259 lines
7.6 KiB
C++
259 lines
7.6 KiB
C++
/***************************************************************************************************
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* Copyright (c) 2017-2021, NVIDIA CORPORATION. All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without modification, are permitted
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* provided that the following conditions are met:
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* * Redistributions of source code must retain the above copyright notice, this list of
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* conditions and the following disclaimer.
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* * Redistributions in binary form must reproduce the above copyright notice, this list of
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* conditions and the following disclaimer in the documentation and/or other materials
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* provided with the distribution.
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* * Neither the name of the NVIDIA CORPORATION nor the names of its contributors may be used
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* to endorse or promote products derived from this software without specific prior written
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* permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR
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* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
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* FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL NVIDIA CORPORATION BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
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* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
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* STRICT LIABILITY, 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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/*!
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\file
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\brief Defines an unsigned 128b integer with several operators to support 64-bit integer division.
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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 "cutlass/cutlass.h"
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#include "cutlass/numeric_types.h"
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/////////////////////////////////////////////////////////////////////////////////////////////////
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namespace cutlass {
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/////////////////////////////////////////////////////////////////////////////////////////////////
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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__)
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#define CUTLASS_UINT128_NATIVE
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#elif defined(_MSC_VER)
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#define CUTLASS_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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///! Unsigned 128b integer type
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struct uint128_t {
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/// Size of one part of the uint's storage in bits
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int const kPartSize = sizeof_bits<uint64_t>::value;
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struct hilo {
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uint64_t lo;
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uint64_t hi;
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CUTLASS_HOST_DEVICE hilo(uint64_t lo_, uint64_t hi_):lo(lo_), hi(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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struct hilo hilo_;
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#if defined(CUTLASS_UINT128_NATIVE)
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unsigned __int128 native;
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#endif // defined(CUTLASS_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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CUTLASS_HOST_DEVICE
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uint128_t(): hilo_(0, 0) { }
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/// Constructor from uint64
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CUTLASS_HOST_DEVICE
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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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CUTLASS_HOST_DEVICE
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uint128_t(uint64_t lo_, uint64_t hi_): hilo_(lo_, hi_) {
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}
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/// Optional constructor from native value
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#if defined(CUTLASS_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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CUTLASS_HOST_DEVICE
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explicit operator uint64_t() const {
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return hilo_.lo;
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}
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CUTLASS_HOST_DEVICE
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static void exception() {
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#if defined(__CUDA_ARCH__)
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asm volatile (" brkpt;\n");
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#else
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// throw std::runtime_error("Not yet implemented.");
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abort();
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#endif
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}
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/// Add
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CUTLASS_HOST_DEVICE
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uint128_t operator+(uint128_t const &rhs) const {
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uint128_t y;
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#if defined(CUTLASS_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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CUTLASS_HOST_DEVICE
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uint128_t operator-(uint128_t const &rhs) const {
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uint128_t y;
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#if defined(CUTLASS_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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CUTLASS_HOST_DEVICE
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uint128_t operator*(uint64_t const &rhs) const {
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uint128_t y;
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#if defined(CUTLASS_UINT128_NATIVE)
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y.native = native * rhs;
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#elif defined(CUTLASS_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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// TODO - not implemented
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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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CUTLASS_HOST_DEVICE
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uint64_t operator/(uint64_t const &divisor) const {
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uint64_t quotient = 0;
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#if defined(CUTLASS_UINT128_NATIVE)
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quotient = uint64_t(native / divisor);
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#elif defined(CUTLASS_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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// TODO - not implemented
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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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CUTLASS_HOST_DEVICE
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uint64_t operator%(uint64_t const &divisor) const {
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uint64_t remainder = 0;
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#if defined(CUTLASS_UINT128_NATIVE)
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remainder = uint64_t(native % divisor);
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#elif defined(CUTLASS_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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// TODO - not implemented
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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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CUTLASS_HOST_DEVICE
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uint64_t divmod(uint64_t &remainder, uint64_t divisor) const {
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uint64_t quotient = 0;
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#if defined(CUTLASS_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(CUTLASS_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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// TODO - not implemented
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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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CUTLASS_HOST_DEVICE
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uint128_t operator<<(int sh) const {
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if (sh == 0) {
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return *this;
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}
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else if (sh >= kPartSize) {
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return uint128_t(0, hilo_.lo << (sh - kPartSize));
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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 >> (kPartSize - 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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CUTLASS_HOST_DEVICE
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uint128_t operator>>(int sh) const {
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if (sh == 0) {
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return *this;
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}
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else if (sh >= kPartSize) {
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return uint128_t((hilo_.hi >> (sh - kPartSize)), 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 << (kPartSize - 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 cutlass
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/////////////////////////////////////////////////////////////////////////////////////////////////
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