BSpline Class Reference

#include <BSpline.h>

Inheritance diagram for BSpline:

Collaboration diagram for BSpline:

Public Member Functions
	BSpline (vec, uword, field< vec > &&={})
	BSpline (const BSpline &)=default
	BSpline (BSpline &&)=default
BSpline &	operator= (const BSpline &)=delete
BSpline &	operator= (BSpline &&)=delete
virtual	~BSpline ()=default
void	set_control_polygon (field< vec > &&)
void	set_control_polygon (const field< vec > &)
const vec &	get_knot () const
uword	get_order () const
uword	get_number_of_control_points () const
uvec	get_all_element_span () const
uword	evaluate_span (double) const
	Algorithm A2.1. More...
vec	evaluate_basis (double, sword=-1) const
	Algorithm A2.2. More...
mat	evaluate_basis_derivative (double, sword=-1, sword=-1) const
	Algorithm A2.3. More...
vec	evaluate_point (double) const
field< vec >	evaluate_point_derivative (double, sword=-1) const
vec	evaluate_shape_function (double) const
field< vec >	evaluate_shape_function_derivative (double, sword=-1) const
virtual vec	evaluate_point (double, const field< vec > &) const
	Algorithm A3.1. More...
virtual field< vec >	evaluate_point_derivative (double, const field< vec > &, sword=-1) const
	Algorithm A3.2. More...
virtual vec	evaluate_shape_function (double, const field< vec > &) const
virtual field< vec >	evaluate_shape_function_derivative (double, const field< vec > &, sword=-1) const

Protected Attributes
const uword	dimension
const vec	knot
field< vec >	net
const uword	order = IGA::compute_order(knot)

Constructor & Destructor Documentation

BSpline() [1/3]

BSpline::BSpline	(	vec	K,
		uword	S,
		field< vec > &&	N = {}
	)

BSpline() [2/3]

BSpline::BSpline ( const BSpline &  )

default

BSpline() [3/3]

BSpline::BSpline ( BSpline &&  )

default

~BSpline()

virtual BSpline::~BSpline ( )

virtualdefault

Member Function Documentation

evaluate_basis()

vec BSpline::evaluate_basis	(	double	u,
		sword	p = -1
	)		const

Algorithm A2.2.

Parameters

u	parameter
p	degree

Returns

basis function

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evaluate_basis_derivative()

mat BSpline::evaluate_basis_derivative	(	double	u,
		sword	n = -1,
		sword	p = -1
	)		const

Algorithm A2.3.

Parameters

u	parameter
n	order
p	degree

Returns

derivative of basis function

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evaluate_point() [1/2]

vec BSpline::evaluate_point

(

double

u

)

const

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evaluate_point() [2/2]

vec BSpline::evaluate_point ( double  u, const field< vec > &  polygon  ) const

virtual

Algorithm A3.1.

Parameters

u	parameter
polygon	control net polygon

Returns

vector contains location of point

Reimplemented in NURBS.

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evaluate_point_derivative() [1/2]

field< vec > BSpline::evaluate_point_derivative ( double  u, const field< vec > &  polygon, sword  du = -1  ) const

virtual

Algorithm A3.2.

Parameters

u	parameter
polygon	control net polygon
du	degree

Returns

matrix contains derivatives arranged in the following layout | 0th derivative | 1st derivative | 2nd derivative | ... | | x component | x component | x component | ... | | y component | y component | y component | ... | | ... | ... | ... | ... |

Reimplemented in NURBS.

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evaluate_point_derivative() [2/2]

field< vec > BSpline::evaluate_point_derivative	(	double	u,
		sword	du = -1
	)		const

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evaluate_shape_function() [1/2]

vec BSpline::evaluate_shape_function

(

double

u

)

const

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evaluate_shape_function() [2/2]

vec BSpline::evaluate_shape_function ( double  u, const field< vec > &    ) const

virtual

Reimplemented in NURBS.

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evaluate_shape_function_derivative() [1/2]

field< vec > BSpline::evaluate_shape_function_derivative ( double  u, const field< vec > &  , sword  du = -1  ) const

virtual

Reimplemented in NURBS.

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evaluate_shape_function_derivative() [2/2]

field< vec > BSpline::evaluate_shape_function_derivative	(	double	u,
		sword	du = -1
	)		const

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evaluate_span()

uword BSpline::evaluate_span

(

double

u

)

const

Algorithm A2.1.

Parameters

u

parameter

Returns

span index

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get_all_element_span()

uvec BSpline::get_all_element_span

(

)

const

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get_knot()

const vec & BSpline::get_knot

(

)

const

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get_number_of_control_points()

uword BSpline::get_number_of_control_points

(

)

const

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get_order()

uword BSpline::get_order

(

)

const

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operator=() [1/2]

BSpline & BSpline::operator= ( BSpline &&  )

delete

operator=() [2/2]

BSpline & BSpline::operator= ( const BSpline &  )

delete

set_control_polygon() [1/2]

void BSpline::set_control_polygon

(

const field< vec > &

N

)

set_control_polygon() [2/2]

void BSpline::set_control_polygon

(

field< vec > &&

N

)

Member Data Documentation

dimension

const uword BSpline::dimension

protected

knot

const vec BSpline::knot

protected

net

field<vec> BSpline::net

protected

order

const uword BSpline::order = IGA::compute_order(knot)

protected

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

• Element/Utility/IGA/BSpline.h
• Element/Utility/IGA/BSpline.cpp