当总和本身显示为180时,当我从两个角度的总和中提取180时,我会得到错误的答案

Why I get an incorrect answer when I substract 180 from the sum of the two angles when the sum itself shows as 180?

本文关键字:180时 提取 错误 答案 显示 两个      更新时间:2023-10-16

该程序获得4分(它们的坐标),形成一个凸形图,应该给我A2 角度A4-180度的角度。示例:

1 3
0 2
1 1
2 2

我得到ua2 = 90和ua4 = 90,但是当我做UA2 UA4-180时,我得到2.0568E-007,而不是0。但是当我只做UA2 UA4时,我会得到180。对不起,如果A提出了类似的问题,但我不知道如何搜索它。谁能告诉我为什么会发生以及如何修复它以显示正确的答案?代码:

#include <iostream>
#include <fstream>
#include <cmath>
#define PI 3.14159265
using namespace std;
ifstream f("date.in");
struct punct
{
    double x,y;
}A1,A2,A3,A4;
int main()
{
    double uA2,uA4;
    f>>A1.x>>A1.y>>A2.x>>A2.y>>A3.x>>A3.y>>A4.x>>A4.y;
//calculate cos of both angles
    uA2=((A1.x-A2.x)*(A3.x-A2.x)+(A1.y-A2.y)*(A3.y-A2.y))/
            (sqrt((A1.x-A2.x)*(A1.x-A2.x)+(A1.y-A2.y)*(A1.y-A2.y))*sqrt((A3.x-A2.x)*(A3.x-A2.x)+(A3.y-A2.y)*(A3.y-A2.y)));
    uA4=((A1.x-A4.x)*(A3.x-A4.x)+(A1.y-A4.y)*(A3.y-A4.y))/
            (sqrt((A1.x-A4.x)*(A1.x-A4.x)+(A1.y-A4.y)*(A1.y-A4.y))*sqrt((A3.x-A4.x)*(A3.x-A4.x)+(A3.y-A4.y)*(A3.y-A4.y)));
//calculate angles
    uA2=acos(uA2)*180.0/PI;
    uA4=acos(uA4)*180.0/PI;
//the part that gives me an incorrect answer
    cout<<uA2+uA4-180<<endl;
}

用于浮点计算,我们可以使用一些非常小的偏移值来实现边际错误,例如1E-6。

    double diff = uA2 + uA4 - 180, threshold = 1e-6;
    if (diff < threshold && diff > -threshold) cout << "0" << endl;
    else cout << diff << endl;
   // cout<<uA2+uA4-180<<endl;