Module_SignalProcessing_Transforms

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Signal Processing Module

Transforms

The Vorcyc.Mathematics.SignalProcessing.Transforms namespace contains Dct1, Dct2, Dct3, Dct4, FastDct2, FastDct3, FastDct4, FastMdct, and Mdct for discrete cosine transform (DCT) types I–IV and modified DCT (MDCT), including FFT-based fast implementations. Each class provides direct, normalized, inverse, and normalized inverse transforms.

All types below are in namespace:Vorcyc.Mathematics.SignalProcessing.Transforms

📒 Contents

🔖 Vorcyc.Mathematics.SignalProcessing.Transforms.Dct1 class
🔖 Vorcyc.Mathematics.SignalProcessing.Transforms.Dct2 class
🔖 Vorcyc.Mathematics.SignalProcessing.Transforms.Dct3 class
🔖 Vorcyc.Mathematics.SignalProcessing.Transforms.Dct4 class
🔖 Vorcyc.Mathematics.SignalProcessing.Transforms.FastDct2 class
🔖 Vorcyc.Mathematics.SignalProcessing.Transforms.FastDct3 class
🔖 Vorcyc.Mathematics.SignalProcessing.Transforms.FastDct4 class
🔖 Vorcyc.Mathematics.SignalProcessing.Transforms.FastMdct class
🔖 Vorcyc.Mathematics.SignalProcessing.Transforms.Mdct class

All types below are in Vorcyc.Mathematics.SignalProcessing.Transforms namespace。

Vorcyc.Mathematics.SignalProcessing.Transforms.Dct1 class

Vorcyc.Mathematics.SignalProcessing.Transforms.Dct1 represents discrete cosine transform type I (DCT-I).

Properties

1. Size

public int Size { get; }
- Gets DCT-I size.

Methods

1. Dct1 constructor

public Dct1(int dctSize)
- Constructs Dct1 for given dctSize and precomputes DCT matrix.
- Parameters:
  - dctSize: DCT-I size.

2. Direct

public void Direct(float[] input, float[] output)
- Performs DCT-I.
- Parameters:
  - input: Input data.
  - output: Output data.

3. DirectNorm

public void DirectNorm(float[] input, float[] output)
- Performs normalized DCT-I.
- Parameters:
  - input: Input data.
  - output: Output data.

4. Inverse

public void Inverse(float[] input, float[] output)
- Performs inverse DCT-I.
- Parameters:
  - input: Input data.
  - output: Output data.

5. InverseNorm

public void InverseNorm(float[] input, float[] output)
- Performs normalized inverse DCT-I.
- Parameters:
  - input: Input data.
  - output: Output data.

Code example

The following example uses Dct1 with comments:

using System;
using Vorcyc.Mathematics.SignalProcessing.Transforms;

public class Dct1Example
{
    public static void Main()
    {
        // Define DCT size
        int dctSize = 8;

        // Create Dct1 instance
        var dct = new Dct1(dctSize);

        // Define input data
        float[] input = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
        float[] output = new float[dctSize];

        // Perform DCT-I
        dct.Direct(input, output);
        Console.WriteLine("DCT-I Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform normalized DCT-I
        dct.DirectNorm(input, output);
        Console.WriteLine("Normalized DCT-I Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform inverse DCT-I
        dct.Inverse(output, input);
        Console.WriteLine("Inverse DCT-I Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }

        // Perform normalized inverse DCT-I
        dct.InverseNorm(output, input);
        Console.WriteLine("Normalized Inverse DCT-I Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }
    }
}

Vorcyc.Mathematics.SignalProcessing.Transforms.Dct2 class

Vorcyc.Mathematics.SignalProcessing.Transforms.Dct2 represents DCT-II.

Properties

1. Size

public int Size { get; }
- Gets DCT-II size.

Methods

1. Dct2 constructor

public Dct2(int dctSize)
- Constructs Dct2 for given dctSize and precomputes DCT matrix.
- Parameters:
  - dctSize: DCT-II size.

2. Direct

public void Direct(float[] input, float[] output)
- Perform DCT-II。
- Parameters:
  - input: Input data.
  - output: Output data.

3. DirectNorm

public void DirectNorm(float[] input, float[] output)
- Perform normalized DCT-II。
- Parameters:
  - input: Input data.
  - output: Output data.

4. Inverse

public void Inverse(float[] input, float[] output)
- Perform inverse DCT-II。
- Parameters:
  - input: Input data.
  - output: Output data.

5. InverseNorm

public void InverseNorm(float[] input, float[] output)
- Perform normalized inverse DCT-II。
- Parameters:
  - input: Input data.
  - output: Output data.

Code example

The following example uses Dct2 with comments:

using System;
using Vorcyc.Mathematics.SignalProcessing.Transforms;

public class Dct2Example
{
    public static void Main()
    {
        // Define DCT size
        int dctSize = 8;

        // Create Dct2 instance
        var dct = new Dct2(dctSize);

        // Define input data
        float[] input = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
        float[] output = new float[dctSize];

        // Perform DCT-II
        dct.Direct(input, output);
        Console.WriteLine("DCT-II Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform normalized DCT-II
        dct.DirectNorm(input, output);
        Console.WriteLine("Normalized DCT-II Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform inverse DCT-II
        dct.Inverse(output, input);
        Console.WriteLine("Inverse DCT-II Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }

        // Perform normalized inverse DCT-II
        dct.InverseNorm(output, input);
        Console.WriteLine("Normalized Inverse DCT-II Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }
    }
}

Vorcyc.Mathematics.SignalProcessing.Transforms.Dct3 class

Vorcyc.Mathematics.SignalProcessing.Transforms.Dct3 represents DCT-III.

Properties

1. Size

public int Size { get; }
- Gets DCT-III size.

Methods

1. Dct3 constructor

public Dct3(int dctSize)
- Constructs Dct3 for given dctSize and precomputes DCT matrix.
- Parameters:
  - dctSize: DCT-III size.

2. Direct

public void Direct(float[] input, float[] output)
- Perform DCT-III。
- Parameters:
  - input: Input data.
  - output: Output data.

3. DirectNorm

public void DirectNorm(float[] input, float[] output)
- Perform normalized DCT-III。
- Parameters:
  - input: Input data.
  - output: Output data.

4. Inverse

public void Inverse(float[] input, float[] output)
- Perform inverse DCT-III。
- Parameters:
  - input: Input data.
  - output: Output data.

5. InverseNorm

public void InverseNorm(float[] input, float[] output)
- Perform normalized inverse DCT-III。
- Parameters:
  - input: Input data.
  - output: Output data.

Code example

The following example uses Dct3 with comments:

using System;
using Vorcyc.Mathematics.SignalProcessing.Transforms;

public class Dct3Example
{
    public static void Main()
    {
        // Define DCT size
        int dctSize = 8;

        // Create Dct3 instance
        var dct = new Dct3(dctSize);

        // Define input data
        float[] input = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
        float[] output = new float[dctSize];

        // Perform DCT-III
        dct.Direct(input, output);
        Console.WriteLine("DCT-III Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform normalized DCT-III
        dct.DirectNorm(input, output);
        Console.WriteLine("Normalized DCT-III Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform inverse DCT-III
        dct.Inverse(output, input);
        Console.WriteLine("Inverse DCT-III Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }

        // Perform normalized inverse DCT-III
        dct.InverseNorm(output, input);
        Console.WriteLine("Normalized Inverse DCT-III Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }
    }
}

Vorcyc.Mathematics.SignalProcessing.Transforms.Dct4 class

Vorcyc.Mathematics.SignalProcessing.Transforms.Dct4 represents DCT-IV.

Properties

1. Size

public int Size { get; }
- Gets DCT-IV size.

Methods

1. Dct4 constructor

public Dct4(int dctSize)
- Constructs Dct4 for given dctSize and precomputes DCT matrix.
- Parameters:
  - dctSize: DCT-IV size.

2. Direct

public void Direct(float[] input, float[] output)
- Perform DCT-IV。
- Parameters:
  - input: Input data.
  - output: Output data.

3. DirectNorm

public void DirectNorm(float[] input, float[] output)
- Perform normalized DCT-IV。
- Parameters:
  - input: Input data.
  - output: Output data.

4. Inverse

public void Inverse(float[] input, float[] output)
- Perform inverse DCT-IV。
- Parameters:
  - input: Input data.
  - output: Output data.

5. InverseNorm

public void InverseNorm(float[] input, float[] output)
- Perform normalized inverse DCT-IV。
- Parameters:
  - input: Input data.
  - output: Output data.

Code example

The following example uses Dct4 with comments:

using System;
using Vorcyc.Mathematics.SignalProcessing.Transforms;

public class Dct4Example
{
    public static void Main()
    {
        // Define DCT size
        int dctSize = 8;

        // Create Dct4 instance
        var dct = new Dct4(dctSize);

        // Define input data
        float[] input = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
        float[] output = new float[dctSize];

        // Perform DCT-IV
        dct.Direct(input, output);
        Console.WriteLine("DCT-IV Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform normalized DCT-IV
        dct.DirectNorm(input, output);
        Console.WriteLine("Normalized DCT-IV Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform inverse DCT-IV
        dct.Inverse(output, input);
        Console.WriteLine("Inverse DCT-IV Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }

        // Perform normalized inverse DCT-IV
        dct.InverseNorm(output, input);
        Console.WriteLine("Normalized Inverse DCT-IV Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }
    }
}

Vorcyc.Mathematics.SignalProcessing.Transforms.FastDct2 class

Vorcyc.Mathematics.SignalProcessing.Transforms.FastDct2 represents DCT-II.FFT-based DCT-II; faster for large DCT sizes.

Properties

1. Size

public int Size { get; }
- Gets DCT-II size.

Methods

1. FastDct2 constructor

public FastDct2(int dctSize)
- Constructs FastDct2 for given dctSize.
- Parameters:
  - dctSize: DCT-II size.

2. Direct

public void Direct(float[] input, float[] output)
- Perform DCT-II。
- Parameters:
  - input: Input data.
  - output: Output data.

3. DirectNorm

public void DirectNorm(float[] input, float[] output)
- Perform normalized DCT-II。
- Parameters:
  - input: Input data.
  - output: Output data.

4. Inverse

public void Inverse(float[] input, float[] output)
- Perform inverse DCT-II。
- Parameters:
  - input: Input data.
  - output: Output data.

5. InverseNorm

public void InverseNorm(float[] input, float[] output)
- Perform normalized inverse DCT-II。
- Parameters:
  - input: Input data.
  - output: Output data.

Code example

The following example uses FastDct2 with comments:

using System;
using Vorcyc.Mathematics.SignalProcessing.Transforms;

public class FastDct2Example
{
    public static void Main()
    {
        // Define DCT size
        int dctSize = 8;

        // Create FastDct2 instance
        var dct = new FastDct2(dctSize);

        // Define input data
        float[] input = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
        float[] output = new float[dctSize];

        // Perform DCT-II
        dct.Direct(input, output);
        Console.WriteLine("DCT-II Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform normalized DCT-II
        dct.DirectNorm(input, output);
        Console.WriteLine("Normalized DCT-II Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform inverse DCT-II
        dct.Inverse(output, input);
        Console.WriteLine("Inverse DCT-II Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }

        // Perform normalized inverse DCT-II
        dct.InverseNorm(output, input);
        Console.WriteLine("Normalized Inverse DCT-II Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }
    }
}

Vorcyc.Mathematics.SignalProcessing.Transforms.FastDct3 class

Vorcyc.Mathematics.SignalProcessing.Transforms.FastDct3 represents DCT-III.FFT-based DCT-III; faster for large sizes.

Properties

1. Size

public int Size { get; }
- Gets DCT-III size.

Methods

1. FastDct3 constructor

public FastDct3(int dctSize)
- Constructs FastDct3 for given dctSize.
- Parameters:
  - dctSize: DCT-III size.

2. Direct

public void Direct(float[] input, float[] output)
- Perform DCT-III。
- Parameters:
  - input: Input data.
  - output: Output data.

3. DirectNorm

public void DirectNorm(float[] input, float[] output)
- Perform normalized DCT-III。
- Parameters:
  - input: Input data.
  - output: Output data.

4. Inverse

public void Inverse(float[] input, float[] output)
- Perform inverse DCT-III。
- Parameters:
  - input: Input data.
  - output: Output data.

5. InverseNorm

public void InverseNorm(float[] input, float[] output)
- Perform normalized inverse DCT-III。
- Parameters:
  - input: Input data.
  - output: Output data.

Code example

The following example uses FastDct3 with comments:

using System;
using Vorcyc.Mathematics.SignalProcessing.Transforms;

public class FastDct3Example
{
    public static void Main()
    {
        // Define DCT size
        int dctSize = 8;

        // Create FastDct3 instance
        var dct = new FastDct3(dctSize);

        // Define input data
        float[] input = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
        float[] output = new float[dctSize];

        // Perform DCT-III
        dct.Direct(input, output);
        Console.WriteLine("DCT-III Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform normalized DCT-III
        dct.DirectNorm(input, output);
        Console.WriteLine("Normalized DCT-III Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform inverse DCT-III
        dct.Inverse(output, input);
        Console.WriteLine("Inverse DCT-III Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }

        // Perform normalized inverse DCT-III
        dct.InverseNorm(output, input);
        Console.WriteLine("Normalized Inverse DCT-III Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }
    }
}

Vorcyc.Mathematics.SignalProcessing.Transforms.FastDct4 class

Vorcyc.Mathematics.SignalProcessing.Transforms.FastDct4 represents DCT-IV.FFT-based DCT-IV; faster for large sizes.

Properties

1. Size

public int Size { get; }
- Gets DCT-IV size.

Methods

1. FastDct4 constructor

public FastDct4(int dctSize)
- Constructs FastDct4 for given dctSize.
- Parameters:
  - dctSize: DCT-IV size.

2. Direct

public void Direct(float[] input, float[] output)
- Perform DCT-IV。
- Parameters:
  - input: Input data.
  - output: Output data.

3. DirectNorm

public void DirectNorm(float[] input, float[] output)
- Perform normalized DCT-IV。
- Parameters:
  - input: Input data.
  - output: Output data.

4. Inverse

public void Inverse(float[] input, float[] output)
- Perform inverse DCT-IV。
- Parameters:
  - input: Input data.
  - output: Output data.

5. InverseNorm

public void InverseNorm(float[] input, float[] output)
- Perform normalized inverse DCT-IV。
- Parameters:
  - input: Input data.
  - output: Output data.

Code example

The following example uses FastDct4 with comments:

using System;
using Vorcyc.Mathematics.SignalProcessing.Transforms;

public class FastDct4Example
{
    public static void Main()
    {
        // Define DCT size
        int dctSize = 8;

        // Create FastDct4 instance
        var dct = new FastDct4(dctSize);

        // Define input data
        float[] input = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
        float[] output = new float[dctSize];

        // Perform DCT-IV
        dct.Direct(input, output);
        Console.WriteLine("DCT-IV Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform normalized DCT-IV
        dct.DirectNorm(input, output);
        Console.WriteLine("Normalized DCT-IV Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform inverse DCT-IV
        dct.Inverse(output, input);
        Console.WriteLine("Inverse DCT-IV Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }

        // Perform normalized inverse DCT-IV
        dct.InverseNorm(output, input);
        Console.WriteLine("Normalized Inverse DCT-IV Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }
    }
}

Vorcyc.Mathematics.SignalProcessing.Transforms.FastMdct class

Vorcyc.Mathematics.SignalProcessing.Transforms.FastMdct represents modified discrete cosine transform (MDCT).FFT-based MDCT; faster for large sizes.

Methods

1. FastMdct constructor

public FastMdct(int dctSize)
- Constructs FastMdct for given dctSize.
- Parameters:
  - dctSize: MDCT size.

Code example

The following example uses FastMdct with comments:

using System;
using Vorcyc.Mathematics.SignalProcessing.Transforms;

public class FastMdctExample
{
    public static void Main()
    {
        // Define MDCT size
        int dctSize = 8;

        // Create FastMdct instance
        var mdct = new FastMdct(dctSize);

        // Define input data
        float[] input = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
        float[] output = new float[dctSize];

        // Perform MDCT
        mdct.Direct(input, output);
        Console.WriteLine("MDCT Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform inverse MDCT
        mdct.Inverse(output, input);
        Console.WriteLine("Inverse MDCT Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }
    }
}

Vorcyc.Mathematics.SignalProcessing.Transforms.Mdct class

Vorcyc.Mathematics.SignalProcessing.Transforms.Mdct represents modified discrete cosine transform (MDCT).

Properties

1. Size

public int Size { get; }
- Gets MDCT size.

Methods

1. Mdct constructor

public Mdct(int dctSize, IDct dct = null)
- Constructs Mdct for given dctSize.
- Parameters:
  - dctSize: MDCT size.
  - dct: Internal DCT transformer (default Dct4).

2. Direct

public void Direct(float[] input, float[] output)
- Performs MDCT. input length must be 2 * Mdct.Size; output length must be Mdct.Size.
- Parameters:
  - input: Input data.
  - output: Output data.

3. DirectNorm

public void DirectNorm(float[] input, float[] output)
- Performs normalized MDCT. Same length constraints.
- Parameters:
  - input: Input data.
  - output: Output data.

4. Inverse

public void Inverse(float[] input, float[] output)
- Performs inverse MDCT. input length must be Mdct.Size; output length must be 2 * Mdct.Size.
- Parameters:
  - input: Input data.
  - output: Output data.

5. InverseNorm

public void InverseNorm(float[] input, float[] output)
- Performs normalized inverse MDCT. Same length constraints.
- Parameters:
  - input: Input data.
  - output: Output data.

Code example

The following example uses Mdct with comments:

using System;
using Vorcyc.Mathematics.SignalProcessing.Transforms;
public class MdctExample
{
    public static void Main()
    {
        // Define MDCT size
        int dctSize = 8;

        // Create Mdct instance
        var mdct = new Mdct(dctSize);

        // Define input data
        float[] input = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f, 9.0f, 10.0f, 11.0f, 12.0f, 13.0f, 14.0f, 15.0f, 16.0f };
        float[] output = new float[dctSize];

        // Perform MDCT
        mdct.Direct(input, output);
        Console.WriteLine("MDCT Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform normalized MDCT
        mdct.DirectNorm(input, output);
        Console.WriteLine("Normalized MDCT Output:");

        foreach (var value in output)
        {
            Console.WriteLine(value);
        }

        // Perform inverse MDCT
        mdct.Inverse(output, input);
        Console.WriteLine("Inverse MDCT Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }

        // Perform normalized inverse MDCT
        mdct.InverseNorm(output, input);
        Console.WriteLine("Normalized Inverse MDCT Output:");

        foreach (var value in input)
        {
            Console.WriteLine(value);
        }
    }
}

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- 🔖 Other
📒 Numerics module
- 🔖 BigFloat struct
- 🔖 Complex<T> struct
- 🔖 ComplexFp32 struct
- 🔖 Int24 struct
- 🔖 IntRange struct
- 🔖 Number class
- 🔖 Point<T> struct
- 🔖 PointFp32 struct
- 🔖 Range<T> class
- 🔖 Rational<T> struct
- 🔖 RectangleFP32 struct
- 🔖 Size<T> struct
- 🔖 SizeFp32 struct
- 🔖 UInt24 struct
📒 Statistics module
- 🔖 Basic statistics functions
- 🔖 Advanced statistics functions
- 🔖 Robust / RunningMoments
- 🔖 Other statistics functions
- 🔖 Distribution functions
- 🔖 Time series analysis
- 🔖 IComparable extensions
- 🔖 ExtremeValueFinder
- 🔖 INumber extensions
📒Calculus module
- 🔖 Limits class
- 🔖 Integration class
- 🔖 Derivative class
- 🔖 TaylorSeries class
- 🔖 FourierSeries class
- 🔖 RungeKutta class
- 🔖 NewtonRaphson class
- 🔖 Performance tuning guide
📒 FFTW extension
- 🔖 Single-precision DFT
- 🔖 Dft1D — 1D transform
- 🔖 Dft2D — 2D transform
- 🔖 Dft3D — 3D transform
- 🔖 DftND — N-D transform
- 🔖 RealToRealTransforms
- 🔖 Double-precision DFT
- 🔖 HilbertTransform class
- 🔖 EnvelopeComputer class
- 🔖 SignalExtension class
📒 Examples
- 🔖 Directory structure conventions
- 🔖 Audio_example — NAudio audio pipeline
- 🔖 Core_example — core and ComputingContext
- 🔖 MachineLearning_example — tabular learning
- 🔖 Colorization_example — image colorization
- 🔖 Models and scenarios
- 🔖 Command-line usage
- 🔖 Relationship to the deep learning module

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📒 GPU 策略说明
- 🔖 为何放弃主包 GPU
- 🔖 当前性能路径
- 🔖 若仍需要更强算力
📒 计算上下文模块
- 🔖 ComputingContext / ComputingScope
- 🔖 已接入 API
- 🔖 验证与测试
- 🔖 FftVersion（已删除）
- 🔖 ComputingBackend / 优先级
📒 核心模块
- 🔖 ArrayExtension 类
- 🔖 BaseConverter 类
- 🔖 BitMathExtension 类
- 🔖 Combinatorics 类
- 🔖 ConstantsFp32 类
- 🔖 NumberMapper 类
- 🔖 PinnableArray<T> 类
- 🔖 SimpleRNG_Fp32 和 SimpleRNG_Fp64 类
- 🔖 TrigonometryHelper 类
- 🔖 VMath 类
- 🔖 固定缓冲区（Buffers）
- 🔖 IPinnedBuffer<T> 接口
- 🔖 POHBuffer<T> 类
- 🔖 NativeBuffer<T> 类
📒 深度学习模块
- 🔖 BatchTensor 与 Trainer
- 🔖 学习率调度器
- 🔖 ModelSerializer v3
- 🔖 音频集成
- 🔖 Layers.Layers 类（遗留）
📒 线性代数模块
- 🔖 BasisTransformation 类
- 🔖 LinearEquationSolver 类
- 🔖 Matrix 类
- 🔖 Matrix<T> 类
- 🔖 VMatrixHelper 类
- 🔖 MatrixOperations 类
- 🔖 Quaternion 结构
- 🔖 Tensor 类
- 🔖 Tensor<T> 类
- 🔖 VectorSpan 类
📒 机器学习模块
- 🔖 0.9 分类器完整示例
- 🔖 KNN<T> 类
- 🔖 MultipleLinearRegression<T> 类
- 🔖 SimpleLinearRegression<T> 类
- 🔖 SupportVectorMachine<TSelf> 类
- 🔖 DBSCAN<T> 类
- 🔖 ExpectationMaximization<T> 类
- 🔖 GMM<T> 类
- 🔖 HierarchicalClustering<T> 类
- 🔖 KMeansClusterer<T> 类
- 🔖 VectorQuantization<T> 类
- 🔖 FactorAnalysis<T> 类
- 🔖 PCA<TSelf> 类
- 🔖 TSNE<T> 类
- 🔖 距离度量类
📒 信号处理模块
- 🔖 音效处理
- 🔖 特征提取器
- 🔖 其他音频特征计算
- 🔖 滤波器
- 🔖 傅立叶变换
- 🔖 常用操作
- 🔖 时标变换（Tsm）
- 🔖 信号定义和相关操作
- 🔖 Generators（0.9+）
- 🔖 变换操作
- 🔖 窗函数
- 🔖 其它
📒 数值模块
- 🔖 BigFloat 结构体
- 🔖 Complex<T> 结构体
- 🔖 ComplexFp32 结构体
- 🔖 Int24 结构体
- 🔖 IntRange 结构体
- 🔖 Number 类
- 🔖 Point<T> 结构体
- 🔖 PointFp32 结构体
- 🔖 Range<T> 类
- 🔖 Rational<T> 结构体
- 🔖 RectangleFP32 结构体
- 🔖 Size<T> 结构体
- 🔖 SizeFp32 结构体
- 🔖 UInt24 结构体
📒 统计模块
- 🔖 基础统计函数
- 🔖 高级统计函数
- 🔖 稳健统计 / RunningMoments
- 🔖 其它统计函数
- 🔖 分布相关函数
- 🔖 时间序列分析
- 🔖 IComparable 扩展
- 🔖 ExtremeValueFinder
- 🔖 INumber 扩展
📒微积分模块
- 🔖 Limits 类
- 🔖 Integration 类
- 🔖 Derivative 类
- 🔖 TaylorSeries 类
- 🔖 FourierSeries 类
- 🔖 RungeKutta 类
- 🔖 NewtonRaphson 类
- 🔖 性能调优指南
📒 FFTW 扩展
- 🔖 单精度 DFT
- 🔖 Dft1D — 一维变换
- 🔖 Dft2D — 二维变换
- 🔖 Dft3D — 三维变换
- 🔖 DftND — N 维变换
- 🔖 RealToRealTransforms
- 🔖 双精度 DFT
- 🔖 HilbertTransform 类
- 🔖 EnvelopeComputer 类
- 🔖 SignalExtension 类
📒 示例
- 🔖 目录结构约定
- 🔖 Audio_example — NAudio 音频流水线
- 🔖 Core_example — 核心与 ComputingContext
- 🔖 MachineLearning_example — 表格学习
- 🔖 Colorization_example — 图像上色
- 🔖 模型与场景
- 🔖 命令行用法
- 🔖 与深度学习模块的关系