// fuzzy Simulation
// Written by Microsoft Visual C++
// Copyright by UTLab @ Tsinghua University
// http://orsc.edu.cn/UTLab

#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include "UTLab.h"

#define N 5000

int main(void)
{
  double t, a, x[N+1], mu[N+1];
  int    i;

  for(i=1; i<=N; i++)  {  
	  
	  a=myu(1,3);
	  mu[i]=triangle(a,1,2,3);
	  x[i]=a*a;

	  a=myu(2,4);
	  t=triangle(a,2,3,4);
	  x[i]=x[i]+a*a;
      if(mu[i]>t) mu[i]=t;

      a=myu(3,5);
	  t=triangle(a,3,4,5);
      x[i]=x[i]+a*a;
      if(mu[i]>t) mu[i]=t;

	  a=myu(4,6);
	  t=triangle(a,4,5,6);
      x[i]=x[i]+a*a;
      if(mu[i]>t) mu[i]=t;

	  x[i]=sqrt(x[i]);
  }

  a=fuzzymean(x, mu, N, N);

  printf("Expected value is %f\n",a);
  return 1;
}