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v1.3.27 Latest Latest
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 Go to latest Published: May 17, 2022 License: MIT Imports: 4 Imported by: 0

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Constants

View Source 
const (
	Rt2  = 1.41421356237309514547462185873882845044136047363281
	Rt3  = 1.73205080756887719317660412343684583902359008789062
	Rt5  = 2.23606797749978980505147774238139390945434570312500
	Rt7  = 2.64575131106459071617109657381661236286163330078125
	Rt11 = 3.31662479035539980998237297171726822853088378906250

	Rt_2  = 0.70710678118654746171500846685376018285751342773438
	Rt_3  = 0.57735026918962584208117050366126932203769683837891
	Rt_5  = 0.44721359549995792770360480972158256918191909790039
	Rt_7  = 0.37796447300922719758631274089566431939601898193359
	Rt_11 = 0.30151134457776362918224322129390202462673187255859

	P  = (1.0 + Rt5) * 0.5
	P2 = (3.0 + Rt5) * 0.5
	P3 = 2.0 + Rt5
	P4 = (7.0 + 3.0*Rt5) * 0.5
	P5 = (11.0 + 5.0*Rt5) * 0.5
	P6 = P3 * P3
	P8 = P4 * P4

	P_1 = (Rt5 - 1.0) * 0.5
	P_2 = (3.0 - Rt5) * 0.5
	P_3 = Rt5 - 2.0
	P_4 = (7.0 - 3.0*Rt5) * 0.5
)
View Source 
const BoundaryEps = 0.00001
View Source 
const DistanceSquaredEps = 0.0001
View Source 
const GenerateEdgeDataEps = 0.00001
View Source 
const GenerateFaceDataEps = 0.00001
View Source 
const IPEpsilon = 0.00001
View Source 
const MAXLENGTH = 1000
View Source 
const TestEps = 0.00001

Variables

This section is empty.

Functions

func Boundaries 

func Boundaries(n, e, p float64) string

func InStringSlice added in v1.3.17 

func InStringSlice(word string, slice []string) bool

func MakeCells added in v1.2.0 

func MakeCells(cell vector.Vec4, faceReflections []string, numLayers int, A, B, C, D func(vector.Vec4) vector.Vec4) ([]vector.Vec4, []string)

func ReduceWord added in v1.2.0 

func ReduceWord(word string, p, q, r int) string

Types

type BaseReflections added in v1.3.17 

type BaseReflections struct {
	V func(vector.Vec4) vector.Vec4
	E func(vector.Vec4) vector.Vec4
	F func(vector.Vec4) vector.Vec4
	C func(vector.Vec4) vector.Vec4
}

type Cell added in v1.2.0 

type Cell struct {
	Vertices []vector.Vec4
	Edges    [][]int
	Faces    [][]int
}

type Distances added in v1.3.17 

type Distances struct {
	VE float64
	VF float64
	VC float64
	EF float64
	EC float64
	FC float64
}

type GoursatTetrahedron added in v1.2.0 

type GoursatTetrahedron struct {
	P               float64
	Q               float64
	R               float64
	V               vector.Vec4
	E               vector.Vec4
	F               vector.Vec4
	C               vector.Vec4
	EVal            float64
	PVal            float64
	Distances       Distances
	Normals         Normals
	Heights         Heights
	BaseReflections BaseReflections
	Reflections     Reflections
	Scale           func(vector.Vec4) vector.Vec4
	IP              func(vector.Vec4, vector.Vec4) float64
	Metric          string
}

func GoursatTetrahedron33n added in v1.2.0 

func GoursatTetrahedron33n(n float64) GoursatTetrahedron

func GoursatTetrahedron34n added in v1.2.0 

func GoursatTetrahedron34n(n float64) GoursatTetrahedron

func GoursatTetrahedron35n added in v1.2.0 

func GoursatTetrahedron35n(n float64) GoursatTetrahedron

func GoursatTetrahedron36n added in v1.2.0 

func GoursatTetrahedron36n(n float64) GoursatTetrahedron

func GoursatTetrahedron43n added in v1.2.0 

func GoursatTetrahedron43n(n float64) GoursatTetrahedron

func GoursatTetrahedron44n added in v1.2.0 

func GoursatTetrahedron44n(n float64) GoursatTetrahedron

func GoursatTetrahedron53n added in v1.2.0 

func GoursatTetrahedron53n(n float64) GoursatTetrahedron

func GoursatTetrahedron63n added in v1.2.0 

func GoursatTetrahedron63n(n float64) GoursatTetrahedron

func GoursatTetrahedronpqr added in v1.2.0 

func GoursatTetrahedronpqr(p, q, r float64) GoursatTetrahedron

func (*GoursatTetrahedron) DistanceSquared added in v1.3.17 

func (gt *GoursatTetrahedron) DistanceSquared(u, v vector.Vec4) float64

func (*GoursatTetrahedron) Dump added in v1.3.23 

func (gt *GoursatTetrahedron) Dump()

func (*GoursatTetrahedron) EnumerateReflections added in v1.3.17 

func (gt *GoursatTetrahedron) EnumerateReflections(reflections []Reflect, faceReflections []string) []Reflect

func (*GoursatTetrahedron) GenerateInnerProduct added in v1.3.17 

func (gt *GoursatTetrahedron) GenerateInnerProduct()

func (*GoursatTetrahedron) GramSchmidt added in v1.3.17 

func (gt *GoursatTetrahedron) GramSchmidt(w, x, y, z vector.Vec4) (vector.Vec4, vector.Vec4, vector.Vec4, vector.Vec4)

GramSchmidt runs the Gram-Schmidt algorithm on the four vectors w, x, y, z with the inner product given by gt.

Returns: 

a = w
b = x - <x,a>a
c = y - <y,a>a - <y,b>b
d = z - <z,a>a - <z,b>b - <z,c>c

func (*GoursatTetrahedron) Normalise added in v1.3.17 

func (gt *GoursatTetrahedron) Normalise(v vector.Vec4) vector.Vec4

Normalise normalises the vector using the inner product from the Goursat Tetrahedron. 

Normalise(n) = n/sqrt(|<n,n>|)

func (*GoursatTetrahedron) Populate added in v1.3.17 

func (gt *GoursatTetrahedron) Populate()

func (*GoursatTetrahedron) ProjectToLine added in v1.3.17 

func (gt *GoursatTetrahedron) ProjectToLine(d, n, m vector.Vec4) vector.Vec4

func (*GoursatTetrahedron) ProjectToPlane added in v1.3.17 

func (gt *GoursatTetrahedron) ProjectToPlane(g, n vector.Vec4) vector.Vec4

ProjectToPlane removes the n component of g and returns the result using the inner product from gt

i.e. projects g to the hyperplane with normal n. 

ProjectToPlane(g, n) = g - <g,n> n

func (*GoursatTetrahedron) ReflectionGenerator added in v1.3.17 

func (gt *GoursatTetrahedron) ReflectionGenerator(n vector.Vec4) func(vector.Vec4) vector.Vec4

func (*GoursatTetrahedron) ScaleVEFC added in v1.3.17 

func (gt *GoursatTetrahedron) ScaleVEFC()

ScaleVEFC normalises the Goursat Tetrahedron's vertices with respect to the inner product.

func (*GoursatTetrahedron) UniformHoneycombGenerator added in v1.3.17 

func (gt *GoursatTetrahedron) UniformHoneycombGenerator(v, e, f, c float64) UniformHoneycomb

type Heights added in v1.3.17 

type Heights struct {
	V float64
	E float64
	F float64
	C float64
}

type Normals added in v1.3.17 

type Normals struct {
	EFC vector.Vec4
	VFC vector.Vec4
	VEC vector.Vec4
	VEF vector.Vec4
}

type Reflect added in v1.3.17 

type Reflect struct {
	Word   string
	Matrix []vector.Vec4
}

type ReflectionMatrices added in v1.3.17 

type ReflectionMatrices struct {
	A func(v vector.Vec4) vector.Vec4
	B func(v vector.Vec4) vector.Vec4
	C func(v vector.Vec4) vector.Vec4
	D func(v vector.Vec4) vector.Vec4
}

type Reflections added in v1.3.17 

type Reflections struct {
	V []Reflect
	E []Reflect
	F []Reflect
	C []Reflect
}

type UniformHoneycomb added in v1.3.17 

type UniformHoneycomb struct {
	GoursatTetrahedron GoursatTetrahedron
	G                  VectorIP
	G_VE               VectorIP
	G_VF               VectorIP
	G_VC               VectorIP
	G_EF               VectorIP
	G_EC               VectorIP
	G_FC               VectorIP
	G_VEF              VectorIP
	G_VEC              VectorIP
	G_VFC              VectorIP
	G_EFC              VectorIP
}

func (*UniformHoneycomb) GenerateCells added in v1.3.17 

func (uh *UniformHoneycomb) GenerateCells() []Cell

type VectorIP added in v1.3.17 

type VectorIP struct {
	Vector vector.Vec4
	IP     float64
}

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