Structure to contain information and functions for critical curves and caustics. More...

#include <grid_maintenance.h>

Collaboration diagram for ImageFinding::CriticalCurve:

Public Member Functions
	CriticalCurve (const CriticalCurve &p)

CriticalCurve &	operator= (const CriticalCurve &p)

bool	inCausticCurve (Point_2d &x)
	return true if x is inside or on the border of the caustic curve

bool	intersectingCausticCurve (Point_2d &x, double r)
	returns true if a circle of radius r around the point x intersects with the caustic curve

bool	inCriticalCurve (Point_2d &x)
	return true if x is inside or on the border of the critical curve

bool	EntirelyinCausticCurve (Point_2d &x, PosType sourceRadius)
	return true if x is strictly inside (entirely) the caustic curve

bool	EntirelyinCriticalCurve (Point_2d x, PosType sourceRadius)
	return true if x is strictly inside (entirely) the critical curve

void	RandomSourcesWithinCaustic (int N, std::vector< Point_2d > &y, Utilities::RandomNumbers_NR &rng)
	Returns a vector of random point within the caustic. It is more efficient to call this once for many point rather than repeatedly one at a time. More...

Point_2d	RandomSourceWithinCaustic (Utilities::RandomNumbers_NR &rng)

void	RandomSourcesNearCaustic (double R, int N, std::vector< Point_2d > &y, Utilities::RandomNumbers_NR &rng)
	Returns a vector of random point within distance R or filly within the caustic. More...

Point_2d	RandomSourceNearCaustic (double R, Utilities::RandomNumbers_NR &rng)
	Returns a random point within distance R or filly within the caustic. More...

void	RandomSourceStrictlyWithinCaustic (int N, std::vector< Point_2d > &y, Utilities::RandomNumbers_NR &rng, PosType sourceRadius, PosType distSourceToCaustic)
	Returns a vector of random point strictly within the caustic (i.e. not touching the border). It is more efficient to call this once for many point rather than repeatedly one at a time. More...

void	CritRange (Point_2d &p1, Point_2d &p2) const
	find rectangular region enclosing critical curve

void	CausticRange (Point_2d &p1, Point_2d &p2) const
	find rectangular region enclosing caustic curve

void	CriticalRadius (PosType &rmax, PosType &rmin, PosType &rave) const
	find 3 measures of the critical curve radius

void	CausticRadius (PosType &rmax, PosType &rmin, PosType &rave) const
	find 3 measures of the caustic curve radius

double	AreaNearCaustic (double R)
	returns an estimate of the area inside and within distance R of the caustic More...

Static Public Member Functions
static void	print (std::string filename, std::vector< ImageFinding::CriticalCurve > &critcurves)
	print the critical curves and caustic curves to a csv file

Public Attributes
std::vector< RAY >	critcurve

std::vector< Point_2d >	caustic_curve_outline

std::vector< Point_2d >	caustic_curve_intersecting

std::vector< Point_2d >	ellipse_curve

PosType	z_source

CritType	type
	type of caustic, 0 -not defined, 1 -radial, 2 - tangential,3 - pseudo

int	caustic_intersections
	estimated number of intersections of the caustic, -1 if not set

Point_2d	critical_center
	center of critical curve

Point_2d	caustic_center
	center of caustic curve

PosType	critical_area
	area of critical curve (radians^2)

PosType	caustic_area
	area of caustic curve (radians^2)

PosType	contour_ell
	axis ratio of a contour defined by the ratio of the max to min distance between center (as given by hull alg) and contour

PosType	ellipse_area
	area of an ellipse with axis ratio contour_ell and major axis = max distance between center (as given by hull alg) and contour

bool	touches_edge
	touches the edge of the gridded region

int	crit_id
	id of the critical curve

Detailed Description

Structure to contain information and functions for critical curves and caustics.

Member Function Documentation

◆ AreaNearCaustic()

double ImageFinding::CriticalCurve::AreaNearCaustic ( double R )

returns an estimate of the area inside and within distance R of the caustic

Parameters

R	distance in radians

◆ RandomSourceNearCaustic()

Point_2d ImageFinding::CriticalCurve::RandomSourceNearCaustic	(	double	R,
		Utilities::RandomNumbers_NR &	rng
	)

Returns a random point within distance R or filly within the caustic.

Parameters

rng	random number generator

◆ RandomSourcesNearCaustic()

void ImageFinding::CriticalCurve::RandomSourcesNearCaustic	(	double	R,
		int	N,
		std::vector< Point_2d > &	y,
		Utilities::RandomNumbers_NR &	rng
	)

Returns a vector of random point within distance R or filly within the caustic.

Parameters

N	number of points needed
y	output vector of points
rng	random number generator

◆ RandomSourceStrictlyWithinCaustic()

void ImageFinding::CriticalCurve::RandomSourceStrictlyWithinCaustic	(	int	N,
		std::vector< Point_2d > &	y,
		Utilities::RandomNumbers_NR &	rng,
		PosType	sourceRadius,
		PosType	distSourceToCaustic
	)

Returns a vector of random point strictly within the caustic (i.e. not touching the border). It is more efficient to call this once for many point rather than repeatedly one at a time.

Returns N source positions which are not overlapping with the caustic lines. i.e. the distance between the caustic line and the center of the source is larger than radius of the source.

Parameters

N	number of points needed
y	output vector of points
rng	random number generator
sourceRadius	radius of the source
distSourceToCaustic	distance wanted between the source and the caustic line (must be larger than sourceRadius)

◆ RandomSourcesWithinCaustic()

void ImageFinding::CriticalCurve::RandomSourcesWithinCaustic	(	int	N,
		std::vector< Point_2d > &	y,
		Utilities::RandomNumbers_NR &	rng
	)

Returns a vector of random point within the caustic. It is more efficient to call this once for many point rather than repeatedly one at a time.

step for walking tree by iteration instead of recursion

bool TreeStruct::TreeWalkStep(bool allowDescent){

if(allowDescent && current->child1 != NULL){ moveToChild(1); return true; } if(allowDescent && current->child2 != NULL){ moveToChild(2); return true; }

if(current->brother != NULL){ current = current->brother; return true; }

return false; }

Parameters

N	number of points needed
y	output vector of points
rng	random number generator

◆ RandomSourceWithinCaustic()

Point_2d ImageFinding::CriticalCurve::RandomSourceWithinCaustic ( Utilities::RandomNumbers_NR & rng )

Parameters

rng	random number generator

The documentation for this struct was generated from the following files:

SLsimLib/include/grid_maintenance.h
SLsimLib/TreeCode_link/Tree.cpp

Public Member Functions

Static Public Member Functions

Public Attributes

Detailed Description

Member Function Documentation

◆ AreaNearCaustic()

◆ RandomSourceNearCaustic()

◆ RandomSourcesNearCaustic()

◆ RandomSourceStrictlyWithinCaustic()

◆ RandomSourcesWithinCaustic()

◆ RandomSourceWithinCaustic()