Reference documentation for deal.II version Git d9b14c2d54 2019-09-14 18:13:29 -0600
\(\newcommand{\dealcoloneq}{\mathrel{\vcenter{:}}=}\)
Public Member Functions | Static Public Member Functions | Static Private Member Functions | List of all members
Polynomials::Monomial< number > Class Template Reference

#include <deal.II/base/polynomial.h>

Inheritance diagram for Polynomials::Monomial< number >:
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Public Member Functions

 Monomial (const unsigned int n, const double coefficient=1.)
 
- Public Member Functions inherited from Polynomials::Polynomial< number >
 Polynomial (const std::vector< number > &coefficients)
 
 Polynomial (const unsigned int n)
 
 Polynomial (const std::vector< Point< 1 >> &lagrange_support_points, const unsigned int evaluation_point)
 
 Polynomial ()
 
number value (const number x) const
 
void value (const number x, std::vector< number > &values) const
 
void value (const number x, const unsigned int n_derivatives, number *values) const
 
unsigned int degree () const
 
void scale (const number factor)
 
template<typename number2 >
void shift (const number2 offset)
 
Polynomial< number > derivative () const
 
Polynomial< number > primitive () const
 
Polynomial< number > & operator*= (const double s)
 
Polynomial< number > & operator*= (const Polynomial< number > &p)
 
Polynomial< number > & operator+= (const Polynomial< number > &p)
 
Polynomial< number > & operator-= (const Polynomial< number > &p)
 
bool operator== (const Polynomial< number > &p) const
 
void print (std::ostream &out) const
 
template<class Archive >
void serialize (Archive &ar, const unsigned int version)
 
- Public Member Functions inherited from Subscriptor
 Subscriptor ()
 
 Subscriptor (const Subscriptor &)
 
 Subscriptor (Subscriptor &&) noexcept
 
virtual ~Subscriptor ()
 
Subscriptoroperator= (const Subscriptor &)
 
Subscriptoroperator= (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< number > > generate_complete_basis (const unsigned int degree)
 
- Static Public Member Functions inherited from Subscriptor
static ::ExceptionBaseExcInUse (int arg1, std::string arg2, std::string arg3)
 
static ::ExceptionBaseExcNoSubscriber (std::string arg1, std::string arg2)
 

Static Private Member Functions

static std::vector< number > make_vector (unsigned int n, const double coefficient)
 

Additional Inherited Members

- Protected Member Functions inherited from Polynomials::Polynomial< number >
void transform_into_standard_form ()
 
- Static Protected Member Functions inherited from Polynomials::Polynomial< number >
static void scale (std::vector< number > &coefficients, const number factor)
 
template<typename number2 >
static void shift (std::vector< number > &coefficients, const number2 shift)
 
static void multiply (std::vector< number > &coefficients, const number factor)
 
- Protected Attributes inherited from Polynomials::Polynomial< number >
std::vector< number > coefficients
 
bool in_lagrange_product_form
 
std::vector< number > lagrange_support_points
 
number lagrange_weight
 

Detailed Description

template<typename number>
class Polynomials::Monomial< number >

Class generates Polynomial objects representing a monomial of degree n, that is, the function \(x^n\).

Author
Guido Kanschat, 2004

Definition at line 293 of file polynomial.h.

Constructor & Destructor Documentation

◆ Monomial()

template<typename number >
Polynomials::Monomial< number >::Monomial ( const unsigned int  n,
const double  coefficient = 1. 
)

Constructor, taking the degree of the monomial and an optional coefficient as arguments.

Definition at line 678 of file polynomial.cc.

Member Function Documentation

◆ generate_complete_basis()

template<typename number >
std::vector< Polynomial< number > > Polynomials::Monomial< number >::generate_complete_basis ( const unsigned int  degree)
static

Return a vector of Monomial objects of degree 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 686 of file polynomial.cc.

◆ make_vector()

template<typename number >
std::vector< number > Polynomials::Monomial< number >::make_vector ( unsigned int  n,
const double  coefficient 
)
staticprivate

Needed by constructor.

Definition at line 668 of file polynomial.cc.


The documentation for this class was generated from the following files: