hyperbolic

Documentation

Index

• Constants
• func Diff4(p, q vector.Vec4) vector.Vec4
• func GeodesicEndpoints(a, b HPoint, l float64) (HPoint, HPoint)
• func HyperbolicNorm(vec [4]float64) float64
• func HyperboloidInnerProduct(vec1, vec2 vector.Vec4) float64
• func HyperboloidToKlein(vec [4]float64) [3]float64
• func Scale3(p vector.Vec3, a float64) vector.Vec3
• func Scale4(p vector.Vec4, a float64) vector.Vec4
• func Sum4(p, q vector.Vec4) vector.Vec4
• type HPoint
  • func InitHPoint(w, x, y, z float64) HPoint
  • func InitHPointVec4(v vector.Vec4) HPoint
  • func (p *HPoint) HyperbolicNorm()
  • func (p *HPoint) HyperboloidInnerProduct(q HPoint) float64
  • func (p *HPoint) HyperboloidToKlein()
  • func (p *HPoint) HyperboloidToPoincare()
  • func (p *HPoint) HyperboloidToUHP()
  • func (p *HPoint) KleinToHyperboloid()
  • func (p *HPoint) KleinToPoincare()
  • func (p *HPoint) KleinToUHP()
  • func (p *HPoint) Normalise()
  • func (p *HPoint) PoincareToHyperboloid()
  • func (p *HPoint) PoincareToKlein()
  • func (p *HPoint) PoincareToUHP()
  • func (p *HPoint) UHPToHyperboloid()
  • func (p *HPoint) UHPToKlein()
  • func (p *HPoint) UHPToPoincare()

Constants

const (
	HyperboloidToPoincareEps = 0.00001
	HyperboloidToUHPEps      = 0.00001
	KleinToPoincareEps       = 0.00001
	PoincareToHyperboloidEps = 0.00001
	PoincareToUHPEps         = 0.00001
	UHPToHyperboloidEps      = 0.00001
)

Functions

func Diff4

func Diff4(p, q vector.Vec4) vector.Vec4

func GeodesicEndpoints

func GeodesicEndpoints(a, b HPoint, l float64) (HPoint, HPoint)

func HyperbolicNorm

func HyperbolicNorm(vec [4]float64) float64

func HyperboloidInnerProduct

func HyperboloidInnerProduct(vec1, vec2 vector.Vec4) float64

func HyperboloidToKlein

func HyperboloidToKlein(vec [4]float64) [3]float64

func Scale3

func Scale3(p vector.Vec3, a float64) vector.Vec3

func Scale4

func Scale4(p vector.Vec4, a float64) vector.Vec4

func Sum4

func Sum4(p, q vector.Vec4) vector.Vec4

Types

type HPoint

type HPoint struct {
	H    vector.Vec4
	K    vector.Vec3
	P    vector.Vec3
	U    vector.Vec3
	Norm float64
}

func InitHPoint

func InitHPoint(w, x, y, z float64) HPoint

func InitHPointVec4

func InitHPointVec4(v vector.Vec4) HPoint

func (*HPoint) HyperbolicNorm

func (p *HPoint) HyperbolicNorm()

func (*HPoint) HyperboloidInnerProduct

func (p *HPoint) HyperboloidInnerProduct(q HPoint) float64

func (*HPoint) HyperboloidToKlein

func (p *HPoint) HyperboloidToKlein()

func (*HPoint) HyperboloidToPoincare

func (p *HPoint) HyperboloidToPoincare()

func (*HPoint) HyperboloidToUHP

func (p *HPoint) HyperboloidToUHP()

func (*HPoint) KleinToHyperboloid

func (p *HPoint) KleinToHyperboloid()

func (*HPoint) KleinToPoincare

func (p *HPoint) KleinToPoincare()

func (*HPoint) KleinToUHP

func (p *HPoint) KleinToUHP()

func (*HPoint) Normalise

func (p *HPoint) Normalise()

func (*HPoint) PoincareToHyperboloid

func (p *HPoint) PoincareToHyperboloid()

func (*HPoint) PoincareToKlein

func (p *HPoint) PoincareToKlein()

func (*HPoint) PoincareToUHP

func (p *HPoint) PoincareToUHP()

func (*HPoint) UHPToHyperboloid

func (p *HPoint) UHPToHyperboloid()

func (*HPoint) UHPToKlein

func (p *HPoint) UHPToKlein()

func (*HPoint) UHPToPoincare

func (p *HPoint) UHPToPoincare()