Set of functions to generate points. More...

#include <vector>
#include <cmath>
#include "../tessellation/geometry.hpp"
#include <algorithm>
#include <boost/random/mersenne_twister.hpp>
#include <boost/random/uniform_real_distribution.hpp>

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Functions
std::vector< Vector2D >	cartesian_mesh (int nx, int ny, Vector2D const &lower_left, Vector2D const &upper_right)
	Generates a cartesian mesh. More...

std::vector< Vector2D >	CirclePointsRmax (int PointNum, double Rmin, double Rmax, double xmax, double ymax, double xmin, double ymin, double xc=0, double yc=0)
	Generates a round grid with constant point density. More...

std::vector< Vector2D >	CirclePointsRmax_2 (int PointNum, double Rmin, double Rmax, double xc=0, double yc=0, double xmax=1, double ymax=1, double xmin=-1, double ymin=1)
	Generates a round grid with 1/r^2 point density confined to a rectangle given by xmin,xmax,ymin and ymax. More...

std::vector< Vector2D >	CirclePointsRmax_1 (int PointNum, double Rmin, double Rmax, double xc=0, double yc=0, double xmax=1, double ymax=1, double xmin=-1, double ymin=-1)
	Generates a round grid with 1/r point density confined to a rectangle given by xmin,xmax,ymin and ymax. More...

std::vector< Vector2D >	circle_circumference (size_t point_number, double radius, Vector2D const &center, double angle_start=0, double angle_end=2 *M_PI)
	Creates a circle of evenly spaced points. More...

std::vector< Vector2D >	Line (int PointNum, double xmin, double xmax, double ymin, double ymax)
	Creates a line of evenly spaced points y=slope*x+b. More...

std::vector< Vector2D >	CirclePointsRmax_a (int PointNum, double Rmin, double Rmax, double xc, double yc, double xmax, double ymax, double xmin, double ymin, double alpha, double angle_start=0, double angle_end=2 *M_PI)
	Generates a round grid with r^alpha point density confined to a rectangle given by xmin,xmax,ymin and ymax. More...

std::vector< Vector2D >	RandPointsR (int PointNum, double xl=-0.5, double xr=0.5, double yd=-0.5, double yu=0.5, double minR=0, double xc=0, double yc=0)
	Generates a rectangular grid with random 1/r point density. More...

std::vector< Vector2D >	RandSquare (int PointNum, Vector2D const &lowerleft, Vector2D const &upperright)
	Generates a random rectangular grid with uniform point density and a constant seed. More...

std::vector< Vector2D >	RandSquare (int PointNum, double xl=-0.5, double xr=0.5, double yd=-0.5, double yu=0.5)
	Generates a random rectangular grid with uniform point density and a constant seed. More...

std::vector< Vector2D >	RandSquare (int PointNum, boost::random::mt19937 &eng, double xl=-0.5, double xr=0.5, double yd=-0.5, double yu=0.5)
	Generates a random rectangular grid with uniform point density. This is when reseting the seed between calls isn't wanted. More...

std::vector< Vector2D >	RandPointsRa (int PointNum, double Rmin, double Rmax, double alpha, Vector2D const &lowerleft, Vector2D const &upperright, Vector2D const &center=Vector2D(0, 0))
	Generates a random round grid with r^(1-a) point density. More...

std::vector< Vector2D >	RandPointsRmax (int PointNum, double Rmin, double Rmax, double xc=0, double yc=0)
	Generates a random round grid with 1/r point density. More...

Detailed Description

Set of functions to generate points.

Author: Elad Steinberg

Definition in file mesh_generator.hpp.

Function Documentation

◆ cartesian_mesh()

std::vector<Vector2D> cartesian_mesh	(	int	nx,
		int	ny,
		Vector2D const &	lower_left,
		Vector2D const &	upper_right
	)

Generates a cartesian mesh.

Parameters

nx	Number of points along the x axis
ny	Number of points along the y axis
lower_left	Lower left point
upper_right	Upper right point

Returns: Set of two dimensional points

Definition at line 194 of file mesh_generator.cpp.

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◆ circle_circumference()

std::vector<Vector2D> circle_circumference	(	size_t	point_number,
		double	radius,
		Vector2D const &	center,
		double	angle_start = `0`,
		double	angle_end = `2 *M_PI`
	)

Creates a circle of evenly spaced points.

Parameters

point_number	Number of points along the circumference
radius	Radius of the circle
center	Position of the center of the circle

Returns: List of two dimensional points

Definition at line 216 of file mesh_generator.cpp.

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◆ CirclePointsRmax()

std::vector<Vector2D> CirclePointsRmax	(	int	PointNum,
		double	Rmin,
		double	Rmax,
		double	xmax,
		double	ymax,
		double	xmin,
		double	ymin,
		double	xc = `0`,
		double	yc = `0`
	)

Generates a round grid with constant point density.

Parameters

PointNum	The number of points.
Rmin	The min radius
Rmax	The max radius
xc	X of circle center
yc	Y of circle center
xmin	Left edge of confining rectangle
xmax	Right edge of confining rectangle
ymax	Upper edge of confining rectangle
ymin	Lower edge of confining rectangle

Returns: List of two dimensional points

Definition at line 172 of file mesh_generator.cpp.

◆ CirclePointsRmax_1()

std::vector<Vector2D> CirclePointsRmax_1	(	int	PointNum,
		double	Rmin,
		double	Rmax,
		double	xc = `0`,
		double	yc = `0`,
		double	xmax = `1`,
		double	ymax = `1`,
		double	xmin = `-1`,
		double	ymin = `-1`
	)

Generates a round grid with 1/r point density confined to a rectangle given by xmin,xmax,ymin and ymax.

Parameters

PointNum	The number of points.
Rmin	The min radius
Rmax	The max radius
xc	X of circle center
yc	Y of circle center
xmin	Left edge of confining rectangle
xmax	Right edge of confining rectangle
ymax	Upper edge of confining rectangle
ymin	Lower edge of confining rectangle

Returns: List of two dimensional points

Definition at line 129 of file mesh_generator.cpp.

◆ CirclePointsRmax_2()

std::vector<Vector2D> CirclePointsRmax_2	(	int	PointNum,
		double	Rmin,
		double	Rmax,
		double	xc = `0`,
		double	yc = `0`,
		double	xmax = `1`,
		double	ymax = `1`,
		double	xmin = `-1`,
		double	ymin = `1`
	)

Generates a round grid with 1/r^2 point density confined to a rectangle given by xmin,xmax,ymin and ymax.

Parameters

PointNum	The number of points.
Rmin	The min radius
Rmax	The max radius
xc	X of circle center
yc	Y of circle center
xmin	Left edge of confining rectangle
xmax	Right edge of confining rectangle
ymax	Upper edge of confining rectangle
ymin	Lower edge of confining rectangle

Returns: List of two dimensional points

Definition at line 150 of file mesh_generator.cpp.

◆ CirclePointsRmax_a()

std::vector<Vector2D> CirclePointsRmax_a	(	int	PointNum,
		double	Rmin,
		double	Rmax,
		double	xc,
		double	yc,
		double	xmax,
		double	ymax,
		double	xmin,
		double	ymin,
		double	alpha,
		double	angle_start = `0`,
		double	angle_end = `2 *M_PI`
	)

Generates a round grid with r^alpha point density confined to a rectangle given by xmin,xmax,ymin and ymax.

Parameters

PointNum	The number of points.
Rmin	The min radius
Rmax	The max radius
xc	X of circle center
yc	Y of circle center
xmin	Left edge of confining rectangle
xmax	Right edge of confining rectangle
ymax	Upper edge of confining rectangle
ymin	Lower edge of confining rectangle
alpha	The point density, should not be -1 or -2

Returns: List of two dimensional points

Definition at line 247 of file mesh_generator.cpp.

◆ Line()

std::vector<Vector2D> Line	(	int	PointNum,
		double	xmin,
		double	xmax,
		double	ymin,
		double	ymax
	)

Creates a line of evenly spaced points y=slope*x+b.

Parameters

PointNum	The number of points
xmin	The minimum x of the line
xmax	The maximum x of the line
ymin	The minimum y of the line
ymax	The maximum y of the line

Returns: List of two dimensional points

Definition at line 229 of file mesh_generator.cpp.

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◆ RandPointsR()

std::vector<Vector2D> RandPointsR	(	int	PointNum,
		double	xl = `-0.5`,
		double	xr = `0.5`,
		double	yd = `-0.5`,
		double	yu = `0.5`,
		double	minR = `0`,
		double	xc = `0`,
		double	yc = `0`
	)

Generates a rectangular grid with random 1/r point density.

Parameters

PointNum	The number of points.
xl	The left boundary
xr	The right boundary
yd	The lower boundary
yu	The upper boundary
minR	The inner radius in which there are no points
xc	The X of center of the circle
yc	The Y of center of the circle

Returns: List of two dimensional points

Definition at line 100 of file mesh_generator.cpp.

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◆ RandPointsRa()

std::vector<Vector2D> RandPointsRa	(	int	PointNum,
		double	Rmin,
		double	Rmax,
		double	alpha,
		Vector2D const &	lowerleft,
		Vector2D const &	upperright,
		Vector2D const &	center = `Vector2D(0, 0)`
	)

Generates a random round grid with r^(1-a) point density.

Parameters

PointNum	The number of points.
Rmin	The min radius
Rmax	The max radius
alpha	The radial density of the points, shouldn't be 1
lowerleft	The lowerleft corner of the domain
upperright	The upperright corner of the domain
center	The center of the coordinates system

Returns: List of two dimensional points

Definition at line 73 of file mesh_generator.cpp.

◆ RandPointsRmax()

std::vector<Vector2D> RandPointsRmax	(	int	PointNum,
		double	Rmin,
		double	Rmax,
		double	xc = `0`,
		double	yc = `0`
	)

Generates a random round grid with 1/r point density.

Parameters

PointNum	The number of points.
Rmin	The min radius
Rmax	The max radius
xc	X of circle center
yc	Y of circle center

Returns: List of two dimensional points

Definition at line 11 of file mesh_generator.cpp.

◆ RandSquare() [1/3]

std::vector<Vector2D> RandSquare	(	int	PointNum,
		Vector2D const &	lowerleft,
		Vector2D const &	upperright
	)

Generates a random rectangular grid with uniform point density and a constant seed.

Parameters

PointNum	The number of points.
lowerleft	The lower left point of the domain
upperright	The upper right point of the domain

Returns: List of two dimensional points

Definition at line 6 of file mesh_generator.cpp.

◆ RandSquare() [2/3]

std::vector<Vector2D> RandSquare	(	int	PointNum,
		double	xl = `-0.5`,
		double	xr = `0.5`,
		double	yd = `-0.5`,
		double	yu = `0.5`
	)

Generates a random rectangular grid with uniform point density and a constant seed.

Parameters

PointNum	The number of points.
xl	The left boundary
xr	The right boundary
yd	The lower boundary
yu	The upper boundary

Returns: List of two dimensional points

Definition at line 32 of file mesh_generator.cpp.

◆ RandSquare() [3/3]

std::vector<Vector2D> RandSquare	(	int	PointNum,
		boost::random::mt19937 &	eng,
		double	xl = `-0.5`,
		double	xr = `0.5`,
		double	yd = `-0.5`,
		double	yu = `0.5`
	)

Generates a random rectangular grid with uniform point density. This is when reseting the seed between calls isn't wanted.

Parameters

PointNum	The number of points.
eng	The random number generator
xl	The left boundary
xr	The right boundary
yd	The lower boundary
yu	The upper boundary

Returns: List of two dimensional points

Definition at line 53 of file mesh_generator.cpp.

Functions

Detailed Description

Function Documentation

◆ cartesian_mesh()

◆ circle_circumference()

◆ CirclePointsRmax()

◆ CirclePointsRmax_1()

◆ CirclePointsRmax_2()

◆ CirclePointsRmax_a()

◆ Line()

◆ RandPointsR()

◆ RandPointsRa()

◆ RandPointsRmax()

◆ RandSquare() [1/3]

◆ RandSquare() [2/3]

◆ RandSquare() [3/3]