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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.
using System;
using System.Collections.Generic;
using System.Linq;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using System.Text;
using System.Buffers;
using static System.Runtime.InteropServices.JavaScript.JSType;
using System.Security.Cryptography;
using System.Runtime.Serialization;
using System.Diagnostics.CodeAnalysis;
#pragma warning disable CS8601 // Possible null reference assignment.
#pragma warning disable CS8618 // Non-nullable field must contain a non-null value when exiting constructor. Consider declaring as nullable.
namespace System.Numerics.Tensors
{
/// <summary>
/// Provides methods for tensor operations.
/// </summary>
[Experimental(Experimentals.TensorTDiagId, UrlFormat = Experimentals.SharedUrlFormat)]
public static partial class Tensor
{
#region AsReadOnlySpan
/// <summary>
/// Extension method to more easily create a TensorSpan from an array.
/// </summary>
/// <typeparam name="T">The type of the elements in the array</typeparam>
/// <param name="array">The <see cref="Array"/> with the data</param>
/// <param name="lengths">The shape for the <see cref="TensorSpan{T}"/></param>
/// <returns></returns>
public static ReadOnlyTensorSpan<T> AsReadOnlyTensorSpan<T>(this T[]? array, params scoped ReadOnlySpan<nint> lengths) => new(array, 0, lengths, default);
#endregion
#region AsTensorSpan
/// <summary>
/// Extension method to more easily create a TensorSpan from an array.
/// </summary>
/// <typeparam name="T">The type of the elements in the array</typeparam>
/// <param name="array">The <see cref="Array"/> with the data</param>
/// <param name="lengths">The shape for the <see cref="TensorSpan{T}"/></param>
/// <returns></returns>
public static TensorSpan<T> AsTensorSpan<T>(this T[]? array, params scoped ReadOnlySpan<nint> lengths) => new(array, 0, lengths, default);
#endregion
#region Average
/// <summary>
/// Returns the average of the elements in the <paramref name="x"/> tensor.
/// </summary>
/// <param name="x">The <see cref="TensorSpan{T}"/> to take the mean of.</param>
/// <returns><typeparamref name="T"/> representing the mean.</returns>
public static T Average<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : IFloatingPoint<T>
{
T sum = Sum(x);
return T.CreateChecked(sum / T.CreateChecked(x.FlattenedLength));
}
#endregion
#region Broadcast
/// <summary>
/// Broadcast the data from <paramref name="source"/> to the smallest broadcastable shape compatible with <paramref name="lengthsSource"/>. Creates a new <see cref="Tensor{T}"/> and allocates new memory.
/// </summary>
/// <param name="source">Input <see cref="Tensor{T}"/>.</param>
/// <param name="lengthsSource">Other <see cref="Tensor{T}"/> to make shapes broadcastable.</param>
public static Tensor<T> Broadcast<T>(scoped in ReadOnlyTensorSpan<T> source, scoped in ReadOnlyTensorSpan<T> lengthsSource)
{
return Broadcast(source, lengthsSource.Lengths);
}
/// <summary>
/// Broadcast the data from <paramref name="source"/> to the new shape <paramref name="lengths"/>. Creates a new <see cref="Tensor{T}"/> and allocates new memory.
/// If the shape of the <paramref name="source"/> is not compatible with the new shape, an exception is thrown.
/// </summary>
/// <param name="source">Input <see cref="Tensor{T}"/>.</param>
/// <param name="lengths"><see cref="ReadOnlySpan{T}"/> of the desired new shape.</param>
/// <exception cref="ArgumentException">Thrown when the shapes are not broadcast compatible.</exception>
public static Tensor<T> Broadcast<T>(scoped in ReadOnlyTensorSpan<T> source, scoped ReadOnlySpan<nint> lengths)
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(source.Lengths, lengths);
ReadOnlyTensorSpan<T> intermediate = LazyBroadcast(source, newSize);
Tensor<T> output = Tensor.CreateUninitialized<T>(intermediate.Lengths);
intermediate.FlattenTo(MemoryMarshal.CreateSpan(ref output._values[0], (int)output.FlattenedLength));
return output;
}
#endregion
#region BroadcastTo
/// <summary>
/// Broadcast the data from <paramref name="source"/> to <paramref name="destination"/>.
/// </summary>
/// <param name="source">Input <see cref="TensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static void BroadcastTo<T>(this Tensor<T> source, in TensorSpan<T> destination)
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(source.Lengths, destination.Lengths);
if (!destination.Lengths.SequenceEqual(newSize))
ThrowHelper.ThrowArgument_LengthsNotBroadcastCompatible();
ReadOnlyTensorSpan<T> intermediate = LazyBroadcast(source, newSize);
intermediate.FlattenTo(MemoryMarshal.CreateSpan(ref destination._reference, (int)destination.FlattenedLength));
}
/// <summary>
/// Broadcast the data from <paramref name="source"/> to <paramref name="destination"/>.
/// </summary>
/// <param name="source">Input <see cref="TensorSpan{T}"/>.</param>
/// <param name="destination">Other <see cref="TensorSpan{T}"/> to make shapes broadcastable.</param>
public static void BroadcastTo<T>(in this TensorSpan<T> source, in TensorSpan<T> destination)
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(source.Lengths, destination.Lengths);
if (!destination.Lengths.SequenceEqual(newSize))
ThrowHelper.ThrowArgument_LengthsNotBroadcastCompatible();
ReadOnlyTensorSpan<T> intermediate = LazyBroadcast(source, newSize);
intermediate.FlattenTo(MemoryMarshal.CreateSpan(ref destination._reference, (int)destination.FlattenedLength));
}
/// <summary>
/// Broadcast the data from <paramref name="source"/> to <paramref name="destination"/>.
/// </summary>
/// <param name="source">Input <see cref="TensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static void BroadcastTo<T>(in this ReadOnlyTensorSpan<T> source, in TensorSpan<T> destination)
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(source.Lengths, destination.Lengths);
if (!destination.Lengths.SequenceEqual(newSize))
ThrowHelper.ThrowArgument_LengthsNotBroadcastCompatible();
ReadOnlyTensorSpan<T> intermediate = LazyBroadcast(source, newSize);
intermediate.FlattenTo(MemoryMarshal.CreateSpan(ref destination._reference, (int)destination.FlattenedLength));
}
// Lazy/non-copy broadcasting, internal only for now.
/// <summary>
/// Broadcast the data from <paramref name="input"/> to the new shape <paramref name="shape"/>. Creates a new <see cref="Tensor{T}"/>
/// but no memory is allocated. It manipulates the strides to achieve this affect.
/// If the shape of the <paramref name="input"/> is not compatible with the new shape, an exception is thrown.
/// </summary>
/// <param name="input">Input <see cref="TensorSpan{T}"/>.</param>
/// <param name="shape"><see cref="ReadOnlySpan{T}"/> of the desired new shape.</param>
/// <exception cref="ArgumentException">Thrown when the shapes are not broadcast compatible.</exception>
internal static TensorSpan<T> LazyBroadcast<T>(in TensorSpan<T> input, ReadOnlySpan<nint> shape)
{
if (input.Lengths.SequenceEqual(shape))
return new TensorSpan<T>(ref input._reference, shape, input.Strides, input._shape._memoryLength);
if (!TensorHelpers.IsBroadcastableTo(input.Lengths, shape))
ThrowHelper.ThrowArgument_LengthsNotBroadcastCompatible();
nint newSize = TensorSpanHelpers.CalculateTotalLength(shape);
if (newSize == input.FlattenedLength)
return Reshape(input, shape);
nint[] intermediateShape = TensorHelpers.GetIntermediateShape(input.Lengths, shape.Length);
nint[] strides = new nint[shape.Length];
nint stride = 1;
for (int i = strides.Length - 1; i >= 0; i--)
{
if ((intermediateShape[i] == 1 && shape[i] != 1) || (intermediateShape[i] == 1 && shape[i] == 1))
strides[i] = 0;
else
{
strides[i] = stride;
stride *= intermediateShape[i];
}
}
TensorSpan<T> output = new TensorSpan<T>(ref input._reference, shape, strides, input._shape._memoryLength);
return output;
}
// Lazy/non-copy broadcasting, internal only for now.
/// <summary>
/// Broadcast the data from <paramref name="input"/> to the new shape <paramref name="shape"/>. Creates a new <see cref="Tensor{T}"/>
/// but no memory is allocated. It manipulates the strides to achieve this affect.
/// If the shape of the <paramref name="input"/> is not compatible with the new shape, an exception is thrown.
/// </summary>
/// <param name="input">Input <see cref="TensorSpan{T}"/>.</param>
/// <param name="shape"><see cref="ReadOnlySpan{T}"/> of the desired new shape.</param>
/// <exception cref="ArgumentException">Thrown when the shapes are not broadcast compatible.</exception>
internal static ReadOnlyTensorSpan<T> LazyBroadcast<T>(in ReadOnlyTensorSpan<T> input, ReadOnlySpan<nint> shape)
{
if (input.Lengths.SequenceEqual(shape))
return new TensorSpan<T>(ref input._reference, shape, input.Strides, input._shape._memoryLength);
if (!TensorHelpers.IsBroadcastableTo(input.Lengths, shape))
ThrowHelper.ThrowArgument_LengthsNotBroadcastCompatible();
nint newSize = TensorSpanHelpers.CalculateTotalLength(shape);
if (newSize == input.FlattenedLength)
return Reshape(input, shape);
nint[] intermediateShape = TensorHelpers.GetIntermediateShape(input.Lengths, shape.Length);
nint[] strides = new nint[shape.Length];
nint stride = 1;
for (int i = strides.Length - 1; i >= 0; i--)
{
if ((intermediateShape[i] == 1 && shape[i] != 1) || (intermediateShape[i] == 1 && shape[i] == 1))
strides[i] = 0;
else
{
strides[i] = stride;
stride *= intermediateShape[i];
}
}
TensorSpan<T> output = new TensorSpan<T>(ref input._reference, shape, strides, input._shape._memoryLength);
return output;
}
// Lazy/non-copy broadcasting, internal only for now.
/// <summary>
/// Broadcast the data from <paramref name="input"/> to the new shape <paramref name="lengths"/>. Creates a new <see cref="Tensor{T}"/>
/// but no memory is allocated. It manipulates the strides to achieve this affect.
/// If the shape of the <paramref name="input"/> is not compatible with the new shape, an exception is thrown.
/// </summary>
/// <param name="input">Input <see cref="Tensor{T}"/>.</param>
/// <param name="lengths"><see cref="ReadOnlySpan{T}"/> of the desired new shape.</param>
/// <exception cref="ArgumentException">Thrown when the shapes are not broadcast compatible.</exception>
internal static Tensor<T> LazyBroadcast<T>(Tensor<T> input, ReadOnlySpan<nint> lengths)
{
if (input.Lengths.SequenceEqual(lengths))
return new Tensor<T>(input._values, lengths, false);
if (!TensorHelpers.IsBroadcastableTo(input.Lengths, lengths))
ThrowHelper.ThrowArgument_LengthsNotBroadcastCompatible();
nint newSize = TensorSpanHelpers.CalculateTotalLength(lengths);
if (newSize == input.FlattenedLength)
return Reshape(input, lengths);
nint[] intermediateShape = TensorHelpers.GetIntermediateShape(input.Lengths, lengths.Length);
nint[] strides = new nint[lengths.Length];
nint stride = 1;
for (int i = strides.Length - 1; i >= 0; i--)
{
if ((intermediateShape[i] == 1 && lengths[i] != 1) || (intermediateShape[i] == 1 && lengths[i] == 1))
strides[i] = 0;
else
{
strides[i] = stride;
stride *= intermediateShape[i];
}
}
Tensor<T> output = new Tensor<T>(input._values, lengths, strides);
return output;
}
#endregion
#region Concatenate
/// <summary>
/// Join a sequence of tensors along an existing axis.
/// </summary>
/// <param name="tensors">The tensors must have the same shape, except in the dimension corresponding to axis (the first, by default).</param>
public static Tensor<T> Concatenate<T>(params scoped ReadOnlySpan<Tensor<T>> tensors)
{
return ConcatenateOnDimension(0, tensors);
}
/// <summary>
/// Join a sequence of tensors along an existing axis.
/// </summary>
/// <param name="tensors">The tensors must have the same shape, except in the dimension corresponding to axis (the first, by default).</param>
/// <param name="dimension">The axis along which the tensors will be joined. If axis is -1, arrays are flattened before use. Default is 0.</param>
public static Tensor<T> ConcatenateOnDimension<T>(int dimension, params scoped ReadOnlySpan<Tensor<T>> tensors)
{
if (tensors.Length < 2)
ThrowHelper.ThrowArgument_ConcatenateTooFewTensors();
if (dimension < -1 || dimension > tensors[0].Rank)
ThrowHelper.ThrowArgument_InvalidAxis();
// Calculate total space needed.
nint totalLength = 0;
for (int i = 0; i < tensors.Length; i++)
totalLength += TensorSpanHelpers.CalculateTotalLength(tensors[i].Lengths);
nint sumOfAxis = 0;
// If axis != -1, make sure all dimensions except the one to concatenate on match.
if (dimension != -1)
{
sumOfAxis = tensors[0].Lengths[dimension];
for (int i = 1; i < tensors.Length; i++)
{
if (tensors[0].Rank != tensors[i].Rank)
ThrowHelper.ThrowArgument_InvalidConcatenateShape();
for (int j = 0; j < tensors[0].Rank; j++)
{
if (j != dimension)
{
if (tensors[0].Lengths[j] != tensors[i].Lengths[j])
ThrowHelper.ThrowArgument_InvalidConcatenateShape();
}
}
sumOfAxis += tensors[i].Lengths[dimension];
}
}
Tensor<T> tensor;
if (dimension == -1)
{
tensor = Tensor.Create<T>([totalLength]);
}
else
{
nint[] lengths = new nint[tensors[0].Rank];
tensors[0].Lengths.CopyTo(lengths);
lengths[dimension] = sumOfAxis;
tensor = Tensor.Create<T>(lengths);
}
ConcatenateOnDimension(dimension, tensors, tensor);
return tensor;
}
/// <summary>
/// Join a sequence of tensors along an existing axis.
/// </summary>
/// <param name="tensors">The tensors must have the same shape, except in the dimension corresponding to axis (the first, by default).</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Concatenate<T>(scoped ReadOnlySpan<Tensor<T>> tensors, in TensorSpan<T> destination)
{
return ref ConcatenateOnDimension(0, tensors, destination);
}
/// <summary>
/// Join a sequence of tensors along an existing axis.
/// </summary>
/// <param name="tensors">The tensors must have the same shape, except in the dimension corresponding to axis (the first, by default).</param>
/// <param name="dimension">The axis along which the tensors will be joined. If axis is -1, arrays are flattened before use. Default is 0.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> ConcatenateOnDimension<T>(int dimension, scoped ReadOnlySpan<Tensor<T>> tensors, in TensorSpan<T> destination)
{
if (tensors.Length < 2)
ThrowHelper.ThrowArgument_ConcatenateTooFewTensors();
if (dimension < -1 || dimension > tensors[0].Rank)
ThrowHelper.ThrowArgument_InvalidAxis();
// Calculate total space needed.
nint totalLength = 0;
for (int i = 0; i < tensors.Length; i++)
totalLength += TensorSpanHelpers.CalculateTotalLength(tensors[i].Lengths);
nint sumOfAxis = 0;
// If axis != -1, make sure all dimensions except the one to concatenate on match.
if (dimension != -1)
{
sumOfAxis = tensors[0].Lengths[dimension];
for (int i = 1; i < tensors.Length; i++)
{
if (tensors[0].Rank != tensors[i].Rank)
ThrowHelper.ThrowArgument_InvalidConcatenateShape();
for (int j = 0; j < tensors[0].Rank; j++)
{
if (j != dimension)
{
if (tensors[0].Lengths[j] != tensors[i].Lengths[j])
ThrowHelper.ThrowArgument_InvalidConcatenateShape();
}
}
sumOfAxis += tensors[i].Lengths[dimension];
}
// Make sure the destination tensor has the correct shape.
nint[] lengths = new nint[tensors[0].Rank];
tensors[0].Lengths.CopyTo(lengths);
lengths[dimension] = sumOfAxis;
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
}
Span<T> dstSpan = MemoryMarshal.CreateSpan(ref destination._reference, (int)totalLength);
nint valuesCopied = 0;
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (tensors[0].Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(tensors[0].Rank);
curIndex = curIndexArray.AsSpan(0, tensors[0].Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[tensors[0].Rank];
}
curIndex.Clear();
nint srcIndex;
nint copyLength;
while (valuesCopied < totalLength)
{
for (int i = 0; i < tensors.Length; i++)
{
srcIndex = TensorSpanHelpers.ComputeLinearIndex(curIndex, tensors[i].Strides, tensors[i].Lengths);
copyLength = CalculateCopyLength(tensors[i].Lengths, dimension);
Span<T> srcSpan = MemoryMarshal.CreateSpan(ref tensors[i]._values[srcIndex], (int)copyLength);
TensorSpanHelpers.Memmove(dstSpan, srcSpan, copyLength, valuesCopied);
valuesCopied += copyLength;
}
TensorSpanHelpers.AdjustIndexes(dimension - 1, 1, curIndex, tensors[0].Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
private static nint CalculateCopyLength(ReadOnlySpan<nint> lengths, int startingAxis)
{
// When starting axis is -1 we want all the data at once same as if starting axis is 0
if (startingAxis == -1)
startingAxis = 0;
nint length = 1;
for (int i = startingAxis; i < lengths.Length; i++)
{
length *= lengths[i];
}
return length;
}
#endregion
#region Equals
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> for equality. If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size
/// before they are compared. It returns a <see cref="TensorSpan{Boolean}"/> where the value is true if the elements are equal and false if they are not."/>
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <returns>A <see cref="TensorSpan{Boolean}"/> where the value is true if the elements are equal and false if they are not.</returns>
public static Tensor<bool> Equals<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IEqualityOperators<T, T, bool>
{
Tensor<bool> result;
if (TensorHelpers.AreLengthsTheSame(x, y))
{
result = Tensor.Create<bool>(x.Lengths, false);
}
else
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
result = Tensor.Create<bool>(newSize, false);
}
Equals(x, y, result);
return result;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> for equality. If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size
/// before they are compared. It returns a <see cref="TensorSpan{Boolean}"/> where the value is true if the elements are equal and false if they are not."/>
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="destination"></param>
/// <returns>A <see cref="TensorSpan{Boolean}"/> where the value is true if the elements are equal and false if they are not.</returns>
public static ref readonly TensorSpan<bool> Equals<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<bool> destination)
where T : IEqualityOperators<T, T, bool>
{
scoped ReadOnlyTensorSpan<T> left;
scoped ReadOnlyTensorSpan<T> right;
if (TensorHelpers.AreLengthsTheSame(x, y))
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, x.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
left = x;
right = y;
}
else
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, newSize))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
left = LazyBroadcast(x, newSize);
right = LazyBroadcast(y, newSize);
}
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (right.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(right.Rank);
curIndex = curIndexArray.AsSpan(0, right.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[right.Rank];
}
curIndex.Clear();
for (int i = 0; i < left.FlattenedLength; i++)
{
destination[curIndex] = left[curIndex] == right[curIndex];
TensorSpanHelpers.AdjustIndexes(right.Rank - 1, 1, curIndex, right.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> for equality. If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size
/// before they are compared. It returns a <see cref="TensorSpan{Boolean}"/> where the value is true if the elements are equal and false if they are not."/>
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second value to compare.</param>
/// <returns>A <see cref="TensorSpan{Boolean}"/> where the value is true if the elements are equal and false if they are not.</returns>
public static Tensor<bool> Equals<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IEqualityOperators<T, T, bool>
{
Tensor<bool> result = Tensor.Create<bool>(x.Lengths, false);
Equals(x, y, result);
return result;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> for equality. If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size
/// before they are compared. It returns a <see cref="TensorSpan{Boolean}"/> where the value is true if the elements are equal and false if they are not."/>
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second value to compare.</param>
/// <param name="destination"></param>
/// <returns>A <see cref="TensorSpan{Boolean}"/> where the value is true if the elements are equal and false if they are not.</returns>
public static ref readonly TensorSpan<bool> Equals<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<bool> destination)
where T : IEqualityOperators<T, T, bool>
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, x.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
destination[curIndex] = x[curIndex] == y;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
#endregion
#region EqualsAll
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="x"/> are equal to <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are eqaul to <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are equal to <paramref name="y"/>.</returns>
public static bool EqualsAll<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IEqualityOperators<T, T, bool>
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
ReadOnlyTensorSpan<T> broadcastedLeft = LazyBroadcast(x, newSize);
ReadOnlyTensorSpan<T> broadcastedRight = LazyBroadcast(y, newSize);
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (broadcastedLeft.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(broadcastedRight.Rank);
curIndex = curIndexArray.AsSpan(0, broadcastedRight.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[broadcastedRight.Rank];
}
curIndex.Clear();
for (int i = 0; i < broadcastedLeft.FlattenedLength; i++)
{
if (broadcastedLeft[curIndex] != broadcastedRight[curIndex])
return false;
TensorSpanHelpers.AdjustIndexes(broadcastedRight.Rank - 1, 1, curIndex, broadcastedRight.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="x"/> are equal to <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are eqaul to <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are equal to <paramref name="y"/>.</returns>
public static bool EqualsAll<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IEqualityOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
if (x[curIndex] != y)
return false;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
#endregion
#region EqualsAny
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="x"/> are equal to <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are equal to <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are equal to <paramref name="y"/>.</returns>
public static bool EqualsAny<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IEqualityOperators<T, T, bool>
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
ReadOnlyTensorSpan<T> broadcastedLeft = LazyBroadcast(x, newSize);
ReadOnlyTensorSpan<T> broadcastedRight = LazyBroadcast(y, newSize);
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (broadcastedRight.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(broadcastedRight.Lengths.Length);
curIndex = curIndexArray.AsSpan(0, broadcastedRight.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[broadcastedRight.Lengths.Length];
}
curIndex.Clear();
for (int i = 0; i < broadcastedLeft.FlattenedLength; i++)
{
if (broadcastedLeft[curIndex] == broadcastedRight[curIndex])
return true;
TensorSpanHelpers.AdjustIndexes(broadcastedRight.Rank - 1, 1, curIndex, broadcastedRight.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="x"/> are equal to <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are equal to <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Value to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are equal to <paramref name="y"/>.</returns>
public static bool EqualsAny<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IEqualityOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
if (x[curIndex] == y)
return true;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
#endregion
#region FilteredUpdate
/// <summary>
/// Updates the <paramref name="tensor"/> tensor with the <paramref name="value"/> where the <paramref name="filter"/> is true.
/// </summary>
/// <param name="tensor">Input <see cref="Tensor{T}"/>.</param>
/// <param name="filter">Input filter where if the index is true then it will update the <paramref name="tensor"/>.</param>
/// <param name="value">Value to update in the <paramref name="tensor"/>.</param>
public static ref readonly TensorSpan<T> FilteredUpdate<T>(in this TensorSpan<T> tensor, scoped in ReadOnlyTensorSpan<bool> filter, T value)
{
if (filter.Lengths.Length != tensor.Lengths.Length)
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(filter));
Span<T> srcSpan = MemoryMarshal.CreateSpan(ref tensor._reference, (int)tensor._shape._memoryLength);
Span<bool> filterSpan = MemoryMarshal.CreateSpan(ref filter._reference, (int)tensor._shape._memoryLength);
for (int i = 0; i < filterSpan.Length; i++)
{
if (filterSpan[i])
{
srcSpan[i] = value;
}
}
return ref tensor;
}
/// <summary>
/// Updates the <paramref name="tensor"/> tensor with the <paramref name="values"/> where the <paramref name="filter"/> is true.
/// If dimensions are not the same an exception is thrown.
/// </summary>
/// <param name="tensor">Input <see cref="Tensor{T}"/>.</param>
/// <param name="filter">Input filter where if the index is true then it will update the <paramref name="tensor"/>.</param>
/// <param name="values">Values to update in the <paramref name="tensor"/>.</param>
public static ref readonly TensorSpan<T> FilteredUpdate<T>(in this TensorSpan<T> tensor, scoped in ReadOnlyTensorSpan<bool> filter, scoped in ReadOnlyTensorSpan<T> values)
{
if (filter.Lengths.Length != tensor.Lengths.Length)
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(filter));
if (values.Rank != 1)
ThrowHelper.ThrowArgument_1DTensorRequired(nameof(values));
Span<T> dstSpan = MemoryMarshal.CreateSpan(ref tensor._reference, (int)tensor._shape._memoryLength);
Span<bool> filterSpan = MemoryMarshal.CreateSpan(ref filter._reference, (int)tensor._shape._memoryLength);
Span<T> valuesSpan = MemoryMarshal.CreateSpan(ref values._reference, (int)values._shape._memoryLength);
int index = 0;
for (int i = 0; i < filterSpan.Length; i++)
{
if (filterSpan[i])
{
dstSpan[i] = valuesSpan[index++];
}
}
return ref tensor;
}
#endregion
#region GreaterThan
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see which elements of <paramref name="x"/> are greater than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <returns>A <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/> and
/// false if they are not.</returns>
public static Tensor<bool> GreaterThan<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
Tensor<bool> result;
if (TensorHelpers.AreLengthsTheSame(x, y))
{
result = Tensor.Create<bool>(x.Lengths, false);
}
else
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
result = Tensor.Create<bool>(newSize, false);
}
GreaterThan(x, y, result);
return result;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see which elements of <paramref name="x"/> are greater than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="destination"></param>
/// <returns>A <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/> and
/// false if they are not.</returns>
public static ref readonly TensorSpan<bool> GreaterThan<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<bool> destination)
where T : IComparisonOperators<T, T, bool>
{
scoped ReadOnlyTensorSpan<T> left;
scoped ReadOnlyTensorSpan<T> right;
if (TensorHelpers.AreLengthsTheSame(x, y))
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, x.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
left = x;
right = y;
}
else
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, newSize))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
left = LazyBroadcast(x, newSize);
right = LazyBroadcast(y, newSize);
}
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (right.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(right.Rank);
curIndex = curIndexArray.AsSpan(0, right.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[right.Rank];
}
curIndex.Clear();
for (int i = 0; i < left.FlattenedLength; i++)
{
destination[curIndex] = left[curIndex] > right[curIndex];
TensorSpanHelpers.AdjustIndexes(right.Rank - 1, 1, curIndex, right.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
/// <summary>
/// Compares the elements of a <see cref="ReadOnlyTensorSpan{T}"/> to see which elements are greater than <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not.</returns>
public static Tensor<bool> GreaterThan<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IComparisonOperators<T, T, bool>
{
Tensor<bool> result = Tensor.Create<bool>(x.Lengths, false);
GreaterThan(x, y, result);
return result;
}
/// <summary>
/// Compares the elements of a <see cref="ReadOnlyTensorSpan{T}"/> to see which elements are greater than <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <param name="destination"></param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not.</returns>
public static ref readonly TensorSpan<bool> GreaterThan<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<bool> destination)
where T : IComparisonOperators<T, T, bool>
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, x.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
destination[curIndex] = x[curIndex] > y;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
/// <summary>
/// Compares <paramref name="x"/> to see which elements are greater than <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not.</returns>
public static Tensor<bool> GreaterThan<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
Tensor<bool> result = Tensor.Create<bool>(y.Lengths, false);
GreaterThan(x, y, result);
return result;
}
/// <summary>
/// Compares <paramref name="x"/> to see which elements are greater than <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <param name="destination"></param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not.</returns>
public static ref readonly TensorSpan<bool> GreaterThan<T>(T x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<bool> destination)
where T : IComparisonOperators<T, T, bool>
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, y.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (y.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(y.Rank);
curIndex = curIndexArray.AsSpan(0, y.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[y.Rank];
}
curIndex.Clear();
for (int i = 0; i < y.FlattenedLength; i++)
{
destination[curIndex] = x > y[curIndex];
TensorSpanHelpers.AdjustIndexes(y.Rank - 1, 1, curIndex, y.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
#endregion
#region GreaterThanOrEqual
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see which elements of <paramref name="x"/> are greater than or equal to <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <returns>A <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/> and
/// false if they are not.</returns>
public static Tensor<bool> GreaterThanOrEqual<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
Tensor<bool> result;
if (TensorHelpers.AreLengthsTheSame(x, y))
{
result = Tensor.Create<bool>(x.Lengths, false);
}
else
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
result = Tensor.Create<bool>(newSize, false);
}
GreaterThanOrEqual(x, y, result);
return result;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see which elements of <paramref name="x"/> are greater than or equal to <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="destination"></param>
/// <returns>A <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/> and
/// false if they are not.</returns>
public static ref readonly TensorSpan<bool> GreaterThanOrEqual<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<bool> destination)
where T : IComparisonOperators<T, T, bool>
{
scoped ReadOnlyTensorSpan<T> left;
scoped ReadOnlyTensorSpan<T> right;
if (TensorHelpers.AreLengthsTheSame(x, y))
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, x.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
left = x;
right = y;
}
else
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, newSize))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
left = LazyBroadcast(x, newSize);
right = LazyBroadcast(y, newSize);
}
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (right.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(right.Rank);
curIndex = curIndexArray.AsSpan(0, right.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[right.Rank];
}
curIndex.Clear();
for (int i = 0; i < left.FlattenedLength; i++)
{
destination[curIndex] = left[curIndex] >= right[curIndex];
TensorSpanHelpers.AdjustIndexes(right.Rank - 1, 1, curIndex, right.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
/// <summary>
/// Compares the elements of a <see cref="ReadOnlyTensorSpan{T}"/> to see which elements are greater than or equal to <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not.</returns>
public static Tensor<bool> GreaterThanOrEqual<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IComparisonOperators<T, T, bool>
{
Tensor<bool> result = Tensor.Create<bool>(x.Lengths, false);
GreaterThanOrEqual(x, y, result);
return result;
}
/// <summary>
/// Compares the elements of a <see cref="ReadOnlyTensorSpan{T}"/> to see which elements are greater than or equal to <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <param name="destination"></param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not.</returns>
public static ref readonly TensorSpan<bool> GreaterThanOrEqual<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<bool> destination)
where T : IComparisonOperators<T, T, bool>
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, x.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
destination[curIndex] = x[curIndex] >= y;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
/// <summary>
/// Compares <paramref name="x"/> to see which elements are greater than or equal to <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not.</returns>
public static Tensor<bool> GreaterThanOrEqual<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
Tensor<bool> result = Tensor.Create<bool>(y.Lengths, false);
GreaterThanOrEqual(x, y, result);
return result;
}
/// <summary>
/// Compares <paramref name="x"/> to see which elements are greater than or equal to <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <param name="destination"></param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are greater than <paramref name="y"/>
/// and false if they are not.</returns>
public static ref readonly TensorSpan<bool> GreaterThanOrEqual<T>(T x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<bool> destination)
where T : IComparisonOperators<T, T, bool>
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, y.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (y.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(y.Rank);
curIndex = curIndexArray.AsSpan(0, y.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[y.Rank];
}
curIndex.Clear();
for (int i = 0; i < y.FlattenedLength; i++)
{
destination[curIndex] = x >= y[curIndex];
TensorSpanHelpers.AdjustIndexes(y.Rank - 1, 1, curIndex, y.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
#endregion
#region GreaterThanAny
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="x"/> are greater than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are greater than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are greater than <paramref name="y"/>.</returns>
public static bool GreaterThanAny<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
ReadOnlyTensorSpan<T> broadcastedLeft = LazyBroadcast(x, newSize);
ReadOnlyTensorSpan<T> broadcastedRight = LazyBroadcast(y, newSize);
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (broadcastedRight.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(broadcastedRight.Lengths.Length);
curIndex = curIndexArray.AsSpan(0, broadcastedRight.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[broadcastedRight.Lengths.Length];
}
curIndex.Clear();
for (int i = 0; i < broadcastedLeft.FlattenedLength; i++)
{
if (broadcastedLeft[curIndex] > broadcastedRight[curIndex])
return true;
TensorSpanHelpers.AdjustIndexes(broadcastedRight.Rank - 1, 1, curIndex, broadcastedRight.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="x"/> are greater than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are greater than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Value to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are greater than <paramref name="y"/>.</returns>
public static bool GreaterThanAny<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
if (x[curIndex] > y)
return true;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="y"/> are greater than <paramref name="x"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="y"/> are greater than <paramref name="x"/>.
/// </summary>
/// <param name="y">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="x">Value to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="y"/> are greater than <paramref name="x"/>.</returns>
public static bool GreaterThanAny<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (y.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(y.Rank);
curIndex = curIndexArray.AsSpan(0, y.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[y.Rank];
}
curIndex.Clear();
for (int i = 0; i < y.FlattenedLength; i++)
{
if (x > y[curIndex])
return true;
TensorSpanHelpers.AdjustIndexes(y.Rank - 1, 1, curIndex, y.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
#endregion
#region GreaterThanOrEqualAny
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="x"/> are greater than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are greater than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are greater than <paramref name="y"/>.</returns>
public static bool GreaterThanOrEqualAny<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
ReadOnlyTensorSpan<T> broadcastedLeft = LazyBroadcast(x, newSize);
ReadOnlyTensorSpan<T> broadcastedRight = LazyBroadcast(y, newSize);
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (broadcastedRight.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(broadcastedRight.Lengths.Length);
curIndex = curIndexArray.AsSpan(0, broadcastedRight.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[broadcastedRight.Lengths.Length];
}
curIndex.Clear();
for (int i = 0; i < broadcastedLeft.FlattenedLength; i++)
{
if (broadcastedLeft[curIndex] >= broadcastedRight[curIndex])
return true;
TensorSpanHelpers.AdjustIndexes(broadcastedRight.Rank - 1, 1, curIndex, broadcastedRight.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="x"/> are greater than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are greater than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Value to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are greater than <paramref name="y"/>.</returns>
public static bool GreaterThanOrEqualAny<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
if (x[curIndex] >= y)
return true;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="y"/> are greater than <paramref name="x"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="y"/> are greater than <paramref name="x"/>.
/// </summary>
/// <param name="y">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="x">Value to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="y"/> are greater than <paramref name="x"/>.</returns>
public static bool GreaterThanOrEqualAny<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (y.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(y.Rank);
curIndex = curIndexArray.AsSpan(0, y.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[y.Rank];
}
curIndex.Clear();
for (int i = 0; i < y.FlattenedLength; i++)
{
if (x >= y[curIndex])
return true;
TensorSpanHelpers.AdjustIndexes(y.Rank - 1, 1, curIndex, y.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
#endregion
#region GreaterThanAll
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="x"/> are greater than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are greater than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are greater than <paramref name="y"/>.</returns>
public static bool GreaterThanAll<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
ReadOnlyTensorSpan<T> broadcastedLeft = LazyBroadcast(x, newSize);
ReadOnlyTensorSpan<T> broadcastedRight = LazyBroadcast(y, newSize);
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (broadcastedLeft.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(broadcastedRight.Rank);
curIndex = curIndexArray.AsSpan(0, broadcastedRight.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[broadcastedRight.Rank];
}
curIndex.Clear();
for (int i = 0; i < broadcastedLeft.FlattenedLength; i++)
{
if (broadcastedLeft[curIndex] <= broadcastedRight[curIndex])
return false;
TensorSpanHelpers.AdjustIndexes(broadcastedRight.Rank - 1, 1, curIndex, broadcastedRight.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="x"/> are greater than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are greater than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are greater than <paramref name="y"/>.</returns>
public static bool GreaterThanAll<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
if (x[curIndex] <= y)
return false;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="y"/> are greater than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="y"/> are greater than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="y"/> are greater than <paramref name="y"/>.</returns>
public static bool GreaterThanAll<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (y.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(y.Rank);
curIndex = curIndexArray.AsSpan(0, y.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[y.Rank];
}
curIndex.Clear();
for (int i = 0; i < y.FlattenedLength; i++)
{
if (x <= y[curIndex])
return false;
TensorSpanHelpers.AdjustIndexes(y.Rank - 1, 1, curIndex, y.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
#endregion
#region GreaterThanOrEqualAll
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="x"/> are greater than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are greater than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are greater than <paramref name="y"/>.</returns>
public static bool GreaterThanOrEqualAll<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
ReadOnlyTensorSpan<T> broadcastedLeft = LazyBroadcast(x, newSize);
ReadOnlyTensorSpan<T> broadcastedRight = LazyBroadcast(y, newSize);
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (broadcastedLeft.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(broadcastedRight.Rank);
curIndex = curIndexArray.AsSpan(0, broadcastedRight.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[broadcastedRight.Rank];
}
curIndex.Clear();
for (int i = 0; i < broadcastedLeft.FlattenedLength; i++)
{
if (broadcastedLeft[curIndex] < broadcastedRight[curIndex])
return false;
TensorSpanHelpers.AdjustIndexes(broadcastedRight.Rank - 1, 1, curIndex, broadcastedRight.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="x"/> are greater than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are greater than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are greater than <paramref name="y"/>.</returns>
public static bool GreaterThanOrEqualAll<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
if (x[curIndex] < y)
return false;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="y"/> are greater than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="y"/> are greater than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="y"/> are greater than <paramref name="y"/>.</returns>
public static bool GreaterThanOrEqualAll<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (y.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(y.Rank);
curIndex = curIndexArray.AsSpan(0, y.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[y.Rank];
}
curIndex.Clear();
for (int i = 0; i < y.FlattenedLength; i++)
{
if (x < y[curIndex])
return false;
TensorSpanHelpers.AdjustIndexes(y.Rank - 1, 1, curIndex, y.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
#endregion
#region LessThan
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see which elements of <paramref name="x"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <returns>A <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/> and
/// false if they are not.</returns>
public static Tensor<bool> LessThan<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
Tensor<bool> result;
if (TensorHelpers.AreLengthsTheSame(x, y))
{
result = Tensor.Create<bool>(x.Lengths, false);
}
else
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
result = Tensor.Create<bool>(newSize, false);
}
LessThan(x, y, result);
return result;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see which elements of <paramref name="x"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="destination"></param>
/// <returns>A <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/> and
/// false if they are not.</returns>
public static ref readonly TensorSpan<bool> LessThan<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<bool> destination)
where T : IComparisonOperators<T, T, bool>
{
scoped ReadOnlyTensorSpan<T> left;
scoped ReadOnlyTensorSpan<T> right;
if (TensorHelpers.AreLengthsTheSame(x, y))
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, x.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
left = x;
right = y;
}
else
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, newSize))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
left = LazyBroadcast(x, newSize);
right = LazyBroadcast(y, newSize);
}
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (right.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(right.Rank);
curIndex = curIndexArray.AsSpan(0, right.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[right.Rank];
}
curIndex.Clear();
for (int i = 0; i < left.FlattenedLength; i++)
{
destination[curIndex] = left[curIndex] < right[curIndex];
TensorSpanHelpers.AdjustIndexes(right.Rank - 1, 1, curIndex, right.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
/// <summary>
/// Compares the elements of a <see cref="Tensor{T}"/> to see which elements are less than <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="Tensor{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not.</returns>
public static Tensor<bool> LessThan<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IComparisonOperators<T, T, bool>
{
Tensor<bool> result = Tensor.Create<bool>(x.Lengths, false);
LessThan(x, y, result);
return result;
}
/// <summary>
/// Compares the elements of a <see cref="Tensor{T}"/> to see which elements are less than <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="Tensor{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <param name="destination"></param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not.</returns>
public static ref readonly TensorSpan<bool> LessThan<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<bool> destination)
where T : IComparisonOperators<T, T, bool>
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, x.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
destination[curIndex] = x[curIndex] < y;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
/// <summary>
/// Compares the elements of a <see cref="Tensor{T}"/> to see which elements are less than <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="Tensor{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not.</returns>
public static Tensor<bool> LessThan<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
Tensor<bool> result = Tensor.Create<bool>(y.Lengths, false);
LessThan(x, y, result);
return result;
}
/// <summary>
/// Compares the elements of a <see cref="Tensor{T}"/> to see which elements are less than <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="Tensor{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <param name="destination"></param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not.</returns>
public static ref readonly TensorSpan<bool> LessThan<T>(T x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<bool> destination)
where T : IComparisonOperators<T, T, bool>
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, y.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (y.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(y.Rank);
curIndex = curIndexArray.AsSpan(0, y.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[y.Rank];
}
curIndex.Clear();
for (int i = 0; i < y.FlattenedLength; i++)
{
destination[curIndex] = x < y[curIndex];
TensorSpanHelpers.AdjustIndexes(y.Rank - 1, 1, curIndex, y.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
#endregion
#region LessThanOrEqual
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see which elements of <paramref name="x"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <returns>A <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/> and
/// false if they are not.</returns>
public static Tensor<bool> LessThanOrEqual<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
Tensor<bool> result;
if (TensorHelpers.AreLengthsTheSame(x, y))
{
result = Tensor.Create<bool>(x.Lengths, false);
}
else
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
result = Tensor.Create<bool>(newSize, false);
}
LessThanOrEqual(x, y, result);
return result;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see which elements of <paramref name="x"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="destination"></param>
/// <returns>A <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/> and
/// false if they are not.</returns>
public static ref readonly TensorSpan<bool> LessThanOrEqual<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<bool> destination)
where T : IComparisonOperators<T, T, bool>
{
scoped ReadOnlyTensorSpan<T> left;
scoped ReadOnlyTensorSpan<T> right;
if (TensorHelpers.AreLengthsTheSame(x, y))
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, x.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
left = x;
right = y;
}
else
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, newSize))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
left = LazyBroadcast(x, newSize);
right = LazyBroadcast(y, newSize);
}
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (right.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(right.Rank);
curIndex = curIndexArray.AsSpan(0, right.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[right.Rank];
}
curIndex.Clear();
for (int i = 0; i < left.FlattenedLength; i++)
{
destination[curIndex] = left[curIndex] <= right[curIndex];
TensorSpanHelpers.AdjustIndexes(right.Rank - 1, 1, curIndex, right.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
/// <summary>
/// Compares the elements of a <see cref="Tensor{T}"/> to see which elements are less than <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="Tensor{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not.</returns>
public static Tensor<bool> LessThanOrEqual<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IComparisonOperators<T, T, bool>
{
Tensor<bool> result = Tensor.Create<bool>(x.Lengths, false);
LessThanOrEqual(x, y, result);
return result;
}
/// <summary>
/// Compares the elements of a <see cref="Tensor{T}"/> to see which elements are less than <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="Tensor{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <param name="destination"></param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not.</returns>
public static ref readonly TensorSpan<bool> LessThanOrEqual<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<bool> destination)
where T : IComparisonOperators<T, T, bool>
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, x.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
destination[curIndex] = x[curIndex] <= y;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
/// <summary>
/// Compares the elements of a <see cref="Tensor{T}"/> to see which elements are less than <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="Tensor{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not.</returns>
public static Tensor<bool> LessThanOrEqual<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
Tensor<bool> result = Tensor.Create<bool>(y.Lengths, false);
LessThanOrEqual(x, y, result);
return result;
}
/// <summary>
/// Compares the elements of a <see cref="Tensor{T}"/> to see which elements are less than <paramref name="y"/>.
/// It returns a <see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not."/>
/// </summary>
/// <param name="x"><see cref="Tensor{T}"/> to compare.</param>
/// <param name="y"><typeparamref name="T"/> to compare against <paramref name="x"/>.</param>
/// <param name="destination"></param>
/// <returns><see cref="Tensor{Boolean}"/> where the value is true if the elements in <paramref name="x"/> are less than <paramref name="y"/>
/// and false if they are not.</returns>
public static ref readonly TensorSpan<bool> LessThanOrEqual<T>(T x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<bool> destination)
where T : IComparisonOperators<T, T, bool>
{
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, y.Lengths))
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(destination));
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (y.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(y.Rank);
curIndex = curIndexArray.AsSpan(0, y.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[y.Rank];
}
curIndex.Clear();
for (int i = 0; i < y.FlattenedLength; i++)
{
destination[curIndex] = x <= y[curIndex];
TensorSpanHelpers.AdjustIndexes(y.Rank - 1, 1, curIndex, y.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return ref destination;
}
#endregion
#region LessThanAny
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="x"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are less than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are less than <paramref name="y"/>.</returns>
public static bool LessThanAny<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
ReadOnlyTensorSpan<T> broadcastedLeft = LazyBroadcast(x, newSize);
ReadOnlyTensorSpan<T> broadcastedRight = LazyBroadcast(y, newSize);
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (broadcastedRight.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(broadcastedRight.Lengths.Length);
curIndex = curIndexArray.AsSpan(0, broadcastedRight.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[broadcastedRight.Lengths.Length];
}
curIndex.Clear();
for (int i = 0; i < broadcastedLeft.FlattenedLength; i++)
{
if (broadcastedLeft[curIndex] < broadcastedRight[curIndex])
return true;
TensorSpanHelpers.AdjustIndexes(broadcastedRight.Rank - 1, 1, curIndex, broadcastedRight.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="x"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are less than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second value to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are less than <paramref name="y"/>.</returns>
public static bool LessThanAny<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
if (x[curIndex] < y)
return true;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="y"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="y"/> are less than <paramref name="y"/>.
/// </summary>
/// <param name="x">First value to compare.</param>
/// <param name="y">Second value to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="y"/> are less than <paramref name="y"/>.</returns>
public static bool LessThanAny<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (y.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(y.Rank);
curIndex = curIndexArray.AsSpan(0, y.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[y.Rank];
}
curIndex.Clear();
for (int i = 0; i < y.FlattenedLength; i++)
{
if (x < y[curIndex])
return true;
TensorSpanHelpers.AdjustIndexes(y.Rank - 1, 1, curIndex, y.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
#endregion
#region LessThanOrEqualAny
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="x"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are less than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are less than <paramref name="y"/>.</returns>
public static bool LessThanOrEqualAny<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
ReadOnlyTensorSpan<T> broadcastedLeft = LazyBroadcast(x, newSize);
ReadOnlyTensorSpan<T> broadcastedRight = LazyBroadcast(y, newSize);
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (broadcastedRight.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(broadcastedRight.Lengths.Length);
curIndex = curIndexArray.AsSpan(0, broadcastedRight.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[broadcastedRight.Lengths.Length];
}
curIndex.Clear();
for (int i = 0; i < broadcastedLeft.FlattenedLength; i++)
{
if (broadcastedLeft[curIndex] <= broadcastedRight[curIndex])
return true;
TensorSpanHelpers.AdjustIndexes(broadcastedRight.Rank - 1, 1, curIndex, broadcastedRight.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="x"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are less than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second value to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="x"/> are less than <paramref name="y"/>.</returns>
public static bool LessThanOrEqualAny<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
if (x[curIndex] <= y)
return true;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if any elements of <paramref name="y"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if any elements in <paramref name="y"/> are less than <paramref name="y"/>.
/// </summary>
/// <param name="x">First value to compare.</param>
/// <param name="y">Second value to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if any elements in <paramref name="y"/> are less than <paramref name="y"/>.</returns>
public static bool LessThanOrEqualAny<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (y.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(y.Rank);
curIndex = curIndexArray.AsSpan(0, y.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[y.Rank];
}
curIndex.Clear();
for (int i = 0; i <= y.FlattenedLength; i++)
{
if (x <= y[curIndex])
return true;
TensorSpanHelpers.AdjustIndexes(y.Rank - 1, 1, curIndex, y.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return false;
}
#endregion
#region LessThanAll
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="x"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are less than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are less than <paramref name="y"/>.</returns>
public static bool LessThanAll<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
ReadOnlyTensorSpan<T> broadcastedLeft = LazyBroadcast(x, newSize);
ReadOnlyTensorSpan<T> broadcastedRight = LazyBroadcast(y, newSize);
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (broadcastedRight.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(broadcastedRight.Lengths.Length);
curIndex = curIndexArray.AsSpan(0, broadcastedRight.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[broadcastedRight.Lengths.Length];
}
curIndex.Clear();
for (int i = 0; i < broadcastedLeft.FlattenedLength; i++)
{
if (broadcastedLeft[curIndex] >= broadcastedRight[curIndex])
return false;
TensorSpanHelpers.AdjustIndexes(broadcastedRight.Rank - 1, 1, curIndex, broadcastedRight.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="x"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are less than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second value to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are less than <paramref name="y"/>.</returns>
public static bool LessThanAll<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
if (x[curIndex] >= y)
return false;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="y"/> are less than <paramref name="x"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="y"/> are less than <paramref name="x"/>.
/// </summary>
/// <param name="y">First value to compare.</param>
/// <param name="x">Second value to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="y"/> are less than <paramref name="x"/>.</returns>
public static bool LessThanAll<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (y.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(y.Rank);
curIndex = curIndexArray.AsSpan(0, y.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[y.Rank];
}
curIndex.Clear();
for (int i = 0; i < y.FlattenedLength; i++)
{
if (x >= y[curIndex])
return false;
TensorSpanHelpers.AdjustIndexes(y.Rank - 1, 1, curIndex, y.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
#endregion
#region LessThanOrEqualAll
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="x"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are less than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second <see cref="ReadOnlyTensorSpan{T}"/> to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are less than <paramref name="y"/>.</returns>
public static bool LessThanOrEqualAll<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(x.Lengths, y.Lengths);
ReadOnlyTensorSpan<T> broadcastedLeft = LazyBroadcast(x, newSize);
ReadOnlyTensorSpan<T> broadcastedRight = LazyBroadcast(y, newSize);
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (broadcastedRight.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(broadcastedRight.Lengths.Length);
curIndex = curIndexArray.AsSpan(0, broadcastedRight.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[broadcastedRight.Lengths.Length];
}
curIndex.Clear();
for (int i = 0; i < broadcastedLeft.FlattenedLength; i++)
{
if (broadcastedLeft[curIndex] > broadcastedRight[curIndex])
return false;
TensorSpanHelpers.AdjustIndexes(broadcastedRight.Rank - 1, 1, curIndex, broadcastedRight.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="x"/> are less than <paramref name="y"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are less than <paramref name="y"/>.
/// </summary>
/// <param name="x">First <see cref="ReadOnlyTensorSpan{T}"/> to compare.</param>
/// <param name="y">Second value to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="x"/> are less than <paramref name="y"/>.</returns>
public static bool LessThanOrEqualAll<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (x.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(x.Rank);
curIndex = curIndexArray.AsSpan(0, x.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[x.Rank];
}
curIndex.Clear();
for (int i = 0; i < x.FlattenedLength; i++)
{
if (x[curIndex] > y)
return false;
TensorSpanHelpers.AdjustIndexes(x.Rank - 1, 1, curIndex, x.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
/// <summary>
/// Compares the elements of two <see cref="ReadOnlyTensorSpan{T}"/> to see if all elements of <paramref name="y"/> are less than <paramref name="x"/>.
/// If the shapes are not the same, the tensors are broadcasted to the smallest broadcastable size before they are compared.
/// It returns a <see cref="bool"/> where the value is true if all elements in <paramref name="y"/> are less than <paramref name="x"/>.
/// </summary>
/// <param name="y">First value to compare.</param>
/// <param name="x">Second value to compare against.</param>
/// <returns><see cref="bool"/> where the value is true if all elements in <paramref name="y"/> are less than <paramref name="x"/>.</returns>
public static bool LessThanOrEqualAll<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IComparisonOperators<T, T, bool>
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (y.Rank > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(y.Rank);
curIndex = curIndexArray.AsSpan(0, y.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[y.Rank];
}
curIndex.Clear();
for (int i = 0; i < y.FlattenedLength; i++)
{
if (x > y[curIndex])
return false;
TensorSpanHelpers.AdjustIndexes(y.Rank - 1, 1, curIndex, y.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
return true;
}
#endregion
#region Permute
/// <summary>
/// Swaps the dimensions of the <paramref name="tensor"/> tensor according to the <paramref name="dimensions"/> parameter.
/// If <paramref name="tensor"/> is a 1D tensor, it will return <paramref name="tensor"/>. Otherwise it creates a new <see cref="Tensor{T}"/>
/// with the new axis ordering by allocating new memory.
/// </summary>
/// <param name="tensor">Input <see cref="Tensor{T}"/></param>
/// <param name="dimensions"><see cref="ReadOnlySpan{T}"/> with the new axis ordering.</param>
public static Tensor<T> PermuteDimensions<T>(this Tensor<T> tensor, params ReadOnlySpan<int> dimensions)
{
if (tensor.Rank == 1)
{
return tensor;
}
else
{
T[] values = tensor.IsPinned ? GC.AllocateArray<T>((int)tensor._flattenedLength) : (new T[tensor._flattenedLength]);
nint[] lengths = new nint[tensor.Rank];
Tensor<T> outTensor;
TensorSpan<T> ospan;
TensorSpan<T> ispan;
ReadOnlySpan<int> permutation;
if (dimensions.IsEmpty)
{
int[] tempPermutation = new int[tensor.Rank];
for (int i = 0; i < tensor.Rank; i++)
{
lengths[i] = tensor._lengths[tensor.Rank - 1 - i];
tempPermutation[i] = tensor.Rank - 1 - i;
}
permutation = tempPermutation;
}
else
{
if (dimensions.Length != tensor.Lengths.Length)
ThrowHelper.ThrowArgument_PermuteAxisOrder();
for (int i = 0; i < lengths.Length; i++)
lengths[i] = tensor.Lengths[dimensions[i]];
permutation = dimensions.ToArray();
}
outTensor = new Tensor<T>(values, lengths, Array.Empty<nint>(), tensor._isPinned);
ospan = outTensor.AsTensorSpan();
ispan = tensor.AsTensorSpan();
scoped Span<nint> indexes;
nint[]? indicesArray;
scoped Span<nint> permutedIndices;
nint[]? permutedIndicesArray;
if (outTensor.Rank > 6)
{
indicesArray = ArrayPool<nint>.Shared.Rent(outTensor.Rank);
indexes = indicesArray.AsSpan(0, outTensor.Rank);
indexes.Clear();
permutedIndicesArray = ArrayPool<nint>.Shared.Rent(outTensor.Rank);
permutedIndices = permutedIndicesArray.AsSpan(0, outTensor.Rank);
permutedIndices.Clear();
}
else
{
indicesArray = null;
indexes = stackalloc nint[outTensor.Rank];
permutedIndicesArray = null;
permutedIndices = stackalloc nint[outTensor.Rank];
}
for (int i = 0; i < tensor._flattenedLength; i++)
{
TensorHelpers.PermuteIndices(indexes, permutedIndices, permutation);
ospan[permutedIndices] = ispan[indexes];
TensorSpanHelpers.AdjustIndexes(outTensor.Rank - 1, 1, indexes, tensor._lengths);
}
if (indicesArray != null && permutedIndicesArray != null)
{
ArrayPool<nint>.Shared.Return(indicesArray);
ArrayPool<nint>.Shared.Return(permutedIndicesArray);
}
return outTensor;
}
}
#endregion
#region Reshape
/// <summary>
/// Reshapes the <paramref name="tensor"/> tensor to the specified <paramref name="lengths"/>. If one of the lengths is -1, it will be calculated automatically.
/// Does not change the length of the underlying memory nor does it allocate new memory. If the new shape is not compatible with the old shape,
/// an exception is thrown.
/// </summary>
/// <param name="tensor"><see cref="Tensor{T}"/> you want to reshape.</param>
/// <param name="lengths"><see cref="ReadOnlySpan{T}"/> with the new dimensions.</param>
public static Tensor<T> Reshape<T>(this Tensor<T> tensor, params ReadOnlySpan<nint> lengths)
{
if (tensor.Lengths.SequenceEqual(lengths))
return tensor;
if (!TensorHelpers.IsContiguousAndDense<T>(tensor) && !tensor.Strides.Contains(0))
{
ThrowHelper.ThrowArgument_CannotReshapeNonContiguousOrDense();
}
nint[] arrLengths = lengths.ToArray();
// Calculate wildcard info.
if (lengths.Contains(-1))
{
if (lengths.Count(-1) > 1)
ThrowHelper.ThrowArgument_OnlyOneWildcard();
nint tempTotal = tensor._flattenedLength;
for (int i = 0; i < lengths.Length; i++)
{
if (lengths[i] != -1)
{
tempTotal /= lengths[i];
}
}
arrLengths[lengths.IndexOf(-1)] = tempTotal;
}
nint tempLinear = TensorSpanHelpers.CalculateTotalLength(arrLengths);
if (tempLinear != tensor.FlattenedLength)
ThrowHelper.ThrowArgument_InvalidReshapeDimensions();
nint[] strides;
// If we contain a 0 stride we can only add dimensions of length 1.
if (tensor.Strides.Contains(0))
{
List<nint> origStrides = new List<nint>(tensor.Strides.ToArray());
int lengthOffset = 0;
for (int i = 0; i < arrLengths.Length; i++)
{
if (lengthOffset < tensor.Rank && arrLengths[i] == tensor.Lengths[lengthOffset])
lengthOffset++;
else if (arrLengths[i] == 1)
{
if (lengthOffset == tensor.Rank)
origStrides.Add(tensor.Strides[lengthOffset - 1]);
else
origStrides.Insert(i, tensor.Strides[i] * tensor.Lengths[i]);
}
else
ThrowHelper.ThrowArgument_InvalidReshapeDimensions();
}
strides = origStrides.ToArray();
}
else
strides = TensorSpanHelpers.CalculateStrides(arrLengths);
return new Tensor<T>(tensor._values, arrLengths, strides);
}
/// <summary>
/// Reshapes the <paramref name="tensor"/> tensor to the specified <paramref name="lengths"/>. If one of the lengths is -1, it will be calculated automatically.
/// Does not change the length of the underlying memory nor does it allocate new memory. If the new shape is not compatible with the old shape,
/// an exception is thrown.
/// </summary>
/// <param name="tensor"><see cref="TensorSpan{T}"/> you want to reshape.</param>
/// <param name="lengths"><see cref="ReadOnlySpan{T}"/> with the new dimensions.</param>
public static TensorSpan<T> Reshape<T>(in this TensorSpan<T> tensor, params scoped ReadOnlySpan<nint> lengths)
{
if (tensor.Lengths.SequenceEqual(lengths))
return tensor;
if (!TensorHelpers.IsContiguousAndDense<T>(tensor) && !tensor.Strides.Contains(0))
{
ThrowHelper.ThrowArgument_CannotReshapeNonContiguousOrDense();
}
nint[] arrLengths = lengths.ToArray();
// Calculate wildcard info.
if (lengths.Contains(-1))
{
if (lengths.Count(-1) > 1)
ThrowHelper.ThrowArgument_OnlyOneWildcard();
nint tempTotal = tensor.FlattenedLength;
for (int i = 0; i < lengths.Length; i++)
{
if (lengths[i] != -1)
{
tempTotal /= lengths[i];
}
}
arrLengths[lengths.IndexOf(-1)] = tempTotal;
}
nint tempLinear = TensorSpanHelpers.CalculateTotalLength(arrLengths);
if (tempLinear != tensor.FlattenedLength)
ThrowHelper.ThrowArgument_InvalidReshapeDimensions();
nint[] strides;
// If we contain a 0 stride we can only add dimensions of length 1.
if (tensor.Strides.Contains(0))
{
List<nint> origStrides = new List<nint>(tensor.Strides.ToArray());
int lengthOffset = 0;
for (int i = 0; i < arrLengths.Length; i++)
{
if (lengthOffset < tensor.Rank && arrLengths[i] == tensor.Lengths[lengthOffset])
{
lengthOffset++;
}
else if (arrLengths[i] == 1)
{
if (lengthOffset == tensor.Rank)
origStrides.Add(tensor.Strides[lengthOffset - 1]);
else
origStrides.Insert(i, tensor.Strides[i] * tensor.Lengths[i]);
}
else
ThrowHelper.ThrowArgument_InvalidReshapeDimensions();
}
strides = origStrides.ToArray();
}
else
strides = TensorSpanHelpers.CalculateStrides(arrLengths);
TensorSpan<T> output = new TensorSpan<T>(ref tensor._reference, arrLengths, strides, tensor._shape._memoryLength);
return output;
}
/// <summary>
/// Reshapes the <paramref name="tensor"/> tensor to the specified <paramref name="lengths"/>. If one of the lengths is -1, it will be calculated automatically.
/// Does not change the length of the underlying memory nor does it allocate new memory. If the new shape is not compatible with the old shape,
/// an exception is thrown.
/// </summary>
/// <param name="tensor"><see cref="TensorSpan{T}"/> you want to reshape.</param>
/// <param name="lengths"><see cref="ReadOnlySpan{T}"/> with the new dimensions.</param>
public static ReadOnlyTensorSpan<T> Reshape<T>(in this ReadOnlyTensorSpan<T> tensor, params scoped ReadOnlySpan<nint> lengths)
{
if (tensor.Lengths.SequenceEqual(lengths))
return tensor;
if (!TensorHelpers.IsContiguousAndDense<T>(tensor) && !tensor.Strides.Contains(0))
{
ThrowHelper.ThrowArgument_CannotReshapeNonContiguousOrDense();
}
nint[] arrLengths = lengths.ToArray();
// Calculate wildcard info.
if (lengths.Contains(-1))
{
if (lengths.Count(-1) > 1)
ThrowHelper.ThrowArgument_OnlyOneWildcard();
nint tempTotal = tensor.FlattenedLength;
for (int i = 0; i < lengths.Length; i++)
{
if (lengths[i] != -1)
{
tempTotal /= lengths[i];
}
}
arrLengths[lengths.IndexOf(-1)] = tempTotal;
}
nint tempLinear = TensorSpanHelpers.CalculateTotalLength(arrLengths);
if (tempLinear != tensor.FlattenedLength)
ThrowHelper.ThrowArgument_InvalidReshapeDimensions();
nint[] strides;
// If we contain a 0 stride we can only add dimensions of length 1.
if (tensor.Strides.Contains(0))
{
List<nint> origStrides = new List<nint>(tensor.Strides.ToArray());
int lengthOffset = 0;
for (int i = 0; i < arrLengths.Length; i++)
{
if (lengthOffset < tensor.Rank && arrLengths[i] == tensor.Lengths[lengthOffset])
lengthOffset++;
else if (arrLengths[i] == 1)
{
if (lengthOffset == tensor.Rank)
origStrides.Add(tensor.Strides[lengthOffset - 1]);
else
origStrides.Insert(i, tensor.Strides[i] * tensor.Lengths[i]);
}
else
ThrowHelper.ThrowArgument_InvalidReshapeDimensions();
}
strides = origStrides.ToArray();
}
else
strides = TensorSpanHelpers.CalculateStrides(arrLengths);
ReadOnlyTensorSpan<T> output = new ReadOnlyTensorSpan<T>(ref tensor._reference, arrLengths, strides, tensor._shape._memoryLength);
return output;
}
#endregion
#region Resize
/// <summary>
/// Creates a new <see cref="Tensor{T}"/>, allocates new memory, and copies the data from <paramref name="tensor"/>. If the final shape is smaller all data after
/// that point is ignored.
/// </summary>
/// <param name="tensor">Input <see cref="Tensor{T}"/>.</param>
/// <param name="lengths"><see cref="ReadOnlySpan{T}"/> of the desired new shape.</param>
public static Tensor<T> Resize<T>(Tensor<T> tensor, ReadOnlySpan<nint> lengths)
{
nint newSize = TensorSpanHelpers.CalculateTotalLength(lengths);
T[] values = tensor.IsPinned ? GC.AllocateArray<T>((int)newSize) : (new T[newSize]);
Tensor<T> output = new Tensor<T>(values, lengths, false);
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref tensor.AsTensorSpan()._reference, (int)tensor._values.Length);
Span<T> ospan = MemoryMarshal.CreateSpan(ref output.AsTensorSpan()._reference, (int)output.FlattenedLength);
if (newSize > tensor._values.Length)
TensorSpanHelpers.Memmove(ospan, span, tensor._values.Length);
else
TensorSpanHelpers.Memmove(ospan, span, newSize);
return output;
}
/// <summary>
/// Copies the data from <paramref name="tensor"/>. If the final shape is smaller all data after that point is ignored.
/// If the final shape is bigger it is filled with 0s.
/// </summary>
/// <param name="tensor">Input <see cref="Tensor{T}"/>.</param>
/// <param name="destination">Destination <see cref="TensorSpan{T}"/> with the desired new shape.</param>
public static void ResizeTo<T>(scoped in Tensor<T> tensor, in TensorSpan<T> destination)
{
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref tensor._values[0], tensor._values.Length);
Span<T> ospan = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination._shape._memoryLength);
if (destination._shape._memoryLength > tensor._values.Length)
TensorSpanHelpers.Memmove(ospan, span, tensor._values.Length);
else
TensorSpanHelpers.Memmove(ospan, span, destination._shape._memoryLength);
}
/// <summary>
/// Copies the data from <paramref name="tensor"/>. If the final shape is smaller all data after that point is ignored.
/// If the final shape is bigger it is filled with 0s.
/// </summary>
/// <param name="tensor">Input <see cref="TensorSpan{T}"/>.</param>
/// <param name="destination">Destination <see cref="TensorSpan{T}"/> with the desired new shape.</param>
public static void ResizeTo<T>(scoped in TensorSpan<T> tensor, in TensorSpan<T> destination)
{
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref tensor._reference, (int)tensor._shape._memoryLength);
Span<T> ospan = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination._shape._memoryLength);
if (destination._shape._memoryLength > tensor._shape._memoryLength)
TensorSpanHelpers.Memmove(ospan, span, tensor._shape._memoryLength);
else
TensorSpanHelpers.Memmove(ospan, span, destination._shape._memoryLength);
}
/// <summary>
/// Copies the data from <paramref name="tensor"/>. If the final shape is smaller all data after that point is ignored.
/// If the final shape is bigger it is filled with 0s.
/// </summary>
/// <param name="tensor">Input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination">Destination <see cref="TensorSpan{T}"/> with the desired new shape.</param>
public static void ResizeTo<T>(scoped in ReadOnlyTensorSpan<T> tensor, in TensorSpan<T> destination)
{
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref tensor._reference, (int)tensor._shape._memoryLength);
Span<T> ospan = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination._shape._memoryLength);
if (destination._shape._memoryLength > tensor._shape._memoryLength)
TensorSpanHelpers.Memmove(ospan, span, tensor._shape._memoryLength);
else
TensorSpanHelpers.Memmove(ospan, span, destination._shape._memoryLength);
}
#endregion
#region Reverse
/// <summary>
/// Reverse the order of elements in the <paramref name="tensor"/>. The shape of the tensor is preserved, but the elements are reordered.
/// </summary>
/// <param name="tensor">Input <see cref="Tensor{T}"/>.</param>
public static Tensor<T> Reverse<T>(in ReadOnlyTensorSpan<T> tensor)
{
Tensor<T> output = Tensor.Create<T>(tensor.Lengths);
ReverseDimension(tensor, output, -1);
return output;
}
/// <summary>
/// Reverse the order of elements in the <paramref name="tensor"/> along the given dimension. The shape of the tensor is preserved, but the elements are reordered.
/// <paramref name="dimension"/> defaults to -1 when not provided, which reverses the entire tensor.
/// </summary>
/// <param name="tensor">Input <see cref="Tensor{T}"/>.</param>
/// <param name="dimension">dimension along which to reverse over. -1 will reverse over all of the dimensions of the left tensor.</param>
public static Tensor<T> ReverseDimension<T>(in ReadOnlyTensorSpan<T> tensor, int dimension)
{
Tensor<T> output = Tensor.Create<T>(tensor.Lengths);
ReverseDimension(tensor, output, dimension);
return output;
}
/// <summary>
/// Reverse the order of elements in the <paramref name="tensor"/>. The shape of the tensor is preserved, but the elements are reordered.
/// </summary>
/// <param name="tensor">Input <see cref="TensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Reverse<T>(scoped in ReadOnlyTensorSpan<T> tensor, in TensorSpan<T> destination)
{
return ref ReverseDimension(tensor, destination, -1);
}
/// <summary>
/// Reverse the order of elements in the <paramref name="tensor"/> along the given axis. The shape of the tensor is preserved, but the elements are reordered.
/// <paramref name="dimension"/> defaults to -1 when not provided, which reverses the entire span.
/// </summary>
/// <param name="tensor">Input <see cref="TensorSpan{T}"/>.</param>
/// <param name="destination"></param>
/// <param name="dimension">dimension along which to reverse over. -1 will reverse over all of the dimensions of the left tensor.</param>
public static ref readonly TensorSpan<T> ReverseDimension<T>(scoped in ReadOnlyTensorSpan<T> tensor, in TensorSpan<T> destination, int dimension)
{
if (dimension == -1)
{
nint index = tensor._shape._memoryLength - 1;
Span<T> inputSpan = MemoryMarshal.CreateSpan(ref tensor._reference, (int)tensor._shape._memoryLength);
Span<T> outputSpan = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination._shape._memoryLength);
for (int i = 0; i <= tensor._shape._memoryLength / 2; i++)
{
outputSpan[i] = inputSpan[(int)index];
outputSpan[(int)index--] = inputSpan[i];
}
}
else
{
nint copyLength = 1;
for (nint i = dimension; i < tensor.Lengths.Length; i++)
{
copyLength *= tensor.Lengths[(int)i];
}
copyLength /= tensor.Lengths[(int)dimension];
scoped Span<nint> oIndices;
nint[]? oIndicesArray;
scoped Span<nint> iIndices;
nint[]? iIndicesArray;
if (tensor.Rank > 6)
{
oIndicesArray = ArrayPool<nint>.Shared.Rent(tensor.Rank);
oIndices = oIndicesArray.AsSpan(0, tensor.Rank);
oIndices.Clear();
iIndicesArray = ArrayPool<nint>.Shared.Rent(tensor.Rank);
iIndices = iIndicesArray.AsSpan(0, tensor.Rank);
iIndices.Clear();
}
else
{
oIndicesArray = null;
oIndices = stackalloc nint[tensor.Rank];
iIndicesArray = null;
iIndices = stackalloc nint[tensor.Rank];
}
iIndices[(int)dimension] = tensor.Lengths[(int)dimension] - 1;
nint copiedValues = 0;
ReadOnlyTensorSpan<T> islice = tensor.Slice(tensor.Lengths);
while (copiedValues < tensor.FlattenedLength)
{
TensorSpanHelpers.Memmove(ref Unsafe.Add(ref destination._reference, TensorSpanHelpers.ComputeLinearIndex(oIndices, tensor.Strides, tensor.Lengths)), ref Unsafe.Add(ref islice._reference, TensorSpanHelpers.ComputeLinearIndex(iIndices, islice.Strides, islice.Lengths)), copyLength);
TensorSpanHelpers.AdjustIndexes((int)dimension, 1, oIndices, tensor.Lengths);
TensorSpanHelpers.AdjustIndexesDown((int)dimension, 1, iIndices, tensor.Lengths);
copiedValues += copyLength;
}
if (oIndicesArray != null && iIndicesArray != null)
{
ArrayPool<nint>.Shared.Return(oIndicesArray);
ArrayPool<nint>.Shared.Return(iIndicesArray);
}
}
return ref destination;
}
#endregion
#region SequenceEqual
/// <summary>
/// Determines whether two sequences are equal by comparing the elements using IEquatable{T}.Equals(T).
/// </summary>
public static bool SequenceEqual<T>(this scoped in TensorSpan<T> tensor, scoped in ReadOnlyTensorSpan<T> other)
where T : IEquatable<T>?
{
return tensor.FlattenedLength == other.FlattenedLength
&& tensor._shape._memoryLength == other._shape._memoryLength
&& tensor.Lengths.SequenceEqual(other.Lengths)
&& MemoryMarshal.CreateReadOnlySpan(in tensor.GetPinnableReference(), (int)tensor._shape._memoryLength).SequenceEqual(MemoryMarshal.CreateReadOnlySpan(in other.GetPinnableReference(), (int)other._shape._memoryLength));
}
/// <summary>
/// Determines whether two sequences are equal by comparing the elements using IEquatable{T}.Equals(T).
/// </summary>
public static bool SequenceEqual<T>(this scoped in ReadOnlyTensorSpan<T> tensor, scoped in ReadOnlyTensorSpan<T> other)
where T : IEquatable<T>?
{
return tensor.FlattenedLength == other.FlattenedLength
&& tensor._shape._memoryLength == other._shape._memoryLength
&& tensor.Lengths.SequenceEqual(other.Lengths)
&& MemoryMarshal.CreateReadOnlySpan(in tensor.GetPinnableReference(), (int)tensor._shape._memoryLength).SequenceEqual(MemoryMarshal.CreateReadOnlySpan(in other.GetPinnableReference(), (int)other._shape._memoryLength));
}
#endregion
#region SetSlice
/// <summary>
/// Sets a slice of the given <paramref name="tensor"/> with the provided <paramref name="values"/> for the given <paramref name="ranges"/>
/// </summary>
/// <param name="tensor">Input <see cref="Tensor{T}"/>.</param>
/// <param name="values">The values you want to set in the <paramref name="tensor"/>.</param>
/// <param name="ranges">The ranges you want to set.</param>
public static Tensor<T> SetSlice<T>(this Tensor<T> tensor, in ReadOnlyTensorSpan<T> values, params ReadOnlySpan<NRange> ranges)
{
SetSlice((TensorSpan<T>)tensor, values, ranges);
return tensor;
}
/// <summary>
/// Sets a slice of the given <paramref name="tensor"/> with the provided <paramref name="values"/> for the given <paramref name="ranges"/>
/// </summary>
/// <param name="tensor">Input <see cref="Tensor{T}"/>.</param>
/// <param name="values">The values you want to set in the <paramref name="tensor"/>.</param>
/// <param name="ranges">The ranges you want to set.</param>
public static ref readonly TensorSpan<T> SetSlice<T>(this in TensorSpan<T> tensor, scoped in ReadOnlyTensorSpan<T> values, params scoped ReadOnlySpan<NRange> ranges)
{
TensorSpan<T> srcSpan;
if (ranges == ReadOnlySpan<NRange>.Empty)
{
if (!TensorHelpers.IsBroadcastableTo(values.Lengths, tensor.Lengths))
ThrowHelper.ThrowArgument_SetSliceNoRange(nameof(values));
srcSpan = tensor;
}
else
srcSpan = tensor.Slice(ranges);
if (!TensorHelpers.IsContiguousAndDense<T>(srcSpan))
ThrowHelper.ThrowArgument_SetSliceInvalidShapes(nameof(values));
if (!TensorHelpers.IsBroadcastableTo(values.Lengths, srcSpan.Lengths))
ThrowHelper.ThrowArgument_SetSliceInvalidShapes(nameof(values));
values.CopyTo(srcSpan);
return ref tensor;
}
#endregion
#region Split
/// <summary>
/// Split a <see cref="Tensor{T}"/> into <paramref name="splitCount"/> along the given <paramref name="dimension"/>. If the tensor cannot be split
/// evenly on the given <paramref name="dimension"/> an exception is thrown.
/// </summary>
/// <param name="tensor">Input <see cref="Tensor{T}"/>.</param>
/// <param name="splitCount">How many times to split the <paramref name="tensor"/></param>
/// <param name="dimension">The axis to split on.</param>
public static Tensor<T>[] Split<T>(scoped in ReadOnlyTensorSpan<T> tensor, int splitCount, nint dimension)
{
if (tensor.Lengths[(int)dimension] % splitCount != 0)
ThrowHelper.ThrowArgument_SplitNotSplitEvenly();
Tensor<T>[] outputs = new Tensor<T>[splitCount];
nint totalToCopy = tensor.FlattenedLength / splitCount;
nint copyLength = 1;
for (nint i = dimension; i < tensor.Lengths.Length; i++)
{
copyLength *= tensor.Lengths[(int)i];
}
copyLength /= splitCount;
nint[] newShape = tensor.Lengths.ToArray();
newShape[(int)dimension] = newShape[(int)dimension] / splitCount;
scoped Span<nint> oIndices;
nint[]? oIndicesArray;
scoped Span<nint> iIndices;
nint[]? iIndicesArray;
if (tensor.Rank > 6)
{
oIndicesArray = ArrayPool<nint>.Shared.Rent(tensor.Rank);
oIndices = oIndicesArray.AsSpan(0, tensor.Rank);
oIndices.Clear();
iIndicesArray = ArrayPool<nint>.Shared.Rent(tensor.Rank);
iIndices = iIndicesArray.AsSpan(0, tensor.Rank);
iIndices.Clear();
}
else
{
oIndicesArray = null;
oIndices = stackalloc nint[tensor.Rank];
iIndicesArray = null;
iIndices = stackalloc nint[tensor.Rank];
}
for (int i = 0; i < outputs.Length; i++)
{
T[] values = new T[(int)totalToCopy];
outputs[i] = new Tensor<T>(values, newShape);
oIndices.Clear();
iIndices.Clear();
iIndices[(int)dimension] = i;
ReadOnlyTensorSpan<T> islice = tensor.Slice(tensor.Lengths);
TensorSpan<T> oslice = outputs[i].AsTensorSpan().Slice(outputs[i]._lengths);
nint copiedValues = 0;
while (copiedValues < totalToCopy)
{
TensorSpanHelpers.Memmove(ref Unsafe.Add(ref oslice._reference, TensorSpanHelpers.ComputeLinearIndex(oIndices, outputs[0].Strides, outputs[0].Lengths)), ref Unsafe.Add(ref islice._reference, TensorSpanHelpers.ComputeLinearIndex(iIndices, islice.Strides, islice.Lengths)), copyLength);
TensorSpanHelpers.AdjustIndexes((int)dimension, 1, oIndices, outputs[i]._lengths);
TensorSpanHelpers.AdjustIndexes((int)dimension - 1, 1, iIndices, tensor.Lengths);
copiedValues += copyLength;
}
}
if (oIndicesArray != null && iIndicesArray != null)
{
ArrayPool<nint>.Shared.Return(oIndicesArray);
ArrayPool<nint>.Shared.Return(iIndicesArray);
}
return outputs;
}
#endregion
#region Squeeze
/// <summary>
/// Removes all dimensions of length one from the <paramref name="tensor"/>.
/// </summary>
/// <param name="tensor">The <see cref="Tensor{T}"/> to remove all dimensions of length 1.</param>
public static Tensor<T> Squeeze<T>(this Tensor<T> tensor)
{
return SqueezeDimension(tensor, -1);
}
/// <summary>
/// Removes axis of length one from the <paramref name="tensor"/> for the given <paramref name="dimension"/>.
/// If the dimension is not of length one it will throw an exception.
/// </summary>
/// <param name="tensor">The <see cref="Tensor{T}"/> to remove dimension of length 1.</param>
/// <param name="dimension">The dimension to remove.</param>
public static Tensor<T> SqueezeDimension<T>(this Tensor<T> tensor, int dimension)
{
if (dimension >= tensor.Rank)
ThrowHelper.ThrowArgument_AxisLargerThanRank();
nint[] lengths;
nint[] strides;
List<nint> tempLengths = new List<nint>();
if (dimension == -1)
{
for (int i = 0; i < tensor.Lengths.Length; i++)
{
if (tensor.Lengths[i] != 1)
{
tempLengths.Add(tensor.Lengths[i]);
}
}
lengths = tempLengths.ToArray();
strides = TensorSpanHelpers.CalculateStrides(lengths);
}
else
{
if (tensor.Lengths[dimension] != 1)
{
ThrowHelper.ThrowArgument_InvalidSqueezeAxis();
}
for (int i = 0; i < tensor.Lengths.Length; i++)
{
if (i != dimension)
{
tempLengths.Add(tensor.Lengths[i]);
}
}
lengths = tempLengths.ToArray();
strides = TensorSpanHelpers.CalculateStrides(lengths);
}
return new Tensor<T>(tensor._values, lengths, strides);
}
/// <summary>
/// Removes all dimensions of length one from the <paramref name="tensor"/>.
/// </summary>
/// <param name="tensor">The <see cref="TensorSpan{T}"/> to remove all dimensions of length 1.</param>
public static TensorSpan<T> Squeeze<T>(in this TensorSpan<T> tensor)
{
return SqueezeDimension(tensor, -1);
}
/// <summary>
/// Removes axis of length one from the <paramref name="tensor"/> for the given <paramref name="dimension"/>.
/// If the dimension is not of length one it will throw an exception.
/// </summary>
/// <param name="tensor">The <see cref="TensorSpan{T}"/> to remove dimension of length 1.</param>
/// <param name="dimension">The dimension to remove.</param>
public static TensorSpan<T> SqueezeDimension<T>(in this TensorSpan<T> tensor, int dimension)
{
if (dimension >= tensor.Rank)
ThrowHelper.ThrowArgument_AxisLargerThanRank();
nint[] lengths;
nint[] strides;
List<nint> tempLengths = new List<nint>();
if (dimension == -1)
{
for (int i = 0; i < tensor.Lengths.Length; i++)
{
if (tensor.Lengths[i] != 1)
{
tempLengths.Add(tensor.Lengths[i]);
}
}
lengths = tempLengths.ToArray();
strides = TensorSpanHelpers.CalculateStrides(lengths);
}
else
{
if (tensor.Lengths[dimension] != 1)
{
ThrowHelper.ThrowArgument_InvalidSqueezeAxis();
}
for (int i = 0; i < tensor.Lengths.Length; i++)
{
if (i != dimension)
{
tempLengths.Add(tensor.Lengths[i]);
}
}
lengths = tempLengths.ToArray();
strides = TensorSpanHelpers.CalculateStrides(lengths);
}
return new TensorSpan<T>(ref tensor._reference, lengths, strides, tensor._shape._memoryLength);
}
/// <summary>
/// Removes all dimensions of length one from the <paramref name="tensor"/>.
/// </summary>
/// <param name="tensor">The <see cref="ReadOnlyTensorSpan{T}"/> to remove all dimensions of length 1.</param>
public static ReadOnlyTensorSpan<T> Squeeze<T>(in this ReadOnlyTensorSpan<T> tensor)
{
return SqueezeDimension(tensor, -1);
}
/// <summary>
/// Removes axis of length one from the <paramref name="tensor"/> for the given <paramref name="dimension"/>.
/// If the dimension is not of length one it will throw an exception.
/// </summary>
/// <param name="tensor">The <see cref="ReadOnlyTensorSpan{T}"/> to remove dimension of length 1.</param>
/// <param name="dimension">The dimension to remove.</param>
public static ReadOnlyTensorSpan<T> SqueezeDimension<T>(in this ReadOnlyTensorSpan<T> tensor, int dimension)
{
if (dimension >= tensor.Rank)
ThrowHelper.ThrowArgument_AxisLargerThanRank();
nint[] lengths;
nint[] strides;
List<nint> tempLengths = new List<nint>();
if (dimension == -1)
{
for (int i = 0; i < tensor.Lengths.Length; i++)
{
if (tensor.Lengths[i] != 1)
{
tempLengths.Add(tensor.Lengths[i]);
}
}
lengths = tempLengths.ToArray();
strides = TensorSpanHelpers.CalculateStrides(lengths);
}
else
{
if (tensor.Lengths[dimension] != 1)
{
ThrowHelper.ThrowArgument_InvalidSqueezeAxis();
}
for (int i = 0; i < tensor.Lengths.Length; i++)
{
if (i != dimension)
{
tempLengths.Add(tensor.Lengths[i]);
}
}
lengths = tempLengths.ToArray();
strides = TensorSpanHelpers.CalculateStrides(lengths);
}
return new ReadOnlyTensorSpan<T>(ref tensor._reference, lengths, strides, tensor._shape._memoryLength);
}
#endregion
#region Stack
/// <summary>
/// Join multiple <see cref="Tensor{T}"/> along a new dimension that is added at position 0. All tensors must have the same shape.
/// </summary>
/// <param name="tensors">Input <see cref="Tensor{T}"/>.</param>
public static Tensor<T> Stack<T>(params ReadOnlySpan<Tensor<T>> tensors)
{
return StackAlongDimension(0, tensors);
}
/// <summary>
/// Join multiple <see cref="Tensor{T}"/> along a new dimension. The axis parameter specifies the index of the new dimension. All tensors must have the same shape.
/// </summary>
/// <param name="tensors">Input <see cref="Tensor{T}"/>.</param>
/// <param name="dimension">Index of where the new dimension will be.</param>
public static Tensor<T> StackAlongDimension<T>(int dimension, params ReadOnlySpan<Tensor<T>> tensors)
{
if (tensors.Length < 2)
ThrowHelper.ThrowArgument_StackTooFewTensors();
for (int i = 1; i < tensors.Length; i++)
{
if (!TensorHelpers.AreLengthsTheSame<T>(tensors[0], tensors[i]))
ThrowHelper.ThrowArgument_StackShapesNotSame();
}
if (dimension < 0)
dimension = tensors[0].Rank - dimension;
Tensor<T>[] outputs = new Tensor<T>[tensors.Length];
for (int i = 0; i < tensors.Length; i++)
{
outputs[i] = Tensor.Unsqueeze(tensors[0], dimension);
}
return Tensor.ConcatenateOnDimension<T>(dimension, outputs);
}
/// <summary>
/// Join multiple <see cref="Tensor{T}"/> along a new dimension that is added at position 0. All tensors must have the same shape.
/// </summary>
/// <param name="tensors">Input <see cref="Tensor{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Stack<T>(scoped in ReadOnlySpan<Tensor<T>> tensors, in TensorSpan<T> destination)
{
return ref StackAlongDimension(tensors, destination, 0);
}
/// <summary>
/// Join multiple <see cref="Tensor{T}"/> along a new dimension. The axis parameter specifies the index of the new dimension. All tensors must have the same shape.
/// </summary>
/// <param name="tensors">Input <see cref="Tensor{T}"/>.</param>
/// <param name="destination"></param>
/// <param name="dimension">Index of where the new dimension will be.</param>
public static ref readonly TensorSpan<T> StackAlongDimension<T>(scoped ReadOnlySpan<Tensor<T>> tensors, in TensorSpan<T> destination, int dimension)
{
if (tensors.Length < 2)
ThrowHelper.ThrowArgument_StackTooFewTensors();
for (int i = 1; i < tensors.Length; i++)
{
if (!TensorHelpers.AreLengthsTheSame<T>(tensors[0], tensors[i]))
ThrowHelper.ThrowArgument_StackShapesNotSame();
}
if (dimension < 0)
dimension = tensors[0].Rank - dimension;
Tensor<T>[] outputs = new Tensor<T>[tensors.Length];
for (int i = 0; i < tensors.Length; i++)
{
outputs[i] = Tensor.Unsqueeze(tensors[0], dimension);
}
return ref Tensor.ConcatenateOnDimension<T>(dimension, tensors, destination);
}
#endregion
#region StdDev
/// <summary>
/// Returns the standard deviation of the elements in the <paramref name="x"/> tensor.
/// </summary>
/// <param name="x">The <see cref="TensorSpan{T}"/> to take the standard deviation of.</param>
/// <returns><typeparamref name="T"/> representing the standard deviation.</returns>
public static T StdDev<T>(in ReadOnlyTensorSpan<T> x)
where T : IFloatingPoint<T>, IPowerFunctions<T>, IAdditionOperators<T, T, T>, IAdditiveIdentity<T, T>
{
T mean = Average(x);
Span<T> span = MemoryMarshal.CreateSpan(ref x._reference, (int)x._shape._memoryLength);
Span<T> output = new T[x.FlattenedLength];
TensorPrimitives.Subtract(span, mean, output);
TensorPrimitives.Abs(output, output);
TensorPrimitives.Pow((ReadOnlySpan<T>)output, T.CreateChecked(2), output);
T sum = TensorPrimitives.Sum((ReadOnlySpan<T>)output);
return T.CreateChecked(sum / T.CreateChecked(x._shape._memoryLength));
}
#endregion
#region ToString
/// <summary>
/// Creates a <see cref="string"/> representation of the <see cref="TensorSpan{T}"/>."/>
/// </summary>
/// <param name="tensor">The <see cref="TensorSpan{T}"/> you want to represent as a string.</param>
/// <param name="maximumLengths">Maximum Length of each dimension</param>
/// <returns>A <see cref="string"/> representation of the <paramref name="tensor"/></returns>
public static string ToString<T>(this in TensorSpan<T> tensor, params ReadOnlySpan<nint> maximumLengths) => ((ReadOnlyTensorSpan<T>)tensor).ToString(maximumLengths);
/// <summary>
/// Creates a <see cref="string"/> representation of the <see cref="ReadOnlyTensorSpan{T}"/>."/>
/// </summary>
/// <typeparam name="T"></typeparam>
/// <param name="tensor">The <see cref="ReadOnlyTensorSpan{T}"/> you want to represent as a string.</param>
/// <param name="maximumLengths">Maximum Length of each dimension</param>
public static string ToString<T>(this in ReadOnlyTensorSpan<T> tensor, params ReadOnlySpan<nint> maximumLengths)
{
if (maximumLengths.Length != tensor.Rank)
ThrowHelper.ThrowArgument_DimensionsNotSame(nameof(tensor));
var sb = new StringBuilder();
scoped Span<nint> curIndexes;
nint[]? curIndexesArray;
if (tensor.Rank > 6)
{
curIndexesArray = ArrayPool<nint>.Shared.Rent(tensor.Rank);
curIndexes = curIndexesArray.AsSpan(0, tensor.Rank);
curIndexes.Clear();
}
else
{
curIndexesArray = null;
curIndexes = stackalloc nint[tensor.Rank];
}
nint copiedValues = 0;
T[] values = new T[tensor.Lengths[tensor.Rank - 1]];
while (copiedValues < tensor.FlattenedLength)
{
var sp = new ReadOnlyTensorSpan<T>(ref Unsafe.Add(ref tensor._reference, TensorSpanHelpers.ComputeLinearIndex(curIndexes, tensor.Strides, tensor.Lengths)), [tensor.Lengths[tensor.Rank - 1]], [1], tensor.Lengths[tensor.Rank - 1]);
sb.Append('{');
sp.FlattenTo(values);
sb.Append(string.Join(",", values));
sb.AppendLine("}");
TensorSpanHelpers.AdjustIndexes(tensor.Rank - 2, 1, curIndexes, tensor.Lengths);
copiedValues += tensor.Lengths[tensor.Rank - 1];
}
if (curIndexesArray != null)
ArrayPool<nint>.Shared.Return(curIndexesArray);
return sb.ToString();
}
/// <summary>
/// Creates a <see cref="string"/> representation of the <see cref="Tensor{T}"/>."/>
/// </summary>
/// <param name="tensor">The <see cref="Span{T}"/> you want to represent as a string.</param>
/// <param name="maximumLengths">Maximum Length of each dimension</param>
/// <returns>A <see cref="string"/> representation of the <paramref name="tensor"/></returns>
public static string ToString<T>(this Tensor<T> tensor, params ReadOnlySpan<nint> maximumLengths) => ((ReadOnlyTensorSpan<T>)tensor).ToString(maximumLengths);
#endregion
#region Transpose
/// <summary>
/// Swaps the last two dimensions of the <paramref name="tensor"/> tensor.
/// </summary>
/// <param name="tensor">Input <see cref="Tensor{T}"/>.</param>
public static Tensor<T> Transpose<T>(Tensor<T> tensor)
{
if (tensor.Lengths.Length < 2)
ThrowHelper.ThrowArgument_TransposeTooFewDimensions();
int[] dimension = Enumerable.Range(0, tensor.Rank).ToArray();
int temp = dimension[tensor.Rank - 1];
dimension[tensor.Rank - 1] = dimension[tensor.Rank - 2];
dimension[tensor.Rank - 2] = temp;
return PermuteDimensions(tensor, dimension.AsSpan());
}
#endregion
#region TryBroadcastTo
/// <summary>
/// Broadcast the data from <paramref name="tensor"/> to the smallest broadcastable shape compatible with <paramref name="destination"/> and stores it in <paramref name="destination"/>
/// If the shapes are not compatible, false is returned.
/// </summary>
/// <param name="tensor">Input <see cref="Tensor{T}"/>.</param>
/// <param name="destination">Destination <see cref="TensorSpan{T}"/>.</param>
public static bool TryBroadcastTo<T>(this Tensor<T> tensor, in TensorSpan<T> destination)
{
return TryBroadcastTo((ReadOnlyTensorSpan<T>)tensor, destination);
}
/// <summary>
/// Broadcast the data from <paramref name="tensor"/> to the smallest broadcastable shape compatible with <paramref name="destination"/> and stores it in <paramref name="destination"/>
/// If the shapes are not compatible, false is returned.
/// </summary>
/// <param name="tensor">Input <see cref="TensorSpan{T}"/>.</param>
/// <param name="destination">Destination <see cref="TensorSpan{T}"/>.</param>
public static bool TryBroadcastTo<T>(in this TensorSpan<T> tensor, in TensorSpan<T> destination)
{
return TryBroadcastTo((ReadOnlyTensorSpan<T>)tensor, destination);
}
/// <summary>
/// Broadcast the data from <paramref name="tensor"/> to the smallest broadcastable shape compatible with <paramref name="destination"/> and stores it in <paramref name="destination"/>
/// If the shapes are not compatible, false is returned.
/// </summary>
/// <param name="tensor">Input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination">Destination <see cref="TensorSpan{T}"/>.</param>
public static bool TryBroadcastTo<T>(in this ReadOnlyTensorSpan<T> tensor, in TensorSpan<T> destination)
{
if (!TensorHelpers.IsBroadcastableTo(tensor.Lengths, destination.Lengths))
return false;
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(tensor.Lengths, destination.Lengths);
if (!TensorHelpers.AreLengthsTheSame(destination.Lengths, newSize))
return false;
LazyBroadcast(tensor, newSize).CopyTo(destination);
return true;
}
#endregion
#region Unsqueeze
/// <summary>
/// Insert a new dimension of length 1 that will appear at the dimension position.
/// </summary>
/// <param name="tensor">The <see cref="Tensor{T}"/> to add a dimension of length 1.</param>
/// <param name="dimension">The index of the dimension to add.</param>
public static Tensor<T> Unsqueeze<T>(this Tensor<T> tensor, int dimension)
{
if (dimension > tensor.Lengths.Length)
ThrowHelper.ThrowArgument_AxisLargerThanRank();
if (dimension < 0)
dimension = tensor.Rank - dimension;
List<nint> tempLengths = tensor._lengths.ToList();
tempLengths.Insert(dimension, 1);
nint[] lengths = [.. tempLengths];
List<nint> tempStrides = tensor.Strides.ToArray().ToList();
if (dimension == tensor.Rank)
tempStrides.Add(tensor.Strides[dimension - 1]);
else
tempStrides.Insert(dimension, tensor.Strides[dimension] * tensor.Lengths[dimension]);
nint[] strides = [.. tempStrides];
return new Tensor<T>(tensor._values, lengths, strides);
}
/// <summary>
/// Insert a new dimension of length 1 that will appear at the dimension position.
/// </summary>
/// <param name="tensor">The <see cref="TensorSpan{T}"/> to add a dimension of length 1.</param>
/// <param name="dimension">The index of the dimension to add.</param>
public static TensorSpan<T> Unsqueeze<T>(in this TensorSpan<T> tensor, int dimension)
{
if (dimension > tensor.Lengths.Length)
ThrowHelper.ThrowArgument_AxisLargerThanRank();
if (dimension < 0)
dimension = tensor.Rank - dimension;
List<nint> tempLengths = tensor.Lengths.ToArray().ToList();
tempLengths.Insert(dimension, 1);
nint[] lengths = [.. tempLengths];
List<nint> tempStrides = tensor.Strides.ToArray().ToList();
if (dimension == tensor.Rank)
tempStrides.Add(tensor.Strides[dimension - 1]);
else
tempStrides.Insert(dimension, tensor.Strides[dimension] * tensor.Lengths[dimension]);
nint[] strides = [.. tempStrides];
return new TensorSpan<T>(ref tensor._reference, lengths, strides, tensor._shape._memoryLength);
}
/// <summary>
/// Insert a new dimension of length 1 that will appear at the dimension position.
/// </summary>
/// <param name="tensor">The <see cref="ReadOnlyTensorSpan{T}"/> to add a dimension of length 1.</param>
/// <param name="dimension">The index of the dimension to add.</param>
public static ReadOnlyTensorSpan<T> Unsqueeze<T>(in this ReadOnlyTensorSpan<T> tensor, int dimension)
{
if (dimension > tensor.Lengths.Length)
ThrowHelper.ThrowArgument_AxisLargerThanRank();
if (dimension < 0)
dimension = tensor.Rank - dimension;
List<nint> tempLengths = tensor.Lengths.ToArray().ToList();
tempLengths.Insert(dimension, 1);
nint[] lengths = [.. tempLengths];
List<nint> tempStrides = tensor.Strides.ToArray().ToList();
if (dimension == tensor.Rank)
tempStrides.Add(tensor.Strides[dimension - 1]);
else
tempStrides.Insert(dimension, tensor.Strides[dimension] * tensor.Lengths[dimension]);
nint[] strides = [.. tempStrides];
return new ReadOnlyTensorSpan<T>(ref tensor._reference, lengths, strides, tensor._shape._memoryLength);
}
#endregion
#region TensorPrimitives
#region Abs
/// <summary>
/// Takes the absolute value of each element of the <see cref="Tensor{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the abs of.</param>
public static Tensor<T> Abs<T>(in ReadOnlyTensorSpan<T> x)
where T : INumberBase<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Abs(x, output);
return output;
}
/// <summary>
/// Takes the absolute value of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="TensorSpan{T}"/> to take the abs of.</param>
/// <param name="destination">The <see cref="TensorSpan{T}"/> destination.</param>
public static ref readonly TensorSpan<T> Abs<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : INumberBase<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Abs);
}
#endregion
#region Acos
/// <summary>
/// Takes the inverse cosine of each element of the <see cref="Tensor{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
public static Tensor<T> Acos<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Acos(x, output);
return output;
}
/// <summary>
/// Takes the inverse cosine of each element of the <see cref="Tensor{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="TensorSpan{T}"/> to take the sin of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Acos<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Acos);
}
#endregion
#region Acosh
/// <summary>
/// Takes the inverse hyperbolic cosine of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
public static Tensor<T> Acosh<T>(in ReadOnlyTensorSpan<T> x)
where T : IHyperbolicFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Acosh(x, output);
return output;
}
/// <summary>
/// Takes the inverse hyperbolic cosine of each element of the <see cref="TensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="TensorSpan{T}"/> to take the sin of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Acosh<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IHyperbolicFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Acosh);
}
#endregion
#region AcosPi
/// <summary>
/// Takes the inverse hyperbolic cosine divided by pi of each element of the <see cref="Tensor{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
public static Tensor<T> AcosPi<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
AcosPi(x, output);
return output;
}
/// <summary>
/// Takes the inverse hyperbolic cosine divided by pi of each element of the <see cref="TensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> AcosPi<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.AcosPi);
}
#endregion
#region Add
/// <summary>
/// Adds each element of <paramref name="x"/> to each element of <paramref name="y"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> of values to add.</param>
/// <param name="y">The second <see cref="ReadOnlyTensorSpan{T}"/> of values to add.</param>
public static Tensor<T> Add<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IAdditionOperators<T, T, T>, IAdditiveIdentity<T, T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
Add(x, y, output);
return output;
}
/// <summary>
/// Adds <paramref name="y"/> to each element of <paramref name="x"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> of values to add.</param>
/// <param name="y">The <typeparamref name="T"/> to add to each element of <paramref name="x"/>.</param>
public static Tensor<T> Add<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IAdditionOperators<T, T, T>, IAdditiveIdentity<T, T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Add(x, y, output);
return output;
}
/// <summary>
/// Adds each element of <paramref name="x"/> to each element of <paramref name="y"/> and returns a new <see cref="ReadOnlyTensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> of values to add.</param>
/// <param name="y">The second <see cref="ReadOnlyTensorSpan{T}"/> of values to add.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Add<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IAdditionOperators<T, T, T>, IAdditiveIdentity<T, T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.Add);
}
/// <summary>
/// Adds <paramref name="y"/> to each element of <paramref name="x"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> of values to add.</param>
/// <param name="y">The <typeparamref name="T"/> to add to each element of <paramref name="x"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Add<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : IAdditionOperators<T, T, T>, IAdditiveIdentity<T, T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.Add);
}
#endregion
#region Asin
/// <summary>
/// Takes the inverse sin of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
public static Tensor<T> Asin<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Asin(x, output);
return output;
}
/// <summary>
/// Takes the inverse sin of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Asin<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Asin);
}
#endregion
#region Asinh
/// <summary>
/// Takes the inverse hyperbolic sine of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
public static Tensor<T> Asinh<T>(in ReadOnlyTensorSpan<T> x)
where T : IHyperbolicFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Asinh(x, output);
return output;
}
/// <summary>
/// Takes the inverse hyperbolic sine of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Asinh<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IHyperbolicFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Asinh);
}
#endregion
#region AsinPi
/// <summary>
/// Takes the inverse hyperbolic sine divided by pi of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
public static Tensor<T> AsinPi<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
AsinPi(x, output);
return output;
}
/// <summary>
/// Takes the inverse hyperbolic sine divided by pi of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> AsinPi<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.AsinPi);
}
#endregion
#region Atan
/// <summary>
/// Takes the arc tangent of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/></param>
public static Tensor<T> Atan<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Atan(x, output);
return output;
}
/// <summary>
/// Takes the arc tangent of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Atan<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Atan);
}
#endregion
#region Atan2
/// <summary>
/// Takes the arc tangent of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Atan2<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IFloatingPointIeee754<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
Atan2(x, y, output);
return output;
}
/// <summary>
/// Takes the arc tangent of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Atan2<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IFloatingPointIeee754<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.Atan2);
}
/// <summary>
/// Takes the arc tangent of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Atan2<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IFloatingPointIeee754<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Atan2(x, y, output);
return output;
}
/// <summary>
/// Takes the arc tangent of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Atan2<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : IFloatingPointIeee754<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.Atan2);
}
/// <summary>
/// Takes the arc tangent of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Atan2<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IFloatingPointIeee754<T>
{
Tensor<T> output = Tensor.Create<T>(y.Lengths);
Atan2(x, y, output);
return output;
}
/// <summary>
/// Takes the arc tangent of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Atan2<T>(T x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IFloatingPointIeee754<T>
{
return ref TensorPrimitivesHelperTInSpanInSpanOut(x, y, destination, TensorPrimitives.Atan2);
}
#endregion
#region Atan2Pi
/// <summary>
/// Takes the arc tangent of the two input <see cref="ReadOnlyTensorSpan{T}"/>, divides each element by pi, and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Atan2Pi<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IFloatingPointIeee754<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
Atan2Pi(x, y, output);
return output;
}
/// <summary>
/// Takes the arc tangent of the two input <see cref="ReadOnlyTensorSpan{T}"/>, divides each element by pi, and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Atan2Pi<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IFloatingPointIeee754<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.Atan2Pi);
}
/// <summary>
/// Takes the arc tangent of the two input <see cref="ReadOnlyTensorSpan{T}"/>, divides each element by pi, and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Atan2Pi<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IFloatingPointIeee754<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Atan2Pi(x, y, output);
return output;
}
/// <summary>
/// Takes the arc tangent of the two input <see cref="ReadOnlyTensorSpan{T}"/>, divides each element by pi, and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Atan2Pi<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : IFloatingPointIeee754<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.Atan2Pi);
}
/// <summary>
/// Takes the arc tangent of the two input <see cref="ReadOnlyTensorSpan{T}"/>, divides each element by pi, and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Atan2Pi<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IFloatingPointIeee754<T>
{
Tensor<T> output = Tensor.Create<T>(y.Lengths);
Atan2Pi(x, y, output);
return output;
}
/// <summary>
/// Takes the arc tangent of the two input <see cref="ReadOnlyTensorSpan{T}"/>, divides each element by pi, and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Atan2Pi<T>(T x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IFloatingPointIeee754<T>
{
return ref TensorPrimitivesHelperTInSpanInSpanOut(x, y, destination, TensorPrimitives.Atan2Pi);
}
#endregion
#region Atanh
/// <summary>
/// Takes the inverse hyperbolic tangent of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Atanh<T>(in ReadOnlyTensorSpan<T> x)
where T : IHyperbolicFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Atanh(x, output);
return output;
}
/// <summary>
/// Takes the inverse hyperbolic tangent of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Atanh<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IHyperbolicFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Atanh);
}
#endregion
#region AtanPi
/// <summary>
/// Takes the inverse hyperbolic tangent divided by pi of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The input<see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> AtanPi<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
AtanPi(x, output);
return output;
}
/// <summary>
/// Takes the inverse hyperbolic tangent divided by pi of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The input<see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> AtanPi<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.AtanPi);
}
#endregion
#region BitwiseAnd
/// <summary>
/// Computes the element-wise bitwise and of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> BitwiseAnd<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IBitwiseOperators<T, T, T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
BitwiseAnd(x, y, output);
return output;
}
/// <summary>
/// Computes the element-wise bitwise and of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> BitwiseAnd<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IBitwiseOperators<T, T, T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.BitwiseAnd);
}
/// <summary>
/// Computes the element-wise bitwise and of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The second value.</param>
public static Tensor<T> BitwiseAnd<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IBitwiseOperators<T, T, T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
BitwiseAnd(x, y, output);
return output;
}
/// <summary>
/// Computes the element-wise bitwise and of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The second value.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> BitwiseAnd<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : IBitwiseOperators<T, T, T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.BitwiseAnd);
}
#endregion
#region BitwiseOr
/// <summary>
/// Computes the element-wise bitwise of of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> BitwiseOr<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IBitwiseOperators<T, T, T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
BitwiseOr(x, y, output);
return output;
}
/// <summary>
/// Computes the element-wise bitwise of of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> BitwiseOr<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IBitwiseOperators<T, T, T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.BitwiseOr);
}
/// <summary>
/// Computes the element-wise bitwise or of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The second value.</param>
public static Tensor<T> BitwiseOr<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IBitwiseOperators<T, T, T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
BitwiseOr(x, y, output);
return output;
}
/// <summary>
/// Computes the element-wise bitwise or of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The second value.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> BitwiseOr<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : IBitwiseOperators<T, T, T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.BitwiseOr);
}
#endregion
#region CubeRoot
/// <summary>
/// Computes the element-wise cube root of the input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Cbrt<T>(in ReadOnlyTensorSpan<T> x)
where T : IRootFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Cbrt(x, output);
return output;
}
/// <summary>
/// Computes the element-wise cube root of the input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Cbrt<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IRootFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Cbrt);
}
#endregion
#region Ceiling
/// <summary>
/// Computes the element-wise ceiling of the input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Ceiling<T>(in ReadOnlyTensorSpan<T> x)
where T : IFloatingPoint<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Ceiling(x, output);
return output;
}
/// <summary>
/// Computes the element-wise ceiling of the input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Ceiling<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IFloatingPoint<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Ceiling);
}
#endregion
#region ConvertChecked
/// <summary>
/// Copies <paramref name="source"/> to a new <see cref="ReadOnlyTensorSpan{TTO}"/> converting each <typeparamref name="TFrom"/>
/// value to a <typeparamref name="TTo"/> value.
/// </summary>
/// <param name="source">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<TTo> ConvertChecked<TFrom, TTo>(in ReadOnlyTensorSpan<TFrom> source)
where TFrom : IEquatable<TFrom>, IEqualityOperators<TFrom, TFrom, bool>, INumberBase<TFrom>
where TTo : INumberBase<TTo>
{
Tensor<TTo> output = Tensor.Create<TTo>(source.Lengths);
ConvertChecked<TFrom, TTo>(source, output);
return output;
}
/// <summary>
/// Copies <paramref name="source"/> to a new <see cref="TensorSpan{TTo}"/> converting each <typeparamref name="TFrom"/>
/// value to a <typeparamref name="TTo"/> value.
/// </summary>
/// <param name="source">The input <see cref="TensorSpan{TFrom}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<TTo> ConvertChecked<TFrom, TTo>(scoped in ReadOnlyTensorSpan<TFrom> source, in TensorSpan<TTo> destination)
where TFrom : IEquatable<TFrom>, IEqualityOperators<TFrom, TFrom, bool>, INumberBase<TFrom>
where TTo : INumberBase<TTo>
{
return ref TensorPrimitivesHelperSpanInSpanOut(source, destination, TensorPrimitives.ConvertChecked);
}
#endregion
#region ConvertSaturating
/// <summary>
/// Copies <paramref name="source"/> to a new <see cref="ReadOnlyTensorSpan{TTO}"/> converting each <typeparamref name="TFrom"/>
/// value to a <typeparamref name="TTo"/> value.
/// </summary>
/// <param name="source">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<TTo> ConvertSaturating<TFrom, TTo>(in ReadOnlyTensorSpan<TFrom> source)
where TFrom : IEquatable<TFrom>, IEqualityOperators<TFrom, TFrom, bool>, INumberBase<TFrom>
where TTo : INumberBase<TTo>
{
Tensor<TTo> output = Tensor.Create<TTo>(source.Lengths);
ConvertSaturating<TFrom, TTo>(source, output);
return output;
}
/// <summary>
/// Copies <paramref name="source"/> to a new <see cref="TensorSpan{TTo}"/> converting each <typeparamref name="TFrom"/>
/// value to a <typeparamref name="TTo"/> value.
/// </summary>
/// <param name="source">The input <see cref="TensorSpan{TFrom}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<TTo> ConvertSaturating<TFrom, TTo>(scoped in ReadOnlyTensorSpan<TFrom> source, in TensorSpan<TTo> destination)
where TFrom : IEquatable<TFrom>, IEqualityOperators<TFrom, TFrom, bool>, INumberBase<TFrom>
where TTo : INumberBase<TTo>
{
return ref TensorPrimitivesHelperSpanInSpanOut(source, destination, TensorPrimitives.ConvertSaturating);
}
#endregion
#region ConvertTruncating
/// <summary>
/// Copies <paramref name="source"/> to a new <see cref="ReadOnlyTensorSpan{TTO}"/> converting each <typeparamref name="TFrom"/>
/// value to a <typeparamref name="TTo"/> value.
/// </summary>
/// <param name="source">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<TTo> ConvertTruncating<TFrom, TTo>(in ReadOnlyTensorSpan<TFrom> source)
where TFrom : IEquatable<TFrom>, IEqualityOperators<TFrom, TFrom, bool>, INumberBase<TFrom>
where TTo : INumberBase<TTo>
{
Tensor<TTo> output = Tensor.Create<TTo>(source.Lengths);
ConvertTruncating<TFrom, TTo>(source, output);
return output;
}
/// <summary>
/// Copies <paramref name="source"/> to a new <see cref="TensorSpan{TTo}"/> converting each <typeparamref name="TFrom"/>
/// value to a <typeparamref name="TTo"/> value.
/// </summary>
/// <param name="source">The input <see cref="TensorSpan{TFrom}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<TTo> ConvertTruncating<TFrom, TTo>(scoped in ReadOnlyTensorSpan<TFrom> source, in TensorSpan<TTo> destination)
where TFrom : IEquatable<TFrom>, IEqualityOperators<TFrom, TFrom, bool>, INumberBase<TFrom>
where TTo : INumberBase<TTo>
{
return ref TensorPrimitivesHelperSpanInSpanOut(source, destination, TensorPrimitives.ConvertTruncating);
}
#endregion
#region CopySign
/// <summary>
/// Computes the element-wise result of copying the sign from one number to another number in the specified tensors and returns a new tensor with the result.
/// </summary>
/// <param name="x">Input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="sign">The number with the associated sign.</param>
public static Tensor<T> CopySign<T>(in ReadOnlyTensorSpan<T> x, T sign)
where T : INumber<T>
{
Tensor<T> output = Create<T>(x.Lengths);
CopySign(x, sign, output);
return output;
}
/// <summary>
/// Computes the element-wise result of copying the sign from one number to another number in the specified tensors and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">Input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="sign">The <see cref="ReadOnlyTensorSpan{T}"/> with the associated signs.</param>
public static Tensor<T> CopySign<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> sign)
where T : INumber<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(sign.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, sign.Lengths));
}
CopySign(x, sign, output);
return output;
}
/// <summary>
/// Computes the element-wise result of copying the sign from one number to another number in the specified tensors and returns a new tensor with the result.
/// </summary>
/// <param name="x">Input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="sign">The number with the associated sign.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> CopySign<T>(scoped in ReadOnlyTensorSpan<T> x, T sign, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, sign, destination, TensorPrimitives.CopySign);
}
/// <summary>
/// Computes the element-wise result of copying the sign from one number to another number in the specified tensors and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">Input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="sign">The <see cref="ReadOnlyTensorSpan{T}"/> with the associated signs.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> CopySign<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> sign, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, sign, destination, TensorPrimitives.CopySign);
}
#endregion
#region Cos
/// <summary>
/// Takes the cosine of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the cosine of.</param>
public static Tensor<T> Cos<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Cos(x, output);
return output;
}
/// <summary>
/// Takes the cosine of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the cosine of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Cos<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Cos);
}
#endregion
#region Cosh
/// <summary>
/// Takes the hyperbolic cosine of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the cosine of.</param>
public static Tensor<T> Cosh<T>(in ReadOnlyTensorSpan<T> x)
where T : IHyperbolicFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Cosh(x, output);
return output;
}
/// <summary>
/// Takes the hyperbolic cosine of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the cosine of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Cosh<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IHyperbolicFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Cosh);
}
#endregion
#region CosineSimilarity
/// <summary>
/// Compute cosine similarity between <paramref name="x"/> and <paramref name="y"/>.
/// </summary>
/// <param name="x">The first <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <param name="y">The second <see cref="ReadOnlyTensorSpan{T}"/></param>
public static Tensor<T> CosineSimilarity<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IRootFunctions<T>
{
if (x.Rank != 2)
ThrowHelper.ThrowArgument_2DTensorRequired(nameof(x));
if (y.Rank != 2)
ThrowHelper.ThrowArgument_2DTensorRequired(nameof(y));
if (x.Lengths[1] != y.Lengths[1])
ThrowHelper.ThrowArgument_IncompatibleDimensions(x.Lengths[1], y.Lengths[1]);
nint dim1 = x.Lengths[0];
nint dim2 = y.Lengths[0];
T[] values = new T[dim1 * dim2];
Tensor<T> output = Tensor.Create<T>(values, [dim1, dim2]);
CosineSimilarity(x, y, output);
return output;
}
/// <summary>
/// Compute cosine similarity between <paramref name="x"/> and <paramref name="y"/>.
/// </summary>
/// <param name="x">The first <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <param name="y">The second <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> CosineSimilarity<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IRootFunctions<T>
{
if (x.Rank != 2)
ThrowHelper.ThrowArgument_2DTensorRequired(nameof(x));
if (y.Rank != 2)
ThrowHelper.ThrowArgument_2DTensorRequired(nameof(y));
if (x.Lengths[1] != y.Lengths[1])
ThrowHelper.ThrowArgument_IncompatibleDimensions(x.Lengths[1], y.Lengths[1]);
nint dim1 = x.Lengths[0];
nint dim2 = y.Lengths[0];
if (destination.Lengths[0] != dim1 || destination.Lengths[1] != dim2)
ThrowHelper.ThrowArgument_IncompatibleDimensions(x.Lengths[1], y.Lengths[1]);
Span<T> values = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination._shape._memoryLength);
scoped Span<nint> leftIndexes = stackalloc nint[2];
scoped Span<nint> rightIndexes = stackalloc nint[2];
int outputOffset = 0;
ReadOnlySpan<T> lspan;
ReadOnlySpan<T> rspan;
int rowLength = (int)x.Lengths[1];
for (int i = 0; i < dim1; i++)
{
for (int j = 0; j < dim2; j++)
{
lspan = MemoryMarshal.CreateReadOnlySpan(ref Unsafe.Add(ref x._reference, TensorSpanHelpers.ComputeLinearIndex(leftIndexes, x.Strides, x.Lengths)), (int)rowLength);
rspan = MemoryMarshal.CreateReadOnlySpan(ref Unsafe.Add(ref y._reference, TensorSpanHelpers.ComputeLinearIndex(rightIndexes, y.Strides, y.Lengths)), (int)rowLength);
values[outputOffset++] = TensorPrimitives.CosineSimilarity(lspan, rspan);
rightIndexes[0]++;
}
rightIndexes[0] = 0;
leftIndexes[0]++;
}
return ref destination;
}
#endregion
#region CosPi
/// <summary>Computes the element-wise cosine of the value in the specified tensor that has been multiplied by Pi and returns a new <see cref="Tensor{T}"/> with the results.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <remarks>
/// <para>
/// This method effectively computes <c><typeparamref name="T"/>.CosPi(<paramref name="x" />[i])</c>.
/// </para>
/// <para>
/// The angles in x must be in radians. Use <see cref="M:System.Single.DegreesToRadians(System.Single)"/> or multiply by <typeparamref name="T"/>.Pi/180 to convert degrees to radians.
/// </para>
/// <para>
/// This method may call into the underlying C runtime or employ instructions specific to the current architecture. Exact results may differ between different
/// operating systems or architectures.
/// </para>
/// </remarks>
public static Tensor<T> CosPi<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
CosPi(x, output);
return output;
}
/// <summary>Computes the element-wise cosine of the value in the specified tensor that has been multiplied by Pi and returns a new <see cref="TensorSpan{T}"/> with the results.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <param name="destination"></param>
/// <remarks>
/// <para>
/// This method effectively computes <c><typeparamref name="T"/>.CosPi(<paramref name="x" />[i])</c>.
/// </para>
/// <para>
/// The angles in x must be in radians. Use <see cref="M:System.Single.DegreesToRadians(System.Single)"/> or multiply by <typeparamref name="T"/>.Pi/180 to convert degrees to radians.
/// </para>
/// <para>
/// This method may call into the underlying C runtime or employ instructions specific to the current architecture. Exact results may differ between different
/// operating systems or architectures.
/// </para>
/// </remarks>
public static ref readonly TensorSpan<T> CosPi<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.CosPi);
}
#endregion
#region DegreesToRadians
/// <summary>
/// Computes the element-wise conversion of each number of degrees in the specified tensor to radians and returns a new tensor with the results.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> DegreesToRadians<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
DegreesToRadians(x, output);
return output;
}
/// <summary>
/// Computes the element-wise conversion of each number of degrees in the specified tensor to radians and returns a new tensor with the results.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> DegreesToRadians<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.DegreesToRadians);
}
#endregion
#region Distance
/// <summary>
/// Computes the distance between two points, specified as non-empty, equal-length tensors of numbers, in Euclidean space.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static T Distance<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y)
where T : IRootFunctions<T>
{
return TensorPrimitivesHelperTwoSpanInTOut(x, y, TensorPrimitives.Distance);
}
#endregion
#region Divide
/// <summary>
/// Divides each element of <paramref name="x"/> by <paramref name="y"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">Input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The divisor</param>
public static Tensor<T> Divide<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IDivisionOperators<T, T, T>
{
Tensor<T> output = Create<T>(x.Lengths);
Divide(x, y, output);
return output;
}
/// <summary>
/// Divides <paramref name="x"/> by each element of <paramref name="y"/> and returns a new <see cref="Tensor{T}"/> with the result."/>
/// </summary>
/// <param name="x">The value to be divided.</param>
/// <param name="y">The <see cref="ReadOnlyTensorSpan{T}"/> divisor.</param>
public static Tensor<T> Divide<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IDivisionOperators<T, T, T>
{
Tensor<T> output = Tensor.Create<T>(y.Lengths);
Divide(x, y, output);
return output;
}
/// <summary>
/// Divides each element of <paramref name="x"/> by its corresponding element in <paramref name="y"/> and returns
/// a new <see cref="ReadOnlyTensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to be divided.</param>
/// <param name="y">The <see cref="ReadOnlyTensorSpan{T}"/> divisor.</param>
public static Tensor<T> Divide<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IDivisionOperators<T, T, T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
Divide(x, y, output);
return output;
}
/// <summary>
/// Divides each element of <paramref name="x"/> by <paramref name="y"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">Input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The divisor</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Divide<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : IDivisionOperators<T, T, T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.Divide);
}
/// <summary>
/// Divides <paramref name="x"/> by each element of <paramref name="y"/> and returns a new <see cref="TensorSpan{T}"/> with the result."/>
/// </summary>
/// <param name="x">The value to be divided.</param>
/// <param name="y">The <see cref="ReadOnlyTensorSpan{T}"/> divisor.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Divide<T>(T x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IDivisionOperators<T, T, T>
{
return ref TensorPrimitivesHelperTInSpanInSpanOut(x, y, destination, TensorPrimitives.Divide);
}
/// <summary>
/// Divides each element of <paramref name="x"/> by its corresponding element in <paramref name="y"/> and returns
/// a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to be divided.</param>
/// <param name="y">The <see cref="ReadOnlyTensorSpan{T}"/> divisor.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Divide<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IDivisionOperators<T, T, T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.Divide);
}
#endregion
#region Dot
/// <summary>
/// Computes the dot product of two tensors containing numbers.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static T Dot<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IAdditionOperators<T, T, T>, IAdditiveIdentity<T, T>, IMultiplicativeIdentity<T, T>, IMultiplyOperators<T, T, T>
{
return TensorPrimitivesHelperTwoSpanInTOut(x, y, TensorPrimitives.Dot);
}
#endregion
#region Exp
/// <summary>
/// Computes the element-wise result of raising <c>e</c> to the single-precision floating-point number powers in the specified tensor.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Exp<T>(in ReadOnlyTensorSpan<T> x)
where T : IExponentialFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Exp(x, output);
return output;
}
/// <summary>
/// Computes the element-wise result of raising <c>e</c> to the single-precision floating-point number powers in the specified tensor.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Exp<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IExponentialFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Exp);
}
#endregion
#region Exp10
/// <summary>
/// Computes the element-wise result of raising 10 to the number powers in the specified tensor.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Exp10<T>(in ReadOnlyTensorSpan<T> x)
where T : IExponentialFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Exp10(x, output);
return output;
}
/// <summary>
/// Computes the element-wise result of raising 10 to the number powers in the specified tensor.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Exp10<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IExponentialFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Exp10);
}
#endregion
#region Exp10M1
/// <summary>Computes the element-wise result of raising 10 to the number powers in the specified tensor, minus one.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Exp10M1<T>(in ReadOnlyTensorSpan<T> x)
where T : IExponentialFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Exp10M1(x, output);
return output;
}
/// <summary>Computes the element-wise result of raising 10 to the number powers in the specified tensor, minus one.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Exp10M1<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IExponentialFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Exp10M1);
}
#endregion
#region Exp2
/// <summary>Computes the element-wise result of raising 2 to the number powers in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Exp2<T>(in ReadOnlyTensorSpan<T> x)
where T : IExponentialFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Exp2(x, output);
return output;
}
/// <summary>Computes the element-wise result of raising 2 to the number powers in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Exp2<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IExponentialFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Exp2);
}
#endregion
#region Exp2M1
/// <summary>Computes the element-wise result of raising 2 to the number powers in the specified tensor, minus one.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Exp2M1<T>(in ReadOnlyTensorSpan<T> x)
where T : IExponentialFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Exp2M1(x, output);
return output;
}
/// <summary>Computes the element-wise result of raising 2 to the number powers in the specified tensor, minus one.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Exp2M1<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IExponentialFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Exp2M1);
}
#endregion
#region ExpM1
/// <summary>Computes the element-wise result of raising <c>e</c> to the number powers in the specified tensor, minus 1.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> ExpM1<T>(in ReadOnlyTensorSpan<T> x)
where T : IExponentialFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
ExpM1(x, output);
return output;
}
/// <summary>Computes the element-wise result of raising <c>e</c> to the number powers in the specified tensor, minus 1.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> ExpM1<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IExponentialFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.ExpM1);
}
#endregion
#region Floor
/// <summary>Computes the element-wise floor of numbers in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Floor<T>(in ReadOnlyTensorSpan<T> x)
where T : IFloatingPoint<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Floor(x, output);
return output;
}
/// <summary>Computes the element-wise floor of numbers in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Floor<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IFloatingPoint<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Floor);
}
#endregion
#region Hypotenuse
/// <summary>
/// Computes the element-wise hypotenuse given values from two tensors representing the lengths of the shorter sides in a right-angled triangle.
/// If the shapes are not the same they are broadcast to the smallest compatible shape.
/// </summary>
/// <param name="x">Left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">Right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Hypot<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IRootFunctions<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
Hypot(x, y, output);
return output;
}
/// <summary>
/// Computes the element-wise hypotenuse given values from two tensors representing the lengths of the shorter sides in a right-angled triangle.
/// If the shapes are not the same they are broadcast to the smallest compatible shape.
/// </summary>
/// <param name="x">Left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">Right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Hypot<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IRootFunctions<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.Hypot);
}
#endregion
#region Ieee754Remainder
/// <summary>Computes the element-wise remainder of the numbers in the specified tensors.</summary>
/// If the shapes are not the same they are broadcast to the smallest compatible shape.
/// <param name="x">Left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">Right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Ieee754Remainder<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IFloatingPointIeee754<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
Ieee754Remainder(x, y, output);
return output;
}
/// <summary>Computes the element-wise remainder of the numbers in the specified tensors.</summary>
/// If the shapes are not the same they are broadcast to the smallest compatible shape.
/// <param name="x">Left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">Right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Ieee754Remainder<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IFloatingPointIeee754<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.Ieee754Remainder);
}
/// <summary>Computes the element-wise remainder of the numbers in the specified tensors.</summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Ieee754Remainder<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IFloatingPointIeee754<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Ieee754Remainder(x, y, output);
return output;
}
/// <summary>Computes the element-wise remainder of the numbers in the specified tensors.</summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Ieee754Remainder<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : IFloatingPointIeee754<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.Ieee754Remainder);
}
/// <summary>Computes the element-wise remainder of the numbers in the specified tensors.</summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Ieee754Remainder<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IFloatingPointIeee754<T>
{
Tensor<T> output = Tensor.Create<T>(y.Lengths);
Ieee754Remainder(x, y, output);
return output;
}
/// <summary>Computes the element-wise remainder of the numbers in the specified tensors.</summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Ieee754Remainder<T>(T x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IFloatingPointIeee754<T>
{
return ref TensorPrimitivesHelperTInSpanInSpanOut(x, y, destination, TensorPrimitives.Ieee754Remainder);
}
#endregion
#region ILogB
/// <summary>Computes the element-wise integer logarithm of numbers in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<int> ILogB<T>(in ReadOnlyTensorSpan<T> x)
where T : IFloatingPointIeee754<T>
{
Tensor<int> output = Tensor.Create<int>(x.Lengths, x.Strides);
ILogB(x, output);
return output;
}
/// <summary>Computes the element-wise integer logarithm of numbers in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<int> ILogB<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<int> destination)
where T : IFloatingPointIeee754<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.ILogB);
}
#endregion
#region IndexOfMax
/// <summary>Searches for the index of the largest number in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static int IndexOfMax<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : INumber<T>
{
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref x._reference, (int)x._shape._memoryLength);
return TensorPrimitives.IndexOfMax(span);
}
#endregion
#region IndexOfMaxMagnitude
/// <summary>Searches for the index of the number with the largest magnitude in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static int IndexOfMaxMagnitude<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : INumber<T>
{
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref x._reference, (int)x._shape._memoryLength);
return TensorPrimitives.IndexOfMaxMagnitude(span);
}
#endregion
#region IndexOfMin
/// <summary>Searches for the index of the smallest number in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static int IndexOfMin<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : INumber<T>
{
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref x._reference, (int)x._shape._memoryLength);
return TensorPrimitives.IndexOfMin(span);
}
#endregion
#region IndexOfMinMagnitude
/// <summary>
/// Searches for the index of the number with the smallest magnitude in the specified tensor.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static int IndexOfMinMagnitude<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : INumber<T>
{
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref x._reference, (int)x._shape._memoryLength);
return TensorPrimitives.IndexOfMinMagnitude(span);
}
#endregion
#region LeadingZeroCount
/// <summary>
/// Computes the element-wise leading zero count of numbers in the specified tensor.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> LeadingZeroCount<T>(in ReadOnlyTensorSpan<T> x)
where T : IBinaryInteger<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
LeadingZeroCount(x, output);
return output;
}
/// <summary>
/// Computes the element-wise leading zero count of numbers in the specified tensor.
/// </summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> LeadingZeroCount<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IBinaryInteger<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.LeadingZeroCount);
}
#endregion
#region Log
/// <summary>
/// Takes the natural logarithm of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the natural logarithm of.</param>
public static Tensor<T> Log<T>(in ReadOnlyTensorSpan<T> x)
where T : ILogarithmicFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Log(x, output);
return output;
}
/// <summary>
/// Takes the natural logarithm of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the natural logarithm of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Log<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ILogarithmicFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Log);
}
/// <summary>Computes the element-wise logarithm of the numbers in a specified tensor to the specified base in another specified tensor.</summary>
/// <param name="x">The first tensor</param>
/// <param name="y">The second tensor</param>
public static Tensor<T> Log<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : ILogarithmicFunctions<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
Log(x, y, output);
return output;
}
/// <summary>Computes the element-wise logarithm of the numbers in a specified tensor to the specified base in another specified tensor.</summary>
/// <param name="x">The first tensor</param>
/// <param name="y">The second tensor</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> Log<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : ILogarithmicFunctions<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.Log);
}
/// <summary>Computes the element-wise logarithm of the numbers in a specified tensor to the specified base in another specified tensor.</summary>
/// <param name="x">The first tensor</param>
/// <param name="y">The second tensor</param>
public static Tensor<T> Log<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : ILogarithmicFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Log(x, y, output);
return output;
}
/// <summary>Computes the element-wise logarithm of the numbers in a specified tensor to the specified base in another specified tensor.</summary>
/// <param name="x">The first tensor</param>
/// <param name="y">The second tensor</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> Log<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : ILogarithmicFunctions<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.Log);
}
#endregion
#region Log10
/// <summary>
/// Takes the base 10 logarithm of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the base 10 logarithm of.</param>
public static Tensor<T> Log10<T>(in ReadOnlyTensorSpan<T> x)
where T : ILogarithmicFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Log10(x, output);
return output;
}
/// <summary>
/// Takes the base 10 logarithm of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the base 10 logarithm of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Log10<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ILogarithmicFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Log10);
}
#endregion
#region Log10P1
/// <summary>
/// Takes the base 10 logarithm plus 1 of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the base 10 logarithm of.</param>
public static Tensor<T> Log10P1<T>(in ReadOnlyTensorSpan<T> x)
where T : ILogarithmicFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Log10P1(x, output);
return output;
}
/// <summary>
/// Takes the base 10 logarithm plus 1 of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the base 10 logarithm of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Log10P1<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ILogarithmicFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Log10P1);
}
#endregion
#region Log2
/// <summary>
/// Takes the base 2 logarithm of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the base 2 logarithm of.</param>
public static Tensor<T> Log2<T>(in ReadOnlyTensorSpan<T> x)
where T : ILogarithmicFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Log2(x, output);
return output;
}
/// <summary>
/// Takes the base 2 logarithm of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the base 2 logarithm of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Log2<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ILogarithmicFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Log2);
}
#endregion
#region Log2P1
/// <summary>
/// Takes the base 2 logarithm plus 1 of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the base 2 logarithm of.</param>
public static Tensor<T> Log2P1<T>(in ReadOnlyTensorSpan<T> x)
where T : ILogarithmicFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Log2P1(x, output);
return output;
}
/// <summary>
/// Takes the base 2 logarithm plus 1 of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the base 2 logarithm of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Log2P1<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ILogarithmicFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Log2P1);
}
#endregion
#region LogP1
/// <summary>
/// Takes the natural logarithm plus 1 of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the natural logarithm of.</param>
public static Tensor<T> LogP1<T>(in ReadOnlyTensorSpan<T> x)
where T : ILogarithmicFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
LogP1(x, output);
return output;
}
/// <summary>
/// Takes the natural logarithm plus 1 of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the natural logarithm of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> LogP1<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ILogarithmicFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.LogP1);
}
#endregion
#region Max
/// <summary>Searches for the largest number in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>..</param>
public static T Max<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : INumber<T>
{
return TensorPrimitivesHelperSpanInTOut(x, TensorPrimitives.Max);
}
/// <summary>Computes the element-wise maximum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> Max<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : INumber<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
Max(x, y, output);
return output;
}
/// <summary>Computes the element-wise maximum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> Max<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.Max);
}
/// <summary>Computes the element-wise maximum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> Max<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : INumber<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Max(x, y, output);
return output;
}
/// <summary>Computes the element-wise maximum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> Max<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.Max);
}
#endregion
#region MaxMagnitude
/// <summary>Searches for the number with the largest magnitude in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>..</param>
public static T MaxMagnitude<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : INumber<T>
{
return TensorPrimitivesHelperSpanInTOut(x, TensorPrimitives.MaxMagnitude);
}
/// <summary>Computes the element-wise number with the largest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> MaxMagnitude<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : INumber<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
MaxMagnitude(x, y, output);
return output;
}
/// <summary>Computes the element-wise number with the largest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> MaxMagnitude<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.MaxMagnitude);
}
/// <summary>Computes the element-wise number with the largest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> MaxMagnitude<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : INumber<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
MaxMagnitude(x, y, output);
return output;
}
/// <summary>Computes the element-wise number with the largest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> MaxMagnitude<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.MaxMagnitude);
}
#endregion
#region MaxMagnitudeNumber
/// <summary>Searches for the number with the largest magnitude in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>..</param>
public static T MaxMagnitudeNumber<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : INumberBase<T>
{
return TensorPrimitivesHelperSpanInTOut(x, TensorPrimitives.MaxMagnitudeNumber);
}
/// <summary>Computes the element-wise number with the largest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> MaxMagnitudeNumber<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : INumber<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
MaxMagnitudeNumber(x, y, output);
return output;
}
/// <summary>Computes the element-wise number with the largest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> MaxMagnitudeNumber<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.MaxMagnitudeNumber);
}
/// <summary>Computes the element-wise number with the largest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> MaxMagnitudeNumber<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : INumber<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
MaxMagnitudeNumber(x, y, output);
return output;
}
/// <summary>Computes the element-wise number with the largest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> MaxMagnitudeNumber<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.MaxMagnitudeNumber);
}
#endregion
#region MaxNumber
/// <summary>Searches for the largest number in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>..</param>
public static T MaxNumber<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : INumber<T>
{
return TensorPrimitivesHelperSpanInTOut(x, TensorPrimitives.MaxNumber);
}
/// <summary>Computes the element-wise maximum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> MaxNumber<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : INumber<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
MaxNumber(x, y, output);
return output;
}
/// <summary>Computes the element-wise maximum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> MaxNumber<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.MaxNumber);
}
/// <summary>Computes the element-wise maximum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> MaxNumber<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : INumber<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
MaxNumber(x, y, output);
return output;
}
/// <summary>Computes the element-wise maximum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> MaxNumber<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.MaxNumber);
}
#endregion
#region Min
/// <summary>Searches for the smallest number in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static T Min<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : INumber<T>
{
return TensorPrimitivesHelperSpanInTOut(x, TensorPrimitives.Min);
}
/// <summary>Computes the element-wise minimum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> Min<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : INumber<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
Min(x, y, output);
return output;
}
/// <summary>Computes the element-wise minimum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> Min<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.Min);
}
/// <summary>Computes the element-wise minimum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> Min<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : INumber<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Min(x, y, output);
return output;
}
/// <summary>Computes the element-wise minimum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> Min<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.Min);
}
#endregion
#region MinMagnitude
/// <summary>Searches for the number with the smallest magnitude in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static T MinMagnitude<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : INumber<T>
{
return TensorPrimitivesHelperSpanInTOut(x, TensorPrimitives.MinMagnitude);
}
/// <summary>Computes the element-wise number with the smallest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> MinMagnitude<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : INumber<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
MinMagnitude(x, y, output);
return output;
}
/// <summary>Computes the element-wise number with the smallest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> MinMagnitude<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.MinMagnitude);
}
/// <summary>Computes the element-wise number with the smallest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> MinMagnitude<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : INumber<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
MinMagnitude(x, y, output);
return output;
}
/// <summary>Computes the element-wise number with the smallest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> MinMagnitude<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.MinMagnitude);
}
#endregion
#region MinMagnitudeNumber
/// <summary>Searches for the number with the smallest magnitude in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>..</param>
public static T MinMagnitudeNumber<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : INumberBase<T>
{
return TensorPrimitivesHelperSpanInTOut(x, TensorPrimitives.MinMagnitudeNumber);
}
/// <summary>Computes the element-wise number with the smallest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> MinMagnitudeNumber<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : INumber<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
MinMagnitudeNumber(x, y, output);
return output;
}
/// <summary>Computes the element-wise number with the smallest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> MinMagnitudeNumber<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.MinMagnitudeNumber);
}
/// <summary>Computes the element-wise number with the smallest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> MinMagnitudeNumber<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : INumber<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
MinMagnitudeNumber(x, y, output);
return output;
}
/// <summary>Computes the element-wise number with the smallest magnitude in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> MinMagnitudeNumber<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.MinMagnitudeNumber);
}
#endregion
#region MinNumber
/// <summary>Searches for the smallest number in the specified tensor.</summary>
/// <param name="x">The input <see cref="TensorSpan{T}"/>..</param>
public static T MinNumber<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : INumber<T>
{
return TensorPrimitivesHelperSpanInTOut(x, TensorPrimitives.MinNumber);
}
/// <summary>Computes the element-wise minimum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> MinNumber<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : INumber<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
MinNumber(x, y, output);
return output;
}
/// <summary>Computes the element-wise minimum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> MinNumber<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.MinNumber);
}
/// <summary>Computes the element-wise minimum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
public static Tensor<T> MinNumber<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : INumber<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
MinNumber(x, y, output);
return output;
}
/// <summary>Computes the element-wise minimum of the numbers in the specified tensors.</summary>
/// <param name="x">The first tensor, represented as a span.</param>
/// <param name="y">The second tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
public static ref readonly TensorSpan<T> MinNumber<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : INumber<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.MinNumber);
}
#endregion
#region Multiply
/// <summary>
/// Multiplies each element of <paramref name="x"/> with <paramref name="y"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">Input <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <param name="y"><typeparamref name="T"/> value to multiply by.</param>
public static Tensor<T> Multiply<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IMultiplyOperators<T, T, T>, IMultiplicativeIdentity<T, T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Multiply((ReadOnlyTensorSpan<T>)x, y, output);
return output;
}
/// <summary>
/// Multiplies each element of <paramref name="x"/> with <paramref name="y"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// If the shapes are not the same they are broadcast to the smallest compatible shape.
/// </summary>
/// <param name="x">Left <see cref="ReadOnlyTensorSpan{T}"/> for multiplication.</param>
/// <param name="y">Right <see cref="ReadOnlyTensorSpan{T}"/> for multiplication.</param>
public static Tensor<T> Multiply<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IMultiplyOperators<T, T, T>, IMultiplicativeIdentity<T, T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
Multiply((ReadOnlyTensorSpan<T>)x, y, output);
return output;
}
/// <summary>
/// Multiplies each element of <paramref name="x"/> with <paramref name="y"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">Input <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <param name="y"><typeparamref name="T"/> value to multiply by.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Multiply<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : IMultiplyOperators<T, T, T>, IMultiplicativeIdentity<T, T>
{
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref x._reference, (int)x._shape._memoryLength);
Span<T> ospan = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination._shape._memoryLength);
TensorPrimitives.Multiply(span, y, ospan);
return ref destination;
}
/// <summary>
/// Multiplies each element of <paramref name="x"/> with <paramref name="y"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// If the shapes are not the same they are broadcast to the smallest compatible shape.
/// </summary>
/// <param name="x">Left <see cref="ReadOnlyTensorSpan{T}"/> for multiplication.</param>
/// <param name="y">Right <see cref="ReadOnlyTensorSpan{T}"/> for multiplication.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Multiply<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IMultiplyOperators<T, T, T>, IMultiplicativeIdentity<T, T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.Multiply);
}
#endregion
#region Negate
/// <summary>Computes the element-wise negation of each number in the specified tensor.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/></param>
public static Tensor<T> Negate<T>(in ReadOnlyTensorSpan<T> x)
where T : IUnaryNegationOperators<T, T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Negate(x, output);
return output;
}
/// <summary>Computes the element-wise negation of each number in the specified tensor.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Negate<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IUnaryNegationOperators<T, T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Negate);
}
#endregion
#region Norm
/// <summary>
/// Takes the norm of the <see cref="ReadOnlyTensorSpan{T}"/> and returns the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the norm of.</param>
public static T Norm<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : IRootFunctions<T>
{
return TensorPrimitivesHelperSpanInTOut(x, TensorPrimitives.Norm);
}
#endregion
#region OnesComplement
/// <summary>Computes the element-wise one's complement of numbers in the specified tensor.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/></param>
public static Tensor<T> OnesComplement<T>(in ReadOnlyTensorSpan<T> x)
where T : IBitwiseOperators<T, T, T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
OnesComplement(x, output);
return output;
}
/// <summary>Computes the element-wise one's complement of numbers in the specified tensor.</summary>
/// <param name="y">The <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> OnesComplement<T>(scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IBitwiseOperators<T, T, T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(y, destination, TensorPrimitives.OnesComplement);
}
#endregion
#region PopCount
/// <summary>Computes the element-wise population count of numbers in the specified tensor.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/></param>
public static Tensor<T> PopCount<T>(in ReadOnlyTensorSpan<T> x)
where T : IBinaryInteger<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
PopCount(x, output);
return output;
}
/// <summary>Computes the element-wise population count of numbers in the specified tensor.</summary>
/// <param name="y">The <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> PopCount<T>(scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IBinaryInteger<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(y, destination, TensorPrimitives.PopCount);
}
#endregion
#region Pow
/// <summary>Computes the element-wise power of a number in a specified tensor raised to a number in another specified tensors.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The second input <see cref="ReadOnlyTensorSpan{T}"/></param>
public static Tensor<T> Pow<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IPowerFunctions<T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
Pow(x, y, output);
return output;
}
/// <summary>Computes the element-wise power of a number in a specified tensor raised to a number in another specified tensors.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The second input <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Pow<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IPowerFunctions<T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.Pow);
}
/// <summary>Computes the element-wise power of a number in a specified tensor raised to a number in another specified tensors.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The second input</param>
public static Tensor<T> Pow<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IPowerFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Pow(x, y, output);
return output;
}
/// <summary>Computes the element-wise power of a number in a specified tensor raised to a number in another specified tensors.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The second input <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Pow<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : IPowerFunctions<T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.Pow);
}
/// <summary>Computes the element-wise power of a number in a specified tensor raised to a number in another specified tensors.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The second input</param>
public static Tensor<T> Pow<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : IPowerFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(y.Lengths);
Pow(x, y, output);
return output;
}
/// <summary>Computes the element-wise power of a number in a specified tensor raised to a number in another specified tensors.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The second input <see cref="ReadOnlyTensorSpan{T}"/></param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Pow<T>(T x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IPowerFunctions<T>
{
return ref TensorPrimitivesHelperTInSpanInSpanOut(x, y, destination, TensorPrimitives.Pow);
}
#endregion
#region Product
/// <summary>Computes the product of all elements in the specified non-empty tensor of numbers.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static T Product<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : IMultiplicativeIdentity<T, T>, IMultiplyOperators<T, T, T>
{
return TensorPrimitivesHelperSpanInTOut(x, TensorPrimitives.Product);
}
#endregion
#region RadiansToDegrees
/// <summary>Computes the element-wise conversion of each number of radians in the specified tensor to degrees.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> RadiansToDegrees<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
RadiansToDegrees(x, output);
return output;
}
/// <summary>Computes the element-wise conversion of each number of radians in the specified tensor to degrees.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> RadiansToDegrees<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.RadiansToDegrees);
}
#endregion
#region Reciprocal
/// <summary>Computes the element-wise reciprocal of numbers in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Reciprocal<T>(in ReadOnlyTensorSpan<T> x)
where T : IFloatingPoint<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Reciprocal(x, output);
return output;
}
/// <summary>Computes the element-wise reciprocal of numbers in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Reciprocal<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IFloatingPoint<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Reciprocal);
}
#endregion
#region RootN
/// <summary>Computes the element-wise n-th root of the values in the specified tensor.</summary>
/// <param name="x">The tensor, represented as a span.</param>
/// <param name="n">The degree of the root to be computed, represented as a scalar.</param>
public static Tensor<T> RootN<T>(in ReadOnlyTensorSpan<T> x, int n)
where T : IRootFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
RootN(x, n, output);
return output;
}
/// <summary>Computes the element-wise n-th root of the values in the specified tensor.</summary>
/// <param name="x">The tensor, represented as a span.</param>
/// <param name="destination">The destination tensor, represented as a span.</param>
/// <param name="n">The degree of the root to be computed, represented as a scalar.</param>
public static ref readonly TensorSpan<T> RootN<T>(scoped in ReadOnlyTensorSpan<T> x, int n, in TensorSpan<T> destination)
where T : IRootFunctions<T>
{
if (destination._shape._memoryLength < x._shape._memoryLength)
ThrowHelper.ThrowArgumentException_DestinationTooShort();
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref x._reference, (int)x._shape._memoryLength);
Span<T> ospan = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination._shape._memoryLength);
TensorPrimitives.RootN(span, n, ospan);
return ref destination;
}
#endregion
#region RotateLeft
/// <summary>Computes the element-wise rotation left of numbers in the specified tensor by the specified rotation amount.</summary>
/// <param name="x">The tensor</param>
/// <param name="rotateAmount">The number of bits to rotate, represented as a scalar.</param>
/// <exception cref="ArgumentException">Destination is too short.</exception>
public static Tensor<T> RotateLeft<T>(in ReadOnlyTensorSpan<T> x, int rotateAmount)
where T : IBinaryInteger<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
RotateLeft(x, rotateAmount, output);
return output;
}
/// <summary>Computes the element-wise rotation left of numbers in the specified tensor by the specified rotation amount.</summary>
/// <param name="x">The tensor</param>
/// <param name="rotateAmount">The number of bits to rotate, represented as a scalar.</param>
/// <param name="destination"></param>
/// <exception cref="ArgumentException">Destination is too short.</exception>
public static ref readonly TensorSpan<T> RotateLeft<T>(scoped in ReadOnlyTensorSpan<T> x, int rotateAmount, in TensorSpan<T> destination)
where T : IBinaryInteger<T>
{
if (destination._shape._memoryLength < x._shape._memoryLength)
ThrowHelper.ThrowArgumentException_DestinationTooShort();
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref x._reference, (int)x._shape._memoryLength);
Span<T> ospan = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination._shape._memoryLength);
TensorPrimitives.RotateLeft(span, rotateAmount, ospan);
return ref destination;
}
#endregion
#region RotateRight
/// <summary>Computes the element-wise rotation right of numbers in the specified tensor by the specified rotation amount.</summary>
/// <param name="x">The tensor</param>
/// <param name="rotateAmount">The number of bits to rotate, represented as a scalar.</param>
/// <exception cref="ArgumentException">Destination is too short.</exception>
public static Tensor<T> RotateRight<T>(in ReadOnlyTensorSpan<T> x, int rotateAmount)
where T : IBinaryInteger<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
RotateRight(x, rotateAmount, output);
return output;
}
/// <summary>Computes the element-wise rotation right of numbers in the specified tensor by the specified rotation amount.</summary>
/// <param name="x">The tensor</param>
/// <param name="rotateAmount">The number of bits to rotate, represented as a scalar.</param>
/// <param name="destination"></param>
/// <exception cref="ArgumentException">Destination is too short.</exception>
public static ref readonly TensorSpan<T> RotateRight<T>(scoped in ReadOnlyTensorSpan<T> x, int rotateAmount, in TensorSpan<T> destination)
where T : IBinaryInteger<T>
{
if (destination._shape._memoryLength < x._shape._memoryLength)
ThrowHelper.ThrowArgumentException_DestinationTooShort();
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref x._reference, (int)x._shape._memoryLength);
Span<T> ospan = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination._shape._memoryLength);
TensorPrimitives.RotateRight(span, rotateAmount, ospan);
return ref destination;
}
#endregion
#region Round
/// <summary>Computes the element-wise rounding of the numbers in the specified tensor</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Round<T>(in ReadOnlyTensorSpan<T> x)
where T : IFloatingPoint<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Round(x, output);
return output;
}
/// <summary>Computes the element-wise rounding of the numbers in the specified tensor</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Round<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IFloatingPoint<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Round);
}
/// <summary>Computes the element-wise rounding of the numbers in the specified tensor</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="digits"></param>
/// <param name="mode"></param>
public static Tensor<T> Round<T>(in ReadOnlyTensorSpan<T> x, int digits, MidpointRounding mode)
where T : IFloatingPoint<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Round(x, digits, mode, output);
return output;
}
/// <summary>Computes the element-wise rounding of the numbers in the specified tensor</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="digits"></param>
/// <param name="mode"></param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Round<T>(scoped in ReadOnlyTensorSpan<T> x, int digits, MidpointRounding mode, in TensorSpan<T> destination)
where T : IFloatingPoint<T>
{
if (destination._shape._memoryLength < x._shape._memoryLength)
ThrowHelper.ThrowArgumentException_DestinationTooShort();
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref x._reference, (int)x._shape._memoryLength);
Span<T> ospan = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination._shape._memoryLength);
TensorPrimitives.Round(span, digits, mode, ospan);
return ref destination;
}
/// <summary>Computes the element-wise rounding of the numbers in the specified tensor</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="digits"></param>
public static Tensor<T> Round<T>(in ReadOnlyTensorSpan<T> x, int digits)
where T : IFloatingPoint<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Round(x, digits, output);
return output;
}
/// <summary>Computes the element-wise rounding of the numbers in the specified tensor</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="digits"></param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Round<T>(scoped in ReadOnlyTensorSpan<T> x, int digits, in TensorSpan<T> destination)
where T : IFloatingPoint<T>
{
if (destination._shape._memoryLength < x._shape._memoryLength)
ThrowHelper.ThrowArgumentException_DestinationTooShort();
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref x._reference, (int)x._shape._memoryLength);
Span<T> ospan = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination._shape._memoryLength);
TensorPrimitives.Round(span, digits, ospan);
return ref destination;
}
/// <summary>Computes the element-wise rounding of the numbers in the specified tensor</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="mode"></param>
public static Tensor<T> Round<T>(in ReadOnlyTensorSpan<T> x, MidpointRounding mode)
where T : IFloatingPoint<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Round(x, mode, output);
return output;
}
/// <summary>Computes the element-wise rounding of the numbers in the specified tensor</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="mode"></param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Round<T>(scoped in ReadOnlyTensorSpan<T> x, MidpointRounding mode, in TensorSpan<T> destination)
where T : IFloatingPoint<T>
{
if (destination._shape._memoryLength < x._shape._memoryLength)
ThrowHelper.ThrowArgumentException_DestinationTooShort();
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref x._reference, (int)x._shape._memoryLength);
Span<T> ospan = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination._shape._memoryLength);
TensorPrimitives.Round(span, mode, ospan);
return ref destination;
}
#endregion
#region Sigmoid
/// <summary>Computes the element-wise sigmoid function on the specified non-empty tensor of numbers.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Sigmoid<T>(in ReadOnlyTensorSpan<T> x)
where T : IExponentialFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Sigmoid(x, output);
return output;
}
/// <summary>Computes the element-wise sigmoid function on the specified non-empty tensor of numbers.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Sigmoid<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IExponentialFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Sigmoid);
}
#endregion
#region Sin
/// <summary>
/// Takes the sin of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
public static Tensor<T> Sin<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Sin(x, output);
return output;
}
/// <summary>
/// Takes the sin of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Sin<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Sin);
}
#endregion
#region Sinh
/// <summary>Computes the element-wise hyperbolic sine of each radian angle in the specified tensor.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
public static Tensor<T> Sinh<T>(in ReadOnlyTensorSpan<T> x)
where T : IHyperbolicFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Sinh(x, output);
return output;
}
/// <summary>Computes the element-wise hyperbolic sine of each radian angle in the specified tensor.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Sinh<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IHyperbolicFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Sinh);
}
#endregion
#region SinPi
/// <summary>Computes the element-wise sine of the value in the specified tensor that has been multiplied by Pi.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
public static Tensor<T> SinPi<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
SinPi(x, output);
return output;
}
/// <summary>Computes the element-wise sine of the value in the specified tensor that has been multiplied by Pi.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> SinPi<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.SinPi);
}
#endregion
#region SoftMax
/// <summary>Computes the softmax function over the specified non-empty tensor of numbers.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
public static Tensor<T> SoftMax<T>(in ReadOnlyTensorSpan<T> x)
where T : IExponentialFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
SoftMax(x, output);
return output;
}
/// <summary>Computes the softmax function over the specified non-empty tensor of numbers.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> SoftMax<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IExponentialFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.SoftMax);
}
#endregion
#region Sqrt
/// <summary>
/// Takes the square root of each element of the <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the square root of.</param>
public static Tensor<T> Sqrt<T>(in ReadOnlyTensorSpan<T> x)
where T : IRootFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Sqrt(x, output);
return output;
}
/// <summary>
/// Takes the square root of each element of the <paramref name="x"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the square root of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Sqrt<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IRootFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Sqrt);
}
#endregion
#region Subtract
/// <summary>
/// Subtracts <paramref name="y"/> from each element of <paramref name="x"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The <typeparamref name="T"/> to subtract.</param>
public static Tensor<T> Subtract<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : ISubtractionOperators<T, T, T>
{
Tensor<T> output = Create<T>(x.Lengths);
Subtract(x, y, output);
return output;
}
/// <summary>
/// Subtracts each element of <paramref name="y"/> from <paramref name="x"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <typeparamref name="T"/> to be subtracted from.</param>
/// <param name="y">The <see cref="ReadOnlyTensorSpan{T}"/> of values to subtract.</param>
public static Tensor<T> Subtract<T>(T x, in ReadOnlyTensorSpan<T> y)
where T : ISubtractionOperators<T, T, T>
{
Tensor<T> output = Create<T>(y.Lengths);
Subtract(x, y, output);
return output;
}
/// <summary>
/// Subtracts each element of <paramref name="x"/> from <paramref name="y"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> with values to be subtracted from.</param>
/// <param name="y">The <see cref="ReadOnlyTensorSpan{T}"/> with values to subtract.</param>
public static Tensor<T> Subtract<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : ISubtractionOperators<T, T, T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
Subtract(x, y, output);
return output;
}
/// <summary>
/// Subtracts <paramref name="y"/> from each element of <paramref name="x"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> with values to be subtracted from.</param>
/// <param name="y">The <typeparamref name="T"/> value to subtract.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Subtract<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : ISubtractionOperators<T, T, T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.Subtract);
}
/// <summary>
/// Subtracts each element of <paramref name="y"/> from <paramref name="x"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <typeparamref name="T"/> value to be subtracted from.</param>
/// <param name="y">The <see cref="ReadOnlyTensorSpan{T}"/> values to subtract.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Subtract<T>(T x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : ISubtractionOperators<T, T, T>
{
return ref TensorPrimitivesHelperTInSpanInSpanOut(x, y, destination, TensorPrimitives.Subtract);
}
/// <summary>
/// Subtracts each element of <paramref name="x"/> from <paramref name="y"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> of values to be subtracted from.</param>
/// <param name="y">The <see cref="ReadOnlyTensorSpan{T}"/>of values to subtract.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Subtract<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : ISubtractionOperators<T, T, T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.Subtract);
}
#endregion
#region Sum
/// <summary>
/// Sums the elements of the specified tensor.
/// </summary>
/// <param name="x">Tensor to sum</param>
/// <returns></returns>
public static T Sum<T>(scoped in ReadOnlyTensorSpan<T> x)
where T : IAdditionOperators<T, T, T>, IAdditiveIdentity<T, T>
{
return TensorPrimitivesHelperSpanInTOut(x, TensorPrimitives.Sum);
}
#endregion
#region Tan
/// <summary>Computes the element-wise tangent of the value in the specified tensor.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
public static Tensor<T> Tan<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Tan(x, output);
return output;
}
/// <summary>Computes the element-wise tangent of the value in the specified tensor.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Tan<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Tan);
}
#endregion
#region Tanh
/// <summary>Computes the element-wise hyperbolic tangent of each radian angle in the specified tensor.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
public static Tensor<T> Tanh<T>(in ReadOnlyTensorSpan<T> x)
where T : IHyperbolicFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Tanh(x, output);
return output;
}
/// <summary>Computes the element-wise hyperbolic tangent of each radian angle in the specified tensor.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Tanh<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IHyperbolicFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Tanh);
}
#endregion
#region TanPi
/// <summary>Computes the element-wise tangent of the value in the specified tensor that has been multiplied by Pi.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
public static Tensor<T> TanPi<T>(in ReadOnlyTensorSpan<T> x)
where T : ITrigonometricFunctions<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
TanPi(x, output);
return output;
}
/// <summary>Computes the element-wise tangent of the value in the specified tensor that has been multiplied by Pi.</summary>
/// <param name="x">The <see cref="ReadOnlyTensorSpan{T}"/> to take the sin of.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> TanPi<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : ITrigonometricFunctions<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.TanPi);
}
#endregion
#region TrailingZeroCount
/// <summary>Computes the element-wise trailing zero count of numbers in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> TrailingZeroCount<T>(in ReadOnlyTensorSpan<T> x)
where T : IBinaryInteger<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
TrailingZeroCount(x, output);
return output;
}
/// <summary>Computes the element-wise trailing zero count of numbers in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> TrailingZeroCount<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IBinaryInteger<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.TrailingZeroCount);
}
#endregion
#region Truncate
/// <summary>Computes the element-wise truncation of numbers in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Truncate<T>(in ReadOnlyTensorSpan<T> x)
where T : IFloatingPoint<T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Truncate(x, output);
return output;
}
/// <summary>Computes the element-wise truncation of numbers in the specified tensor.</summary>
/// <param name="x">The input <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Truncate<T>(scoped in ReadOnlyTensorSpan<T> x, in TensorSpan<T> destination)
where T : IFloatingPoint<T>
{
return ref TensorPrimitivesHelperSpanInSpanOut(x, destination, TensorPrimitives.Truncate);
}
#endregion
#region Xor
/// <summary>Computes the element-wise XOR of numbers in the specified tensors.</summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
public static Tensor<T> Xor<T>(in ReadOnlyTensorSpan<T> x, in ReadOnlyTensorSpan<T> y)
where T : IBitwiseOperators<T, T, T>
{
Tensor<T> output;
if (x.Lengths.SequenceEqual(y.Lengths))
{
output = Tensor.Create<T>(x.Lengths);
}
else
{
output = Tensor.Create<T>(GetSmallestBroadcastableLengths(x.Lengths, y.Lengths));
}
Xor(x, y, output);
return output;
}
/// <summary>Computes the element-wise XOR of numbers in the specified tensors.</summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The right <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Xor<T>(scoped in ReadOnlyTensorSpan<T> x, scoped in ReadOnlyTensorSpan<T> y, in TensorSpan<T> destination)
where T : IBitwiseOperators<T, T, T>
{
return ref TensorPrimitivesHelperTwoSpanInSpanOut(x, y, destination, TensorPrimitives.Xor);
}
/// <summary>
/// Computes the element-wise Xor of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="Tensor{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The second value.</param>
public static Tensor<T> Xor<T>(in ReadOnlyTensorSpan<T> x, T y)
where T : IBitwiseOperators<T, T, T>
{
Tensor<T> output = Tensor.Create<T>(x.Lengths);
Xor(x, y, output);
return output;
}
/// <summary>
/// Computes the element-wise Xor of the two input <see cref="ReadOnlyTensorSpan{T}"/> and returns a new <see cref="TensorSpan{T}"/> with the result.
/// </summary>
/// <param name="x">The left <see cref="ReadOnlyTensorSpan{T}"/>.</param>
/// <param name="y">The second value.</param>
/// <param name="destination"></param>
public static ref readonly TensorSpan<T> Xor<T>(scoped in ReadOnlyTensorSpan<T> x, T y, in TensorSpan<T> destination)
where T : IBitwiseOperators<T, T, T>
{
return ref TensorPrimitivesHelperSpanInTInSpanOut(x, y, destination, TensorPrimitives.Xor);
}
#endregion
/// <summary>
/// Gets the smallest broadcastable lengths for two shapes.
/// </summary>
/// <param name="shape1">The first shape to broadcast.</param>
/// <param name="shape2">The second shape to broadcast.</param>
/// <returns>The smallest lengths these shapes can be broadcast to.</returns>
/// <exception cref="ArgumentException">The lengths of <paramref name="shape1" /> and <paramref name="shape2" /> are not broadcast compatible.</exception>
public static nint[] GetSmallestBroadcastableLengths(ReadOnlySpan<nint> shape1, ReadOnlySpan<nint> shape2)
{
if (!TensorHelpers.IsBroadcastableTo(shape1, shape2))
ThrowHelper.ThrowArgument_LengthsNotBroadcastCompatible();
nint[] intermediateShape = TensorHelpers.GetIntermediateShape(shape1, shape2.Length);
for (int i = 1; i <= shape1.Length; i++)
{
intermediateShape[^i] = Math.Max(intermediateShape[^i], shape1[^i]);
}
for (int i = 1; i <= shape2.Length; i++)
{
intermediateShape[^i] = Math.Max(intermediateShape[^i], shape2[^i]);
}
return intermediateShape;
}
#region TensorPrimitivesHelpers
private delegate void PerformCalculationSpanInSpanOut<TIn, TOut>(ReadOnlySpan<TIn> input, Span<TOut> output);
private delegate void PerformCalculationSpanInTInSpanOut<T>(ReadOnlySpan<T> input, T value, Span<T> output);
private delegate void PerformCalculationTInSpanInSpanOut<T>(T value, ReadOnlySpan<T> input, Span<T> output);
private delegate void PerformCalculationTwoSpanInSpanOut<T>(ReadOnlySpan<T> input, ReadOnlySpan<T> inputTwo, Span<T> output);
private delegate T PerformCalculationTwoSpanInTOut<T>(ReadOnlySpan<T> input, ReadOnlySpan<T> inputTwo);
private delegate T PerformCalculationSpanInTOut<T>(ReadOnlySpan<T> input);
private static T TensorPrimitivesHelperSpanInTOut<T>(scoped in ReadOnlyTensorSpan<T> input, PerformCalculationSpanInTOut<T> performCalculation)
{
if (TensorHelpers.IsContiguousAndDense(input))
{
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref input._reference, (int)input._shape.FlattenedLength);
return performCalculation(span);
}
// Flattening needs to happen
else
{
// TODO: Can optimize this to not need to realize the broadcasts
// That will need to be done on a per method basis.
nint flattenedLength = input.FlattenedLength;
T[] flattened = new T[flattenedLength];
input.FlattenTo(flattened);
return performCalculation(flattened);
}
}
private static T TensorPrimitivesHelperTwoSpanInTOut<T>(scoped in ReadOnlyTensorSpan<T> left, scoped in ReadOnlyTensorSpan<T> right, PerformCalculationTwoSpanInTOut<T> performCalculation)
{
// If sizes are the same.
if (TensorHelpers.IsContiguousAndDense(left) && TensorHelpers.IsContiguousAndDense(right) && TensorHelpers.AreLengthsTheSame(left, right))
{
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref left._reference, (int)left._shape.FlattenedLength);
ReadOnlySpan<T> rspan = MemoryMarshal.CreateSpan(ref right._reference, (int)right._shape.FlattenedLength);
return performCalculation(span, rspan);
}
// Broadcasting needs to happen.
else
{
// Have a couple different possible cases here.
// 1 - Both tensors have row contiguous memory (i.e. a 1x5 being broadcast to a 5x5)
// 2 - One tensor has row contiguous memory and the right has column contiguous memory (i.e. a 1x5 and a 5x1)
// Because we are returning a single T though we need to actual realize the broadcasts at this point to perform the calculations.
// TODO: Can optimize this to not need to realize the broadcasts
// That will need to be done on a per method basis.
nint[] newLengths = Tensor.GetSmallestBroadcastableLengths(left.Lengths, right.Lengths);
nint newLength = TensorSpanHelpers.CalculateTotalLength(newLengths);
TensorSpan<T> broadcastedLeft = new TensorSpan<T>(new T[newLength], newLengths, ReadOnlySpan<nint>.Empty);
TensorSpan<T> broadcastedRight = new TensorSpan<T>(new T[newLength], newLengths, ReadOnlySpan<nint>.Empty);
BroadcastTo(left, broadcastedLeft);
BroadcastTo(right, broadcastedRight);
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref broadcastedLeft._reference, (int)broadcastedLeft.FlattenedLength);
ReadOnlySpan<T> rspan = MemoryMarshal.CreateSpan(ref broadcastedRight._reference, (int)broadcastedRight.FlattenedLength);
return performCalculation(span, rspan);
}
}
private static ref readonly TensorSpan<TOut> TensorPrimitivesHelperSpanInSpanOut<TIn, TOut>(scoped in ReadOnlyTensorSpan<TIn> input, in TensorSpan<TOut> destination, PerformCalculationSpanInSpanOut<TIn, TOut> performCalculation)
{
// Make sure destination has enough memory
if (destination._shape._memoryLength < input._shape.FlattenedLength)
ThrowHelper.ThrowArgumentException_DestinationTooShort();
// Make sure destination shape works with input shape
TensorSpan<TOut> slicedDestination = destination.Slice(input._shape.Lengths);
Span<TOut> destinationSpan;
ReadOnlySpan<TIn> inputSpan;
// Memory is contiguous for both input and destination
if (TensorHelpers.IsContiguousAndDense(input) && TensorHelpers.IsContiguousAndDense<TOut>(slicedDestination))
{
inputSpan = MemoryMarshal.CreateSpan(ref input._reference, (int)input._shape.FlattenedLength);
destinationSpan = MemoryMarshal.CreateSpan(ref slicedDestination._reference, (int)slicedDestination._shape.FlattenedLength);
performCalculation(inputSpan, destinationSpan);
}
else
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (input.Lengths.Length > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(input.Lengths.Length);
curIndex = curIndexArray.AsSpan(0, input.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[input.Lengths.Length];
}
curIndex.Clear();
int copiedValues = 0;
nint rowLength = input.Lengths[^1];
while (copiedValues < slicedDestination.FlattenedLength)
{
inputSpan = MemoryMarshal.CreateReadOnlySpan(in input[curIndex], (int)rowLength);
destinationSpan = MemoryMarshal.CreateSpan(ref slicedDestination[curIndex], (int)rowLength);
performCalculation(inputSpan, destinationSpan);
copiedValues += (int)rowLength;
TensorSpanHelpers.AdjustIndexes(input.Rank - 2, 1, curIndex, input.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
}
return ref destination;
}
private static ref readonly TensorSpan<T> TensorPrimitivesHelperSpanInTInSpanOut<T>(scoped in ReadOnlyTensorSpan<T> input, T value, in TensorSpan<T> destination, PerformCalculationSpanInTInSpanOut<T> performCalculation)
{
if (destination._shape._memoryLength < input._shape.FlattenedLength)
ThrowHelper.ThrowArgumentException_DestinationTooShort();
// Make sure destination shape works with input shape
TensorSpan<T> slicedDestination = destination.Slice(input._shape.Lengths);
ReadOnlySpan<T> inputSpan;
Span<T> destinationSpan;
if (TensorHelpers.IsContiguousAndDense(input) && TensorHelpers.IsContiguousAndDense<T>(slicedDestination))
{
inputSpan = MemoryMarshal.CreateSpan(ref input._reference, (int)input.FlattenedLength);
destinationSpan = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination.FlattenedLength);
performCalculation(inputSpan, value, destinationSpan);
}
else
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (input.Lengths.Length > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(input.Lengths.Length);
curIndex = curIndexArray.AsSpan(0, input.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[input.Lengths.Length];
}
curIndex.Clear();
int copiedValues = 0;
nint rowLength = input.Lengths[^1];
while (copiedValues < slicedDestination.FlattenedLength)
{
inputSpan = MemoryMarshal.CreateReadOnlySpan(in input[curIndex], (int)rowLength);
destinationSpan = MemoryMarshal.CreateSpan(ref slicedDestination[curIndex], (int)rowLength);
performCalculation(inputSpan, value, destinationSpan);
copiedValues += (int)rowLength;
TensorSpanHelpers.AdjustIndexes(input.Rank - 2, 1, curIndex, input.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
}
return ref destination;
}
private static ref readonly TensorSpan<T> TensorPrimitivesHelperTInSpanInSpanOut<T>(T value, scoped in ReadOnlyTensorSpan<T> input, in TensorSpan<T> destination, PerformCalculationTInSpanInSpanOut<T> performCalculation)
{
if (destination._shape._memoryLength < input._shape.FlattenedLength)
ThrowHelper.ThrowArgumentException_DestinationTooShort();
// Make sure destination shape works with input shape
TensorSpan<T> slicedDestination = destination.Slice(input._shape.Lengths);
ReadOnlySpan<T> inputSpan;
Span<T> destinationSpan;
if (TensorHelpers.IsContiguousAndDense(input) && TensorHelpers.IsContiguousAndDense<T>(slicedDestination))
{
inputSpan = MemoryMarshal.CreateSpan(ref input._reference, (int)input._shape._memoryLength);
destinationSpan = MemoryMarshal.CreateSpan(ref destination._reference, (int)destination._shape._memoryLength);
performCalculation(value, inputSpan, destinationSpan);
}
else
{
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (input.Lengths.Length > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(input.Lengths.Length);
curIndex = curIndexArray.AsSpan(0, input.Rank);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[input.Lengths.Length];
}
curIndex.Clear();
int copiedValues = 0;
nint rowLength = input.Lengths[^1];
while (copiedValues < slicedDestination.FlattenedLength)
{
inputSpan = MemoryMarshal.CreateReadOnlySpan(in input[curIndex], (int)rowLength);
destinationSpan = MemoryMarshal.CreateSpan(ref slicedDestination[curIndex], (int)rowLength);
performCalculation(value, inputSpan, destinationSpan);
copiedValues += (int)rowLength;
TensorSpanHelpers.AdjustIndexes(input.Rank - 2, 1, curIndex, input.Lengths);
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
}
return ref destination;
}
private static ref readonly TensorSpan<T> TensorPrimitivesHelperTwoSpanInSpanOut<T>(scoped in ReadOnlyTensorSpan<T> left, scoped in ReadOnlyTensorSpan<T> right, in TensorSpan<T> destination, PerformCalculationTwoSpanInSpanOut<T> performCalculation)
{
nint[] newSize = Tensor.GetSmallestBroadcastableLengths(left.Lengths, right.Lengths);
TensorSpan<T> slicedDestination = destination.Slice(newSize);
// If sizes are the same and memory is contiguous for all tensors
if (TensorHelpers.AreLengthsTheSame(left, right) && TensorHelpers.IsUnderlyingStorageSameSize(left, right) && TensorHelpers.IsContiguousAndDense(left)
&& TensorHelpers.IsContiguousAndDense(right) && TensorHelpers.IsContiguousAndDense<T>(slicedDestination))
{
ReadOnlySpan<T> span = MemoryMarshal.CreateSpan(ref left._reference, left._shape._memoryLength <= left.FlattenedLength ? (int)left._shape._memoryLength : (int)left.FlattenedLength);
ReadOnlySpan<T> rspan = MemoryMarshal.CreateSpan(ref right._reference, right._shape._memoryLength <= right.FlattenedLength ? (int)right._shape._memoryLength : (int)right.FlattenedLength);
Span<T> ospan = MemoryMarshal.CreateSpan(ref slicedDestination._reference, (int)slicedDestination._shape._memoryLength);
performCalculation(span, rspan, ospan);
return ref destination;
}
// Broadcasting needs to happen.
else
{
// Have a couple different possible cases here.
// 1 - Both tensors have row contiguous memory (i.e. a 1x5 being broadcast to a 5x5)
// 2 - One tensor has row contiguous memory and the right has column contiguous memory (i.e. a 1x5 and a 5x1)
ReadOnlyTensorSpan<T> broadcastedLeft = Tensor.LazyBroadcast(left, newSize);
ReadOnlyTensorSpan<T> broadcastedRight = Tensor.LazyBroadcast(right, newSize);
nint rowLength = newSize[^1];
Span<T> ospan;
ReadOnlySpan<T> ispan;
Span<T> buffer = new T[rowLength];
scoped Span<nint> curIndex;
nint[]? curIndexArray;
if (newSize.Length > TensorShape.MaxInlineRank)
{
curIndexArray = ArrayPool<nint>.Shared.Rent(newSize.Length);
curIndex = curIndexArray.AsSpan(0, newSize.Length);
}
else
{
curIndexArray = null;
curIndex = stackalloc nint[newSize.Length];
}
curIndex.Clear();
int outputOffset = 0;
// neither row contiguous
if (broadcastedLeft.Strides[^1] == 0 && broadcastedRight.Strides[^1] == 0)
{
Span<T> buffer2 = new T[rowLength];
while (outputOffset < slicedDestination.FlattenedLength)
{
ospan = MemoryMarshal.CreateSpan(ref Unsafe.Add(ref slicedDestination._reference, TensorSpanHelpers.ComputeLinearIndex(curIndex, slicedDestination.Strides, slicedDestination.Lengths)), (int)rowLength);
buffer.Fill(broadcastedLeft[curIndex]);
buffer2.Fill(broadcastedRight[curIndex]);
performCalculation(buffer, buffer2, ospan);
outputOffset += (int)rowLength;
TensorSpanHelpers.AdjustIndexes(broadcastedLeft.Rank - 2, 1, curIndex, broadcastedLeft.Lengths);
}
}
// tensor not row contiguous
else if (broadcastedLeft.Strides[^1] == 0)
{
while (outputOffset < slicedDestination.FlattenedLength)
{
ospan = MemoryMarshal.CreateSpan(ref Unsafe.Add(ref slicedDestination._reference, TensorSpanHelpers.ComputeLinearIndex(curIndex, slicedDestination.Strides, slicedDestination.Lengths)), (int)rowLength);
buffer.Fill(broadcastedLeft[curIndex]);
ispan = MemoryMarshal.CreateSpan(ref Unsafe.Add(ref broadcastedRight._reference, TensorSpanHelpers.ComputeLinearIndex(curIndex, broadcastedRight.Strides, broadcastedRight.Lengths)), (int)rowLength);
performCalculation(buffer, ispan, ospan);
outputOffset += (int)rowLength;
TensorSpanHelpers.AdjustIndexes(broadcastedLeft.Rank - 2, 1, curIndex, broadcastedLeft.Lengths);
}
}
// right not row contiguous
else if (broadcastedRight.Strides[^1] == 0)
{
while (outputOffset < slicedDestination.FlattenedLength)
{
ospan = MemoryMarshal.CreateSpan(ref Unsafe.Add(ref slicedDestination._reference, TensorSpanHelpers.ComputeLinearIndex(curIndex, slicedDestination.Strides, slicedDestination.Lengths)), (int)rowLength);
buffer.Fill(broadcastedRight[curIndex]);
ispan = MemoryMarshal.CreateSpan(ref Unsafe.Add(ref broadcastedLeft._reference, TensorSpanHelpers.ComputeLinearIndex(curIndex, broadcastedLeft.Strides, broadcastedLeft.Lengths)), (int)rowLength);
performCalculation(ispan, buffer, ospan);
outputOffset += (int)rowLength;
TensorSpanHelpers.AdjustIndexes(broadcastedLeft.Rank - 2, 1, curIndex, broadcastedLeft.Lengths);
}
}
// both row contiguous
else
{
Span<T> rspan;
while (outputOffset < slicedDestination.FlattenedLength)
{
ospan = MemoryMarshal.CreateSpan(ref Unsafe.Add(ref slicedDestination._reference, TensorSpanHelpers.ComputeLinearIndex(curIndex, slicedDestination.Strides, slicedDestination.Lengths)), (int)rowLength);
ispan = MemoryMarshal.CreateSpan(ref Unsafe.Add(ref broadcastedLeft._reference, TensorSpanHelpers.ComputeLinearIndex(curIndex, broadcastedLeft.Strides, broadcastedLeft.Lengths)), (int)rowLength);
rspan = MemoryMarshal.CreateSpan(ref Unsafe.Add(ref broadcastedRight._reference, TensorSpanHelpers.ComputeLinearIndex(curIndex, broadcastedRight.Strides, broadcastedRight.Lengths)), (int)rowLength);
performCalculation(ispan, rspan, ospan);
outputOffset += (int)rowLength;
TensorSpanHelpers.AdjustIndexes(broadcastedLeft.Rank - 2, 1, curIndex, broadcastedLeft.Lengths);
}
}
if (curIndexArray != null)
ArrayPool<nint>.Shared.Return(curIndexArray);
}
return ref destination;
}
#endregion
#endregion
}
}
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