vec3

Documentation

Overview

Package vec3 contains a 3D float64 vector type T and functions.

Index

• Variables
• func Angle(a, b *T) float64
• func Distance(a, b *T) float64
• func Dot(a, b *T) float64
• func SquareDistance(a, b *T) float64
• type Box
  • func Joined(a, b *Box) Box
  • func ParseBox(s string) (r Box, err error)
  • func (box *Box) Center() T
  • func (box *Box) ContainsPoint(p *T) bool
  • func (box *Box) Diagonal() T
  • func (box *Box) Intersects(other *Box) bool
  • func (box *Box) Join(other *Box)
  • func (box *Box) String() string
• type T
  • func Add(a, b *T) T
  • func Cross(a, b *T) T
  • func From(other generic.T) T
  • func Interpolate(a, b *T, t float64) T
  • func Max(a, b *T) T
  • func Min(a, b *T) T
  • func Mul(a, b *T) T
  • func Parse(s string) (r T, err error)
  • func Sub(a, b *T) T
  • func (vec *T) Abs() *T
  • func (vec *T) Absed() T
  • func (vec *T) Add(v *T) *T
  • func (vec *T) Clamp(min, max *T) *T
  • func (vec *T) Clamp01() *T
  • func (vec *T) Clamped(min, max *T) T
  • func (vec *T) Clamped01() T
  • func (vec *T) Cols() int
  • func (vec *T) Get(col, row int) float64
  • func (vec *T) Invert() *T
  • func (vec *T) Inverted() T
  • func (vec *T) IsZero() bool
  • func (vec *T) Length() float64
  • func (vec *T) LengthSqr() float64
  • func (vec *T) Mul(v *T) *T
  • func (vec *T) Normal() T
  • func (vec *T) Normalize() *T
  • func (vec *T) Normalized() T
  • func (vec *T) Rows() int
  • func (vec *T) Scale(f float64) *T
  • func (vec *T) Scaled(f float64) T
  • func (vec *T) Size() int
  • func (vec *T) Slice() []float64
  • func (vec *T) String() string
  • func (vec *T) Sub(v *T) *T

Variables

var (
	// Zero holds a zero vector.
	Zero = T{}

	// UnitX holds a vector with X set to one.
	UnitX = T{1, 0, 0}
	// UnitY holds a vector with Y set to one.
	UnitY = T{0, 1, 0}
	// UnitZ holds a vector with Z set to one.
	UnitZ = T{0, 0, 1}
	// UnitXYZ holds a vector with X, Y, Z set to one.
	UnitXYZ = T{1, 1, 1}

	// Red holds the color red.
	Red = T{1, 0, 0}
	// Green holds the color green.
	Green = T{0, 1, 0}
	// Blue holds the color black.
	Blue = T{0, 0, 1}
	// Black holds the color black.
	Black = T{0, 0, 0}
	// White holds the color white.
	White = T{1, 1, 1}

	// MinVal holds a vector with the smallest possible component values.
	MinVal = T{-math.MaxFloat64, -math.MaxFloat64, -math.MaxFloat64}
	// MaxVal holds a vector with the highest possible component values.
	MaxVal = T{+math.MaxFloat64, +math.MaxFloat64, +math.MaxFloat64}
)

var (
	// MaxBox holds a box that contains the entire R3 space that can be represented as vec3
	MaxBox = Box{MinVal, MaxVal}
)

Functions

func Angle

func Angle(a, b *T) float64

Angle returns the angle between two vectors.

func Distance

func Distance(a, b *T) float64

Distance between two vectors

func Dot

func Dot(a, b *T) float64

Dot returns the dot product of two vectors.

func SquareDistance

func SquareDistance(a, b *T) float64

Squared Distance between two vectors

Types

type Box

type Box struct {
	Min T
	Max T
}

Box is a coordinate system aligned 3D box defined by a Min and Max vector.

func Joined

func Joined(a, b *Box) Box

Joined returns the minimal box containing both a and b.

func ParseBox

func ParseBox(s string) (r Box, err error)

ParseBox parses a Box from a string. See also String()

func (*Box) Center

func (box *Box) Center() T

func (*Box) ContainsPoint

func (box *Box) ContainsPoint(p *T) bool

ContainsPoint returns if a point is contained within the box.

func (*Box) Diagonal

func (box *Box) Diagonal() T

func (*Box) Intersects

func (box *Box) Intersects(other *Box) bool

Intersects returns true if this and the given box intersect. For an explanation of the algorithm, see http://rbrundritt.wordpress.com/2009/10/03/determining-if-two-bounding-boxes-overlap/

func (*Box) Join

func (box *Box) Join(other *Box)

Join enlarges this box to contain also the given box.

func (*Box) String

func (box *Box) String() string

String formats Box as string. See also ParseBox().

type T

type T [3]float64

T represents a 3D vector.

func Add

func Add(a, b *T) T

Add returns the sum of two vectors.

func Cross

func Cross(a, b *T) T

Cross returns the cross product of two vectors.

func From

func From(other generic.T) T

From copies a T from a generic.T implementation.

func Interpolate

func Interpolate(a, b *T, t float64) T

Interpolate interpolates between a and b at t (0,1).

func Max

func Max(a, b *T) T

Max returns the component wise maximum of two vectors.

func Min

func Min(a, b *T) T

Min returns the component wise minimum of two vectors.

func Mul

func Mul(a, b *T) T

Mul returns the component wise product of two vectors.

func Parse

func Parse(s string) (r T, err error)

Parse parses T from a string. See also String()

func Sub

func Sub(a, b *T) T

Sub returns the difference of two vectors.

func (*T) Abs

func (vec *T) Abs() *T

Abs sets every component of the vector to its absolute value.

func (*T) Absed

func (vec *T) Absed() T

Absed returns a copy of the vector containing the absolute values.

func (*T) Add

func (vec *T) Add(v *T) *T

Add adds another vector to vec.

func (*T) Clamp

func (vec *T) Clamp(min, max *T) *T

Clamp clamps the vector's components to be in the range of min to max.

func (*T) Clamp01

func (vec *T) Clamp01() *T

Clamp01 clamps the vector's components to be in the range of 0 to 1.

func (*T) Clamped

func (vec *T) Clamped(min, max *T) T

Clamped returns a copy of the vector with the components clamped to be in the range of min to max.

func (*T) Clamped01

func (vec *T) Clamped01() T

Clamped01 returns a copy of the vector with the components clamped to be in the range of 0 to 1.

func (*T) Cols

func (vec *T) Cols() int

Cols returns the number of columns of the vector.

func (*T) Get

func (vec *T) Get(col, row int) float64

Get returns one element of the vector.

func (*T) Invert

func (vec *T) Invert() *T

Invert inverts the vector.

func (*T) Inverted

func (vec *T) Inverted() T

Inverted returns an inverted copy of the vector.

func (*T) IsZero

func (vec *T) IsZero() bool

IsZero checks if all elements of the vector are zero.

func (*T) Length

func (vec *T) Length() float64

Length returns the length of the vector. See also LengthSqr and Normalize.

func (*T) LengthSqr

func (vec *T) LengthSqr() float64

LengthSqr returns the squared length of the vector. See also Length and Normalize.

func (*T) Mul

func (vec *T) Mul(v *T) *T

Mul multiplies the components of the vector with the respective components of v.

func (*T) Normal

func (vec *T) Normal() T

Normal returns an orthogonal vector.

func (*T) Normalize

func (vec *T) Normalize() *T

Normalize normalizes the vector to unit length.

func (*T) Normalized

func (vec *T) Normalized() T

Normalized returns a unit length normalized copy of the vector.

func (*T) Rows

func (vec *T) Rows() int

Rows returns the number of rows of the vector.

func (*T) Scale

func (vec *T) Scale(f float64) *T

Scale multiplies all element of the vector by f and returns vec.

func (*T) Scaled

func (vec *T) Scaled(f float64) T

Scaled returns a copy of vec with all elements multiplies by f.

func (*T) Size

func (vec *T) Size() int

Size returns the number elements of the vector.

func (*T) Slice

func (vec *T) Slice() []float64

Slice returns the elements of the vector as slice.

func (*T) String

func (vec *T) String() string

String formats T as string. See also Parse().

func (*T) Sub

func (vec *T) Sub(v *T) *T

Sub subtracts another vector from vec.