void gtmiso(gsl_matrix_complex * Tiso, gsl_complex eiso, double k0, double eta, double diso)
{
double eta2 = pow(eta,2);
gsl_complex rb = gsl_complex_rect(eta2,0);
gsl_complex za = gsl_complex_sub_real(eiso,eta2);
gsl_complex qiso = gsl_complex_sqrt(za);
gsl_complex zb = gsl_complex_mul_real(qiso,k0);
gsl_complex zc = gsl_complex_mul_real(zb,diso);
gsl_complex zd = gsl_complex_div(rb,eiso);
gsl_complex carg = gsl_complex_cos(zc);
gsl_complex sarg = gsl_complex_sin(zc);
gsl_complex i = gsl_complex_rect(0,1);
gsl_complex one = gsl_complex_rect(1,0);
gsl_matrix_complex_set_zero(Tiso);
gsl_matrix_complex_set(Tiso,0,0,carg);
gsl_matrix_complex_set(Tiso,1,1,carg);
gsl_matrix_complex_set(Tiso,2,2,carg);
gsl_matrix_complex_set(Tiso,3,3,carg);
gsl_complex zd1 = gsl_complex_sub(one,zd);
gsl_complex zd2 = eiso;
gsl_complex zd3 = one;
gsl_complex zd4 = gsl_complex_sub_real(eiso,eta2);
gsl_complex zmult1 = gsl_complex_mul(zd1,i);
gsl_complex zmult2 = gsl_complex_mul(zd2,i);
gsl_complex zmult3 = gsl_complex_mul(zd3,i);
gsl_complex zmult4 = gsl_complex_mul(zd4,i);
gsl_complex zdiv1 = gsl_complex_div(zmult1,qiso);
gsl_complex zdiv2 = gsl_complex_div(zmult2,qiso);
gsl_complex zdiv3 = gsl_complex_div(zmult3,qiso);
gsl_complex zdiv4 = gsl_complex_div(zmult4,qiso);
gsl_complex zmult5 = gsl_complex_mul(zdiv1,sarg);
gsl_complex zmult6 = gsl_complex_mul(zdiv2,sarg);
gsl_complex zmult7 = gsl_complex_mul(zdiv3,sarg);
gsl_complex zmult8 = gsl_complex_mul(zdiv4,sarg);
gsl_matrix_complex_set(Tiso,0,1,zmult5);
gsl_matrix_complex_set(Tiso,1,0,zmult6);
gsl_matrix_complex_set(Tiso,2,3,zmult7);
gsl_matrix_complex_set(Tiso,3,2,zmult8);
}
gsl_complex theta1(gsl_complex z, gsl_complex q, gsl_complex q14)
{
int n=0;
gsl_complex accum = gsl_complex_rect(0.0,0.0);
gsl_complex q2 = gsl_complex_mul(q,q);
gsl_complex nextm = gsl_complex_negative(q2);
gsl_complex qpower = gsl_complex_rect(1.0,0.0);
gsl_complex term = gsl_complex_rect(1.0,0.0);
while ((gsl_complex_abs(term) > 2.0*GSL_DBL_EPSILON) && (n < THETA_ITER_MAX)) {
term = gsl_complex_mul(qpower, gsl_complex_sin(gsl_complex_mul_real(z,2*n+1)));
accum = gsl_complex_add(accum, term);
qpower = gsl_complex_mul(qpower, nextm);
nextm = gsl_complex_mul(nextm, q2);
n++;
}
if (n >= THETA_ITER_MAX)
return(gsl_complex_rect(0.0,0.0));
return gsl_complex_mul_real(gsl_complex_mul(q14,accum),2.0);
}
gsl_complex gsl_complex_csc(gsl_complex a)
{ /* z = csc(a) */
gsl_complex z = gsl_complex_sin(a);
return gsl_complex_inverse(z);
}
/** Sine
\ingroup complex
\param[in] z Complex number
\return \f$ \sin z \f$*/
complex sin(const complex& z)
{
return complex(gsl_complex_sin(z.as_gsl_type()));
}