// by __simplysml__ 2022/3/19.
// UPD 2022/3/20
#include<bits/stdc++.h>
using namespace std;
#define db double
const double pi = 3.1415926;
class phy_1{
db b[7][4];
int num[4] = {7,7,7,7};
int k;
public:
phy_1(double **a, int kk = 3){
for(int i = 0; i < 7; i++){
for(int j = 0; j < 4; j++){
b[i][j] = a[i][j];
}
}
k = kk;
}
void print(){
for(int i = 0; i < 7; i++){
for(int j = 0; j < 4; j++){
printf("%.2f ", b[i][j]);
}
printf("\n");
}
return;
}
// 用拉依达准则(弱化版)来剔除,虽然样本数量有点少,但是只能这么将就着用啦
void fuck_the_extreme_data(){
double sum[4] = {0,0,0,0};
double mu[4];
double sigma[4] = {0,0,0,0};
for(int i = 0; i < 7; i++){
for(int j = 0; j < 4; j++){
sum[j] += b[i][j];
}
}
for(int i = 0; i < 4; i++){
mu[i] = sum[i] / 7;
}
for(int i = 0; i < 7; i++){
for(int j = 0; j < 4; j++){
sigma[j] += pow(b[i][j] - mu[j], 2);
}
}
for(int j = 0; j < 4; j++){
sigma[j] /= 7;
sigma[j] = pow(sigma[j], 0.5);
// printf("\n%.2f %.2f\n", sigma[j], mu[j]);
}
for(int i = 0; i < 7; i++){
for(int j = 0; j < 4; j++){
if(b[i][j] > mu[j] + 2.3 * sigma[j] || b[i][j] < mu[j] - 2.3 * sigma[j]){
num[j]--;
b[i][j] = 0;
}
}
}
return;
}
private:
void output_the_ave_data(){
double sum[4] = {0,0,0,0};
for(int i = 0; i < 7; i++){
for(int j = 0; j < 4; j++){
sum[j] += b[i][j];
}
}
cout << "Here is the average data:: ";
for(int i = 0; i < 4; i++){
printf("%.3f ",sum[i] / num[i]);
}
cout << endl;
return;
}
double mu[4];
void output_the_sigma(){
double sum[4] = {0,0,0,0};
double sigma[4] = {0,0,0,0};
for(int i = 0; i < 7; i++){
for(int j = 0; j < 4; j++){
sum[j] += b[i][j];
}
}
for(int i = 0; i < 4; i++){
mu[i] = sum[i] / num[i];
}
for(int i = 0; i < 7; i++){
for(int j = 0; j < 4; j++){
if(b[i][j] == 0){
continue;
}
sigma[j] += pow(b[i][j] - mu[j], 2);
}
}
cout << "Here is the Sx data:: ";
for(int j = 0; j < 4; j++){
sigma[j] /= num[j];
sigma[j] = pow(sigma[j], 0.5);
printf("%.2e ", sigma[j]);
}
cout << endl;
return;
}
double ans[4] = {0,0,0,0};
void output_ua(){
for(int i = 0; i < 7; i++){
for(int j = 0; j < 4; j++){
if(b[i][j] != 0){
ans[j] += pow(b[i][j] - mu[j], 2);
}
}
}
for(int i = 0; i< 4; i++){
ans[i] /= (num[i] - 1);
ans[i] = pow(ans[i] , 0.5);
}
cout << "Here is the Ua data:: ";
for(int j = 0; j < 4; j++){
printf("%.2e ", ans[j]);
}
printf("\n");
return;
}
void output_ub(){
cout << "Here is the Ub data:: 0.012 0.012 0.012 0.012\n";
return;
}
db uc[4];
void output_uc(){
cout << "Here is the Uc data:: ";
for(int j = 0; j < 4; j++){
uc[j] = pow(pow(ans[j], 2) + pow(0.012, 2), 0.5);
printf("%.2e ", pow(pow(ans[j], 2) + pow(0.012, 2), 0.5));
}
printf("\n");
}
double v,uv,um,m,rou;
void change(){
v = pi / 4 * (mu[0] * mu[0] * mu[1] - mu[2] * mu[2] * mu[3]);
uv = pi / 4 * (pow( pow(2 * mu[0] * mu[1] * uc[0], 2) + pow(mu[0] * mu[0] * uc[1], 2) + pow(2 * mu[2] * mu[3] * uc[2], 2) + pow(mu[2] * mu[2] * uc[3], 2),0.5));
um = 0.05/1.654;
m = 35.68;
rou = m / v;
}
public:
void output(){
output_the_ave_data();
output_the_sigma();
output_ua();
output_ub();
output_uc();
change();
printf("V= %.8e\n", pi / 4 * (mu[0] * mu[0] * mu[1] - mu[2] * mu[2] * mu[3]));
printf("uv= %.2e\n", pi / 4 * (pow( pow(2 * mu[0] * mu[1] * uc[0], 2) + pow(mu[0] * mu[0] * uc[1], 2) + pow(2 * mu[2] * mu[3] * uc[2], 2) + pow(mu[2] * mu[2] * uc[3], 2),0.5)));
printf("rou= %.2e\n", rou * 1000);
printf("urou=%.2e\n", pow(pow(um / v,2) + pow(log(v / 1000) * m * uv / 1000,2) , 0.5));
}
};
int main(){
cout << "Please Input your data on test 1: \n";
db** a = new double* [7];
for(int i = 0; i < 7; i++){
a[i] = new double[4];
}
for(int i = 0; i < 7; i++){
for(int j = 0; j < 4; j++)
cin >> a[i][j];
}
phy_1 p(a,2.3);
p.fuck_the_extreme_data();
p.output();
// p.print();
for(int i = 0; i < 7; i++){
delete[] a[i];
}
delete []a;
system("pause");
}
以上是我写的代码,希望对大家有所帮助!
之前写的代码都是竞赛导向的,最近刚在慕课上面听了PKU的面向对象程序设计,正好又有处理物理实验数据的需求,然后就诞生了这样一份代码。
如果有找到错误的,请邮箱联系我!!感谢!!!
s1292103908@outlook.com
这段代码展示了如何使用C++实现面向对象编程来处理物理实验数据。通过拉依达准则剔除异常值,计算平均值、标准差、方差等,并进行相关物理量的计算,如体积、速度和流动阻力等。

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