1 #include "rheolef/compiler.h"
22 #include "rheolef/gamma.h"
23 #include "rheolef/jacobi.h"
24 #include "rheolef/jacobi_roots.h"
27 template <
class Size,
class OutputIterator1,
class OutputIterator2>
29 typename std::iterator_traits<OutputIterator1>::value_type
alpha,
30 typename std::iterator_traits<OutputIterator1>::value_type
beta,
31 OutputIterator1 zeta, OutputIterator2 omega)
33 typedef typename std::iterator_traits<OutputIterator1>::value_type
T;
34 check_macro (R >= 2,
"gauss_lobatto_jacobi: node number " << R <<
" may be >= 2");
40 w0 *= 1/(
T(R-1.)*(
alpha+R));
41 wf *= 1/(
T(R-1.)*(
beta+R));
42 for (Size k = 1; k <= size_t(static_cast<int>(
beta)); k++) {
43 num *=
T(1.*R+k)/(
alpha+
T(1.*R+k));
44 w0 *=
T(sqr(
int(k)))/(
T(1.*R-1+k)*(
alpha+R+k));
46 for (Size k = 1; k <= size_t(static_cast<int>(
alpha)); k++) {
47 wf *=
T(sqr(
int(k)))/(
T(1.*R-1+k)*(
beta+
T(1.*R+k)));
61 for (Size r = 1; r < R-1; ++r)
62 omega[r] = num/sqr(P1(zeta[r]));
check_macro(expr1.have_homogeneous_space(Xh1), "dual(expr1,expr2); expr1 should have homogeneous space. HINT: use dual(interpolate(Xh, expr1),expr2)")
Float alpha[pmax+1][pmax+1]
This file is part of Rheolef.
void gauss_lobatto_jacobi(Size R, typename std::iterator_traits< OutputIterator1 >::value_type alpha, typename std::iterator_traits< OutputIterator1 >::value_type beta, OutputIterator1 zeta, OutputIterator2 omega)
space_mult_list< T, M > pow(const space_basic< T, M > &X, size_t n)
void jacobi_roots(Size R, T alpha, T beta, OutputIterator zeta)