260 lines
7.4 KiB
C++
260 lines
7.4 KiB
C++
/***************************************************************************************************
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* Copyright (c) 2023 - 2024 NVIDIA CORPORATION & AFFILIATES. All rights reserved.
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* SPDX-License-Identifier: BSD-3-Clause
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions are met:
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*
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* 1. Redistributions of source code must retain the above copyright notice, this
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* list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright notice,
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* this list of conditions and the following disclaimer in the documentation
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* and/or other materials provided with the distribution.
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*
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* 3. Neither the name of the copyright holder nor the names of its
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* contributors may be used to endorse or promote products derived from
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* this software without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*
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**************************************************************************************************/
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#pragma once
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#if defined(__CUDACC_RTC__)
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#include <cuda/std/cstdint>
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#else
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#include <cstdint>
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#include <cstdlib>
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#include <cmath>
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#include <type_traits>
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#include <stdexcept>
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#endif
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#include <cute/config.hpp>
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/// Optionally enable GCC's built-in type
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#if defined(__x86_64) && !defined(__CUDA_ARCH__)
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# if defined(__GNUC__) && 0
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# define CUTE_UINT128_NATIVE
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# elif defined(_MSC_VER)
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# define CUTE_INT128_ARITHMETIC
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# include <intrin.h>
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# endif
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#endif
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/////////////////////////////////////////////////////////////////////////////////////////////////
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namespace cute {
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/////////////////////////////////////////////////////////////////////////////////////////////////
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///! Unsigned 128b integer type
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struct alignas(16) uint128_t
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{
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/// Size of one part of the uint's storage in bits
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static constexpr int storage_bits_ = 64;
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struct hilo
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{
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uint64_t lo;
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uint64_t hi;
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};
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// Use a union to store either low and high parts or, if present, a built-in 128b integer type.
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union
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{
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struct hilo hilo_;
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#if defined(CUTE_UINT128_NATIVE)
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unsigned __int128 native;
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#endif // defined(CUTE_UINT128_NATIVE)
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};
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//
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// Methods
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//
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/// Default ctor
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CUTE_HOST_DEVICE constexpr
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uint128_t() : hilo_{0, 0} {}
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/// Constructor from uint64
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CUTE_HOST_DEVICE constexpr
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uint128_t(uint64_t lo_) : hilo_{lo_, 0} {}
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/// Constructor from two 64b unsigned integers
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CUTE_HOST_DEVICE constexpr
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uint128_t(uint64_t lo_, uint64_t hi_) : hilo_{lo_, hi_} {}
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/// Optional constructor from native value
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#if defined(CUTE_UINT128_NATIVE)
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uint128_t(unsigned __int128 value) : native(value) { }
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#endif
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/// Lossily cast to uint64
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CUTE_HOST_DEVICE constexpr
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explicit operator uint64_t() const
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{
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return hilo_.lo;
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}
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template <class Dummy = bool>
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CUTE_HOST_DEVICE constexpr
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static void exception()
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{
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//static_assert(sizeof(Dummy) == 0, "Not implemented exception!");
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//abort();
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//printf("uint128 not implemented!\n");
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}
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/// Add
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CUTE_HOST_DEVICE constexpr
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uint128_t operator+(uint128_t const& rhs) const
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{
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uint128_t y;
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#if defined(CUTE_UINT128_NATIVE)
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y.native = native + rhs.native;
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#else
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y.hilo_.lo = hilo_.lo + rhs.hilo_.lo;
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y.hilo_.hi = hilo_.hi + rhs.hilo_.hi + (!y.hilo_.lo && (rhs.hilo_.lo));
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#endif
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return y;
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}
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/// Subtract
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CUTE_HOST_DEVICE constexpr
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uint128_t operator-(uint128_t const& rhs) const
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{
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uint128_t y;
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#if defined(CUTE_UINT128_NATIVE)
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y.native = native - rhs.native;
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#else
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y.hilo_.lo = hilo_.lo - rhs.hilo_.lo;
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y.hilo_.hi = hilo_.hi - rhs.hilo_.hi - (rhs.hilo_.lo && y.hilo_.lo > hilo_.lo);
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#endif
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return y;
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}
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/// Multiply by unsigned 64b integer yielding 128b integer
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CUTE_HOST_DEVICE constexpr
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uint128_t operator*(uint64_t const& rhs) const
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{
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uint128_t y;
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#if defined(CUTE_UINT128_NATIVE)
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y.native = native * rhs;
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#elif defined(CUTE_INT128_ARITHMETIC)
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// Multiply by the low part
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y.hilo_.lo = _umul128(hilo_.lo, rhs, &y.hilo_.hi);
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// Add the high part and ignore the overflow
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uint64_t overflow;
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y.hilo_.hi += _umul128(hilo_.hi, rhs, &overflow);
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#else
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exception();
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#endif
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return y;
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}
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/// Divide 128b operation by 64b operation yielding a 64b quotient
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CUTE_HOST_DEVICE constexpr
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uint64_t operator/(uint64_t const& divisor) const
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{
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uint64_t quotient = 0;
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#if defined(CUTE_UINT128_NATIVE)
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quotient = uint64_t(native / divisor);
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#elif defined(CUTE_INT128_ARITHMETIC)
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// implemented using MSVC's arithmetic intrinsics
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uint64_t remainder = 0;
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quotient = _udiv128(hilo_.hi, hilo_.lo, divisor, &remainder);
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#else
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exception();
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#endif
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return quotient;
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}
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/// Divide 128b operation by 64b operation yielding a 64b quotient
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CUTE_HOST_DEVICE constexpr
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uint64_t operator%(uint64_t const& divisor) const
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{
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uint64_t remainder = 0;
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#if defined(CUTE_UINT128_NATIVE)
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remainder = uint64_t(native % divisor);
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#elif defined(CUTE_INT128_ARITHMETIC)
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// implemented using MSVC's arithmetic intrinsics
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(void)_udiv128(hilo_.hi, hilo_.lo, divisor, &remainder);
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#else
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exception();
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#endif
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return remainder;
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}
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/// Computes the quotient and remainder in a single method.
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CUTE_HOST_DEVICE constexpr
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uint64_t divmod(uint64_t &remainder, uint64_t divisor) const
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{
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uint64_t quotient = 0;
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#if defined(CUTE_UINT128_NATIVE)
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quotient = uint64_t(native / divisor);
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remainder = uint64_t(native % divisor);
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#elif defined(CUTE_INT128_ARITHMETIC)
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// implemented using MSVC's arithmetic intrinsics
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quotient = _udiv128(hilo_.hi, hilo_.lo, divisor, &remainder);
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#else
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exception();
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#endif
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return quotient;
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}
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/// Left-shifts a 128b unsigned integer
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CUTE_HOST_DEVICE constexpr
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uint128_t operator<<(int sh) const
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{
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if (sh == 0) {
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return *this;
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}
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else if (sh >= storage_bits_) {
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return uint128_t(0, hilo_.lo << (sh - storage_bits_));
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}
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else {
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return uint128_t(
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(hilo_.lo << sh),
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(hilo_.hi << sh) | uint64_t(hilo_.lo >> (storage_bits_ - sh))
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);
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}
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}
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/// Right-shifts a 128b unsigned integer
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CUTE_HOST_DEVICE constexpr
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uint128_t operator>>(int sh) const
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{
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if (sh == 0) {
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return *this;
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}
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else if (sh >= storage_bits_) {
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return uint128_t((hilo_.hi >> (sh - storage_bits_)), 0);
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}
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else {
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return uint128_t(
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(hilo_.lo >> sh) | (hilo_.hi << (storage_bits_ - sh)),
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(hilo_.hi >> sh)
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);
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}
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}
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};
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/////////////////////////////////////////////////////////////////////////////////////////////////
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} // namespace cute
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/////////////////////////////////////////////////////////////////////////////////////////////////
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