/** Scalar product operator (vector) */
complex vector<complex>::operator*(const vector<complex>& v) const
{
complex z1(0., 0., false);
vector<complex> v1(_vector);
if (gsl_blas_zdotu(v1.as_gsl_type_ptr(), v.as_gsl_type_ptr(), z1.as_gsl_type_ptr())) {
std::cout << "\n Error in vector<complex> *" << std::endl;
exit(EXIT_FAILURE);
}
return z1;
}
static VALUE rb_gsl_blas_zdotu(int argc, VALUE *argv, VALUE obj)
{
gsl_complex *r;
int status;
gsl_vector_complex *x = NULL, *y = NULL;
get_vector_complex2(argc, argv, obj, &x, &y);
r = ALLOC(gsl_complex);
status = gsl_blas_zdotu(x, y, r);
return Data_Wrap_Struct(cgsl_complex, 0, free, r);
}
/**
* C++ version of gsl_blas_zdotu().
* @param X First vector
* @param Y Second vector
* @param dotu Vector product
* @return Error code on failure
*/
int zdotu( vector_complex const& X, vector_complex const& Y, complex* dotu ){
return gsl_blas_zdotu( X.get(), Y.get(), &dotu->get() ); }
double Calculator::getIntensity(double Q)
{
std::complex<double> cppf1, cppf2;
gsl_complex alpha, beta;
gsl_complex gslf1, gslf2;
int s;
double avFactor;
cppf1 = m_sf1->F(0.0, 0.0, Q, m_energy);
cppf2 = m_sf2->F(0.0, 0.0, Q, m_energy);
gslf1 = gsl_complex_rect(cppf1.real(), cppf1.imag());
gslf2 = gsl_complex_rect(cppf2.real(), cppf2.imag());
avFactor = exp(-2.0 / m_N);
alpha = gsl_complex_rect (1.0, 0.0);
beta = gsl_complex_rect (0.0, 0.0);
/*set vector F (scattering factors)*/
gsl_vector_complex_set(F, 0, gslf1);
gsl_vector_complex_set(F, 1, gslf2);
/*set vector conj(F) (scattering factors)*/
gsl_vector_complex_set(Fconj, 0, gsl_complex_conjugate(gslf1));
gsl_vector_complex_set(Fconj, 1, gsl_complex_conjugate(gslf2));
/*set exp matrix*/
setMatrixExp(m_Exp, Q);
/*find W = P * Exp * Ps * conj(F) vector:*/
/* (1) W = alpha * Ps * conj(F) + beta * W */
gsl_blas_zgemv (CblasNoTrans, alpha, m_Ps, Fconj, beta, W);
/*printf("W(1):\n");
gsl_vector_complex_fprintf (stdout, W, "%g");*/
/* (2) W = alpha * Exp * tmp_vec + beta * W */
gsl_blas_zgemv (CblasNoTrans, alpha, m_Exp, W, beta, tmp_vec);
/*printf("W(2):\n");
gsl_vector_complex_fprintf (stdout, tmp_vec, "%g");*/
/* (3) W = alpha * P * tmp_vec + beta * W */
gsl_blas_zgemv (CblasNoTrans, alpha, m_P, tmp_vec, beta, W);
/*Find J0 = F.(Ps * conj(F)) */
gsl_blas_zgemv (CblasNoTrans, alpha, m_Ps, Fconj, beta, tmp_vec);
gsl_blas_zdotu (F, tmp_vec, &J0);
/*alpha = exp(-2 / N)*/
alpha = gsl_complex_rect (avFactor, 0.0);
beta = gsl_complex_rect (0.0, 0.0);
/*find T matrix: T = alpha * P * exp + beta * T*/
gsl_blas_zgemm (CblasNoTrans, CblasNoTrans, alpha, m_P, m_Exp, beta, T);
/*printf("T:\n");
gsl_matrix_complex_fprintf (stdout, T, "%g");*/
/*Find Jns = F. (G * W) */
/*tmp_mat = I */
gsl_matrix_complex_set_identity (tmp_mat);
/*tmp_mat = I - T */
gsl_matrix_complex_sub (tmp_mat, T);
/*LU decomposition*/
gsl_linalg_complex_LU_decomp(tmp_mat, perm, &s);
/*calculate product G * W = (I - T)^(-1) W directly using LU decomposition*/
gsl_linalg_complex_LU_solve (tmp_mat, perm, W, tmp_vec);
/*calculate F.(G * W)*/
gsl_blas_zdotu (F, tmp_vec, &Jns);
/*Find Js = F.(G^2 * (I - T^N) * W) however, this term should be negligible*/
/*result = N *(2 * Jns + J0) - Js */
alpha = gsl_complex_mul_real (Jns, 2.0 * avFactor);
alpha = gsl_complex_add (alpha, J0);
return m_N * m_I0 * GSL_REAL(alpha) * getPLGfactor(getTheta(Q)) + m_Ibg;
}
