qugar::impl::funcs::ConstantBzr< dim > Class Template Reference

Dimension independent constant function. More...

#include <primitive_funcs_lib.hpp>

Inheritance diagram for qugar::impl::funcs::ConstantBzr< dim >:

Collaboration diagram for qugar::impl::funcs::ConstantBzr< dim >:

Public Member Functions
	ConstantBzr ()
	Default constructor. Sets constant value to 0.5.
	ConstantBzr (real value)
	Constructor.
Public Member Functions inherited from qugar::impl::funcs::ConstantBase
	ConstantBase (real value)
	Constructor.
real	value () const
	Gets the constant value.
Public Member Functions inherited from qugar::impl::BezierTP< dim, 1 >
	BezierTP (const TensorSizeTP< dim > &order)
	Constructor.
	BezierTP (const TensorSizeTP< dim > &order, const CoefsType &value)
	Constructs a constant value Bezier tensor product.
	BezierTP (const TensorSizeTP< dim > &order, const std::vector< CoefsType > &coefs)
	Constructor.
	BezierTP (const BezierTP< dim, range > &bezier)
	Copy constructor.
	BezierTP (const MonomialsTP< dim, range > &monomials)
	Constructor.
virtual Value< real >	operator() (const Point< dim > &point) const final
	Evaluator operator.
virtual Value< Interval< dim > >	operator() (const Point< dim, Interval< dim > > &point) const final
	Evaluator operator.
virtual Gradient< real >	grad (const Point< dim > &point) const final
	Gradient evaluator operator.
virtual Gradient< Interval< dim > >	grad (const Point< dim, Interval< dim > > &point) const final
	Gradient evaluator operator.
virtual Hessian< real >	hessian (const Point< dim > &point) const final
	Hessian evaluator operator.
const ::algoim::xarray< CoefsType, dim > &	get_xarray () const
	Gets a constant reference to the stored xarray view of the polynomial coefficients.
std::shared_ptr< BezierTP< dim - 1, range > >	extract_facet (const int local_facet_id) const
std::shared_ptr< BezierTP< dim, range > >	raise_order (const TensorSizeTP< dim > &new_order) const
	Raises the order of the Bezier tensor product.
std::shared_ptr< BezierTP< dim, range > >	negate () const
	Creates a new Bezier tensor product (TP) object that is the negation of the current object.
void	rescale_domain (const BoundBox< dim > &new_domain)
	Recomputes (in-place) the Bezier coefficients for a new domain (that may not be [0, 1]).
FuncSign	sign () const
	Returns the sign of the function represented by the Bézier tensor-product using the properties of the control points convex hull.
std::shared_ptr< BezierTP< dim, range > >	operator* (const BezierTP< dim, range > &rhs) const
	Product of two Beziers.
std::shared_ptr< BezierTP< dim, range > >	operator+ (const BezierTP< dim, range > &rhs) const
	Addition of two Beziers.
std::shared_ptr< BezierTP< dim, range > >	operator- (const BezierTP< dim, range > &rhs) const
	Subtraction of two Beziers.
std::shared_ptr< BezierTP< sub_dim, range > >	compose (const BezierTP< sub_dim, dim > &rhs) const
	Composes the current Bezier with the given Bezier rhs.
Public Member Functions inherited from qugar::impl::PolynomialTP< dim, range >
	PolynomialTP (const TensorSizeTP< dim > &order)
	Constructor.
	PolynomialTP (const TensorSizeTP< dim > &order, const CoefsType &value)
	Constructs a constant value PolynomialTP object with the specified order.
	PolynomialTP (const TensorSizeTP< dim > &order, const std::vector< CoefsType > &coefs)
	Constructor.
std::size_t	get_num_coefs () const
	Get the number of coeficients.
const std::vector< CoefsType > &	get_coefs () const
	Gets the polynomial coefficients.
const TensorSizeTP< dim > &	get_order () const
	Gets the polynomial order along the parametric directions.
int	get_order (int dir) const
	Gets the polynomial order (degree + 1) along the direction dir.
const CoefsType &	get_coef (int index) const
	Retrieves the coefficients at the specified index.
CoefsType &	get_coef (int index)
	Retrieves the coefficients at the specified index.
const CoefsType &	get_coef (const TensorIndexTP< dim > &index) const
	Retrieves the coefficient associated with the given tensor index.
CoefsType &	get_coef (const TensorIndexTP< dim > &index)
	Retrieves the coefficient associated with the given tensor index.
int	get_degree (int dir) const
	Gets the polynomial degree (order - 1) along the direction dir.
void	transform_image (const BoundBox< range > &old_domain, const BoundBox< range > &new_domain)
	Transforms (in place) the coefficients of the polynomial from old_domain to new_domain.
void	coefs_linear_transform (const real scale, const CoefsType &shift)
	Applies a linear transformation to every coefficient.
Public Member Functions inherited from qugar::impl::DomainFunc< dim, range >
	DomainFunc ()=default
	Default constructor.
	DomainFunc (const DomainFunc &)=default
	Default copy constructor.
	DomainFunc (DomainFunc &&)=default
	Default move constructor.
DomainFunc &	operator= (const DomainFunc &)=default
	Default copy assignment operator.
DomainFunc &	operator= (DomainFunc &&)=default
	Default move assignment operator.
virtual	~DomainFunc ()=default
	Default virtual destructor.

Additional Inherited Members
Public Types inherited from qugar::impl::BezierTP< dim, 1 >
using	Parent
	Parent type.
using	CoefsType
	Coefs type.
using	Value
	Value type.
using	Gradient
	Gradient type.
using	Hessian
	Hessian type.
using	Interval
	Algoim's interval alias.
Public Types inherited from qugar::impl::PolynomialTP< dim, range >
using	CoefsType = std::conditional_t<range == 1, real, Point<range>>
	Coefs type.
Public Types inherited from qugar::impl::DomainFunc< dim, range >
template<int N>
using	Interval = ::algoim::Interval<N>
	Algoim's interval alias.
template<typename T >
using	Value = std::conditional_t<range == 1, T, Vector<T, range>>
	Value type.
template<typename T >
using	Gradient = Vector<Value<T>, dim>
	Gradient type.
template<typename T >
using	Hessian = Vector<Value<T>, num_hessian>
	Hessian (symmetric type).
Static Public Member Functions inherited from qugar::impl::BezierTP< dim, 1 >
static Value< T >	casteljau (const Point< dim, T > &point, typename std::vector< CoefsType >::const_iterator &coefs, const Vector< int, dim > &order)
	Evaluates a Bezier polynomial using the Casteljau's algorithm.
static Vector< Value< T >, dim+1 >	casteljau_der (const Point< dim, T > &point, typename std::vector< CoefsType >::const_iterator &coefs, const Vector< int, dim > &order)
	Evaluates the gradient Bezier polynomial using the Casteljau's algorithm.
Static Public Attributes inherited from qugar::impl::funcs::ConstantBase
static constexpr real	default_value = numbers::half
Static Public Attributes inherited from qugar::impl::DomainFunc< dim, range >
static const int	num_hessian = dim * (dim + 1) / 2
	Number of Hessian (symmetric) components.
Protected Attributes inherited from qugar::impl::funcs::ConstantBase
real	value_ { 0.0 }
	Constant value.
Protected Attributes inherited from qugar::impl::PolynomialTP< dim, range >
TensorSizeTP< dim >	order_
	Order of the polynomial along each parametric direction.
std::vector< CoefsType >	coefs_

Detailed Description

template<int dim>
class qugar::impl::funcs::ConstantBzr< dim >

Dimension independent constant function.

Template Parameters

dim	Parametric dimension.

Note

Bezier version.

Constructor & Destructor Documentation

ConstantBzr() [1/2]

template<int dim>

qugar::impl::funcs::ConstantBzr< dim >::ConstantBzr

(

)

Default constructor. Sets constant value to 0.5.

ConstantBzr() [2/2]

template<int dim>

qugar::impl::funcs::ConstantBzr< dim >::ConstantBzr ( real value )

explicit

Constructor.

Parameters

value

Constant value.

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

• /__w/qugar/qugar/cpp/include/qugar/primitive_funcs_lib.hpp