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-rw-r--r--absl/numeric/BUILD.bazel3
-rw-r--r--absl/numeric/CMakeLists.txt1
-rw-r--r--absl/numeric/int128.cc40
-rw-r--r--absl/numeric/int128.h31
-rw-r--r--absl/numeric/int128_benchmark.cc161
5 files changed, 143 insertions, 93 deletions
diff --git a/absl/numeric/BUILD.bazel b/absl/numeric/BUILD.bazel
index e09e52d2..f808f5da 100644
--- a/absl/numeric/BUILD.bazel
+++ b/absl/numeric/BUILD.bazel
@@ -22,7 +22,7 @@ load(
package(default_visibility = ["//visibility:public"])
-licenses(["notice"]) # Apache 2.0
+licenses(["notice"])
cc_library(
name = "int128",
@@ -35,6 +35,7 @@ cc_library(
copts = ABSL_DEFAULT_COPTS,
linkopts = ABSL_DEFAULT_LINKOPTS,
deps = [
+ "//absl/base:bits",
"//absl/base:config",
"//absl/base:core_headers",
],
diff --git a/absl/numeric/CMakeLists.txt b/absl/numeric/CMakeLists.txt
index 242889f0..1e12d80f 100644
--- a/absl/numeric/CMakeLists.txt
+++ b/absl/numeric/CMakeLists.txt
@@ -26,6 +26,7 @@ absl_cc_library(
COPTS
${ABSL_DEFAULT_COPTS}
DEPS
+ absl::bits
absl::config
absl::core_headers
PUBLIC
diff --git a/absl/numeric/int128.cc b/absl/numeric/int128.cc
index b605a870..e21e5e9a 100644
--- a/absl/numeric/int128.cc
+++ b/absl/numeric/int128.cc
@@ -15,6 +15,7 @@
#include "absl/numeric/int128.h"
#include <stddef.h>
+
#include <cassert>
#include <iomanip>
#include <ostream> // NOLINT(readability/streams)
@@ -22,6 +23,9 @@
#include <string>
#include <type_traits>
+#include "absl/base/internal/bits.h"
+#include "absl/base/optimization.h"
+
namespace absl {
ABSL_NAMESPACE_BEGIN
@@ -31,44 +35,26 @@ ABSL_DLL const uint128 kuint128max = MakeUint128(
namespace {
// Returns the 0-based position of the last set bit (i.e., most significant bit)
-// in the given uint64_t. The argument may not be 0.
+// in the given uint128. The argument is not 0.
//
// For example:
// Given: 5 (decimal) == 101 (binary)
// Returns: 2
-#define STEP(T, n, pos, sh) \
- do { \
- if ((n) >= (static_cast<T>(1) << (sh))) { \
- (n) = (n) >> (sh); \
- (pos) |= (sh); \
- } \
- } while (0)
-static inline int Fls64(uint64_t n) {
- assert(n != 0);
- int pos = 0;
- STEP(uint64_t, n, pos, 0x20);
- uint32_t n32 = static_cast<uint32_t>(n);
- STEP(uint32_t, n32, pos, 0x10);
- STEP(uint32_t, n32, pos, 0x08);
- STEP(uint32_t, n32, pos, 0x04);
- return pos + ((uint64_t{0x3333333322221100} >> (n32 << 2)) & 0x3);
-}
-#undef STEP
-
-// Like Fls64() above, but returns the 0-based position of the last set bit
-// (i.e., most significant bit) in the given uint128. The argument may not be 0.
-static inline int Fls128(uint128 n) {
+inline ABSL_ATTRIBUTE_ALWAYS_INLINE int Fls128(uint128 n) {
if (uint64_t hi = Uint128High64(n)) {
- return Fls64(hi) + 64;
+ ABSL_INTERNAL_ASSUME(hi != 0);
+ return 127 - base_internal::CountLeadingZeros64(hi);
}
- return Fls64(Uint128Low64(n));
+ const uint64_t low = Uint128Low64(n);
+ ABSL_INTERNAL_ASSUME(low != 0);
+ return 63 - base_internal::CountLeadingZeros64(low);
}
// Long division/modulo for uint128 implemented using the shift-subtract
// division algorithm adapted from:
// https://stackoverflow.com/questions/5386377/division-without-using
-void DivModImpl(uint128 dividend, uint128 divisor, uint128* quotient_ret,
- uint128* remainder_ret) {
+inline void DivModImpl(uint128 dividend, uint128 divisor, uint128* quotient_ret,
+ uint128* remainder_ret) {
assert(divisor != 0);
if (divisor > dividend) {
diff --git a/absl/numeric/int128.h b/absl/numeric/int128.h
index 636e3a5b..0dd814a8 100644
--- a/absl/numeric/int128.h
+++ b/absl/numeric/int128.h
@@ -792,28 +792,21 @@ inline bool operator!=(uint128 lhs, uint128 rhs) {
}
inline bool operator<(uint128 lhs, uint128 rhs) {
+#ifdef ABSL_HAVE_INTRINSIC_INT128
+ return static_cast<unsigned __int128>(lhs) <
+ static_cast<unsigned __int128>(rhs);
+#else
return (Uint128High64(lhs) == Uint128High64(rhs))
? (Uint128Low64(lhs) < Uint128Low64(rhs))
: (Uint128High64(lhs) < Uint128High64(rhs));
+#endif
}
-inline bool operator>(uint128 lhs, uint128 rhs) {
- return (Uint128High64(lhs) == Uint128High64(rhs))
- ? (Uint128Low64(lhs) > Uint128Low64(rhs))
- : (Uint128High64(lhs) > Uint128High64(rhs));
-}
+inline bool operator>(uint128 lhs, uint128 rhs) { return rhs < lhs; }
-inline bool operator<=(uint128 lhs, uint128 rhs) {
- return (Uint128High64(lhs) == Uint128High64(rhs))
- ? (Uint128Low64(lhs) <= Uint128Low64(rhs))
- : (Uint128High64(lhs) <= Uint128High64(rhs));
-}
+inline bool operator<=(uint128 lhs, uint128 rhs) { return !(rhs < lhs); }
-inline bool operator>=(uint128 lhs, uint128 rhs) {
- return (Uint128High64(lhs) == Uint128High64(rhs))
- ? (Uint128Low64(lhs) >= Uint128Low64(rhs))
- : (Uint128High64(lhs) >= Uint128High64(rhs));
-}
+inline bool operator>=(uint128 lhs, uint128 rhs) { return !(lhs < rhs); }
// Unary operators.
@@ -870,6 +863,9 @@ inline uint128& uint128::operator^=(uint128 other) {
// Arithmetic operators.
inline 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) {
@@ -881,9 +877,13 @@ inline uint128 operator<<(uint128 lhs, int amount) {
return lhs;
}
return MakeUint128(Uint128Low64(lhs) << (amount - 64), 0);
+#endif
}
inline 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) {
@@ -895,6 +895,7 @@ inline uint128 operator>>(uint128 lhs, int amount) {
return lhs;
}
return MakeUint128(0, Uint128High64(lhs) >> (amount - 64));
+#endif
}
inline uint128 operator+(uint128 lhs, uint128 rhs) {
diff --git a/absl/numeric/int128_benchmark.cc b/absl/numeric/int128_benchmark.cc
index a5502d92..eab1515c 100644
--- a/absl/numeric/int128_benchmark.cc
+++ b/absl/numeric/int128_benchmark.cc
@@ -12,15 +12,15 @@
// See the License for the specific language governing permissions and
// limitations under the License.
-#include "absl/numeric/int128.h"
-
#include <algorithm>
#include <cstdint>
+#include <limits>
#include <random>
#include <vector>
#include "benchmark/benchmark.h"
#include "absl/base/config.h"
+#include "absl/numeric/int128.h"
namespace {
@@ -32,57 +32,85 @@ std::mt19937 MakeRandomEngine() {
return std::mt19937(seed);
}
-std::vector<std::pair<absl::uint128, absl::uint128>>
-GetRandomClass128SampleUniformDivisor() {
- std::vector<std::pair<absl::uint128, absl::uint128>> values;
+template <typename T,
+ typename H = typename std::conditional<
+ std::numeric_limits<T>::is_signed, int64_t, uint64_t>::type>
+std::vector<std::pair<T, T>> GetRandomClass128SampleUniformDivisor() {
+ std::vector<std::pair<T, T>> values;
std::mt19937 random = MakeRandomEngine();
- std::uniform_int_distribution<uint64_t> uniform_uint64;
+ std::uniform_int_distribution<H> uniform_h;
values.reserve(kSampleSize);
for (size_t i = 0; i < kSampleSize; ++i) {
- absl::uint128 a =
- absl::MakeUint128(uniform_uint64(random), uniform_uint64(random));
- absl::uint128 b =
- absl::MakeUint128(uniform_uint64(random), uniform_uint64(random));
- values.emplace_back(std::max(a, b),
- std::max(absl::uint128(2), std::min(a, b)));
+ T a{absl::MakeUint128(uniform_h(random), uniform_h(random))};
+ T b{absl::MakeUint128(uniform_h(random), uniform_h(random))};
+ values.emplace_back(std::max(a, b), std::max(T(2), std::min(a, b)));
}
return values;
}
+template <typename T>
void BM_DivideClass128UniformDivisor(benchmark::State& state) {
- auto values = GetRandomClass128SampleUniformDivisor();
+ auto values = GetRandomClass128SampleUniformDivisor<T>();
while (state.KeepRunningBatch(values.size())) {
for (const auto& pair : values) {
benchmark::DoNotOptimize(pair.first / pair.second);
}
}
}
-BENCHMARK(BM_DivideClass128UniformDivisor);
+BENCHMARK_TEMPLATE(BM_DivideClass128UniformDivisor, absl::uint128);
+BENCHMARK_TEMPLATE(BM_DivideClass128UniformDivisor, absl::int128);
+
+template <typename T>
+void BM_RemainderClass128UniformDivisor(benchmark::State& state) {
+ auto values = GetRandomClass128SampleUniformDivisor<T>();
+ while (state.KeepRunningBatch(values.size())) {
+ for (const auto& pair : values) {
+ benchmark::DoNotOptimize(pair.first % pair.second);
+ }
+ }
+}
+BENCHMARK_TEMPLATE(BM_RemainderClass128UniformDivisor, absl::uint128);
+BENCHMARK_TEMPLATE(BM_RemainderClass128UniformDivisor, absl::int128);
-std::vector<std::pair<absl::uint128, uint64_t>>
-GetRandomClass128SampleSmallDivisor() {
- std::vector<std::pair<absl::uint128, uint64_t>> values;
+template <typename T,
+ typename H = typename std::conditional<
+ std::numeric_limits<T>::is_signed, int64_t, uint64_t>::type>
+std::vector<std::pair<T, H>> GetRandomClass128SampleSmallDivisor() {
+ std::vector<std::pair<T, H>> values;
std::mt19937 random = MakeRandomEngine();
- std::uniform_int_distribution<uint64_t> uniform_uint64;
+ std::uniform_int_distribution<H> uniform_h;
values.reserve(kSampleSize);
for (size_t i = 0; i < kSampleSize; ++i) {
- absl::uint128 a =
- absl::MakeUint128(uniform_uint64(random), uniform_uint64(random));
- uint64_t b = std::max(uint64_t{2}, uniform_uint64(random));
- values.emplace_back(std::max(a, absl::uint128(b)), b);
+ T a{absl::MakeUint128(uniform_h(random), uniform_h(random))};
+ H b{std::max(H{2}, uniform_h(random))};
+ values.emplace_back(std::max(a, T(b)), b);
}
return values;
}
+template <typename T>
void BM_DivideClass128SmallDivisor(benchmark::State& state) {
- auto values = GetRandomClass128SampleSmallDivisor();
+ auto values = GetRandomClass128SampleSmallDivisor<T>();
while (state.KeepRunningBatch(values.size())) {
for (const auto& pair : values) {
benchmark::DoNotOptimize(pair.first / pair.second);
}
}
}
-BENCHMARK(BM_DivideClass128SmallDivisor);
+BENCHMARK_TEMPLATE(BM_DivideClass128SmallDivisor, absl::uint128);
+BENCHMARK_TEMPLATE(BM_DivideClass128SmallDivisor, absl::int128);
+
+template <typename T>
+void BM_RemainderClass128SmallDivisor(benchmark::State& state) {
+ auto values = GetRandomClass128SampleSmallDivisor<T>();
+ while (state.KeepRunningBatch(values.size())) {
+ for (const auto& pair : values) {
+ benchmark::DoNotOptimize(pair.first % pair.second);
+ }
+ }
+}
+BENCHMARK_TEMPLATE(BM_RemainderClass128SmallDivisor, absl::uint128);
+BENCHMARK_TEMPLATE(BM_RemainderClass128SmallDivisor, absl::int128);
std::vector<std::pair<absl::uint128, absl::uint128>> GetRandomClass128Sample() {
std::vector<std::pair<absl::uint128, absl::uint128>> values;
@@ -121,74 +149,107 @@ BENCHMARK(BM_AddClass128);
// Some implementations of <random> do not support __int128 when it is
// available, so we make our own uniform_int_distribution-like type.
+template <typename T,
+ typename H = typename std::conditional<
+ std::is_same<T, __int128>::value, int64_t, uint64_t>::type>
class UniformIntDistribution128 {
public:
// NOLINTNEXTLINE: mimicking std::uniform_int_distribution API
- unsigned __int128 operator()(std::mt19937& generator) {
- return (static_cast<unsigned __int128>(dist64_(generator)) << 64) |
- dist64_(generator);
+ T operator()(std::mt19937& generator) {
+ return (static_cast<T>(dist64_(generator)) << 64) | dist64_(generator);
}
private:
- std::uniform_int_distribution<uint64_t> dist64_;
+ std::uniform_int_distribution<H> dist64_;
};
-std::vector<std::pair<unsigned __int128, unsigned __int128>>
-GetRandomIntrinsic128SampleUniformDivisor() {
- std::vector<std::pair<unsigned __int128, unsigned __int128>> values;
+template <typename T,
+ typename H = typename std::conditional<
+ std::is_same<T, __int128>::value, int64_t, uint64_t>::type>
+std::vector<std::pair<T, T>> GetRandomIntrinsic128SampleUniformDivisor() {
+ std::vector<std::pair<T, T>> values;
std::mt19937 random = MakeRandomEngine();
- UniformIntDistribution128 uniform_uint128;
+ UniformIntDistribution128<T> uniform_128;
values.reserve(kSampleSize);
for (size_t i = 0; i < kSampleSize; ++i) {
- unsigned __int128 a = uniform_uint128(random);
- unsigned __int128 b = uniform_uint128(random);
- values.emplace_back(
- std::max(a, b),
- std::max(static_cast<unsigned __int128>(2), std::min(a, b)));
+ T a = uniform_128(random);
+ T b = uniform_128(random);
+ values.emplace_back(std::max(a, b),
+ std::max(static_cast<T>(2), std::min(a, b)));
}
return values;
}
+template <typename T>
void BM_DivideIntrinsic128UniformDivisor(benchmark::State& state) {
- auto values = GetRandomIntrinsic128SampleUniformDivisor();
+ auto values = GetRandomIntrinsic128SampleUniformDivisor<T>();
while (state.KeepRunningBatch(values.size())) {
for (const auto& pair : values) {
benchmark::DoNotOptimize(pair.first / pair.second);
}
}
}
-BENCHMARK(BM_DivideIntrinsic128UniformDivisor);
+BENCHMARK_TEMPLATE(BM_DivideIntrinsic128UniformDivisor, unsigned __int128);
+BENCHMARK_TEMPLATE(BM_DivideIntrinsic128UniformDivisor, __int128);
+
+template <typename T>
+void BM_RemainderIntrinsic128UniformDivisor(benchmark::State& state) {
+ auto values = GetRandomIntrinsic128SampleUniformDivisor<T>();
+ while (state.KeepRunningBatch(values.size())) {
+ for (const auto& pair : values) {
+ benchmark::DoNotOptimize(pair.first % pair.second);
+ }
+ }
+}
+BENCHMARK_TEMPLATE(BM_RemainderIntrinsic128UniformDivisor, unsigned __int128);
+BENCHMARK_TEMPLATE(BM_RemainderIntrinsic128UniformDivisor, __int128);
-std::vector<std::pair<unsigned __int128, uint64_t>>
-GetRandomIntrinsic128SampleSmallDivisor() {
- std::vector<std::pair<unsigned __int128, uint64_t>> values;
+template <typename T,
+ typename H = typename std::conditional<
+ std::is_same<T, __int128>::value, int64_t, uint64_t>::type>
+std::vector<std::pair<T, H>> GetRandomIntrinsic128SampleSmallDivisor() {
+ std::vector<std::pair<T, H>> values;
std::mt19937 random = MakeRandomEngine();
- UniformIntDistribution128 uniform_uint128;
- std::uniform_int_distribution<uint64_t> uniform_uint64;
+ UniformIntDistribution128<T> uniform_int128;
+ std::uniform_int_distribution<H> uniform_int64;
values.reserve(kSampleSize);
for (size_t i = 0; i < kSampleSize; ++i) {
- unsigned __int128 a = uniform_uint128(random);
- uint64_t b = std::max(uint64_t{2}, uniform_uint64(random));
- values.emplace_back(std::max(a, static_cast<unsigned __int128>(b)), b);
+ T a = uniform_int128(random);
+ H b = std::max(H{2}, uniform_int64(random));
+ values.emplace_back(std::max(a, static_cast<T>(b)), b);
}
return values;
}
+template <typename T>
void BM_DivideIntrinsic128SmallDivisor(benchmark::State& state) {
- auto values = GetRandomIntrinsic128SampleSmallDivisor();
+ auto values = GetRandomIntrinsic128SampleSmallDivisor<T>();
while (state.KeepRunningBatch(values.size())) {
for (const auto& pair : values) {
benchmark::DoNotOptimize(pair.first / pair.second);
}
}
}
-BENCHMARK(BM_DivideIntrinsic128SmallDivisor);
+BENCHMARK_TEMPLATE(BM_DivideIntrinsic128SmallDivisor, unsigned __int128);
+BENCHMARK_TEMPLATE(BM_DivideIntrinsic128SmallDivisor, __int128);
+
+template <typename T>
+void BM_RemainderIntrinsic128SmallDivisor(benchmark::State& state) {
+ auto values = GetRandomIntrinsic128SampleSmallDivisor<T>();
+ while (state.KeepRunningBatch(values.size())) {
+ for (const auto& pair : values) {
+ benchmark::DoNotOptimize(pair.first % pair.second);
+ }
+ }
+}
+BENCHMARK_TEMPLATE(BM_RemainderIntrinsic128SmallDivisor, unsigned __int128);
+BENCHMARK_TEMPLATE(BM_RemainderIntrinsic128SmallDivisor, __int128);
std::vector<std::pair<unsigned __int128, unsigned __int128>>
GetRandomIntrinsic128Sample() {
std::vector<std::pair<unsigned __int128, unsigned __int128>> values;
std::mt19937 random = MakeRandomEngine();
- UniformIntDistribution128 uniform_uint128;
+ UniformIntDistribution128<unsigned __int128> uniform_uint128;
values.reserve(kSampleSize);
for (size_t i = 0; i < kSampleSize; ++i) {
values.emplace_back(uniform_uint128(random), uniform_uint128(random));