int main (int argc, char *argv[])
{
    double ratio,ns;
    
    // neutron stars, pulsar to bulge
    double res_x,err_x;

    //double xl_x[4]={3.0,0.0,-1200.0,-1200.0};
    //double xu_x[4]={13.0,13.0,1200.0,1200.0};
    //double xl_x[10]={4.5,0.0,-2000.0,-2000.0,-2000.0,-550.0,-450.0,-350.0,-3.1415926, -0.5*3.1415926};
    double xl_x[10]={4.5,0.0,-2000.0,-2000.0,-2000.0,-550.0,-450.0,-350.0,0.0001, -0.5*3.1415926};
    double xu_x[10]={11.5,11.5,2000.0,2000.0,2000.0,550.0,450.0,350.0,3.1415926, 3.1415926/2.0};

    const gsl_rng_type *T_x;
    gsl_rng *r_x;

    gsl_monte_function G_x={&g_psr,10,0};

    size_t calls_x=50000000;

    gsl_rng_env_setup ();

    T_x=gsl_rng_default;

    // neutron stars, pulsar to disk 
    double res_xd,err_xd;

    //double xl_x[4]={3.0,0.0,-2000.0,-2000.0};
    //double xu_x[4]={13.0,13.0,2000.0,2000.0};
    //double xl_xd[10]={0.0,0.0,-2000.0,-2000.0,-2000.0,-100.0,-150.0,-100.0,-3.1415926, -3.1415926/2.0};
    double xl_xd[10]={0.0,0.0,-2000.0,-2000.0,-2000.0,-100.0,-150.0,-100.0,0.0001, -3.1415926/2.0};
    double xu_xd[10]={11.5,11.5,2000.0,2000.0,2000.0,100.0,150.0,100.0,3.1415926, 3.1415926/2.0};

    const gsl_rng_type *T_xd;
    gsl_rng *r_xd;

    gsl_monte_function G_xd={&g_psr_disk,10,0};

    size_t calls_xd=50000000;

    T_xd=gsl_rng_default;
    
    ////////////////////////////////////////////////////////////////////////////////////////////
    //////////////////////////////////////////////////////////////////////////////////////////////////////

    // source bulge
    double res_s,err_s;

    double xl_s[3]={4.5,-3.1415926, -3.1415926/2.0};
    double xu_s[3]={11.5,3.1415926, 3.1415926/2.0};

    const gsl_rng_type *T_s;
    gsl_rng *r_s;

    gsl_monte_function G_s={&source,3,0};

    size_t calls_s=50000000;

    T_s=gsl_rng_default;

    r_s = gsl_rng_alloc (T_s);

    gsl_monte_vegas_state *s_s = gsl_monte_vegas_alloc (3);
    gsl_monte_vegas_integrate (&G_s, xl_s, xu_s, 3, 10000, r_s, s_s, &res_s, &err_s);

    do
    {
        gsl_monte_vegas_integrate (&G_s, xl_s, xu_s, 3, calls_s/5, r_s, s_s, &res_s, &err_s);
    }
    while (fabs (gsl_monte_vegas_chisq (s_s) - 1.0) > 0.5);

    gsl_monte_vegas_free (s_s);

    gsl_rng_free (r_s);
    
    //////////////////////////////////////////////////////////////////////////////////////////
    ////////////////////////////////////////////////////////////////////////////////////////////

    // source disk
    double res_sd,err_sd;

    double xl_sd[3]={0.0,-3.1415926, -3.1415926/2.0};
    double xu_sd[3]={11.5,3.1415926, 3.1415926/2.0};

    const gsl_rng_type *T_sd;
    gsl_rng *r_sd;

    gsl_monte_function G_sd={&source_d,3,0};

    size_t calls_sd=50000000;

    T_sd=gsl_rng_default;

    r_sd = gsl_rng_alloc (T_sd);

    gsl_monte_vegas_state *s_sd = gsl_monte_vegas_alloc (3);
    gsl_monte_vegas_integrate (&G_sd, xl_sd, xu_sd, 3, 10000, r_sd, s_sd, &res_sd, &err_sd);

    do
    {
        gsl_monte_vegas_integrate (&G_sd, xl_sd, xu_sd, 3, calls_sd/5, r_sd, s_sd, &res_sd, &err_sd);
    }
    while (fabs (gsl_monte_vegas_chisq (s_sd) - 1.0) > 0.5);

    gsl_monte_vegas_free (s_sd);

    gsl_rng_free (r_sd);
    
    //////////////////////////////////////////////////////////////////////////////////////////
    ////////////////////////////////////////////////////////////////////////////////////////////


    r_x=gsl_rng_alloc(T_x);

    gsl_monte_vegas_state *s_x = gsl_monte_vegas_alloc (10);

    r_xd=gsl_rng_alloc(T_xd);
        
    gsl_monte_vegas_state *s_xd = gsl_monte_vegas_alloc (10);

    // calculation
    
        gsl_monte_vegas_integrate (&G_x, xl_x, xu_x, 10, 10000, r_x, s_x,&res_x, &err_x);

        do
        {
            gsl_monte_vegas_integrate (&G_x, xl_x, xu_x, 10, calls_x/5, r_x, s_x,&res_x, &err_x);
        }
        while (fabs (gsl_monte_vegas_chisq (s_x) - 1.0) > 0.5);

    /////////////////////////////////////////////////////////////////////////////////////////////
    //////////////////////////////////////////////////////////////////////////////////////////////

        gsl_monte_vegas_integrate (&G_xd, xl_xd, xu_xd, 10, 10000, r_xd, s_xd, &res_xd, &err_xd);

        do
        {
            gsl_monte_vegas_integrate (&G_xd, xl_xd, xu_xd, 10, calls_xd/5, r_xd, s_xd, &res_xd, &err_xd);
        }
        while (fabs (gsl_monte_vegas_chisq (s_xd) - 1.0) > 0.5);

        //////////////////////////////////////////////////////////////////////////////////////////
        ////////////////////////////////////////////////////////////////////////////////////////////

        ns = res_x+res_xd;
        ratio = ns/(res_s+res_sd);
        printf ("%e\n", ratio);

    gsl_monte_vegas_free (s_x);

    gsl_rng_free (r_x);

    gsl_monte_vegas_free (s_xd);

    gsl_rng_free (r_xd);

    return 0;
}
示例#2
0
void mc_dual_integrate(gsl_monte_function *G,
		       gsl_monte_function *F,
		       gsl_rng *r,
		       double *_res1,double *_err1,
		       double *_res2,double *_err2,
		       MCConfig *config) {

  double res, err;
  size_t i;

  double *xl = (double*)malloc(G->dim*sizeof(double));
  double *xu = (double*)malloc(G->dim*sizeof(double));


  for (i=0;i<G->dim;i++) {
    xl[i]=0.00001;
    xu[i]=1.0;
  }

  size_t calls = config->calls;

     
  gsl_monte_vegas_state *s = gsl_monte_vegas_alloc (G->dim);
     
  gsl_monte_vegas_integrate (G, xl, xu, G->dim, config->warmup, r, s,
			       &res, &err);
  display_results ("vegas warm-up", res, err);
  
  fprintf(stderr,"converging...\n");
  int tries=0;

  do {
    gsl_monte_vegas_integrate (G, xl, xu, G->dim, calls, r, s,
				 &res, &err);
    fprintf(stderr,"A: result = %.4g sigma = %.4g "
	    "chisq/dof = %.1f\n", res, err, s->chisq);
  } while (fabs(s->chisq - 1.0) > 0.5 && (tries++ < 10));
  

  display_results ("A: vegas final", res, err);

  *_res1=res;
  *_err1=err;

  s->stage=1;
  do {
    gsl_monte_vegas_integrate (F, xl, xu, G->dim, calls, r, s,
				 &res, &err);
    fprintf(stderr,"B: result = %.4g sigma = %.4g "
	    "chisq/dof = %.1f\n", res, err, s->chisq);
  } while (fabs(s->chisq - 1.0) > 0.5 && (tries++ < 10));
  

  display_results ("B: vegas final", res, err);
  

  *_res2=res;
  *_err2=err;


  gsl_monte_vegas_free (s);

  free(xl);
  free(xu);
}
示例#3
0
 int
 main (void)
 {
   double res, err;
 
   double xl[3] = { 0, 0, 0 };
   double xu[3] = { M_PI, M_PI, M_PI };
 
   const gsl_rng_type *T;
   gsl_rng *r;
 
   gsl_monte_function G = { &g, 3, 0 };
 
   size_t calls = 500000;
 
   gsl_rng_env_setup ();
 
   T = gsl_rng_default;
   r = gsl_rng_alloc (T);
 
   {
     gsl_monte_plain_state *s = gsl_monte_plain_alloc (3);
     gsl_monte_plain_integrate (&G, xl, xu, 3, calls, r, s, 
                                &res, &err);
     gsl_monte_plain_free (s);
 
     display_results ("plain", res, err);
   }
 
   {
     gsl_monte_miser_state *s = gsl_monte_miser_alloc (3);
     gsl_monte_miser_integrate (&G, xl, xu, 3, calls, r, s,
                                &res, &err);
     gsl_monte_miser_free (s);
 
     display_results ("miser", res, err);
   }
 
   {
     gsl_monte_vegas_state *s = gsl_monte_vegas_alloc (3);
 
     gsl_monte_vegas_integrate (&G, xl, xu, 3, 10000, r, s,
                                &res, &err);
     display_results ("vegas warm-up", res, err);
 
     printf ("converging...\n");
 
     do
       {
         gsl_monte_vegas_integrate (&G, xl, xu, 3, calls/5, r, s,
                                    &res, &err);
         printf ("result = % .6f sigma = % .6f "
                 "chisq/dof = %.1f\n", res, err, gsl_monte_vegas_chisq (s));
       }
     while (fabs (gsl_monte_vegas_chisq (s) - 1.0) > 0.5);
 
     display_results ("vegas final", res, err);
 
     gsl_monte_vegas_free (s);
   }
 
   gsl_rng_free (r);
 
   return 0;
 }
示例#4
0
int main (void)
{
    double bd,ms,wd,ns,bh;
    
    // mfunc
    double res,err;

    double xl[1]={0.03};
    double xu[1]={120.0};

    const gsl_rng_type *T;
    gsl_rng *r;

    gsl_monte_function G={&g_x,1,0};

    size_t calls=50000000;

    gsl_rng_env_setup ();

    T=gsl_rng_default;

    // mfunc: ns
    double resn,errn;

    double xln[1]={8.0};
    double xun[1]={40.0};

    const gsl_rng_type *Tn;
    gsl_rng *rn;

    gsl_monte_function Gn={&g_x,1,0};

    size_t callsn=50000000;

    Tn=gsl_rng_default;

    // mfunc: bd
    double resbd,errbd;

    double xlbd[1]={0.03};
    double xubd[1]={0.08};

    const gsl_rng_type *Tbd;
    gsl_rng *rbd;

    gsl_monte_function Gbd={&g_x,1,0};

    size_t callsbd=50000000;

    Tbd=gsl_rng_default;

    // mfunc: ms
    double resms,errms;

    double xlms[1]={0.08};
    double xums[1]={1.0};

    const gsl_rng_type *Tms;
    gsl_rng *rms;

    gsl_monte_function Gms={&g_x,1,0};

    size_t callsms=50000000;

    Tms=gsl_rng_default;

    // mfunc: wd
    double reswd,errwd;

    double xlwd[1]={1.0};
    double xuwd[1]={8.0};

    const gsl_rng_type *Twd;
    gsl_rng *rwd;

    gsl_monte_function Gwd={&g_x,1,0};

    size_t callswd=50000000;

    Twd=gsl_rng_default;

    // mfunc: bh
    double resbh,errbh;

    double xlbh[1]={40.0};
    double xubh[1]={120.0};

    const gsl_rng_type *Tbh;
    gsl_rng *rbh;

    gsl_monte_function Gbh={&g_x,1,0};

    size_t callsbh=50000000;

    Tbh=gsl_rng_default;

    //////////////////////////////////////////////////////////////////////////////////////////
    ////////////////////////////////////////////////////////////////////////////////////////////

    // calculation mfunc
    r = gsl_rng_alloc (T);

    gsl_monte_vegas_state *s = gsl_monte_vegas_alloc (1);
    gsl_monte_vegas_integrate (&G, xl, xu, 1, 10000, r, s, &res, &err);

    do
    {
        gsl_monte_vegas_integrate (&G, xl, xu, 1, calls/5, r, s,&res, &err);
    }
    while (fabs (gsl_monte_vegas_chisq (s) - 1.0) > 0.5);

    //////////////////////////////////////////////////////////////////////////////////////////
    //////////////////////////////////////////////////////////////////////////////////////////

    rn = gsl_rng_alloc (Tn);

    gsl_monte_vegas_state *sn = gsl_monte_vegas_alloc (1);
    gsl_monte_vegas_integrate (&Gn, xln, xun, 1, 10000, rn, sn, &resn, &errn);

    do
    {
        gsl_monte_vegas_integrate (&Gn, xln, xun, 1, callsn/5, rn, sn, &resn, &errn);
    }
    while (fabs (gsl_monte_vegas_chisq (sn) - 1.0) > 0.5);

    //////////////////////////////////////////////////////////////////////////////////////////
    //////////////////////////////////////////////////////////////////////////////////////////

    rbd = gsl_rng_alloc (Tbd);

    gsl_monte_vegas_state *sbd = gsl_monte_vegas_alloc (1);
    gsl_monte_vegas_integrate (&Gbd, xlbd, xubd, 1, 10000, rbd, sbd, &resbd, &errbd);

    do
    {
        gsl_monte_vegas_integrate (&Gbd, xlbd, xubd, 1, callsbd/5, rbd, sbd, &resbd, &errbd);
    }
    while (fabs (gsl_monte_vegas_chisq (sbd) - 1.0) > 0.5);

    //////////////////////////////////////////////////////////////////////////////////////////
    //////////////////////////////////////////////////////////////////////////////////////////

    rms = gsl_rng_alloc (Tms);

    gsl_monte_vegas_state *sms = gsl_monte_vegas_alloc (1);
    gsl_monte_vegas_integrate (&Gms, xlms, xums, 1, 10000, rms, sms, &resms, &errms);

    do
    {
        gsl_monte_vegas_integrate (&Gms, xlms, xums, 1, callsms/5, rms, sms, &resms, &errms);
    }
    while (fabs (gsl_monte_vegas_chisq (sms) - 1.0) > 0.5);

    //////////////////////////////////////////////////////////////////////////////////////////
    //////////////////////////////////////////////////////////////////////////////////////////

    rwd = gsl_rng_alloc (Twd);

    gsl_monte_vegas_state *swd = gsl_monte_vegas_alloc (1);
    gsl_monte_vegas_integrate (&Gwd, xlwd, xuwd, 1, 10000, rwd, swd, &reswd, &errwd);

    do
    {
        gsl_monte_vegas_integrate (&Gwd, xlwd, xuwd, 1, callswd/5, rwd, swd, &reswd, &errwd);
    }
    while (fabs (gsl_monte_vegas_chisq (swd) - 1.0) > 0.5);

    //////////////////////////////////////////////////////////////////////////////////////////
    //////////////////////////////////////////////////////////////////////////////////////////

    rbh = gsl_rng_alloc (Tbh);

    gsl_monte_vegas_state *sbh = gsl_monte_vegas_alloc (1);
    gsl_monte_vegas_integrate (&Gbh, xlbh, xubh, 1, 10000, rbh, sbh, &resbh, &errbh);

    do
    {
        gsl_monte_vegas_integrate (&Gbh, xlbh, xubh, 1, callsbh/5, rbh, sbh, &resbh, &errbh);
    }
    while (fabs (gsl_monte_vegas_chisq (sbh) - 1.0) > 0.5);

    //////////////////////////////////////////////////////////////////////////////////////////
    //////////////////////////////////////////////////////////////////////////////////////////

    ns = resn/res;
    bd = resbd/res;
    ms = resms/res;
    wd = reswd/res;
    bh = resbh/res;
    printf ("ns: %e\n", ns);
    printf ("bd: %e\n", bd);
    printf ("ms: %e\n", ms);
    printf ("wd: %e\n", wd);
    printf ("bh: %e\n", bh);
    fflush(stdout);        

    gsl_monte_vegas_free (s);

    gsl_rng_free (r);

    gsl_monte_vegas_free (sn);

    gsl_rng_free (rn);
    
    gsl_monte_vegas_free (sbd);

    gsl_rng_free (rbd);
    
    gsl_monte_vegas_free (sms);

    gsl_rng_free (rms);
    
    gsl_monte_vegas_free (swd);

    gsl_rng_free (rwd);
    
    gsl_monte_vegas_free (sbh);

    gsl_rng_free (rbh);

    return 0;
}
int main (int argc, char *argv[])
{
    double ratio;
    int i;
    int id;  //  process rank
    int p;   //  number of processes

    MPI_Init (&argc, &argv);
    MPI_Comm_rank (MPI_COMM_WORLD, &id);
    MPI_Comm_size (MPI_COMM_WORLD, &p);
    
    // neutron stars, pulsar to bulge 
    double res_x,err_x;

    //double xl_x[4]={3.0,0.0,-2000.0,-2000.0};
    //double xu_x[4]={13.0,13.0,2000.0,2000.0};
    double xl_x[8]={3.0,0.0,-2000.0,-2000.0,-2000.0,-550.0,-450.0,-350.0};
    double xu_x[8]={13.0,13.0,2000.0,2000.0,2000.0,550.0,450.0,350.0};

    const gsl_rng_type *T_x;
    gsl_rng *r_x;

    gsl_monte_function G_x={&g_psr,8,0};

    size_t calls_x=5000000;

    gsl_rng_env_setup ();

    T_x=gsl_rng_default;
    
    // source
    double res_s,err_s;

    double xl_s[1]={3.0};
    double xu_s[1]={13.0};

    const gsl_rng_type *T_s;
    gsl_rng *r_s;

    gsl_monte_function G_s={&source,1,0};

    size_t calls_s=5000000;

    T_s=gsl_rng_default;

    r_s = gsl_rng_alloc (T_s);

    gsl_monte_vegas_state *s_s = gsl_monte_vegas_alloc (1);
    gsl_monte_vegas_integrate (&G_s, xl_s, xu_s, 1, 10000, r_s, s_s, &res_s, &err_s);

    do
    {
        gsl_monte_vegas_integrate (&G_s, xl_s, xu_s, 1, calls_s/5, r_s, s_s, &res_s, &err_s);
    }
    while (fabs (gsl_monte_vegas_chisq (s_s) - 1.0) > 0.5);

    gsl_monte_vegas_free (s_s);

    gsl_rng_free (r_s);
    
    //////////////////////////////////////////////////////////////////////////////////////////
    ////////////////////////////////////////////////////////////////////////////////////////////

    // neutron stars, pulsar to disk 
    double res_xd,err_xd;

    //double xl_x[4]={3.0,0.0,-2000.0,-2000.0};
    //double xu_x[4]={13.0,13.0,2000.0,2000.0};
    double xl_xd[8]={0.0,0.0,-2000.0,-2000.0,-2000.0,-100.0,-150.0,-100.0};
    double xu_xd[8]={13.0,13.0,2000.0,2000.0,2000.0,100.0,150.0,100.0};

    const gsl_rng_type *T_xd;
    gsl_rng *r_xd;

    gsl_monte_function G_xd={&g_psr_disk,8,0};

    size_t calls_xd=5000000;

    T_xd=gsl_rng_default;
    
    // source disk
    double res_sd,err_sd;

    double xl_sd[1]={0.0};
    double xu_sd[1]={13.0};

    const gsl_rng_type *T_sd;
    gsl_rng *r_sd;

    gsl_monte_function G_sd={&source_disk,1,0};

    size_t calls_sd=5000000;

    T_sd=gsl_rng_default;

    r_sd = gsl_rng_alloc (T_sd);

    gsl_monte_vegas_state *s_sd = gsl_monte_vegas_alloc (1);
    gsl_monte_vegas_integrate (&G_sd, xl_sd, xu_sd, 1, 10000, r_sd, s_sd, &res_sd, &err_sd);

    do
    {
        gsl_monte_vegas_integrate (&G_sd, xl_sd, xu_sd, 1, calls_sd/5, r_sd, s_sd, &res_sd, &err_sd);
    }
    while (fabs (gsl_monte_vegas_chisq (s_sd) - 1.0) > 0.5);

    gsl_monte_vegas_free (s_sd);

    gsl_rng_free (r_sd);
    
    //////////////////////////////////////////////////////////////////////////////////////////
    ////////////////////////////////////////////////////////////////////////////////////////////

    // calculation
    for (i=id;i<=200.0;i+=p)
    {
        //t=pow(10.0,0.015*i);    
        t=-0.5+0.0175*i; 

        r_x=gsl_rng_alloc(T_x);
        
        gsl_monte_vegas_state *s_x = gsl_monte_vegas_alloc (8);
        gsl_monte_vegas_integrate (&G_x, xl_x, xu_x, 8, 10000, r_x, s_x,&res_x, &err_x);

        // display_results ("vegas warm-up", res, err);
        // printf ("converging...\n");
        do
        {
            gsl_monte_vegas_integrate (&G_x, xl_x, xu_x, 8, calls_x/5, r_x, s_x,&res_x, &err_x);
          //printf ("result = % .6ef sigma = % .6ef chisq/dof = %.1f\n", res, err, gsl_monte_vegas_chisq (s));
        }
        while (fabs (gsl_monte_vegas_chisq (s_x) - 1.0) > 0.5);
        // display_results ("vegas final", res, err);

        //////////////////////////////////////////////////////////////////////////////////////////
        ////////////////////////////////////////////////////////////////////////////////////////////

        r_xd=gsl_rng_alloc(T_xd);
        
        gsl_monte_vegas_state *s_xd = gsl_monte_vegas_alloc (8);
        gsl_monte_vegas_integrate (&G_xd, xl_xd, xu_xd, 8, 10000, r_xd, s_xd, &res_xd, &err_xd);

        // display_results ("vegas warm-up", res, err);
        // printf ("converging...\n");
        do
        {
            gsl_monte_vegas_integrate (&G_xd, xl_xd, xu_xd, 8, calls_xd/5, r_xd, s_xd, &res_xd, &err_xd);
          //printf ("result = % .6ef sigma = % .6ef chisq/dof = %.1f\n", res, err, gsl_monte_vegas_chisq (s));
        }
        while (fabs (gsl_monte_vegas_chisq (s_xd) - 1.0) > 0.5);
        // display_results ("vegas final", res, err);

        //////////////////////////////////////////////////////////////////////////////////////////
        ////////////////////////////////////////////////////////////////////////////////////////////

        ratio = fabs(res_x)/fabs(res_s)+fabs(res_xd)/fabs(res_sd);
        printf ("%e %e\n", t,ratio);
        fflush(stdout);        

        gsl_monte_vegas_free (s_x);

        gsl_rng_free (r_x);
    
        gsl_monte_vegas_free (s_xd);

        gsl_rng_free (r_xd);
    
    }

    //printf ("Process %d is done\n", id);
    fflush (stdout);
    MPI_Finalize ();
    return 0;
}
int main (int argc, char *argv[])
{
    double psr;

    // source bulge
    double res_s,err_s;

    double xl_s[1]={4.5};
    double xu_s[1]={11.5};

    const gsl_rng_type *T_s;
    gsl_rng *r_s;

    gsl_monte_function G_s={&source,1,0};

    size_t calls_s=50000000;

    gsl_rng_env_setup ();

    T_s=gsl_rng_default;

    r_s = gsl_rng_alloc (T_s);

    gsl_monte_vegas_state *s_s = gsl_monte_vegas_alloc (1);
    gsl_monte_vegas_integrate (&G_s, xl_s, xu_s, 1, 10000, r_s, s_s, &res_s, &err_s);

    do
    {
        gsl_monte_vegas_integrate (&G_s, xl_s, xu_s, 1, calls_s/5, r_s, s_s, &res_s, &err_s);
    }
    while (fabs (gsl_monte_vegas_chisq (s_s) - 1.0) > 0.5);

    gsl_monte_vegas_free (s_s);

    gsl_rng_free (r_s);
    
    //////////////////////////////////////////////////////////////////////////////////////////
    ////////////////////////////////////////////////////////////////////////////////////////////

    // neutron stars, pulsar to bulge 
    double res_x,err_x;

    //double xl_x[4]={3.0,0.0,-1200.0,-1200.0};
    //double xu_x[4]={13.0,13.0,1200.0,1200.0};
    double xl_x[8]={4.5,0.01,-2000.0,-2000.0,-2000.0,-550.0,-450.0,-350.0};
    double xu_x[8]={11.5,8.0,2000.0,2000.0,2000.0,550.0,450.0,350.0};

    const gsl_rng_type *T_x;
    gsl_rng *r_x;

    gsl_monte_function G_x={&g_psr,8,0};

    size_t calls_x=50000000;

    T_x=gsl_rng_default;

    // calculation
    
    r_x=gsl_rng_alloc(T_x);
        
    gsl_monte_vegas_state *s_x = gsl_monte_vegas_alloc (8);
    gsl_monte_vegas_integrate (&G_x, xl_x, xu_x, 8, 10000, r_x, s_x,&res_x, &err_x);

    do
    {
        gsl_monte_vegas_integrate (&G_x, xl_x, xu_x, 8, calls_x/5, r_x, s_x,&res_x, &err_x);
    }
    while (fabs (gsl_monte_vegas_chisq (s_x) - 1.0) > 0.5);

    /////////////////////////////////////////////////////////////////////////////////////////////
    //////////////////////////////////////////////////////////////////////////////////////////////

    // source disk
    double res_sd,err_sd;

    double xl_sd[1]={0.0};
    double xu_sd[1]={11.5};

    const gsl_rng_type *T_sd;
    gsl_rng *r_sd;

    gsl_monte_function G_sd={&source_d,1,0};

    size_t calls_sd=50000000;

    T_sd=gsl_rng_default;

    r_sd = gsl_rng_alloc (T_sd);

    gsl_monte_vegas_state *s_sd = gsl_monte_vegas_alloc (1);
    gsl_monte_vegas_integrate (&G_sd, xl_sd, xu_sd, 1, 10000, r_sd, s_sd, &res_sd, &err_sd);

    do
    {
        gsl_monte_vegas_integrate (&G_sd, xl_sd, xu_sd, 1, calls_sd/5, r_sd, s_sd, &res_sd, &err_sd);
    }
    while (fabs (gsl_monte_vegas_chisq (s_sd) - 1.0) > 0.5);

    gsl_monte_vegas_free (s_sd);

    gsl_rng_free (r_sd);
    
    //////////////////////////////////////////////////////////////////////////////////////////
    ////////////////////////////////////////////////////////////////////////////////////////////

    // neutron stars, pulsar to disk
    double res_xd,err_xd;

    //double xl_x[4]={3.0,0.0,-1200.0,-1200.0};
    //double xu_x[4]={13.0,13.0,1200.0,1200.0};
    double xl_xd[8]={0.0,0.01,-2000.0,-2000.0,-2000.0,-100.0,-150.0,-100.0};
    double xu_xd[8]={11.5,8.0,2000.0,2000.0,2000.0,100.0,150.0,100.0};

    const gsl_rng_type *T_xd;
    gsl_rng *r_xd;

    gsl_monte_function G_xd={&g_psr_d,8,0};

    size_t calls_xd=50000000;

    T_xd=gsl_rng_default;

    // calculation
    
    r_xd=gsl_rng_alloc(T_xd);
        
    gsl_monte_vegas_state *s_xd = gsl_monte_vegas_alloc (8);
    gsl_monte_vegas_integrate (&G_xd, xl_xd, xu_xd, 8, 10000, r_xd, s_xd, &res_xd, &err_xd);

    do
    {
        gsl_monte_vegas_integrate (&G_xd, xl_xd, xu_xd, 8, calls_xd/5, r_xd, s_xd, &res_xd, &err_xd);
    }
    while (fabs (gsl_monte_vegas_chisq (s_xd) - 1.0) > 0.5);

    /////////////////////////////////////////////////////////////////////////////////////////////
    //////////////////////////////////////////////////////////////////////////////////////////////
    psr = (fabs(res_x)+fabs(res_xd))/(fabs(res_s)+fabs(res_sd));
    printf ("bulge:%e %e %e\n", res_x, res_s, res_x/res_s);
    printf ("disk:%e %e %e\n", res_xd, res_sd, res_xd/res_sd);
    printf ("psr event rate:%e\n", psr);
    //printf ("psr event rate: %e\n", psr);

    gsl_monte_vegas_free (s_x);

    gsl_rng_free (r_x);

    gsl_monte_vegas_free (s_xd);

    gsl_rng_free (r_xd);

    return 0;
}