void eterm_show(int m, cmulti **x, func_t *fF, int bmax, int kappa)
{
int kmax,k,db=64;
int *b=NULL,tau;
func_t *fJ=NULL;
cmulti **y=NULL;
rmulti **e=NULL,**eps=NULL,**em=NULL,**r=NULL,*rmax=NULL,**p=NULL;
kmax=(bmax-64)/db; if(kmax<0){ kmax=2; }
tau=cvec_get_exp_max(m,x);
printf("tau=%d\n",tau);
fJ=func_grad(func_retain(fF),func_var1_list(m));
CVA(y,m); RVA(e,kmax); RVA(eps,kmax); RVA(em,kmax); RVA(r,kmax); RVA(p,kmax); RA(rmax);
b=ivec_allocate(kmax);
b[0]=53;
for(k=1; k<kmax; k++){ b[k]=(k-1)*db+64; }
for(k=0; k<kmax; k++){
printf("b=%4d ",b[k]);
set_default_prec(b[k]);
rset_d(eps[k],1); rmul_2exp(eps[k],eps[k],-b[k]+tau);
mpfr_printf("2^(-b+tau)=%8.1Re ",eps[k]);
cvec_round(m,y,b[k]);
csolve_newton_map(m,y,x,fF,fJ);
csolve_newton_e_norm(e[k],m,y,x,fF,fJ,bmax*4);
if(rgt(eps[k],e[k])){ printf("> "); }else{ printf("< "); }
mpfr_printf("e=%8.1Re ",e[k]);
rset_d(em[k],1); rmul_2exp(em[k],em[k],-b[k]+tau+kappa);
if(rgt(e[k],em[k])){ printf("> "); }else{ printf("< "); }
mpfr_printf("em=%8.1Re ",em[k]);
rlog2(p[k],e[k]); rsub_d1(p[k],tau,p[k]); rsub_d1(p[k],b[k],p[k]);
mpfr_printf("b-tau+log2(e)=%+6.2Rf ",p[k]);
rlog2(r[k],e[k]); rsub_d1(r[k],tau,r[k]); rdiv_d2(r[k],r[k],b[k]); rsub_d1(r[k],1,r[k]);
mpfr_printf("κ=1-(tau-log2(e))/b=%+.10Rf ",r[k]);
printf("\n");
}
rvec_max(rmax,kmax,p);
mpfr_printf("cancel bits=%+.2Rf\n",rmax);
rvec_max(rmax,kmax,r);
mpfr_printf("κ_max=%+.10Rf\n",rmax);
// done
fJ=func_del(fJ);
b=ivec_free(b);
CVF(y,m); RVF(e,kmax); RVF(eps,kmax); RVF(em,kmax); RVF(r,kmax); RVF(p,kmax); RF(rmax);
}
gsprof *plumgsp(real mtot, real a, int np, real rmin, real rmax)
{
gsprof *gsp;
real *rtab, *dtab, *mtab, lgrs;
int i;
assert(mtot > 0.0 && a > 0.0);
gsp = (gsprof *) allocate(sizeof(gsprof));
rtab = (real *) allocate(np * sizeof(real));
dtab = (real *) allocate(np * sizeof(real));
mtab = (real *) allocate(np * sizeof(real));
lgrs = rlog2(rmax / rmin) / (np - 1);
for (i = 0; i < np; i++) {
rtab[i] = rmin * rexp2(lgrs * i);
dtab[i] = (3 / FOUR_PI) * mtot * a*a /
rpow(rsqr(rtab[i]) + a*a, 2.5);
mtab[i] = mtot * rqbe(rtab[i]) /
rpow(rsqr(rtab[i]) + a*a, 1.5);
}
gsp->npoint = np;
gsp->radius = rtab;
gsp->density = dtab;
gsp->mass = mtab;
gsp->alpha = 0.0;
gsp->beta = -5.0;
gsp->mtot = mtot;
return (gsp);
}
int main(int argc, string argv[])
{
stream istr;
gsprof *tgsp, *mgsp;
real beta_a, *sig2, rrange[2], lgrs, r;
int np, i;
initparam(argv, defv);
istr = stropen(getparam("gsp"), "r");
get_history(istr);
tgsp = get_gsprof(istr);
strclose(istr);
if (! strnull(getparam("grav"))) {
istr = stropen(getparam("grav"), "r");
get_history(istr);
mgsp = get_gsprof(istr);
strclose(istr);
} else
mgsp = tgsp;
beta_a = getdparam("beta_a");
sig2 = calc_sig2_gsp(tgsp, mgsp, beta_a);
np = getiparam("npoint");
setrange(rrange, getparam("rrange"));
lgrs = rlog2(rrange[1] / rrange[0]) / (np - 1);
printf("%12s %12s\n", "radius", "sig_r^2");
for (i = 0; i < np; i++) {
r = rrange[0] * rpow(2.0, lgrs * i);
printf("%12.5f %12.7f\n",
r, sig2_gsp(tgsp, mgsp, beta_a, sig2, r));
}
return (0);
}