Классы описывающие различные 2D или 3D геометрические тела. More...

#include <algorithm>
#include <vector>
#include "contour.h"
#include "basis_3.h"
#include "refobj.h"
#include "math_utils.h"

Include dependency graph for region_2.h:

This graph shows which files directly or indirectly include this file:

Classes
struct	unknown_cat
	Generic category. More...

struct	polyhedron_cat
	Convex linear figure (3D polyhedron). More...

struct	sphere_cat
	Sphere. More...

class	Region< N >
	N-dimensional body. More...

class	Box_N< N >
	Regular n-dimensional parallelepiped with edges parallel to coordinate axis. More...

class	Box_N< N >::point_it
	iterator at 6 vertices of the box More...

class	Polygon_2
	polygon More...

class	Sphere_N< N >
	n-dimensional sphere More...

class	Circle
	circle, 2D sphere More...

class	StretchedRegion< reg_tt >
	Region obtained from region reg by shift and linear transformation specified by matrix basis. More...

class	CompositeRegion< N >
	union of arbitrary number of regions More...

class	RegionUnion< N >
	union of arbitrary number of regions More...

class	RegionIntersection< N >
	intersection of arbitrary number of regions More...

Macros
#define	DUMP GNUPLOT
	Specifies default visual dump format.

Typedefs
typedef Region< 3 >	SpaceRegion
	Retained for compatibility with earlier versions.

Enumerations
enum	VISUAL_FORMATS { GNUPLOT = 0x1 , VTK = 0x2 }
	Bit flags to specify different visualization formats used in Region::CreateDumper() More...

enum	RegFlags { HAS_TESTPOINT =0x1 , HAS_TESTLINE =0x2 , HAS_TESTCONTOUR =0x4 , HAS_VOLUME =0x8 , HAS_CLONE =0x10 , NOT_CONVEX =0x20 , HAS_NORMAL = 0x40 , IS_SMOOTH = 0x80 , IS_INVERSE = 0x100 }
	Bit flags specifying the existing implementations of some Region<> functions, returned by Region::GetFlags(). More...

Functions
template<int N, class contour_t >
vec_type	MonteCarloTestContour (const Region< N > reg, const contour_t &cnt, Vector_Nt< vec_type, N > subcenter=nullptr, int nt=1000)
	Returns the area fraction of the contour part that is inside the region reg, subcontour which is inside the region (if pointer is not nullptr) and the center of the subcontour (if pointer is not nullptr) by Monte Carlo method.

template<int N>
int	MonteCarloTestLine (const Region< N > reg, const Vector_Nt< vec_type, N > &p, const Vector_Nt< vec_type, N > &dir, vec_type frac, Vector_Nt< vec_type, N > surfp, Vector_Nt< vec_type, N > surfn, vec_type length, int nt=1000)
	Records the fractions frac1 and frac2 of the interval (p,p+dirlength/dir.norm()) corresponding to the intersections surfpi=p+fracidir, surfni - coords of intersection and corresponding outer normal.

Polygon_2 *	GetRegularPolygon (const Vector_2 &center, vec_type d, int n)

Detailed Description

Классы описывающие различные 2D или 3D геометрические тела.

Macro Definition Documentation

◆ DUMP

#define DUMP GNUPLOT

Specifies default visual dump format.

Class RegDumper will be implemented correspondingly to this format.

Enumeration Type Documentation

◆ RegFlags

enum RegFlags

Bit flags specifying the existing implementations of some Region<> functions, returned by Region::GetFlags().

Enumerator
HAS_TESTPOINT	TestPoint function is implemented for this region.
HAS_TESTLINE	TestLine function (and also TestRay and TestEdge) is implemented for this region.
HAS_TESTCONTOUR	TestContour function is implemented for this region.
HAS_VOLUME	Volume function is implemented for this region.
HAS_CLONE	Clone function is implemented for this region.
NOT_CONVEX	Arbitrary shape which can not be decomposed into operations with convex regions.
HAS_NORMAL	GetNormal() function is implemented.
IS_INVERSE	The surface of the region is smooth.

◆ VISUAL_FORMATS

enum VISUAL_FORMATS

Bit flags to specify different visualization formats used in Region::CreateDumper()

Enumerator
GNUPLOT	Dump files for gnuplot visualization.
VTK	Dump files for VTK (Paraview) visualization.

Function Documentation

◆ GetRegularPolygon()

Polygon_2 * GetRegularPolygon	(	const Vector_2 &	center,
		vec_type	d,
		int	n
	)

Returns: regular polygon, center is center, d is distance from center to vertex, n is number of vertices

◆ MonteCarloTestContour()

template<int N, class contour_t >

vec_type MonteCarloTestContour	(	const Region< N > *	reg,
		const contour_t &	cnt,
		Vector_Nt< vec_type, N > *	subcenter = `nullptr`,
		int	nt = `1000`
	)

Returns the area fraction of the contour part that is inside the region reg, subcontour which is inside the region (if pointer is not nullptr) and the center of the subcontour (if pointer is not nullptr) by Monte Carlo method.

nt is number of random points used in Monte Carlo method.

◆ MonteCarloTestLine()

template<int N>

int MonteCarloTestLine	(	const Region< N > *	reg,
		const Vector_Nt< vec_type, N > &	p,
		const Vector_Nt< vec_type, N > &	dir,
		vec_type *	frac,
		Vector_Nt< vec_type, N > *	surfp,
		Vector_Nt< vec_type, N > *	surfn,
		vec_type	length,
		int	nt = `1000`
	)

Records the fractions frac1 and frac2 of the interval (p,p+dir*length/dir.norm()) corresponding to the intersections surfpi=p+fraci*dir, surfni - coords of intersection and corresponding outer normal.

returns the number of intersections: 0, 1 or 2 (if there are more than 2 intersections, skip them). in calculations nt points at the interval (p, p+length*dir/dir.norm()) are checked if they are inside or outside the region

Classes

Macros

Typedefs

Enumerations

Functions