QuadricSurface Class Reference

Quadric surfaces. More...

#include <quadricsurface.h>

Public Member Functions
	QuadricSurface (const double &, const double &, const double &, const double &, const double &, const double &, const double &, const double &, const double &)
	Create a quadric surface.
	QuadricSurface (const Matrix &, const double &=1.0)
	Create a quadric surface from elevations.
double	Value (const Vector2 &) const
	Compute the value.
Vector2	Gradient (const Vector2 &) const
	Compute gradient.
Vector2	Normal (const Vector2 &) const
	Compute normal.
QuadricSurface	operator/ (double) const
	Overloaded operator.
QuadricSurface	operator* (double) const
	Overloaded operator.
QuadricSurface	operator+ (const QuadricSurface &) const
	Overloaded operator.
QuadricSurface	operator- (const QuadricSurface &) const
	Overloaded operator.
QuadricSurface	Translated (const Vector2 &) const
	Translate a quadric surface.
QuadricSurface	Scaled (const double &) const
	Scale a quadric surface.
double	operator() (int, int) const
	Return the coefficient.
double &	operator() (int, int)
	Return the coefficient.

Protected Member Functions
constexpr const int	Index (int, int) const
	Return the index of the coefficient xa yb

Protected Attributes
double	c [9] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }
	Quadric coefficients.

Detailed Description

Quadric surfaces.

Constructor & Destructor Documentation

QuadricSurface() [1/2]

QuadricSurface::QuadricSurface ( const double & a22, const double & a21, const double & a12, const double & a20, const double & a02, const double & a11, const double & a10, const double & a01, const double & a00 )

explicit

Create a quadric surface.

z=a22 x²y² + a21 x²y + a21 xy² + a20 x² + a02 y² + a11 xy + a10 x + a01 y + a00.

QuadricSurface() [2/2]

QuadricSurface::QuadricSurface ( const Matrix & m, const double & e = 1.0 )

explicit

Create a quadric surface from elevations.

Parameters

m	Matrix of elevations.
e	Distance.

Member Function Documentation

Gradient()

Vector2 QuadricSurface::Gradient

(

const Vector2 &

p

)

const

Compute gradient.

Parameters

p

Point.

Index()

const int QuadricSurface::Index ( int a, int b ) const

inlineconstexprprotected

Return the index of the coefficient x^a y^b

Parameters

a,b	Exponents.

Normal()

Vector2 QuadricSurface::Normal

(

const Vector2 &

p

)

const

Compute normal.

Parameters

p

Point.

operator()() [1/2]

double & QuadricSurface::operator() ( int i, int j )

inline

Return the coefficient.

Parameters

i,j	Coefficient indexes.

operator()() [2/2]

double QuadricSurface::operator() ( int i, int j ) const

inline

Return the coefficient.

Parameters

i,j	Coefficient indexes.

operator*()

QuadricSurface QuadricSurface::operator* ( double a ) const

inline

Overloaded operator.

Parameters

a

Real.

operator+()

QuadricSurface QuadricSurface::operator+ ( const QuadricSurface & q ) const

inline

Overloaded operator.

Parameters

q	Quadric surface.

operator-()

QuadricSurface QuadricSurface::operator- ( const QuadricSurface & q ) const

inline

Overloaded operator.

Parameters

q	Quadric surface.

operator/()

QuadricSurface QuadricSurface::operator/ ( double a ) const

inline

Overloaded operator.

Parameters

a

Real.

Scaled()

QuadricSurface QuadricSurface::Scaled

(

const double &

s

)

const

Scale a quadric surface.

Parameters

s	Scaling coefficient.

Translated()

QuadricSurface QuadricSurface::Translated

(

const Vector2 &

t

)

const

Translate a quadric surface.

Parameters

t	Translation vector.

Value()

double QuadricSurface::Value ( const Vector2 & p ) const

inline

Compute the value.

Parameters

p

Point.