AMCAX::Sphere Class Reference

Class of sphere. More...

#include <math/Sphere.hpp>

Inheritance diagram for AMCAX::Sphere:

Collaboration diagram for AMCAX::Sphere:

Public Member Functions
	Sphere ()=default
	Default constructor.
AMCAX_API	Sphere (const Frame3 &frame, double r)
	Construct from a local frame and a radius. More...
AMCAX_API void	SetRadius (double r)
	Set the radius. More...
AMCAX_API void	UReverse ()
	Reverse the u parameter.
AMCAX_API void	VReverse ()
	Reverse the v parameter.
AMCAX_API double	Area () const
	Get the area of the sphere. More...
AMCAX_API void	Coefficients (double &a1, double &a2, double &a3, double &b1, double &b2, double &b3, double &c1, double &c2, double &c3, double &d) const
	Get the coefficients of the algebraic representation of the sphere. More...
AMCAX_API double	Radius () const
	Get the radius. More...
AMCAX_API double	Volume () const
	Get the volume of the ball bounded by the sphere. More...
AMCAX_API Sphere &	Scale (const Point3 &point, double scale)
	Scale the sphere by a point. More...
AMCAX_API Sphere &	Transform (const Transformation3 &tr)
	Transform the sphere. More...
Public Member Functions inherited from AMCAX::SurfaceBase< Sphere >
void	SetLocation (const Point3 &p)
	Set the location. More...
void	SetPosition (const Frame3 &frame)
	Set the local frame. More...
void	SetAxis (const Axis3 &axis)
	Set the main axis (normal axis) of the local frame in 3D. More...
Axis3	Axis () const
	Get the main axis (normal axis) More...
const Point3 &	Location () const
	Get the location point. More...
const Frame3 &	Position () const
	Get the local frame. More...
Axis3	XAxis () const
	Get the x axis. More...
Axis3	YAxis () const
	Get the y axis. More...
bool	IsDirect () const
	Determine whether the local frame is right-handed or not. More...
Sphere &	Mirror (const Point3 &p)
	Mirror the surface by a point. More...
Sphere &	Mirror (const Axis3 &axis)
	Mirror the surface by an axis. More...
Sphere &	Mirror (const Frame3 &frame)
	Mirror the surface by a frame. More...
Sphere	Mirrored (const Point3 &p) const
	Get the surface mirrored by a point. More...
Sphere	Mirrored (const Axis3 &axis) const
	Get the surface mirrored by an axis. More...
Sphere	Mirrored (const Frame3 &frame) const
	Get the surface mirrored by a frame. More...
Sphere &	Rotate (const Axis3 &axis, double angle)
	Rotate the surface around an axis with an angle in 3D. More...
Sphere	Rotated (const Axis3 &axis, double angle) const
	Get the surface rotated around an axis with an angle in 3D. More...
Sphere &	Scale (const Point3 &point, double scale)
	Scale the surface by a center point. More...
Sphere	Scaled (const Point3 &point, double scale) const
	Get the surface scaled by a center point. More...
Sphere &	Transform (const Transformation3 &tr)
	Transform the surface. More...
Sphere	Transformed (const Transformation3 &tr) const
	Get the transformed surface. More...
Sphere &	Translate (const Vector3 &vec)
	Translate the surface by a vector. More...
Sphere &	Translate (const Point3 &p1, const Point3 &p2)
	Translate the surface by a vector from a source point to a target point. More...
Sphere	Translated (const Vector3 &vec) const
	Get the surface translated by a vector. More...
Sphere	Translated (const Point3 &p1, const Point3 &p2) const
	Get the surface translated by a vector from a source point to a target point. More...

Additional Inherited Members
Protected Member Functions inherited from AMCAX::SurfaceBase< Sphere >
	SurfaceBase ()=default
	Default constructor.
	SurfaceBase (const Frame3 &frame)
	Construct from a frame. More...
Sphere &	_derived ()
	Cast to derived class. More...
const Sphere &	_derived () const
	Cast to derived class. More...
Protected Attributes inherited from AMCAX::SurfaceBase< Sphere >
Frame3	pos
	The local coordinate system.

Detailed Description

Class of sphere.

Constructor & Destructor Documentation

Sphere()

AMCAX_API AMCAX::Sphere::Sphere	(	const Frame3 &	frame,
		double	r
	)

Construct from a local frame and a radius.

Parameters

frame	The local frame
r	The radius

Member Function Documentation

Area()

AMCAX_API double AMCAX::Sphere::Area

(

)

const

Get the area of the sphere.

Returns

The area of the sphere

Coefficients()

AMCAX_API void AMCAX::Sphere::Coefficients	(	double &	a1,
		double &	a2,
		double &	a3,
		double &	b1,
		double &	b2,
		double &	b3,
		double &	c1,
		double &	c2,
		double &	c3,
		double &	d
	)		const

Get the coefficients of the algebraic representation of the sphere.

The algebraic representation of the sphere is a_1 x^2 + a_2 y^2 + a_3 z^2 + 2 (b_1 xy + b_2 xz + b_3 yz) + 2 (c_1 x + c_2 y + c_3 z) + d = 0

Parameters

[out]

a1,a2,a3,b1,b2,b3,c1,c2,c3,d

The coefficients

Radius()

AMCAX_API double AMCAX::Sphere::Radius

(

)

const

Get the radius.

Returns

The radius

Scale()

AMCAX_API Sphere & AMCAX::Sphere::Scale	(	const Point3 &	point,
		double	scale
	)

Scale the sphere by a point.

Parameters

point	The scaling center point
scale	The scale value

Returns

The reference to self

SetRadius()

AMCAX_API void AMCAX::Sphere::SetRadius

(

double

r

)

Set the radius.

Parameters

r	The radius

Transform()

AMCAX_API Sphere & AMCAX::Sphere::Transform

(

const Transformation3 &

tr

)

Transform the sphere.

Parameters

tr	The transformation

Returns

The reference to self

Volume()

AMCAX_API double AMCAX::Sphere::Volume

(

)

const

Get the volume of the ball bounded by the sphere.

Returns

The volume of the ball

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

• math/Sphere.hpp