xref: /aosp_15_r20/external/abseil-cpp/absl/random/internal/wide_multiply.h (revision 9356374a3709195abf420251b3e825997ff56c0f)
1*9356374aSAndroid Build Coastguard Worker // Copyright 2017 The Abseil Authors.
2*9356374aSAndroid Build Coastguard Worker //
3*9356374aSAndroid Build Coastguard Worker // Licensed under the Apache License, Version 2.0 (the "License");
4*9356374aSAndroid Build Coastguard Worker // you may not use this file except in compliance with the License.
5*9356374aSAndroid Build Coastguard Worker // You may obtain a copy of the License at
6*9356374aSAndroid Build Coastguard Worker //
7*9356374aSAndroid Build Coastguard Worker //      https://www.apache.org/licenses/LICENSE-2.0
8*9356374aSAndroid Build Coastguard Worker //
9*9356374aSAndroid Build Coastguard Worker // Unless required by applicable law or agreed to in writing, software
10*9356374aSAndroid Build Coastguard Worker // distributed under the License is distributed on an "AS IS" BASIS,
11*9356374aSAndroid Build Coastguard Worker // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
12*9356374aSAndroid Build Coastguard Worker // See the License for the specific language governing permissions and
13*9356374aSAndroid Build Coastguard Worker // limitations under the License.
14*9356374aSAndroid Build Coastguard Worker 
15*9356374aSAndroid Build Coastguard Worker #ifndef ABSL_RANDOM_INTERNAL_WIDE_MULTIPLY_H_
16*9356374aSAndroid Build Coastguard Worker #define ABSL_RANDOM_INTERNAL_WIDE_MULTIPLY_H_
17*9356374aSAndroid Build Coastguard Worker 
18*9356374aSAndroid Build Coastguard Worker #include <cstdint>
19*9356374aSAndroid Build Coastguard Worker #include <limits>
20*9356374aSAndroid Build Coastguard Worker #include <type_traits>
21*9356374aSAndroid Build Coastguard Worker 
22*9356374aSAndroid Build Coastguard Worker #if (defined(_WIN32) || defined(_WIN64)) && defined(_M_IA64)
23*9356374aSAndroid Build Coastguard Worker #include <intrin.h>  // NOLINT(build/include_order)
24*9356374aSAndroid Build Coastguard Worker #pragma intrinsic(_umul128)
25*9356374aSAndroid Build Coastguard Worker #define ABSL_INTERNAL_USE_UMUL128 1
26*9356374aSAndroid Build Coastguard Worker #endif
27*9356374aSAndroid Build Coastguard Worker 
28*9356374aSAndroid Build Coastguard Worker #include "absl/base/config.h"
29*9356374aSAndroid Build Coastguard Worker #include "absl/numeric/bits.h"
30*9356374aSAndroid Build Coastguard Worker #include "absl/numeric/int128.h"
31*9356374aSAndroid Build Coastguard Worker #include "absl/random/internal/traits.h"
32*9356374aSAndroid Build Coastguard Worker 
33*9356374aSAndroid Build Coastguard Worker namespace absl {
34*9356374aSAndroid Build Coastguard Worker ABSL_NAMESPACE_BEGIN
35*9356374aSAndroid Build Coastguard Worker namespace random_internal {
36*9356374aSAndroid Build Coastguard Worker 
37*9356374aSAndroid Build Coastguard Worker // wide_multiply<T> multiplies two N-bit values to a 2N-bit result.
38*9356374aSAndroid Build Coastguard Worker template <typename UIntType>
39*9356374aSAndroid Build Coastguard Worker struct wide_multiply {
40*9356374aSAndroid Build Coastguard Worker   static constexpr size_t kN = std::numeric_limits<UIntType>::digits;
41*9356374aSAndroid Build Coastguard Worker   using input_type = UIntType;
42*9356374aSAndroid Build Coastguard Worker   using result_type = typename random_internal::unsigned_bits<kN * 2>::type;
43*9356374aSAndroid Build Coastguard Worker 
multiplywide_multiply44*9356374aSAndroid Build Coastguard Worker   static result_type multiply(input_type a, input_type b) {
45*9356374aSAndroid Build Coastguard Worker     return static_cast<result_type>(a) * b;
46*9356374aSAndroid Build Coastguard Worker   }
47*9356374aSAndroid Build Coastguard Worker 
hiwide_multiply48*9356374aSAndroid Build Coastguard Worker   static input_type hi(result_type r) {
49*9356374aSAndroid Build Coastguard Worker     return static_cast<input_type>(r >> kN);
50*9356374aSAndroid Build Coastguard Worker   }
lowide_multiply51*9356374aSAndroid Build Coastguard Worker   static input_type lo(result_type r) { return static_cast<input_type>(r); }
52*9356374aSAndroid Build Coastguard Worker 
53*9356374aSAndroid Build Coastguard Worker   static_assert(std::is_unsigned<UIntType>::value,
54*9356374aSAndroid Build Coastguard Worker                 "Class-template wide_multiply<> argument must be unsigned.");
55*9356374aSAndroid Build Coastguard Worker };
56*9356374aSAndroid Build Coastguard Worker 
57*9356374aSAndroid Build Coastguard Worker // MultiplyU128ToU256 multiplies two 128-bit values to a 256-bit value.
MultiplyU128ToU256(uint128 a,uint128 b)58*9356374aSAndroid Build Coastguard Worker inline U256 MultiplyU128ToU256(uint128 a, uint128 b) {
59*9356374aSAndroid Build Coastguard Worker   const uint128 a00 = static_cast<uint64_t>(a);
60*9356374aSAndroid Build Coastguard Worker   const uint128 a64 = a >> 64;
61*9356374aSAndroid Build Coastguard Worker   const uint128 b00 = static_cast<uint64_t>(b);
62*9356374aSAndroid Build Coastguard Worker   const uint128 b64 = b >> 64;
63*9356374aSAndroid Build Coastguard Worker 
64*9356374aSAndroid Build Coastguard Worker   const uint128 c00 = a00 * b00;
65*9356374aSAndroid Build Coastguard Worker   const uint128 c64a = a00 * b64;
66*9356374aSAndroid Build Coastguard Worker   const uint128 c64b = a64 * b00;
67*9356374aSAndroid Build Coastguard Worker   const uint128 c128 = a64 * b64;
68*9356374aSAndroid Build Coastguard Worker 
69*9356374aSAndroid Build Coastguard Worker   const uint64_t carry =
70*9356374aSAndroid Build Coastguard Worker       static_cast<uint64_t>(((c00 >> 64) + static_cast<uint64_t>(c64a) +
71*9356374aSAndroid Build Coastguard Worker                              static_cast<uint64_t>(c64b)) >>
72*9356374aSAndroid Build Coastguard Worker                             64);
73*9356374aSAndroid Build Coastguard Worker 
74*9356374aSAndroid Build Coastguard Worker   return {c128 + (c64a >> 64) + (c64b >> 64) + carry,
75*9356374aSAndroid Build Coastguard Worker           c00 + (c64a << 64) + (c64b << 64)};
76*9356374aSAndroid Build Coastguard Worker }
77*9356374aSAndroid Build Coastguard Worker 
78*9356374aSAndroid Build Coastguard Worker 
79*9356374aSAndroid Build Coastguard Worker template <>
80*9356374aSAndroid Build Coastguard Worker struct wide_multiply<uint128> {
81*9356374aSAndroid Build Coastguard Worker   using input_type = uint128;
82*9356374aSAndroid Build Coastguard Worker   using result_type = U256;
83*9356374aSAndroid Build Coastguard Worker 
84*9356374aSAndroid Build Coastguard Worker   static result_type multiply(input_type a, input_type b) {
85*9356374aSAndroid Build Coastguard Worker     return MultiplyU128ToU256(a, b);
86*9356374aSAndroid Build Coastguard Worker   }
87*9356374aSAndroid Build Coastguard Worker 
88*9356374aSAndroid Build Coastguard Worker   static input_type hi(result_type r) { return r.hi; }
89*9356374aSAndroid Build Coastguard Worker   static input_type lo(result_type r) { return r.lo; }
90*9356374aSAndroid Build Coastguard Worker };
91*9356374aSAndroid Build Coastguard Worker 
92*9356374aSAndroid Build Coastguard Worker }  // namespace random_internal
93*9356374aSAndroid Build Coastguard Worker ABSL_NAMESPACE_END
94*9356374aSAndroid Build Coastguard Worker }  // namespace absl
95*9356374aSAndroid Build Coastguard Worker 
96*9356374aSAndroid Build Coastguard Worker #endif  // ABSL_RANDOM_INTERNAL_WIDE_MULTIPLY_H_
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