mathx

package
v0.2.0 Latest Latest
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 Go to latest Published: Apr 4, 2024 License: Unlicense Imports: 2 Imported by: 0

Documentation

Index

Constants

View Source 
const (
	DEG2RAD   = math.Pi / 180
	RAD2DEG   = 180 / math.Pi
	EPSILON64 = float64(7.)/3 - float64(4.)/3 - float64(1.)
	EPSILON32 = float32(7.)/3 - float32(4.)/3 - float32(1.)
)

Variables

View Source 
var (
	V3Zero = *NewZeroVector3()
	V3One  = *NewOneVector3()
)
View Source 
var Box2Empty = Box2{
	Min: Vector2{X: math.MaxFloat64, Y: math.MaxFloat64},
	Max: Vector2{X: -math.MaxFloat64, Y: -math.MaxFloat64},
}
View Source 
var Box3Empty = Box3{
	Min: Vector3{X: math.MaxFloat64, Y: math.MaxFloat64, Z: math.MaxFloat64},
	Max: Vector3{X: -math.MaxFloat64, Y: -math.MaxFloat64, Z: -math.MaxFloat64},
}

Functions

func CatmullRom 

func CatmullRom(t, p0, p1, p2, p3 float64) float64

func CeilPowerOfTwo 

func CeilPowerOfTwo(value int) int

func Clamp 

func Clamp(value, min, max float64) float64

func CubicBezier 

func CubicBezier(t, p0, p1, p2, p3 float64) float64

func CubicBezierP0 

func CubicBezierP0(t, p float64) float64

func CubicBezierP1 

func CubicBezierP1(t, p float64) float64

func CubicBezierP2 

func CubicBezierP2(t, p float64) float64

func CubicBezierP3 

func CubicBezierP3(t, p float64) float64

func Damp 

func Damp(x, y, lambda, dt float64) float64

http://www.rorydriscoll.com/2016/03/07/frame-rate-independent-damping-using-lerp/

func DegToRad 

func DegToRad(degrees float64) float64

func EuclideanModulo 

func EuclideanModulo(n, m float64) float64

compute euclidean modulo of m % n https://en.wikipedia.org/wiki/Modulo_operation

func FloorPowerOfTwo 

func FloorPowerOfTwo(value int) int

func InverseLerp 

func InverseLerp(x, y, value float64) float64

https://www.gamedev.net/tutorials/programming/general-and-gameplay-programming/inverse-lerp-a-super-useful-yet-often-overlooked-function-r5230/

func IsPowerOfTwo 

func IsPowerOfTwo(value int) bool

func Lerp 

func Lerp(x, y, t float64) float64

https://en.wikipedia.org/wiki/Linear_interpolation

func MapLinear 

func MapLinear(x, a1, a2, b1, b2 float64) float64

Linear mapping from range <a1, a2> to range <b1, b2>

func PingPong 

func PingPong(x, length float64) float64

https://www.desmos.com/calculator/vcsjnyz7x4

func QuadraticBezier 

func QuadraticBezier(t, p0, p1, p2 float64) float64

func QuadraticBezierP0 

func QuadraticBezierP0(t, p float64) float64

func QuadraticBezierP1 

func QuadraticBezierP1(t, p float64) float64

func QuadraticBezierP2 

func QuadraticBezierP2(t, p float64) float64

func RadToDeg 

func RadToDeg(radians float64) float64

func RandFloatSpread 

func RandFloatSpread(rng float64) float64

Random float from <-range/2, range/2> interval

func SetQuaternionFromProperEuler 

func SetQuaternionFromProperEuler(q *Quaternion, a, b, c float64, order string)

func Smootherstep 

func Smootherstep(x, min, max float64) float64

func Smoothstep 

func Smoothstep(x, min, max float64) float64

http://en.wikipedia.org/wiki/Smoothstep

Types

type ArcCurve 

type ArcCurve struct {
	EllipseCurve
}

func NewArcCurve 

func NewArcCurve(aX, aY, aRadius, aStartAngle, aEndAngle float64, aClockwise bool) *ArcCurve

func (*ArcCurve) Clone 

func (c *ArcCurve) Clone() *baseCurve

func (*ArcCurve) ComputeFrenetFrames added in v0.0.6 

func (c *ArcCurve) ComputeFrenetFrames(segments int, closed bool) map[string][]Vector3

func (*ArcCurve) Tangent added in v0.0.6 

func (c *ArcCurve) Tangent(t float64) *Vector3

Returns a unit vector tangent at t In case any sub curve does not implement its tangent derivation, 2 points a small delta apart will be used to find its gradient which seems to give a reasonable approximation

func (*ArcCurve) TangentAt added in v0.0.6 

func (c *ArcCurve) TangentAt(u float64) *Vector3

type Box2 

type Box2 struct {
	Min Vector2
	Max Vector2
}

func NewBox2 

func NewBox2() *Box2

func (*Box2) ClampPoint 

func (b *Box2) ClampPoint(point Vector2, target *Vector2) *Vector2

func (*Box2) Clone 

func (b *Box2) Clone() *Box2

func (*Box2) ContainsBox 

func (b *Box2) ContainsBox(box *Box2) bool

func (*Box2) ContainsPoint 

func (b *Box2) ContainsPoint(point Vector2) bool

func (*Box2) Copy 

func (b *Box2) Copy(box *Box2) *Box2

func (*Box2) DistanceToPoint 

func (b *Box2) DistanceToPoint(point Vector2) float64

func (*Box2) Equals 

func (b *Box2) Equals(box *Box2) bool

func (*Box2) ExpandByPoint 

func (b *Box2) ExpandByPoint(point Vector2) *Box2

func (*Box2) ExpandByScalar 

func (b *Box2) ExpandByScalar(scalar float64) *Box2

func (*Box2) ExpandByVector 

func (b *Box2) ExpandByVector(vector Vector2) *Box2

func (*Box2) GetCenter 

func (b *Box2) GetCenter(target *Vector2) *Vector2

func (*Box2) GetParameter 

func (b *Box2) GetParameter(point Vector2, target *Vector2) *Vector2

func (*Box2) GetSize 

func (b *Box2) GetSize(target *Vector2) *Vector2

func (*Box2) Intersect 

func (b *Box2) Intersect(box *Box2) *Box2

func (*Box2) IntersectsBox 

func (b *Box2) IntersectsBox(box *Box2) bool

func (*Box2) IsEmpty 

func (b *Box2) IsEmpty() bool

func (*Box2) MakeEmpty 

func (b *Box2) MakeEmpty() *Box2

func (*Box2) Set 

func (b *Box2) Set(min, max Vector2) *Box2

func (*Box2) SetFromCenterAndSize 

func (b *Box2) SetFromCenterAndSize(center, size Vector2) *Box2

func (*Box2) SetFromPoints 

func (b *Box2) SetFromPoints(points []Vector2) *Box2

func (*Box2) Translate 

func (b *Box2) Translate(offset Vector2) *Box2

func (*Box2) Union 

func (b *Box2) Union(box *Box2) *Box2

type Box3 

type Box3 struct {
	Min Vector3
	Max Vector3
}

func NewBox3 

func NewBox3(minVal, maxVal Vector3) *Box3

func (*Box3) ApplyMatrix4 

func (b *Box3) ApplyMatrix4(matrix Matrix4) *Box3

func (*Box3) Center 

func (b *Box3) Center() Vector3

func (*Box3) ClampPoint 

func (b *Box3) ClampPoint(point Vector3) (target *Vector3)

func (*Box3) Clone 

func (b *Box3) Clone() *Box3

func (*Box3) ContainsBox 

func (b *Box3) ContainsBox(box Box3) bool

func (*Box3) ContainsPoint 

func (b *Box3) ContainsPoint(point Vector3) bool

func (*Box3) Copy 

func (b *Box3) Copy(box *Box3) *Box3

func (*Box3) DistanceToPoint 

func (b *Box3) DistanceToPoint(point Vector3) float64

func (*Box3) Equals 

func (b *Box3) Equals(box Box3) bool

func (*Box3) ExpandByPoint 

func (b *Box3) ExpandByPoint(point Vector3) *Box3

func (*Box3) ExpandByScalar 

func (b *Box3) ExpandByScalar(scalar float64) *Box3

func (*Box3) ExpandByVector 

func (b *Box3) ExpandByVector(vector Vector3) *Box3

func (*Box3) GetBoundingSphere 

func (b *Box3) GetBoundingSphere() *Sphere

func (*Box3) GetParameter 

func (b *Box3) GetParameter(point Vector3) (target Vector3)

func (*Box3) Intersect 

func (b *Box3) Intersect(box Box3) *Box3

func (*Box3) IntersectsBox 

func (b *Box3) IntersectsBox(box Box3) bool

func (*Box3) IntersectsPlane 

func (b *Box3) IntersectsPlane(plane Plane) bool

func (*Box3) IntersectsSphere 

func (b *Box3) IntersectsSphere(sphere Sphere) bool

func (*Box3) IntersectsTriangle 

func (b *Box3) IntersectsTriangle(triangle Triangle) bool

func (*Box3) IsEmpty 

func (b *Box3) IsEmpty() bool

func (*Box3) MakeEmpty 

func (b *Box3) MakeEmpty() *Box3

func (*Box3) Set 

func (b *Box3) Set(min, max Vector3) *Box3

func (*Box3) SetFromCenterAndSize 

func (b *Box3) SetFromCenterAndSize(center, size Vector3) *Box3

func (*Box3) SetFromPoints 

func (b *Box3) SetFromPoints(points ...Vector3) *Box3

func (*Box3) Size 

func (b *Box3) Size() *Vector3

func (*Box3) Translate 

func (b *Box3) Translate(offset Vector3) *Box3

func (*Box3) Union 

func (b *Box3) Union(box Box3) *Box3

type CatmullRomCurve3 

type CatmullRomCurve3 struct {
	Points    []*Vector3
	Closed    bool
	CurveType CurveType
	Tension   float64
	// contains filtered or unexported fields
}

func NewCatmullRomCurve3 

func NewCatmullRomCurve3(points []*Vector3, closed bool, curveType CurveType, tension float64) *CatmullRomCurve3

func (*CatmullRomCurve3) Clone 

func (c *CatmullRomCurve3) Clone() *baseCurve

func (*CatmullRomCurve3) ComputeFrenetFrames added in v0.0.6 

func (c *CatmullRomCurve3) ComputeFrenetFrames(segments int, closed bool) map[string][]Vector3

func (*CatmullRomCurve3) Copy 

func (c *CatmullRomCurve3) Copy(source *CatmullRomCurve3) *CatmullRomCurve3

func (*CatmullRomCurve3) GetPoint 

func (c *CatmullRomCurve3) GetPoint(t float64, optionalTarget *Vector3) *Vector3

func (*CatmullRomCurve3) Length 

func (c *CatmullRomCurve3) Length() float64

Get total curve arc length

func (*CatmullRomCurve3) Lengths 

func (c *CatmullRomCurve3) Lengths(divisions int) []float64

Get list of cumulative segment lengths

func (*CatmullRomCurve3) LengthsDefault 

func (c *CatmullRomCurve3) LengthsDefault() []float64

func (*CatmullRomCurve3) Point 

func (c *CatmullRomCurve3) Point(t float64) *Vector3

Virtual base class method to overwrite and implement in subclasses

  • t [0 .. 1]

func (*CatmullRomCurve3) PointAt 

func (c *CatmullRomCurve3) PointAt(u float64) *Vector3

Get point at relative position in curve according to arc length - u [0 .. 1]

func (*CatmullRomCurve3) Points 

func (c *CatmullRomCurve3) Points(divisions int) []Vector3

Get sequence of points using getPoint( t )

func (*CatmullRomCurve3) SpacedPoints 

func (c *CatmullRomCurve3) SpacedPoints(divisions int) []Vector3

Get sequence of points using getPointAt( u )

func (*CatmullRomCurve3) Tangent added in v0.0.6 

func (c *CatmullRomCurve3) Tangent(t float64) *Vector3

Returns a unit vector tangent at t In case any sub curve does not implement its tangent derivation, 2 points a small delta apart will be used to find its gradient which seems to give a reasonable approximation

func (*CatmullRomCurve3) TangentAt added in v0.0.6 

func (c *CatmullRomCurve3) TangentAt(u float64) *Vector3

func (*CatmullRomCurve3) UpdateArcLengths 

func (c *CatmullRomCurve3) UpdateArcLengths()

type CoordinateSystem 

type CoordinateSystem int
const (
	CoordinateSystemWebGL CoordinateSystem = iota
	CoordinateSystemWebGPU
)

type CubicBezierCurve 

type CubicBezierCurve struct {
	V0, V1, V2, V3 Vector3
	// contains filtered or unexported fields
}

func NewCubicBezierCurve3 

func NewCubicBezierCurve3(v0, v1, v2, v3 Vector3) *CubicBezierCurve

func (*CubicBezierCurve) Clone 

func (c *CubicBezierCurve) Clone() *baseCurve

func (*CubicBezierCurve) ComputeFrenetFrames added in v0.0.6 

func (c *CubicBezierCurve) ComputeFrenetFrames(segments int, closed bool) map[string][]Vector3

func (*CubicBezierCurve) Copy 

func (c *CubicBezierCurve) Copy(source baseCurve) *baseCurve

func (*CubicBezierCurve) Length 

func (c *CubicBezierCurve) Length() float64

func (*CubicBezierCurve) Lengths 

func (c *CubicBezierCurve) Lengths(divisions int) []float64

func (*CubicBezierCurve) LengthsDefault 

func (c *CubicBezierCurve) LengthsDefault() []float64

func (*CubicBezierCurve) Point 

func (c *CubicBezierCurve) Point(t float64) *Vector3

func (*CubicBezierCurve) PointAt 

func (c *CubicBezierCurve) PointAt(u float64) *Vector3

func (*CubicBezierCurve) Points 

func (c *CubicBezierCurve) Points(divisions int) []Vector3

func (*CubicBezierCurve) SpacedPoints 

func (c *CubicBezierCurve) SpacedPoints(divisions int) []Vector3

func (*CubicBezierCurve) Tangent added in v0.0.6 

func (c *CubicBezierCurve) Tangent(t float64) *Vector3

Returns a unit vector tangent at t In case any sub curve does not implement its tangent derivation, 2 points a small delta apart will be used to find its gradient which seems to give a reasonable approximation

func (*CubicBezierCurve) TangentAt added in v0.0.6 

func (c *CubicBezierCurve) TangentAt(u float64) *Vector3

func (*CubicBezierCurve) UpdateArcLengths 

func (c *CubicBezierCurve) UpdateArcLengths()

type Curve 

type Curve interface {
	Point(t float64) *Vector3
	PointAt(u float64) *Vector3
	Points(divisions int) []Vector3
	SpacedPoints(divisions int) []Vector3
	LengthsDefault() []float64
	Length() float64
	Lengths(divisions int) []float64
	UpdateArcLengths()
}

type CurvePath 

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

func NewCurvePath 

func NewCurvePath() *CurvePath

func (*CurvePath) Add 

func (c *CurvePath) Add(curve Curve)

func (*CurvePath) ClosePath 

func (c *CurvePath) ClosePath() *CurvePath

func (*CurvePath) Copy 

func (c *CurvePath) Copy(source *CurvePath) *CurvePath

func (*CurvePath) Length 

func (c *CurvePath) Length() float64

func (*CurvePath) Lengths 

func (c *CurvePath) Lengths() []float64

func (*CurvePath) Point 

func (c *CurvePath) Point(t float64) *Vector3

func (*CurvePath) Points 

func (c *CurvePath) Points(divisions int) []Vector3

func (*CurvePath) SpacedPoints 

func (c *CurvePath) SpacedPoints(divisions int) []*Vector3

func (*CurvePath) UpdateArcLengths 

func (c *CurvePath) UpdateArcLengths()

type CurveType 

type CurveType int
const (
	CurveTypeUnknown CurveType = iota
	CurveTypeCentripetal
	CurveTypeChordal
	CurveTypeCatmullRom
)

type Cylindrical 

type Cylindrical struct {
	Radius float64 // distance from the origin to a point in the x-z plane
	Theta  float64 // counterclockwise angle in the x-z plane measured in radians from the positive z-axis
	Y      float64 // height above the x-z plane
}

func NewCylindrical 

func NewCylindrical(radius, theta, y float64) *Cylindrical

func (*Cylindrical) Clone 

func (c *Cylindrical) Clone() *Cylindrical

func (*Cylindrical) Copy 

func (c *Cylindrical) Copy(other *Cylindrical) *Cylindrical

func (*Cylindrical) Set 

func (c *Cylindrical) Set(radius, theta, y float64) *Cylindrical

func (*Cylindrical) SetFromCartesianCoords 

func (c *Cylindrical) SetFromCartesianCoords(x, y, z float64) *Cylindrical

func (*Cylindrical) SetFromVector3 

func (c *Cylindrical) SetFromVector3(v *Vector3) *Cylindrical

type EllipseCurve 

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

func NewEllipseCurve 

func NewEllipseCurve(aX, aY, xRadius, yRadius, aStartAngle, aEndAngle, aRotation float64, aClockwise bool) *EllipseCurve

func (*EllipseCurve) Clone 

func (c *EllipseCurve) Clone() *baseCurve

func (*EllipseCurve) ComputeFrenetFrames added in v0.0.6 

func (c *EllipseCurve) ComputeFrenetFrames(segments int, closed bool) map[string][]Vector3

func (*EllipseCurve) Copy 

func (c *EllipseCurve) Copy(source *EllipseCurve) *EllipseCurve

func (*EllipseCurve) Length 

func (c *EllipseCurve) Length() float64

func (*EllipseCurve) Lengths 

func (c *EllipseCurve) Lengths(divisions int) []float64

func (*EllipseCurve) LengthsDefault 

func (c *EllipseCurve) LengthsDefault() []float64

func (*EllipseCurve) Point 

func (c *EllipseCurve) Point(t float64) *Vector3

func (*EllipseCurve) PointAt 

func (c *EllipseCurve) PointAt(u float64) *Vector3

func (*EllipseCurve) Points 

func (c *EllipseCurve) Points(divisions int) []Vector3

func (*EllipseCurve) SpacedPoints 

func (c *EllipseCurve) SpacedPoints(divisions int) []Vector3

func (*EllipseCurve) Tangent added in v0.0.6 

func (c *EllipseCurve) Tangent(t float64) *Vector3

Returns a unit vector tangent at t In case any sub curve does not implement its tangent derivation, 2 points a small delta apart will be used to find its gradient which seems to give a reasonable approximation

func (*EllipseCurve) TangentAt added in v0.0.6 

func (c *EllipseCurve) TangentAt(u float64) *Vector3

func (*EllipseCurve) UpdateArcLengths 

func (c *EllipseCurve) UpdateArcLengths()

type Euler 

type Euler struct {
	X     float64
	Y     float64
	Z     float64
	Order EulerOrder
}

func NewEuler 

func NewEuler(x, y, z float64, order EulerOrder) *Euler

func (*Euler) Clone 

func (e *Euler) Clone() *Euler

func (*Euler) Copy 

func (e *Euler) Copy(euler *Euler) *Euler

func (*Euler) Equals 

func (e *Euler) Equals(euler *Euler) bool

func (*Euler) FromArray 

func (e *Euler) FromArray(array []float64) *Euler

func (*Euler) Reorder 

func (e *Euler) Reorder(newOrder EulerOrder) *Euler

func (*Euler) Set 

func (e *Euler) Set(x, y, z float64, order EulerOrder) *Euler

func (*Euler) SetFromQuaternion 

func (e *Euler) SetFromQuaternion(q Quaternion, order EulerOrder, update bool) *Euler

func (*Euler) SetFromRotationMatrix 

func (e *Euler) SetFromRotationMatrix(m Matrix4, order EulerOrder, update bool) *Euler

func (*Euler) SetFromVector3 

func (e *Euler) SetFromVector3(v Vector3, order EulerOrder) *Euler

func (*Euler) ToArray 

func (e *Euler) ToArray(array []float64, offset int) []float64

type EulerOrder 

type EulerOrder int
const (
	EULER_ORDER_XYZ EulerOrder = iota
	EULER_ORDER_YXZ
	EULER_ORDER_ZXY
	EULER_ORDER_ZYX
	EULER_ORDER_YZX
	EULER_ORDER_XZY
	EULER_ORDER_DEFAULT = EULER_ORDER_XYZ
)

type Line3 

type Line3 struct {
	Start, End Vector3
}

func NewLine3 

func NewLine3(start, end Vector3) *Line3

func (*Line3) ApplyMatrix4 

func (l *Line3) ApplyMatrix4(matrix Matrix4) *Line3

func (*Line3) At 

func (l *Line3) At(t float64) *Vector3

func (*Line3) Center 

func (l *Line3) Center() *Vector3

func (*Line3) Clone 

func (l *Line3) Clone() *Line3

func (*Line3) ClosestPointToPoint 

func (l *Line3) ClosestPointToPoint(point Vector3, clampToLine bool) *Vector3

func (*Line3) ClosestPointToPointParameter 

func (l *Line3) ClosestPointToPointParameter(point Vector3, clampToLine bool) float64

func (*Line3) Copy 

func (l *Line3) Copy(line Line3) *Line3

func (*Line3) Delta 

func (l *Line3) Delta() *Vector3

func (*Line3) Distance 

func (l *Line3) Distance() float64

func (*Line3) DistanceSq 

func (l *Line3) DistanceSq() float64

func (*Line3) Equals 

func (l *Line3) Equals(line Line3) bool

func (*Line3) Set 

func (l *Line3) Set(start, end Vector3) *Line3

type LineCurve 

type LineCurve struct {
	V1, V2 Vector3
	// contains filtered or unexported fields
}

func NewLineCurve3 

func NewLineCurve3(v1, v2 Vector3) *LineCurve

func (*LineCurve) Clone 

func (c *LineCurve) Clone() *baseCurve

func (*LineCurve) ComputeFrenetFrames added in v0.0.6 

func (c *LineCurve) ComputeFrenetFrames(segments int, closed bool) map[string][]Vector3

func (*LineCurve) Copy 

func (c *LineCurve) Copy(source baseCurve) *baseCurve

func (*LineCurve) Length 

func (c *LineCurve) Length() float64

func (*LineCurve) Lengths 

func (c *LineCurve) Lengths(divisions int) []float64

func (*LineCurve) LengthsDefault 

func (c *LineCurve) LengthsDefault() []float64

func (*LineCurve) Point 

func (c *LineCurve) Point(t float64) *Vector3

func (*LineCurve) PointAt 

func (c *LineCurve) PointAt(u float64) *Vector3

func (*LineCurve) Points 

func (c *LineCurve) Points(divisions int) []Vector3

func (*LineCurve) SpacedPoints 

func (c *LineCurve) SpacedPoints(divisions int) []Vector3

func (*LineCurve) Tangent added in v0.0.6 

func (c *LineCurve) Tangent(t float64) *Vector3

Returns a unit vector tangent at t In case any sub curve does not implement its tangent derivation, 2 points a small delta apart will be used to find its gradient which seems to give a reasonable approximation

func (*LineCurve) TangentAt added in v0.0.6 

func (c *LineCurve) TangentAt(u float64) *Vector3

func (*LineCurve) UpdateArcLengths 

func (c *LineCurve) UpdateArcLengths()

type Matrix3 

type Matrix3 [9]float64

func MultiplyMatrices 

func MultiplyMatrices(a, b Matrix3) *Matrix3

func NewMatrix3 

func NewMatrix3(n11, n12, n13, n21, n22, n23, n31, n32, n33 float64) *Matrix3

func NewMatrix3Identity 

func NewMatrix3Identity() *Matrix3

func (*Matrix3) Clone 

func (m *Matrix3) Clone() *Matrix3

func (*Matrix3) Copy 

func (m *Matrix3) Copy(matrix Matrix3) *Matrix3

func (*Matrix3) Demrminant 

func (m *Matrix3) Demrminant() float64

func (*Matrix3) Equals 

func (m *Matrix3) Equals(matrix Matrix3) bool

func (*Matrix3) FromArray 

func (m *Matrix3) FromArray(array []float64, offset int) *Matrix3

func (*Matrix3) Identity 

func (m *Matrix3) Identity() *Matrix3

func (*Matrix3) Invert 

func (m *Matrix3) Invert() *Matrix3

func (*Matrix3) MakeRotation 

func (m *Matrix3) MakeRotation(theta float64) *Matrix3

func (*Matrix3) MakeScale 

func (m *Matrix3) MakeScale(x, y float64) *Matrix3

func (*Matrix3) MakeTranslation 

func (m *Matrix3) MakeTranslation(x, y float64) *Matrix3

func (*Matrix3) Multiply 

func (m *Matrix3) Multiply(matrix Matrix3) *Matrix3

func (*Matrix3) MultiplyScalar 

func (m *Matrix3) MultiplyScalar(s float64) *Matrix3

func (*Matrix3) NormalMatrix 

func (m *Matrix3) NormalMatrix(matrix4 Matrix4) *Matrix3

func (*Matrix3) Premultiply 

func (m *Matrix3) Premultiply(matrix Matrix3) *Matrix3

func (*Matrix3) Rotam 

func (m *Matrix3) Rotam(theta float64) *Matrix3

func (*Matrix3) Scale 

func (m *Matrix3) Scale(sx, sy float64) *Matrix3

func (*Matrix3) Set 

func (m *Matrix3) Set(n11, n12, n13, n21, n22, n23, n31, n32, n33 float64) *Matrix3

func (*Matrix3) SetFromMatrix4 

func (m *Matrix3) SetFromMatrix4(me Matrix4) *Matrix3

func (*Matrix3) SetUvTransform 

func (m *Matrix3) SetUvTransform(tx, ty, sx, sy, rotation, cx, cy float64) *Matrix3

func (*Matrix3) ToArray 

func (m *Matrix3) ToArray(array []float64, offset int) []float64

func (*Matrix3) Translam 

func (m *Matrix3) Translam(tx, ty float64) *Matrix3

func (*Matrix3) Transpose 

func (m *Matrix3) Transpose() *Matrix3

func (*Matrix3) TransposeIntoArray 

func (m *Matrix3) TransposeIntoArray(r []float64) *Matrix3

type Matrix4 

type Matrix4 [16]float64

func MakeRotationFromQuaternion 

func MakeRotationFromQuaternion(q Quaternion) *Matrix4

func MultiplyMatrice4s 

func MultiplyMatrice4s(a, b Matrix4) *Matrix4

func NewMatrix4 

func NewMatrix4(n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44 float64) *Matrix4

func NewMatrix4Identity 

func NewMatrix4Identity() *Matrix4

func (*Matrix4) Clone 

func (m *Matrix4) Clone() *Matrix4

func (*Matrix4) Compose 

func (m *Matrix4) Compose(position Vector3, rotation Quaternion, scale Vector3) *Matrix4

func (*Matrix4) Copy 

func (m *Matrix4) Copy(matrix Matrix4) *Matrix4

func (*Matrix4) CopyPosition 

func (m *Matrix4) CopyPosition(matrix Matrix4) *Matrix4

func (*Matrix4) Decompose 

func (m *Matrix4) Decompose() (position Vector3, rotation Quaternion, scale Vector3)

func (*Matrix4) Demrminant 

func (m *Matrix4) Demrminant() float64

func (*Matrix4) Equals 

func (m *Matrix4) Equals(matrix Matrix4) bool

func (*Matrix4) ExtractBasis 

func (m *Matrix4) ExtractBasis() (xAxis, yAxis, zAxis Vector3)

func (*Matrix4) ExtractRotation 

func (m *Matrix4) ExtractRotation(matrix Matrix4) *Matrix4

func (*Matrix4) FromArray 

func (m *Matrix4) FromArray(array []float64, offset int) *Matrix4

func (*Matrix4) Identity 

func (m *Matrix4) Identity() *Matrix4

func (*Matrix4) Invert 

func (m *Matrix4) Invert() *Matrix4

func (*Matrix4) LookAt 

func (m *Matrix4) LookAt(eye, target, up Vector3) *Matrix4

func (*Matrix4) MakeBasis 

func (m *Matrix4) MakeBasis(xAxis, yAxis, zAxis Vector3) *Matrix4

func (*Matrix4) MakeOrthographic 

func (m *Matrix4) MakeOrthographic(left, right, top, bottom, near, far float64) *Matrix4

func (*Matrix4) MakePerspective 

func (m *Matrix4) MakePerspective(left, right, top, bottom, near, far float64) *Matrix4

func (*Matrix4) MakeRotationAxis 

func (m *Matrix4) MakeRotationAxis(axis Vector3, angle float64) *Matrix4

func (*Matrix4) MakeRotationFromEuler 

func (m *Matrix4) MakeRotationFromEuler(euler Euler) *Matrix4

func (*Matrix4) MakeRotationX 

func (m *Matrix4) MakeRotationX(theta float64) *Matrix4

func (*Matrix4) MakeRotationY 

func (m *Matrix4) MakeRotationY(theta float64) *Matrix4

func (*Matrix4) MakeRotationZ 

func (m *Matrix4) MakeRotationZ(theta float64) *Matrix4

func (*Matrix4) MakeScale 

func (m *Matrix4) MakeScale(v Vector3) *Matrix4

func (*Matrix4) MakeShear 

func (m *Matrix4) MakeShear(xy, xz, yx, yz, zx, zy float64) *Matrix4

func (*Matrix4) MakeTranslation 

func (m *Matrix4) MakeTranslation(v Vector3) *Matrix4

func (*Matrix4) MaxScaleOnAxis 

func (m *Matrix4) MaxScaleOnAxis() float64

func (*Matrix4) Multiply 

func (m *Matrix4) Multiply(m2 Matrix4) *Matrix4

func (*Matrix4) MultiplyScalar 

func (m *Matrix4) MultiplyScalar(s float64) *Matrix4

func (*Matrix4) Premultiply 

func (m *Matrix4) Premultiply(m2 Matrix4) *Matrix4

func (*Matrix4) Scale 

func (m *Matrix4) Scale(v Vector3) *Matrix4

func (*Matrix4) Set 

func (m *Matrix4) Set(n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44 float64) *Matrix4

func (*Matrix4) SetFromMatrix3 

func (m *Matrix4) SetFromMatrix3(matrix Matrix3) *Matrix4

func (*Matrix4) SetPosition 

func (m *Matrix4) SetPosition(v Vector3) *Matrix4

func (*Matrix4) ToArray 

func (m *Matrix4) ToArray(array []float64, offset int) []float64

func (*Matrix4) Transpose 

func (m *Matrix4) Transpose() *Matrix4

type Plane 

type Plane struct {
	Normal   Vector3
	Constant float64
}

func NewPlane 

func NewPlane(normal Vector3, constant float64) *Plane

func (*Plane) ApplyMatrix4 

func (p *Plane) ApplyMatrix4(matrix Matrix4, optionalNormalMatrix *Matrix3) *Plane

func (*Plane) Clone 

func (p *Plane) Clone() *Plane

func (*Plane) CoplanarPoint 

func (p *Plane) CoplanarPoint() *Vector3

func (*Plane) Copy 

func (p *Plane) Copy(plane Plane) *Plane

func (*Plane) DistanceToPoint 

func (p *Plane) DistanceToPoint(point Vector3) float64

func (*Plane) DistanceToSphere 

func (p *Plane) DistanceToSphere(sphere Sphere) float64

func (*Plane) Equals 

func (p *Plane) Equals(plane Plane) bool

func (*Plane) IntersectLine 

func (p *Plane) IntersectLine(line Line3) *Vector3

func (*Plane) IntersectsBox 

func (p *Plane) IntersectsBox(box Box3) bool

func (*Plane) IntersectsLine 

func (p *Plane) IntersectsLine(line Line3) bool

func (*Plane) IntersectsSphere 

func (p *Plane) IntersectsSphere(sphere Sphere) bool

func (*Plane) Negate 

func (p *Plane) Negate() *Plane

func (*Plane) Normalize 

func (p *Plane) Normalize() *Plane

func (*Plane) ProjectPoint 

func (p *Plane) ProjectPoint(point Vector3) *Vector3

func (*Plane) Set 

func (p *Plane) Set(normal Vector3, constant float64) *Plane

func (*Plane) SetComponents 

func (p *Plane) SetComponents(x, y, z, w float64) *Plane

func (*Plane) SetFromCoplanarPoints 

func (p *Plane) SetFromCoplanarPoints(a, b, c Vector3) *Plane

func (*Plane) SetFromNormalAndCoplanarPoint 

func (p *Plane) SetFromNormalAndCoplanarPoint(normal, point Vector3) *Plane

func (*Plane) Translate 

func (p *Plane) Translate(offset Vector3) *Plane

type Quaternion 

type Quaternion struct {
	X, Y, Z, W float64
}

func MultiplyQuaternions 

func MultiplyQuaternions(a, b Quaternion) *Quaternion

func NewIdentityQuaternion 

func NewIdentityQuaternion() *Quaternion

func NewQuaternion 

func NewQuaternion(x, y, z, w float64) *Quaternion

func (*Quaternion) AngleTo 

func (q *Quaternion) AngleTo(qb Quaternion) float64

func (*Quaternion) Clone 

func (q *Quaternion) Clone() *Quaternion

func (*Quaternion) Conjugate 

func (q *Quaternion) Conjugate() *Quaternion

func (*Quaternion) Copy 

func (q *Quaternion) Copy(quaternion Quaternion) *Quaternion

func (*Quaternion) Dot 

func (q *Quaternion) Dot(v Quaternion) float64

func (*Quaternion) Equals 

func (q *Quaternion) Equals(quaternion Quaternion) bool

func (*Quaternion) FromArray 

func (q *Quaternion) FromArray(array []float64, offset int) *Quaternion

func (*Quaternion) Identity 

func (q *Quaternion) Identity() *Quaternion

func (*Quaternion) Invert 

func (q *Quaternion) Invert() *Quaternion

func (*Quaternion) Length 

func (q *Quaternion) Length() float64

func (*Quaternion) LengthSq 

func (q *Quaternion) LengthSq() float64

func (*Quaternion) Multiply 

func (q *Quaternion) Multiply(qb Quaternion) *Quaternion

func (*Quaternion) MultiplyQuaternionsFlat 

func (q *Quaternion) MultiplyQuaternionsFlat(dst []float64, dstOffset int, src0 []float64, srcOffset0 int, src1 []float64, srcOffset1 int) []float64

func (*Quaternion) Normalize 

func (q *Quaternion) Normalize() *Quaternion

func (*Quaternion) Premultiply 

func (q *Quaternion) Premultiply(qb Quaternion) *Quaternion

func (*Quaternion) RotateTowards 

func (q *Quaternion) RotateTowards(qb Quaternion, step float64) *Quaternion

func (*Quaternion) Set 

func (q *Quaternion) Set(x, y, z, w float64) *Quaternion

func (*Quaternion) SetFromAxisAngle 

func (q *Quaternion) SetFromAxisAngle(axis Vector3, angle float64) *Quaternion

func (*Quaternion) SetFromEuler 

func (q *Quaternion) SetFromEuler(euler Euler) *Quaternion

func (*Quaternion) SetFromRotationMatrix 

func (q *Quaternion) SetFromRotationMatrix(m Matrix4) *Quaternion

func (*Quaternion) SetFromUnitVectors 

func (q *Quaternion) SetFromUnitVectors(vFrom, vTo Vector3) *Quaternion

func (*Quaternion) Slerp 

func (q *Quaternion) Slerp(qb Quaternion, t float64) *Quaternion

func (*Quaternion) SlerpFlat 

func (q *Quaternion) SlerpFlat(dst []float64, dstOffset int, src0 []float64, srcOffset0 int, src1 []float64, srcOffset1 int, t float64)

func (*Quaternion) ToArray 

func (q *Quaternion) ToArray(array []float64, offset int) []float64

type Ray 

type Ray struct {
	Origin, Dir Vector3
}

func NewRay 

func NewRay(origin, dir Vector3) *Ray

func (*Ray) ApplyMatrix4 

func (r *Ray) ApplyMatrix4(matrix4 Matrix4) *Ray

func (*Ray) At 

func (r *Ray) At(t float64) *Vector3

func (*Ray) Clone 

func (r *Ray) Clone() *Ray

func (*Ray) ClosestPointToPoint 

func (r *Ray) ClosestPointToPoint(point Vector3) *Vector3

func (*Ray) Copy 

func (r *Ray) Copy(ray *Ray) *Ray

func (*Ray) DistanceSqToPoint 

func (r *Ray) DistanceSqToPoint(point Vector3) float64

func (*Ray) DistanceSqToSegment 

func (r *Ray) DistanceSqToSegment(v0, v1 Vector3, optionalPointOnRay, optionalPointOnSegment *Vector3) float64

func (*Ray) DistanceToPlane 

func (r *Ray) DistanceToPlane(plane *Plane) float64

func (*Ray) DistanceToPoint 

func (r *Ray) DistanceToPoint(point Vector3) float64

func (*Ray) Equals 

func (r *Ray) Equals(ray Ray) bool

func (*Ray) IntersectBox 

func (r *Ray) IntersectBox(box *Box3) *Vector3

func (*Ray) IntersectPlane 

func (r *Ray) IntersectPlane(plane *Plane) *Vector3

func (*Ray) IntersectSphere 

func (r *Ray) IntersectSphere(sphere *Sphere, target *Vector3) *Vector3

func (*Ray) IntersectTriangle 

func (r *Ray) IntersectTriangle(a, b, c Vector3, backfaceCulling bool) *Vector3

func (*Ray) IntersectsBox 

func (r *Ray) IntersectsBox(box *Box3) bool

func (*Ray) IntersectsPlane 

func (r *Ray) IntersectsPlane(plane *Plane) bool

func (*Ray) IntersectsSphere 

func (r *Ray) IntersectsSphere(sphere *Sphere) bool

func (*Ray) LookAt 

func (r *Ray) LookAt(v *Vector3) *Ray

func (*Ray) Recast 

func (r *Ray) Recast(t float64) *Ray

func (*Ray) Set 

func (r *Ray) Set(origin, dir Vector3) *Ray

type Sphere 

type Sphere struct {
	Center Vector3
	Radius float64
}

func NewSphere 

func NewSphere(center Vector3, radius float64) *Sphere

func (*Sphere) ApplyMatrix4 

func (s *Sphere) ApplyMatrix4(matrix Matrix4) *Sphere

func (*Sphere) BoundingBox 

func (s *Sphere) BoundingBox() *Box3

func (*Sphere) ClampPoint 

func (s *Sphere) ClampPoint(point Vector3) *Vector3

func (*Sphere) Clone 

func (s *Sphere) Clone() *Sphere

func (*Sphere) ContainsPoint 

func (s *Sphere) ContainsPoint(point Vector3) bool

func (*Sphere) Copy 

func (s *Sphere) Copy(sphere Sphere) *Sphere

func (*Sphere) DistanceToPoint 

func (s *Sphere) DistanceToPoint(point Vector3) float64

func (*Sphere) Equals 

func (s *Sphere) Equals(sphere Sphere) bool

func (*Sphere) ExpandByPoint 

func (s *Sphere) ExpandByPoint(point Vector3) *Sphere

func (*Sphere) IntersectsBox 

func (s *Sphere) IntersectsBox(box Box3) bool

func (*Sphere) IntersectsPlane 

func (s *Sphere) IntersectsPlane(plane Plane) bool

func (*Sphere) IntersectsSphere 

func (s *Sphere) IntersectsSphere(sphere Sphere) bool

func (*Sphere) IsEmpty 

func (s *Sphere) IsEmpty() bool

func (*Sphere) MakeEmpty 

func (s *Sphere) MakeEmpty() *Sphere

func (*Sphere) Set 

func (s *Sphere) Set(center Vector3, radius float64) *Sphere

func (*Sphere) SetFromPoints 

func (s *Sphere) SetFromPoints(points []Vector3, optionalCenter *Vector3) *Sphere

func (*Sphere) Translate 

func (s *Sphere) Translate(offset Vector3) *Sphere

func (*Sphere) Union 

func (s *Sphere) Union(sphere Sphere) *Sphere

type Spherical 

type Spherical struct {
	Radius, Phi, Theta float64
}

func NewSpherical 

func NewSpherical(radius, phi, theta float64) *Spherical

func (*Spherical) Clone 

func (s *Spherical) Clone() *Spherical

func (*Spherical) Copy 

func (s *Spherical) Copy(other *Spherical) *Spherical

func (*Spherical) MakeSafe 

func (s *Spherical) MakeSafe() *Spherical

func (*Spherical) Set 

func (s *Spherical) Set(radius, phi, theta float64) *Spherical

func (*Spherical) SetFromCartesianCoords 

func (s *Spherical) SetFromCartesianCoords(x, y, z float64) *Spherical

func (*Spherical) SetFromVector3 

func (s *Spherical) SetFromVector3(v *Vector3) *Spherical

type SphericalHarmonics3 

type SphericalHarmonics3 [9]Vector3

func NewSphericalHarmonics3 

func NewSphericalHarmonics3() *SphericalHarmonics3

func (*SphericalHarmonics3) Add 

func (sh *SphericalHarmonics3) Add(sh2 SphericalHarmonics3) *SphericalHarmonics3

func (*SphericalHarmonics3) AddScaledSH 

func (sh *SphericalHarmonics3) AddScaledSH(sh2 SphericalHarmonics3, s float64) *SphericalHarmonics3

func (*SphericalHarmonics3) BasisAt 

func (sh *SphericalHarmonics3) BasisAt(normal Vector3, shBasis []float64) []float64

GetBasisAt evaluates the basis functions

func (*SphericalHarmonics3) Clone 

func (sh *SphericalHarmonics3) Clone() *SphericalHarmonics3

func (*SphericalHarmonics3) Copy 

func (sh *SphericalHarmonics3) Copy(sh2 SphericalHarmonics3) *SphericalHarmonics3

func (*SphericalHarmonics3) Equals 

func (sh *SphericalHarmonics3) Equals(sh2 SphericalHarmonics3) bool

func (*SphericalHarmonics3) FromArray 

func (sh *SphericalHarmonics3) FromArray(array []float64, offset int) *SphericalHarmonics3

func (*SphericalHarmonics3) GetAt 

func (sh *SphericalHarmonics3) GetAt(normal *Vector3) *Vector3

GetAt returns the radiance in the direction of the normal

func (*SphericalHarmonics3) GetIrradianceAt 

func (sh *SphericalHarmonics3) GetIrradianceAt(normal Vector3) *Vector3

GetIrradianceAt returns the irradiance (radiance convolved with cosine lobe) in the direction of the normal

func (*SphericalHarmonics3) Lerp 

func (sh *SphericalHarmonics3) Lerp(sh2 SphericalHarmonics3, alpha float64) *SphericalHarmonics3

func (*SphericalHarmonics3) Scale 

func (sh *SphericalHarmonics3) Scale(s float64) *SphericalHarmonics3

func (*SphericalHarmonics3) Set 

func (sh *SphericalHarmonics3) Set(coefficients ...Vector3) *SphericalHarmonics3

func (*SphericalHarmonics3) ToArray 

func (sh *SphericalHarmonics3) ToArray(array []float64, offset int) []float64

func (*SphericalHarmonics3) Zero 

func (sh *SphericalHarmonics3) Zero() *SphericalHarmonics3

type SplineCurve 

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

func NewSplineCurve 

func NewSplineCurve(points ...Vector3) *SplineCurve

func (*SplineCurve) Clone 

func (c *SplineCurve) Clone() *baseCurve

func (*SplineCurve) ComputeFrenetFrames added in v0.0.6 

func (c *SplineCurve) ComputeFrenetFrames(segments int, closed bool) map[string][]Vector3

func (*SplineCurve) Copy 

func (c *SplineCurve) Copy(source baseCurve) *baseCurve

func (*SplineCurve) Length 

func (c *SplineCurve) Length() float64

func (*SplineCurve) Lengths 

func (c *SplineCurve) Lengths(divisions int) []float64

func (*SplineCurve) LengthsDefault 

func (c *SplineCurve) LengthsDefault() []float64

func (*SplineCurve) Point 

func (c *SplineCurve) Point(t float64) *Vector3

func (*SplineCurve) PointAt 

func (c *SplineCurve) PointAt(u float64) *Vector3

func (*SplineCurve) Points 

func (c *SplineCurve) Points(divisions int) []Vector3

func (*SplineCurve) SpacedPoints 

func (c *SplineCurve) SpacedPoints(divisions int) []Vector3

func (*SplineCurve) Tangent added in v0.0.6 

func (c *SplineCurve) Tangent(t float64) *Vector3

Returns a unit vector tangent at t In case any sub curve does not implement its tangent derivation, 2 points a small delta apart will be used to find its gradient which seems to give a reasonable approximation

func (*SplineCurve) TangentAt added in v0.0.6 

func (c *SplineCurve) TangentAt(u float64) *Vector3

func (*SplineCurve) UpdateArcLengths 

func (c *SplineCurve) UpdateArcLengths()

type Triangle 

type Triangle struct {
	A, B, C Vector3
}

func NewTriangle 

func NewTriangle(a, b, c Vector3) Triangle

func (*Triangle) Area 

func (t *Triangle) Area() float64

func (*Triangle) Barycoord 

func (t *Triangle) Barycoord(point Vector3) *Vector3

func (*Triangle) Clone 

func (t *Triangle) Clone() Triangle

func (*Triangle) ClosestPointToPoint 

func (t *Triangle) ClosestPointToPoint(p Vector3) *Vector3

func (*Triangle) ContainsPoint 

func (t *Triangle) ContainsPoint(point Vector3) bool

func (*Triangle) Copy 

func (t *Triangle) Copy(triangle Triangle) *Triangle

func (*Triangle) Equals 

func (t *Triangle) Equals(triangle Triangle) bool

func (*Triangle) Interpolation 

func (t *Triangle) Interpolation(point, p1, p2, p3, v1, v2, v3 Vector3) *Vector3

func (*Triangle) IsFrontFacing 

func (t *Triangle) IsFrontFacing(direction Vector3) bool

func (*Triangle) Midpoint 

func (t *Triangle) Midpoint() *Vector3

func (*Triangle) Normal 

func (t *Triangle) Normal() *Vector3

func (*Triangle) Plane 

func (t *Triangle) Plane() *Plane

func (*Triangle) Set 

func (t *Triangle) Set(a, b, c Vector3) *Triangle

func (*Triangle) SetFromPointsAndIndices 

func (t *Triangle) SetFromPointsAndIndices(points []Vector3, i0, i1, i2 int) *Triangle

type Vector2 

type Vector2 struct {
	X float64
	Y float64
}

func AddScaledVector2 

func AddScaledVector2(vector Vector2, scalar float64) *Vector2

func AddVector2s 

func AddVector2s(a, b Vector2) *Vector2

func LerpVectors 

func LerpVectors(v1, v2 Vector2, alpha float64) *Vector2

func NewOneVector2 

func NewOneVector2() *Vector2

func NewVector2 

func NewVector2(x, y float64) *Vector2

func NewZeroVector2 

func NewZeroVector2() *Vector2

func SubVector2s 

func SubVector2s(a, b Vector2) *Vector2

func (*Vector2) Add 

func (v *Vector2) Add(vector Vector2) *Vector2

func (*Vector2) AddScalar 

func (v *Vector2) AddScalar(scalar float64) *Vector2

func (*Vector2) Angle 

func (v *Vector2) Angle() float64

func (*Vector2) AngleTo 

func (v *Vector2) AngleTo(vector Vector2) float64

func (*Vector2) ApplyMatrix3 

func (v *Vector2) ApplyMatrix3(m Matrix3) *Vector2

func (*Vector2) Ceil 

func (v *Vector2) Ceil() *Vector2

func (*Vector2) Clamp 

func (v *Vector2) Clamp(minVal, maxVal Vector2) *Vector2

func (*Vector2) ClampLength 

func (v *Vector2) ClampLength(minVal, maxVal float64) *Vector2

func (*Vector2) ClampScalar 

func (v *Vector2) ClampScalar(minVal, maxVal float64) *Vector2

func (*Vector2) Clone 

func (v *Vector2) Clone() *Vector2

func (*Vector2) Component 

func (v *Vector2) Component(index int) float64

func (*Vector2) Copy 

func (v *Vector2) Copy(vector Vector2) *Vector2

func (*Vector2) Cross 

func (v *Vector2) Cross(vector Vector2) float64

func (*Vector2) DistanceTo 

func (v *Vector2) DistanceTo(vector Vector2) float64

func (*Vector2) DistanceToSquared 

func (v *Vector2) DistanceToSquared(vector Vector2) float64

func (*Vector2) Divide 

func (v *Vector2) Divide(vector Vector2) *Vector2

func (*Vector2) DivideScalar 

func (v *Vector2) DivideScalar(scalar float64) *Vector2

func (*Vector2) Dot 

func (v *Vector2) Dot(vector Vector2) float64

func (*Vector2) Equals 

func (v *Vector2) Equals(vector Vector2) bool

func (*Vector2) Floor 

func (v *Vector2) Floor() *Vector2

func (*Vector2) FromArray 

func (v *Vector2) FromArray(array []float64, offset int) *Vector2

func (*Vector2) Height 

func (v *Vector2) Height() float64

func (*Vector2) Length 

func (v *Vector2) Length() float64

func (*Vector2) LengthSq 

func (v *Vector2) LengthSq() float64

func (*Vector2) Lerp 

func (v *Vector2) Lerp(vector Vector2, alpha float64) *Vector2

func (*Vector2) ManhattanDistanceTo 

func (v *Vector2) ManhattanDistanceTo(vector Vector2) float64

func (*Vector2) ManhattanLength 

func (v *Vector2) ManhattanLength() float64

func (*Vector2) Max 

func (v *Vector2) Max(vector Vector2) *Vector2

func (*Vector2) Min 

func (v *Vector2) Min(vector Vector2) *Vector2

func (*Vector2) Multiply 

func (v *Vector2) Multiply(vector Vector2) *Vector2

func (*Vector2) MultiplyScalar 

func (v *Vector2) MultiplyScalar(scalar float64) *Vector2

func (*Vector2) Negate 

func (v *Vector2) Negate() *Vector2

func (*Vector2) Normalize 

func (v *Vector2) Normalize() *Vector2

func (*Vector2) Random 

func (v *Vector2) Random() *Vector2

func (*Vector2) RotateAround 

func (v *Vector2) RotateAround(center Vector2, angle float64) *Vector2

func (*Vector2) Round 

func (v *Vector2) Round() *Vector2

func (*Vector2) RoundToZero 

func (v *Vector2) RoundToZero() *Vector2

func (*Vector2) Set 

func (v *Vector2) Set(x, y float64) *Vector2

func (*Vector2) SetComponent 

func (v *Vector2) SetComponent(index int, value float64) *Vector2

func (*Vector2) SetHeight 

func (v *Vector2) SetHeight(value float64) *Vector2

func (*Vector2) SetLength 

func (v *Vector2) SetLength(length float64) *Vector2

func (*Vector2) SetScalar 

func (v *Vector2) SetScalar(scalar float64) *Vector2

func (*Vector2) SetWidth 

func (v *Vector2) SetWidth(value float64) *Vector2

func (*Vector2) SetX 

func (v *Vector2) SetX(x float64) *Vector2

func (*Vector2) SetY 

func (v *Vector2) SetY(y float64) *Vector2

func (*Vector2) Sub 

func (v *Vector2) Sub(vector Vector2) *Vector2

func (*Vector2) SubScalar 

func (v *Vector2) SubScalar(scalar float64) *Vector2

func (*Vector2) ToArray 

func (v *Vector2) ToArray(array []float64, offset int) []float64

func (*Vector2) Width 

func (v *Vector2) Width() float64

type Vector3 

type Vector3 struct {
	X, Y, Z float64
}

func AddVector3s 

func AddVector3s(a, b Vector3) *Vector3

func CrossVector3s 

func CrossVector3s(a, b Vector3) *Vector3

func LerpVector3s 

func LerpVector3s(v1, v2 Vector3, alpha float64) *Vector3

func MultiplyVector3s 

func MultiplyVector3s(a, b Vector3) *Vector3

func NewOneVector3 

func NewOneVector3() *Vector3

func NewVector3 

func NewVector3(x, y, z float64) *Vector3

func NewZeroVector3 

func NewZeroVector3() *Vector3

func SubVector3s 

func SubVector3s(a, b Vector3) *Vector3

func (*Vector3) Add 

func (v *Vector3) Add(v2 Vector3) *Vector3

func (*Vector3) AddScalar 

func (v *Vector3) AddScalar(scalar float64) *Vector3

func (*Vector3) AddScaledVector 

func (v *Vector3) AddScaledVector(vector Vector3, scalar float64) *Vector3

func (*Vector3) AngleTo 

func (v *Vector3) AngleTo(v2 Vector3) float64

func (*Vector3) ApplyAxisAngle 

func (v *Vector3) ApplyAxisAngle(axis Vector3, angle float64) *Vector3

func (*Vector3) ApplyEuler 

func (v *Vector3) ApplyEuler(e Euler) *Vector3

func (*Vector3) ApplyMatrix3 

func (v *Vector3) ApplyMatrix3(m Matrix3) *Vector3

func (*Vector3) ApplyMatrix4 

func (v *Vector3) ApplyMatrix4(m Matrix4) *Vector3

func (*Vector3) ApplyNormalMatrix 

func (v *Vector3) ApplyNormalMatrix(m Matrix3) *Vector3

func (*Vector3) ApplyQuaternion 

func (v *Vector3) ApplyQuaternion(q Quaternion) *Vector3

func (*Vector3) Ceil 

func (v *Vector3) Ceil() *Vector3

func (*Vector3) Clamp 

func (v *Vector3) Clamp(minVal, maxVal Vector3) *Vector3

func (*Vector3) ClampLength 

func (v *Vector3) ClampLength(minVal, maxVal float64) *Vector3

func (*Vector3) ClampScalar 

func (v *Vector3) ClampScalar(minVal, maxVal float64) *Vector3

func (*Vector3) Clone 

func (v *Vector3) Clone() *Vector3

func (*Vector3) Component 

func (v *Vector3) Component(index int) float64

func (*Vector3) Copy 

func (v *Vector3) Copy(vector Vector3) *Vector3

func (*Vector3) Cross 

func (v *Vector3) Cross(v2 Vector3) *Vector3

func (*Vector3) DistanceTo 

func (v *Vector3) DistanceTo(v2 Vector3) float64

func (*Vector3) DistanceToSquared 

func (v *Vector3) DistanceToSquared(v2 Vector3) float64

func (*Vector3) Divide 

func (v *Vector3) Divide(v2 Vector3) *Vector3

func (*Vector3) DivideScalar 

func (v *Vector3) DivideScalar(scalar float64) *Vector3

func (*Vector3) Dot 

func (v *Vector3) Dot(v2 Vector3) float64

func (*Vector3) Equals 

func (v *Vector3) Equals(v2 Vector3) bool

func (*Vector3) Floor 

func (v *Vector3) Floor() *Vector3

func (*Vector3) FromArray 

func (v *Vector3) FromArray(array []float64, offset int) *Vector3

func (*Vector3) Length 

func (v *Vector3) Length() float64

func (*Vector3) LengthSq 

func (v *Vector3) LengthSq() float64

func (*Vector3) Lerp 

func (v *Vector3) Lerp(v2 Vector3, alpha float64) *Vector3

func (*Vector3) ManhattanDistanceTo 

func (v *Vector3) ManhattanDistanceTo(v2 Vector3) float64

func (*Vector3) Max 

func (v *Vector3) Max(v2 Vector3) *Vector3

func (*Vector3) Min 

func (v *Vector3) Min(v2 Vector3) *Vector3

func (*Vector3) Multiply 

func (v *Vector3) Multiply(v2 Vector3) *Vector3

func (*Vector3) MultiplyScalar 

func (v *Vector3) MultiplyScalar(scalar float64) *Vector3

func (*Vector3) Negate 

func (v *Vector3) Negate() *Vector3

func (*Vector3) Normalize 

func (v *Vector3) Normalize() *Vector3

func (*Vector3) ProjectOnPlane 

func (v *Vector3) ProjectOnPlane(planeNormal Vector3) *Vector3

func (*Vector3) ProjectOnVector 

func (v *Vector3) ProjectOnVector(v2 Vector3) *Vector3

func (*Vector3) Random 

func (v *Vector3) Random() *Vector3

func (*Vector3) RandomDirection 

func (v *Vector3) RandomDirection() *Vector3

func (*Vector3) Reflect 

func (v *Vector3) Reflect(normal Vector3) *Vector3

func (*Vector3) Round 

func (v *Vector3) Round() *Vector3

func (*Vector3) RoundToZero 

func (v *Vector3) RoundToZero() *Vector3

func (*Vector3) Set 

func (v *Vector3) Set(x, y, z float64) *Vector3

func (*Vector3) SetComponent 

func (v *Vector3) SetComponent(index int, value float64) *Vector3

func (*Vector3) SetFromCylindrical 

func (v *Vector3) SetFromCylindrical(c Cylindrical) *Vector3

func (*Vector3) SetFromCylindricalCoords 

func (v *Vector3) SetFromCylindricalCoords(radius, theta, y float64) *Vector3

func (*Vector3) SetFromMatrixColumn 

func (v *Vector3) SetFromMatrixColumn(m Matrix4, index int) *Vector3

func (*Vector3) SetFromMatrixPosition 

func (v *Vector3) SetFromMatrixPosition(m Matrix4) *Vector3

func (*Vector3) SetFromMatrixScale 

func (v *Vector3) SetFromMatrixScale(m Matrix4) *Vector3

func (*Vector3) SetFromSpherical 

func (v *Vector3) SetFromSpherical(s Spherical) *Vector3

func (*Vector3) SetFromSphericalCoords 

func (v *Vector3) SetFromSphericalCoords(radius, phi, theta float64) *Vector3

func (*Vector3) SetLength 

func (v *Vector3) SetLength(length float64) *Vector3

func (*Vector3) SetScalar 

func (v *Vector3) SetScalar(scalar float64) *Vector3

func (*Vector3) Sub 

func (v *Vector3) Sub(v2 Vector3) *Vector3

func (*Vector3) SubScalar 

func (v *Vector3) SubScalar(scalar float64) *Vector3

func (*Vector3) ToArray 

func (v *Vector3) ToArray(array []float64, offset int) []float64

func (*Vector3) TransformDirection 

func (v *Vector3) TransformDirection(m Matrix4) *Vector3

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