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HLSF use long as aloloc size

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Nitload
2026-02-23 12:32:15 +08:00
parent 4bd88ccbca
commit c155cab510
552 changed files with 154266 additions and 154330 deletions
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StgSharp.Mathematics/Numeric/MatrixCompute.Factorize.cs
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//-----------------------------------------------------------------------
// -----------------------------------------------------------------------
// file="MatrixCompute.Factorize"
// Project: StgSharp
// AuthorGroup: Nitload
// Copyright (c) Nitload. All rights reserved.
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
//
// -----------------------------------------------------------------------
// -----------------------------------------------------------------------
using StgSharp.Internal;
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
namespace StgSharp.Mathematics.Numeric
{
public static partial class MatrixCompute
{
public static unsafe void FactorizePLU(
Matrix<float> matrix,
Span<int> pivot,
Matrix<float> lower,
Matrix<float> upper
)
{
if (matrix.ColumnLength != matrix.RowLength) {
throw new InvalidOperationException("Matrix must be square.");
}
if (matrix.Layout != MatrixLayout.DenseRectangle) {
throw new NotSupportedException("Only dense square matrices are supported.");
}
int n = matrix.RowLength;
if (pivot.Length < n) {
throw new ArgumentException("Pivot span length is insufficient.", nameof(pivot));
}
if (lower.RowLength != n ||
lower.ColumnLength != n ||
lower.Layout != MatrixLayout.UpperTriangle) {
throw new ArgumentException("Lower matrix must be lower-triangular with same dimensions as input.", nameof(lower));
}
if (upper.RowLength != n ||
upper.ColumnLength != n ||
upper.Layout != MatrixLayout.UpperTriangle) {
throw new ArgumentException("Upper matrix must be upper-triangular with same dimensions as input.", nameof(upper));
}
int size = matrix.KernelColumnLength * matrix.KernelRowLength;
if (size < 256)
{
for (int i = 0; i < n; i++)
{
pivot[i] = i; // identity permutation
}
// Aggressive: always call native pivot to fetch four-column candidates
ulong* pivots = stackalloc ulong[4];
for (int kBlock = 0; kBlock < n; kBlock += 4)
{
NativeIntrinsic.Context
.mat[(int)MatrixElementType.F32].pivot(matrix.Buffer,
(ulong)(kBlock >> 2),
(ulong)(matrix.KernelRowLength - (kBlock >> 2)),
(ulong)pivots);
int colsInBlock = Math.Min(4, n - kBlock);
for (int offset = 0; offset < colsInBlock; offset++)
{
int k = kBlock + offset;
int pivotRow = k;
float maxAbs;
int candidateRow = (int)pivots[offset];
int idx = -1;
for (int r = k; r < n; r++)
{
if (pivot[r] == candidateRow)
{
idx = r;
break;
}
}
if (idx != -1)
{
pivotRow = idx;
maxAbs = MathF.Abs(matrix.GetElementUnsafe(pivot[idx], k));
} else
{
maxAbs = MathF.Abs(matrix.GetElementUnsafe(pivot[k], k));
for (int r = k + 1; r < n; r++)
{
float val = MathF.Abs(matrix.GetElementUnsafe(pivot[r], k));
if (val > maxAbs)
{
maxAbs = val;
pivotRow = r;
}
}
}
if (maxAbs == 0f) {
throw new InvalidOperationException("Zero pivot encountered in PLU.");
}
if (pivotRow != k) {
(pivot[k], pivot[pivotRow]) = (pivot[pivotRow], pivot[k]);
}
lower[k, k] = 1.0f; // unit diagonal for L
// Compute U[k, j] for j >= k
for (int j = k; j < n; j++)
{
float sum = 0f;
for (int s = 0; s < k; s++) {
sum += lower[k, s] * upper[s, j];
}
upper[k, j] = matrix.GetElementUnsafe(pivot[k], j) - sum;
}
// Compute L[i, k] for i > k
for (int i = k + 1; i < n; i++)
{
float sum = 0f;
for (int s = 0; s < k; s++) {
sum += lower[i, s] * upper[s, k];
}
float u = upper[k, k];
if (u == 0f) {
throw new InvalidOperationException("Zero pivot encountered in PLU.");
}
lower[i, k] = (matrix.GetElementUnsafe(pivot[i], k) - sum) / u;
}
}
}
// TODO: For larger kernels, consider calling native pivot helper to extract 4 pivots at once.
} else if (size < 1024) { } else { }
}
}
}
//-----------------------------------------------------------------------
// -----------------------------------------------------------------------
// file="MatrixCompute.Factorize"
// Project: StgSharp
// AuthorGroup: Nitload
// Copyright (c) Nitload. All rights reserved.
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
//
// -----------------------------------------------------------------------
// -----------------------------------------------------------------------
using StgSharp.Internal;
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
namespace StgSharp.Mathematics.Numeric
{
public static partial class MatrixCompute
{
public static unsafe void FactorizePLU(
Matrix<float> matrix,
Span<int> pivot,
Matrix<float> lower,
Matrix<float> upper
)
{
if (matrix.ColumnLength != matrix.RowLength) {
throw new InvalidOperationException("Matrix must be square.");
}
if (matrix.Layout != MatrixLayout.DenseRectangle) {
throw new NotSupportedException("Only dense square matrices are supported.");
}
int n = matrix.RowLength;
if (pivot.Length < n) {
throw new ArgumentException("Pivot span length is insufficient.", nameof(pivot));
}
if (lower.RowLength != n ||
lower.ColumnLength != n ||
lower.Layout != MatrixLayout.UpperTriangle) {
throw new ArgumentException("Lower matrix must be lower-triangular with same dimensions as input.", nameof(lower));
}
if (upper.RowLength != n ||
upper.ColumnLength != n ||
upper.Layout != MatrixLayout.UpperTriangle) {
throw new ArgumentException("Upper matrix must be upper-triangular with same dimensions as input.", nameof(upper));
}
int size = matrix.KernelColumnLength * matrix.KernelRowLength;
if (size < 256)
{
for (int i = 0; i < n; i++)
{
pivot[i] = i; // identity permutation
}
// Aggressive: always call native pivot to fetch four-column candidates
ulong* pivots = stackalloc ulong[4];
for (int kBlock = 0; kBlock < n; kBlock += 4)
{
NativeIntrinsic.Context
.mat[(int)MatrixElementType.F32].pivot(matrix.Buffer,
(ulong)(kBlock >> 2),
(ulong)(matrix.KernelRowLength - (kBlock >> 2)),
(ulong)pivots);
int colsInBlock = Math.Min(4, n - kBlock);
for (int offset = 0; offset < colsInBlock; offset++)
{
int k = kBlock + offset;
int pivotRow = k;
float maxAbs;
int candidateRow = (int)pivots[offset];
int idx = -1;
for (int r = k; r < n; r++)
{
if (pivot[r] == candidateRow)
{
idx = r;
break;
}
}
if (idx != -1)
{
pivotRow = idx;
maxAbs = MathF.Abs(matrix.GetElementUnsafe(pivot[idx], k));
} else
{
maxAbs = MathF.Abs(matrix.GetElementUnsafe(pivot[k], k));
for (int r = k + 1; r < n; r++)
{
float val = MathF.Abs(matrix.GetElementUnsafe(pivot[r], k));
if (val > maxAbs)
{
maxAbs = val;
pivotRow = r;
}
}
}
if (maxAbs == 0f) {
throw new InvalidOperationException("Zero pivot encountered in PLU.");
}
if (pivotRow != k) {
(pivot[k], pivot[pivotRow]) = (pivot[pivotRow], pivot[k]);
}
lower[k, k] = 1.0f; // unit diagonal for L
// Compute U[k, j] for j >= k
for (int j = k; j < n; j++)
{
float sum = 0f;
for (int s = 0; s < k; s++) {
sum += lower[k, s] * upper[s, j];
}
upper[k, j] = matrix.GetElementUnsafe(pivot[k], j) - sum;
}
// Compute L[i, k] for i > k
for (int i = k + 1; i < n; i++)
{
float sum = 0f;
for (int s = 0; s < k; s++) {
sum += lower[i, s] * upper[s, k];
}
float u = upper[k, k];
if (u == 0f) {
throw new InvalidOperationException("Zero pivot encountered in PLU.");
}
lower[i, k] = (matrix.GetElementUnsafe(pivot[i], k) - sum) / u;
}
}
}
// TODO: For larger kernels, consider calling native pivot helper to extract 4 pivots at once.
} else if (size < 1024) { } else { }
}
}
}