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+// Copyright 2017 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_RANDOM_INTERNAL_WIDE_MULTIPLY_H_
+#define ABSL_RANDOM_INTERNAL_WIDE_MULTIPLY_H_
+
+#include <cstdint>
+#include <limits>
+#include <type_traits>
+
+#if (defined(_WIN32) || defined(_WIN64)) && defined(_M_IA64)
+#include <intrin.h> // NOLINT(build/include_order)
+#pragma intrinsic(_umul128)
+#define ABSL_INTERNAL_USE_UMUL128 1
+#endif
+
+#include "absl/base/config.h"
+#include "absl/base/internal/bits.h"
+#include "absl/numeric/int128.h"
+#include "absl/random/internal/traits.h"
+
+namespace absl {
+ABSL_NAMESPACE_BEGIN
+namespace random_internal {
+
+// Helper object to multiply two 64-bit values to a 128-bit value.
+// MultiplyU64ToU128 multiplies two 64-bit values to a 128-bit value.
+// If an intrinsic is available, it is used, otherwise use native 32-bit
+// multiplies to construct the result.
+inline uint128 MultiplyU64ToU128(uint64_t a, uint64_t b) {
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+ return uint128(static_cast<__uint128_t>(a) * b);
+#elif defined(ABSL_INTERNAL_USE_UMUL128)
+ // uint64_t * uint64_t => uint128 multiply using imul intrinsic on MSVC.
+ uint64_t high = 0;
+ const uint64_t low = _umul128(a, b, &high);
+ return absl::MakeUint128(high, low);
+#else
+ // uint128(a) * uint128(b) in emulated mode computes a full 128-bit x 128-bit
+ // multiply. However there are many cases where that is not necessary, and it
+ // is only necessary to support a 64-bit x 64-bit = 128-bit multiply. This is
+ // for those cases.
+ const uint64_t a00 = static_cast<uint32_t>(a);
+ const uint64_t a32 = a >> 32;
+ const uint64_t b00 = static_cast<uint32_t>(b);
+ const uint64_t b32 = b >> 32;
+
+ const uint64_t c00 = a00 * b00;
+ const uint64_t c32a = a00 * b32;
+ const uint64_t c32b = a32 * b00;
+ const uint64_t c64 = a32 * b32;
+
+ const uint32_t carry =
+ static_cast<uint32_t>(((c00 >> 32) + static_cast<uint32_t>(c32a) +
+ static_cast<uint32_t>(c32b)) >>
+ 32);
+
+ return absl::MakeUint128(c64 + (c32a >> 32) + (c32b >> 32) + carry,
+ c00 + (c32a << 32) + (c32b << 32));
+#endif
+}
+
+// wide_multiply<T> multiplies two N-bit values to a 2N-bit result.
+template <typename UIntType>
+struct wide_multiply {
+ static constexpr size_t kN = std::numeric_limits<UIntType>::digits;
+ using input_type = UIntType;
+ using result_type = typename random_internal::unsigned_bits<kN * 2>::type;
+
+ static result_type multiply(input_type a, input_type b) {
+ return static_cast<result_type>(a) * b;
+ }
+
+ static input_type hi(result_type r) { return r >> kN; }
+ static input_type lo(result_type r) { return r; }
+
+ static_assert(std::is_unsigned<UIntType>::value,
+ "Class-template wide_multiply<> argument must be unsigned.");
+};
+
+#ifndef ABSL_HAVE_INTRINSIC_INT128
+template <>
+struct wide_multiply<uint64_t> {
+ using input_type = uint64_t;
+ using result_type = uint128;
+
+ static result_type multiply(uint64_t a, uint64_t b) {
+ return MultiplyU64ToU128(a, b);
+ }
+
+ static uint64_t hi(result_type r) { return Uint128High64(r); }
+ static uint64_t lo(result_type r) { return Uint128Low64(r); }
+};
+#endif
+
+} // namespace random_internal
+ABSL_NAMESPACE_END
+} // namespace absl
+
+#endif // ABSL_RANDOM_INTERNAL_WIDE_MULTIPLY_H_