请编写程序,输入直角坐标 ( x,y ),输出对应的极坐标 ( r,θ )。
输入格式
( x,y )
输出格式
( r,θ )
注:θ 的单位为弧度,且 −π<θ≤π。
要求:r 和 θ 输出10位有效数字,不输出小数末尾多余的零和小数点。
输入样例1
( -1.29903810567665797, 0.75 )
输出样例1
( 1.5, 2.617993878 )
输入样例2
( -2, -3.4641016151377546 )
输出样例2
( 4, -2.094395102 )
作者
李祥
单位
湖北经济学院
代码长度限制
16 KB
时间限制
400 ms
内存限制
#include<stdio.h>
#include<math.h>
struct complex_s{
double x,y;
};
double real_part(struct complex_s z){
return z.x;
}
double img_part(struct complex_s z){
return z.y;
}
double magnitude(struct complex_s z){
return sqrt(z.x*z.x + z.y*z.y);
}
double angle(struct complex_s z){
return atan2(z.y, z.x);
}
struct complex_s make_from_real_img(double x, double y){
struct complex_s z;
z.x = x;
z.y = y;
return z;
}
struct complex_s make_from_mag_ang(double r, double A){
struct complex_s z;
z.x = r * cos(A);
z.y = r * sin(A);
return z;
}
struct complex_s add_complex(struct complex_s z1,struct complex_s z2){
return make_from_real_img(real_part(z1)+real_part(z2),
img_part(z1) + img_part(z2));
}
struct complex_s sub_complex(struct complex_s z1,struct complex_s z2){
return make_from_real_img(real_part(z1)-real_part(z2),
img_part(z1) - img_part(z2));
}
struct complex_s mul_complex(struct complex_s z1,struct complex_s z2){
return make_from_mag_ang(real_part(z1)*real_part(z2),
img_part(z1) + img_part(z2));
}
struct complex_s div_complex(struct complex_s z1,struct complex_s z2){
return make_from_mag_ang(real_part(z1)/real_part(z2),
img_part(z1) + img_part(z2));
}
int main(void){
struct complex_s z1 = {3.0,4.0};
struct complex_s z2= {2.0,5.0};
struct complex_s x;
x = add_complex(z1,z2);
printf("x={%f,%f}",x.x,x.y);
return 0;
}