Pau*_*ott 5 html c# vector simd
更新:之前提到的跨度问题已在 .net core 2.1 版本(目前处于预览版)中得到修复。这些实际上使跨度向量 * 比数组向量更快 * ...
注意:在“Intel Xeon E5-1660 v4”上进行测试,CPU-Z 告诉我有“MMX、SSE、SSE2、SSE3、SSSE3、SSE4.1、SSE4.2、EM64T、VT-x、AES、 AVX、AVX2、FMA3、RSX”所以应该没问题......
在回答基于Vector 的问题之后,我想我会尝试实现一些 BLAS 功能。我发现那些正在读取/求和(例如点积)的内容非常好,但是我写回数组的内容很糟糕 - 比非 SIMD 好,但几乎没有。
那么我做错了什么,还是需要在 JIT 中做更多的工作?
示例(假设 x.Length = y.Length,不为 null 等等等等):
public static void daxpy(double alpha, double[] x, double[] y)
{
for (var i = 0; i < x.Length; ++i)
y[i] = y[i] + x[i] * alpha;
}
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以向量形式变为:
public static void daxpy(double alpha, double[] x, double[] y)
{
var i = 0;
if (Vector.IsHardwareAccelerated)
{
var length = x.Length + 1 - Vector<double>.Count;
for (; i < length; i += Vector<double>.Count)
{
var valpha = new Vector<double>(alpha);
var vx = new Vector<double>(x, i);
var vy = new Vector<double>(y, i);
(vy + vx * valpha).CopyTo(y, i);
}
}
for (; i < x.Length; ++i)
y[i] = y[i] + x[i] * alpha;
}
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而且,在 .NET Core 2.0 中玩弄,我虽然会尝试 Span,包括 naive 和 Vector 形式:
public static void daxpy(double alpha, Span<double> x, Span<double> y)
{
for (var i = 0; i < x.Length; ++i)
y[i] += x[i] * alpha;
}
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和矢量
public static void daxpy(double alpha, Span<double> x, Span<double> y)
{
if (Vector.IsHardwareAccelerated)
{
var vx = x.NonPortableCast<double, Vector<double>>();
var vy = y.NonPortableCast<double, Vector<double>>();
var valpha = new Vector<double>(alpha);
for (var i = 0; i < vx.Length; ++i)
vy[i] += vx[i] * valpha;
x = x.Slice(Vector<double>.Count * vx.Length);
y = y.Slice(Vector<double>.Count * vy.Length);
}
for (var i = 0; i < x.Length; ++i)
y[i] += x[i] * alpha;
}
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所以所有这些的相对时间是:
Naive 1.0
Vector 0.8
Span Naive 2.5 ==> Update: Span Naive 1.1
Span Vector 0.9 ==> Update: Span Vector 0.6
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所以我做错了什么吗?我很难想到一个更简单的例子,所以我不这么认为?
您可能更想使用 2.1 进行测试而不是 2.0;在我的笔记本电脑上(与台式机相比,它的 SIMD 较差),我得到:
daxpy_naive x10000: 144ms
daxpy_arr_vector x10000: 77ms
daxpy_span x10000: 173ms
daxpy_vector x10000: 67ms
daxpy_vector_no_slice x10000: 67ms
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使用代码:
using System;
using System.Diagnostics;
using System.Numerics;
class Program
{
static void Main(string[] args)
{
double alpha = 0.5;
double[] x = new double[16 * 1024], y = new double[x.Length];
var rand = new Random(12345);
for (int i = 0; i < x.Length; i++)
x[i] = rand.NextDouble();
RunAll(alpha, x, y, 1, false);
RunAll(alpha, x, y, 10000, true);
}
private static void RunAll(double alpha, double[] x, double[] y, int loop, bool log)
{
GC.Collect(GC.MaxGeneration);
GC.WaitForPendingFinalizers();
var watch = Stopwatch.StartNew();
for(int i = 0; i < loop; i++)
{
daxpy_naive(alpha, x, y);
}
watch.Stop();
if (log) Console.WriteLine($"{nameof(daxpy_naive)} x{loop}: {watch.ElapsedMilliseconds}ms");
watch = Stopwatch.StartNew();
for (int i = 0; i < loop; i++)
{
daxpy_arr_vector(alpha, x, y);
}
watch.Stop();
if (log) Console.WriteLine($"{nameof(daxpy_arr_vector)} x{loop}: {watch.ElapsedMilliseconds}ms");
watch = Stopwatch.StartNew();
for (int i = 0; i < loop; i++)
{
daxpy_span(alpha, x, y);
}
watch.Stop();
if (log) Console.WriteLine($"{nameof(daxpy_span)} x{loop}: {watch.ElapsedMilliseconds}ms");
watch = Stopwatch.StartNew();
for (int i = 0; i < loop; i++)
{
daxpy_vector(alpha, x, y);
}
watch.Stop();
if (log) Console.WriteLine($"{nameof(daxpy_vector)} x{loop}: {watch.ElapsedMilliseconds}ms");
watch = Stopwatch.StartNew();
for (int i = 0; i < loop; i++)
{
daxpy_vector_no_slice(alpha, x, y);
}
watch.Stop();
if (log) Console.WriteLine($"{nameof(daxpy_vector_no_slice)} x{loop}: {watch.ElapsedMilliseconds}ms");
}
public static void daxpy_naive(double alpha, double[] x, double[] y)
{
for (var i = 0; i < x.Length; ++i)
y[i] = y[i] + x[i] * alpha;
}
public static void daxpy_arr_vector(double alpha, double[] x, double[] y)
{
var i = 0;
if (Vector.IsHardwareAccelerated)
{
var length = x.Length + 1 - Vector<double>.Count;
for (; i < length; i += Vector<double>.Count)
{
var valpha = new Vector<double>(alpha);
var vx = new Vector<double>(x, i);
var vy = new Vector<double>(y, i);
(vy + vx * valpha).CopyTo(y, i);
}
}
for (; i < x.Length; ++i)
y[i] = y[i] + x[i] * alpha;
}
public static void daxpy_span(double alpha, Span<double> x, Span<double> y)
{
for (var i = 0; i < x.Length; ++i)
y[i] += x[i] * alpha;
}
public static void daxpy_vector(double alpha, Span<double> x, Span<double> y)
{
if (Vector.IsHardwareAccelerated)
{
var vx = x.NonPortableCast<double, Vector<double>>();
var vy = y.NonPortableCast<double, Vector<double>>();
var valpha = new Vector<double>(alpha);
for (var i = 0; i < vx.Length; ++i)
vy[i] += vx[i] * valpha;
x = x.Slice(Vector<double>.Count * vx.Length);
y = y.Slice(Vector<double>.Count * vy.Length);
}
for (var i = 0; i < x.Length; ++i)
y[i] += x[i] * alpha;
}
public static void daxpy_vector_no_slice(double alpha, Span<double> x, Span<double> y)
{
int i = 0;
if (Vector.IsHardwareAccelerated)
{
var vx = x.NonPortableCast<double, Vector<double>>();
var vy = y.NonPortableCast<double, Vector<double>>();
var valpha = new Vector<double>(alpha);
for (i = 0; i < vx.Length; ++i)
vy[i] += vx[i] * valpha;
i = Vector<double>.Count * vx.Length;
}
for (; i < x.Length; ++i)
y[i] += x[i] * alpha;
}
}
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它正在使用dotnet build -c Release和dotnet run -c Release,并dotnet --version报告“2.2.0-preview1-008000”(不久前的“每日”)。
在我的桌面上,我希望差异会更好。