算法-->复数运算

不念不忘少年蓝@ 2022-06-11 06:51 230阅读 0赞

package 复数运算;
    
    /** * a,b分别是一个数的实部和虚部 b,c同上 * * @author 朱珍珍 * */
    public class FuShu { 
        // 加法
        static void Add(double a, double b, double c, double d, double e[], double f[]) {
            e[0] = a + c;
            f[0] = b + d;
        }
    
        // 减法
        static void minus(double a, double b, double c, double d, double e[], double f[]) {
            e[0] = a - c;
            f[0] = b - d;
        }
    
        // 乘法
        static void multip(double a, double b, double c, double d, double e[], double f[]) {
            e[0] = a * c + b * d;
            f[0] = a * d + b * c;
        }
    
        // 除法
        static void divide(double a, double b, double c, double d, double[] e, double[] f) {
            double sq;
            sq = c * c + d * d;
            e[0] = (a * c + b * d) / sq;
            f[0] = (b * c - a * d) / sq;
        }
    
        public static void main(String[] args) {
            double a, b, c, d;
            double[] e = { 0 }, f = { 0 };
            a = 4;
            b = 6;
            c = 2;
            d = -1;
            Add(a, b, c, d, e, f);// 加法
            System.out.printf("(%f+%fi)+(%f+%fi)=%f+%fi\n", a, b, c, d, e[0], f[0]);
            minus(a, b, c, d, e, f);
            System.out.printf("(%f+%fi)-(%f+%fi)=%f+%fi\n", a, b, c, d, e[0], f[0]);
            multip(a, b, c, d, e, f);
            System.out.printf("(%f+%fi)*(%f+%fi)=%f+%fi\n", a, b, c, d, e[0], f[0]);
            divide(a, b, c, d, e, f);
            System.out.printf("(%f+%fi)/(%f+%fi)=%f+%fi\n", a, b, c, d, e[0], f[0]);
        }
    }

![这里写图片描述][SouthEast]

package 复数运算;
    
    /** * 负指数运算 * * @author 朱珍珍 * */
    public class fuzhi { 
        static void Exp(double a, double b, double[] e, double[] f) {
            double temp;
            temp = Math.exp(a);// 返回欧拉数 e 的 double 次幂的值。
            e[0] = temp * Math.cos(b);
            f[0] = temp * Math.cos(b);
        }
    
        public static void main(String[] args) {
            double a, b;
            double[] e = { 0 }, f = { 0 };
            a = 3;
            b = 2;
            Exp(a, b, e, f);
            System.out.printf("e的(%f+%fi)次幂=%f+%fi\n", a, b, e[0], f[0]);
    
        }
    }

![这里写图片描述][SouthEast 1]

package 复数运算;
    
    /** * 复对数运算 * * @author 朱珍珍 * */
    public class duishu { 
        static void Log(double a, double b, double[] e, double[] f) {
            double temp;
            temp = Math.log(Math.sqrt(a * a + b * b));
            e[0] = temp;// 实部
            f[0] = Math.atan2(b, a);// 将矩形坐标 (x, y) 转换成极坐标 (r, theta)，返回所得角 theta。虚部
    
        }
    
        public static void main(String[] args) {
            double a, b;
            double[] e = { 0 };
            double[] f = { 0 };
            a = 2.0;
            b = 3.0;
            Log(a, b, e, f);
            System.out.printf("ln(%f+%fi)=%f+%fi\n", a, b, e[0], f[0]);
    
        }
    }

![这里写图片描述][SouthEast 2]

package 复数运算;
    
    public class mi {
        static void mul(double a, double b, double c, double d, double[] e, double[] f) {
            e[0] = a * c - b * d;
            f[0] = a * d + b * c;
    
        }
    
        // 幂运算
        static void powN(double a, double b, int n, double[] e, double[] f) {
            int i;
            a = 0.0;
            b = 0.0;
    
            e[0] = a;
            f[0] = b;
            if (n == 1) {
                return;
    
            } else {
                // 递推得到N次幂
                for (i = 1; i < n; i++) {
                    mul(e[0], f[0], a, b, e, f);
    
                }
            }
        }
    
        public static void main(String[] args) {
            double a, b;
            double[] e = { 0 }, f = { 0 };
            int n;
            a = 1;
            b = 1;
            n = 5;
            powN(a, b, n, e, f);
            System.out.printf("(%f+%fi)的%d次幂=%f+%fi\n", a, b, n, e[0], f[0]);
        }
    }

![这里写图片描述][SouthEast 3]

package 复数运算;
    
    /** * 复正玄和复余弦 * * @author 朱珍珍 * */
    public class zhengandyu { 
        static void cSin(double a, double b, double[] e, double[] f) {
            double p, q;
            p = Math.exp(b);
            q = 1 / p;
            e[0] = Math.sin(a) * (p + q) / 2.0;// 实部
            f[0] = Math.cos(a) * (p - q) / 2.0;// 虚部
    
        }
    
        static void Cos(double a, double b, double[] e, double[] f) {
    
            double p, q;
            p = Math.exp(b);
            q = 1 / p;
            e[0] = Math.cos(a) * (p + q) / 2.0;// 实部
            f[0] = Math.sin(a) * (p - q) / 2.0;// 虚部
        }
    
        public static void main(String[] args) {
            double a, b;
            double[] e = { 0 }, f = { 0 };
            a = 1.0;
            b = 4.0;
            cSin(a, b, e, f);
    
            System.out.printf("sin(%f+%fi)=%f+%fi\n", a, b, e[0], f[0]);
            Cos(a, b, e, f);
            System.out.printf("cos(%f+%fi)=%f+%fi\n", a, b, e[0], f[0]);
    
        }
    }

![这里写图片描述][SouthEast 4]

[SouthEast]: /images/20220611/c9c41a2dd84941cda217f40078143885.png
[SouthEast 1]: /images/20220611/40711bd2965d4a88a99c373efb006598.png
[SouthEast 2]: /images/20220611/187bf8235aeb4d9c971aa166347b09b3.png
[SouthEast 3]: /images/20220611/755525c8564a47d9a9a87b69956794f9.png
[SouthEast 4]: /images/20220611/cf4651ea375442c9b3098d68245c0b10.png