因為向量和矩陣的計算工作量比較大，為了更好的書寫代碼，這裡增加了幾個定義類，這些定義或者擴展方法將在以後的代碼中應用到：
1、公共枚舉類型
/*
文件:PublicEnums.cs
* 目的：定義公共枚舉類型.
*/
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace MyMathLib
{
///
/// 初等變換類型(課本上是加，這裡是減，僅僅是個系數符號的區別.
///
public enum BasicTransMethod
{
///
/// 交換i< == >j
///
Swap,
///
/// 乘以非零數:i=i*M
///
Multipler,
///
/// 第i行減去第j行乘以一個系數:i=i-j*M
///
CoPlus1,
///
/// 第i行乘以系數減去第j行乘以一個系數:i=i*M1 - j*M2
///
CoPlus2
}
///
/// 行變換還是列變換.
///
public enum TransRowOrCol
{
///
/// 行
///
Row,
///
/// 列
///
Col
}
public static class ConstDef
{
public const int Decimals = 15;
}
public enum SolutionType
{
///
/// 無解
///
None,
///
/// 只有零解
///
OnlyZero,
//僅有一個非零解
OnlyOne,
///
/// 有很多解.
///
Many
}
}
2、方程求解結果
/*
* SolutionOfEquation.cs
* Added by Hawksoft.
*/
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace MyMathLib
{
///
/// 方程解結果,用於方程組求解後的結果存放.
///
public class SolutionOfEquation
{
///
/// 解類型
///
public SolutionType SolutionType{ get; set; }
///
/// 解向量
///
public List SolutionVectors { get; set; }
///
/// 基本未知量
///
public List PrimaryUnknownVariations { get; set; }
///
/// 自由未知量.
///
public List FreeUnknownVariations { get; set; }
public SolutionOfEquation()
{
SolutionVectors = new List();
PrimaryUnknownVariations = new List();
FreeUnknownVariations = new List();
}
}
} 3、初等變換記錄項
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace MyMathLib
{
///
/// 初等變換記錄項,用於矩陣初等變換的過程演示和矩陣求逆.
///
public class TransformItem
{
public BasicTransMethod TransMethod { get; set; }
public int i { get; set; }
public int j { get; set; }
public double M1 { get; set; }
public double M2 { get; set; }
public TransRowOrCol RowOrCol { get; set; }
public static TransformItem CreateEleTransRow1(int i, int j)
{
return new TransformItem()
{
i = i,
j = j,
M1 = 1,
TransMethod = BasicTransMethod.Swap,
RowOrCol = TransRowOrCol.Row
};
}
public static TransformItem CreateEleTransRow2(int i,double Multipler)
{
return new TransformItem()
{
i = i,
j = i,
M1 = Multipler,
M2 = Multipler,
TransMethod = BasicTransMethod.Multipler,
RowOrCol = TransRowOrCol.Row
};
}
public static TransformItem CreateEleTransRow3(int i, int j,double Multipler)
{
return new TransformItem()
{
i = i,
j = j,
M1 = Multipler,
M2 = Multipler,
TransMethod = BasicTransMethod.CoPlus1,
RowOrCol = TransRowOrCol.Row
};
}
public static TransformItem CreateEleTransRow4(int i, int j, double M1,double M2)
{
return new TransformItem()
{
i = i,
j = j,
M1 = M1,
M2 = M2,
TransMethod = BasicTransMethod.CoPlus2,
RowOrCol = TransRowOrCol.Row
};
}
public static TransformItem CreateEleTransCol1(int i, int j)
{
return new TransformItem()
{
i = i,
j = j,
M1 = 1,
M2 = 1,
TransMethod = BasicTransMethod.Swap,
RowOrCol = TransRowOrCol.Row
};
}
public static TransformItem CreateEleTransCol2(int i, double Multipler)
{
return new TransformItem()
{
i = i,
j = i,
M1 = Multipler,
M2 = Multipler,
TransMethod = BasicTransMethod.Multipler,
RowOrCol = TransRowOrCol.Row
};
}
public static TransformItem CreateEleTransCol3(int i, int j, double Multipler)
{
return new TransformItem()
{
i = i,
j = j,
M1 = 1,
M2 = Multipler,
TransMethod = BasicTransMethod.CoPlus1,
RowOrCol = TransRowOrCol.Row
};
}
public static TransformItem CreateEleTransCol4(int i, int j, double M1,double M2)
{
return new TransformItem()
{
i = i,
j = j,
M1 = M1,
M2 = M2,
TransMethod = BasicTransMethod.CoPlus2,
RowOrCol = TransRowOrCol.Row
};
}
}另外說明一下：原來一直用decimal來計算，但在矩陣計算測試中發現，decimal很容易爆倉，所以改用double類型，其實decimal的位數比double多很多，但由於其特殊性，其表達的范圍要比double小，所以後面改成了double.
