Reference documentation for deal.II version 9.2.0
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#include <deal.II/base/polynomial.h>
Public Member Functions | |
Legendre (const unsigned int p) | |
Public Member Functions inherited from Polynomials::Polynomial< double > | |
Polynomial (const std::vector< double > &coefficients) | |
Polynomial (const unsigned int n) | |
Polynomial (const std::vector< Point< 1 >> &lagrange_support_points, const unsigned int evaluation_point) | |
Polynomial () | |
double | value (const double x) const |
void | value (const double x, std::vector< double > &values) const |
void | value (const double x, const unsigned int n_derivatives, double *values) const |
unsigned int | degree () const |
void | scale (const double factor) |
void | shift (const number2 offset) |
Polynomial< double > | derivative () const |
Polynomial< double > | primitive () const |
Polynomial< double > & | operator*= (const double s) |
Polynomial< double > & | operator*= (const Polynomial< double > &p) |
Polynomial< double > & | operator+= (const Polynomial< double > &p) |
Polynomial< double > & | operator-= (const Polynomial< double > &p) |
bool | operator== (const Polynomial< double > &p) const |
void | print (std::ostream &out) const |
void | serialize (Archive &ar, const unsigned int version) |
virtual std::size_t | memory_consumption () const |
Public Member Functions inherited from Subscriptor | |
Subscriptor () | |
Subscriptor (const Subscriptor &) | |
Subscriptor (Subscriptor &&) noexcept | |
virtual | ~Subscriptor () |
Subscriptor & | operator= (const Subscriptor &) |
Subscriptor & | operator= (Subscriptor &&) noexcept |
void | subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const |
void | unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const |
unsigned int | n_subscriptions () const |
template<typename StreamType > | |
void | list_subscribers (StreamType &stream) const |
void | list_subscribers () const |
template<class Archive > | |
void | serialize (Archive &ar, const unsigned int version) |
Static Public Member Functions | |
static std::vector< Polynomial< double > > | generate_complete_basis (const unsigned int degree) |
Static Public Member Functions inherited from Subscriptor | |
static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
Additional Inherited Members | |
Protected Member Functions inherited from Polynomials::Polynomial< double > | |
void | transform_into_standard_form () |
Static Protected Member Functions inherited from Polynomials::Polynomial< double > | |
static void | scale (std::vector< double > &coefficients, const double factor) |
static void | shift (std::vector< double > &coefficients, const number2 shift) |
static void | multiply (std::vector< double > &coefficients, const double factor) |
Protected Attributes inherited from Polynomials::Polynomial< double > | |
std::vector< double > | coefficients |
bool | in_lagrange_product_form |
std::vector< double > | lagrange_support_points |
double | lagrange_weight |
Legendre polynomials of arbitrary degree. Constructing a Legendre polynomial of degree p
, the roots will be computed by the Gauss formula of the respective number of points and a representation of the polynomial by its roots.
Definition at line 403 of file polynomial.h.
Polynomials::Legendre::Legendre | ( | const unsigned int | p | ) |
Constructor for polynomial of degree p
.
Definition at line 850 of file polynomial.cc.
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Return a vector of Legendre polynomial objects of degrees zero through degree
, which then spans the full space of polynomials up to the given degree. This function may be used to initialize the TensorProductPolynomials and PolynomialSpace classes.
Definition at line 877 of file polynomial.cc.