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

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

z	Matrix of elevations.
e	Distance.

Member Function Documentation

Gradient()

Vector2 QuadricSurface::Gradient

(

const Vector2 &

p

)

const

Compute gradient.

Parameters

p

Point.

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.