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AvxIntrinsics.cs
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// Licensed to the .NET Foundation under one or more agreements.
// The .NET Foundation licenses this file to you under the MIT license.
// See the LICENSE file in the project root for more information.
// The exported function names need to be unique (can't be disambiguated based on signature), hence
// we introduce suffix letters to indicate the general patterns used.
// * A suffix means aligned and padded for SSE operations.
// * U suffix means unaligned and unpadded.
// * P suffix means sparse (unaligned) partial vector - the vector is only part of a larger sparse vector.
// * Tran means the matrix is transposed.
using System;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using System.Runtime.Intrinsics;
using System.Runtime.Intrinsics.X86;
using Microsoft.ML.Internal.CpuMath.Core;
using nuint = System.UInt64;
namespace Microsoft.ML.Internal.CpuMath
{
internal static class AvxIntrinsics
{
public static readonly uint[] LeadingAlignmentMask = new uint[64]
{
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0xFFFFFFFF, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000000, 0x00000000,
0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000000,
0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000,
};
public static readonly uint[] TrailingAlignmentMask = new uint[64]
{
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFFFF,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFF,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
0x00000000, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
0x00000000, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
};
private static readonly Vector256<float> _absMask256 = Vector256.Create(0x7FFFFFFF).AsSingle();
private const int Vector256Alignment = 32;
[MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
private static bool HasCompatibleAlignment(AlignedArray alignedArray)
{
Contracts.AssertValue(alignedArray);
Contracts.Assert(alignedArray.Size > 0);
return (alignedArray.CbAlign % Vector256Alignment) == 0;
}
[MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
private static unsafe float* GetAlignedBase(AlignedArray alignedArray, float* unalignedBase)
{
Contracts.AssertValue(alignedArray);
float* alignedBase = unalignedBase + alignedArray.GetBase((long)unalignedBase);
Contracts.Assert(((long)alignedBase % Vector256Alignment) == 0);
return alignedBase;
}
[MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
private static Vector128<float> GetHigh(in Vector256<float> x)
=> Avx.ExtractVector128(x, 1);
[MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
private static unsafe Vector256<float> Load8(float* src, int* idx)
{
if (Avx2.IsSupported)
{
Vector256<int> idx256 = Avx.LoadVector256(idx);
return Avx2.GatherVector256(src, idx256, 4);
}
else
{
return Vector256.Create(src[idx[0]], src[idx[1]], src[idx[2]], src[idx[3]], src[idx[4]], src[idx[5]], src[idx[6]], src[idx[7]]);
}
}
[MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
private static unsafe void Store8(in Vector256<float> x, float* dst, int* idx)
{
Vector128<float> tmp = x.GetLower();
Sse.StoreScalar(dst + idx[0], tmp);
tmp = SseIntrinsics.Rotate(in tmp);
Sse.StoreScalar(dst + idx[1], tmp);
tmp = SseIntrinsics.Rotate(in tmp);
Sse.StoreScalar(dst + idx[2], tmp);
tmp = SseIntrinsics.Rotate(in tmp);
Sse.StoreScalar(dst + idx[3], tmp);
tmp = GetHigh(in x);
Sse.StoreScalar(dst + idx[4], tmp);
tmp = SseIntrinsics.Rotate(in tmp);
Sse.StoreScalar(dst + idx[5], tmp);
tmp = SseIntrinsics.Rotate(in tmp);
Sse.StoreScalar(dst + idx[6], tmp);
tmp = SseIntrinsics.Rotate(in tmp);
Sse.StoreScalar(dst + idx[7], tmp);
}
[MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
private static Vector256<float> VectorSum256(in Vector256<float> vector)
{
Vector256<float> partialSum = Avx.HorizontalAdd(vector, vector);
return Avx.HorizontalAdd(partialSum, partialSum);
}
[MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
private static Vector256<float> VectorMax256(in Vector256<float> vector)
{
// The control byte shuffles the eight 32-bit floats of partialMax: ABCD|EFGH -> BADC|FEHG.
Vector256<float> x1 = Avx.Shuffle(vector, vector, 0xB1);
// Performs element-wise maximum operation: The 1st, 3rd, 5th, and 7th 32-bit slots become
// max(A, B), max(C, D), max(E, F), and max(G, H).
Vector256<float> partialMax = Avx.Max(vector, x1);
// The control byte shuffles the eight 32-bit floats of partialMax: ABCD|EFGH -> CAAA|GEEE.
x1 = Avx.Shuffle(partialMax, partialMax, 0x02);
// Performs element-wise maximum operation: The 1st and 5th 32-bit slots become
// max(max(A, B), max(C, D)) = max(A, B, C, D) and
// max(max(E, F), max(G, H)) = max(E, F, G, H).
return Avx.Max(partialMax, x1);
}
[MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
private static Vector256<float> GetNewDst256(in Vector256<float> xDst1, in Vector256<float> xThreshold)
{
Vector256<float> signMask = Vector256.Create(-0.0f); // 0x8000 0000
Vector256<float> xSign = Avx.And(xDst1, signMask); // result = 0x8000 0000 if xDst1 is negative or 0x0000 0000 otherwise
Vector256<float> xDst1Abs = Avx.Xor(xDst1, xSign);
Vector256<float> xCond = Avx.Compare(xDst1Abs, xThreshold, FloatComparisonMode.OrderedGreaterThanNonSignaling); // result = 0xFFFF FFFF if true
Vector256<float> x2 = Avx.Xor(xSign, xThreshold); // -xThreshold if xDst1 is negative and +xThreshold otherwise
return Avx.And(Avx.Subtract(xDst1, x2), xCond);
}
[MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
private static unsafe Vector256<float> MultiplyAdd(float* psrc1, Vector256<float> src2, Vector256<float> src3)
{
if (Fma.IsSupported)
{
return Fma.MultiplyAdd(Avx.LoadVector256(psrc1), src2, src3);
}
else
{
Vector256<float> product = Avx.Multiply(src2, Avx.LoadVector256(psrc1));
return Avx.Add(product, src3);
}
}
[MethodImplAttribute(MethodImplOptions.AggressiveInlining)]
private static Vector256<float> MultiplyAdd(Vector256<float> src1, Vector256<float> src2, Vector256<float> src3)
{
if (Fma.IsSupported)
{
return Fma.MultiplyAdd(src1, src2, src3);
}
else
{
Vector256<float> product = Avx.Multiply(src1, src2);
return Avx.Add(product, src3);
}
}
// Multiply matrix times vector into vector.
public static unsafe void MatMul(AlignedArray mat, AlignedArray src, AlignedArray dst, int crow, int ccol)
{
Contracts.Assert(HasCompatibleAlignment(mat));
Contracts.Assert(HasCompatibleAlignment(src));
Contracts.Assert(HasCompatibleAlignment(dst));
fixed (float* pSrcStart = &src.Items[0])
fixed (float* pDstStart = &dst.Items[0])
fixed (float* pMatStart = &mat.Items[0])
{
float* psrc = GetAlignedBase(src, pSrcStart);
float* pdst = GetAlignedBase(dst, pDstStart);
float* pmat = GetAlignedBase(mat, pMatStart);
float* pSrcEnd = psrc + ccol;
float* pDstEnd = pdst + crow;
float* pDstCurrent = pdst;
float* pMatCurrent = pmat;
while (pDstCurrent < pDstEnd)
{
Vector256<float> res0 = Vector256<float>.Zero;
Vector256<float> res1 = res0;
Vector256<float> res2 = res0;
Vector256<float> res3 = res0;
float* pSrcCurrent = psrc;
while (pSrcCurrent < pSrcEnd)
{
float* pMatTemp = pMatCurrent;
Contracts.Assert(((nuint)(pMatTemp) % 32) == 0);
Contracts.Assert(((nuint)(pSrcCurrent) % 32) == 0);
// The JIT will only fold away unaligned loads due to the semantics behind
// the VEX-encoding of the memory operand for `ins xmm, xmm, [mem]`. Since
// modern hardware has unaligned loads that are as fast as aligned loads,
// when it doesn't cross a cache-line/page boundary, we will just assert
// that the alignment is correct and allow for the more-efficient codegen.
Vector256<float> x01 = Avx.LoadVector256(pMatTemp);
Vector256<float> x11 = Avx.LoadVector256(pMatTemp += ccol);
Vector256<float> x21 = Avx.LoadVector256(pMatTemp += ccol);
Vector256<float> x31 = Avx.LoadVector256(pMatTemp += ccol);
Vector256<float> x02 = Avx.LoadVector256(pSrcCurrent);
res0 = MultiplyAdd(x01, x02, res0);
res1 = MultiplyAdd(x11, x02, res1);
res2 = MultiplyAdd(x21, x02, res2);
res3 = MultiplyAdd(x31, x02, res3);
pSrcCurrent += 8;
pMatCurrent += 8;
}
// Add up the entries of each, with the 4 results in res0
res0 = Avx.HorizontalAdd(res0, res1);
res2 = Avx.HorizontalAdd(res2, res3);
res0 = Avx.HorizontalAdd(res0, res2);
Vector128<float> sum = Sse.Add(res0.GetLower(), GetHigh(in res0));
Sse.StoreAligned(pDstCurrent, sum);
pDstCurrent += 4;
pMatCurrent += 3 * ccol;
}
}
}
// Partial sparse source vector.
public static unsafe void MatMulP(AlignedArray mat, ReadOnlySpan<int> rgposSrc, AlignedArray src,
int posMin, int iposMin, int iposEnd, AlignedArray dst, int crow, int ccol)
{
// REVIEW: For extremely sparse inputs, interchanging the loops would
// likely be more efficient.
Contracts.Assert(HasCompatibleAlignment(mat));
Contracts.Assert(HasCompatibleAlignment(src));
Contracts.Assert(HasCompatibleAlignment(dst));
fixed (float* pSrcStart = &src.Items[0])
fixed (float* pDstStart = &dst.Items[0])
fixed (float* pMatStart = &mat.Items[0])
fixed (int* pposSrc = &rgposSrc[0])
{
float* psrc = GetAlignedBase(src, pSrcStart);
float* pdst = GetAlignedBase(dst, pDstStart);
float* pmat = GetAlignedBase(mat, pMatStart);
int* pposMin = pposSrc + iposMin;
int* pposEnd = pposSrc + iposEnd;
float* pDstEnd = pdst + crow;
float* pm0 = pmat - posMin;
float* pSrcCurrent = psrc - posMin;
float* pDstCurrent = pdst;
while (pDstCurrent < pDstEnd)
{
float* pm1 = pm0 + ccol;
float* pm2 = pm1 + ccol;
float* pm3 = pm2 + ccol;
Vector256<float> result = Vector256<float>.Zero;
int* ppos = pposMin;
while (ppos < pposEnd)
{
int col1 = *ppos;
int col2 = col1 + 4 * ccol;
Vector256<float> x1 = Vector256.Create(pm0[col1], pm1[col1], pm2[col1], pm3[col1],
pm0[col2], pm1[col2], pm2[col2], pm3[col2]);
Vector256<float> x2 = Vector256.Create(pSrcCurrent[col1]);
x2 = Avx.Multiply(x2, x1);
result = Avx.Add(result, x2);
ppos++;
}
Avx.StoreAligned(pDstCurrent, result);
pDstCurrent += 8;
pm0 += 8 * ccol;
}
}
}
public static unsafe void MatMulTran(AlignedArray mat, AlignedArray src, AlignedArray dst, int crow, int ccol)
{
Contracts.Assert(HasCompatibleAlignment(mat));
Contracts.Assert(HasCompatibleAlignment(src));
Contracts.Assert(HasCompatibleAlignment(dst));
fixed (float* pSrcStart = &src.Items[0])
fixed (float* pDstStart = &dst.Items[0])
fixed (float* pMatStart = &mat.Items[0])
{
float* psrc = GetAlignedBase(src, pSrcStart);
float* pdst = GetAlignedBase(dst, pDstStart);
float* pmat = GetAlignedBase(mat, pMatStart);
float* pSrcEnd = psrc + ccol;
float* pDstEnd = pdst + crow;
float* pSrcCurrent = psrc;
float* pMatCurrent = pmat;
// We do 4-way unrolling
Vector128<float> h01 = Sse.LoadAlignedVector128(pSrcCurrent);
// Replicate each slot of h01 (ABCD) into its own register.
Vector128<float> h11 = Sse.Shuffle(h01, h01, 0x55); // B
Vector128<float> h21 = Sse.Shuffle(h01, h01, 0xAA); // C
Vector128<float> h31 = Sse.Shuffle(h01, h01, 0xFF); // D
h01 = Sse.Shuffle(h01, h01, 0x00); // A
Vector256<float> x01 = Vector256.Create(h01, h01);
Vector256<float> x11 = Vector256.Create(h11, h11);
Vector256<float> x21 = Vector256.Create(h21, h21);
Vector256<float> x31 = Vector256.Create(h31, h31);
pSrcCurrent += 4;
float* pDstCurrent = pdst;
while (pDstCurrent < pDstEnd)
{
float* pMatTemp = pMatCurrent;
Contracts.Assert(((nuint)(pMatTemp) % 32) == 0);
// The JIT will only fold away unaligned loads due to the semantics behind
// the VEX-encoding of the memory operand for `ins xmm, xmm, [mem]`. Since
// modern hardware has unaligned loads that are as fast as aligned loads,
// when it doesn't cross a cache-line/page boundary, we will just assert
// that the alignment is correct and allow for the more-efficient codegen.
Vector256<float> x02 = Avx.LoadVector256(pMatTemp);
Vector256<float> x12 = Avx.LoadVector256(pMatTemp += crow);
Vector256<float> x22 = Avx.LoadVector256(pMatTemp += crow);
Vector256<float> x32 = Avx.LoadVector256(pMatTemp += crow);
x02 = Avx.Multiply(x01, x02);
x02 = MultiplyAdd(x11, x12, x02);
x22 = Avx.Multiply(x21, x22);
x22 = MultiplyAdd(x31, x32, x22);
x02 = Avx.Add(x02, x22);
Avx.StoreAligned(pDstCurrent, x02);
pDstCurrent += 8;
pMatCurrent += 8;
}
pMatCurrent += 3 * crow;
while (pSrcCurrent < pSrcEnd)
{
h01 = Sse.LoadAlignedVector128(pSrcCurrent);
// Replicate each slot of h01 (ABCD) into its own register.
h11 = Sse.Shuffle(h01, h01, 0x55); // B
h21 = Sse.Shuffle(h01, h01, 0xAA); // C
h31 = Sse.Shuffle(h01, h01, 0xFF); // D
h01 = Sse.Shuffle(h01, h01, 0x00); // A
x01 = Vector256.Create(h01, h01);
x11 = Vector256.Create(h11, h11);
x21 = Vector256.Create(h21, h21);
x31 = Vector256.Create(h31, h31);
pDstCurrent = pdst;
while (pDstCurrent < pDstEnd)
{
float* pMatTemp = pMatCurrent;
Contracts.Assert(((nuint)(pMatTemp) % 32) == 0);
Contracts.Assert(((nuint)(pDstCurrent) % 32) == 0);
// The JIT will only fold away unaligned loads due to the semantics behind
// the VEX-encoding of the memory operand for `ins xmm, xmm, [mem]`. Since
// modern hardware has unaligned loads that are as fast as aligned loads,
// when it doesn't cross a cache-line/page boundary, we will just assert
// that the alignment is correct and allow for the more-efficient codegen.
Vector256<float> x02 = Avx.LoadVector256(pMatTemp);
Vector256<float> x12 = Avx.LoadVector256(pMatTemp += crow);
Vector256<float> x22 = Avx.LoadVector256(pMatTemp += crow);
Vector256<float> x32 = Avx.LoadVector256(pMatTemp += crow);
Vector256<float> x3 = Avx.LoadVector256(pDstCurrent);
x02 = Avx.Multiply(x01, x02);
x02 = MultiplyAdd(x11, x12, x02);
x22 = Avx.Multiply(x21, x22);
x22 = MultiplyAdd(x31, x32, x22);
x02 = Avx.Add(x02, x22);
x3 = Avx.Add(x02, x3);
Avx.StoreAligned(pDstCurrent, x3);
pDstCurrent += 8;
pMatCurrent += 8;
}
pMatCurrent += 3 * crow;
pSrcCurrent += 4;
}
}
}
// dst[i] += scale
public static unsafe void AddScalarU(float scalar, Span<float> dst)
{
fixed (float* pdst = &MemoryMarshal.GetReference(dst))
{
float* pDstEnd = pdst + dst.Length;
float* pDstCurrent = pdst;
float* pVectorizationEnd = pDstEnd - 4;
Vector256<float> scalarVector256 = Vector256.Create(scalar);
while (pDstCurrent + 8 <= pDstEnd)
{
Vector256<float> dstVector = Avx.LoadVector256(pDstCurrent);
dstVector = Avx.Add(dstVector, scalarVector256);
Avx.Store(pDstCurrent, dstVector);
pDstCurrent += 8;
}
Vector128<float> scalarVector128 = Vector128.Create(scalar);
if (pDstCurrent <= pVectorizationEnd)
{
Vector128<float> dstVector = Sse.LoadVector128(pDstCurrent);
dstVector = Sse.Add(dstVector, scalarVector128);
Sse.Store(pDstCurrent, dstVector);
pDstCurrent += 4;
}
while (pDstCurrent < pDstEnd)
{
Vector128<float> dstVector = Sse.LoadScalarVector128(pDstCurrent);
dstVector = Sse.AddScalar(dstVector, scalarVector128);
Sse.StoreScalar(pDstCurrent, dstVector);
pDstCurrent++;
}
}
}
public static unsafe void Scale(float scale, Span<float> dst)
{
fixed (uint* pLeadingAlignmentMask = &LeadingAlignmentMask[0])
fixed (uint* pTrailingAlignmentMask = &TrailingAlignmentMask[0])
fixed (float* pd = &MemoryMarshal.GetReference(dst))
{
float* pDstCurrent = pd;
int length = dst.Length;
Vector256<float> scaleVector256 = Vector256.Create(scale);
nuint address = (nuint)(pd);
int misalignment = (int)(address % 32);
int remainder = 0;
if ((misalignment & 3) != 0)
{
// Handles cases where the data is not 32-bit aligned and we can't ever use aligned operations
remainder = length % 8;
for (float* pEnd = pd + (length - remainder); pDstCurrent < pEnd; pDstCurrent += 8)
{
Vector256<float> temp = Avx.LoadVector256(pDstCurrent);
temp = Avx.Multiply(scaleVector256, temp);
Avx.Store(pDstCurrent, temp);
}
}
else
{
if (misalignment != 0)
{
// Handle cases where the data is not 256-bit aligned by doing an unaligned read and then
// masking any elements that will be included in the first aligned read
misalignment >>= 2;
misalignment = 8 - misalignment;
Vector256<float> result = Avx.LoadVector256(pDstCurrent);
Vector256<float> leadingMask = Avx.LoadVector256(((float*)(pLeadingAlignmentMask)) + (misalignment * 8));
Vector256<float> trailingMask = Avx.LoadVector256(((float*)(pTrailingAlignmentMask)) + ((8 - misalignment) * 8));
Vector256<float> temp = Avx.And(result, trailingMask);
result = Avx.Multiply(scaleVector256, result);
// Masking operation is done at the end to avoid doing an Or operation with negative Zero.
result = Avx.And(result, leadingMask);
result = Avx.Or(result, temp);
Avx.Store(pDstCurrent, result);
pDstCurrent += misalignment;
length -= misalignment;
}
if (length > 7)
{
// Handle all the 256-bit blocks that we can now that we have offset to an aligned address
remainder = length % 8;
for (float* pEnd = pDstCurrent + (length - remainder); pDstCurrent < pEnd; pDstCurrent += 8)
{
// The JIT will only fold away unaligned loads due to the semantics behind
// the VEX-encoding of the memory operand for `ins xmm, xmm, [mem]`. Since
// modern hardware has unaligned loads that are as fast as aligned loads,
// when it doesn't cross a cache-line/page boundary, we will just assert
// that the alignment is correct and allow for the more-efficient codegen.
Contracts.Assert(((nuint)(pDstCurrent) % 32) == 0);
Vector256<float> temp = Avx.LoadVector256(pDstCurrent);
temp = Avx.Multiply(scaleVector256, temp);
Avx.Store(pDstCurrent, temp);
}
}
else
{
// Handle the "worst-case" scenario, which is when we have 8-16 elements and the input is not
// 256-bit aligned. This means we can't do any aligned loads and will just end up doing two
// unaligned loads where we mask the input each time.
remainder = length;
}
}
if (remainder != 0)
{
// Handle any trailing elements that don't fit into a 128-bit block by moving back so that the next
// unaligned load will read to the end of the array and then mask out any elements already processed
pDstCurrent -= (8 - remainder);
Vector256<float> result = Avx.LoadVector256(pDstCurrent);
Vector256<float> trailingMask = Avx.LoadVector256(((float*)(pTrailingAlignmentMask)) + (remainder * 8));
Vector256<float> leadingMask = Avx.LoadVector256(((float*)(pLeadingAlignmentMask)) + ((8 - remainder) * 8));
Vector256<float> temp = Avx.And(result, leadingMask);
result = Avx.Multiply(scaleVector256, result);
// Masking operation is done at the end to avoid doing an Or operation with negative Zero.
result = Avx.And(result, trailingMask);
result = Avx.Or(result, temp);
Avx.Store(pDstCurrent, result);
}
}
}
public static unsafe void ScaleSrcU(float scale, ReadOnlySpan<float> src, Span<float> dst, int count)
{
Contracts.Assert(count <= src.Length);
Contracts.Assert(count <= dst.Length);
fixed (float* psrc = &MemoryMarshal.GetReference(src))
fixed (float* pdst = &MemoryMarshal.GetReference(dst))
{
float* pDstEnd = pdst + count;
float* pSrcCurrent = psrc;
float* pDstCurrent = pdst;
float* pVectorizationEnd = pDstEnd - 4;
Vector256<float> scaleVector256 = Vector256.Create(scale);
while (pDstCurrent + 8 <= pDstEnd)
{
Vector256<float> srcVector = Avx.LoadVector256(pSrcCurrent);
srcVector = Avx.Multiply(srcVector, scaleVector256);
Avx.Store(pDstCurrent, srcVector);
pSrcCurrent += 8;
pDstCurrent += 8;
}
Vector128<float> scaleVector128 = Vector128.Create(scale);
if (pDstCurrent <= pVectorizationEnd)
{
Vector128<float> srcVector = Sse.LoadVector128(pSrcCurrent);
srcVector = Sse.Multiply(srcVector, scaleVector128);
Sse.Store(pDstCurrent, srcVector);
pSrcCurrent += 4;
pDstCurrent += 4;
}
while (pDstCurrent < pDstEnd)
{
Vector128<float> srcVector = Sse.LoadScalarVector128(pSrcCurrent);
srcVector = Sse.MultiplyScalar(srcVector, scaleVector128);
Sse.StoreScalar(pDstCurrent, srcVector);
pSrcCurrent++;
pDstCurrent++;
}
}
}
// dst[i] = a * (dst[i] + b)
public static unsafe void ScaleAddU(float a, float b, Span<float> dst)
{
fixed (float* pdst = &MemoryMarshal.GetReference(dst))
{
float* pDstEnd = pdst + dst.Length;
float* pDstCurrent = pdst;
float* pVectorizationEnd = pDstEnd - 4;
Vector256<float> a256 = Vector256.Create(a);
Vector256<float> b256 = Vector256.Create(b);
while (pDstCurrent + 8 <= pDstEnd)
{
Vector256<float> dstVector = Avx.LoadVector256(pDstCurrent);
dstVector = Avx.Add(dstVector, b256);
dstVector = Avx.Multiply(dstVector, a256);
Avx.Store(pDstCurrent, dstVector);
pDstCurrent += 8;
}
Vector128<float> a128 = Vector128.Create(a);
Vector128<float> b128 = Vector128.Create(b);
if (pDstCurrent <= pVectorizationEnd)
{
Vector128<float> dstVector = Sse.LoadVector128(pDstCurrent);
dstVector = Sse.Add(dstVector, b128);
dstVector = Sse.Multiply(dstVector, a128);
Sse.Store(pDstCurrent, dstVector);
pDstCurrent += 4;
}
while (pDstCurrent < pDstEnd)
{
Vector128<float> dstVector = Sse.LoadScalarVector128(pDstCurrent);
dstVector = Sse.AddScalar(dstVector, b128);
dstVector = Sse.MultiplyScalar(dstVector, a128);
Sse.StoreScalar(pDstCurrent, dstVector);
pDstCurrent++;
}
}
}
public static unsafe void AddScaleU(float scale, ReadOnlySpan<float> src, Span<float> dst, int count)
{
Contracts.Assert(count <= src.Length);
Contracts.Assert(count <= dst.Length);
fixed (float* psrc = &MemoryMarshal.GetReference(src))
fixed (float* pdst = &MemoryMarshal.GetReference(dst))
{
float* pSrcCurrent = psrc;
float* pDstCurrent = pdst;
float* pEnd = pdst + count;
Vector256<float> scaleVector256 = Vector256.Create(scale);
while (pDstCurrent + 8 <= pEnd)
{
Vector256<float> dstVector = Avx.LoadVector256(pDstCurrent);
dstVector = MultiplyAdd(pSrcCurrent, scaleVector256, dstVector);
Avx.Store(pDstCurrent, dstVector);
pSrcCurrent += 8;
pDstCurrent += 8;
}
Vector128<float> scaleVector128 = Vector128.Create(scale);
if (pDstCurrent + 4 <= pEnd)
{
Vector128<float> srcVector = Sse.LoadVector128(pSrcCurrent);
Vector128<float> dstVector = Sse.LoadVector128(pDstCurrent);
srcVector = Sse.Multiply(srcVector, scaleVector128);
dstVector = Sse.Add(dstVector, srcVector);
Sse.Store(pDstCurrent, dstVector);
pSrcCurrent += 4;
pDstCurrent += 4;
}
while (pDstCurrent < pEnd)
{
Vector128<float> srcVector = Sse.LoadScalarVector128(pSrcCurrent);
Vector128<float> dstVector = Sse.LoadScalarVector128(pDstCurrent);
srcVector = Sse.MultiplyScalar(srcVector, scaleVector128);
dstVector = Sse.AddScalar(dstVector, srcVector);
Sse.StoreScalar(pDstCurrent, dstVector);
pSrcCurrent++;
pDstCurrent++;
}
}
}
public static unsafe void AddScaleCopyU(float scale, ReadOnlySpan<float> src, ReadOnlySpan<float> dst, Span<float> result, int count)
{
Contracts.Assert(count <= src.Length);
Contracts.Assert(count <= dst.Length);
Contracts.Assert(count <= result.Length);
fixed (float* psrc = &MemoryMarshal.GetReference(src))
fixed (float* pdst = &MemoryMarshal.GetReference(dst))
fixed (float* pres = &MemoryMarshal.GetReference(result))
{
float* pResEnd = pres + count;
float* pSrcCurrent = psrc;
float* pDstCurrent = pdst;
float* pResCurrent = pres;
Vector256<float> scaleVector256 = Vector256.Create(scale);
while (pResCurrent + 8 <= pResEnd)
{
Vector256<float> dstVector = Avx.LoadVector256(pDstCurrent);
dstVector = MultiplyAdd(pSrcCurrent, scaleVector256, dstVector);
Avx.Store(pResCurrent, dstVector);
pSrcCurrent += 8;
pDstCurrent += 8;
pResCurrent += 8;
}
Vector128<float> scaleVector128 = Vector128.Create(scale);
if (pResCurrent + 4 <= pResEnd)
{
Vector128<float> srcVector = Sse.LoadVector128(pSrcCurrent);
Vector128<float> dstVector = Sse.LoadVector128(pDstCurrent);
srcVector = Sse.Multiply(srcVector, scaleVector128);
dstVector = Sse.Add(dstVector, srcVector);
Sse.Store(pResCurrent, dstVector);
pSrcCurrent += 4;
pDstCurrent += 4;
pResCurrent += 4;
}
while (pResCurrent < pResEnd)
{
Vector128<float> srcVector = Sse.LoadScalarVector128(pSrcCurrent);
Vector128<float> dstVector = Sse.LoadScalarVector128(pDstCurrent);
srcVector = Sse.MultiplyScalar(srcVector, scaleVector128);
dstVector = Sse.AddScalar(dstVector, srcVector);
Sse.StoreScalar(pResCurrent, dstVector);
pSrcCurrent++;
pDstCurrent++;
pResCurrent++;
}
}
}
public static unsafe void AddScaleSU(float scale, ReadOnlySpan<float> src, ReadOnlySpan<int> idx, Span<float> dst, int count)
{
Contracts.Assert(count <= src.Length);
Contracts.Assert(count <= dst.Length);
Contracts.Assert(count <= idx.Length);
fixed (float* psrc = &MemoryMarshal.GetReference(src))
fixed (int* pidx = &MemoryMarshal.GetReference(idx))
fixed (float* pdst = &MemoryMarshal.GetReference(dst))
{
float* pSrcCurrent = psrc;
int* pIdxCurrent = pidx;
float* pDstCurrent = pdst;
int* pEnd = pidx + count;
Vector256<float> scaleVector256 = Vector256.Create(scale);
while (pIdxCurrent + 8 <= pEnd)
{
Vector256<float> dstVector = Load8(pDstCurrent, pIdxCurrent);
dstVector = MultiplyAdd(pSrcCurrent, scaleVector256, dstVector);
Store8(in dstVector, pDstCurrent, pIdxCurrent);
pIdxCurrent += 8;
pSrcCurrent += 8;
}
Vector128<float> scaleVector128 = Vector128.Create(scale);
if (pIdxCurrent + 4 <= pEnd)
{
Vector128<float> srcVector = Sse.LoadVector128(pSrcCurrent);
Vector128<float> dstVector = SseIntrinsics.Load4(pDstCurrent, pIdxCurrent);
srcVector = Sse.Multiply(srcVector, scaleVector128);
dstVector = Sse.Add(dstVector, srcVector);
SseIntrinsics.Store4(in dstVector, pDstCurrent, pIdxCurrent);
pIdxCurrent += 4;
pSrcCurrent += 4;
}
while (pIdxCurrent < pEnd)
{
pDstCurrent[*pIdxCurrent] += scale * (*pSrcCurrent);
pIdxCurrent++;
pSrcCurrent++;
}
}
}
public static unsafe void AddU(ReadOnlySpan<float> src, Span<float> dst, int count)
{
Contracts.Assert(count <= src.Length);
Contracts.Assert(count <= dst.Length);
fixed (float* psrc = &MemoryMarshal.GetReference(src))
fixed (float* pdst = &MemoryMarshal.GetReference(dst))
{
float* pSrcCurrent = psrc;
float* pDstCurrent = pdst;
float* pEnd = psrc + count;
while (pSrcCurrent + 8 <= pEnd)
{
Vector256<float> srcVector = Avx.LoadVector256(pSrcCurrent);
Vector256<float> dstVector = Avx.LoadVector256(pDstCurrent);
Vector256<float> result = Avx.Add(srcVector, dstVector);
Avx.Store(pDstCurrent, result);
pSrcCurrent += 8;
pDstCurrent += 8;
}
if (pSrcCurrent + 4 <= pEnd)
{
Vector128<float> srcVector = Sse.LoadVector128(pSrcCurrent);
Vector128<float> dstVector = Sse.LoadVector128(pDstCurrent);
Vector128<float> result = Sse.Add(srcVector, dstVector);
Sse.Store(pDstCurrent, result);
pSrcCurrent += 4;
pDstCurrent += 4;
}
while (pSrcCurrent < pEnd)
{
Vector128<float> srcVector = Sse.LoadScalarVector128(pSrcCurrent);
Vector128<float> dstVector = Sse.LoadScalarVector128(pDstCurrent);
Vector128<float> result = Sse.AddScalar(srcVector, dstVector);
Sse.StoreScalar(pDstCurrent, result);
pSrcCurrent++;
pDstCurrent++;
}
}
}
public static unsafe void AddSU(ReadOnlySpan<float> src, ReadOnlySpan<int> idx, Span<float> dst, int count)
{
Contracts.Assert(count <= src.Length);
Contracts.Assert(count <= dst.Length);
Contracts.Assert(count <= idx.Length);
fixed (float* psrc = &MemoryMarshal.GetReference(src))
fixed (int* pidx = &MemoryMarshal.GetReference(idx))
fixed (float* pdst = &MemoryMarshal.GetReference(dst))
{
float* pSrcCurrent = psrc;
int* pIdxCurrent = pidx;
float* pDstCurrent = pdst;
int* pEnd = pidx + count;
while (pIdxCurrent + 8 <= pEnd)
{
Vector256<float> dstVector = Load8(pDstCurrent, pIdxCurrent);
Vector256<float> srcVector = Avx.LoadVector256(pSrcCurrent);
dstVector = Avx.Add(dstVector, srcVector);
Store8(in dstVector, pDstCurrent, pIdxCurrent);
pIdxCurrent += 8;
pSrcCurrent += 8;
}
if (pIdxCurrent + 4 <= pEnd)
{
Vector128<float> dstVector = SseIntrinsics.Load4(pDstCurrent, pIdxCurrent);
Vector128<float> srcVector = Sse.LoadVector128(pSrcCurrent);
dstVector = Sse.Add(dstVector, srcVector);
SseIntrinsics.Store4(in dstVector, pDstCurrent, pIdxCurrent);
pIdxCurrent += 4;
pSrcCurrent += 4;
}
while (pIdxCurrent < pEnd)
{
pDstCurrent[*pIdxCurrent] += *pSrcCurrent;
pIdxCurrent++;
pSrcCurrent++;
}
}
}
public static unsafe void MulElementWiseU(ReadOnlySpan<float> src1, ReadOnlySpan<float> src2, Span<float> dst, int count)
{
Contracts.Assert(count <= src1.Length);
Contracts.Assert(count <= src2.Length);
Contracts.Assert(count <= dst.Length);
fixed (float* psrc1 = &MemoryMarshal.GetReference(src1))
fixed (float* psrc2 = &MemoryMarshal.GetReference(src2))
fixed (float* pdst = &MemoryMarshal.GetReference(dst))
{
float* pSrc1Current = psrc1;
float* pSrc2Current = psrc2;
float* pDstCurrent = pdst;
float* pEnd = pdst + count;
while (pDstCurrent + 8 <= pEnd)
{
Vector256<float> src1Vector = Avx.LoadVector256(pSrc1Current);
Vector256<float> src2Vector = Avx.LoadVector256(pSrc2Current);
src2Vector = Avx.Multiply(src1Vector, src2Vector);
Avx.Store(pDstCurrent, src2Vector);
pSrc1Current += 8;
pSrc2Current += 8;
pDstCurrent += 8;
}
if (pDstCurrent + 4 <= pEnd)
{
Vector128<float> src1Vector = Sse.LoadVector128(pSrc1Current);
Vector128<float> src2Vector = Sse.LoadVector128(pSrc2Current);
src2Vector = Sse.Multiply(src1Vector, src2Vector);
Sse.Store(pDstCurrent, src2Vector);
pSrc1Current += 4;
pSrc2Current += 4;
pDstCurrent += 4;
}
while (pDstCurrent < pEnd)
{
Vector128<float> src1Vector = Sse.LoadScalarVector128(pSrc1Current);
Vector128<float> src2Vector = Sse.LoadScalarVector128(pSrc2Current);
src2Vector = Sse.MultiplyScalar(src1Vector, src2Vector);
Sse.StoreScalar(pDstCurrent, src2Vector);
pSrc1Current++;
pSrc2Current++;
pDstCurrent++;
}
}
}
public static unsafe float Sum(ReadOnlySpan<float> src)
{
fixed (float* pSrc = &MemoryMarshal.GetReference(src))
fixed (uint* pLeadingAlignmentMask = &LeadingAlignmentMask[0])
fixed (uint* pTrailingAlignmentMask = &TrailingAlignmentMask[0])
{
float* pValues = pSrc;
int length = src.Length;
Vector256<float> result = Vector256<float>.Zero;
nuint address = (nuint)(pValues);
int misalignment = (int)(address % 32);
int remainder = 0;
if ((misalignment & 3) != 0)
{
// Handles cases where the data is not 32-bit aligned and we can't ever use aligned operations
remainder = length % 8;
for (float* pEnd = pValues + (length - remainder); pValues < pEnd; pValues += 8)
{
result = Avx.Add(result, Avx.LoadVector256(pValues));
}
}
else
{
if (misalignment != 0)
{