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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 #include #include #if (defined(_WIN32) || defined(_WIN64)) && defined(_M_IA64) #include // NOLINT(build/include_order) #pragma intrinsic(_umul128) #define ABSL_INTERNAL_USE_UMUL128 1 #endif #include "absl/base/config.h" #include "absl/numeric/bits.h" #include "absl/numeric/int128.h" #include "absl/random/internal/traits.h" namespace absl { ABSL_NAMESPACE_BEGIN namespace random_internal { // wide_multiply multiplies two N-bit values to a 2N-bit result. template struct wide_multiply { static constexpr size_t kN = std::numeric_limits::digits; using input_type = UIntType; using result_type = typename random_internal::unsigned_bits::type; static result_type multiply(input_type a, input_type b) { return static_cast(a) * b; } static input_type hi(result_type r) { return static_cast(r >> kN); } static input_type lo(result_type r) { return static_cast(r); } static_assert(std::is_unsigned::value, "Class-template wide_multiply<> argument must be unsigned."); }; // MultiplyU128ToU256 multiplies two 128-bit values to a 256-bit value. inline U256 MultiplyU128ToU256(uint128 a, uint128 b) { const uint128 a00 = static_cast(a); const uint128 a64 = a >> 64; const uint128 b00 = static_cast(b); const uint128 b64 = b >> 64; const uint128 c00 = a00 * b00; const uint128 c64a = a00 * b64; const uint128 c64b = a64 * b00; const uint128 c128 = a64 * b64; const uint64_t carry = static_cast(((c00 >> 64) + static_cast(c64a) + static_cast(c64b)) >> 64); return {c128 + (c64a >> 64) + (c64b >> 64) + carry, c00 + (c64a << 64) + (c64b << 64)}; } template <> struct wide_multiply { using input_type = uint128; using result_type = U256; static result_type multiply(input_type a, input_type b) { return MultiplyU128ToU256(a, b); } static input_type hi(result_type r) { return r.hi; } static input_type lo(result_type r) { return r.lo; } }; } // namespace random_internal ABSL_NAMESPACE_END } // namespace absl #endif // ABSL_RANDOM_INTERNAL_WIDE_MULTIPLY_H_