+ rep.append(count, os.fill());
} else if (adjustfield == std::ios::internal &&
(flags & std::ios::showbase) &&
(flags & std::ios::basefield) == std::ios::hex && v != 0) {
- rep.insert(2, width - rep.size(), os.fill());
+ rep.insert(size_t{2}, count, os.fill());
} else {
- rep.insert(0, width - rep.size(), os.fill());
+ rep.insert(size_t{0}, count, os.fill());
}
}
@@ -291,6 +289,14 @@ int128 operator%(int128 lhs, int128 rhs) {
}
#endif // ABSL_HAVE_INTRINSIC_INT128
+std::string int128::ToString() const {
+ std::string rep;
+ if (Int128High64(*this) < 0) rep = "-";
+ rep.append(Uint128ToFormattedString(UnsignedAbsoluteValue(*this),
+ std::ios_base::dec));
+ return rep;
+}
+
std::ostream& operator<<(std::ostream& os, int128 v) {
std::ios_base::fmtflags flags = os.flags();
std::string rep;
@@ -313,22 +319,23 @@ std::ostream& operator<<(std::ostream& os, int128 v) {
// Add the requisite padding.
std::streamsize width = os.width(0);
if (static_cast<size_t>(width) > rep.size()) {
+ const size_t count = static_cast<size_t>(width) - rep.size();
switch (flags & std::ios::adjustfield) {
case std::ios::left:
- rep.append(width - rep.size(), os.fill());
+ rep.append(count, os.fill());
break;
case std::ios::internal:
if (print_as_decimal && (rep[0] == '+' || rep[0] == '-')) {
- rep.insert(1, width - rep.size(), os.fill());
+ rep.insert(size_t{1}, count, os.fill());
} else if ((flags & std::ios::basefield) == std::ios::hex &&
(flags & std::ios::showbase) && v != 0) {
- rep.insert(2, width - rep.size(), os.fill());
+ rep.insert(size_t{2}, count, os.fill());
} else {
- rep.insert(0, width - rep.size(), os.fill());
+ rep.insert(size_t{0}, count, os.fill());
}
break;
default: // std::ios::right
- rep.insert(0, width - rep.size(), os.fill());
+ rep.insert(size_t{0}, count, os.fill());
break;
}
}
@@ -339,6 +346,7 @@ std::ostream& operator<<(std::ostream& os, int128 v) {
ABSL_NAMESPACE_END
} // namespace absl
+#ifdef ABSL_INTERNAL_NEED_REDUNDANT_CONSTEXPR_DECL
namespace std {
constexpr bool numeric_limits<absl::uint128>::is_specialized;
constexpr bool numeric_limits<absl::uint128>::is_signed;
@@ -388,3 +396,4 @@ constexpr int numeric_limits<absl::int128>::max_exponent10;
constexpr bool numeric_limits<absl::int128>::traps;
constexpr bool numeric_limits<absl::int128>::tinyness_before;
} // namespace std
+#endif
diff --git a/abseil-cpp/absl/numeric/int128.h b/abseil-cpp/absl/numeric/int128.h
index 0dd814a..7530a79 100644
--- a/abseil-cpp/absl/numeric/int128.h
+++ b/abseil-cpp/absl/numeric/int128.h
@@ -18,6 +18,10 @@
// -----------------------------------------------------------------------------
//
// This header file defines 128-bit integer types, `uint128` and `int128`.
+//
+// TODO(absl-team): This module is inconsistent as many inline `uint128` methods
+// are defined in this file, while many inline `int128` methods are defined in
+// the `int128_*_intrinsic.inc` files.
#ifndef ABSL_NUMERIC_INT128_H_
#define ABSL_NUMERIC_INT128_H_
@@ -28,6 +32,7 @@
#include <cstring>
#include <iosfwd>
#include <limits>
+#include <string>
#include <utility>
#include "absl/base/config.h"
@@ -40,7 +45,7 @@
// builtin type. We need to make sure not to define operator wchar_t()
// alongside operator unsigned short() in these instances.
#define ABSL_INTERNAL_WCHAR_T __wchar_t
-#if defined(_M_X64)
+#if defined(_M_X64) && !defined(_M_ARM64EC)
#include <intrin.h>
#pragma intrinsic(_umul128)
#endif // defined(_M_X64)
@@ -115,8 +120,8 @@ class
#ifdef ABSL_HAVE_INTRINSIC_INT128
constexpr uint128(__int128 v); // NOLINT(runtime/explicit)
constexpr uint128(unsigned __int128 v); // NOLINT(runtime/explicit)
-#endif // ABSL_HAVE_INTRINSIC_INT128
- constexpr uint128(int128 v); // NOLINT(runtime/explicit)
+#endif // ABSL_HAVE_INTRINSIC_INT128
+ constexpr uint128(int128 v); // NOLINT(runtime/explicit)
explicit uint128(float v);
explicit uint128(double v);
explicit uint128(long double v);
@@ -213,9 +218,17 @@ class
return H::combine(std::move(h), Uint128High64(v), Uint128Low64(v));
}
+ // Support for absl::StrCat() etc.
+ template <typename Sink>
+ friend void AbslStringify(Sink& sink, uint128 v) {
+ sink.Append(v.ToString());
+ }
+
private:
constexpr uint128(uint64_t high, uint64_t low);
+ std::string ToString() const;
+
// TODO(strel) Update implementation to use __int128 once all users of
// uint128 are fixed to not depend on alignof(uint128) == 8. Also add
// alignas(16) to class definition to keep alignment consistent across
@@ -282,9 +295,9 @@ class numeric_limits<absl::uint128> {
#endif // ABSL_HAVE_INTRINSIC_INT128
static constexpr bool tinyness_before = false;
- static constexpr absl::uint128 (min)() { return 0; }
+ static constexpr absl::uint128(min)() { return 0; }
static constexpr absl::uint128 lowest() { return 0; }
- static constexpr absl::uint128 (max)() { return absl::Uint128Max(); }
+ static constexpr absl::uint128(max)() { return absl::Uint128Max(); }
static constexpr absl::uint128 epsilon() { return 0; }
static constexpr absl::uint128 round_error() { return 0; }
static constexpr absl::uint128 infinity() { return 0; }
@@ -450,9 +463,17 @@ class int128 {
return H::combine(std::move(h), Int128High64(v), Int128Low64(v));
}
+ // Support for absl::StrCat() etc.
+ template <typename Sink>
+ friend void AbslStringify(Sink& sink, int128 v) {
+ sink.Append(v.ToString());
+ }
+
private:
constexpr int128(int64_t high, uint64_t low);
+ std::string ToString() const;
+
#if defined(ABSL_HAVE_INTRINSIC_INT128)
__int128 v_;
#else // ABSL_HAVE_INTRINSIC_INT128
@@ -517,9 +538,9 @@ class numeric_limits<absl::int128> {
#endif // ABSL_HAVE_INTRINSIC_INT128
static constexpr bool tinyness_before = false;
- static constexpr absl::int128 (min)() { return absl::Int128Min(); }
+ static constexpr absl::int128(min)() { return absl::Int128Min(); }
static constexpr absl::int128 lowest() { return absl::Int128Min(); }
- static constexpr absl::int128 (max)() { return absl::Int128Max(); }
+ static constexpr absl::int128(max)() { return absl::Int128Max(); }
static constexpr absl::int128 epsilon() { return 0; }
static constexpr absl::int128 round_error() { return 0; }
static constexpr absl::int128 infinity() { return 0; }
@@ -557,9 +578,7 @@ inline uint128& uint128::operator=(unsigned long v) {
}
// NOLINTNEXTLINE(runtime/int)
-inline uint128& uint128::operator=(long long v) {
- return *this = uint128(v);
-}
+inline uint128& uint128::operator=(long long v) { return *this = uint128(v); }
// NOLINTNEXTLINE(runtime/int)
inline uint128& uint128::operator=(unsigned long long v) {
@@ -567,25 +586,21 @@ inline uint128& uint128::operator=(unsigned long long v) {
}
#ifdef ABSL_HAVE_INTRINSIC_INT128
-inline uint128& uint128::operator=(__int128 v) {
- return *this = uint128(v);
-}
+inline uint128& uint128::operator=(__int128 v) { return *this = uint128(v); }
inline uint128& uint128::operator=(unsigned __int128 v) {
return *this = uint128(v);
}
#endif // ABSL_HAVE_INTRINSIC_INT128
-inline uint128& uint128::operator=(int128 v) {
- return *this = uint128(v);
-}
+inline uint128& uint128::operator=(int128 v) { return *this = uint128(v); }
// Arithmetic operators.
-uint128 operator<<(uint128 lhs, int amount);
-uint128 operator>>(uint128 lhs, int amount);
-uint128 operator+(uint128 lhs, uint128 rhs);
-uint128 operator-(uint128 lhs, uint128 rhs);
+constexpr uint128 operator<<(uint128 lhs, int amount);
+constexpr uint128 operator>>(uint128 lhs, int amount);
+constexpr uint128 operator+(uint128 lhs, uint128 rhs);
+constexpr uint128 operator-(uint128 lhs, uint128 rhs);
uint128 operator*(uint128 lhs, uint128 rhs);
uint128 operator/(uint128 lhs, uint128 rhs);
uint128 operator%(uint128 lhs, uint128 rhs);
@@ -633,8 +648,7 @@ constexpr uint64_t Uint128High64(uint128 v) { return v.hi_; }
#if defined(ABSL_IS_LITTLE_ENDIAN)
-constexpr uint128::uint128(uint64_t high, uint64_t low)
- : lo_{low}, hi_{high} {}
+constexpr uint128::uint128(uint64_t high, uint64_t low) : lo_{low}, hi_{high} {}
constexpr uint128::uint128(int v)
: lo_{static_cast<uint64_t>(v)},
@@ -666,8 +680,7 @@ constexpr uint128::uint128(int128 v)
#elif defined(ABSL_IS_BIG_ENDIAN)
-constexpr uint128::uint128(uint64_t high, uint64_t low)
- : hi_{high}, lo_{low} {}
+constexpr uint128::uint128(uint64_t high, uint64_t low) : hi_{high}, lo_{low} {}
constexpr uint128::uint128(int v)
: hi_{v < 0 ? (std::numeric_limits<uint64_t>::max)() : 0},
@@ -782,16 +795,19 @@ inline uint128::operator long double() const {
// Comparison operators.
-inline bool operator==(uint128 lhs, uint128 rhs) {
+constexpr bool operator==(uint128 lhs, uint128 rhs) {
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+ return static_cast<unsigned __int128>(lhs) ==
+ static_cast<unsigned __int128>(rhs);
+#else
return (Uint128Low64(lhs) == Uint128Low64(rhs) &&
Uint128High64(lhs) == Uint128High64(rhs));
+#endif
}
-inline bool operator!=(uint128 lhs, uint128 rhs) {
- return !(lhs == rhs);
-}
+constexpr bool operator!=(uint128 lhs, uint128 rhs) { return !(lhs == rhs); }
-inline bool operator<(uint128 lhs, uint128 rhs) {
+constexpr bool operator<(uint128 lhs, uint128 rhs) {
#ifdef ABSL_HAVE_INTRINSIC_INT128
return static_cast<unsigned __int128>(lhs) <
static_cast<unsigned __int128>(rhs);
@@ -802,118 +818,165 @@ inline bool operator<(uint128 lhs, uint128 rhs) {
#endif
}
-inline bool operator>(uint128 lhs, uint128 rhs) { return rhs < lhs; }
+constexpr bool operator>(uint128 lhs, uint128 rhs) { return rhs < lhs; }
-inline bool operator<=(uint128 lhs, uint128 rhs) { return !(rhs < lhs); }
+constexpr bool operator<=(uint128 lhs, uint128 rhs) { return !(rhs < lhs); }
-inline bool operator>=(uint128 lhs, uint128 rhs) { return !(lhs < rhs); }
+constexpr bool operator>=(uint128 lhs, uint128 rhs) { return !(lhs < rhs); }
// Unary operators.
-inline uint128 operator-(uint128 val) {
- uint64_t hi = ~Uint128High64(val);
- uint64_t lo = ~Uint128Low64(val) + 1;
- if (lo == 0) ++hi; // carry
- return MakeUint128(hi, lo);
+constexpr inline uint128 operator+(uint128 val) { return val; }
+
+constexpr inline int128 operator+(int128 val) { return val; }
+
+constexpr uint128 operator-(uint128 val) {
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+ return -static_cast<unsigned __int128>(val);
+#else
+ return MakeUint128(
+ ~Uint128High64(val) + static_cast<unsigned long>(Uint128Low64(val) == 0),
+ ~Uint128Low64(val) + 1);
+#endif
}
-inline bool operator!(uint128 val) {
+constexpr inline bool operator!(uint128 val) {
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+ return !static_cast<unsigned __int128>(val);
+#else
return !Uint128High64(val) && !Uint128Low64(val);
+#endif
}
// Logical operators.
-inline uint128 operator~(uint128 val) {
+constexpr inline uint128 operator~(uint128 val) {
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+ return ~static_cast<unsigned __int128>(val);
+#else
return MakeUint128(~Uint128High64(val), ~Uint128Low64(val));
+#endif
}
-inline uint128 operator|(uint128 lhs, uint128 rhs) {
+constexpr inline uint128 operator|(uint128 lhs, uint128 rhs) {
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+ return static_cast<unsigned __int128>(lhs) |
+ static_cast<unsigned __int128>(rhs);
+#else
return MakeUint128(Uint128High64(lhs) | Uint128High64(rhs),
- Uint128Low64(lhs) | Uint128Low64(rhs));
+ Uint128Low64(lhs) | Uint128Low64(rhs));
+#endif
}
-inline uint128 operator&(uint128 lhs, uint128 rhs) {
+constexpr inline uint128 operator&(uint128 lhs, uint128 rhs) {
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+ return static_cast<unsigned __int128>(lhs) &
+ static_cast<unsigned __int128>(rhs);
+#else
return MakeUint128(Uint128High64(lhs) & Uint128High64(rhs),
- Uint128Low64(lhs) & Uint128Low64(rhs));
+ Uint128Low64(lhs) & Uint128Low64(rhs));
+#endif
}
-inline uint128 operator^(uint128 lhs, uint128 rhs) {
+constexpr inline uint128 operator^(uint128 lhs, uint128 rhs) {
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+ return static_cast<unsigned __int128>(lhs) ^
+ static_cast<unsigned __int128>(rhs);
+#else
return MakeUint128(Uint128High64(lhs) ^ Uint128High64(rhs),
- Uint128Low64(lhs) ^ Uint128Low64(rhs));
+ Uint128Low64(lhs) ^ Uint128Low64(rhs));
+#endif
}
inline uint128& uint128::operator|=(uint128 other) {
- hi_ |= other.hi_;
- lo_ |= other.lo_;
+ *this = *this | other;
return *this;
}
inline uint128& uint128::operator&=(uint128 other) {
- hi_ &= other.hi_;
- lo_ &= other.lo_;
+ *this = *this & other;
return *this;
}
inline uint128& uint128::operator^=(uint128 other) {
- hi_ ^= other.hi_;
- lo_ ^= other.lo_;
+ *this = *this ^ other;
return *this;
}
// Arithmetic operators.
-inline uint128 operator<<(uint128 lhs, int amount) {
+constexpr uint128 operator<<(uint128 lhs, int amount) {
#ifdef ABSL_HAVE_INTRINSIC_INT128
return static_cast<unsigned __int128>(lhs) << amount;
#else
// uint64_t shifts of >= 64 are undefined, so we will need some
// special-casing.
- if (amount < 64) {
- if (amount != 0) {
- return MakeUint128(
- (Uint128High64(lhs) << amount) | (Uint128Low64(lhs) >> (64 - amount)),
- Uint128Low64(lhs) << amount);
- }
- return lhs;
- }
- return MakeUint128(Uint128Low64(lhs) << (amount - 64), 0);
+ return amount >= 64 ? MakeUint128(Uint128Low64(lhs) << (amount - 64), 0)
+ : amount == 0 ? lhs
+ : MakeUint128((Uint128High64(lhs) << amount) |
+ (Uint128Low64(lhs) >> (64 - amount)),
+ Uint128Low64(lhs) << amount);
#endif
}
-inline uint128 operator>>(uint128 lhs, int amount) {
+constexpr uint128 operator>>(uint128 lhs, int amount) {
#ifdef ABSL_HAVE_INTRINSIC_INT128
return static_cast<unsigned __int128>(lhs) >> amount;
#else
// uint64_t shifts of >= 64 are undefined, so we will need some
// special-casing.
- if (amount < 64) {
- if (amount != 0) {
- return MakeUint128(Uint128High64(lhs) >> amount,
- (Uint128Low64(lhs) >> amount) |
- (Uint128High64(lhs) << (64 - amount)));
- }
- return lhs;
- }
- return MakeUint128(0, Uint128High64(lhs) >> (amount - 64));
+ return amount >= 64 ? MakeUint128(0, Uint128High64(lhs) >> (amount - 64))
+ : amount == 0 ? lhs
+ : MakeUint128(Uint128High64(lhs) >> amount,
+ (Uint128Low64(lhs) >> amount) |
+ (Uint128High64(lhs) << (64 - amount)));
#endif
}
-inline uint128 operator+(uint128 lhs, uint128 rhs) {
- uint128 result = MakeUint128(Uint128High64(lhs) + Uint128High64(rhs),
- Uint128Low64(lhs) + Uint128Low64(rhs));
- if (Uint128Low64(result) < Uint128Low64(lhs)) { // check for carry
- return MakeUint128(Uint128High64(result) + 1, Uint128Low64(result));
- }
- return result;
+#if !defined(ABSL_HAVE_INTRINSIC_INT128)
+namespace int128_internal {
+constexpr uint128 AddResult(uint128 result, uint128 lhs) {
+ // check for carry
+ return (Uint128Low64(result) < Uint128Low64(lhs))
+ ? MakeUint128(Uint128High64(result) + 1, Uint128Low64(result))
+ : result;
}
+} // namespace int128_internal
+#endif
-inline uint128 operator-(uint128 lhs, uint128 rhs) {
- uint128 result = MakeUint128(Uint128High64(lhs) - Uint128High64(rhs),
- Uint128Low64(lhs) - Uint128Low64(rhs));
- if (Uint128Low64(lhs) < Uint128Low64(rhs)) { // check for carry
- return MakeUint128(Uint128High64(result) - 1, Uint128Low64(result));
- }
- return result;
+constexpr uint128 operator+(uint128 lhs, uint128 rhs) {
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+ return static_cast<unsigned __int128>(lhs) +
+ static_cast<unsigned __int128>(rhs);
+#else
+ return int128_internal::AddResult(
+ MakeUint128(Uint128High64(lhs) + Uint128High64(rhs),
+ Uint128Low64(lhs) + Uint128Low64(rhs)),
+ lhs);
+#endif
+}
+
+#if !defined(ABSL_HAVE_INTRINSIC_INT128)
+namespace int128_internal {
+constexpr uint128 SubstructResult(uint128 result, uint128 lhs, uint128 rhs) {
+ // check for carry
+ return (Uint128Low64(lhs) < Uint128Low64(rhs))
+ ? MakeUint128(Uint128High64(result) - 1, Uint128Low64(result))
+ : result;
+}
+} // namespace int128_internal
+#endif
+
+constexpr uint128 operator-(uint128 lhs, uint128 rhs) {
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+ return static_cast<unsigned __int128>(lhs) -
+ static_cast<unsigned __int128>(rhs);
+#else
+ return int128_internal::SubstructResult(
+ MakeUint128(Uint128High64(lhs) - Uint128High64(rhs),
+ Uint128Low64(lhs) - Uint128Low64(rhs)),
+ lhs, rhs);
+#endif
}
inline uint128 operator*(uint128 lhs, uint128 rhs) {
@@ -922,7 +985,7 @@ inline uint128 operator*(uint128 lhs, uint128 rhs) {
// can be used for uint128 storage.
return static_cast<unsigned __int128>(lhs) *
static_cast<unsigned __int128>(rhs);
-#elif defined(_MSC_VER) && defined(_M_X64)
+#elif defined(_MSC_VER) && defined(_M_X64) && !defined(_M_ARM64EC)
uint64_t carry;
uint64_t low = _umul128(Uint128Low64(lhs), Uint128Low64(rhs), &carry);
return MakeUint128(Uint128Low64(lhs) * Uint128High64(rhs) +
@@ -943,6 +1006,18 @@ inline uint128 operator*(uint128 lhs, uint128 rhs) {
#endif // ABSL_HAVE_INTRINSIC128
}
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+inline uint128 operator/(uint128 lhs, uint128 rhs) {
+ return static_cast<unsigned __int128>(lhs) /
+ static_cast<unsigned __int128>(rhs);
+}
+
+inline uint128 operator%(uint128 lhs, uint128 rhs) {
+ return static_cast<unsigned __int128>(lhs) %
+ static_cast<unsigned __int128>(rhs);
+}
+#endif
+
// Increment/decrement operators.
inline uint128 uint128::operator++(int) {
@@ -972,27 +1047,19 @@ constexpr int128 MakeInt128(int64_t high, uint64_t low) {
}
// Assignment from integer types.
-inline int128& int128::operator=(int v) {
- return *this = int128(v);
-}
+inline int128& int128::operator=(int v) { return *this = int128(v); }
-inline int128& int128::operator=(unsigned int v) {
- return *this = int128(v);
-}
+inline int128& int128::operator=(unsigned int v) { return *this = int128(v); }
inline int128& int128::operator=(long v) { // NOLINT(runtime/int)
return *this = int128(v);
}
// NOLINTNEXTLINE(runtime/int)
-inline int128& int128::operator=(unsigned long v) {
- return *this = int128(v);
-}
+inline int128& int128::operator=(unsigned long v) { return *this = int128(v); }
// NOLINTNEXTLINE(runtime/int)
-inline int128& int128::operator=(long long v) {
- return *this = int128(v);
-}
+inline int128& int128::operator=(long long v) { return *this = int128(v); }
// NOLINTNEXTLINE(runtime/int)
inline int128& int128::operator=(unsigned long long v) {
@@ -1000,17 +1067,17 @@ inline int128& int128::operator=(unsigned long long v) {
}
// Arithmetic operators.
-
-int128 operator+(int128 lhs, int128 rhs);
-int128 operator-(int128 lhs, int128 rhs);
+constexpr int128 operator-(int128 v);
+constexpr int128 operator+(int128 lhs, int128 rhs);
+constexpr int128 operator-(int128 lhs, int128 rhs);
int128 operator*(int128 lhs, int128 rhs);
int128 operator/(int128 lhs, int128 rhs);
int128 operator%(int128 lhs, int128 rhs);
-int128 operator|(int128 lhs, int128 rhs);
-int128 operator&(int128 lhs, int128 rhs);
-int128 operator^(int128 lhs, int128 rhs);
-int128 operator<<(int128 lhs, int amount);
-int128 operator>>(int128 lhs, int amount);
+constexpr int128 operator|(int128 lhs, int128 rhs);
+constexpr int128 operator&(int128 lhs, int128 rhs);
+constexpr int128 operator^(int128 lhs, int128 rhs);
+constexpr int128 operator<<(int128 lhs, int amount);
+constexpr int128 operator>>(int128 lhs, int amount);
inline int128& int128::operator+=(int128 other) {
*this = *this + other;
@@ -1062,6 +1129,9 @@ inline int128& int128::operator>>=(int amount) {
return *this;
}
+// Forward declaration for comparison operators.
+constexpr bool operator!=(int128 lhs, int128 rhs);
+
namespace int128_internal {
// Casts from unsigned to signed while preserving the underlying binary
diff --git a/abseil-cpp/absl/numeric/int128_have_intrinsic.inc b/abseil-cpp/absl/numeric/int128_have_intrinsic.inc
index d6c76dd..6f1ac64 100644
--- a/abseil-cpp/absl/numeric/int128_have_intrinsic.inc
+++ b/abseil-cpp/absl/numeric/int128_have_intrinsic.inc
@@ -155,16 +155,13 @@ constexpr int128::operator unsigned __int128() const {
#if defined(__clang__) && !defined(__ppc64__)
inline int128::operator float() const { return static_cast<float>(v_); }
-inline int128::operator double () const { return static_cast<double>(v_); }
+inline int128::operator double() const { return static_cast<double>(v_); }
inline int128::operator long double() const {
return static_cast<long double>(v_);
}
#else // Clang on PowerPC
-// Forward declaration for conversion operators to floating point types.
-int128 operator-(int128 v);
-bool operator!=(int128 lhs, int128 rhs);
inline int128::operator float() const {
// We must convert the absolute value and then negate as needed, because
@@ -199,51 +196,45 @@ inline int128::operator long double() const {
// Comparison operators.
-inline bool operator==(int128 lhs, int128 rhs) {
+constexpr bool operator==(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) == static_cast<__int128>(rhs);
}
-inline bool operator!=(int128 lhs, int128 rhs) {
+constexpr bool operator!=(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) != static_cast<__int128>(rhs);
}
-inline bool operator<(int128 lhs, int128 rhs) {
+constexpr bool operator<(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) < static_cast<__int128>(rhs);
}
-inline bool operator>(int128 lhs, int128 rhs) {
+constexpr bool operator>(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) > static_cast<__int128>(rhs);
}
-inline bool operator<=(int128 lhs, int128 rhs) {
+constexpr bool operator<=(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) <= static_cast<__int128>(rhs);
}
-inline bool operator>=(int128 lhs, int128 rhs) {
+constexpr bool operator>=(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) >= static_cast<__int128>(rhs);
}
// Unary operators.
-inline int128 operator-(int128 v) {
- return -static_cast<__int128>(v);
-}
+constexpr int128 operator-(int128 v) { return -static_cast<__int128>(v); }
-inline bool operator!(int128 v) {
- return !static_cast<__int128>(v);
-}
+constexpr bool operator!(int128 v) { return !static_cast<__int128>(v); }
-inline int128 operator~(int128 val) {
- return ~static_cast<__int128>(val);
-}
+constexpr int128 operator~(int128 val) { return ~static_cast<__int128>(val); }
// Arithmetic operators.
-inline int128 operator+(int128 lhs, int128 rhs) {
+constexpr int128 operator+(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) + static_cast<__int128>(rhs);
}
-inline int128 operator-(int128 lhs, int128 rhs) {
+constexpr int128 operator-(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) - static_cast<__int128>(rhs);
}
@@ -281,22 +272,22 @@ inline int128& int128::operator--() {
return *this;
}
-inline int128 operator|(int128 lhs, int128 rhs) {
+constexpr int128 operator|(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) | static_cast<__int128>(rhs);
}
-inline int128 operator&(int128 lhs, int128 rhs) {
+constexpr int128 operator&(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) & static_cast<__int128>(rhs);
}
-inline int128 operator^(int128 lhs, int128 rhs) {
+constexpr int128 operator^(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) ^ static_cast<__int128>(rhs);
}
-inline int128 operator<<(int128 lhs, int amount) {
+constexpr int128 operator<<(int128 lhs, int amount) {
return static_cast<__int128>(lhs) << amount;
}
-inline int128 operator>>(int128 lhs, int amount) {
+constexpr int128 operator>>(int128 lhs, int amount) {
return static_cast<__int128>(lhs) >> amount;
}
diff --git a/abseil-cpp/absl/numeric/int128_no_intrinsic.inc b/abseil-cpp/absl/numeric/int128_no_intrinsic.inc
index c753771..6f5d837 100644
--- a/abseil-cpp/absl/numeric/int128_no_intrinsic.inc
+++ b/abseil-cpp/absl/numeric/int128_no_intrinsic.inc
@@ -23,8 +23,7 @@ constexpr int64_t Int128High64(int128 v) { return v.hi_; }
#if defined(ABSL_IS_LITTLE_ENDIAN)
-constexpr int128::int128(int64_t high, uint64_t low) :
- lo_(low), hi_(high) {}
+constexpr int128::int128(int64_t high, uint64_t low) : lo_(low), hi_(high) {}
constexpr int128::int128(int v)
: lo_{static_cast<uint64_t>(v)}, hi_{v < 0 ? ~int64_t{0} : 0} {}
@@ -44,8 +43,7 @@ constexpr int128::int128(uint128 v)
#elif defined(ABSL_IS_BIG_ENDIAN)
-constexpr int128::int128(int64_t high, uint64_t low) :
- hi_{high}, lo_{low} {}
+constexpr int128::int128(int64_t high, uint64_t low) : hi_{high}, lo_{low} {}
constexpr int128::int128(int v)
: hi_{v < 0 ? ~int64_t{0} : 0}, lo_{static_cast<uint64_t>(v)} {}
@@ -134,10 +132,6 @@ constexpr int128::operator unsigned long long() const { // NOLINT(runtime/int)
return static_cast<unsigned long long>(lo_); // NOLINT(runtime/int)
}
-// Forward declaration for conversion operators to floating point types.
-int128 operator-(int128 v);
-bool operator!=(int128 lhs, int128 rhs);
-
inline int128::operator float() const {
// We must convert the absolute value and then negate as needed, because
// floating point types are typically sign-magnitude. Otherwise, the
@@ -169,76 +163,80 @@ inline int128::operator long double() const {
// Comparison operators.
-inline bool operator==(int128 lhs, int128 rhs) {
+constexpr bool operator==(int128 lhs, int128 rhs) {
return (Int128Low64(lhs) == Int128Low64(rhs) &&
Int128High64(lhs) == Int128High64(rhs));
}
-inline bool operator!=(int128 lhs, int128 rhs) {
- return !(lhs == rhs);
-}
+constexpr bool operator!=(int128 lhs, int128 rhs) { return !(lhs == rhs); }
-inline bool operator<(int128 lhs, int128 rhs) {
+constexpr bool operator<(int128 lhs, int128 rhs) {
return (Int128High64(lhs) == Int128High64(rhs))
? (Int128Low64(lhs) < Int128Low64(rhs))
: (Int128High64(lhs) < Int128High64(rhs));
}
-inline bool operator>(int128 lhs, int128 rhs) {
+constexpr bool operator>(int128 lhs, int128 rhs) {
return (Int128High64(lhs) == Int128High64(rhs))
? (Int128Low64(lhs) > Int128Low64(rhs))
: (Int128High64(lhs) > Int128High64(rhs));
}
-inline bool operator<=(int128 lhs, int128 rhs) {
- return !(lhs > rhs);
-}
+constexpr bool operator<=(int128 lhs, int128 rhs) { return !(lhs > rhs); }
-inline bool operator>=(int128 lhs, int128 rhs) {
- return !(lhs < rhs);
-}
+constexpr bool operator>=(int128 lhs, int128 rhs) { return !(lhs < rhs); }
// Unary operators.
-inline int128 operator-(int128 v) {
- int64_t hi = ~Int128High64(v);
- uint64_t lo = ~Int128Low64(v) + 1;
- if (lo == 0) ++hi; // carry
- return MakeInt128(hi, lo);
+constexpr int128 operator-(int128 v) {
+ return MakeInt128(~Int128High64(v) + (Int128Low64(v) == 0),
+ ~Int128Low64(v) + 1);
}
-inline bool operator!(int128 v) {
+constexpr bool operator!(int128 v) {
return !Int128Low64(v) && !Int128High64(v);
}
-inline int128 operator~(int128 val) {
+constexpr int128 operator~(int128 val) {
return MakeInt128(~Int128High64(val), ~Int128Low64(val));
}
// Arithmetic operators.
-inline int128 operator+(int128 lhs, int128 rhs) {
- int128 result = MakeInt128(Int128High64(lhs) + Int128High64(rhs),
- Int128Low64(lhs) + Int128Low64(rhs));
- if (Int128Low64(result) < Int128Low64(lhs)) { // check for carry
- return MakeInt128(Int128High64(result) + 1, Int128Low64(result));
- }
- return result;
+namespace int128_internal {
+constexpr int128 SignedAddResult(int128 result, int128 lhs) {
+ // check for carry
+ return (Int128Low64(result) < Int128Low64(lhs))
+ ? MakeInt128(Int128High64(result) + 1, Int128Low64(result))
+ : result;
+}
+} // namespace int128_internal
+constexpr int128 operator+(int128 lhs, int128 rhs) {
+ return int128_internal::SignedAddResult(
+ MakeInt128(Int128High64(lhs) + Int128High64(rhs),
+ Int128Low64(lhs) + Int128Low64(rhs)),
+ lhs);
}
-inline int128 operator-(int128 lhs, int128 rhs) {
- int128 result = MakeInt128(Int128High64(lhs) - Int128High64(rhs),
- Int128Low64(lhs) - Int128Low64(rhs));
- if (Int128Low64(lhs) < Int128Low64(rhs)) { // check for carry
- return MakeInt128(Int128High64(result) - 1, Int128Low64(result));
- }
- return result;
+namespace int128_internal {
+constexpr int128 SignedSubstructResult(int128 result, int128 lhs, int128 rhs) {
+ // check for carry
+ return (Int128Low64(lhs) < Int128Low64(rhs))
+ ? MakeInt128(Int128High64(result) - 1, Int128Low64(result))
+ : result;
+}
+} // namespace int128_internal
+constexpr int128 operator-(int128 lhs, int128 rhs) {
+ return int128_internal::SignedSubstructResult(
+ MakeInt128(Int128High64(lhs) - Int128High64(rhs),
+ Int128Low64(lhs) - Int128Low64(rhs)),
+ lhs, rhs);
}
inline int128 operator*(int128 lhs, int128 rhs) {
- uint128 result = uint128(lhs) * rhs;
- return MakeInt128(int128_internal::BitCastToSigned(Uint128High64(result)),
- Uint128Low64(result));
+ return MakeInt128(
+ int128_internal::BitCastToSigned(Uint128High64(uint128(lhs) * rhs)),
+ Uint128Low64(uint128(lhs) * rhs));
}
inline int128 int128::operator++(int) {
@@ -263,46 +261,68 @@ inline int128& int128::operator--() {
return *this;
}
-inline int128 operator|(int128 lhs, int128 rhs) {
+constexpr int128 operator|(int128 lhs, int128 rhs) {
return MakeInt128(Int128High64(lhs) | Int128High64(rhs),
Int128Low64(lhs) | Int128Low64(rhs));
}
-inline int128 operator&(int128 lhs, int128 rhs) {
+constexpr int128 operator&(int128 lhs, int128 rhs) {
return MakeInt128(Int128High64(lhs) & Int128High64(rhs),
Int128Low64(lhs) & Int128Low64(rhs));
}
-inline int128 operator^(int128 lhs, int128 rhs) {
+constexpr int128 operator^(int128 lhs, int128 rhs) {
return MakeInt128(Int128High64(lhs) ^ Int128High64(rhs),
Int128Low64(lhs) ^ Int128Low64(rhs));
}
-inline int128 operator<<(int128 lhs, int amount) {
- // uint64_t shifts of >= 64 are undefined, so we need some special-casing.
- if (amount < 64) {
- if (amount != 0) {
- return MakeInt128(
- (Int128High64(lhs) << amount) |
- static_cast<int64_t>(Int128Low64(lhs) >> (64 - amount)),
- Int128Low64(lhs) << amount);
- }
+constexpr int128 operator<<(int128 lhs, int amount) {
+ // int64_t shifts of >= 63 are undefined, so we need some special-casing.
+ assert(amount >= 0 && amount < 127);
+ if (amount <= 0) {
return lhs;
+ } else if (amount < 63) {
+ return MakeInt128(
+ (Int128High64(lhs) << amount) |
+ static_cast<int64_t>(Int128Low64(lhs) >> (64 - amount)),
+ Int128Low64(lhs) << amount);
+ } else if (amount == 63) {
+ return MakeInt128(((Int128High64(lhs) << 32) << 31) |
+ static_cast<int64_t>(Int128Low64(lhs) >> 1),
+ (Int128Low64(lhs) << 32) << 31);
+ } else if (amount == 127) {
+ return MakeInt128(static_cast<int64_t>(Int128Low64(lhs) << 63), 0);
+ } else if (amount > 127) {
+ return MakeInt128(0, 0);
+ } else {
+ // amount >= 64 && amount < 127
+ return MakeInt128(static_cast<int64_t>(Int128Low64(lhs) << (amount - 64)),
+ 0);
}
- return MakeInt128(static_cast<int64_t>(Int128Low64(lhs) << (amount - 64)), 0);
-}
-
-inline int128 operator>>(int128 lhs, int amount) {
- // uint64_t shifts of >= 64 are undefined, so we need some special-casing.
- if (amount < 64) {
- if (amount != 0) {
- return MakeInt128(
- Int128High64(lhs) >> amount,
- (Int128Low64(lhs) >> amount) |
- (static_cast<uint64_t>(Int128High64(lhs)) << (64 - amount)));
- }
+}
+
+constexpr int128 operator>>(int128 lhs, int amount) {
+ // int64_t shifts of >= 63 are undefined, so we need some special-casing.
+ assert(amount >= 0 && amount < 127);
+ if (amount <= 0) {
return lhs;
+ } else if (amount < 63) {
+ return MakeInt128(
+ Int128High64(lhs) >> amount,
+ Int128Low64(lhs) >> amount | static_cast<uint64_t>(Int128High64(lhs))
+ << (64 - amount));
+ } else if (amount == 63) {
+ return MakeInt128((Int128High64(lhs) >> 32) >> 31,
+ static_cast<uint64_t>(Int128High64(lhs) << 1) |
+ (Int128Low64(lhs) >> 32) >> 31);
+
+ } else if (amount >= 127) {
+ return MakeInt128((Int128High64(lhs) >> 32) >> 31,
+ static_cast<uint64_t>((Int128High64(lhs) >> 32) >> 31));
+ } else {
+ // amount >= 64 && amount < 127
+ return MakeInt128(
+ (Int128High64(lhs) >> 32) >> 31,
+ static_cast<uint64_t>(Int128High64(lhs) >> (amount - 64)));
}
- return MakeInt128(0,
- static_cast<uint64_t>(Int128High64(lhs) >> (amount - 64)));
}
diff --git a/abseil-cpp/absl/numeric/int128_stream_test.cc b/abseil-cpp/absl/numeric/int128_stream_test.cc
index 479ad66..bd93784 100644
--- a/abseil-cpp/absl/numeric/int128_stream_test.cc
+++ b/abseil-cpp/absl/numeric/int128_stream_test.cc
@@ -18,6 +18,7 @@
#include <string>
#include "gtest/gtest.h"
+#include "absl/strings/str_cat.h"
namespace {
@@ -76,16 +77,6 @@ std::string StreamFormatToString(std::ios_base::fmtflags flags,
return msg.str();
}
-void CheckUint128Case(const Uint128TestCase& test_case) {
- std::ostringstream os;
- os.flags(test_case.flags);
- os.width(test_case.width);
- os.fill(kFill);
- os << test_case.value;
- SCOPED_TRACE(StreamFormatToString(test_case.flags, test_case.width));
- EXPECT_EQ(test_case.expected, os.str());
-}
-
constexpr std::ios::fmtflags kDec = std::ios::dec;
constexpr std::ios::fmtflags kOct = std::ios::oct;
constexpr std::ios::fmtflags kHex = std::ios::hex;
@@ -96,6 +87,19 @@ constexpr std::ios::fmtflags kUpper = std::ios::uppercase;
constexpr std::ios::fmtflags kBase = std::ios::showbase;
constexpr std::ios::fmtflags kPos = std::ios::showpos;
+void CheckUint128Case(const Uint128TestCase& test_case) {
+ if (test_case.flags == kDec && test_case.width == 0) {
+ EXPECT_EQ(absl::StrCat(test_case.value), test_case.expected);
+ }
+ std::ostringstream os;
+ os.flags(test_case.flags);
+ os.width(test_case.width);
+ os.fill(kFill);
+ os << test_case.value;
+ SCOPED_TRACE(StreamFormatToString(test_case.flags, test_case.width));
+ EXPECT_EQ(os.str(), test_case.expected);
+}
+
TEST(Uint128, OStreamValueTest) {
CheckUint128Case({1, kDec, /*width = */ 0, "1"});
CheckUint128Case({1, kOct, /*width = */ 0, "1"});
@@ -155,13 +159,16 @@ struct Int128TestCase {
};
void CheckInt128Case(const Int128TestCase& test_case) {
+ if (test_case.flags == kDec && test_case.width == 0) {
+ EXPECT_EQ(absl::StrCat(test_case.value), test_case.expected);
+ }
std::ostringstream os;
os.flags(test_case.flags);
os.width(test_case.width);
os.fill(kFill);
os << test_case.value;
SCOPED_TRACE(StreamFormatToString(test_case.flags, test_case.width));
- EXPECT_EQ(test_case.expected, os.str());
+ EXPECT_EQ(os.str(), test_case.expected);
}
TEST(Int128, OStreamValueTest) {
@@ -194,35 +201,33 @@ TEST(Int128, OStreamValueTest) {
{absl::MakeInt128(1, 0), kHex, /*width = */ 0, "10000000000000000"});
CheckInt128Case({absl::MakeInt128(std::numeric_limits<int64_t>::max(),
std::numeric_limits<uint64_t>::max()),
- std::ios::dec, /*width = */ 0,
+ kDec, /*width = */ 0,
"170141183460469231731687303715884105727"});
CheckInt128Case({absl::MakeInt128(std::numeric_limits<int64_t>::max(),
std::numeric_limits<uint64_t>::max()),
- std::ios::oct, /*width = */ 0,
+ kOct, /*width = */ 0,
"1777777777777777777777777777777777777777777"});
CheckInt128Case({absl::MakeInt128(std::numeric_limits<int64_t>::max(),
std::numeric_limits<uint64_t>::max()),
- std::ios::hex, /*width = */ 0,
- "7fffffffffffffffffffffffffffffff"});
+ kHex, /*width = */ 0, "7fffffffffffffffffffffffffffffff"});
CheckInt128Case({absl::MakeInt128(std::numeric_limits<int64_t>::min(), 0),
- std::ios::dec, /*width = */ 0,
+ kDec, /*width = */ 0,
"-170141183460469231731687303715884105728"});
CheckInt128Case({absl::MakeInt128(std::numeric_limits<int64_t>::min(), 0),
- std::ios::oct, /*width = */ 0,
+ kOct, /*width = */ 0,
"2000000000000000000000000000000000000000000"});
CheckInt128Case({absl::MakeInt128(std::numeric_limits<int64_t>::min(), 0),
- std::ios::hex, /*width = */ 0,
- "80000000000000000000000000000000"});
- CheckInt128Case({-1, std::ios::dec, /*width = */ 0, "-1"});
- CheckInt128Case({-1, std::ios::oct, /*width = */ 0,
+ kHex, /*width = */ 0, "80000000000000000000000000000000"});
+ CheckInt128Case({-1, kDec, /*width = */ 0, "-1"});
+ CheckInt128Case({-1, kOct, /*width = */ 0,
"3777777777777777777777777777777777777777777"});
CheckInt128Case(
- {-1, std::ios::hex, /*width = */ 0, "ffffffffffffffffffffffffffffffff"});
- CheckInt128Case({-12345, std::ios::dec, /*width = */ 0, "-12345"});
- CheckInt128Case({-12345, std::ios::oct, /*width = */ 0,
+ {-1, kHex, /*width = */ 0, "ffffffffffffffffffffffffffffffff"});
+ CheckInt128Case({-12345, kDec, /*width = */ 0, "-12345"});
+ CheckInt128Case({-12345, kOct, /*width = */ 0,
"3777777777777777777777777777777777777747707"});
- CheckInt128Case({-12345, std::ios::hex, /*width = */ 0,
- "ffffffffffffffffffffffffffffcfc7"});
+ CheckInt128Case(
+ {-12345, kHex, /*width = */ 0, "ffffffffffffffffffffffffffffcfc7"});
}
std::vector<Int128TestCase> GetInt128FormatCases();
diff --git a/abseil-cpp/absl/numeric/int128_test.cc b/abseil-cpp/absl/numeric/int128_test.cc
index bc86c71..01e3eb5 100644
--- a/abseil-cpp/absl/numeric/int128_test.cc
+++ b/abseil-cpp/absl/numeric/int128_test.cc
@@ -32,6 +32,8 @@
#pragma warning(disable:4146)
#endif
+#define MAKE_INT128(HI, LO) absl::MakeInt128(static_cast<int64_t>(HI), LO)
+
namespace {
template <typename T>
@@ -226,6 +228,11 @@ TEST(Uint128, AllTests) {
EXPECT_EQ(test >>= 1, one);
EXPECT_EQ(test <<= 1, two);
+ EXPECT_EQ(big, +big);
+ EXPECT_EQ(two, +two);
+ EXPECT_EQ(absl::Uint128Max(), +absl::Uint128Max());
+ EXPECT_EQ(zero, +zero);
+
EXPECT_EQ(big, -(-big));
EXPECT_EQ(two, -((-one) - 1));
EXPECT_EQ(absl::Uint128Max(), -one);
@@ -234,6 +241,24 @@ TEST(Uint128, AllTests) {
EXPECT_EQ(absl::Uint128Max(), absl::kuint128max);
}
+TEST(Int128, RightShiftOfNegativeNumbers) {
+ absl::int128 minus_six = -6;
+ absl::int128 minus_three = -3;
+ absl::int128 minus_two = -2;
+ absl::int128 minus_one = -1;
+ if ((-6 >> 1) == -3) {
+ // Right shift is arithmetic (sign propagates)
+ EXPECT_EQ(minus_six >> 1, minus_three);
+ EXPECT_EQ(minus_six >> 2, minus_two);
+ EXPECT_EQ(minus_six >> 65, minus_one);
+ } else {
+ // Right shift is logical (zeros shifted in at MSB)
+ EXPECT_EQ(minus_six >> 1, absl::int128(absl::uint128(minus_six) >> 1));
+ EXPECT_EQ(minus_six >> 2, absl::int128(absl::uint128(minus_six) >> 2));
+ EXPECT_EQ(minus_six >> 65, absl::int128(absl::uint128(minus_six) >> 65));
+ }
+}
+
TEST(Uint128, ConversionTests) {
EXPECT_TRUE(absl::MakeUint128(1, 0));
@@ -260,8 +285,9 @@ TEST(Uint128, ConversionTests) {
EXPECT_EQ(from_precise_double, from_precise_ints);
EXPECT_DOUBLE_EQ(static_cast<double>(from_precise_ints), precise_double);
- double approx_double = 0xffffeeeeddddcccc * std::pow(2.0, 64.0) +
- 0xbbbbaaaa99998888;
+ double approx_double =
+ static_cast<double>(0xffffeeeeddddcccc) * std::pow(2.0, 64.0) +
+ static_cast<double>(0xbbbbaaaa99998888);
absl::uint128 from_approx_double(approx_double);
EXPECT_DOUBLE_EQ(static_cast<double>(from_approx_double), approx_double);
@@ -769,6 +795,19 @@ TEST(Int128, ComparisonTest) {
}
}
+TEST(Int128, UnaryPlusTest) {
+ int64_t values64[] = {0, 1, 12345, 0x4000000000000000,
+ std::numeric_limits<int64_t>::max()};
+ for (int64_t value : values64) {
+ SCOPED_TRACE(::testing::Message() << "value = " << value);
+
+ EXPECT_EQ(absl::int128(value), +absl::int128(value));
+ EXPECT_EQ(absl::int128(-value), +absl::int128(-value));
+ EXPECT_EQ(absl::MakeInt128(value, 0), +absl::MakeInt128(value, 0));
+ EXPECT_EQ(absl::MakeInt128(-value, 0), +absl::MakeInt128(-value, 0));
+ }
+}
+
TEST(Int128, UnaryNegationTest) {
int64_t values64[] = {0, 1, 12345, 0x4000000000000000,
std::numeric_limits<int64_t>::max()};
@@ -1209,6 +1248,27 @@ TEST(Int128, BitwiseShiftTest) {
absl::MakeInt128(uint64_t{1} << j, 0) >>= (j - i));
}
}
+
+ // Manually calculated cases with shift count for positive (val1) and negative
+ // (val2) values
+ absl::int128 val1 = MAKE_INT128(0x123456789abcdef0, 0x123456789abcdef0);
+ absl::int128 val2 = MAKE_INT128(0xfedcba0987654321, 0xfedcba0987654321);
+
+ EXPECT_EQ(val1 << 63, MAKE_INT128(0x91a2b3c4d5e6f78, 0x0));
+ EXPECT_EQ(val1 << 64, MAKE_INT128(0x123456789abcdef0, 0x0));
+ EXPECT_EQ(val2 << 63, MAKE_INT128(0xff6e5d04c3b2a190, 0x8000000000000000));
+ EXPECT_EQ(val2 << 64, MAKE_INT128(0xfedcba0987654321, 0x0));
+
+ EXPECT_EQ(val1 << 126, MAKE_INT128(0x0, 0x0));
+ EXPECT_EQ(val2 << 126, MAKE_INT128(0x4000000000000000, 0x0));
+
+ EXPECT_EQ(val1 >> 63, MAKE_INT128(0x0, 0x2468acf13579bde0));
+ EXPECT_EQ(val1 >> 64, MAKE_INT128(0x0, 0x123456789abcdef0));
+ EXPECT_EQ(val2 >> 63, MAKE_INT128(0xffffffffffffffff, 0xfdb974130eca8643));
+ EXPECT_EQ(val2 >> 64, MAKE_INT128(0xffffffffffffffff, 0xfedcba0987654321));
+
+ EXPECT_EQ(val1 >> 126, MAKE_INT128(0x0, 0x0));
+ EXPECT_EQ(val2 >> 126, MAKE_INT128(0xffffffffffffffff, 0xffffffffffffffff));
}
TEST(Int128, NumericLimitsTest) {
diff --git a/abseil-cpp/absl/numeric/internal/bits.h b/abseil-cpp/absl/numeric/internal/bits.h
new file mode 100644
index 0000000..bfef06b
--- /dev/null
+++ b/abseil-cpp/absl/numeric/internal/bits.h
@@ -0,0 +1,358 @@
+// Copyright 2020 The Abseil Authors
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// https://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#ifndef ABSL_NUMERIC_INTERNAL_BITS_H_
+#define ABSL_NUMERIC_INTERNAL_BITS_H_
+
+#include <cstdint>
+#include <limits>
+#include <type_traits>
+
+// Clang on Windows has __builtin_clzll; otherwise we need to use the
+// windows intrinsic functions.
+#if defined(_MSC_VER) && !defined(__clang__)
+#include <intrin.h>
+#endif
+
+#include "absl/base/attributes.h"
+#include "absl/base/config.h"
+
+#if defined(__GNUC__) && !defined(__clang__)
+// GCC
+#define ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(x) 1
+#else
+#define ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(x) ABSL_HAVE_BUILTIN(x)
+#endif
+
+#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_popcountl) && \
+ ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_popcountll)
+#define ABSL_INTERNAL_CONSTEXPR_POPCOUNT constexpr
+#define ABSL_INTERNAL_HAS_CONSTEXPR_POPCOUNT 1
+#else
+#define ABSL_INTERNAL_CONSTEXPR_POPCOUNT
+#define ABSL_INTERNAL_HAS_CONSTEXPR_POPCOUNT 0
+#endif
+
+#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_clz) && \
+ ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_clzll)
+#define ABSL_INTERNAL_CONSTEXPR_CLZ constexpr
+#define ABSL_INTERNAL_HAS_CONSTEXPR_CLZ 1
+#else
+#define ABSL_INTERNAL_CONSTEXPR_CLZ
+#define ABSL_INTERNAL_HAS_CONSTEXPR_CLZ 0
+#endif
+
+#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_ctz) && \
+ ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_ctzll)
+#define ABSL_INTERNAL_CONSTEXPR_CTZ constexpr
+#define ABSL_INTERNAL_HAS_CONSTEXPR_CTZ 1
+#else
+#define ABSL_INTERNAL_CONSTEXPR_CTZ
+#define ABSL_INTERNAL_HAS_CONSTEXPR_CTZ 0
+#endif
+
+namespace absl {
+ABSL_NAMESPACE_BEGIN
+namespace numeric_internal {
+
+constexpr bool IsPowerOf2(unsigned int x) noexcept {
+ return x != 0 && (x & (x - 1)) == 0;
+}
+
+template <class T>
+ABSL_MUST_USE_RESULT ABSL_ATTRIBUTE_ALWAYS_INLINE constexpr T RotateRight(
+ T x, int s) noexcept {
+ static_assert(std::is_unsigned<T>::value, "T must be unsigned");
+ static_assert(IsPowerOf2(std::numeric_limits<T>::digits),
+ "T must have a power-of-2 size");
+
+ return static_cast<T>(x >> (s & (std::numeric_limits<T>::digits - 1))) |
+ static_cast<T>(x << ((-s) & (std::numeric_limits<T>::digits - 1)));
+}
+
+template <class T>
+ABSL_MUST_USE_RESULT ABSL_ATTRIBUTE_ALWAYS_INLINE constexpr T RotateLeft(
+ T x, int s) noexcept {
+ static_assert(std::is_unsigned<T>::value, "T must be unsigned");
+ static_assert(IsPowerOf2(std::numeric_limits<T>::digits),
+ "T must have a power-of-2 size");
+
+ return static_cast<T>(x << (s & (std::numeric_limits<T>::digits - 1))) |
+ static_cast<T>(x >> ((-s) & (std::numeric_limits<T>::digits - 1)));
+}
+
+ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_POPCOUNT inline int
+Popcount32(uint32_t x) noexcept {
+#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_popcount)
+ static_assert(sizeof(unsigned int) == sizeof(x),
+ "__builtin_popcount does not take 32-bit arg");
+ return __builtin_popcount(x);
+#else
+ x -= ((x >> 1) & 0x55555555);
+ x = ((x >> 2) & 0x33333333) + (x & 0x33333333);
+ return static_cast<int>((((x + (x >> 4)) & 0xF0F0F0F) * 0x1010101) >> 24);
+#endif
+}
+
+ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_POPCOUNT inline int
+Popcount64(uint64_t x) noexcept {
+#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_popcountll)
+ static_assert(sizeof(unsigned long long) == sizeof(x), // NOLINT(runtime/int)
+ "__builtin_popcount does not take 64-bit arg");
+ return __builtin_popcountll(x);
+#else
+ x -= (x >> 1) & 0x5555555555555555ULL;
+ x = ((x >> 2) & 0x3333333333333333ULL) + (x & 0x3333333333333333ULL);
+ return static_cast<int>(
+ (((x + (x >> 4)) & 0xF0F0F0F0F0F0F0FULL) * 0x101010101010101ULL) >> 56);
+#endif
+}
+
+template <class T>
+ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_POPCOUNT inline int
+Popcount(T x) noexcept {
+ static_assert(std::is_unsigned<T>::value, "T must be unsigned");
+ static_assert(IsPowerOf2(std::numeric_limits<T>::digits),
+ "T must have a power-of-2 size");
+ static_assert(sizeof(x) <= sizeof(uint64_t), "T is too large");
+ return sizeof(x) <= sizeof(uint32_t) ? Popcount32(x) : Popcount64(x);
+}
+
+ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CLZ inline int
+CountLeadingZeroes32(uint32_t x) {
+#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_clz)
+ // Use __builtin_clz, which uses the following instructions:
+ // x86: bsr, lzcnt
+ // ARM64: clz
+ // PPC: cntlzd
+
+ static_assert(sizeof(unsigned int) == sizeof(x),
+ "__builtin_clz does not take 32-bit arg");
+ // Handle 0 as a special case because __builtin_clz(0) is undefined.
+ return x == 0 ? 32 : __builtin_clz(x);
+#elif defined(_MSC_VER) && !defined(__clang__)
+ unsigned long result = 0; // NOLINT(runtime/int)
+ if (_BitScanReverse(&result, x)) {
+ return 31 - result;
+ }
+ return 32;
+#else
+ int zeroes = 28;
+ if (x >> 16) {
+ zeroes -= 16;
+ x >>= 16;
+ }
+ if (x >> 8) {
+ zeroes -= 8;
+ x >>= 8;
+ }
+ if (x >> 4) {
+ zeroes -= 4;
+ x >>= 4;
+ }
+ return "\4\3\2\2\1\1\1\1\0\0\0\0\0\0\0"[x] + zeroes;
+#endif
+}
+
+ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CLZ inline int
+CountLeadingZeroes16(uint16_t x) {
+#if ABSL_HAVE_BUILTIN(__builtin_clzs)
+ static_assert(sizeof(unsigned short) == sizeof(x), // NOLINT(runtime/int)
+ "__builtin_clzs does not take 16-bit arg");
+ return x == 0 ? 16 : __builtin_clzs(x);
+#else
+ return CountLeadingZeroes32(x) - 16;
+#endif
+}
+
+ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CLZ inline int
+CountLeadingZeroes64(uint64_t x) {
+#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_clzll)
+ // Use __builtin_clzll, which uses the following instructions:
+ // x86: bsr, lzcnt
+ // ARM64: clz
+ // PPC: cntlzd
+ static_assert(sizeof(unsigned long long) == sizeof(x), // NOLINT(runtime/int)
+ "__builtin_clzll does not take 64-bit arg");
+
+ // Handle 0 as a special case because __builtin_clzll(0) is undefined.
+ return x == 0 ? 64 : __builtin_clzll(x);
+#elif defined(_MSC_VER) && !defined(__clang__) && \
+ (defined(_M_X64) || defined(_M_ARM64))
+ // MSVC does not have __buitin_clzll. Use _BitScanReverse64.
+ unsigned long result = 0; // NOLINT(runtime/int)
+ if (_BitScanReverse64(&result, x)) {
+ return 63 - result;
+ }
+ return 64;
+#elif defined(_MSC_VER) && !defined(__clang__)
+ // MSVC does not have __buitin_clzll. Compose two calls to _BitScanReverse
+ unsigned long result = 0; // NOLINT(runtime/int)
+ if ((x >> 32) &&
+ _BitScanReverse(&result, static_cast<unsigned long>(x >> 32))) {
+ return 31 - result;
+ }
+ if (_BitScanReverse(&result, static_cast<unsigned long>(x))) {
+ return 63 - result;
+ }
+ return 64;
+#else
+ int zeroes = 60;
+ if (x >> 32) {
+ zeroes -= 32;
+ x >>= 32;
+ }
+ if (x >> 16) {
+ zeroes -= 16;
+ x >>= 16;
+ }
+ if (x >> 8) {
+ zeroes -= 8;
+ x >>= 8;
+ }
+ if (x >> 4) {
+ zeroes -= 4;
+ x >>= 4;
+ }
+ return "\4\3\2\2\1\1\1\1\0\0\0\0\0\0\0"[x] + zeroes;
+#endif
+}
+
+template <typename T>
+ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CLZ inline int
+CountLeadingZeroes(T x) {
+ static_assert(std::is_unsigned<T>::value, "T must be unsigned");
+ static_assert(IsPowerOf2(std::numeric_limits<T>::digits),
+ "T must have a power-of-2 size");
+ static_assert(sizeof(T) <= sizeof(uint64_t), "T too large");
+ return sizeof(T) <= sizeof(uint16_t)
+ ? CountLeadingZeroes16(static_cast<uint16_t>(x)) -
+ (std::numeric_limits<uint16_t>::digits -
+ std::numeric_limits<T>::digits)
+ : (sizeof(T) <= sizeof(uint32_t)
+ ? CountLeadingZeroes32(static_cast<uint32_t>(x)) -
+ (std::numeric_limits<uint32_t>::digits -
+ std::numeric_limits<T>::digits)
+ : CountLeadingZeroes64(x));
+}
+
+ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CTZ inline int
+CountTrailingZeroesNonzero32(uint32_t x) {
+#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_ctz)
+ static_assert(sizeof(unsigned int) == sizeof(x),
+ "__builtin_ctz does not take 32-bit arg");
+ return __builtin_ctz(x);
+#elif defined(_MSC_VER) && !defined(__clang__)
+ unsigned long result = 0; // NOLINT(runtime/int)
+ _BitScanForward(&result, x);
+ return result;
+#else
+ int c = 31;
+ x &= ~x + 1;
+ if (x & 0x0000FFFF) c -= 16;
+ if (x & 0x00FF00FF) c -= 8;
+ if (x & 0x0F0F0F0F) c -= 4;
+ if (x & 0x33333333) c -= 2;
+ if (x & 0x55555555) c -= 1;
+ return c;
+#endif
+}
+
+ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CTZ inline int
+CountTrailingZeroesNonzero64(uint64_t x) {
+#if ABSL_NUMERIC_INTERNAL_HAVE_BUILTIN_OR_GCC(__builtin_ctzll)
+ static_assert(sizeof(unsigned long long) == sizeof(x), // NOLINT(runtime/int)
+ "__builtin_ctzll does not take 64-bit arg");
+ return __builtin_ctzll(x);
+#elif defined(_MSC_VER) && !defined(__clang__) && \
+ (defined(_M_X64) || defined(_M_ARM64))
+ unsigned long result = 0; // NOLINT(runtime/int)
+ _BitScanForward64(&result, x);
+ return result;
+#elif defined(_MSC_VER) && !defined(__clang__)
+ unsigned long result = 0; // NOLINT(runtime/int)
+ if (static_cast<uint32_t>(x) == 0) {
+ _BitScanForward(&result, static_cast<unsigned long>(x >> 32));
+ return result + 32;
+ }
+ _BitScanForward(&result, static_cast<unsigned long>(x));
+ return result;
+#else
+ int c = 63;
+ x &= ~x + 1;
+ if (x & 0x00000000FFFFFFFF) c -= 32;
+ if (x & 0x0000FFFF0000FFFF) c -= 16;
+ if (x & 0x00FF00FF00FF00FF) c -= 8;
+ if (x & 0x0F0F0F0F0F0F0F0F) c -= 4;
+ if (x & 0x3333333333333333) c -= 2;
+ if (x & 0x5555555555555555) c -= 1;
+ return c;
+#endif
+}
+
+ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CTZ inline int
+CountTrailingZeroesNonzero16(uint16_t x) {
+#if ABSL_HAVE_BUILTIN(__builtin_ctzs)
+ static_assert(sizeof(unsigned short) == sizeof(x), // NOLINT(runtime/int)
+ "__builtin_ctzs does not take 16-bit arg");
+ return __builtin_ctzs(x);
+#else
+ return CountTrailingZeroesNonzero32(x);
+#endif
+}
+
+template <class T>
+ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CTZ inline int
+CountTrailingZeroes(T x) noexcept {
+ static_assert(std::is_unsigned<T>::value, "T must be unsigned");
+ static_assert(IsPowerOf2(std::numeric_limits<T>::digits),
+ "T must have a power-of-2 size");
+ static_assert(sizeof(T) <= sizeof(uint64_t), "T too large");
+ return x == 0 ? std::numeric_limits<T>::digits
+ : (sizeof(T) <= sizeof(uint16_t)
+ ? CountTrailingZeroesNonzero16(static_cast<uint16_t>(x))
+ : (sizeof(T) <= sizeof(uint32_t)
+ ? CountTrailingZeroesNonzero32(
+ static_cast<uint32_t>(x))
+ : CountTrailingZeroesNonzero64(x)));
+}
+
+// If T is narrower than unsigned, T{1} << bit_width will be promoted. We
+// want to force it to wraparound so that bit_ceil of an invalid value are not
+// core constant expressions.
+template <class T>
+ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CLZ inline
+ typename std::enable_if<std::is_unsigned<T>::value, T>::type
+ BitCeilPromotionHelper(T x, T promotion) {
+ return (T{1} << (x + promotion)) >> promotion;
+}
+
+template <class T>
+ABSL_ATTRIBUTE_ALWAYS_INLINE ABSL_INTERNAL_CONSTEXPR_CLZ inline
+ typename std::enable_if<std::is_unsigned<T>::value, T>::type
+ BitCeilNonPowerOf2(T x) {
+ // If T is narrower than unsigned, it undergoes promotion to unsigned when we
+ // shift. We calculate the number of bits added by the wider type.
+ return BitCeilPromotionHelper(
+ static_cast<T>(std::numeric_limits<T>::digits - CountLeadingZeroes(x)),
+ T{sizeof(T) >= sizeof(unsigned) ? 0
+ : std::numeric_limits<unsigned>::digits -
+ std::numeric_limits<T>::digits});
+}
+
+} // namespace numeric_internal
+ABSL_NAMESPACE_END
+} // namespace absl
+
+#endif // ABSL_NUMERIC_INTERNAL_BITS_H_
diff --git a/abseil-cpp/absl/numeric/internal/representation.h b/abseil-cpp/absl/numeric/internal/representation.h
new file mode 100644
index 0000000..82d332f
--- /dev/null
+++ b/abseil-cpp/absl/numeric/internal/representation.h
@@ -0,0 +1,55 @@
+// Copyright 2021 The Abseil Authors
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// https://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#ifndef ABSL_NUMERIC_INTERNAL_REPRESENTATION_H_
+#define ABSL_NUMERIC_INTERNAL_REPRESENTATION_H_
+
+#include <limits>
+
+#include "absl/base/config.h"
+
+namespace absl {
+ABSL_NAMESPACE_BEGIN
+namespace numeric_internal {
+
+// Returns true iff long double is represented as a pair of doubles added
+// together.
+inline constexpr bool IsDoubleDouble() {
+ // A double-double value always has exactly twice the precision of a double
+ // value--one double carries the high digits and one double carries the low
+ // digits. This property is not shared with any other common floating-point
+ // representation, so this test won't trigger false positives. For reference,
+ // this table gives the number of bits of precision of each common
+ // floating-point representation:
+ //
+ // type precision
+ // IEEE single 24 b
+ // IEEE double 53
+ // x86 long double 64
+ // double-double 106
+ // IEEE quadruple 113
+ //
+ // Note in particular that a quadruple-precision float has greater precision
+ // than a double-double float despite taking up the same amount of memory; the
+ // quad has more of its bits allocated to the mantissa than the double-double
+ // has.
+ return std::numeric_limits<long double>::digits ==
+ 2 * std::numeric_limits<double>::digits;
+}
+
+} // namespace numeric_internal
+ABSL_NAMESPACE_END
+} // namespace absl
+
+#endif // ABSL_NUMERIC_INTERNAL_REPRESENTATION_H_
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