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 Go to latest Published: Feb 23, 2017 License: MIT Imports: 11 Imported by: 18

Documentation

Index

Constants

View Source 
const EPS = 1e-9
View Source 
const INF = 1e9

Variables

View Source 
var ClipBox = Box{Vector{-1, -1, -1}, Vector{1, 1, 1}}
View Source 
var NoHit = Hit{nil, INF}

Functions

func Degrees 

func Degrees(radians float64) float64

func Median 

func Median(items []float64) float64

func ParseFloats 

func ParseFloats(items []string) []float64

func Radians 

func Radians(degrees float64) float64

func SaveBinarySTL 

func SaveBinarySTL(path string, mesh *Mesh) error

Types

type Axis 

type Axis uint8
const (
	AxisNone Axis = iota
	AxisX
	AxisY
	AxisZ
)

type BooleanShape 

type BooleanShape struct {
	Op   Op
	A, B Shape
}

func (*BooleanShape) BoundingBox 

func (s *BooleanShape) BoundingBox() Box

func (*BooleanShape) Compile 

func (s *BooleanShape) Compile()

func (*BooleanShape) Contains 

func (s *BooleanShape) Contains(v Vector, f float64) bool

func (*BooleanShape) Filter 

func (s *BooleanShape) Filter(v Vector) (Vector, bool)

func (*BooleanShape) Intersect 

func (s *BooleanShape) Intersect(r Ray) Hit

func (*BooleanShape) Paths 

func (s *BooleanShape) Paths() Paths

type Box 

type Box struct {
	Min, Max Vector
}

func BoxForShapes 

func BoxForShapes(shapes []Shape) Box

func BoxForTriangles 

func BoxForTriangles(shapes []*Triangle) Box

func BoxForVectors 

func BoxForVectors(vectors []Vector) Box

func (Box) Anchor 

func (a Box) Anchor(anchor Vector) Vector

func (Box) Center 

func (a Box) Center() Vector

func (Box) Contains 

func (a Box) Contains(b Vector) bool

func (Box) Extend 

func (a Box) Extend(b Box) Box

func (*Box) Intersect 

func (b *Box) Intersect(r Ray) (float64, float64)

func (*Box) Partition 

func (b *Box) Partition(axis Axis, point float64) (left, right bool)

func (Box) Size 

func (a Box) Size() Vector

type ClipFilter 

type ClipFilter struct {
	Matrix Matrix
	Eye    Vector
	Scene  *Scene
}

func (*ClipFilter) Filter 

func (f *ClipFilter) Filter(v Vector) (Vector, bool)

type Cone 

type Cone struct {
	Radius float64
	Height float64
}

func NewCone 

func NewCone(radius, height float64) *Cone

func (*Cone) BoundingBox 

func (c *Cone) BoundingBox() Box

func (*Cone) Compile 

func (c *Cone) Compile()

func (*Cone) Contains 

func (c *Cone) Contains(v Vector, f float64) bool

func (*Cone) Intersect 

func (shape *Cone) Intersect(ray Ray) Hit

func (*Cone) Paths 

func (c *Cone) Paths() Paths

type Cube 

type Cube struct {
	Min Vector
	Max Vector
	Box Box
}

func NewCube 

func NewCube(min, max Vector) *Cube

func (*Cube) BoundingBox 

func (c *Cube) BoundingBox() Box

func (*Cube) Compile 

func (c *Cube) Compile()

func (*Cube) Contains 

func (c *Cube) Contains(v Vector, f float64) bool

func (*Cube) Intersect 

func (c *Cube) Intersect(r Ray) Hit

func (*Cube) Paths 

func (c *Cube) Paths() Paths

type Cylinder 

type Cylinder struct {
	Radius float64
	Z0, Z1 float64
}

func NewCylinder 

func NewCylinder(radius, z0, z1 float64) *Cylinder

func (*Cylinder) BoundingBox 

func (c *Cylinder) BoundingBox() Box

func (*Cylinder) Compile 

func (c *Cylinder) Compile()

func (*Cylinder) Contains 

func (c *Cylinder) Contains(v Vector, f float64) bool

func (*Cylinder) Intersect 

func (shape *Cylinder) Intersect(ray Ray) Hit

func (*Cylinder) Paths 

func (c *Cylinder) Paths() Paths

type Direction 

type Direction int
const (
	Above Direction = iota
	Below
)

type EmptyShape 

type EmptyShape struct {
}

func (*EmptyShape) BoundingBox 

func (s *EmptyShape) BoundingBox() Box

func (*EmptyShape) Compile 

func (s *EmptyShape) Compile()

func (*EmptyShape) Contains 

func (s *EmptyShape) Contains(v Vector, f float64) bool

func (*EmptyShape) Intersect 

func (s *EmptyShape) Intersect(r Ray) Hit

func (*EmptyShape) Paths 

func (s *EmptyShape) Paths() Paths

type Filter 

type Filter interface {
	Filter(v Vector) (Vector, bool)
}

type Function 

type Function struct {
	Function  func(x, y float64) float64
	Box       Box
	Direction Direction
}

func (*Function) BoundingBox 

func (f *Function) BoundingBox() Box

func (*Function) Compile 

func (f *Function) Compile()

func (*Function) Contains 

func (f *Function) Contains(v Vector, eps float64) bool

func (*Function) Intersect 

func (f *Function) Intersect(ray Ray) Hit

func (*Function) Paths 

func (f *Function) Paths() Paths

func (*Function) Paths1 

func (f *Function) Paths1() Paths

func (*Function) Paths3 

func (f *Function) Paths3() Paths

type Hit 

type Hit struct {
	Shape Shape
	T     float64
}

func (Hit) Max 

func (a Hit) Max(b Hit) Hit

func (Hit) Min 

func (a Hit) Min(b Hit) Hit

func (Hit) Ok 

func (hit Hit) Ok() bool

type Matrix 

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

func Frustum 

func Frustum(l, r, b, t, n, f float64) Matrix

func Identity 

func Identity() Matrix

func LookAt 

func LookAt(eye, center, up Vector) Matrix

func Orthographic 

func Orthographic(l, r, b, t, n, f float64) Matrix

func Perspective 

func Perspective(fovy, aspect, near, far float64) Matrix

func Rotate 

func Rotate(v Vector, a float64) Matrix

func Scale 

func Scale(v Vector) Matrix

func Translate 

func Translate(v Vector) Matrix

func (Matrix) Determinant 

func (a Matrix) Determinant() float64

func (Matrix) Frustum 

func (m Matrix) Frustum(l, r, b, t, n, f float64) Matrix

func (Matrix) Inverse 

func (a Matrix) Inverse() Matrix

func (Matrix) Mul 

func (a Matrix) Mul(b Matrix) Matrix

func (Matrix) MulBox 

func (a Matrix) MulBox(box Box) Box

func (Matrix) MulDirection 

func (a Matrix) MulDirection(b Vector) Vector

func (Matrix) MulPosition 

func (a Matrix) MulPosition(b Vector) Vector

func (Matrix) MulPositionW 

func (a Matrix) MulPositionW(b Vector) Vector

func (Matrix) MulRay 

func (a Matrix) MulRay(b Ray) Ray

func (Matrix) Orthographic 

func (m Matrix) Orthographic(l, r, b, t, n, f float64) Matrix

func (Matrix) Perspective 

func (m Matrix) Perspective(fovy, aspect, near, far float64) Matrix

func (Matrix) Rotate 

func (m Matrix) Rotate(v Vector, a float64) Matrix

func (Matrix) Scale 

func (m Matrix) Scale(v Vector) Matrix

func (Matrix) Translate 

func (m Matrix) Translate(v Vector) Matrix

func (Matrix) Transpose 

func (a Matrix) Transpose() Matrix

type Mesh 

type Mesh struct {
	Box       Box
	Triangles []*Triangle
	Tree      *Tree
}

func LoadBinarySTL 

func LoadBinarySTL(path string) (*Mesh, error)

func LoadOBJ 

func LoadOBJ(path string) (*Mesh, error)

func LoadSTL 

func LoadSTL(path string) (*Mesh, error)

func NewMesh 

func NewMesh(triangles []*Triangle) *Mesh

func (*Mesh) BoundingBox 

func (m *Mesh) BoundingBox() Box

func (*Mesh) Compile 

func (m *Mesh) Compile()

func (*Mesh) Contains 

func (m *Mesh) Contains(v Vector, f float64) bool

func (*Mesh) FitInside 

func (m *Mesh) FitInside(box Box, anchor Vector)

func (*Mesh) Intersect 

func (m *Mesh) Intersect(r Ray) Hit

func (*Mesh) MoveTo 

func (m *Mesh) MoveTo(position, anchor Vector)

func (*Mesh) Paths 

func (m *Mesh) Paths() Paths

func (*Mesh) SaveBinarySTL 

func (m *Mesh) SaveBinarySTL(path string) error

func (*Mesh) Transform 

func (m *Mesh) Transform(matrix Matrix)

func (*Mesh) UnitCube 

func (m *Mesh) UnitCube()

func (*Mesh) UpdateBoundingBox 

func (m *Mesh) UpdateBoundingBox()

func (*Mesh) Voxelize 

func (m *Mesh) Voxelize(size float64) []*Cube

type Node 

type Node struct {
	Axis   Axis
	Point  float64
	Shapes []Shape
	Left   *Node
	Right  *Node
}

func NewNode 

func NewNode(shapes []Shape) *Node

func (*Node) Intersect 

func (node *Node) Intersect(r Ray, tmin, tmax float64) Hit

func (*Node) IntersectShapes 

func (node *Node) IntersectShapes(r Ray) Hit

func (*Node) Partition 

func (node *Node) Partition(size int, axis Axis, point float64) (left, right []Shape)

func (*Node) PartitionScore 

func (node *Node) PartitionScore(axis Axis, point float64) int

func (*Node) Split 

func (node *Node) Split(depth int)

type Op 

type Op int
const (
	Intersection Op = iota
	Difference
)

type OutlineCone 

type OutlineCone struct {
	Cone
	Eye Vector
	Up  Vector
}

func NewOutlineCone 

func NewOutlineCone(eye, up Vector, radius, height float64) *OutlineCone

func (*OutlineCone) Paths 

func (c *OutlineCone) Paths() Paths

type OutlineCylinder 

type OutlineCylinder struct {
	Cylinder
	Eye Vector
	Up  Vector
}

func NewOutlineCylinder 

func NewOutlineCylinder(eye, up Vector, radius, z0, z1 float64) *OutlineCylinder

func (*OutlineCylinder) Paths 

func (c *OutlineCylinder) Paths() Paths

type OutlineSphere 

type OutlineSphere struct {
	Sphere
	Eye Vector
	Up  Vector
}

func NewOutlineSphere 

func NewOutlineSphere(eye, up, center Vector, radius float64) *OutlineSphere

func (*OutlineSphere) Paths 

func (s *OutlineSphere) Paths() Paths

type Path 

type Path []Vector

func (Path) BoundingBox 

func (p Path) BoundingBox() Box

func (Path) Chop 

func (p Path) Chop(step float64) Path

func (Path) Filter 

func (p Path) Filter(f Filter) Paths

func (Path) Print 

func (p Path) Print()

func (Path) Simplify 

func (p Path) Simplify(threshold float64) Path

func (Path) String 

func (p Path) String() string

func (Path) ToSVG 

func (p Path) ToSVG() string

func (Path) Transform 

func (p Path) Transform(matrix Matrix) Path

type Paths 

type Paths []Path

func (Paths) BoundingBox 

func (p Paths) BoundingBox() Box

func (Paths) Chop 

func (p Paths) Chop(step float64) Paths

func (Paths) Filter 

func (p Paths) Filter(f Filter) Paths

func (Paths) Print 

func (p Paths) Print()

func (Paths) Simplify 

func (p Paths) Simplify(threshold float64) Paths

func (Paths) String 

func (p Paths) String() string

func (Paths) ToSVG 

func (p Paths) ToSVG(width, height float64) string

func (Paths) Transform 

func (p Paths) Transform(matrix Matrix) Paths

func (Paths) WriteToPNG 

func (p Paths) WriteToPNG(path string, width, height float64)

func (Paths) WriteToSVG 

func (p Paths) WriteToSVG(path string, width, height float64) error

func (Paths) WriteToTXT 

func (p Paths) WriteToTXT(path string) error

type Plane 

type Plane struct {
	Point  Vector
	Normal Vector
}

func (*Plane) IntersectMesh 

func (p *Plane) IntersectMesh(m *Mesh) Paths

func (*Plane) IntersectSegment 

func (p *Plane) IntersectSegment(v0, v1 Vector) (Vector, bool)

func (*Plane) IntersectTriangle 

func (p *Plane) IntersectTriangle(t *Triangle) (Vector, Vector, bool)

type Ray 

type Ray struct {
	Origin, Direction Vector
}

func (Ray) Position 

func (r Ray) Position(t float64) Vector

type STLHeader 

type STLHeader struct {
	Count uint32
	// contains filtered or unexported fields
}

type STLTriangle 

type STLTriangle struct {
	V1, V2, V3 [3]float32
	// contains filtered or unexported fields
}

type Scene 

type Scene struct {
	Shapes []Shape
	Tree   *Tree
}

func (*Scene) Add 

func (s *Scene) Add(shape Shape)

func (*Scene) Compile 

func (s *Scene) Compile()

func (*Scene) Intersect 

func (s *Scene) Intersect(r Ray) Hit

func (*Scene) Paths 

func (s *Scene) Paths() Paths

func (*Scene) Render 

func (s *Scene) Render(eye, center, up Vector, width, height, fovy, near, far, step float64) Paths

func (*Scene) RenderWithMatrix 

func (s *Scene) RenderWithMatrix(matrix Matrix, eye Vector, width, height, step float64) Paths

func (*Scene) Visible 

func (s *Scene) Visible(eye, point Vector) bool

type Shape 

type Shape interface {
	Compile()
	BoundingBox() Box
	Contains(Vector, float64) bool
	Intersect(Ray) Hit
	Paths() Paths
}

func NewBooleanShape 

func NewBooleanShape(op Op, shapes ...Shape) Shape

func NewDifference 

func NewDifference(shapes ...Shape) Shape

func NewFunction 

func NewFunction(function func(x, y float64) float64, box Box, direction Direction) Shape

func NewIntersection 

func NewIntersection(shapes ...Shape) Shape

func NewTransformedOutlineCone 

func NewTransformedOutlineCone(eye, up, v0, v1 Vector, radius float64) Shape

func NewTransformedOutlineCylinder 

func NewTransformedOutlineCylinder(eye, up, v0, v1 Vector, radius float64) Shape

func NewTransformedShape 

func NewTransformedShape(s Shape, m Matrix) Shape

type Sphere 

type Sphere struct {
	Center Vector
	Radius float64
	Box    Box
}

func NewSphere 

func NewSphere(center Vector, radius float64) *Sphere

func (*Sphere) BoundingBox 

func (s *Sphere) BoundingBox() Box

func (*Sphere) Compile 

func (s *Sphere) Compile()

func (*Sphere) Contains 

func (s *Sphere) Contains(v Vector, f float64) bool

func (*Sphere) Intersect 

func (s *Sphere) Intersect(r Ray) Hit

func (*Sphere) Paths 

func (s *Sphere) Paths() Paths

func (*Sphere) Paths2 

func (s *Sphere) Paths2() Paths

func (*Sphere) Paths3 

func (s *Sphere) Paths3() Paths

func (*Sphere) Paths4 

func (s *Sphere) Paths4() Paths

type TransformedShape 

type TransformedShape struct {
	Shape
	Matrix  Matrix
	Inverse Matrix
}

func (*TransformedShape) BoundingBox 

func (s *TransformedShape) BoundingBox() Box

func (*TransformedShape) Contains 

func (s *TransformedShape) Contains(v Vector, f float64) bool

func (*TransformedShape) Intersect 

func (s *TransformedShape) Intersect(r Ray) Hit

func (*TransformedShape) Paths 

func (s *TransformedShape) Paths() Paths

type Tree 

type Tree struct {
	Box  Box
	Root *Node
}

func NewTree 

func NewTree(shapes []Shape) *Tree

func (*Tree) Intersect 

func (tree *Tree) Intersect(r Ray) Hit

type Triangle 

type Triangle struct {
	V1, V2, V3 Vector
	Box        Box
}

func NewTriangle 

func NewTriangle(v1, v2, v3 Vector) *Triangle

func (*Triangle) BoundingBox 

func (t *Triangle) BoundingBox() Box

func (*Triangle) Compile 

func (t *Triangle) Compile()

func (*Triangle) Contains 

func (t *Triangle) Contains(v Vector, f float64) bool

func (*Triangle) Intersect 

func (t *Triangle) Intersect(r Ray) Hit

func (*Triangle) Paths 

func (t *Triangle) Paths() Paths

func (*Triangle) UpdateBoundingBox 

func (t *Triangle) UpdateBoundingBox()

type Vector 

type Vector struct {
	X, Y, Z float64
}

func LatLngToXYZ 

func LatLngToXYZ(lat, lng, radius float64) Vector

func RandomUnitVector 

func RandomUnitVector() Vector

func (Vector) Add 

func (a Vector) Add(b Vector) Vector

func (Vector) AddScalar 

func (a Vector) AddScalar(b float64) Vector

func (Vector) Cross 

func (a Vector) Cross(b Vector) Vector

func (Vector) Distance 

func (a Vector) Distance(b Vector) float64

func (Vector) DistanceSquared 

func (a Vector) DistanceSquared(b Vector) float64

func (Vector) Div 

func (a Vector) Div(b Vector) Vector

func (Vector) DivScalar 

func (a Vector) DivScalar(b float64) Vector

func (Vector) Dot 

func (a Vector) Dot(b Vector) float64

func (Vector) Length 

func (a Vector) Length() float64

func (Vector) LengthSquared 

func (a Vector) LengthSquared() float64

func (Vector) Max 

func (a Vector) Max(b Vector) Vector

func (Vector) Min 

func (a Vector) Min(b Vector) Vector

func (Vector) MinAxis 

func (a Vector) MinAxis() Vector

func (Vector) MinComponent 

func (a Vector) MinComponent() float64

func (Vector) Mul 

func (a Vector) Mul(b Vector) Vector

func (Vector) MulScalar 

func (a Vector) MulScalar(b float64) Vector

func (Vector) Normalize 

func (a Vector) Normalize() Vector

func (Vector) SegmentDistance 

func (p Vector) SegmentDistance(v Vector, w Vector) float64

func (Vector) Sub 

func (a Vector) Sub(b Vector) Vector

func (Vector) SubScalar 

func (a Vector) SubScalar(b float64) Vector

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