C#复数类（实现各类运算符的重载）

1.类的实现

/// 

/// 复数类
/// 
class ComplexNumber
{
    //实部
    double _RealPart;
    public double RealPart
    {
        get { return _RealPart; }
        set { _RealPart = value; }
    }

    //虚部
    double _ImaginaryPart;
    public double ImaginaryPart
    {
        get { return _ImaginaryPart; }
        set { _ImaginaryPart = value; }
    }

    /// 

    /// 创建一个复数类实例
    /// 
    /// 实部
    /// 虚部
    public ComplexNumber(double rp, double ip)
    {
        RealPart = rp;
        ImaginaryPart = ip;
    }

    /// 

    /// 返回一个复数的共轭复数
    /// 
    /// 
    /// 
    public static ComplexNumber ConjugateOf(ComplexNumber cn)
    {
        return new ComplexNumber(cn.RealPart, -cn.ImaginaryPart);
    }

    /// 

    /// 以字符串形式输出复数
    /// 
    /// 
    public override string ToString()
    {
        //输出：实部 +/- 虚部 i 虚部前的加减号取决于虚部的正负
        return string.Format(" {0} {1} {2} i ",
            RealPart.ToString("#0.00"),
            ImaginaryPart >= 0 ? "+" : "-",
            Math.Abs(ImaginaryPart).ToString("#0.00"));
    }

    #region 重载一元运算符

    //取正、取负
    public static ComplexNumber operator +(ComplexNumber cn)
    { return cn; }
    public static ComplexNumber operator -(ComplexNumber cn)
    { return new ComplexNumber(-cn.RealPart, -cn.ImaginaryPart); }

    #endregion
    #region 重载二元运算符

    //加法 (a+bi)+(c+di)=(a+c)+(b+d)i
    public static ComplexNumber operator +(double num, ComplexNumber cn)
    { return new ComplexNumber(cn.RealPart + num, cn.ImaginaryPart); }
    public static ComplexNumber operator +(ComplexNumber cn, double num)
    { return new ComplexNumber(cn.RealPart + num, cn.ImaginaryPart); }
    public static ComplexNumber operator +(ComplexNumber cn1, ComplexNumber cn2)
    {
        return new ComplexNumber(
            cn1.RealPart + cn2.RealPart,
            cn1.ImaginaryPart + cn2.ImaginaryPart);
    }

    //减法 (a-bi)+(c-di)=(a-c)+(b-d)i
    public static ComplexNumber operator -(double num, ComplexNumber cn)
    { return new ComplexNumber(cn.RealPart - num, cn.ImaginaryPart); }
    public static ComplexNumber operator -(ComplexNumber cn, double num)
    { return new ComplexNumber(cn.RealPart - num, cn.ImaginaryPart); }
    public static ComplexNumber operator -(ComplexNumber cn1, ComplexNumber cn2)
    {
        return new ComplexNumber(
            cn1.RealPart - cn2.RealPart,
            cn1.ImaginaryPart - cn2.ImaginaryPart);
    }

    //乘法 (a+bi)*(c+di)=(ac-bd)+(ad+bc)i
    public static ComplexNumber operator *(double num, ComplexNumber cn)
    { return new ComplexNumber(cn.RealPart * num, cn.ImaginaryPart * num); }
    public static ComplexNumber operator *(ComplexNumber cn, double num)
    { return new ComplexNumber(cn.RealPart * num, cn.ImaginaryPart * num); }
    public static ComplexNumber operator *(ComplexNumber cn1, ComplexNumber cn2)
    {
        return new ComplexNumber(
            cn1.RealPart * cn2.RealPart - cn1.ImaginaryPart * cn2.ImaginaryPart,
            cn1.RealPart * cn2.ImaginaryPart + cn1.ImaginaryPart * cn2.RealPart);
    }

    //除法：
    //实数除以复数：n/(c+di)=n*(c-di)/(c*c+d*d)
    public static ComplexNumber operator /(double num, ComplexNumber cn)
    {
        return num * new ComplexNumber(cn.RealPart, -cn.ImaginaryPart) /
            (cn.RealPart * cn.RealPart + cn.ImaginaryPart * cn.ImaginaryPart);
    }
    //复数除以实数：(a+bi)/n=a/n+b/n*i
    public static ComplexNumber operator /(ComplexNumber cn, double num)
    {
        return new ComplexNumber(cn.RealPart / num, cn.ImaginaryPart / num); 
    }
    //复数除以复数：(a+bi)/(c+di)=((ac+bd)+(ad+bc)i)/(c*c+d*d)
    public static ComplexNumber operator /(ComplexNumber cn1, ComplexNumber cn2)
    {
        double a = cn1.RealPart, b = cn1.ImaginaryPart;
        double c = cn2.RealPart, d = cn2.ImaginaryPart;
        return new ComplexNumber(a * c + b * d, a * d + b * c) / (c * c + d * d);
    }

    #endregion
    #region 重载关系运算符

    //等于
    public static bool operator ==(ComplexNumber cn1, ComplexNumber cn2)
    {
        return cn1.RealPart == cn2.RealPart && 
            cn1.ImaginaryPart == cn2.ImaginaryPart 
            ? true : false;
    }
    public static bool operator ==(ComplexNumber cn, double n)
    { return cn.RealPart == n && cn.ImaginaryPart == 0 ? true : false; }
    public static bool operator ==(double n, ComplexNumber cn)
    { return cn.RealPart == n && cn.ImaginaryPart == 0 ? true : false; }

    //不等于
    public static bool operator !=(ComplexNumber cn1, ComplexNumber cn2)
    {
        return cn1.RealPart != cn2.RealPart ||
            cn1.ImaginaryPart != cn2.ImaginaryPart
            ? true : false;
    }
    public static bool operator !=(ComplexNumber cn, double n)
    { return cn.RealPart != n || cn.ImaginaryPart != 0 ? true : false; }
    public static bool operator !=(double n, ComplexNumber cn)
    { return cn.RealPart != n || cn.ImaginaryPart != 0 ? true : false; }

    //重载==和!=运算符后应该重写Equal是和GetHashCode函数
    //重写Equals函数
    public override bool Equals(object obj)
    {
        if (!(obj is ComplexNumber)) return false;
        else
        {
            ComplexNumber cn = (ComplexNumber)obj;
            if (this.RealPart != cn.RealPart) return false;
            if (this.ImaginaryPart != cn.ImaginaryPart) return false;
            return true;
        }
    }
    //重写GetHashCode函数
    public override int GetHashCode()
    { return base.GetHashCode(); }

    #endregion
    #region 重载true和false

    //实部和虚部至少有一个不为0时，为true，否则为false
    public static bool operator true(ComplexNumber cn)
    { return cn.RealPart != 0 || cn.ImaginaryPart != 0 ? true : false; }
    public static bool operator false(ComplexNumber cn)
    { return cn.RealPart == 0 && cn.ImaginaryPart == 0 ? true : false; }

    #endregion
    #region 转换运算符

    //只能显示转换，强制转换时舍弃虚部
    public static explicit operator int(ComplexNumber cn) { return (int)cn.RealPart; }
    public static explicit operator long(ComplexNumber cn) { return (long)cn.RealPart; }
    public static explicit operator double(ComplexNumber cn) { return cn.RealPart; }

    #endregion
}

2.Main函数调用

static void Main(string[] args)
{
    ComplexNumber cn = new ComplexNumber(1, 1);

    //两个复数
    ComplexNumber cn1 = new ComplexNumber(1, 1);
    ComplexNumber cn2 = new ComplexNumber(1, -1);

    //打印复数
    Console.WriteLine("cn1: " + cn1);
    Console.WriteLine("cn2: " + cn2);

    //求复数的共轭复数
    Console.WriteLine("Conjugate of cn1: " + ComplexNumber.ConjugateOf(cn1));
    Console.WriteLine("Conjugate of cn2: " + ComplexNumber.ConjugateOf(cn2));

    //复数取正负
    Console.WriteLine("+cn1: " + (+cn1));
    Console.WriteLine("-cn1: " + (-cn1));

    //复数加法
    Console.WriteLine("cn1+cn2: " + (cn1 + cn2));
    Console.WriteLine("cn1+1.2: " + (cn1 + 1.2));
    Console.WriteLine("1.2+cn1: " + (1.2 + cn1));

    //复数减法
    Console.WriteLine("cn1-cn2: " + (cn1 - cn2));
    Console.WriteLine("cn1-1.2: " + (cn1 - 1.2));
    Console.WriteLine("1.2-cn1: " + (1.2 - cn1));

    //复数乘法
    Console.WriteLine("cn1*cn2: " + (cn1 * cn2));
    Console.WriteLine("cn1*1.2: " + (cn1 * 1.2));
    Console.WriteLine("1.2*cn1: " + (1.2 * cn1));

    //复数除法
    Console.WriteLine("cn1/cn2: " + (cn1 / cn2));
    Console.WriteLine("cn1/1.2: " + (cn1 / 1.2));
    Console.WriteLine("1.2/cn1: " + (1.2 / cn1));

    //检验是否相等
    if (cn1 == cn2) { Console.WriteLine("cn1==cn2"); }
    if (cn1 != cn2) { Console.WriteLine("cn1!=cn2"); }
    if (cn1 + cn2 == 2) { Console.WriteLine("cn1+cn2==2"); }
    if (cn1 + cn2 != 2) { Console.WriteLine("cn1+cn2!=2"); }

    //显式类型转换
    Console.WriteLine("(int)(cn1+cn2): " + (int)(cn1 + cn2));
    Console.WriteLine("(long)(cn1+cn2): " + (long)(cn1 + cn2));
    Console.WriteLine("(double)(cn1+cn2): " + (double)(cn1 + cn2));

    Console.ReadLine();
}

3.运行示例

转载于:https://my.oschina.net/Tsybius2014/blog/227477