sdf

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 Go to latest Published: Oct 24, 2020 License: MIT Imports: 26 Imported by: 0

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Index

Constants

View Source 
const Mil = MillimetresPerInch / 1000.0

Mil is millimetres per 1/1000 of an inch

View Source 
const MillimetresPerInch = 25.4

MillimetresPerInch is millimetres per inch (25.4)

View Source 
const Pi = math.Pi

Pi (3.14159...)

View Source 
const Tau = 2 * math.Pi

Tau (2 * Pi).

Variables

This section is empty.

Functions

func Abs 

func Abs(x float64) float64

Abs returns the absolute value of x

func BenchmarkSDF2 

func BenchmarkSDF2(description string, s SDF2)

BenchmarkSDF2 reports the evaluation speed for an SDF2.

func BenchmarkSDF3 

func BenchmarkSDF3(description string, s SDF3)

BenchmarkSDF3 reports the evaluation speed for an SDF3.

func Clamp 

func Clamp(x, a, b float64) float64

Clamp x between a and b, assume a <= b

func DtoR 

func DtoR(degrees float64) float64

DtoR converts degrees to radians

func EqualFloat64 

func EqualFloat64(a, b, epsilon float64) bool

EqualFloat64 compares two float64 values for equality.

func FloatDecode 

func FloatDecode(x float64) string

FloatDecode returns a string that decodes the float64 bitfields.

func FloatEncode 

func FloatEncode(s int, f uint64, e int) float64

FloatEncode encodes a float64 from sign, fraction and exponent values.

func LoadFont 

func LoadFont(fname string) (*truetype.Font, error)

LoadFont loads a truetype (*.ttf) font file.

func MakeGenevaCam 

func MakeGenevaCam(
	numSectors int,
	centerDistance float64,
	driverRadius float64,
	drivenRadius float64,
	pinRadius float64,
	clearance float64,
) (SDF2, SDF2, error)

MakeGenevaCam makes 2d profiles for the driver/driven wheels of a geneva cam.

func MapCombinations 

func MapCombinations(n, k int, f func([]int))

MapCombinations applies a function f to each k-length combination from 0 to n-1.

func Max 

func Max(a, b float64) float64

Max returns the maximum of a and b

func Min 

func Min(a, b float64) float64

Min returns the minimum of a and b

func Mix 

func Mix(x, y, a float64) float64

Mix does a linear interpolation from x to y, a = [0,1]

func NextCombination 

func NextCombination(n int, a []int) bool

NextCombination generates the next k-length combination of 0 to n-1. (returns false when done).

func RenderDXF 

func RenderDXF(
	s SDF2,
	meshCells int,
	path string,
)

RenderDXF renders an SDF2 as a DXF file. (uses quadtree sampling)

func RenderDXFSlow 

func RenderDXFSlow(
	s SDF2,
	meshCells int,
	path string,
)

RenderDXFSlow renders an SDF2 as a DXF file. (uses uniform grid sampling)

func RenderSTL 

func RenderSTL(
	s SDF3,
	meshCells int,
	path string,
)

RenderSTL renders an SDF3 as an STL file (uses octree sampling).

func RenderSTLSlow 

func RenderSTLSlow(
	s SDF3,
	meshCells int,
	path string,
)

RenderSTLSlow renders an SDF3 as an STL file (uses uniform grid sampling).

func RenderSVG 

func RenderSVG(
	s SDF2,
	meshCells int,
	path string,
	lineStyle string,
) error

RenderSVG renders an SDF2 as an SVG file. (uses quadtree sampling)

func RenderSVGSlow 

func RenderSVGSlow(
	s SDF2,
	meshCells int,
	path string,
	lineStyle string,
) error

RenderSVGSlow renders an SDF2 as an SVG file. (uses uniform grid sampling)

func RtoD 

func RtoD(radians float64) float64

RtoD converts radians to degrees

func Save3MF 

func Save3MF(path string, mesh []*Triangle3) error

Save3MF writes a triangle mesh to an STL file.

func SaveDXF 

func SaveDXF(path string, mesh []*Line) error

SaveDXF writes line segments to a DXF file.

func SaveSTL 

func SaveSTL(path string, mesh []*Triangle3) error

SaveSTL writes a triangle mesh to an STL file.

func SaveSVG 

func SaveSVG(path, lineStyle string, mesh []*Line) error

SaveSVG writes line segments to an SVG file.

func SawTooth 

func SawTooth(x, period float64) float64

SawTooth generates a sawtooth function. Returns [-period/2, period/2)

func Sign 

func Sign(x float64) float64

Sign returns the sign of x

func TriDiagonal 

func TriDiagonal(m []V3, d []float64) []float64

TriDiagonal solves the tridiagonal matrix equation m.x = d, returns x. See: https://en.wikipedia.org/wiki/Tridiagonal_matrix_algorithm

func WriteDXF 

func WriteDXF(wg *sync.WaitGroup, path string) (chan<- *Line, error)

WriteDXF writes a stream of line segments to a DXF file.

func WriteSTL 

func WriteSTL(wg *sync.WaitGroup, path string) (chan<- *Triangle3, error)

WriteSTL writes a stream of triangles to an STL file.

func WriteSVG 

func WriteSVG(wg *sync.WaitGroup, path, lineStyle string) (chan<- *Line, error)

WriteSVG writes a stream of line segments to an SVG file.

func ZeroSmall 

func ZeroSmall(x, y, epsilon float64) float64

ZeroSmall zeroes out values that are small relative to a quantity.

Types

type ArcSpiralSDF2 

type ArcSpiralSDF2 struct {
	// contains filtered or unexported fields
}

ArcSpiralSDF2 is a 2d Archimedean spiral.

func (*ArcSpiralSDF2) BoundingBox 

func (s *ArcSpiralSDF2) BoundingBox() Box2

BoundingBox returns the bounding box of a 2d Archimedean spiral.

func (*ArcSpiralSDF2) Evaluate 

func (s *ArcSpiralSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to a 2d Archimedean spiral.

type ArraySDF2 

type ArraySDF2 struct {
	// contains filtered or unexported fields
}

ArraySDF2 defines an XY grid array of an existing SDF2.

func (*ArraySDF2) BoundingBox 

func (s *ArraySDF2) BoundingBox() Box2

BoundingBox returns the bounding box of a grid array of SDF2s.

func (*ArraySDF2) Evaluate 

func (s *ArraySDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to a grid array of SDF2s.

func (*ArraySDF2) SetMin 

func (s *ArraySDF2) SetMin(min MinFunc)

SetMin sets the minimum function to control blending.

type ArraySDF3 

type ArraySDF3 struct {
	// contains filtered or unexported fields
}

ArraySDF3 stores an XYZ array of a given SDF3

func (*ArraySDF3) BoundingBox 

func (s *ArraySDF3) BoundingBox() Box3

BoundingBox returns the bounding box of an XYZ SDF3 array.

func (*ArraySDF3) Evaluate 

func (s *ArraySDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to an XYZ SDF3 array.

func (*ArraySDF3) SetMin 

func (s *ArraySDF3) SetMin(min MinFunc)

SetMin sets the minimum function to control blending.

type Bezier 

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

Bezier curve specification..

func NewBezier 

func NewBezier() *Bezier

NewBezier returns an empty bezier curve.

func (*Bezier) Add 

func (b *Bezier) Add(x, y float64) *BezierVertex

Add an x,y vertex to a polygon.

func (*Bezier) AddV2 

func (b *Bezier) AddV2(x V2) *BezierVertex

AddV2 adds a V2 vertex to a polygon.

func (*Bezier) Close 

func (b *Bezier) Close()

Close the bezier curve.

func (*Bezier) Polygon 

func (b *Bezier) Polygon() *Polygon

Polygon returns a polygon approximating the bezier curve.

type BezierPolynomial 

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

BezierPolynomial contains the bezier polynomial parameters.

func (*BezierPolynomial) Set 

func (p *BezierPolynomial) Set(x []float64)

Set calculates bezier polynomial coefficients given the end/control points.

type BezierSpline 

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

BezierSpline contains the x/y bezier curves for a 2D spline.

func NewBezierSpline 

func NewBezierSpline(p []V2) *BezierSpline

NewBezierSpline returns a bezier spline from the provided control/end points.

func (*BezierSpline) Sample 

func (s *BezierSpline) Sample(p *Polygon, t0, t1 float64, p0, p1 V2, n int)

Sample generates polygon samples for a bezier spline.

type BezierVertex 

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

BezierVertex specifies the vertex for a bezier curve.

func (*BezierVertex) Handle 

func (v *BezierVertex) Handle(theta, fwd, rev float64) *BezierVertex

Handle marks the vertex with a slope control handle.

func (*BezierVertex) HandleFwd 

func (v *BezierVertex) HandleFwd(theta, r float64) *BezierVertex

HandleFwd sets the slope handle in the forward direction.

func (*BezierVertex) HandleRev 

func (v *BezierVertex) HandleRev(theta, r float64) *BezierVertex

HandleRev sets the slope handle in the reverse direction.

func (*BezierVertex) Mid 

func (v *BezierVertex) Mid() *BezierVertex

Mid marks the vertex as a mid-curve control point.

type BoltParms 

type BoltParms struct {
	Thread      string  // name of thread
	Style       string  // head style "hex" or "knurl"
	Tolerance   float64 // subtract from external thread radius
	TotalLength float64 // threaded length + shank length
	ShankLength float64 // non threaded length
}

BoltParms defines the parameters for a bolt.

type Box2 

type Box2 struct {
	Min, Max V2
}

Box2 is a 2d bounding box.

func NewBox2 

func NewBox2(center, size V2) Box2

NewBox2 creates a 2d box with a given center and size.

func (Box2) BottomLeft 

func (a Box2) BottomLeft() V2

BottomLeft returns the bottom left corner of a 2d bounding box.

func (Box2) Center 

func (a Box2) Center() V2

Center returns the center of a 2d box.

func (Box2) Equals 

func (a Box2) Equals(b Box2, tolerance float64) bool

Equals test the equality of 2d boxes.

func (Box2) Extend 

func (a Box2) Extend(b Box2) Box2

Extend returns a box that encloses two 2d boxes.

func (Box2) MinMaxDist2 

func (a Box2) MinMaxDist2(p V2) V2

MinMaxDist2 returns the minimum and maximum dist * dist from a point to a box. Points within the box have minimum distance = 0.

func (*Box2) Random 

func (b *Box2) Random() V2

Random returns a random point within a bounding box.

func (*Box2) RandomSet 

func (b *Box2) RandomSet(n int) V2Set

RandomSet returns a set of random points from within a bounding box.

func (Box2) ScaleAboutCenter 

func (a Box2) ScaleAboutCenter(k float64) Box2

ScaleAboutCenter returns a new 2d box scaled about the center of a box.

func (Box2) Size 

func (a Box2) Size() V2

Size returns the size of a 2d box.

func (Box2) TopLeft 

func (a Box2) TopLeft() V2

TopLeft returns the top left corner of a 2d bounding box.

func (Box2) Translate 

func (a Box2) Translate(v V2) Box2

Translate translates a 2d box.

func (Box2) Vertices 

func (a Box2) Vertices() V2Set

Vertices returns a slice of 2d box corner vertices.

type Box3 

type Box3 struct {
	Min, Max V3
}

Box3 is a 3d bounding box.

func NewBox3 

func NewBox3(center, size V3) Box3

NewBox3 creates a 3d box with a given center and size.

func (Box3) Center 

func (a Box3) Center() V3

Center returns the center of a 3d box.

func (Box3) Equals 

func (a Box3) Equals(b Box3, tolerance float64) bool

Equals test the equality of 3d boxes.

func (Box3) Extend 

func (a Box3) Extend(b Box3) Box3

Extend returns a box that encloses two 3d boxes.

func (Box3) MinMaxDist2 

func (a Box3) MinMaxDist2(p V3) V2

MinMaxDist2 returns the minimum and maximum dist * dist from a point to a box. Points within the box have minimum distance = 0.

func (*Box3) Random 

func (b *Box3) Random() V3

Random returns a random point within a bounding box.

func (*Box3) RandomSet 

func (b *Box3) RandomSet(n int) V3Set

RandomSet returns a set of random points from within a bounding box.

func (Box3) ScaleAboutCenter 

func (a Box3) ScaleAboutCenter(k float64) Box3

ScaleAboutCenter returns a new 3d box scaled about the center of a box.

func (Box3) Size 

func (a Box3) Size() V3

Size returns the size of a 3d box.

func (Box3) Translate 

func (a Box3) Translate(v V3) Box3

Translate translates a 3d box.

func (Box3) Vertices 

func (a Box3) Vertices() V3Set

Vertices returns a slice of 3d box corner vertices.

type BoxSDF2 

type BoxSDF2 struct {
	// contains filtered or unexported fields
}

BoxSDF2 is the 2d signed distance object for a rectangular box.

func (*BoxSDF2) BoundingBox 

func (s *BoxSDF2) BoundingBox() Box2

BoundingBox returns the bounding box for a 2d box.

func (*BoxSDF2) Evaluate 

func (s *BoxSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to a 2d box.

type BoxSDF3 

type BoxSDF3 struct {
	// contains filtered or unexported fields
}

BoxSDF3 is a 3d box.

func (*BoxSDF3) BoundingBox 

func (s *BoxSDF3) BoundingBox() Box3

BoundingBox returns the bounding box for a 3d box.

func (*BoxSDF3) Evaluate 

func (s *BoxSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to a 3d box.

type CircleSDF2 

type CircleSDF2 struct {
	// contains filtered or unexported fields
}

CircleSDF2 is the 2d signed distance object for a circle.

func (*CircleSDF2) BoundingBox 

func (s *CircleSDF2) BoundingBox() Box2

BoundingBox returns the bounding box of a 2d circle.

func (*CircleSDF2) Evaluate 

func (s *CircleSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to a 2d circle.

type ConeSDF3 

type ConeSDF3 struct {
	// contains filtered or unexported fields
}

ConeSDF3 is a truncated cone.

func (*ConeSDF3) BoundingBox 

func (s *ConeSDF3) BoundingBox() Box3

BoundingBox return the bounding box for the trucated cone..

func (*ConeSDF3) Evaluate 

func (s *ConeSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to a trucated cone.

type CubicPolynomial 

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

CubicPolynomial is a cubic polynomial

func (*CubicPolynomial) Set 

func (p *CubicPolynomial) Set(y0, y1, D0, D1 float64)

Set cubic polynomial coefficient values.

type CubicSpline 

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

CubicSpline is a 2d cubic spline.

func (*CubicSpline) BoundingBox 

func (s *CubicSpline) BoundingBox() Box2

BoundingBox returns the bounding box for a cubic spline.

type CubicSplineSDF2 

type CubicSplineSDF2 struct {
	// contains filtered or unexported fields
}

CubicSplineSDF2 is an SDF2 made from a set of cubic splines.

func (*CubicSplineSDF2) BoundingBox 

func (s *CubicSplineSDF2) BoundingBox() Box2

BoundingBox returns the 2d bounding box of a cubic spline.

func (*CubicSplineSDF2) Evaluate 

func (s *CubicSplineSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance from a point to the cubic spline SDF2. Note: This uses Newton-Raphson minimisation and is unstable in some circumstances. A simple (and slower) solution is to convert the cubic spline SDF2 to a polygon SDF2 and use that for rendering.

func (*CubicSplineSDF2) PolySpline2D 

func (s *CubicSplineSDF2) PolySpline2D(n int) SDF2

PolySpline2D returns a polygon SDF2 approximating a cubic spline SDF2.

func (*CubicSplineSDF2) Polygonize 

func (s *CubicSplineSDF2) Polygonize(n int) *Polygon

Polygonize returns a polygon approximating the cubic spline SDF2.

type CutSDF2 

type CutSDF2 struct {
	// contains filtered or unexported fields
}

CutSDF2 is an SDF2 made by cutting across an existing SDF2.

func (*CutSDF2) BoundingBox 

func (s *CutSDF2) BoundingBox() Box2

BoundingBox returns the bounding box for the cut SDF2.

func (*CutSDF2) Evaluate 

func (s *CutSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to cut SDF2.

type CutSDF3 

type CutSDF3 struct {
	// contains filtered or unexported fields
}

CutSDF3 makes a planar cut through an SDF3.

func (*CutSDF3) BoundingBox 

func (s *CutSDF3) BoundingBox() Box3

BoundingBox returns the bounding box of the cut SDF3.

func (*CutSDF3) Evaluate 

func (s *CutSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to the cut SDF3.

type CylinderSDF3 

type CylinderSDF3 struct {
	// contains filtered or unexported fields
}

CylinderSDF3 is a cylinder.

func (*CylinderSDF3) BoundingBox 

func (s *CylinderSDF3) BoundingBox() Box3

BoundingBox returns the bounding box for a cylinder.

func (*CylinderSDF3) Evaluate 

func (s *CylinderSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to a cylinder.

type DXF 

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

DXF is a dxf drawing object.

func NewDXF 

func NewDXF(name string) *DXF

NewDXF returns an empty dxf drawing object.

func (*DXF) Line 

func (d *DXF) Line(p0, p1 V2)

Line adds a line to a dxf drawing object.

func (*DXF) Lines 

func (d *DXF) Lines(s V2Set)

Lines adds a set of lines to a dxf drawing object.

func (*DXF) Points 

func (d *DXF) Points(s V2Set, r float64)

Points adds a set of points to a dxf drawing object.

func (*DXF) Save 

func (d *DXF) Save() error

Save writes a dxf drawing object to a file.

func (*DXF) Triangle 

func (d *DXF) Triangle(t Triangle2)

Triangle adds a triangle to a dxf drawing object.

type DifferenceSDF2 

type DifferenceSDF2 struct {
	// contains filtered or unexported fields
}

DifferenceSDF2 is the difference of two SDF2s.

func (*DifferenceSDF2) BoundingBox 

func (s *DifferenceSDF2) BoundingBox() Box2

BoundingBox returns the bounding box of the difference of two SDF2s.

func (*DifferenceSDF2) Evaluate 

func (s *DifferenceSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to the difference of two SDF2s.

func (*DifferenceSDF2) SetMax 

func (s *DifferenceSDF2) SetMax(max MaxFunc)

SetMax sets the maximum function to control blending.

type DifferenceSDF3 

type DifferenceSDF3 struct {
	// contains filtered or unexported fields
}

DifferenceSDF3 is the difference of two SDF3s, s0 - s1.

func (*DifferenceSDF3) BoundingBox 

func (s *DifferenceSDF3) BoundingBox() Box3

BoundingBox returns the bounding box of the SDF3 difference.

func (*DifferenceSDF3) Evaluate 

func (s *DifferenceSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to the SDF3 difference.

func (*DifferenceSDF3) SetMax 

func (s *DifferenceSDF3) SetMax(max MaxFunc)

SetMax sets the maximum function to control blending.

type EdgeI 

type EdgeI [2]int

EdgeI is a 2d/3d edge referencing a list of vertices.

type ElongateSDF2 

type ElongateSDF2 struct {
	// contains filtered or unexported fields
}

ElongateSDF2 is the elongation of an SDF2.

func (*ElongateSDF2) BoundingBox 

func (s *ElongateSDF2) BoundingBox() Box2

BoundingBox returns the bounding box of an elongated SDF2.

func (*ElongateSDF2) Evaluate 

func (s *ElongateSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to an elongated SDF2.

type ElongateSDF3 

type ElongateSDF3 struct {
	// contains filtered or unexported fields
}

ElongateSDF3 is the elongation of an SDF3.

func (*ElongateSDF3) BoundingBox 

func (s *ElongateSDF3) BoundingBox() Box3

BoundingBox returns the bounding box of an elongated SDF3.

func (*ElongateSDF3) Evaluate 

func (s *ElongateSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to a elongated SDF2.

type ExtrudeFunc 

type ExtrudeFunc func(p V3) V2

ExtrudeFunc maps V3 to V2 - the point used to evaluate the SDF2.

func ScaleExtrude 

func ScaleExtrude(height float64, scale V2) ExtrudeFunc

ScaleExtrude returns an extrusion functions that scales with z.

func ScaleTwistExtrude 

func ScaleTwistExtrude(height, twist float64, scale V2) ExtrudeFunc

ScaleTwistExtrude returns an extrusion function that scales and twists with z.

func TwistExtrude 

func TwistExtrude(height, twist float64) ExtrudeFunc

TwistExtrude returns an extrusion function that twists with z.

type ExtrudeRoundedSDF3 

type ExtrudeRoundedSDF3 struct {
	// contains filtered or unexported fields
}

ExtrudeRoundedSDF3 extrudes an SDF2 to an SDF3 with rounded edges.

func (*ExtrudeRoundedSDF3) BoundingBox 

func (s *ExtrudeRoundedSDF3) BoundingBox() Box3

BoundingBox returns the bounding box for a rounded extrusion.

func (*ExtrudeRoundedSDF3) Evaluate 

func (s *ExtrudeRoundedSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to a rounded extrusion.

type ExtrudeSDF3 

type ExtrudeSDF3 struct {
	// contains filtered or unexported fields
}

ExtrudeSDF3 extrudes an SDF2 to an SDF3.

func (*ExtrudeSDF3) BoundingBox 

func (s *ExtrudeSDF3) BoundingBox() Box3

BoundingBox returns the bounding box for an extrusion.

func (*ExtrudeSDF3) Evaluate 

func (s *ExtrudeSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to an extrusion.

func (*ExtrudeSDF3) SetExtrude 

func (s *ExtrudeSDF3) SetExtrude(extrude ExtrudeFunc)

SetExtrude sets the extrusion control function.

type FingerButtonParms 

type FingerButtonParms struct {
	Width  float64 // finger width
	Gap    float64 // gap between finger and body
	Length float64 // length of the finger
}

FingerButtonParms defines the parameters for a 2D finger button.

type Flange1 

type Flange1 struct {
	// contains filtered or unexported fields
}

Flange1 is a flange shape made from a center circle with two side circles.

func (*Flange1) BoundingBox 

func (s *Flange1) BoundingBox() Box2

BoundingBox returns the bounding box for the flange.

func (*Flange1) Evaluate 

func (s *Flange1) Evaluate(p V2) float64

Evaluate returns the minimum distance to the flange.

type FlatFlankCamSDF2 

type FlatFlankCamSDF2 struct {
	// contains filtered or unexported fields
}

FlatFlankCamSDF2 is 2d cam profile. The profile is made from a base circle, a smaller nose circle and flat, tangential flanks.

func (*FlatFlankCamSDF2) BoundingBox 

func (s *FlatFlankCamSDF2) BoundingBox() Box2

BoundingBox returns the bounding box for the cam.

func (*FlatFlankCamSDF2) Evaluate 

func (s *FlatFlankCamSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to the cam.

type GearRackSDF2 

type GearRackSDF2 struct {
	// contains filtered or unexported fields
}

GearRackSDF2 is a 2d linear gear rack.

func (*GearRackSDF2) BoundingBox 

func (s *GearRackSDF2) BoundingBox() Box2

BoundingBox returns the bounding box for the gear rack.

func (*GearRackSDF2) Evaluate 

func (s *GearRackSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to the gear rack.

type IntersectionSDF3 

type IntersectionSDF3 struct {
	// contains filtered or unexported fields
}

IntersectionSDF3 is the intersection of two SDF3s.

func (*IntersectionSDF3) BoundingBox 

func (s *IntersectionSDF3) BoundingBox() Box3

BoundingBox returns the bounding box of an SDF3 intersection.

func (*IntersectionSDF3) Evaluate 

func (s *IntersectionSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to the SDF3 intersection.

func (*IntersectionSDF3) SetMax 

func (s *IntersectionSDF3) SetMax(max MaxFunc)

SetMax sets the maximum function to control blending.

type Line 

type Line [2]V2

Line is a 2d line segment defined with 2 points.

func (Line) Degenerate 

func (l Line) Degenerate(tolerance float64) bool

Degenerate returns true if the line is degenerate.

type Line2 

type Line2 struct {
	// contains filtered or unexported fields
}

Line2 is a 2d line defined as either point/point or point/vector.

func (Line2) Distance 

func (l Line2) Distance(p V2) float64

Distance returns the distance to the line. Greater than 0 implies to the right of the line vector.

func (Line2) Intersect 

func (l Line2) Intersect(lx Line2) (float64, float64, error)

Intersect returns the t parameters for the intersection between lines l and lx

func (Line2) Position 

func (l Line2) Position(t float64) V2

Position returns the position on the line given the t value.

type LineSDF2 

type LineSDF2 struct {
	// contains filtered or unexported fields
}

LineSDF2 is the 2d signed distance object for a line.

func (*LineSDF2) BoundingBox 

func (s *LineSDF2) BoundingBox() Box2

BoundingBox returns the bounding box for a 2d line.

func (*LineSDF2) Evaluate 

func (s *LineSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to a 2d line.

type LoftSDF3 

type LoftSDF3 struct {
	// contains filtered or unexported fields
}

LoftSDF3 is an extrusion between two SDF2s.

func (*LoftSDF3) BoundingBox 

func (s *LoftSDF3) BoundingBox() Box3

BoundingBox returns the bounding box for a loft extrusion.

func (*LoftSDF3) Evaluate 

func (s *LoftSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to a loft extrusion.

type M22 

type M22 struct {
	// contains filtered or unexported fields
}

M22 is a 2x2 matrix.

func Identity 

func Identity() M22

Identity returns a 2x2 identity matrix.

func RandomM22 

func RandomM22(a, b float64) M22

RandomM22 returns a 2x2 matrix with random elements.

func Rotate 

func Rotate(a float64) M22

Rotate returns an orthographic 2x2 rotation matrix (right hand rule).

func (M22) Determinant 

func (a M22) Determinant() float64

Determinant returns the determinant of a 2x2 matrix.

func (M22) Equals 

func (a M22) Equals(b M22, tolerance float64) bool

Equals tests the equality of 2x2 matrices.

func (M22) Inverse 

func (a M22) Inverse() M22

Inverse returns the inverse of a 2x2 matrix.

func (M22) Mul 

func (a M22) Mul(b M22) M22

Mul multiplies 2x2 matrices.

func (M22) MulPosition 

func (a M22) MulPosition(b V2) V2

MulPosition multiplies a V2 position with a rotate matrix.

type M33 

type M33 struct {
	// contains filtered or unexported fields
}

M33 is a 3x3 matrix.

func Identity2d 

func Identity2d() M33

Identity2d returns a 3x3 identity matrix.

func MirrorX 

func MirrorX() M33

MirrorX returns a 3x3 matrix with mirroring across the X axis.

func MirrorY 

func MirrorY() M33

MirrorY returns a 3x3 matrix with mirroring across the Y axis.

func RandomM33 

func RandomM33(a, b float64) M33

RandomM33 returns a 3x3 matrix with random elements.

func Rotate2d 

func Rotate2d(a float64) M33

Rotate2d returns an orthographic 3x3 rotation matrix (right hand rule).

func Scale2d 

func Scale2d(v V2) M33

Scale2d returns a 3x3 scaling matrix. Scaling does not preserve distance. See: ScaleUniform2D().

func Translate2d 

func Translate2d(v V2) M33

Translate2d returns a 3x3 translation matrix.

func (M33) Determinant 

func (a M33) Determinant() float64

Determinant returns the determinant of a 3x3 matrix.

func (M33) Equals 

func (a M33) Equals(b M33, tolerance float64) bool

Equals tests the equality of 3x3 matrices.

func (M33) Inverse 

func (a M33) Inverse() M33

Inverse returns the inverse of a 3x3 matrix.

func (M33) Mul 

func (a M33) Mul(b M33) M33

Mul multiplies 3x3 matrices.

func (M33) MulBox 

func (a M33) MulBox(box Box2) Box2

MulBox rotates/translates a 2d bounding box and resizes for axis-alignment.

func (M33) MulPosition 

func (a M33) MulPosition(b V2) V2

MulPosition multiplies a V2 position with a rotate/translate matrix.

type M44 

type M44 struct {
	// contains filtered or unexported fields
}

M44 is a 4x4 matrix.

func Identity3d 

func Identity3d() M44

Identity3d returns a 4x4 identity matrix.

func MirrorXY 

func MirrorXY() M44

MirrorXY returns a 4x4 matrix with mirroring across the XY plane.

func MirrorXZ 

func MirrorXZ() M44

MirrorXZ returns a 4x4 matrix with mirroring across the XZ plane.

func MirrorYZ 

func MirrorYZ() M44

MirrorYZ returns a 4x4 matrix with mirroring across the YZ plane.

func RandomM44 

func RandomM44(a, b float64) M44

RandomM44 returns a 4x4 matrix with random elements.

func Rotate3d 

func Rotate3d(v V3, a float64) M44

Rotate3d returns an orthographic 4x4 rotation matrix (right hand rule).

func RotateX 

func RotateX(a float64) M44

RotateX returns a 4x4 matrix with rotation about the X axis.

func RotateY 

func RotateY(a float64) M44

RotateY returns a 4x4 matrix with rotation about the Y axis.

func RotateZ 

func RotateZ(a float64) M44

RotateZ returns a 4x4 matrix with rotation about the Z axis.

func Scale3d 

func Scale3d(v V3) M44

Scale3d returns a 4x4 scaling matrix. Scaling does not preserve distance. See: ScaleUniform3D()

func Translate3d 

func Translate3d(v V3) M44

Translate3d returns a 4x4 translation matrix.

func (M44) Determinant 

func (a M44) Determinant() float64

Determinant returns the determinant of a 4x4 matrix.

func (M44) Equals 

func (a M44) Equals(b M44, tolerance float64) bool

Equals tests the equality of 4x4 matrices.

func (M44) Inverse 

func (a M44) Inverse() M44

Inverse returns the inverse of a 4x4 matrix.

func (M44) Mul 

func (a M44) Mul(b M44) M44

Mul multiplies 4x4 matrices.

func (M44) MulBox 

func (a M44) MulBox(box Box3) Box3

MulBox rotates/translates a 3d bounding box and resizes for axis-alignment.

func (M44) MulPosition 

func (a M44) MulPosition(b V3) V3

MulPosition multiplies a V3 position with a rotate/translate matrix.

type Map2 

type Map2 struct {
	// contains filtered or unexported fields
}

Map2 maps a 2d region to integer grid coordinates.

func NewMap2 

func NewMap2(bb Box2, grid V2i, flipy bool) (*Map2, error)

NewMap2 returns a 2d region to grid coordinates map.

func (*Map2) ToV2 

func (m *Map2) ToV2(p V2i) V2

ToV2 converts grid integer coordinates to 2d region float coordinates.

func (*Map2) ToV2i 

func (m *Map2) ToV2i(p V2) V2i

ToV2i converts 2d region float coordinates to grid integer coordinates.

type MaxFunc 

type MaxFunc func(a, b float64) float64

MaxFunc is a maximum function for SDF blending.

func PolyMax 

func PolyMax(k float64) MaxFunc

PolyMax returns a maximum function (Try k = 0.1, a bigger k gives a bigger fillet).

type MinFunc 

type MinFunc func(a, b float64) float64

MinFunc is a minimum functions for SDF blending.

func ChamferMin 

func ChamferMin(k float64) MinFunc

ChamferMin returns a minimum function that makes a 45-degree chamfered edge (the diagonal of a square of size <r>). TODO: why the holes in the rendering?

func ExpMin 

func ExpMin(k float64) MinFunc

ExpMin returns a minimum function with exponential smoothing (k = 32).

func PolyMin 

func PolyMin(k float64) MinFunc

PolyMin returns a minimum function (Try k = 0.1, a bigger k gives a bigger fillet).

func PowMin 

func PowMin(k float64) MinFunc

PowMin returns a minimum function (k = 8). TODO - weird results, is this correct?

func RoundMin 

func RoundMin(k float64) MinFunc

RoundMin returns a minimum function that uses a quarter-circle to join the two objects smoothly.

type MultiCircleSDF2 

type MultiCircleSDF2 struct {
	// contains filtered or unexported fields
}

MultiCircleSDF2 is an SDF2 made from multiple circles (used for hole patterns).

func (*MultiCircleSDF2) BoundingBox 

func (s *MultiCircleSDF2) BoundingBox() Box2

BoundingBox returns the bounding box for multiple circles.

func (*MultiCircleSDF2) Evaluate 

func (s *MultiCircleSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to multiple circles.

type MultiCylinderSDF3 

type MultiCylinderSDF3 struct {
	// contains filtered or unexported fields
}

MultiCylinderSDF3 is an SDF3 containing multiple cylinders.

func (*MultiCylinderSDF3) BoundingBox 

func (s *MultiCylinderSDF3) BoundingBox() Box3

BoundingBox return the bounding box for multiple cylinders.

func (*MultiCylinderSDF3) Evaluate 

func (s *MultiCylinderSDF3) Evaluate(p V3) float64

Evaluate return the minimum distance to multiple cylinders.

type NutParms 

type NutParms struct {
	Thread    string  // name of thread
	Style     string  // head style "hex" or "knurl"
	Tolerance float64 // add to internal thread radius
}

NutParms defines the parameters for a nut.

type OffsetSDF2 

type OffsetSDF2 struct {
	// contains filtered or unexported fields
}

OffsetSDF2 offsets the distance function of an existing SDF2.

func (*OffsetSDF2) BoundingBox 

func (s *OffsetSDF2) BoundingBox() Box2

BoundingBox returns the bounding box of an offset SDF2.

func (*OffsetSDF2) Evaluate 

func (s *OffsetSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to an offset SDF2.

type OffsetSDF3 

type OffsetSDF3 struct {
	// contains filtered or unexported fields
}

OffsetSDF3 offsets the distance function of an existing SDF3.

func (*OffsetSDF3) BoundingBox 

func (s *OffsetSDF3) BoundingBox() Box3

BoundingBox returns the bounding box of an offset SDF3.

func (*OffsetSDF3) Evaluate 

func (s *OffsetSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to an offset SDF3.

type P2 

type P2 struct {
	R, Theta float64
}

P2 is a 2d float64 polar vector.

func (P2) PolarToCartesian 

func (a P2) PolarToCartesian() V2

PolarToCartesian converts a polar to a cartesian coordinate.

type PNG 

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

PNG is a png image object.

func NewPNG 

func NewPNG(name string, bb Box2, pixels V2i) (*PNG, error)

NewPNG returns an empty PNG object.

func (*PNG) Line 

func (d *PNG) Line(p0, p1 V2)

Line adds a line to a png object.

func (*PNG) Lines 

func (d *PNG) Lines(s V2Set)

Lines adds a a set of lines line to a png object.

func (*PNG) RenderSDF2 

func (d *PNG) RenderSDF2(s SDF2)

RenderSDF2 renders a 2d signed distance field as gray scale.

func (*PNG) Save 

func (d *PNG) Save() error

Save saves a png object to a file.

func (*PNG) Triangle 

func (d *PNG) Triangle(t Triangle2)

Triangle adds a triangle to a png object.

type PanelBoxParms 

type PanelBoxParms struct {
	Size       V3      // outer box dimensions (width, height, length)
	Wall       float64 // wall thickness
	Panel      float64 // front/back panel thickness
	Rounding   float64 // radius of corner rounding
	FrontInset float64 // inset depth of box front
	BackInset  float64 // inset depth of box back
	Clearance  float64 // fit clearance (typically 0.05)
	Hole       float64 // diameter of screw holes
	SideTabs   string  // tab pattern b/B (bottom) t/T (top) . (empty)
}

PanelBoxParms defines the parameters for a 4 part panel box.

type PanelParms 

type PanelParms struct {
	Size         V2
	CornerRadius float64
	HoleDiameter float64
	HoleMargin   [4]float64 // top, right, bottom, left
	HolePattern  [4]string  // top, right, bottom, left
}

PanelParms defines the parameters for a 2D panel.

type PolySDF2 

type PolySDF2 struct {
	// contains filtered or unexported fields
}

PolySDF2 is an SDF2 made from a closed set of line segments.

func (*PolySDF2) BoundingBox 

func (s *PolySDF2) BoundingBox() Box2

BoundingBox returns the bounding box of a 2d polygon.

func (*PolySDF2) Evaluate 

func (s *PolySDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance for a 2d polygon.

func (*PolySDF2) Vertices 

func (s *PolySDF2) Vertices() []V2

Vertices returns the set of vertices for a 2d polygon.

type Polygon 

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

Polygon stores a set of 2d polygon vertices.

func NewPolygon 

func NewPolygon() *Polygon

NewPolygon returns an empty polygon.

func (*Polygon) Add 

func (p *Polygon) Add(x, y float64) *PolygonVertex

Add an x,y vertex to a polygon.

func (*Polygon) AddV2 

func (p *Polygon) AddV2(x V2) *PolygonVertex

AddV2 adds a V2 vertex to a polygon.

func (*Polygon) AddV2Set 

func (p *Polygon) AddV2Set(x []V2)

AddV2Set adds a set of V2 vertices to a polygon.

func (*Polygon) Close 

func (p *Polygon) Close()

Close closes the polygon.

func (*Polygon) Drop 

func (p *Polygon) Drop()

Drop the last vertex from the list.

func (*Polygon) Render 

func (p *Polygon) Render(path string) error

Render outputs a polygon as a 2D DXF file.

func (*Polygon) Reverse 

func (p *Polygon) Reverse()

Reverse reverses the order the vertices are returned.

func (*Polygon) Vertices 

func (p *Polygon) Vertices() []V2

Vertices returns the vertices of the polygon.

type PolygonVertex 

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

PolygonVertex is a polygon vertex.

func (*PolygonVertex) Arc 

func (v *PolygonVertex) Arc(radius float64, facets int) *PolygonVertex

Arc replaces a line segment with a circular arc.

func (*PolygonVertex) Chamfer 

func (v *PolygonVertex) Chamfer(size float64) *PolygonVertex

Chamfer marks the polygon vertex for chamfering.

func (*PolygonVertex) Hide 

func (v *PolygonVertex) Hide() *PolygonVertex

Hide hides the line segment for this vertex in the dxf render.

func (*PolygonVertex) Polar 

func (v *PolygonVertex) Polar() *PolygonVertex

Polar treats the polygon vertex values as polar coordinates (r, theta).

func (*PolygonVertex) Rel 

func (v *PolygonVertex) Rel() *PolygonVertex

Rel positions the polygon vertex relative to the prior vertex.

func (*PolygonVertex) Smooth 

func (v *PolygonVertex) Smooth(radius float64, facets int) *PolygonVertex

Smooth marks the polygon vertex for smoothing.

type RotateCopySDF2 

type RotateCopySDF2 struct {
	// contains filtered or unexported fields
}

RotateCopySDF2 copies an SDF2 n times in a full circle.

func (*RotateCopySDF2) BoundingBox 

func (s *RotateCopySDF2) BoundingBox() Box2

BoundingBox returns the bounding box of a rotate/copy SDF2.

func (*RotateCopySDF2) Evaluate 

func (s *RotateCopySDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to a rotate/copy SDF2.

type RotateCopySDF3 

type RotateCopySDF3 struct {
	// contains filtered or unexported fields
}

RotateCopySDF3 rotates and creates N copies of an SDF3 about the z-axis.

func (*RotateCopySDF3) BoundingBox 

func (s *RotateCopySDF3) BoundingBox() Box3

BoundingBox returns the bounding box of a rotate/copy SDF3.

func (*RotateCopySDF3) Evaluate 

func (s *RotateCopySDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to a rotate/copy SDF3.

type RotateUnionSDF2 

type RotateUnionSDF2 struct {
	// contains filtered or unexported fields
}

RotateUnionSDF2 defines a union of rotated SDF2s.

func (*RotateUnionSDF2) BoundingBox 

func (s *RotateUnionSDF2) BoundingBox() Box2

BoundingBox returns the bounding box of a union of rotated SDF2s.

func (*RotateUnionSDF2) Evaluate 

func (s *RotateUnionSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to a union of rotated SDF2s.

func (*RotateUnionSDF2) SetMin 

func (s *RotateUnionSDF2) SetMin(min MinFunc)

SetMin sets the minimum function to control blending.

type RotateUnionSDF3 

type RotateUnionSDF3 struct {
	// contains filtered or unexported fields
}

RotateUnionSDF3 creates a union of SDF3s rotated about the z-axis.

func (*RotateUnionSDF3) BoundingBox 

func (s *RotateUnionSDF3) BoundingBox() Box3

BoundingBox returns the bounding box of a rotate/union object.

func (*RotateUnionSDF3) Evaluate 

func (s *RotateUnionSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to a rotate/union object.

func (*RotateUnionSDF3) SetMin 

func (s *RotateUnionSDF3) SetMin(min MinFunc)

SetMin sets the minimum function to control blending.

type SDF2 

type SDF2 interface {
	Evaluate(p V2) float64
	BoundingBox() Box2
}

SDF2 is the interface to a 2d signed distance function object.

func ANSIButtressThread 

func ANSIButtressThread(
	radius float64,
	pitch float64,
) SDF2

ANSIButtressThread returns the 2d profile for an ANSI 45/7 buttress thread. https://en.wikipedia.org/wiki/Buttress_thread AMSE B1.9-1973

func AcmeThread 

func AcmeThread(
	radius float64,
	pitch float64,
) SDF2

AcmeThread returns the 2d profile for an acme thread.

func ArcSpiral2D 

func ArcSpiral2D(
	a, k float64,
	start, end float64,
	d float64,
) SDF2

ArcSpiral2D returns a 2d Archimedean spiral (r = m*theta + b).

func Array2D 

func Array2D(sdf SDF2, num V2i, step V2) SDF2

Array2D returns an XY grid array of an existing SDF2.

func Box2D 

func Box2D(size V2, round float64) SDF2

Box2D returns a 2d box.

func Center2D 

func Center2D(s SDF2) SDF2

Center2D centers the origin of an SDF2 on it's bounding box.

func CenterAndScale2D 

func CenterAndScale2D(s SDF2, k float64) SDF2

CenterAndScale2D centers the origin of an SDF2 on it's bounding box, and then scales it. Distance is correct with scaling.

func Circle2D 

func Circle2D(radius float64) SDF2

Circle2D returns the SDF2 for a 2d circle.

func CubicSpline2D 

func CubicSpline2D(knot []V2) SDF2

CubicSpline2D returns an SDF2 made from a set of cubic splines.

func Cut2D 

func Cut2D(sdf SDF2, a, v V2) SDF2

Cut2D cuts the SDF2 along a line from a in direction v. The SDF2 to the right of the line remains.

func Difference2D 

func Difference2D(s0, s1 SDF2) SDF2

Difference2D returns the difference of two SDF2 objects, s0 - s1.

func Elongate2D 

func Elongate2D(sdf SDF2, h V2) SDF2

Elongate2D returns the elongation of an SDF2.

func FingerButton2D 

func FingerButton2D(k *FingerButtonParms) SDF2

FingerButton2D returns a 2D cutout for a finger button.

func FlatFlankCam2D 

func FlatFlankCam2D(
	distance float64,
	baseRadius float64,
	noseRadius float64,
) SDF2

FlatFlankCam2D creates a 2D cam profile. The profile is made from a base circle, a smaller nose circle and flat, tangential flanks. The base circle is centered on the origin. The nose circle is located on the positive y axis.

func GearRack2D 

func GearRack2D(
	numberTeeth float64,
	gearModule float64,
	pressureAngle float64,
	backlash float64,
	baseHeight float64,
) SDF2

GearRack2D returns the 2D profile for a gear rack.

func ISOThread 

func ISOThread(
	radius float64,
	pitch float64,
	mode string,
) SDF2

ISOThread returns the 2d profile for an ISO/UTS thread. https://en.wikipedia.org/wiki/ISO_metric_screw_thread https://en.wikipedia.org/wiki/Unified_Thread_Standard

func InvoluteGear 

func InvoluteGear(
	numberTeeth int,
	gearModule float64,
	pressureAngle float64,
	backlash float64,
	clearance float64,
	ringWidth float64,
	facets int,
) SDF2

InvoluteGear returns an 2D polygon for an involute gear.

func InvoluteGearTooth 

func InvoluteGearTooth(
	numberTeeth int,
	gearModule float64,
	rootRadius float64,
	baseRadius float64,
	outerRadius float64,
	backlash float64,
	facets int,
) SDF2

InvoluteGearTooth returns a 2D profile for a single involute tooth.

func KnurlProfile 

func KnurlProfile(
	radius float64,
	pitch float64,
	height float64,
) SDF2

KnurlProfile returns a 2D knurl profile.

func Line2D 

func Line2D(l, round float64) SDF2

Line2D returns a line from (-l/2,0) to (l/2,0).

func LineOf2D 

func LineOf2D(s SDF2, p0, p1 V2, pattern string) SDF2

LineOf2D returns a union of 2D objects positioned along a line from p0 to p1.

func MakeBoltCircle2D 

func MakeBoltCircle2D(
	holeRadius float64,
	circleRadius float64,
	numHoles int,
) SDF2

MakeBoltCircle2D returns a 2D profile for a flange bolt circle.

func MakeFlatFlankCam 

func MakeFlatFlankCam(
	lift float64,
	duration float64,
	maxDiameter float64,
) (SDF2, error)

MakeFlatFlankCam makes a flat flank cam profile from design parameters.

func MakeThreeArcCam 

func MakeThreeArcCam(
	lift float64,
	duration float64,
	maxDiameter float64,
	k float64,
) (SDF2, error)

MakeThreeArcCam makes a three arc cam profile from design parameters.

func MultiCircle2D 

func MultiCircle2D(radius float64, positions V2Set) SDF2

MultiCircle2D returns an SDF2 for multiple circles.

func NewFlange1 

func NewFlange1(
	distance float64,
	centerRadius float64,
	sideRadius float64,
) SDF2

NewFlange1 returns a flange shape made from a center circle with two side circles.

func Offset2D 

func Offset2D(sdf SDF2, offset float64) SDF2

Offset2D returns an SDF2 that offsets the distance function of another SDF2.

func Panel2D 

func Panel2D(k *PanelParms) SDF2

Panel2D returns a 2d panel with holes on the edges.

func PlasticButtressThread 

func PlasticButtressThread(
	radius float64,
	pitch float64,
) SDF2

PlasticButtressThread returns the 2d profile for a screw top style plastic buttress thread. Similar to ANSI 45/7 - but with more corner rounding

func Polygon2D 

func Polygon2D(vertex []V2) SDF2

Polygon2D returns an SDF2 made from a closed set of line segments.

func RotateCopy2D 

func RotateCopy2D(sdf SDF2, n int) SDF2

RotateCopy2D rotates and copies an SDF2 n times in a full circle.

func RotateUnion2D 

func RotateUnion2D(sdf SDF2, num int, step M33) SDF2

RotateUnion2D returns a union of rotated SDF2s.

func ScaleUniform2D 

func ScaleUniform2D(sdf SDF2, k float64) SDF2

ScaleUniform2D scales an SDF2 by k on each axis. Distance is correct with scaling.

func Slice2D 

func Slice2D(
	sdf SDF3,
	a V3,
	n V3,
) SDF2

Slice2D returns an SDF2 created from a planar slice through an SDF3.

func TextSDF2 

func TextSDF2(f *truetype.Font, t *Text, h float64) (SDF2, error)

TextSDF2 returns a sized SDF2 for a text object.

func ThreeArcCam2D 

func ThreeArcCam2D(
	distance float64,
	baseRadius float64,
	noseRadius float64,
	flankRadius float64,
) SDF2

ThreeArcCam2D creates a 2D cam profile. The profile is made from a base circle, a smaller nose circle and circular flank arcs. The base circle is centered on the origin. The nose circle is located on the positive y axis. The flank arcs are tangential to the base and nose circles.

func Transform2D 

func Transform2D(sdf SDF2, m M33) SDF2

Transform2D applies a transformation matrix to an SDF2. Distance is *not* preserved with scaling.

func Union2D 

func Union2D(sdf ...SDF2) SDF2

Union2D returns the union of multiple SDF2 objects.

type SDF3 

type SDF3 interface {
	Evaluate(p V3) float64
	BoundingBox() Box3
}

SDF3 is the interface to a 3d signed distance function object.

func Array3D 

func Array3D(sdf SDF3, num V3i, step V3) SDF3

Array3D returns an XYZ array of a given SDF3

func Bolt 

func Bolt(k *BoltParms) (SDF3, error)

Bolt returns a simple bolt suitable for 3d printing.

func Box3D 

func Box3D(size V3, round float64) SDF3

Box3D return an SDF3 for a 3d box (rounded corners with round > 0).

func Capsule3D 

func Capsule3D(radius, height float64) SDF3

Capsule3D return an SDF3 for a capsule.

func ChamferedCylinder 

func ChamferedCylinder(s SDF3, kb, kt float64) SDF3

ChamferedCylinder intersects a chamfered cylinder with an SDF3.

func ChamferedHole3D 

func ChamferedHole3D(
	l float64,
	r float64,
	chRadius float64,
) SDF3

ChamferedHole3D returns the SDF3 for a chamfered hole (45 degrees).

func Cone3D 

func Cone3D(height, r0, r1, round float64) SDF3

Cone3D returns the SDF3 for a trucated cone (round > 0 gives rounded edges).

func CounterBoredHole3D 

func CounterBoredHole3D(
	l float64,
	r float64,
	cbRadius float64,
	cbDepth float64,
) SDF3

CounterBoredHole3D returns the SDF3 for a counterbored hole.

func CounterSunkHole3D 

func CounterSunkHole3D(
	l float64,
	r float64,
) SDF3

CounterSunkHole3D returns the SDF3 for a countersunk hole (45 degrees).

func Cut3D 

func Cut3D(sdf SDF3, a, n V3) SDF3

Cut3D cuts an SDF3 along a plane passing through a with normal n. The SDF3 on the same side as the normal remains.

func Cylinder3D 

func Cylinder3D(height, radius, round float64) SDF3

Cylinder3D return an SDF3 for a cylinder (rounded edges with round > 0).

func Difference3D 

func Difference3D(s0, s1 SDF3) SDF3

Difference3D returns the difference of two SDF3s, s0 - s1.

func Elongate3D 

func Elongate3D(sdf SDF3, h V3) SDF3

Elongate3D returns the elongation of an SDF3.

func Extrude3D 

func Extrude3D(sdf SDF2, height float64) SDF3

Extrude3D does a linear extrude on an SDF3.

func ExtrudeRounded3D 

func ExtrudeRounded3D(sdf SDF2, height, round float64) SDF3

ExtrudeRounded3D does a linear extrude ao SDF2 with rounded edges.

func HexHead3D 

func HexHead3D(
	r float64,
	h float64,
	round string,
) SDF3

HexHead3D returns the rounded hex head for a nut or bolt.

func Intersect3D 

func Intersect3D(s0, s1 SDF3) SDF3

Intersect3D returns the intersection of two SDF3s.

func Knurl3D 

func Knurl3D(
	length float64,
	radius float64,
	pitch float64,
	height float64,
	theta float64,
) SDF3

Knurl3D returns a knurled cylinder.

func KnurledHead3D 

func KnurledHead3D(
	r float64,
	h float64,
	pitch float64,
) SDF3

KnurledHead3D returns a cylindrical knurled head.

func LineOf3D 

func LineOf3D(s SDF3, p0, p1 V3, pattern string) SDF3

LineOf3D returns a union of 3D objects positioned along a line from p0 to p1.

func Loft3D 

func Loft3D(sdf0, sdf1 SDF2, height, round float64) SDF3

Loft3D extrudes an SDF3 that transitions between two SDF2 shapes.

func MakeBoltCircle3D 

func MakeBoltCircle3D(
	holeDepth float64,
	holeRadius float64,
	circleRadius float64,
	numHoles int,
) SDF3

MakeBoltCircle3D returns a 3D object for a flange bolt circle.

func MultiCylinder3D 

func MultiCylinder3D(height, radius float64, positions V2Set) SDF3

MultiCylinder3D return an SDF3 for multiple cylinders.

func Nut 

func Nut(k *NutParms) (SDF3, error)

Nut returns a simple nut suitable for 3d printing.

func Offset3D 

func Offset3D(sdf SDF3, offset float64) SDF3

Offset3D returns an SDF3 that offsets the distance function of another SDF3.

func PanelBox3D 

func PanelBox3D(k *PanelBoxParms) []SDF3

PanelBox3D returns a 4 part panel box.

func Revolve3D 

func Revolve3D(sdf SDF2) SDF3

Revolve3D returns an SDF3 for a solid of revolution.

func RevolveTheta3D 

func RevolveTheta3D(sdf SDF2, theta float64) SDF3

RevolveTheta3D returns an SDF3 for a solid of revolution.

func RotateCopy3D 

func RotateCopy3D(
	sdf SDF3,
	num int,
) SDF3

RotateCopy3D rotates and creates N copies of an SDF3 about the z-axis.

func RotateUnion3D 

func RotateUnion3D(sdf SDF3, num int, step M44) SDF3

RotateUnion3D creates a union of SDF3s rotated about the z-axis.

func ScaleExtrude3D 

func ScaleExtrude3D(sdf SDF2, height float64, scale V2) SDF3

ScaleExtrude3D extrudes an SDF2 and scales it over the height of the extrusion.

func ScaleTwistExtrude3D 

func ScaleTwistExtrude3D(sdf SDF2, height, twist float64, scale V2) SDF3

ScaleTwistExtrude3D extrudes an SDF2 and scales and twists it over the height of the extrusion.

func ScaleUniform3D 

func ScaleUniform3D(sdf SDF3, k float64) SDF3

ScaleUniform3D uniformly scales an SDF3 on all axes.

func Screw3D 

func Screw3D(
	thread SDF2,
	length float64,
	pitch float64,
	starts int,
) SDF3

Screw3D returns a screw SDF3.

func Sphere3D 

func Sphere3D(radius float64) SDF3

Sphere3D return an SDF3 for a sphere.

func Standoff3D 

func Standoff3D(k *StandoffParms) SDF3

Standoff3D returns a single board standoff.

func Standoffs3D 

func Standoffs3D(k *StandoffParms, positions V3Set) SDF3

Standoffs3D returns multiple board standoffs at various positions.

func Transform3D 

func Transform3D(sdf SDF3, matrix M44) SDF3

Transform3D applies a transformation matrix to an SDF3.

func TruncRectPyramid3D 

func TruncRectPyramid3D(k *TruncRectPyramidParms) SDF3

TruncRectPyramid3D returns a truncated rectangular pyramid with rounded edges.

func TwistExtrude3D 

func TwistExtrude3D(sdf SDF2, height, twist float64) SDF3

TwistExtrude3D extrudes an SDF2 while rotating by twist radians over the height of the extrusion.

func Union3D 

func Union3D(sdf ...SDF3) SDF3

Union3D returns the union of multiple SDF3 objects.

func Washer3D 

func Washer3D(k *WasherParms) SDF3

Washer3D returns a washer. This is also used to create circular walls.

type STLHeader 

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

STLHeader defines the STL file header.

type STLTriangle 

type STLTriangle struct {
	Normal, Vertex1, Vertex2, Vertex3 [3]float32
	// contains filtered or unexported fields
}

STLTriangle defines the triangle data within an STL file.

type SVG 

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

SVG represents an SVG renderer.

func NewSVG 

func NewSVG(filename, lineStyle string) *SVG

NewSVG returns an SVG renderer.

func (*SVG) Line 

func (s *SVG) Line(p0, p1 V2)

Line outputs a line to the SVG file.

func (*SVG) Save 

func (s *SVG) Save() error

Save closes the SVG file.

type ScaleUniformSDF2 

type ScaleUniformSDF2 struct {
	// contains filtered or unexported fields
}

ScaleUniformSDF2 scales another SDF2 on each axis.

func (*ScaleUniformSDF2) BoundingBox 

func (s *ScaleUniformSDF2) BoundingBox() Box2

BoundingBox returns the bounding box of an SDF2 with uniform scaling.

func (*ScaleUniformSDF2) Evaluate 

func (s *ScaleUniformSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to an SDF2 with uniform scaling.

type ScaleUniformSDF3 

type ScaleUniformSDF3 struct {
	// contains filtered or unexported fields
}

ScaleUniformSDF3 is an SDF3 scaled uniformly in XYZ directions.

func (*ScaleUniformSDF3) BoundingBox 

func (s *ScaleUniformSDF3) BoundingBox() Box3

BoundingBox returns the bounding box of a uniformly scaled SDF3.

func (*ScaleUniformSDF3) Evaluate 

func (s *ScaleUniformSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to a uniformly scaled SDF3. The distance is correct with scaling.

type ScrewSDF3 

type ScrewSDF3 struct {
	// contains filtered or unexported fields
}

ScrewSDF3 is a 3d screw form.

func (*ScrewSDF3) BoundingBox 

func (s *ScrewSDF3) BoundingBox() Box3

BoundingBox returns the bounding box for a 3d screw form.

func (*ScrewSDF3) Evaluate 

func (s *ScrewSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to a 3d screw form.

type SliceSDF2 

type SliceSDF2 struct {
	// contains filtered or unexported fields
}

SliceSDF2 creates an SDF2 from a planar slice through an SDF3.

func (*SliceSDF2) BoundingBox 

func (s *SliceSDF2) BoundingBox() Box2

BoundingBox returns the bounding box of the sliced SDF2.

func (*SliceSDF2) Evaluate 

func (s *SliceSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to the sliced SDF2.

type SorSDF3 

type SorSDF3 struct {
	// contains filtered or unexported fields
}

SorSDF3 solid of revolution, SDF2 to SDF3.

func (*SorSDF3) BoundingBox 

func (s *SorSDF3) BoundingBox() Box3

BoundingBox returns the bounding box for a solid of revolution.

func (*SorSDF3) Evaluate 

func (s *SorSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to a solid of revolution.

type SphereSDF3 

type SphereSDF3 struct {
	// contains filtered or unexported fields
}

SphereSDF3 is a sphere.

func (*SphereSDF3) BoundingBox 

func (s *SphereSDF3) BoundingBox() Box3

BoundingBox returns the bounding box for a sphere.

func (*SphereSDF3) Evaluate 

func (s *SphereSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to a sphere.

type StandoffParms 

type StandoffParms struct {
	PillarHeight   float64
	PillarDiameter float64
	HoleDepth      float64 // > 0 is a hole, < 0 is a support stub
	HoleDiameter   float64
	NumberWebs     int // number of triangular gussets around the standoff base
	WebHeight      float64
	WebDiameter    float64
	WebWidth       float64
}

StandoffParms defines the parameters for a board standoff pillar.

type Text 

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

Text stores a UTF8 string and it's rendering parameters.

func NewText 

func NewText(s string) *Text

NewText returns a text object (text and alignment).

type ThreadParameters 

type ThreadParameters struct {
	Name         string  // name of screw thread
	Radius       float64 // nominal major radius of screw
	Pitch        float64 // thread to thread distance of screw
	HexFlat2Flat float64 // hex head flat to flat distance
	Units        string  // "inch" or "mm"
}

ThreadParameters stores the values that define a thread.

func ThreadLookup 

func ThreadLookup(name string) (*ThreadParameters, error)

ThreadLookup lookups the parameters for a thread by name.

func (*ThreadParameters) HexHeight 

func (t *ThreadParameters) HexHeight() float64

HexHeight returns the hex head height (empirical).

func (*ThreadParameters) HexRadius 

func (t *ThreadParameters) HexRadius() float64

HexRadius returns the hex head radius.

type ThreeArcCamSDF2 

type ThreeArcCamSDF2 struct {
	// contains filtered or unexported fields
}

ThreeArcCamSDF2 is 2d cam profile. The profile is made from a base circle, a smaller nose circle and circular flank arcs.

func (*ThreeArcCamSDF2) BoundingBox 

func (s *ThreeArcCamSDF2) BoundingBox() Box2

BoundingBox returns the bounding box for the cam.

func (*ThreeArcCamSDF2) Evaluate 

func (s *ThreeArcCamSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to the cam.

type ThreeMFItem 

type ThreeMFItem struct {
	XMLName  xml.Name `xml:"item"`
	ObjectID string   `xml:"objectid,attr"`
}

type ThreeMFMesh 

type ThreeMFMesh struct {
	Vertices  []ThreeMFVertex   `xml:"vertices"`
	Triangles []ThreeMFTriangle `xml:"triangles"`
}

type ThreeMFModel 

type ThreeMFModel struct {
	XMLName xml.Name `xml:"model"`
	Lang    string   `xml:"xml:lang,attr"`
	Schema  string   `xml:"xmlns,attr"`
	Unit    string   `xml:"unit,attr"`
	// These aren't grouping into the array field
	Resources []ThreeMFObject `xml:"resources>object"`
	Build     []ThreeMFItem   `xml:"build>item"`
}

ThreeMFModel top level structure of a model for output to 3mf

type ThreeMFObject 

type ThreeMFObject struct {
	XMLName xml.Name    `xml:"object"`
	ID      string      `xml:"id,attr"`
	Type    string      `xml:"type,attr"`
	Mesh    ThreeMFMesh `xml:"mesh"`
}

type ThreeMFTriangle 

type ThreeMFTriangle struct {
	XMLName xml.Name `xml:"triangle"`
	V1      int      `xml:"v1,attr"`
	V2      int      `xml:"v2,attr"`
	V3      int      `xml:"v3,attr"`
}

type ThreeMFVertex 

type ThreeMFVertex struct {
	XMLName xml.Name `xml:"vertex"`
	X       float64  `xml:"x,attr"`
	Y       float64  `xml:"y,attr"`
	Z       float64  `xml:"z,attr"`
}

type TransformSDF2 

type TransformSDF2 struct {
	// contains filtered or unexported fields
}

TransformSDF2 transorms an SDF2 with rotation, translation and scaling.

func (*TransformSDF2) BoundingBox 

func (s *TransformSDF2) BoundingBox() Box2

BoundingBox returns the bounding box of a transformed SDF2.

func (*TransformSDF2) Evaluate 

func (s *TransformSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to a transformed SDF2. Distance is *not* preserved with scaling.

type TransformSDF3 

type TransformSDF3 struct {
	// contains filtered or unexported fields
}

TransformSDF3 is an SDF3 transformed with a 4x4 transformation matrix.

func (*TransformSDF3) BoundingBox 

func (s *TransformSDF3) BoundingBox() Box3

BoundingBox returns the bounding box of a transformed SDF3.

func (*TransformSDF3) Evaluate 

func (s *TransformSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to a transformed SDF3. Distance is *not* preserved with scaling.

type Triangle2 

type Triangle2 [3]V2

Triangle2 is a 2D triangle

func (Triangle2) Circumcenter 

func (t Triangle2) Circumcenter() (V2, error)

Circumcenter returns the circumcenter of a triangle.

func (Triangle2) InCircumcircle 

func (t Triangle2) InCircumcircle(p V2) (inside, done bool)

InCircumcircle return inside == true if the point is inside the circumcircle of the triangle. Returns done == true if the vertex and the subsequent x-ordered vertices are outside the circumcircle.

type Triangle3 

type Triangle3 struct {
	V [3]V3
}

Triangle3 is a 3D triangle

func NewTriangle3 

func NewTriangle3(a, b, c V3) *Triangle3

NewTriangle3 returns a new 3D triangle.

func RenderSlow 

func RenderSlow(
	s SDF3,
	meshCells int,
) []*Triangle3

RenderSlow renders an SDF3 as an mesh (uses uniform grid sampling).

func (*Triangle3) Degenerate 

func (t *Triangle3) Degenerate(tolerance float64) bool

Degenerate returns true if the triangle is degenerate.

func (*Triangle3) Normal 

func (t *Triangle3) Normal() V3

Normal returns the normal vector to the plane defined by the 3D triangle.

type TriangleI 

type TriangleI [3]int

TriangleI is a 2d/3d triangle referencing a list of vertices.

func (*TriangleI) Canonical 

func (t *TriangleI) Canonical()

Canonical converts a triangle to it's lowest index first form. Preserve the winding order.

func (TriangleI) ToTriangle2 

func (t TriangleI) ToTriangle2(p []V2) Triangle2

ToTriangle2 given vertex indices and the vertex array, return the triangle with real vertices.

type TriangleIByIndex 

type TriangleIByIndex []TriangleI

TriangleIByIndex sorts triangles by index.

func (TriangleIByIndex) Len 

func (a TriangleIByIndex) Len() int

func (TriangleIByIndex) Less 

func (a TriangleIByIndex) Less(i, j int) bool

func (TriangleIByIndex) Swap 

func (a TriangleIByIndex) Swap(i, j int)

type TriangleISet 

type TriangleISet []TriangleI

TriangleISet is a set of triangles defined by vertice indices.

func (TriangleISet) Canonical 

func (ts TriangleISet) Canonical() []TriangleI

Canonical converts a triangle set to it's canonical form. This common form is used to facilitate comparison between the results of different implementations.

func (TriangleISet) Equals 

func (ts TriangleISet) Equals(s TriangleISet) bool

Equals tests two triangle sets for equality.

type TruncRectPyramidParms 

type TruncRectPyramidParms struct {
	Size        V3      // size of truncated pyramid
	BaseAngle   float64 // base angle of pyramid (radians)
	BaseRadius  float64 // base corner radius
	RoundRadius float64 // edge rounding radius
}

TruncRectPyramidParms defines the parameters for a truncated rectangular pyramid.

type UnionSDF2 

type UnionSDF2 struct {
	// contains filtered or unexported fields
}

UnionSDF2 is a union of multiple SDF2 objects.

func (*UnionSDF2) BoundingBox 

func (s *UnionSDF2) BoundingBox() Box2

BoundingBox returns the bounding box of an SDF2 union.

func (*UnionSDF2) Evaluate 

func (s *UnionSDF2) Evaluate(p V2) float64

Evaluate returns the minimum distance to the SDF2 union.

func (*UnionSDF2) EvaluateSlow 

func (s *UnionSDF2) EvaluateSlow(p V2) float64

EvaluateSlow returns the minimum distance to the SDF2 union.

func (*UnionSDF2) SetMin 

func (s *UnionSDF2) SetMin(min MinFunc)

SetMin sets the minimum function to control SDF2 blending.

type UnionSDF3 

type UnionSDF3 struct {
	// contains filtered or unexported fields
}

UnionSDF3 is a union of SDF3s.

func (*UnionSDF3) BoundingBox 

func (s *UnionSDF3) BoundingBox() Box3

BoundingBox returns the bounding box of an SDF3 union.

func (*UnionSDF3) Evaluate 

func (s *UnionSDF3) Evaluate(p V3) float64

Evaluate returns the minimum distance to an SDF3 union.

func (*UnionSDF3) SetMin 

func (s *UnionSDF3) SetMin(min MinFunc)

SetMin sets the minimum function to control blending.

type V2 

type V2 struct {
	X, Y float64
}

V2 is a 2d float64 cartesian vector.

func NormalExtrude 

func NormalExtrude(p V3) V2

NormalExtrude returns an extrusion function.

func PolarToXY 

func PolarToXY(r, theta float64) V2

PolarToXY converts polar to cartesian coordinates. (TODO remove)

func (V2) Abs 

func (a V2) Abs() V2

Abs takes the absolute value of each vector component.

func (V2) Add 

func (a V2) Add(b V2) V2

Add adds two vectors. Returns a + b.

func (V2) AddScalar 

func (a V2) AddScalar(b float64) V2

AddScalar adds a scalar to each vector component.

func (V2) CartesianToPolar 

func (a V2) CartesianToPolar() P2

CartesianToPolar converts a cartesian to a polar coordinate.

func (V2) Ceil 

func (a V2) Ceil() V2

Ceil takes the ceiling value of each vector component.

func (V2) Clamp 

func (a V2) Clamp(b, c V2) V2

Clamp clamps a vector between 2 other vectors.

func (V2) Cross 

func (a V2) Cross(b V2) float64

Cross returns the cross product of a and b.

func (V2) Div 

func (a V2) Div(b V2) V2

Div divides two vectors by component.

func (V2) DivScalar 

func (a V2) DivScalar(b float64) V2

DivScalar divides each vector component by a scalar.

func (V2) Dot 

func (a V2) Dot(b V2) float64

Dot returns the dot product of a and b.

func (V2) Equals 

func (a V2) Equals(b V2, tolerance float64) bool

Equals returns true if a == b within the tolerance limit.

func (V2) Length 

func (a V2) Length() float64

Length returns the vector length.

func (V2) Length2 

func (a V2) Length2() float64

Length2 returns the vector length * length.

func (V2) Max 

func (a V2) Max(b V2) V2

Max return a vector with the maximum components of two vectors.

func (V2) MaxComponent 

func (a V2) MaxComponent() float64

MaxComponent returns the maximum component of the vector.

func (V2) Min 

func (a V2) Min(b V2) V2

Min return a vector with the minimum components of two vectors.

func (V2) MinComponent 

func (a V2) MinComponent() float64

MinComponent returns the minimum component of the vector.

func (V2) Mul 

func (a V2) Mul(b V2) V2

Mul multiplies two vectors by component.

func (V2) MulScalar 

func (a V2) MulScalar(b float64) V2

MulScalar multiplies each vector component by a scalar.

func (V2) Neg 

func (a V2) Neg() V2

Neg negates a vector.

func (V2) Normalize 

func (a V2) Normalize() V2

Normalize scales a vector to unit length.

func (V2) Overlap 

func (a V2) Overlap(b V2) bool

Overlap returns true if 1D line segments a and b overlap.

func (V2) Sub 

func (a V2) Sub(b V2) V2

Sub subtracts two vectors. Returns a - b.

func (V2) SubScalar 

func (a V2) SubScalar(b float64) V2

SubScalar subtracts a scalar from each vector component.

func (V2) ToV2i 

func (a V2) ToV2i() V2i

ToV2i convert V2 (float) to V2i (integer).

func (V2) ToV3 

func (a V2) ToV3(z float64) V3

ToV3 converts a V2 to a V3 with a specified Z value.

type V2Set 

type V2Set []V2

V2Set is a set of 2d float64 vectors.

func GenerateMesh2D 

func GenerateMesh2D(s SDF2, grid V2i) (V2Set, error)

GenerateMesh2D generates a set of internal mesh points for an SDF2.

func Nagon 

func Nagon(n int, radius float64) V2Set

Nagon return the vertices of a N sided regular polygon.

func (V2Set) Delaunay2d 

func (vs V2Set) Delaunay2d() (TriangleISet, error)

Delaunay2d returns the delaunay triangulation of a 2d point set.

func (V2Set) Delaunay2dSlow 

func (vs V2Set) Delaunay2dSlow() (TriangleISet, error)

Delaunay2dSlow returns the delaunay triangulation of a 2d point set. This is a slow reference implementation for testing faster algorithms. See: Computational Geometry, Joseph O'Rourke, 2nd edition, Code 5.1

func (V2Set) Max 

func (a V2Set) Max() V2

Max return the maximum components of a set of vectors.

func (V2Set) Min 

func (a V2Set) Min() V2

Min return the minimum components of a set of vectors.

func (V2Set) MulVertices 

func (v V2Set) MulVertices(a M33)

MulVertices multiples a set of V2 vertices by a rotate/translate matrix.

func (V2Set) SuperTriangle 

func (vs V2Set) SuperTriangle() (Triangle2, error)

SuperTriangle return the super triangle of a point set, ie: 3 vertices enclosing all points.

type V2SetByX 

type V2SetByX V2Set

V2SetByX used to sort V2Set by X-value.

func (V2SetByX) Len 

func (a V2SetByX) Len() int

func (V2SetByX) Less 

func (a V2SetByX) Less(i, j int) bool

func (V2SetByX) Swap 

func (a V2SetByX) Swap(i, j int)

type V2i 

type V2i [2]int

V2i is a 2D integer vector.

func (V2i) Add 

func (a V2i) Add(b V2i) V2i

Add adds two vectors. Return v = a + b.

func (V2i) AddScalar 

func (a V2i) AddScalar(b int) V2i

AddScalar adds a scalar to each component of the vector.

func (V2i) SubScalar 

func (a V2i) SubScalar(b int) V2i

SubScalar subtracts a scalar from each component of the vector.

func (V2i) ToV2 

func (a V2i) ToV2() V2

ToV2 converts V2i (integer) to V2 (float).

type V3 

type V3 struct {
	X, Y, Z float64
}

V3 is a 3d float64 cartesian vector.

func (V3) Abs 

func (a V3) Abs() V3

Abs takes the absolute value of each vector component.

func (V3) Add 

func (a V3) Add(b V3) V3

Add adds two vectors. Returns a + b.

func (V3) AddScalar 

func (a V3) AddScalar(b float64) V3

AddScalar adds a scalar to each vector component.

func (V3) Ceil 

func (a V3) Ceil() V3

Ceil takes the ceiling value of each vector component.

func (V3) Clamp 

func (a V3) Clamp(b, c V3) V3

Clamp clamps a vector between 2 other vectors.

func (V3) Cross 

func (a V3) Cross(b V3) V3

Cross returns the cross product of a and b.

func (V3) Div 

func (a V3) Div(b V3) V3

Div divides two vectors by component.

func (V3) DivScalar 

func (a V3) DivScalar(b float64) V3

DivScalar divides each vector component by a scalar.

func (V3) Dot 

func (a V3) Dot(b V3) float64

Dot returns the dot product of a and b.

func (V3) Equals 

func (a V3) Equals(b V3, tolerance float64) bool

Equals returns true if a == b within the tolerance limit.

func (V3) Length 

func (a V3) Length() float64

Length returns the vector length.

func (V3) Length2 

func (a V3) Length2() float64

Length2 returns the vector length * length.

func (V3) Max 

func (a V3) Max(b V3) V3

Max return a vector with the maximum components of two vectors.

func (V3) MaxComponent 

func (a V3) MaxComponent() float64

MaxComponent returns the maximum component of the vector.

func (V3) Min 

func (a V3) Min(b V3) V3

Min return a vector with the minimum components of two vectors.

func (V3) MinComponent 

func (a V3) MinComponent() float64

MinComponent returns the minimum component of the vector.

func (V3) Mul 

func (a V3) Mul(b V3) V3

Mul multiplies two vectors by component.

func (V3) MulScalar 

func (a V3) MulScalar(b float64) V3

MulScalar multiplies each vector component by a scalar.

func (V3) Neg 

func (a V3) Neg() V3

Neg negates a vector.

func (V3) Normalize 

func (a V3) Normalize() V3

Normalize scales a vector to unit length.

func (V3) Sub 

func (a V3) Sub(b V3) V3

Sub subtracts two vectors. Returns a - b.

func (V3) SubScalar 

func (a V3) SubScalar(b float64) V3

SubScalar subtracts a scalar from each vector component.

func (V3) ToV3i 

func (a V3) ToV3i() V3i

ToV3i convert V3 (float) to V3i (integer).

type V3Set 

type V3Set []V3

V3Set is a set of 3d float64 vectors.

func (V3Set) Max 

func (a V3Set) Max() V3

Max return the maximum components of a set of vectors.

func (V3Set) Min 

func (a V3Set) Min() V3

Min return the minimum components of a set of vectors.

func (V3Set) MulVertices 

func (v V3Set) MulVertices(a M44)

MulVertices multiples a set of V3 vertices by a rotate/translate matrix.

type V3i 

type V3i [3]int

V3i is a 3D integer vector.

func (V3i) Add 

func (a V3i) Add(b V3i) V3i

Add adds two vectors. Return v = a + b.

func (V3i) AddScalar 

func (a V3i) AddScalar(b int) V3i

AddScalar adds a scalar to each component of the vector.

func (V3i) SubScalar 

func (a V3i) SubScalar(b int) V3i

SubScalar subtracts a scalar from each component of the vector.

func (V3i) ToV3 

func (a V3i) ToV3() V3

ToV3 converts V3i (integer) to V3 (float).

type WasherParms 

type WasherParms struct {
	Thickness   float64 // thickness
	InnerRadius float64 // inner radius
	OuterRadius float64 // outer radius
	Remove      float64 // fraction of complete washer removed
}

WasherParms defines the parameters for a washer.

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