point.hpp File Reference

Defines a class for representing and manipulating 3D points. More...

Go to the source code of this file.

Classes
class	hmap::Point
	A class to represent and manipulate 2D points that can carry a value. More...

Namespaces
namespace	hmap

Functions
float	hmap::angle (const Point &p1, const Point &p2)
	Computes the angle between two points relative to the x-axis.
float	hmap::angle (const Point &p0, const Point &p1, const Point &p2)
	Computes the angle formed by three points with the reference point as the origin.
float	hmap::cross_product (const Point &p0, const Point &p1, const Point &p2)
	Computes the 2D cross product of vectors formed by three points.
float	hmap::curvature (const Point &p1, const Point &p2, const Point &p3)
	Calculates the curvature formed by three points in 2D space.
float	hmap::distance (const Point &p1, const Point &p2)
	Calculates the distance between two points.
Point	hmap::interp_bezier (const Point &p_start, const Point &p_ctrl_start, const Point &p_ctrl_end, const Point &p_end, float t)
	Performs a cubic Bezier interpolation.
Point	hmap::interp_bspline (const Point &p0, const Point &p1, const Point &p2, const Point &p3, float t)
	Performs a cubic B-spline interpolation.
Point	hmap::interp_catmullrom (const Point &p0, const Point &p1, const Point &p2, const Point &p3, float t)
	Performs a Catmull-Rom spline interpolation.
Point	hmap::interp_decasteljau (const std::vector< Point > &points, float t)
	Performs a De Casteljau algorithm-based interpolation for Bezier curves.
Vec4< float >	hmap::intersect_bounding_boxes (const Vec4< float > &bbox1, const Vec4< float > &bbox2)
	Determines the intersection of two bounding boxes.
bool	hmap::is_point_within_bounding_box (Point p, Vec4< float > bbox)
	Checks if a point is within a specified bounding box.
bool	hmap::is_point_within_bounding_box (float x, float y, Vec4< float > bbox)
	Checks if a point is within a specified bounding box.
Point	hmap::lerp (const Point &p1, const Point &p2, float t)
	Linearly interpolates between two points.
Point	hmap::midpoint (const Point &p1, const Point &p2, int orientation, float distance_ratio, float t=0.5f)
	Computes the midpoint displacement in 1D with a perpendicular displacement.
void	hmap::sort_points (std::vector< Point > &points)
	Sorts a vector of points in ascending order based on their coordinates.
float	hmap::triangle_area (const Point &p1, const Point &p2, const Point &p3)
	Calculates the area of a triangle formed by three points in 2D space.
Vec4< float >	hmap::unit_square_bbox ()
	Constructs a 4D bounding box for a unit square.

Detailed Description

Defines a class for representing and manipulating 3D points.

Author

Otto Link (otto..nosp@m.link.nosp@m..bv@g.nosp@m.mail.nosp@m..com)

This file contains the definition of the Point3 class, which represents a point in 2D space with x, y, carrying a vlue v. The class includes basic vector operations such as addition, subtraction, and scalar multiplication. It also provides functionality for linear interpolation between two points.

Version

0.1

Date

2023-06-18

Copyright

Copyright (c) 2023

This software is distributed under the terms of the GNU General Public License. The full license is in the file LICENSE, distributed with this software.