hexed::Hypersphere Class Reference

Represents hypersphere in any dimensionality. More...

#include <Surface_geom.hpp>

Inheritance diagram for hexed::Hypersphere:

Public Member Functions
	Hypersphere (Mat<> center, double radius)
Nearest_point< dyn >	nearest_point (Mat<> point, double max_distance=huge, double distance_guess=huge) override
	Computes the point on the surface which is nearest to point within max_distance.
std::vector< double >	intersections (Mat<> point0, Mat<> point1) override
	Computes the set of intersection points between a line and the surface.

Detailed Description

Represents hypersphere in any dimensionality.

Can behave as an interval, cylinder, sphere, or higher-dimensional equivalent depending on the number of entries in the point vectors supplied as arguments. However, all points supplied must have the same dimensionality, or else behavior is undefined.

Member Function Documentation

intersections()

std::vector< double > hexed::Hypersphere::intersections ( Mat<> point0, Mat<> point1 )

overridevirtual

Computes the set of intersection points between a line and the surface.

The line is defined parametrically to be the set of points \( [\text{point0}] + t [\text{point1}] \) for all \( t \in \mathbb{R} \). Returns the (potentially empty) set of \( t \) values where the line intersects the surface.

Implements hexed::Surface_geom.

nearest_point()

Nearest_point< dyn > hexed::Hypersphere::nearest_point ( Mat<> point, double max_distance = huge, double distance_guess = huge )

overridevirtual

Computes the point on the surface which is nearest to point within max_distance.

If no point is found, returns an empty Nearest_point.

Parameters

point	The point you want to find the nearest point to.
max_distance	Only consider points within max_distance of point.
distance_guess	If you have some reason to suspect the nearest point is within a certain distance of the input point, you can pass it to this parameter as a hint to possibly improve performance.

Implements hexed::Surface_geom.

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

• /home/micaiah/Desktop/hexed/include/Surface_geom.hpp
• /home/micaiah/Desktop/hexed/libhexed/Surface_geom.cpp