數字信號產生之柯西分佈的隨機數

uniform.h

 

 

#pragma once

class uniform
{
private:
 double a, b, generate_num;
 int * seed;
 int s;
 int M, N, i, j;

public:
 uniform()
 {
  M = 1048576;
  N = 2045;
 }
 void generate();
 double random_number(double, double, int *);
};

double uniform::random_number(double a, double b, int * seed)
{
 (*seed) = N * (*seed) + 1;
 (*seed) = (*seed) - ((*seed) / M) * M;
 generate_num = static_cast<double>((*seed)) / M;
 generate_num = a + (b - a) * generate_num;
 return (generate_num);
}

 

 

cauthy.h

 

#pragma once
#include <math.h>
#include "uniform.h"

#define PI 3.1415926

class cauthy
{
private:
 double a, b, u, x, generate_num;
 int * seed;
 int s, i, j;

public:
 cauthy() {}
 void generate();
 double random_number(double, double, int *);
};

double cauthy::random_number(double a, double b, int * seed)
{
 uniform unif_num;
 u = unif_num.random_number(0.0, 1.0, seed);
 x = a - b / tan(PI * u);
 return (x);
}

 

 

 

cauthy.cpp

 

//產生50個參數alpha = 1、beta = 1的柯西分佈的隨機數
#include <iostream>
#include <iomanip>
#include "cauchy.h"

using namespace std;

void main()
{
 cauthy solution;
 solution.generate();
}

void cauthy::generate()
{
 cout << "輸入柯西分佈的參數alpha：";
 cin >> a;
 cout << "輸入柯西分佈的參數beta：";
 cin >> b;
 cout << "輸入隨機數的種子：";
 cin >> s;
 cout << "生成隨機數的結果爲：" << endl;
 for (i = 0; i < 10; i++)
 {
  for (j = 0; j < 5; j++)
  {
   generate_num = random_number(a, b, &s);
   cout << setw(10) << generate_num;
  }
  cout << endl;
 }
}