A general quadric a 3D space. More...

#include <bayeux/geomtools/quadric.h>

Inheritance diagram for geomtools::quadric:

Public Types
enum	coef_index { A = 9, B = 8, C = 7, D = 6, E = 5, F = 4, G = 3, H = 2, I = 1, J = 0, NCOEFFS = 10 }

Public Types inherited from geomtools::i_shape_2d
enum	faces_mask_type { FACE_NONE = face_identifier::FACE_BITS_NONE, FACE_UNIQUE = datatools::bit_mask::bit00, FACE_UP = FACE_UNIQUE, FACE_DOWN = datatools::bit_mask::bit01, FACE_ALL = FACE_UNIQUE }
	The up/down identifier of the face. More...

Public Types inherited from geomtools::i_object_3d
enum	dimensional_type { DIMENSIONAL_0 = 0, DIMENSIONAL_1 = 1, DIMENSIONAL_2 = 2, DIMENSIONAL_3 = 3 }
	Known dimensions. More...

typedef datatools::handle< i_object_3d >	handle_type
	A handle to a 3D object. More...

typedef std::map< std::string, object_entry >	handle_dict_type
	Dictionary of handle of 3D object entries. More...

Public Types inherited from datatools::i_tree_dumpable
enum	ostream_type { OSTREAM_COUT = 1, OSTREAM_CERR = 2, OSTREAM_CLOG = 3 }
	Enumeration for standard output streams. More...

Public Types inherited from geomtools::i_wires_3d_rendering
enum	wires_rendering_option_type { WR_NONE = 0, WR_BASE_GRID = datatools::bit_mask::bit00, WR_BASE_GRID_LOW_DENSITY = (WR_BASE_GRID << 1), WR_BASE_GRID_HIGH_DENSITY = (WR_BASE_GRID << 2), WR_BASE_GRID_VERY_HIGH_DENSITY = (WR_BASE_GRID << 3), WR_BASE_GRID_HUGE_DENSITY = (WR_BASE_GRID << 4), WR_BASE_LOW_ANGLE_SAMPLING = (WR_BASE_GRID << 5), WR_BASE_HIGH_ANGLE_SAMPLING = (WR_BASE_GRID << 6), WR_BASE_VERY_HIGH_ANGLE_SAMPLING = (WR_BASE_GRID << 7), WR_BASE_HUGE_ANGLE_SAMPLING = (WR_BASE_GRID << 8), WR_BASE_UNUSED_09 = (WR_BASE_GRID << 9), WR_BASE_UNUSED_10 = (WR_BASE_GRID << 10), WR_BASE_UNUSED_11 = (WR_BASE_GRID << 11), WR_BASE_UNUSED_12 = (WR_BASE_GRID << 12), WR_BASE_UNUSED_13 = (WR_BASE_GRID << 13), WR_BASE_BOUNDINGS = (WR_BASE_GRID << 14), WR_BASE_EXPLODE = (WR_BASE_GRID << 15), WR_BASE_LAST = (WR_BASE_EXPLODE), WR_BASE_MASK = datatools::bit_mask::nbits16 }
	Wires rendering optional flags. More...

enum	sampling_level_type { SL_NONE = 0, SL_LOW = 1, SL_NORMAL = 2, SL_HIGH = 3, SL_VERY_HIGH = 4, SL_HUGE = 5 }
	Sampling levels. More...

Public Member Functions
virtual std::string	get_shape_name () const
	Return the shape name. More...

bool	is_valid () const
	Check if the plane is valid. More...

void	initialize (const datatools::properties &, const handle_dict_type *=0)
	Initialize from properties and a dictionary of 3D-objects. More...

void	reset ()
	Reset. More...

	quadric ()
	Default constructor. More...

void	set_coefficient (coef_index, double)
	Set the coefficient at given rank. More...

double	get_coefficient (coef_index) const
	Return the coefficient at given rank. More...

virtual double	eval_f (double x_, double y_, double z_) const
	Compute the quadric formula f(x,y,z) at given 3D point. More...

virtual double	eval_dfdx (double x_, double y_, double z_) const
	Compute the quadric df/dx derivative at given 3D point. More...

virtual double	eval_dfdy (double x_, double y_, double z_) const
	Compute the quadric df/dy derivative at given 3D point. More...

virtual double	eval_dfdz (double x_, double y_, double z_) const
	Compute the quadric df/dz derivative at given 3D point. More...

void	eval_gradient (double x_, double y_, double z_, double &dfdx_, double &dfdy_, double &dfdz_) const
	Compute the quadric gradient (df/dx, df/dy, df/dz) at given 3D point. More...

void	eval_gradient (const geomtools::vector_3d &position_, geomtools::vector_3d &gradient_) const
	Compute the quadric gradient (df/dx, df/dy, df/dz) at given 3D point. More...

double	eval_f (const geomtools::vector_3d &position_) const
	Compute the quadric formula at given 3D point. More...

double	distance (const geomtools::vector_3d &position_) const
	Compute the distance from a position to the plane. More...

geomtools::vector_3d	orthogonal_projection (const geomtools::vector_3d &position_, double skin_=GEOMTOOLS_PROPER_TOLERANCE) const
	Compute the orthogonal projection from a position. More...

geomtools::vector_3d	projection (const geomtools::vector_3d &position_, const geomtools::vector_3d &direction_, double skin_=GEOMTOOLS_PROPER_TOLERANCE) const
	Compute the projection from a position along a direction. More...

virtual bool	is_on_surface (const geomtools::vector_3d &position_, double skin_=GEOMTOOLS_PROPER_TOLERANCE) const
	Check if the point. More...

virtual geomtools::vector_3d	get_normal_on_surface (const geomtools::vector_3d &position_, bool check_=true, double skin_=GEOMTOOLS_PROPER_TOLERANCE) const

virtual bool	find_intercept (const geomtools::vector_3d &from_, const geomtools::vector_3d &direction_, face_intercept_info &intercept_, double tolerance_=GEOMTOOLS_PROPER_TOLERANCE) const

void	generate_wires_self (wires_type &, uint32_t options_=0) const

virtual void	tree_dump (std::ostream &out_=std::clog, const std::string &title_="", const std::string &indent_="", bool inherit_=false) const
	Smart print. More...

Public Member Functions inherited from geomtools::i_shape_2d
virtual bool	has_number_of_sides () const
	Check if the 2D shape knows its number of associated sides. More...

virtual unsigned int	get_number_of_sides () const
	Return the number of associated sides. More...

virtual bool	has_perimeter (uint32_t flags_=ALL_PIECES) const
	Check if the 2D shape known its perimeter. More...

virtual double	get_perimeter (uint32_t flags_=ALL_PIECES) const
	Return the perimeter. More...

virtual bool	has_surface (uint32_t flags_=ALL_PIECES) const
	Check if the 2D shape surface is defined. More...

virtual double	get_surface (uint32_t flags_=ALL_PIECES) const
	Return the surface. More...

int	get_dimensional () const
	Return the dimension of the object. More...

	i_shape_2d ()
	Default constructor. More...

	i_shape_2d (double tolerance_)
	Constructor. More...

	i_shape_2d (double tolerance_, double angular_tolerance_)
	Constructor. More...

virtual	~i_shape_2d ()
	Destructor. More...

Public Member Functions inherited from geomtools::i_object_3d
datatools::logger::priority	get_logging_priority () const
	Return the logging priority threshold. More...

void	set_logging_priority (datatools::logger::priority)
	Set the logging priority threshold. More...

bool	has_wires_drawer () const
	Check is a wires drawer is available. More...

void	set_wires_drawer (i_wires_3d_rendering &wires_drawer_)
	Set a wires drawer. More...

void	reset_wires_drawer ()
	Reset the wires drawer. More...

i_wires_3d_rendering &	grab_wires_drawer ()
	Return a wires drawer. More...

const i_wires_3d_rendering &	get_wires_drawer () const
	Return a wires drawer. More...

double	compute_tolerance (double tolerance_) const
	Return the distance tolerance. More...

double	compute_angular_tolerance (double angular_tolerance_) const
	Return the angular tolerance. More...

double	get_tolerance () const
	Return the distance tolerance. More...

void	set_tolerance (double tolerance_)
	Set the distance tolerance. More...

double	get_angular_tolerance () const
	Return the angular tolerance. More...

void	set_angular_tolerance (double tolerance_)
	Set the angular tolerance. More...

virtual bool	is_composite () const
	Check if the object is composite. More...

	i_object_3d ()
	Default constructor. More...

	i_object_3d (double tolerance_)
	Constructor on length tolerance. More...

	i_object_3d (double tolerance_, double angular_tolerance_)
	Constructor on length tolerance. More...

	i_object_3d (const i_object_3d &)
	Copy constructor. More...

i_object_3d &	operator= (const i_object_3d &)
	Assignment operator. More...

virtual	~i_object_3d ()
	Destructor. More...

void	initialize_simple ()
	Initialize the 3D object. More...

Public Member Functions inherited from datatools::i_serializable
	i_serializable ()
	Default constructor. More...

virtual	~i_serializable ()
	Destructor. More...

virtual const std::string &	get_serial_tag () const =0
	Return the serialization string identifier of the class. More...

Public Member Functions inherited from datatools::i_tree_dumpable
	i_tree_dumpable ()
	Constructor. More...

virtual	~i_tree_dumpable ()
	Destructor. More...

virtual void	print_tree (std::ostream &out_=std::clog, const boost::property_tree::ptree &options_=empty_options()) const
	Main new interface method for printing. More...

void	print_tree_json (std::ostream &out_=std::clog, const std::string &json_options_="") const
	Printing with jsonized options. More...

void	print_tree_json (std::ostream &out_=std::clog, const char *json_options_=nullptr) const
	Printing with jsonized options. More...

void	tree_dump_id (const int out_type_=OSTREAM_CLOG, const std::string &title_="", const std::string &indent_="", const bool inherit_=false) const

void	tree_print_id (const int out_type_=OSTREAM_CLOG, const std::string &title_="") const

void	smart_print_id (const int out_type_=OSTREAM_CLOG, const std::string &title_="", const std::string &indent_="") const

Public Member Functions inherited from geomtools::i_find_intercept
	i_find_intercept ()
	Default constructor. More...

virtual	~i_find_intercept ()
	Destructor. More...

bool	find_intercept_self (const vector_3d &a_from, const vector_3d &a_direction, face_intercept_info &a_intercept, double a_skin=GEOMTOOLS_PROPER_TOLERANCE) const

bool	find_intercept (const vector_3d &a_from, const vector_3d &a_direction, const placement &a_placement, face_intercept_info &a_intercept, double a_skin=GEOMTOOLS_PROPER_TOLERANCE) const

Public Member Functions inherited from geomtools::i_wires_3d_rendering
virtual	~i_wires_3d_rendering ()
	Destructor. More...

void	generate_wires (wires_type &wires_, const placement &positioning_, uint32_t options_=0) const

void	generate_wires (wires_type &wires_, const geomtools::vector_3d &position_, const geomtools::rotation_3d &rotation_, uint32_t options_=0) const

Static Public Member Functions
static const std::string &	quadric_label ()
	Return the identifier label for the class. More...

static std::string	coeff_label (coef_index i_)

static void	make_plane (quadric &q_, double a_, double b_, double c_, double d_)

static void	make_plane_yz (quadric &q_, double a_)

static void	make_plane_xz (quadric &q_, double b_)

static void	make_plane_xy (quadric &q_, double c_)

static void	make_parallel_planes_yz (quadric &q_, double a_)

static void	make_parallel_planes_xz (quadric &q_, double b_)

static void	make_parallel_planes_xy (quadric &q_, double c_)

static void	make_ellipsoid (quadric &q_, double a_, double b_, double c_)

static void	make_spheroid_along_z (quadric &q_, double a_, double b_)

static void	make_sphere (quadric &q_, double a_)

static void	make_elliptic_paraboloid_along_z (quadric &q_, double a_, double b_)

static void	make_circular_paraboloid_along_z (quadric &q_, double a_)

static void	make_hyperbolic_paraboloid_along_z (quadric &q_, double a_, double b_)

static void	make_elliptic_hyperbolic_one_sheet_along_z (quadric &q_, double a_, double b_, double c_)

static void	make_elliptic_hyperbolic_two_sheets_along_z (quadric &q_, double a_, double b_, double c_)

static void	make_elliptic_cone_along_z (quadric &q_, double a_, double b_, double c_)

static void	make_circular_cone_along_z (quadric &q_, double a_, double b_)

static void	make_elliptic_cylinder_along_z (quadric &q_, double a_, double b_)

static void	make_circular_cylinder_along_z (quadric &q_, double a_)

static void	make_hyperbolic_cylinder_along_z (quadric &q_, double a_, double b_)

static void	make_parabolic_cylinder_along_z (quadric &q_, double a_)

Static Public Member Functions inherited from geomtools::i_shape_2d
static void	init_ocd (datatools::object_configuration_description &ocd_)

Static Public Member Functions inherited from geomtools::i_object_3d
static void	init_ocd (datatools::object_configuration_description &)
	OCD support. More...

Static Public Member Functions inherited from datatools::i_tree_dumpable
static const boost::property_tree::ptree &	empty_options ()

static boost::property_tree::ptree	make_base_print_options (const std::string &title_, const std::string &indent_="", const bool inherit_=false)

static std::ostream &	last_skip_tag (std::ostream &out_)

static std::ostream &	skip_tag (std::ostream &out_)

static std::ostream &	last_tag (std::ostream &out_)

static std::ostream &	tag (std::ostream &out_)

Static Public Member Functions inherited from geomtools::i_wires_3d_rendering
static uint32_t	linear_sampling (sampling_level_type)
	Return linear sampling from sampling level. More...

static uint32_t	linear_sampling_from_options (uint32_t)
	Return linear sampling from rendering options. More...

static uint32_t	angular_sampling (sampling_level_type)
	Return angular sampling from sampling level. More...

static uint32_t	angular_sampling_from_options (uint32_t)
	Return angular sampling from rendering options. More...

static void	boost_linear_sampling (uint32_t &)
	Boost the linear sampling. More...

Protected Member Functions
void	_set_defaults ()
	Set default attributes values. More...

Protected Member Functions inherited from geomtools::i_object_3d
void	_set_defaults ()
	Set default values for attributes. More...

void	_initialize (const datatools::properties &, const handle_dict_type *=0)
	Initialize from properties. More...

void	_reset ()
	Reset. More...

Additional Inherited Members
Static Public Attributes inherited from geomtools::i_shape_2d
static const uint32_t	ALL_PIECES = 0xFFFFFFFF
	Special flag representing all pieces composing a 2D shape. More...

Detailed Description

A general quadric a 3D space.

Member Enumeration Documentation

◆ coef_index

enum geomtools::quadric::coef_index

Enumerator
A
B
C
D
E
F
G
H
I
J
NCOEFFS

Constructor & Destructor Documentation

◆ quadric()

geomtools::quadric::quadric ( )

Default constructor.

Member Function Documentation

◆ _set_defaults()

void geomtools::quadric::_set_defaults ( )

protected

Set default attributes values.

◆ coeff_label()

static std::string geomtools::quadric::coeff_label ( coef_index i_ )

static

◆ distance()

double geomtools::quadric::distance ( const geomtools::vector_3d & position_ ) const

Compute the distance from a position to the plane.

◆ eval_dfdx()

virtual double geomtools::quadric::eval_dfdx	(	double	x_,
		double	y_,
		double	z_
	)		const

virtual

Compute the quadric df/dx derivative at given 3D point.

◆ eval_dfdy()

virtual double geomtools::quadric::eval_dfdy	(	double	x_,
		double	y_,
		double	z_
	)		const

virtual

Compute the quadric df/dy derivative at given 3D point.

◆ eval_dfdz()

virtual double geomtools::quadric::eval_dfdz	(	double	x_,
		double	y_,
		double	z_
	)		const

virtual

Compute the quadric df/dz derivative at given 3D point.

◆ eval_f() [1/2]

virtual double geomtools::quadric::eval_f	(	double	x_,
		double	y_,
		double	z_
	)		const

virtual

Compute the quadric formula f(x,y,z) at given 3D point.

◆ eval_f() [2/2]

double geomtools::quadric::eval_f ( const geomtools::vector_3d & position_ ) const

Compute the quadric formula at given 3D point.

◆ eval_gradient() [1/2]

void geomtools::quadric::eval_gradient	(	double	x_,
		double	y_,
		double	z_,
		double &	dfdx_,
		double &	dfdy_,
		double &	dfdz_
	)		const

Compute the quadric gradient (df/dx, df/dy, df/dz) at given 3D point.

◆ eval_gradient() [2/2]

void geomtools::quadric::eval_gradient	(	const geomtools::vector_3d &	position_,
		geomtools::vector_3d &	gradient_
	)		const

Compute the quadric gradient (df/dx, df/dy, df/dz) at given 3D point.

◆ find_intercept()

virtual bool geomtools::quadric::find_intercept	(	const geomtools::vector_3d &	a_from,
		const geomtools::vector_3d &	a_direction,
		face_intercept_info &	a_intercept,
		double	a_skin = `GEOMTOOLS_PROPER_TOLERANCE`
	)		const

virtual

Find intercept on some surface from a segment/ray emitted from a point

This method implies we work in the local coordinate system of the target object

a_from the position from which the ray is emitted
a_direction the direction of the emitted ray
a_intercept the data structure that contains the result of the intercept algorithm (impact point)
Returns
true if a valid intercept/impact has been found

Implements geomtools::i_find_intercept.

◆ generate_wires_self()

void geomtools::quadric::generate_wires_self	(	wires_type &	wires_,
		uint32_t	options_ = `0`
	)		const

virtual

Generate a collection of polylines representing a 3D object in 'wires' display mode using the object coordinate frame

Implements geomtools::i_wires_3d_rendering.

◆ get_coefficient()

double geomtools::quadric::get_coefficient ( coef_index ) const

Return the coefficient at given rank.

◆ get_normal_on_surface()

virtual geomtools::vector_3d geomtools::quadric::get_normal_on_surface	(	const geomtools::vector_3d &	position_,
		bool	check_ = `true`,
		double	skin_ = `GEOMTOOLS_PROPER_TOLERANCE`
	)		const

virtual

Return the normal direction at some position on the 2D shape's path

position_ The position to be checked
Returns
the normal 3D vector at the checked position that is assumes belonging to the surface

Implements geomtools::i_shape_2d.

◆ get_shape_name()

virtual std::string geomtools::quadric::get_shape_name ( ) const

virtual

Return the shape name.

Implements geomtools::i_object_3d.

◆ initialize()

void geomtools::quadric::initialize	(	const datatools::properties &	,
		const handle_dict_type *	= `0`
	)

virtual

Initialize from properties and a dictionary of 3D-objects.

Reimplemented from geomtools::i_object_3d.

◆ is_on_surface()

virtual bool geomtools::quadric::is_on_surface	(	const geomtools::vector_3d &	position_,
		double	skin_ = `GEOMTOOLS_PROPER_TOLERANCE`
	)		const

virtual

Check if the point.

Implements geomtools::i_shape_2d.

◆ is_valid()

bool geomtools::quadric::is_valid ( ) const

virtual

Check if the plane is valid.

Implements geomtools::i_object_3d.

◆ make_circular_cone_along_z()

static void geomtools::quadric::make_circular_cone_along_z	(	quadric &	q_,
		double	a_,
		double	b_
	)

static

Make circular cone along Z axis f(x,y,z) = (x/a)2 + (y/a)2 - (z/b)2 = 0

◆ make_circular_cylinder_along_z()

static void geomtools::quadric::make_circular_cylinder_along_z	(	quadric &	q_,
		double	a_
	)

static

Make circular cylinder along Z axis f(x,y,z) = (x/a)2 + (y/a)2 - 1 = 0

◆ make_circular_paraboloid_along_z()

static void geomtools::quadric::make_circular_paraboloid_along_z	(	quadric &	q_,
		double	a_
	)

static

Make circular paraboloid along Z axis f(x,y,z) = (x/a)2 + (y/a)2 - z = 0

◆ make_ellipsoid()

static void geomtools::quadric::make_ellipsoid	(	quadric &	q_,
		double	a_,
		double	b_,
		double	c_
	)

static

Make ellipsoid f(x,y,z) = (x/a)2 + (y/b)2 + (z/c)2 - 1 = 0

◆ make_elliptic_cone_along_z()

static void geomtools::quadric::make_elliptic_cone_along_z	(	quadric &	q_,
		double	a_,
		double	b_,
		double	c_
	)

static

Make elliptic cone along Z axis f(x,y,z) = (x/a)2 + (y/b)2 - (z/c)2 = 0

◆ make_elliptic_cylinder_along_z()

static void geomtools::quadric::make_elliptic_cylinder_along_z	(	quadric &	q_,
		double	a_,
		double	b_
	)

static

Make elliptic cylinder along Z axis f(x,y,z) = (x/a)2 + (y/b)2 - 1 = 0

◆ make_elliptic_hyperbolic_one_sheet_along_z()

static void geomtools::quadric::make_elliptic_hyperbolic_one_sheet_along_z	(	quadric &	q_,
		double	a_,
		double	b_,
		double	c_
	)

static

Make hyperbolic paraboloid of one sheet along Z axis f(x,y,z) = (x/a)2 + (y/b)2 - (z/c)2 - 1 = 0

◆ make_elliptic_hyperbolic_two_sheets_along_z()

static void geomtools::quadric::make_elliptic_hyperbolic_two_sheets_along_z	(	quadric &	q_,
		double	a_,
		double	b_,
		double	c_
	)

static

Make hyperbolic paraboloid of two sheets along Z axis f(x,y,z) = (x/a)2 + (y/b)2 - (z/c)2 + 1 = 0

◆ make_elliptic_paraboloid_along_z()

static void geomtools::quadric::make_elliptic_paraboloid_along_z	(	quadric &	q_,
		double	a_,
		double	b_
	)

static

Make elliptic paraboloid along Z axis f(x,y,z) = (x/a)2 + (y/b)2 - z = 0

◆ make_hyperbolic_cylinder_along_z()

static void geomtools::quadric::make_hyperbolic_cylinder_along_z	(	quadric &	q_,
		double	a_,
		double	b_
	)

static

Make hyperbolic cylinder along Z axis f(x,y,z) = (x/a)2 - (y/b)2 - 1 = 0

◆ make_hyperbolic_paraboloid_along_z()

static void geomtools::quadric::make_hyperbolic_paraboloid_along_z	(	quadric &	q_,
		double	a_,
		double	b_
	)

static

Make hyperbolic paraboloid along Z axis f(x,y,z) = (x/a)2 - (y/b)2 - z = 0

◆ make_parabolic_cylinder_along_z()

static void geomtools::quadric::make_parabolic_cylinder_along_z	(	quadric &	q_,
		double	a_
	)

static

Make parabolic cylinder along Z axis f(x,y,z) = x2 + 2ay = 0

◆ make_parallel_planes_xy()

static void geomtools::quadric::make_parallel_planes_xy	(	quadric &	q_,
		double	c_
	)

static

Make parallel XY planes at z2=c2 f(x,y,z) = z2 - c2 = 0

◆ make_parallel_planes_xz()

static void geomtools::quadric::make_parallel_planes_xz	(	quadric &	q_,
		double	b_
	)

static

Make parallel XZ planes at y2=b2 f(x,y,z) = y2 - b2 = 0

◆ make_parallel_planes_yz()

static void geomtools::quadric::make_parallel_planes_yz	(	quadric &	q_,
		double	a_
	)

static

Make parallel YZ planes at x2=a2 f(x,y,z) = x2 - a2 = 0

◆ make_plane()

static void geomtools::quadric::make_plane	(	quadric &	q_,
		double	a_,
		double	b_,
		double	c_,
		double	d_
	)

static

Make a general plane f(x,y,z) = ax + by + cz + d = 0

◆ make_plane_xy()

static void geomtools::quadric::make_plane_xy	(	quadric &	q_,
		double	c_
	)

static

Make a XY plane at z=c f(x,y,z) = z - c = 0

◆ make_plane_xz()

static void geomtools::quadric::make_plane_xz	(	quadric &	q_,
		double	b_
	)

static

Make a XZ plane at y=b f(x,y,z) = y - b = 0

◆ make_plane_yz()

static void geomtools::quadric::make_plane_yz	(	quadric &	q_,
		double	a_
	)

static

Make a YZ plane at x=a f(x,y,z) = x - a = 0

◆ make_sphere()

static void geomtools::quadric::make_sphere	(	quadric &	q_,
		double	a_
	)

static

Make sphere f(x,y,z) = (x/a)2 + (y/a)2 + (z/a)2 - 1 = 0

◆ make_spheroid_along_z()

static void geomtools::quadric::make_spheroid_along_z	(	quadric &	q_,
		double	a_,
		double	b_
	)

static

Make spheroid along Z axis f(x,y,z) = (x/a)2 + (y/a)2 + (z/b)2 - 1 = 0

◆ orthogonal_projection()

geomtools::vector_3d geomtools::quadric::orthogonal_projection	(	const geomtools::vector_3d &	position_,
		double	skin_ = `GEOMTOOLS_PROPER_TOLERANCE`
	)		const

Compute the orthogonal projection from a position.

◆ projection()

geomtools::vector_3d geomtools::quadric::projection	(	const geomtools::vector_3d &	position_,
		const geomtools::vector_3d &	direction_,
		double	skin_ = `GEOMTOOLS_PROPER_TOLERANCE`
	)		const

Compute the projection from a position along a direction.

◆ quadric_label()

static const std::string& geomtools::quadric::quadric_label ( )

static

Return the identifier label for the class.

◆ reset()

void geomtools::quadric::reset ( )

virtual

Reset.

Reimplemented from geomtools::i_object_3d.

◆ set_coefficient()

void geomtools::quadric::set_coefficient	(	coef_index	,
		double
	)

Set the coefficient at given rank.

◆ tree_dump()

virtual void geomtools::quadric::tree_dump	(	std::ostream &	out_ = `std::clog`,
		const std::string &	title_ = `""`,
		const std::string &	indent_ = `""`,
		bool	inherit_ = `false`
	)		const

virtual

Smart print.

Reimplemented from geomtools::i_object_3d.

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

bayeux/geomtools/quadric.h

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Member Enumeration Documentation

◆ coef_index

Constructor & Destructor Documentation

◆ quadric()

Member Function Documentation

◆ _set_defaults()

◆ coeff_label()

◆ distance()

◆ eval_dfdx()

◆ eval_dfdy()

◆ eval_dfdz()

◆ eval_f() [1/2]

◆ eval_f() [2/2]

◆ eval_gradient() [1/2]

◆ eval_gradient() [2/2]

◆ find_intercept()

◆ generate_wires_self()

◆ get_coefficient()

◆ get_normal_on_surface()

◆ get_shape_name()

◆ initialize()

◆ is_on_surface()

◆ is_valid()

◆ make_circular_cone_along_z()

◆ make_circular_cylinder_along_z()

◆ make_circular_paraboloid_along_z()

◆ make_ellipsoid()

◆ make_elliptic_cone_along_z()

◆ make_elliptic_cylinder_along_z()

◆ make_elliptic_hyperbolic_one_sheet_along_z()

◆ make_elliptic_hyperbolic_two_sheets_along_z()

◆ make_elliptic_paraboloid_along_z()

◆ make_hyperbolic_cylinder_along_z()

◆ make_hyperbolic_paraboloid_along_z()

◆ make_parabolic_cylinder_along_z()

◆ make_parallel_planes_xy()

◆ make_parallel_planes_xz()

◆ make_parallel_planes_yz()

◆ make_plane()

◆ make_plane_xy()

◆ make_plane_xz()

◆ make_plane_yz()

◆ make_sphere()

◆ make_spheroid_along_z()

◆ orthogonal_projection()

◆ projection()

◆ quadric_label()

◆ reset()

◆ set_coefficient()

◆ tree_dump()