數字信號產生之對數正態分佈的隨機數

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);
}

 

 

gauss.h

 

#pragma once
#include "uniform.h"

class gauss
{
private:
 double mean, sigma, x, y, generate_num;
 int s;
 int * seed;
 int i, j, m;

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

double gauss::random_number(double mean, double sigma, int * seed)
{
 uniform unif_num;
 x = 0;
 for (m = 0; m < 12; m++)
 {
  x += unif_num.random_number(0.0, 1.0, seed);
 }
 x = x - 6.0;
 y = mean + x * sigma;
 return (y);
}

 

 

lognorm.h

 

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

class lognorm
{
private:
 double sigma, u, x, y, generate_num;
 int * seed;
 int s, i, j;

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

double lognorm::random_number(double u, double sigma, int * seed)
{
 gauss gau_num;
 y = gau_num.random_number(u, sigma, seed);
 x = exp(y);
 return (x);
}

 

 

lognorm.cpp

 


#include <iostream>
#include <iomanip>
#include "lognorm.h"

using namespace std;

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

void lognorm::generate()
{
 cout << "輸入對數正態分佈的均值:";
 cin >> u;
 cout << "輸入對數正態分佈的方差:";
 cin >> sigma;
 cout << "輸入隨機數的種子:";
 cin >> s;
 cout << "生成的隨機數結果爲:" << endl;
 for(i = 0; i < 10; i++)
 {
  for(j = 0; j < 5; j++)
  {
   generate_num = random_number(u, sigma, &s);
   cout << setw(10) << generate_num;
  }
  cout << endl;
 }
}

 

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