c++中的复数
参考来源:http://c.biancheng.net/view/703.html
1. 复数模板为 complex,include就可以用了,具体可以使用
complex<float>, complex<double>, complex<longdouble>
2. 加减乘除和普通的浮点数一样使用,包括 +=, -=, *=, /=。也可以判别两个复数是否相等。
3. 模方,辐角主值,共轭:norm(z), arg(z), conj(z)
参考代码如下
#include<iostream>
using namespace std;
#include<complex>
#include<cmath>
int main(){
complex<double> z1, z2;
cout<<" Please in put a complex number \n\t";
cin>>z1;// e.g. (3,4) means 3+4i
cout<<" Please in put another complex number \n\t";
cin>>z2;
cout<<"complex number z1 = "<<z1<<endl;
cout<<" Re(z1) = "<<z1.real()<<endl;
cout<<" Im(z1) = "<<z1.imag()<<endl;
cout<<" z1 + z2 = "<<z1+z2<<endl;
cout<<" z1 - z2 = "<< z1-z2 <<endl;
cout<<" z1 * z2 = "<< z1*z2 <<endl;
cout<<" z1 / z2 = "<< z1/z2 <<endl;
if( z1 == z2 )cout<<" z1 == z2 "<<endl;
cout<<" norm of z1 = "<< norm(z1) <<endl;
cout<<" arg of z1 = "<< arg(z1) <<endl;
cout<<" conjugate of z1 = "<< conj(z1) <<endl;
cout<<" exp(z1) = "<<exp(z1)<<endl;
return 0;
}
运行结果为
Please in put a complex number
(3,4)
Please in put another complex number
(4,5)
complex number z1 = (3,4)
Re(z1) = 3
Im(z1) = 4
z1 + z2 = (7,9)
z1 - z2 = (-1,-1)
z1 * z2 = (-8,31)
z1 / z2 = (0.780488,0.0243902)
norm of z1 = 25
arg of z1 = 0.927295
conjugate of z1 = (3,-4)
exp(z1) = (-13.1288,-15.2008)
挺好用。
补充:c++11标准与如下语句不兼容:
complex<double> z = 1 + 2i;
编译器会说 2i 是神马?所以用复数的时候得去掉 -std=c++11 编译选项。