병렬 처리 및 포인터를 사용하는 바이트 배열에 대한 이진 연산

소개
이진 연산 확장 함수는 바이트 배열에 적용되어 기본 이진 연산자를 사용하는 쉽고 빠른 방법을 제공합니다. AND, OR, XOR, NOT, Shift Left, Shift Right 연산자가 제공됩니다.
제공된 함수는 System.Threading.Tasks.Parallel라이브러리 및 unsafe포인터가 바이트 배열의 요소에 순차적으로 액세스하는 데 사용되는 많은 영역 에 의존 합니다.
배경
처음 for에는 다음 명령문과 같이 배열의 모든 요소에 대해 동일한 이진 연산을 반복 하는 간단한 사이클을 사용했습니다 .

public static byte[] Bin_And_noParallel_noPointers(this byte[] ba, byte[] bt)
{
int longlen = Math.Max(ba.Length, bt.Length);
int shortlen = Math.Min(ba.Length, bt.Length);
byte[] result = new byte[longlen];
for (int i = 0; i < shortlen; i++)
{
result[i] = (byte)(ba[i] & bt[i]);
}
return result;
}
public static byte[] Bin_And(this byte[] ba, byte[] bt)
public static byte[] Bin_Or(this byte[] ba, byte[] bt)
public static byte[] Bin_Xor(this byte[] ba, byte[] bt)
public static byte[] Bin_Not(this byte[] ba)
public static byte[] Bin_ShiftLeft(this byte[] ba, int bits)
public static byte[] Bin_ShiftRight(this byte[] ba, int bits)

이러한 함수는 확장 된 메서드이며 두 바이트 배열간에 이진 ‘AND’연산이 실행되는 다음 예에서 설명하는 방식으로 사용됩니다.

byte[] MyFirstByteArray, MySecondByteArray;
// fill the arrays here, for example by loading them from files
// (System.IO.File.ReadAllBytes) or filling them manually or with random bytes
byte[] result = MyFirstByteArray.Bin_And(MySecondByteArray);

이러한 기능을 시도하려면 포인터가 usafe 영역에서 사용되므로 프로젝트-> 속성-> 빌드에서 ‘안전하지 않은 코드 허용’상자를 선택해야합니다.

나는 바이트 배열을 문학 텍스트 (예 : 1308 년과 1321 년경에 쓴 유명한 이탈리아 시인 Dante Alighieri의 ‘신곡’처럼)로 채워서 이러한 작업을 테스트했습니다. 따라서 저작권 문제가 없어야합니다. 500,000 바이트, 제대로 작동했습니다.

코드 설명
이전에 언급했듯이 간단한 이진 함수를 개선하기위한 여정 동안 더 빠르게 만들기 위해 세 가지 전략, 즉 바이트 대신 병렬 처리, 포인터 및 정수를 시도했습니다.

처음에는 간단한 방법을 사용해 보았는데 System.Threading.Tasks.Parallel.For실행 속도가 약간 증가했지만 그다지 많지는 않았습니다.

그런 다음 포인터 접근 방식을 시도했습니다. 인덱스 (예 : in MyArray[175]) 를 통해 배열에 액세스하는 것이 첫 번째 바이트에서 마지막 바이트로 순차적으로 이동하는 포인터를 통해 동일한 데이터에 액세스하는 것보다 느립니다. 이 두 번째 접근 방식은 병렬 접근 방식보다 빠르지는 않지만 유사한 좋은 결과를 제공했습니다.

그럼 .. 조합 해보는 건 어떨까요?

글쎄, Parallel.For전체 속도가 크게 떨어졌기 때문에를 사용하는 것은 나쁜 생각이었습니다.

최종 솔루션은 좀 더 복잡했지만 속도 증가 (특히 대형 배열)는 그만한 가치가 있습니다. ‘AND’이진 연산에 대한 샘플 코드는 다음과 같습니다.

public static byte[] Bin_And(this byte[] ba, byte[] bt)
{
int lenbig = Math.Max(ba.Length, bt.Length);
int lensmall = Math.Min(ba.Length, bt.Length);
byte[] result = new byte[lenbig];
int ipar = 0;
object o = new object();
System.Action paction = delegate()
{
int actidx;
lock (o)
{
actidx = ipar++;
}
unsafe
{
fixed (byte* ptres = result, ptba = ba, ptbt = bt)
{
byte* pr = (byte*)ptres;
byte* pa = (byte*)ptba;
byte* pt = (byte*)ptbt;
pr += actidx; pa += actidx; pt += actidx;
while (pr < ptres + lensmall)
{
*pr = (byte)(*pt & *pa);
pr += paralleldegree; pa += paralleldegree; pt += paralleldegree;
}
}
}
};

System.Action[] actions = new Action[paralleldegree];
for (int i = 0; i < paralleldegree; i++)
{
actions[i] = paction;
}
Parallel.Invoke(actions);
return result;
}

이 함수에서 대리자 (AND 연산을 실행하는 코드 포함)가 선언 된 다음 동일한 대리자가 paralleldegree변수 (정적 생성자 내부에 할당 된 클래스 수준 변수) 와 동일한 횟수만큼 호출됩니다 ( 기사 끝에있는 전체 클래스 코드 참조) 현재 시스템에서 사용할 수있는 프로세서 수를 포함합니다. 물론 대리자의 다양한 인스턴스는 병렬 방식으로 호출됩니다.

대리자 내부에서 포인터는 입력 및 출력 바이트 배열에 선언 된 다음 while주기 내 에서 각주기의 다음 요소로 이동합니다. 함수의 핵심은 *pr = (*pt & *pa);입력 값 ( *pt 및 *pa) 사이에서 AND 이진 연산이 실행되어 결과를 출력 ( *pr) 에 넣는 간단한 라인 입니다.

이제 paralleldegree1 이면 (즉, 병렬 처리 없음)이 대리자는 이해하기 매우 쉽습니다.

그러나 예를 들어 paralleldegree4 라고 가정 해 보겠습니다 . 그러면 대리자의 네 인스턴스가 정확히 동일한 코드를 네 번 실행하여 실행 시간이 매우 느려진다는 문제가 발생합니다. 따라서이 아이디어 paralleldegree는 4 (또는 1보다 큰 숫자) 일 때 각 대리자가 입력 바이트 배열의 다른 바이트에서 시작 while하도록 한 다음주기 내 에서 모든주기에서 다음 4 바이트로 점프하는 것입니다. , 따라서 병렬로 실행되는 다른 대리자와 충돌없이 결과를 계산합니다.

이 경우 첫 번째 대리자는 바이트 0, 4, 8, 12 등을 계산합니다. 두 번째 대리자는 바이트 1, 5, 9, 13 등, 세 번째 2, 6, 10, 14 …, 네 번째 3, 7, 11, 15 …를 lock계산합니다. ipar각 호출에서 증가 되는 변수 (기능 수준) (4 인 경우 4 배 paralleldegree)와 actidx한 번만 할당되는 변수 (대리자 수준) 덕분에 델리게이트가 순차적 인 지점에서 시작하도록하는 목적 ( 모든 델리게이트에 대해) 그리고 모든 델리게이트에 대해 포인터의 ‘초기 오프셋’과 같은 역할을합니다 (줄에서 볼 수 있음 pr += actidx; pa += actidx; pt += actidx;).

병렬 처리를 포인터와 함께 사용하면 실행 속도가 매우 빨라졌습니다 (waw에 의해 실행 속도를 분석하기 위해 테스트 할 함수를 루프 안에 넣고 100 또는 1000 번 실행하여 System.Diagnostics.Stopwatch수업 시간 ; 그러나 바이트 포인터 ( byte*)를 uint포인터 ( uint*) 로 대체하면 더 개선 할 수 있습니다 . uint는보다 4 배 더 크므 byte로 모든주기가 4 배 짧아집니다. 음, 속도가 다시 증가했습니다. 네 번이 아니라 ‘단지’두 번. 그래서,이 마지막 개선은 제 생각에 그만한 가치가있었습니다.

using System;
using System.Threading.Tasks;

namespace MySpace
{
public static class BinOps
{
private const int bitsinbyte = 8;
private static readonly int paralleldegree;
private static readonly int uintsize;
private static readonly int bitsinuint;
static BinOps()
{
paralleldegree = Environment.ProcessorCount;
uintsize = sizeof(uint) / sizeof(byte); // really paranoid, uh ?
bitsinuint = uintsize * bitsinbyte;
}

public static byte[] Bin_And(this byte[] ba, byte[] bt)
{
int lenbig = Math.Max(ba.Length, bt.Length);
int lensmall = Math.Min(ba.Length, bt.Length);
byte[] result = new byte[lenbig];
int ipar = 0;
object o = new object();
System.Action paction = delegate()
{
int actidx;
lock (o)
{
actidx = ipar++;
}
unsafe
{
fixed (byte* ptres = result, ptba = ba, ptbt = bt)
{
uint* pr = (uint*)ptres;
uint* pa = (uint*)ptba;
uint* pt = (uint*)ptbt;
pr += actidx; pa += actidx; pt += actidx;
while (pr < ptres + lensmall)
{
*pr = (*pt & *pa);
pr += paralleldegree; pa += paralleldegree; pt += paralleldegree;
}
}
}
};
System.Action[] actions = new Action[paralleldegree];
for (int i = 0; i < paralleldegree; i++)
{
actions[i] = paction;
}
Parallel.Invoke(actions);
return result;
}

public static byte[] Bin_Or(this byte[] ba, byte[] bt)
{
int lenbig = Math.Max(ba.Length, bt.Length);
int lensmall = Math.Min(ba.Length, bt.Length);
byte[] result = new byte[lenbig];
int ipar = 0;
object o = new object();
System.Action paction = delegate()
{
int actidx;
lock (o)
{
actidx = ipar++;
}
unsafe
{
fixed (byte* ptres = result, ptba = ba, ptbt = bt)
{
uint* pr = (uint*)ptres;
uint* pa = (uint*)ptba;
uint* pt = (uint*)ptbt;
pr += actidx; pa += actidx; pt += actidx;
while (pr < ptres + lensmall)
{
*pr = (*pt | *pa);
pr += paralleldegree; pa += paralleldegree; pt += paralleldegree;
}
uint* pl = ba.Length > bt.Length ? pa : pt;
while (pr < ptres + lenbig)
{
*pr = *pl;
pr += paralleldegree; pl += paralleldegree;
}
}
}
};
System.Action[] actions = new Action[paralleldegree];
for (int i = 0; i < paralleldegree; i++)
{
actions[i] = paction;
}
Parallel.Invoke(actions);

return result;
}

public static byte[] Bin_Xor(this byte[] ba, byte[] bt)
{
int lenbig = Math.Max(ba.Length, bt.Length);
int lensmall = Math.Min(ba.Length, bt.Length);
byte[] result = new byte[lenbig];
int ipar = 0;
object o = new object();
System.Action paction = delegate()
{
int actidx;
lock (o)
{
actidx = ipar++;
}
unsafe
{
fixed (byte* ptres = result, ptba = ba, ptbt = bt)
{
uint* pr = ((uint*)ptres) + actidx;
uint* pa = ((uint*)ptba) + actidx;
uint* pt = ((uint*)ptbt) + actidx;
while (pr < ptres + lensmall)
{
*pr = (*pt ^ *pa);
pr += paralleldegree; pa += paralleldegree; pt += paralleldegree;
}
uint* pl = ba.Length > bt.Length ? pa : pt;
while (pr < ptres + lenbig)
{
*pr = *pl;
pr += paralleldegree; pl += paralleldegree;
}
}
}
};
System.Action[] actions = new Action[paralleldegree];
for (int i = 0; i < paralleldegree; i++)
{
actions[i] = paction;
}
Parallel.Invoke(actions);

return result;
}

public static byte[] Bin_Not(this byte[] ba)
{
int len = ba.Length;
byte[] result = new byte[len];

int ipar = 0;
object o = new object();
System.Action paction = delegate()
{
int actidx;
lock (o)
{
actidx = ipar++;
}
unsafe
{
fixed (byte* ptres = result, ptba = ba)
{
uint* pr = (uint*)ptres;
uint* pa = (uint*)ptba;
pr += actidx; pa += actidx;
while (pr < ptres + len)
{
*pr = ~(*pa);
pr += paralleldegree; pa += paralleldegree;
}
}
}
};
System.Action[] actions = new Action[paralleldegree];
for (int i = 0; i < paralleldegree; i++)
{
actions[i] = paction;
}
Parallel.Invoke(actions);
return result;
}

public static byte[] Bin_ShiftLeft(this byte[] ba, int bits)
{
int ipar = 0;
object o = new object();

int len = ba.Length;
if (bits >= len * bitsinbyte) return new byte[len];
int shiftbits = bits % bitsinuint;
int shiftuints = bits / bitsinuint;
byte[] result = new byte[len];

if (len > 1)
{
// first uint is shifted without carry from previous byte (previous byte does not exist)
unsafe
{
fixed (byte* fpba = ba, fpres = result)
{
uint* pres = (uint*)fpres + shiftuints;
uint* pba = (uint*)fpba;
*pres = *pba << shiftbits;
}
}
System.Action paction = delegate()
{
int actidx;
lock (o)
{
actidx = ipar++;
}
unsafe
{
fixed (byte* fpba = ba, fpres = result)
{
// pointer to results; shift the bytes in the result
// (i.e. move left the pointer to the result)
uint* pres = (uint*)fpres + shiftuints + actidx + 1;
// pointer to original data, second byte
uint* pba1 = (uint*)fpba + actidx + 1;
if (shiftbits == 0)
{
while (pres < fpres + len)
{
*pres = *pba1;
pres += paralleldegree; pba1 += paralleldegree;
}
}
else
{
// pointer to original data, first byte
uint* pba2 = (uint*)fpba + actidx;
while (pres < fpres + len)
{
*pres = *pba2 >> (bitsinuint - shiftbits) | *pba1 << shiftbits;
pres += paralleldegree; pba1 += paralleldegree; pba2 += paralleldegree;
}
}
}
};

};
System.Action[] actions = new Action[paralleldegree];
for (int i = 0; i < paralleldegree; i++)
{
actions[i] = paction;
}
Parallel.Invoke(actions);
}

return result;
}

public static byte[] Bin_ShiftRight(this byte[] ba, int bits)
{
int ipar = 0;
object o = new object();
int len = ba.Length;
if (bits >= len * bitsinbyte) return new byte[len];
int ulen = len / uintsize + 1 - (uintsize - (len % uintsize)) / uintsize;
int shiftbits = bits % bitsinuint;
int shiftuints = bits / bitsinuint;
byte[] result = new byte[len];

if (len > 1)
{
unsafe
{
fixed (byte* fpba = ba, fpres = result)
{
uint* pres = (uint*)fpres + ulen - shiftuints - 1;
uint* pba = (uint*)fpba + ulen - 1;
*pres = *pba >> shiftbits;
}
}
System.Action paction = delegate()
{
int actidx;
lock (o)
{
actidx = ipar++;
}
unsafe
{
fixed (byte* fpba = ba, fpres = result)
{
// pointer to results; shift the bytes in the result
// (i.e. move left the pointer to the result)
uint* pres = (uint*)fpres + actidx;
// pointer to original data, first useful byte
uint* pba1 = (uint*)fpba + shiftuints + actidx;
if (shiftbits == 0)
{
while (pres < ((uint*)fpres) + ulen - shiftuints - 1)
{
*pres = *pba1;
// increment pointers to next position
pres += paralleldegree; pba1 += paralleldegree;
}
}
else
{
// pointer to original data, second useful byte
uint* pba2 = (uint*)fpba + shiftuints + actidx + 1;
while (pres < ((uint*)fpres) + ulen - shiftuints - 1)
{
// Core shift operation
*pres = (*pba1 >> shiftbits | *pba2 << (bitsinuint - shiftbits));
// increment pointers to next position
pres += paralleldegree; pba1 += paralleldegree; pba2 += paralleldegree;
}
}
}
};
};
System.Action[] actions = new Action[paralleldegree];
for (int i = 0; i < paralleldegree; i++)
{
actions[i] = paction;
}
Parallel.Invoke(actions);
}
return result;
}
}
}

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