7-57 复数四则运算 (15 分)
7-57 复数四则运算 (15 分)
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>
int main()
{
//double类型的数据可自动四舍五入;
double a1,b1,a2,b2,c1,c2;
scanf("%lf %lf %lf %lf",&a1,&b1,&a2,&b2);
//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;
//加法运算;
if((a1+a2)>-0.05&&(a1+a2)<0.05&&(b1+b2)>-0.05&&(b1+b2)<0.05)
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) + (%.1lf+%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) + (%.1lf%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) + (%.1lf+%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) + (%.1lf%.1lfi) = 0.0\n",a1,b1,a2,b2);
}
else if((a1+a2)>-0.05&&(a1+a2)<0.05)
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) + (%.1lf+%.1lfi) = %.1lfi\n",a1,b1,a2,b2,b1+b2);
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) + (%.1lf%.1lfi) = %.1lfi\n",a1,b1,a2,b2,b1+b2);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) + (%.1lf+%.1lfi) = %.1lfi\n",a1,b1,a2,b2,b1+b2);
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) + (%.1lf%.1lfi) = %.1lfi\n",a1,b1,a2,b2,b1+b2);
}
else if((b1+b2)>-0.05&&(b1+b2)<0.05)
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) + (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1+a2);
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) + (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1+a2);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) + (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1+a2);
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) + (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1+a2);
}
else
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) + (%.1lf+%.1lfi) = %lf+%lfi\n",a1,b1,a2,b2,a1+a2,b1+b2);
else if(b1>0&&b2<0)
{
if((b1+b2)>=0) printf("(%.1lf+%.1lfi) + (%.1lf%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,a1+a2,b1+b2);//’+'号是不会自动加上去的;
else printf("(%.1lf+%.1lfi) + (%.1lf%.1lfi) = %.1lf%.1lfi",a1,b1,a2,b2,a1+a1,b1+b2);
}
else if(b1<0&&b2>0)
{
if((b1+b2)>0) printf("(%.1lf%.1lfi) + (%.1lf+%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,a1+a2,b1+b2);
else printf("(%.1lf%.1lfi) + (%.1lf+%.1lfi) = %.1lf%.1lfi\n",a1,b1,a2,b2,a1+a2,b1+b2);
}
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) + (%.1lf%.1lfi) = %.1lf%.1lfi\n",a1,b1,a2,b2,a1+a2,b1+b2);
}
//减法运算;
if((a1-a2)>-0.05&&(a1-a2)<0.05&&(b1-b2)>-0.05&&(b1-b2)<0.05)
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) - (%.1lf%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) - (%.1lf+%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) - (%.1lf%.1lfi) = 0.0\n",a1,b1,a2,b2);
}
else if((a1-a2)>-0.05&&(a1-a2)<0.05)
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = %.1lfi\n",a1,b1,a2,b2,b1-b2);
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) - (%.1lf%.1lfi) = %.1lfi\n",a1,b1,a2,b2,b1-b2);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) - (%.1lf+%.1lfi) = %.1lfi\n",a1,b1,a2,b2,b1-b2);
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) - (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,b1-b2);
}
else if((b1-b2)>-0.05&&(b1-b2)<0.05)
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1-a2);
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) - (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1-a2);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) - (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1-a2);
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) - (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1-a2);
}
else
{
if(b1>=0&&b2>=0)
{
if((b1-b2)>0) printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,a1-a2,b1-b2);
else if((b1-b2)= =0) printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1-a2);
else printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = %.1lf%.1lfi\n",a1,b1,a2,b2,a1-a2,b1-b2);
}
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) - (%.1lf%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,a1-a2,b1-b2);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) - (%.1lf+%.1lfi) = %.1lf%.1lfi\n",a1,b1,a2,b2,a1-a2,b1-b2);
else if(b1<0&&b2<0)
{
if((b1-b2)>0) printf("(%.1lf%.1lfi) - (%.1lf%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,a1-a2,b1-b2);
else if((b1-b2)= =0) printf("(%.1lf%.1lfi) - (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1-a2);
else printf("(%.1lf%.1lfi) - (%.1lf%.lfi) = %.1lf%.1lfi",a1,b1,a2,b2,a1-a2,b1-b2);
}
}
//乘法运算;
if((a1a2-b1b2)>-0.05&&(a1a2-b1b2)<0.05&&(a1b2+a2b1)>-0.05&&(a1b2+a2b1)<0.05)
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) * (%.1lf%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) * (%.1lf+%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) * (%.1lf%.1lfi) = 0.0\n",a1,b1,a2,b2);
}
else if((a1a2-b1b2)>-0.05&&(a1a2-b1b2)<0.05)
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = %.1lfi\n",a1,b1,a2,b2,a1,a1b2+a2b1);
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) * (%.1lf%.1lfi) = %.1lfi\n",a1,b1,a2,b2,a1b2+a2b1);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) * (%.1lf+%.1lfi) = %.1lfi\n",a1,b1,a2,b2,a1b2+a2b1);
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) * (%.1lf%.1lfi) = %.1lfi\n",a1,b1,a2,b2,a1b2+a2b1);
}
else if((a1b2+a2b1)>-0.05&&(a1b2+a2b1)<0.05)
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1a2-b1b2);
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) * (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1a2-b1b2);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) * (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1a2-b1b2);
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) * (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1a2-b1b2);
}
else
{
if(b1>=0&&b2>=0)
{
if((a1b2+a2b1)>0) printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,a1a2-b1b2,a1b2+a2b1);
else if((a1b2+a2b1)= =0) printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1a2-b1b2);
else printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = %.1lf%.1lfi\n",a1,b1,a2,b2,a1a2-b1b2,a1b2+a2b1);
}
else if(b1>0&&b2<0)
{
if((a1b2+a2b1)>0) printf("(%.1lf+%.1lfi) * (%.1lf%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,a1a2-b1b2,a1b2+a2b1);
else if((a1b2+a2b1)= =0) printf("(%.1lf+%.1lfi) * (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1a2-b1b2);
else printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = %.1lf%.1lfi\n",a1,b1,a2,b2,a1a2-b1b2,a1b2+a2b1);
}
else if(b1<0&&b2>0)
{
if((a1b2+a2b1)>0) printf("(%.1lf%.1lfi) * (%.1lf+%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,a1a2-b1b2,a1b2+a2b1);
else if((a1b2+a2b1)= =0) printf("(%.1lf%.1lfi) * (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1a2-b1b2);
else printf("(%.1lf%.1lfi) * (%.1lf+%.1lfi) = %.1lf%.1lfi\n",a1,b1,a2,b2,a1a2-b1b2,a1b2+a2b1);
}
else if(b1<0&&b2<0)
{
if((a1b2+a2b1)>0) printf("(%.1lf%.1lfi) * (%.1lf%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,a1a2-b1b2,a1b2+a2b1);
else if((a1 * b2+a2 * b1)= =0) printf("(%.1lf%.1lfi) * (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,a1a2-b1b2,a1b2+a2b1);
else printf("(%.1lf%.1lfi) * (%.1lf%.1lfi) = %.1lf%.1lfi\n",a1,b1,a2,b2,a1a2-b1b2,a1b2+a2b1);
}
}
//除法运算;
if((a2a2+b2b2) ! =0)//当分母不为零时;
{
c1=((double)(a1a2+b1b2)/(double)(a2a2+b2b2));//实部;
c2=((double)(a2b1-a1b2)/(double)(a2a2+b2b2));//虚部;
if((c1>-0.05&&c1<0.05)&&(c2>-0.05&&c2<0.05))
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) / (%.1lf%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) / (%.1lf+%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) / (%.1lf%.1lfi) = 0.0\n",a1,b1,a2,b2);
}
else if(c1>-0.05&&c1<0.05)
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = %.1lfi\n",a1,b1,a2,b2,c2);
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) / (%.1lf%.1lfi) = %.1lfi\n",a1,b1,a2,b2,c2);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) / (%.1lf+%.1lfi) = %.1lfi\n",a1,b1,a2,b2,c2);
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) / (%.1lf%.1lfi) = %.1lfi\n",a1,b1,a2,b2,c2);
}
else if(c2>-0.05&&c2<0.05)
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,c1);
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) / (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,c1);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) / (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,c1);
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) / (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,c1);
}
else
{
if(b1>=0&&b2>=0)
{
if(c2>0) printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,c1,c2);
else if(c2= =0) printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,c1);
else printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = %.1lf%.1lfi\n",a1,b1,a2,b2,c1,c2);
}
else if(b1>0&&b2<0)
{
if(c2>0) printf("(%.1lf+%.1lfi) / (%.1lf%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,c1,c2);
else if(c2= =0) printf("(%.1lf+%.1lfi) / (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,c1);
else printf("(%.1lf+%.1lfi) / (%.1lf%.1lfi) = %.1lf%.1lfi\n",a1,b1,a2,b2,c1,c2);
}
else if(b1<0&&b2>0)
{
if(c2>0) printf("(%.1lf%.1lfi) / (%.1lf+%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,c1,c2);
else if(c2= =0) printf("(%.1lf%.1lfi) / (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,c1);
else printf("(%.1lf%.1lfi) / (%.1lf+%.1lfi) = %.1lf%.1lfi\n",a1,b1,a2,b2,c1,c2);
}
else if(b1<0&&b2<0)
{
if(c2>0) printf("(%.1lf%.1lfi) / (%.1lf%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,c1,c2);
else if(c2==0) printf("(%.1lf%.1lfi) / (%.1lf%.1lfi) = %.1lf\n",a1,b1,a2,b2,c1);
else printf("(%.1lf%.1lfi) / (%.1lf%.1lfi) = %.1lf%.1lfi\n",a1,b1,a2,b2,c1,c2);
}
}
}
else if((a2a2+b2b2)==0)//当分母为零时;
{
if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1>0&&b2<0) printf("(%.1lf+%.1lfi) / (%.1lf%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1<0&&b2>0) printf("(%.1lf%.1lfi) / (%.1lf+%.1lfi) = 0.0\n",a1,b1,a2,b2);
else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) / (%.1lf%.1lfi) = 0.0\n",a1,b1,a2,b2);
}
}
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