5-36 复数四则运算

最新推荐文章于 2021-11-17 22:25:55 发布

原创最新推荐文章于 2021-11-17 22:25:55 发布 · 2.2k 阅读

1 ·

CC 4.0 BY-SA版权

文章标签：

#PTA基础编程题目集 #c语言

C/C++ 专栏收录该内容

39 篇文章

订阅专栏

本文介绍了一个计算两个复数的和、差、积、商的程序设计案例。该程序通过定义复数结构体并实现基本的数学运算，包括加法、减法、乘法和除法，展示了复数运算的基本原理及其实现方法。

本题要求编写程序，计算2个复数的和、差、积、商。

输入格式：

输入在一行中按照a1 b1 a2 b2的格式给出2个复数C1=a1+b1i和C2=a2+b2i的实部和虚部。题目保证C2不为0。

输出格式：

分别在4行中按照(a1+b1i) 运算符 (a2+b2i) = 结果的格式顺序输出2个复数的和、差、积、商，数字精确到小数点后1位。如果结果的实部或者虚部为0，则不输出。如果结果为0，则输出0.0。

输入样例1：

2 3.08 -2.04 5.06

输出样例1：

(2.0+3.1i) + (-2.0+5.1i) = 8.1i
(2.0+3.1i) - (-2.0+5.1i) = 4.0-2.0i
(2.0+3.1i) * (-2.0+5.1i) = -19.7+3.8i
(2.0+3.1i) / (-2.0+5.1i) = 0.4-0.6i

输入样例2：

1 1 -1 -1.01

输出样例2：

(1.0+1.0i) + (-1.0-1.0i) = 0.0
(1.0+1.0i) - (-1.0-1.0i) = 2.0+2.0i
(1.0+1.0i) * (-1.0-1.0i) = -2.0i
(1.0+1.0i) / (-1.0-1.0i) = -1.0
#include <stdio.h>
#include <math.h>
#define EPSILON 0.1
typedef struct {
		double realPart;
		double imaginaryPart;
} COMPLEX;	/* 复数类型 */ 
COMPLEX makeComplex(double r, double i);	/* 构建复数 */ 
void printComplex(COMPLEX c);   /* 输出复数 */ 
void printResult(COMPLEX c);    /* 输出复数 */ 
COMPLEX addComplex(COMPLEX x, COMPLEX y);	/* 复数加法 */ 
COMPLEX subComplex(COMPLEX x, COMPLEX y);	/* 复数减法 */ 
COMPLEX mulComplex(COMPLEX x, COMPLEX y);	/* 复数乘法 */ 
COMPLEX divComplex(COMPLEX x, COMPLEX y);	/* 复数除法 */ 
int main(void) {
    double a1, b1, a2, b2;
    COMPLEX a, b, c;
    scanf("%lf%lf%lf%lf", &a1, &b1, &a2, &b2);
    a = makeComplex(a1, b1);
    b = makeComplex(a2, b2);
    /* 加法 */ 
    printComplex(a);
    printf(" + ");
    printComplex(b);
    printf(" = ");
    c = addComplex(a, b);
    printResult(c);
    /* 减法 */
    printComplex(a);
    printf(" - ");
    printComplex(b);
    printf(" = ");
    c = subComplex(a, b);
    printResult(c);
    /* 乘法 */
    printComplex(a);
    printf(" * ");
    printComplex(b);
    printf(" = ");
    c = mulComplex(a, b);
    printResult(c);
    /* 除法 */
    printComplex(a);
    printf(" / ");
    printComplex(b);
    printf(" = ");
    c = divComplex(a, b);
    printResult(c);
    return 0;
}
COMPLEX makeComplex(double r, double i) {
    COMPLEX temp;
    temp.realPart = r;
    temp.imaginaryPart = i;
    return temp;
}
void printComplex(COMPLEX c) {
    if(c.imaginaryPart >= 0)
        printf("(%.1f+%.1fi)", c.realPart, c.imaginaryPart);
    if(c.imaginaryPart < 0)
        printf("(%.1f%.1fi)", c.realPart, c.imaginaryPart);		    
}
void printResult(COMPLEX c) {	
    if(c.realPart == 0 && c.imaginaryPart == 0)
        printf("%.1f\n", c.realPart);
    if(c.realPart && c.imaginaryPart > 0)
        printf("%.1f+%.1fi\n", c.realPart, c.imaginaryPart);
    if(c.realPart && c.imaginaryPart < 0)
        printf("%.1f%.1fi\n", c.realPart, c.imaginaryPart);
    if(c.realPart && c.imaginaryPart == 0)
        printf("%.1f\n", c.realPart);
    if(c.realPart == 0 && c.imaginaryPart)
        printf("%.1fi\n", c.imaginaryPart);
}
COMPLEX addComplex(COMPLEX x, COMPLEX y) {
    COMPLEX temp;
    temp.realPart = x.realPart + y.realPart;
    if(fabs(temp.realPart) < EPSILON)
		temp.realPart = 0; 
    temp.imaginaryPart = x.imaginaryPart + y.imaginaryPart;
    if(fabs(temp.imaginaryPart) < EPSILON)
		temp.imaginaryPart = 0; 
    return temp;
}
COMPLEX subComplex(COMPLEX x, COMPLEX y) {
    COMPLEX temp;
    temp.realPart = x.realPart - y.realPart;
    if(fabs(temp.realPart) < EPSILON)
		temp.realPart = 0; 
    temp.imaginaryPart = x.imaginaryPart - y.imaginaryPart;
    if(fabs(temp.imaginaryPart) < EPSILON)
		temp.imaginaryPart = 0; 
    return temp;
}
COMPLEX mulComplex(COMPLEX x, COMPLEX y) {
    COMPLEX temp;
    temp.realPart = x.realPart * y.realPart - x.imaginaryPart * y.imaginaryPart;
    if(fabs(temp.realPart) < EPSILON)
		temp.realPart = 0; 
    temp.imaginaryPart = x.realPart * y.imaginaryPart + x.imaginaryPart * y.realPart;
    if(fabs(temp.imaginaryPart) < EPSILON)
		temp.imaginaryPart = 0; 
    return temp;
}
COMPLEX divComplex(COMPLEX x, COMPLEX y) {
    COMPLEX temp;
    double denominator = y.realPart * y.realPart + y.imaginaryPart * y.imaginaryPart;
    temp.realPart = (x.realPart * y.realPart +
                     x.imaginaryPart * y.imaginaryPart) / denominator;
    if(fabs(temp.realPart) < EPSILON)
		temp.realPart = 0; 
    temp.imaginaryPart = (x.imaginaryPart * y.realPart -
                          x.realPart * y.imaginaryPart) / denominator;
    if(fabs(temp.imaginaryPart) < EPSILON)
		temp.imaginaryPart = 0; 
    return temp;
}