20 #include "headcpp.hpp"
22 #include "spheric_symphi.hpp"
23 #include "val_domain.hpp"
24 #include "array_math.hpp"
26 int mult_cos_1d (
int, Array<double>&) ;
27 int mult_sin_1d (
int, Array<double>&) ;
28 int div_sin_1d (
int, Array<double>&) ;
29 int div_cos_1d (
int, Array<double>&) ;
30 int mult_x_1d (
int, Array<double>&) ;
31 int div_xp1_1d (
int, Array<double>&) ;
32 int div_xm1_1d (
int, Array<double>&) ;
33 int mult_xm1_1d (
int, Array<double>&) ;
34 int div_1mx2_1d (
int, Array<double>&) ;
159 cerr <<
"Unknown variable in Domain_compact_symphi::der_partial_var" << endl ;
177 assert(baset==SIN_ODD) ;
182 assert (baser==CHEB) ;
189 val += 2./(2.*j+1) * integral_1d(CHEB, cf) ;
192 return val * 2*M_PI ;
reference set(const Index &pos)
Read/write of an element.
Bases_container bases_1d
Arrays containing the various basis of decomposition.
Array< double > ope_1d(int(*function)(int, Array< double > &), int var, const Array< double > &so, Base_spectral &base) const
One-dimensional operator acting in the coefficient space.
virtual Val_domain mult_cos_phi(const Val_domain &) const
Multiplication by .
double alpha
Relates the numerical to the physical radii.
virtual Val_domain div_xm1(const Val_domain &) const
Division by .
virtual Val_domain mult_sin_theta(const Val_domain &) const
Multiplication by .
virtual Val_domain div_cos_theta(const Val_domain &) const
Division by .
virtual Val_domain der_partial_var(const Val_domain &, int) const
Partial derivative with respect to a coordinate.
virtual Val_domain mult_cos_theta(const Val_domain &) const
Multiplication by .
virtual Val_domain div_sin_theta(const Val_domain &) const
Division by .
virtual Val_domain der_r(const Val_domain &) const
Compute the radial derivative of a scalar field.
virtual double integ_volume(const Val_domain &so) const
Volume integral.
virtual Val_domain mult_xm1(const Val_domain &) const
Multiplication by .
virtual Val_domain mult_r(const Val_domain &) const
Multiplication by .
virtual Val_domain mult_sin_phi(const Val_domain &) const
Multiplication by .
virtual Val_domain div_r(const Val_domain &) const
Division by .
virtual Val_domain der_r_rtwo(const Val_domain &) const
Compute the radial derivative multiplied by of a scalar field.
Dim_array nbr_coefs
Number of coefficients.
Class that gives the position inside a multi-dimensional Array.
int & set(int i)
Read/write of the position in a given dimension.
Class for storing the basis of decompositions of a field and its values on both the configuration and...
Base_spectral base
Spectral basis of the field.
bool check_if_zero() const
Check whether the logical state is zero or not.
Array< double > * cf
Pointer on the Array of the values in the coefficients space.
Val_domain mult_xm1() const
Multiplication by .
bool in_coef
Is the field known in the coefficient space ?
void coef() const
Computes the coefficients.
Val_domain der_var(int i) const
Computes the derivative with respect to a numerical coordinate.
Array< double > get_coef() const
const Base_spectral & get_base() const
Returns the basis of decomposition.