hyperrectangle

Documentation

Overview

Package hyperrectangle defines an N-dimensional box embedded in N-dimensional ambient space.

Index

• func Contains(r R, s R) bool
• func Disjoint(r R, s R) bool
• func SA(r R) float64
• func V(r R) float64
• func Within(g R, h R) bool
• func WithinEpsilon(g R, h R, e epsilon.E) bool
• type M
  • func (r M) Copy(s R)
  • func (r M) Intersect(s R) bool
  • func (r M) Max() vector.M
  • func (r M) Min() vector.M
  • func (r M) R() R
  • func (r M) Scale(c float64)
  • func (r M) Union(s R)
  • func (r M) Zero()
• type R
  • func Intersect(r R, s R) (R, bool)
  • func New(min vector.V, max vector.V) *R
  • func Scale(r R, c float64) R
  • func Union(r R, s R) R
  • func (r R) D() vector.V
  • func (r R) In(v vector.V) bool
  • func (r R) M() M
  • func (r R) Max() vector.V
  • func (r R) Min() vector.V

Functions

func Contains

func Contains(r R, s R) bool

Contains checks if the input rectangle r fully encloses s. r is a closed interval.

func Disjoint

func Disjoint(r R, s R) bool

func SA

func SA(r R) float64

SA returns the "surface area" of an N-dimensional interval. For N = 2, this is the perimeter, and for N = 3, this is the total surface area of the rectangular prism.

See https://math.stackexchange.com/a/1898563 for the full method.

func V

func V(r R) float64

func Within

func Within(g R, h R) bool

func WithinEpsilon

func WithinEpsilon(g R, h R, e epsilon.E) bool

Types

type M

type M R

func (M) Copy

func (r M) Copy(s R)

func (M) Intersect

func (r M) Intersect(s R) bool

func (M) Max

func (r M) Max() vector.M

func (M) Min

func (r M) Min() vector.M

func (M) R

func (r M) R() R

func (M) Scale

func (r M) Scale(c float64)

Scale will expand or shrink each dimension of the AABB by the given scalar.

If we want to expand or shrink by the total volume instead, we can use

b.Scale(math.Pow(c, 1.0 / b.Min().Dimension()))

func (M) Union

func (r M) Union(s R)

func (M) Zero

func (r M) Zero()

type R

type R struct {
	// contains filtered or unexported fields
}

func Intersect

func Intersect(r R, s R) (R, bool)

func New

func New(min vector.V, max vector.V) *R

func Scale

func Scale(r R, c float64) R

func Union

func Union(r R, s R) R

func (R) D

func (r R) D() vector.V

func (R) In

func (r R) In(v vector.V) bool

func (R) M

func (r R) M() M

func (R) Max

func (r R) Max() vector.V

func (R) Min

func (r R) Min() vector.V