mat32

package
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Published: Mar 3, 2020 License: BSD-3-Clause Imports: 12 Imported by: 0

Documentation

Overview

mat32 is our version of the G3N math32 32-bit, 3D rendering-based math library.

Initially copied from G3N: github.com/g3n/engine/math32 Copyright 2016 The G3N Authors. All rights reserved. Use of this source code is governed by a BSD-style license that can be found in the LICENSE file.

A major modification from the G3N version is to use value-based logic instead of pointer-based self-modification in the Vector classes, As used in e.g., go-gl/mathgl (which uses slice-based vectors instead of the more intuitive and likely more efficient struct-based ones here).

The pointer-based approach was retained for the Matrix classes, which are larger and that is likely more performant.

Many names were shortened, consistent with more ideomatic Go naming. and again with the go-gl/mathgl library

Index

Constants

View Source
const DegToRadFactor = math.Pi / 180
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const Pi = math.Pi
View Source
const RadToDegFactor = 180.0 / math.Pi

Variables

View Source
var (
	Vec2Zero = Vec2{0, 0}
	Vec2X    = Vec2{1, 0}
	Vec2Y    = Vec2{0, 1}
)
View Source
var (
	Vec3Zero = Vec3{0, 0, 0}
	Vec3X    = Vec3{1, 0, 0}
	Vec3Y    = Vec3{0, 1, 0}
	Vec3Z    = Vec3{0, 0, 1}
)
View Source
var (
	Vec4Zero = Vec4{0, 0, 0, 0}
	Vec4X    = Vec4{1, 0, 0, 0}
	Vec4Y    = Vec4{0, 1, 0, 0}
	Vec4Z    = Vec4{0, 0, 1, 0}
	Vec4W    = Vec4{0, 0, 0, 1}
)
View Source
var Infinity = float32(math.Inf(1))
View Source
var KiT_Dims = kit.Enums.AddEnum(DimsN, kit.NotBitFlag, nil)

Functions

func Abs

func Abs(v float32) float32

func Acos

func Acos(v float32) float32

func Asin

func Asin(v float32) float32

func Atan

func Atan(v float32) float32

func Atan2

func Atan2(y, x float32) float32

func Ceil

func Ceil(v float32) float32

func Clamp

func Clamp(x, a, b float32) float32

Clamp clamps x to the provided closed interval [a, b]

func ClampInt

func ClampInt(x, a, b int) int

ClampInt clamps x to the provided closed interval [a, b]

func ContainsPoint

func ContainsPoint(point, a, b, c Vec3) bool

ContainsPoint returns whether a triangle contains a point.

func CopyFloat32s

func CopyFloat32s(trg *[]float32, src []float32)

CopyFloat32s copies a []float32 slice from src into target

func CopyFloat64s

func CopyFloat64s(trg *[]float64, src []float64)

CopyFloat64s copies a []float64 slice from src into target

func Cos

func Cos(v float32) float32

func DegToRad

func DegToRad(degrees float32) float32

DegToRad converts a number from degrees to radians

func Floor

func Floor(v float32) float32

func FromFixed added in v0.9.11

func FromFixed(x fixed.Int26_6) float32

FromFixed converts a fixed.Int26_6 to a float32

func Inf

func Inf(sign int) float32

func IntMultiple added in v0.9.11

func IntMultiple(val, mod float32) float32

IntMultiple returns the interger multiple of mod closest to given value: int(Round(val / mod)) * mod

func IntMultiple64 added in v0.9.11

func IntMultiple64(val, mod float64) float64

IntMultiple64 returns the interger multiple of mod closest to given value: int(Round(val / mod)) * mod

func IsNaN

func IsNaN(v float32) bool

func Max

func Max(a, b float32) float32

func Max32i

func Max32i(a, b int32) int32

Max32i returns the max of the two int32 numbers.

func Min

func Min(a, b float32) float32

func Min32i

func Min32i(a, b int32) int32

Min32i returns the min of the two int32 numbers.

func MinPos added in v0.9.11

func MinPos(a, b float32) float32

MinPos returns the minimum of the two values, excluding any that are <= 0

func Mod

func Mod(a, b float32) float32

func NaN

func NaN() float32

func ParseAngle32 added in v0.9.11

func ParseAngle32(pstr string) (float32, error)

ParseAngle32 returns radians angle from string that can specify units (deg, grad, rad) -- deg is assumed if not specified

func ParseFloat32 added in v0.9.11

func ParseFloat32(pstr string) (float32, error)

ParseFloat32 logs any strconv.ParseFloat errors

func PointsCheckN added in v0.9.11

func PointsCheckN(pts []float32, n int, errmsg string) error

PointsCheckN checks the number of points read and emits an error if not equal to n

func Pow

func Pow(a, b float32) float32

func RadToDeg

func RadToDeg(radians float32) float32

RadToDeg converts a number from radians to degrees

func ReadPoints added in v0.9.11

func ReadPoints(pstr string) []float32

ReadPoints reads a set of floating point values from a SVG format number string -- returns a slice or nil if there was an error

func RectFromPosSizeMax added in v0.9.11

func RectFromPosSizeMax(pos, sz Vec2) image.Rectangle

RectFromPosSizeMax returns an image.Rectangle from max dims of pos, size (floor on pos, ceil on size)

func RectFromPosSizeMin added in v0.9.11

func RectFromPosSizeMin(pos, sz Vec2) image.Rectangle

RectFromPosSizeMin returns an image.Rectangle from min dims of pos, size (ceil on pos, floor on size)

func Round

func Round(v float32) float32

func SetMax added in v0.9.11

func SetMax(a *float32, b float32)

SetMax sets a to Max(a,b)

func SetMin added in v0.9.11

func SetMin(a *float32, b float32)

SetMin sets a to Min(a,b)

func Sign added in v0.9.11

func Sign(v float32) float32

func Sin

func Sin(v float32) float32

func Sqrt

func Sqrt(v float32) float32

func Tan

func Tan(v float32) float32

func ToFixed added in v0.9.11

func ToFixed(x float32) fixed.Int26_6

ToFixed converts a float32 value to a fixed.Int26_6

func ToFixedPoint added in v0.9.11

func ToFixedPoint(x, y float32) fixed.Point26_6

ToFixedPoint converts float32 x,y values to a fixed.Point26_6

func Truncate added in v0.9.11

func Truncate(val float32, prec int) float32

Truncate truncates a floating point number to given level of precision -- slow.. uses string conversion

func Truncate64 added in v0.9.11

func Truncate64(val float64, prec int) float64

Truncate64 truncates a floating point number to given level of precision -- slow.. uses string conversion

Types

type ArrayF32

type ArrayF32 []float32

ArrayF32 is a slice of float32 with additional convenience methods

func NewArrayF32

func NewArrayF32(size, capacity int) ArrayF32

NewArrayF32 creates a returns a new array of floats with the specified initial size and capacity

func (*ArrayF32) Append

func (a *ArrayF32) Append(v ...float32)

Append appends any number of values to the array

func (*ArrayF32) AppendVec2

func (a *ArrayF32) AppendVec2(v ...Vec2)

AppendVec2 appends any number of Vec2 to the array

func (*ArrayF32) AppendVec3

func (a *ArrayF32) AppendVec3(v ...Vec3)

AppendVec3 appends any number of Vec3 to the array

func (*ArrayF32) AppendVec4

func (a *ArrayF32) AppendVec4(v ...Vec4)

AppendVec4 appends any number of Vec4 to the array

func (*ArrayF32) Bytes

func (a *ArrayF32) Bytes() int

Bytes returns the size of the array in bytes

func (*ArrayF32) CopyFrom

func (a *ArrayF32) CopyFrom(src ArrayF32)

func (*ArrayF32) Extend

func (a *ArrayF32) Extend(addLen int)

Extend appends given number of new float elements to end of existing array

func (ArrayF32) GetMat4

func (a ArrayF32) GetMat4(pos int, m *Mat4)

GetMat4 stores in the specified Mat4 the values from the array starting at the specified pos.

func (ArrayF32) GetVec2

func (a ArrayF32) GetVec2(pos int, v *Vec2)

GetVec2 stores in the specified Vec2 the values from the array starting at the specified pos.

func (ArrayF32) GetVec3

func (a ArrayF32) GetVec3(pos int, v *Vec3)

GetVec3 stores in the specified Vec3 the values from the array starting at the specified pos.

func (ArrayF32) GetVec4

func (a ArrayF32) GetVec4(pos int, v *Vec4)

GetVec4 stores in the specified Vec4 the values from the array starting at the specified pos.

func (*ArrayF32) Len

func (a *ArrayF32) Len() int

Len returns the number of float32 elements in the array It is equivalent to Size()

func (ArrayF32) Set

func (a ArrayF32) Set(pos int, v ...float32)

Set sets the values of the array starting at the specified pos from the specified values

func (ArrayF32) SetVec2

func (a ArrayF32) SetVec2(pos int, v Vec2)

SetVec2 sets the values of the array at the specified pos from the XY values of the specified Vec2

func (ArrayF32) SetVec3

func (a ArrayF32) SetVec3(pos int, v Vec3)

SetVec3 sets the values of the array at the specified pos from the XYZ values of the specified Vec3

func (ArrayF32) SetVec4

func (a ArrayF32) SetVec4(pos int, v Vec4)

SetVec4 sets the values of the array at the specified pos from the XYZ values of the specified Vec4

func (*ArrayF32) Size

func (a *ArrayF32) Size() int

Size returns the number of float32 elements in the array

type ArrayU32

type ArrayU32 []uint32

ArrayU32 is a slice of uint32 with additional convenience methods

func NewArrayU32

func NewArrayU32(size, capacity int) ArrayU32

NewArrayU32 creates a returns a new array of uint32 with the specified initial size and capacity

func (*ArrayU32) Append

func (a *ArrayU32) Append(v ...uint32)

Append appends n elements to the array updating the slice if necessary

func (*ArrayU32) Bytes

func (a *ArrayU32) Bytes() int

Bytes returns the size of the array in bytes

func (*ArrayU32) Extend

func (a *ArrayU32) Extend(addLen int)

Extend appends given number of new elements to end of existing array

func (*ArrayU32) Len

func (a *ArrayU32) Len() int

Len returns the number of float32 elements in the array

func (ArrayU32) Set

func (a ArrayU32) Set(pos int, v ...uint32)

Set sets the values of the array starting at the specified pos from the specified values

func (*ArrayU32) Size

func (a *ArrayU32) Size() int

Size returns the number of float32 elements in the array

type Box2

type Box2 struct {
	Min Vec2
	Max Vec2
}

Box2 represents a 2D bounding box defined by two points: the point with minimum coordinates and the point with maximum coordinates.

func NewBox2

func NewBox2(min, max Vec2) Box2

NewBox2 creates and returns a new Box2 defined by its minimum and maximum coordinates.

func NewEmptyBox2

func NewEmptyBox2() Box2

NewEmptyBox2 creates and returns a new Box2 with empty min / max

func (*Box2) Center

func (b *Box2) Center() Vec2

Center calculates the center point of this bounding box.

func (*Box2) ClampPoint

func (b *Box2) ClampPoint(point Vec2) Vec2

ClampPoint calculates a new point which is the specified point clamped inside this box.

func (*Box2) ContainsBox

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

ContainsBox returns if this bounding box contains other box.

func (*Box2) ContainsPoint

func (b *Box2) ContainsPoint(point Vec2) bool

ContainsPoint returns if this bounding box contains the specified point.

func (*Box2) DistToPoint

func (b *Box2) DistToPoint(point Vec2) float32

DistToPoint returns the distance from this box to the specified point.

func (*Box2) ExpandByPoint

func (b *Box2) ExpandByPoint(point Vec2)

ExpandByPoint may expand this bounding box to include the specified point.

func (*Box2) ExpandByScalar

func (b *Box2) ExpandByScalar(scalar float32)

ExpandByScalar expands this bounding box by the specified scalar.

func (*Box2) ExpandByVector

func (b *Box2) ExpandByVector(vector Vec2)

ExpandByVector expands this bounding box by the specified vector.

func (*Box2) Intersect

func (b *Box2) Intersect(other Box2) Box2

Intersect returns the intersection with other box.

func (*Box2) IsEmpty

func (b *Box2) IsEmpty() bool

IsEmpty returns if this bounding box is empty (max < min on any coord).

func (*Box2) IsEqual

func (b *Box2) IsEqual(other Box2) bool

IsEqual returns if this box is equal to other.

func (*Box2) IsIntersectionBox

func (b *Box2) IsIntersectionBox(other Box2) bool

IsIntersectionBox returns if other box intersects this one.

func (*Box2) Set

func (b *Box2) Set(min, max *Vec2)

Set sets this bounding box minimum and maximum coordinates. If either min or max are nil, then corresponding values are set to +/- Infinity.

func (*Box2) SetEmpty

func (b *Box2) SetEmpty()

SetEmpty set this bounding box to empty (min / max +/- Infinity)

func (*Box2) SetFromCenterAndSize

func (b *Box2) SetFromCenterAndSize(center, size Vec2)

SetFromCenterAndSize set this bounding box from a center point and size. Size is a vector from the minimum point to the maximum point.

func (*Box2) SetFromPoints

func (b *Box2) SetFromPoints(points []Vec2)

SetFromPoints set this bounding box from the specified array of points.

func (*Box2) Size

func (b *Box2) Size() Vec2

Size calculates the size of this bounding box: the vector from its minimum point to its maximum point.

func (*Box2) Translate

func (b *Box2) Translate(offset Vec2) Box2

Translate returns translated position of this box by offset.

func (*Box2) Union

func (b *Box2) Union(other Box2) Box2

Union returns the union with other box.

type Box3

type Box3 struct {
	Min Vec3
	Max Vec3
}

Box3 represents a 3D bounding box defined by two points: the point with minimum coordinates and the point with maximum coordinates.

func NewBox3

func NewBox3(min, max Vec3) Box3

NewBox3 creates and returns a new Box3 defined by its minimum and maximum coordinates.

func NewEmptyBox3

func NewEmptyBox3() Box3

NewEmptyBox3 creates and returns a new Box3 with empty min / max

func (*Box3) Center

func (b *Box3) Center() Vec3

Center returns the center of the bounding box.

func (*Box3) ClampPoint

func (b *Box3) ClampPoint(point Vec3) Vec3

ClampPoint returns a new point which is the specified point clamped inside this box.

func (*Box3) ContainsBox

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

ContainsBox returns if this bounding box contains other box.

func (*Box3) ContainsPoint

func (b *Box3) ContainsPoint(point Vec3) bool

ContainsPoint returns if this bounding box contains the specified point.

func (*Box3) DistToPoint

func (b *Box3) DistToPoint(point Vec3) float32

DistToPoint returns the distance from this box to the specified point.

func (*Box3) Expand added in v0.9.11

func (b *Box3) Expand(box Box3)

Expand may expand this bounding box to include the specified box

func (*Box3) ExpandByPoint

func (b *Box3) ExpandByPoint(point Vec3)

ExpandByPoint may expand this bounding box to include the specified point.

func (*Box3) ExpandByPoints added in v0.9.11

func (b *Box3) ExpandByPoints(points []Vec3)

ExpandByPoints may expand this bounding box from the specified array of points.

func (*Box3) ExpandByScalar

func (b *Box3) ExpandByScalar(scalar float32)

ExpandByScalar expands this bounding box by the specified scalar subtracting from min and adding to max.

func (*Box3) ExpandByVector

func (b *Box3) ExpandByVector(vector Vec3)

ExpandByVector expands this bounding box by the specified vector subtracting from min and adding to max.

func (*Box3) GetBoundingSphere

func (b *Box3) GetBoundingSphere() Sphere

GetBoundingSphere returns a bounding sphere to this bounding box.

func (*Box3) Intersect

func (b *Box3) Intersect(other Box3) Box3

Intersect returns the intersection with other box.

func (*Box3) IsEmpty

func (b *Box3) IsEmpty() bool

IsEmpty returns true if this bounding box is empty (max < min on any coord).

func (*Box3) IsEqual

func (b *Box3) IsEqual(other Box3) bool

IsEqual returns if this box is equal to other

func (*Box3) IsIntersectionBox

func (b *Box3) IsIntersectionBox(other Box3) bool

IsIntersectionBox returns if other box intersects this one.

func (*Box3) MVProjToNDC added in v0.9.9

func (b *Box3) MVProjToNDC(m *Mat4) Box3

MVProjToNDC projects bounding box through given MVP model-view-projection Mat4 with perspective divide to return normalized display coordinates (NDC).

func (*Box3) MulMat4

func (b *Box3) MulMat4(m *Mat4) Box3

MulMat4 multiplies the specified matrix to the vertices of this bounding box and computes the resulting spanning Box3 of the transformed points

func (*Box3) MulQuat added in v0.9.9

func (b *Box3) MulQuat(q Quat) Box3

MulQuat multiplies the specified quaternion to the vertices of this bounding box and computes the resulting spanning Box3 of the transformed points

func (*Box3) Set

func (b *Box3) Set(min, max *Vec3)

Set sets this bounding box minimum and maximum coordinates. If either min or max are nil, then corresponding values are set to +/- Infinity.

func (*Box3) SetEmpty

func (b *Box3) SetEmpty()

SetEmpty set this bounding box to empty (min / max +/- Infinity)

func (*Box3) SetFromCenterAndSize

func (b *Box3) SetFromCenterAndSize(center, size Vec3)

SetFromCenterAndSize sets this bounding box from a center point and size. Size is a vector from the minimum point to the maximum point.

func (*Box3) SetFromPoints

func (b *Box3) SetFromPoints(points []Vec3)

SetFromPoints sets this bounding box from the specified array of points.

func (*Box3) Size

func (b *Box3) Size() Vec3

Size calculates the size of this bounding box: the vector from its minimum point to its maximum point.

func (*Box3) Translate

func (b *Box3) Translate(offset Vec3) Box3

Translate returns translated position of this box by offset.

func (*Box3) Union

func (b *Box3) Union(other Box3) Box3

Union returns the union with other box.

type Dims

type Dims int

Dims is a list of vector dimension (component) names

const (
	X Dims = iota
	Y
	Z
	W
	DimsN
)

func OtherDim added in v0.9.11

func OtherDim(d Dims) Dims

OtherDim returns the other dimension for 2D X,Y

func (*Dims) FromString

func (i *Dims) FromString(s string) error

func (Dims) String

func (i Dims) String() string

type Frustum

type Frustum struct {
	Planes [6]Plane
}

Frustum represents a frustum

func NewFrustum

func NewFrustum(p0, p1, p2, p3, p4, p5 *Plane) *Frustum

NewFrustum returns a pointer to a new Frustum object made of 6 explicit planes

func NewFrustumFromMatrix

func NewFrustumFromMatrix(m *Mat4) *Frustum

NewFrustumFromMatrix creates and returns a Frustum based on the provided matrix

func (*Frustum) ContainsPoint

func (f *Frustum) ContainsPoint(point Vec3) bool

ContainsPoint determines whether the frustum contains the specified point

func (*Frustum) IntersectsBox

func (f *Frustum) IntersectsBox(box Box3) bool

IntersectsBox determines whether the specified box is intersecting the frustum

func (*Frustum) IntersectsSphere

func (f *Frustum) IntersectsSphere(sphere Sphere) bool

IntersectsSphere determines whether the specified sphere is intersecting the frustum

func (*Frustum) Set

func (f *Frustum) Set(p0, p1, p2, p3, p4, p5 *Plane)

Set sets the frustum's planes

func (*Frustum) SetFromMatrix

func (f *Frustum) SetFromMatrix(m *Mat4)

SetFromMatrix sets the frustum's planes based on the specified Mat4

type Line3

type Line3 struct {
	Start Vec3
	End   Vec3
}

Line3 represents a 3D line segment defined by a start and an end point.

func NewLine3

func NewLine3(start, end Vec3) Line3

NewLine3 creates and returns a new Line3 with the specified start and end points.

func (*Line3) Center

func (l *Line3) Center() Vec3

Center calculates this line segment center point.

func (*Line3) Delta

func (l *Line3) Delta() Vec3

Delta calculates the vector from the start to end point of this line segment.

func (*Line3) Dist

func (l *Line3) Dist() float32

Dist returns the distance from the start point to the end point.

func (*Line3) DistSq

func (l *Line3) DistSq() float32

DistSq returns the square of the distance from the start point to the end point.

func (*Line3) IsEqual

func (l *Line3) IsEqual(other Line3) bool

IsEqual returns if this line segement is equal to other.

func (*Line3) MulMat4

func (l *Line3) MulMat4(mat *Mat4) Line3

MulMat4 returns specified matrix multiplied to this line segment start and end points.

func (*Line3) Set

func (l *Line3) Set(start, end Vec3)

Set sets this line segment start and end points.

type Mat2 added in v0.9.11

type Mat2 struct {
	XX, YX, XY, YY, X0, Y0 float32
}

func Identity2D added in v0.9.11

func Identity2D() Mat2

func Rotate2D added in v0.9.11

func Rotate2D(angle float32) Mat2

func Scale2D added in v0.9.11

func Scale2D(x, y float32) Mat2

func Shear2D added in v0.9.11

func Shear2D(x, y float32) Mat2

func Skew2D added in v0.9.11

func Skew2D(x, y float32) Mat2

func Translate2D added in v0.9.11

func Translate2D(x, y float32) Mat2

func (Mat2) ExtractRot added in v0.9.11

func (a Mat2) ExtractRot() float32

ExtractRot extracts the rotation component from a given matrix

func (Mat2) ExtractScale added in v0.9.11

func (a Mat2) ExtractScale() (scx, scy float32)

ExtractXYScale extracts the X and Y scale factors after undoing any rotation present -- i.e., in the original X, Y coordinates

func (Mat2) Mul added in v0.9.11

func (a Mat2) Mul(b Mat2) Mat2

func (Mat2) MulVec2AsPt added in v0.9.11

func (a Mat2) MulVec2AsPt(v Vec2) Vec2

MulVec2AsPt multiplies the Vec2 as a point, including adding translations.

func (Mat2) MulVec2AsVec added in v0.9.11

func (a Mat2) MulVec2AsVec(v Vec2) Vec2

MulVec2AsVec multiplies the Vec2 as a vector -- does not add translations. This is for directional vectors and not points.

func (Mat2) Rotate added in v0.9.11

func (a Mat2) Rotate(angle float32) Mat2

func (Mat2) Scale added in v0.9.11

func (a Mat2) Scale(x, y float32) Mat2

func (*Mat2) SetString added in v0.9.11

func (a *Mat2) SetString(str string) error

SetString processes the standard SVG-style transform strings

func (Mat2) Shear added in v0.9.11

func (a Mat2) Shear(x, y float32) Mat2

func (Mat2) Skew added in v0.9.11

func (a Mat2) Skew(x, y float32) Mat2

func (Mat2) Translate added in v0.9.11

func (a Mat2) Translate(x, y float32) Mat2

type Mat3

type Mat3 [9]float32

Mat3 is 3x3 matrix organized internally as column matrix

func NewMat3

func NewMat3() *Mat3

NewMat3 creates and returns a pointer to a new Mat3 initialized as the identity matrix.

func (*Mat3) Determinant

func (m *Mat3) Determinant() float32

Determinant calculates and returns the determinant of this matrix.

func (*Mat3) FromArray

func (m *Mat3) FromArray(array []float32, offset int)

FromArray sets this matrix array starting at offset.

func (*Mat3) Inverse

func (m *Mat3) Inverse() (*Mat3, error)

Inverse returns the inverse of this matrix. If the matrix cannot be inverted returns error and sets this matrix to the identity matrix.

func (*Mat3) Mul

func (m *Mat3) Mul(other *Mat3) *Mat3

Mul returns this matrix times other matrix (this matrix is unchanged)

func (*Mat3) MulMatrices

func (m *Mat3) MulMatrices(a, b *Mat3)

MulMatrices sets ths matrix as matrix multiplication a by b (i.e., b*a).

func (*Mat3) MulScalar

func (m *Mat3) MulScalar(s float32)

MulScalar returns each of this matrix's components multiplied by the specified scalar.

func (*Mat3) MulVec3Array

func (m *Mat3) MulVec3Array(array []float32, start, count int)

MulVec3Array multiplies count vectors (i.e., 3 sequential array values per each increment in count) in the array starting at start index by this matrix.

func (*Mat3) ScaleCols

func (m *Mat3) ScaleCols(v Vec3) *Mat3

ScaleCols returns matrix with columns multiplied by the vector components. This can be used when multiplying this matrix by a diagonal matrix if we store the diagonal components as a vector.

func (*Mat3) Set

func (m *Mat3) Set(n11, n12, n13, n21, n22, n23, n31, n32, n33 float32)

Set sets all the elements of the matrix row by row starting at row1, column1, row1, column2, row1, column3 and so forth.

func (*Mat3) SetFromMat4

func (m *Mat3) SetFromMat4(src *Mat4)

SetFromMat4 sets the matrix elements based on a Mat4.

func (*Mat3) SetIdentity

func (m *Mat3) SetIdentity()

SetIdentity sets this matrix as the identity matrix.

func (*Mat3) SetInverse

func (m *Mat3) SetInverse(src *Mat3) error

SetInverse sets this matrix to the inverse of the src matrix. If the src matrix cannot be inverted returns error and sets this matrix to the identity matrix.

func (*Mat3) SetMul

func (m *Mat3) SetMul(other *Mat3)

SetMul sets this matrix to this matrix * other

func (*Mat3) SetMulScalar

func (m *Mat3) SetMulScalar(s float32)

SetMulScalar multiplies each of this matrix's components by the specified scalar.

func (*Mat3) SetNormalMatrix

func (m *Mat3) SetNormalMatrix(src *Mat4) error

SetNormalMatrix set this matrix to the matrix that can transform the normal vectors from the src matrix which is used transform the vertices (e.g., a ModelView matrix). If the src matrix cannot be inverted returns error.

func (*Mat3) SetRotationFromQuat

func (m *Mat3) SetRotationFromQuat(q Quat)

SetRotationFromQuat sets this matrix as a rotation matrix from the specified quaternion.

func (*Mat3) SetScaleCols

func (m *Mat3) SetScaleCols(v Vec3)

SetScaleCols multiplies the matrix columns by the vector components. This can be used when multiplying this matrix by a diagonal matrix if we store the diagonal components as a vector.

func (*Mat3) SetTranspose

func (m *Mat3) SetTranspose()

SetTranspose transposes this matrix.

func (*Mat3) SetZero

func (m *Mat3) SetZero()

SetZero sets this matrix as the zero matrix.

func (*Mat3) ToArray

func (m *Mat3) ToArray(array []float32, offset int)

ToArray copies this matrix to array starting at offset.

func (*Mat3) Transpose

func (m *Mat3) Transpose() *Mat3

Transpose returns the transpose of this matrix.

type Mat4

type Mat4 [16]float32

Mat4 is 4x4 matrix organized internally as column matrix.

func NewLookAt

func NewLookAt(eye, target, up Vec3) *Mat4

NewLookAt returns Mat4 matrix as view transform matrix with origin at eye, looking at target and using the up vector.

func NewMat4

func NewMat4() *Mat4

NewMat4 creates and returns a pointer to a new Mat4 initialized as the identity matrix.

func (*Mat4) CopyPos

func (m *Mat4) CopyPos(src *Mat4)

CopyPos copies the position elements of the src matrix into this one.

func (*Mat4) Decompose

func (m *Mat4) Decompose() (pos Vec3, quat Quat, scale Vec3)

Decompose updates the position vector, quaternion and scale from this transformation matrix.

func (*Mat4) Determinant

func (m *Mat4) Determinant() float32

Determinant calculates and returns the determinat of this matrix.

func (*Mat4) ExtractBasis

func (m *Mat4) ExtractBasis() (xAxis, yAxis, zAxis Vec3)

ExtractBasis returns the x,y,z basis vectors of this matrix.

func (*Mat4) ExtractRotation

func (m *Mat4) ExtractRotation(src *Mat4)

ExtractRotation sets this matrix as rotation matrix from the src transformation matrix.

func (*Mat4) FromArray

func (m *Mat4) FromArray(array []float32, offset int)

FromArray set this matrix elements from the array starting at offset.

func (*Mat4) GetMaxScaleOnAxis

func (m *Mat4) GetMaxScaleOnAxis() float32

GetMaxScaleOnAxis returns the maximum scale value of the 3 axes.

func (*Mat4) Inverse

func (m *Mat4) Inverse() (*Mat4, error)

Inverse returns the inverse of this matrix. If the matrix cannot be inverted returns error and sets this matrix to the identity matrix.

func (*Mat4) LookAt

func (m *Mat4) LookAt(eye, target, up Vec3)

LookAt sets this matrix as view transform matrix with origin at eye, looking at target and using the up vector.

func (*Mat4) Mul

func (m *Mat4) Mul(other *Mat4) *Mat4

Mul returns this matrix times other matrix (this matrix is unchanged)

func (*Mat4) MulMatrices

func (m *Mat4) MulMatrices(a, b *Mat4)

MulMatrices sets this matrix as matrix multiplication a by b (i.e. b*a).

func (*Mat4) MulScalar

func (m *Mat4) MulScalar(s float32)

SetMulScalar multiplies each element of this matrix by the specified scalar.

func (*Mat4) MulVec3Array

func (m *Mat4) MulVec3Array(array []float32, start, count int)

MulVec3Array multiplies count vectors (i.e., 3 sequential array values per each increment in count) in the array starting at start index by this matrix.

func (*Mat4) Pos added in v0.9.9

func (m *Mat4) Pos() Vec3

Pos returns the position component of the matrix

func (*Mat4) ScaleCols

func (m *Mat4) ScaleCols(v Vec3) *Mat4

ScaleCols returns matrix with first column of this matrix multiplied by the vector X component, the second column by the vector Y component and the third column by the vector Z component. The matrix fourth column is unchanged.

func (*Mat4) Set

func (m *Mat4) Set(n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44 float32)

Set sets all the elements of this matrix row by row starting at row1, column1, row1, column2, row1, column3 and so forth.

func (*Mat4) SetBasis

func (m *Mat4) SetBasis(xAxis, yAxis, zAxis Vec3)

SetBasis sets this matrix basis vectors from the specified vectors.

func (*Mat4) SetFromMat3

func (m *Mat4) SetFromMat3(src *Mat3)

SetFromMat3 sets the matrix elements based on a Mat3, filling in 0's for missing elements

func (*Mat4) SetFrustum

func (m *Mat4) SetFrustum(left, right, bottom, top, near, far float32)

SetFrustum sets this matrix to a projection frustum matrix bounded by the specified planes.

func (*Mat4) SetIdentity

func (m *Mat4) SetIdentity()

SetIdentity sets this matrix as the identity matrix.

func (*Mat4) SetInverse

func (m *Mat4) SetInverse(src *Mat4) error

SetInverse sets this matrix to the inverse of the src matrix. If the src matrix cannot be inverted returns error and sets this matrix to the identity matrix.

func (*Mat4) SetMul

func (m *Mat4) SetMul(other *Mat4)

SetMul sets this matrix to this matrix times other

func (*Mat4) SetOrthographic

func (m *Mat4) SetOrthographic(width, height, near, far float32)

SetOrthographic sets this matrix to an orthographic projection matrix.

func (*Mat4) SetPerspective

func (m *Mat4) SetPerspective(fov, aspect, near, far float32)

SetPerspective sets this matrix to a perspective projection matrix with the specified field of view in degrees, aspect ratio (width/height) and near and far planes.

func (*Mat4) SetPos

func (m *Mat4) SetPos(v Vec3)

SetPos sets this transformation matrix position fields from the specified vector v.

func (*Mat4) SetRotationAxis

func (m *Mat4) SetRotationAxis(axis *Vec3, angle float32)

SetRotationAxis sets this matrix to a rotation matrix of the specified angle around the specified axis.

func (*Mat4) SetRotationFromEuler

func (m *Mat4) SetRotationFromEuler(euler Vec3)

SetRotationFromEuler set this a matrix as a rotation matrix from the specified euler angles.

func (*Mat4) SetRotationFromQuat

func (m *Mat4) SetRotationFromQuat(q Quat)

SetRotationFromQuat sets this matrix as a rotation matrix from the specified quaternion.

func (*Mat4) SetRotationX

func (m *Mat4) SetRotationX(theta float32)

SetRotationX sets this matrix to a rotation matrix of angle theta around the X axis.

func (*Mat4) SetRotationY

func (m *Mat4) SetRotationY(theta float32)

SetRotationY sets this matrix to a rotation matrix of angle theta around the Y axis.

func (*Mat4) SetRotationZ

func (m *Mat4) SetRotationZ(theta float32)

SetRotationZ sets this matrix to a rotation matrix of angle theta around the Z axis.

func (*Mat4) SetScale

func (m *Mat4) SetScale(x, y, z float32)

SetScale sets this matrix to a scale transformation matrix using the specified x, y and z values.

func (*Mat4) SetScaleCols

func (m *Mat4) SetScaleCols(v Vec3)

SetScaleCols multiplies the first column of this matrix by the vector X component, the second column by the vector Y component and the third column by the vector Z component. The matrix fourth column is unchanged.

func (*Mat4) SetTransform

func (m *Mat4) SetTransform(pos Vec3, quat Quat, scale Vec3)

SetTransform sets this matrix to a transformation matrix for the specified position, rotation specified by the quaternion and scale.

func (*Mat4) SetTranslation

func (m *Mat4) SetTranslation(x, y, z float32)

SetTranslation sets this matrix to a translation matrix from the specified x, y and z values.

func (*Mat4) SetTranspose

func (m *Mat4) SetTranspose()

SetTranspose transposes this matrix.

func (*Mat4) SetZero

func (m *Mat4) SetZero()

SetZero sets this matrix as the zero matrix.

func (*Mat4) ToArray

func (m *Mat4) ToArray(array []float32, offset int)

ToArray copies this matrix elements to array starting at offset.

func (*Mat4) Transpose

func (m *Mat4) Transpose() *Mat4

Transpose returns the transpose of this matrix.

type Plane

type Plane struct {
	Norm Vec3
	Off  float32
}

Plane represents a plane in 3D space by its normal vector and a constant offset. When the the normal vector is the unit vector the offset is the distance from the origin.

func NewPlane

func NewPlane(normal Vec3, offset float32) *Plane

NewPlane creates and returns a new plane from a normal vector and a offset.

func (*Plane) CoplanarPoint

func (p *Plane) CoplanarPoint() Vec3

CoplanarPoint returns a point in the plane that is the closest point from the origin.

func (*Plane) DistToPoint

func (p *Plane) DistToPoint(point Vec3) float32

DistToPoint returns the distance of this plane from point.

func (*Plane) DistToSphere

func (p *Plane) DistToSphere(sphere Sphere) float32

DistToSphere returns the distance of this place from the sphere.

func (*Plane) IntersectLine

func (p *Plane) IntersectLine(line Line3) (Vec3, bool)

IntersectLine calculates the point in the plane which intersets the specified line. Returns false if the line does not intersects the plane.

func (*Plane) IsEqual

func (p *Plane) IsEqual(other *Plane) bool

IsEqual returns if this plane is equal to other

func (*Plane) IsIntersectionLine

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

IsIntersectionLine returns the line intersects this plane.

func (*Plane) Negate

func (p *Plane) Negate()

Negate negates this plane normal.

func (*Plane) Normalize

func (p *Plane) Normalize()

Normalize normalizes this plane normal vector and adjusts the offset. Note: will lead to a divide by zero if the plane is invalid.

func (*Plane) Set

func (p *Plane) Set(normal Vec3, offset float32)

Set sets this plane normal vector and offset.

func (*Plane) SetDims

func (p *Plane) SetDims(x, y, z, w float32)

SetDims sets this plane normal vector dimensions and offset.

func (*Plane) SetFromCoplanarPoints

func (p *Plane) SetFromCoplanarPoints(a, b, c Vec3)

SetFromCoplanarPoints sets this plane from three coplanar points.

func (*Plane) SetFromNormalAndCoplanarPoint

func (p *Plane) SetFromNormalAndCoplanarPoint(normal Vec3, point Vec3)

SetFromNormalAndCoplanarPoint sets this plane from a normal vector and a point on the plane.

func (*Plane) SetTranslate

func (p *Plane) SetTranslate(offset Vec3)

SetTranslate translates this plane in the direction of its normal by offset.

type Quat

type Quat struct {
	X float32
	Y float32
	Z float32
	W float32
}

Quat is quaternion with X,Y,Z and W components.

func NewQuat

func NewQuat(x, y, z, w float32) Quat

NewQuat returns a new quaternion from the specified components.

func NewQuatAxisAngle

func NewQuatAxisAngle(axis Vec3, angle float32) Quat

NewQuatAxisAngle returns a new quaternion from given axis and angle rotation (radians).

func NewQuatEuler

func NewQuatEuler(euler Vec3) Quat

NewQuatEuler returns a new quaternion from given Euler angles.

func (*Quat) Conjugate

func (q *Quat) Conjugate() Quat

Conjugate returns the conjugate of this quaternion.

func (*Quat) Dot

func (q *Quat) Dot(other Quat) float32

Dot returns the dot products of this quaternion with other.

func (*Quat) FromArray

func (q *Quat) FromArray(array []float32, offset int)

FromArray sets this quaternion's components from array starting at offset.

func (*Quat) GenGoNew added in v0.9.9

func (q *Quat) GenGoNew() string

GenGoNew returns code to create new

func (*Quat) GenGoSet added in v0.9.9

func (q *Quat) GenGoSet(path string) string

GenGoSet returns code to set values in object at given path (var.member etc)

func (*Quat) Inverse

func (q *Quat) Inverse() Quat

Inverse returns the inverse of this quaternion.

func (*Quat) IsEqual

func (q *Quat) IsEqual(other Quat) bool

IsEqual returns if this quaternion is equal to other.

func (*Quat) IsIdentity

func (q *Quat) IsIdentity() bool

IsIdentity returns if this is an identity quaternion.

func (*Quat) IsNil

func (q *Quat) IsNil() bool

IsNil returns true if all values are 0 (uninitialized).

func (Quat) Length

func (q Quat) Length() float32

Length returns the length of this quaternion

func (Quat) LengthSq

func (q Quat) LengthSq() float32

LengthSq returns this quanternion's length squared

func (*Quat) Mul

func (q *Quat) Mul(other Quat) Quat

Mul returns returns multiplication of this quaternion with other

func (*Quat) MulQuats

func (q *Quat) MulQuats(a, b Quat)

MulQuats set this quaternion to the multiplication of a by b.

func (*Quat) Normalize

func (q *Quat) Normalize()

Normalize normalizes this quaternion.

func (*Quat) NormalizeFast

func (q *Quat) NormalizeFast()

NormalizeFast approximates normalizing this quaternion. Works best when the quaternion is already almost-normalized.

func (*Quat) Set

func (q *Quat) Set(x, y, z, w float32)

Set sets this quaternion's components.

func (*Quat) SetConjugate

func (q *Quat) SetConjugate()

SetConjugate sets this quaternion to its conjugate.

func (*Quat) SetFromAxisAngle

func (q *Quat) SetFromAxisAngle(axis Vec3, angle float32)

SetFromAxisAngle sets this quaternion with the rotation specified by the given axis and angle.

func (*Quat) SetFromEuler

func (q *Quat) SetFromEuler(euler Vec3)

SetFromEuler sets this quaternion from the specified vector with Euler angles for each axis. It is assumed that the Euler angles are in XYZ order.

func (*Quat) SetFromRotationMatrix

func (q *Quat) SetFromRotationMatrix(m *Mat4)

SetFromRotationMatrix sets this quaternion from the specified rotation matrix.

func (*Quat) SetFromUnitVectors

func (q *Quat) SetFromUnitVectors(vFrom, vTo Vec3)

SetFromUnitVectors sets this quaternion to the rotation from vector vFrom to vTo. The vectors must be normalized.

func (*Quat) SetIdentity

func (q *Quat) SetIdentity()

SetIdentity sets this quanternion to the identity quaternion.

func (*Quat) SetInverse

func (q *Quat) SetInverse()

SetInverse sets this quaternion to its inverse.

func (*Quat) SetMul

func (q *Quat) SetMul(other Quat)

SetMul sets this quaternion to the multiplication of itself by other.

func (*Quat) Slerp

func (q *Quat) Slerp(other Quat, t float32)

Slerp sets this quaternion to another quaternion which is the spherically linear interpolation from this quaternion to other using t.

func (*Quat) ToArray

func (q *Quat) ToArray(array []float32, offset int)

ToArray copies this quaternions's components to array starting at offset.

func (*Quat) ToAxisAngle added in v0.9.9

func (q *Quat) ToAxisAngle() Vec4

ToAxisAngle returns the Vec4 holding axis and angle of this Quaternion

func (*Quat) ToEuler added in v0.9.9

func (q *Quat) ToEuler() Vec3

ToEuler returns a Vec3 with components as the Euler angles from the given quaternion.

type Ray

type Ray struct {
	Origin Vec3
	Dir    Vec3
}

Ray represents an oriented 3D line segment defined by an origin point and a direction vector.

func NewRay

func NewRay(origin, dir Vec3) *Ray

NewRay creates and returns a pointer to a Ray object with the specified origin and direction vectors. If a nil pointer is supplied for any of the parameters, the zero vector will be used.

func (*Ray) ApplyMat4

func (ray *Ray) ApplyMat4(mat4 *Mat4)

MulMat4 multiplies this ray origin and direction by the specified matrix4, basically transforming this ray coordinates.

func (*Ray) At

func (ray *Ray) At(t float32) Vec3

At calculates the point in the ray which is at the specified t distance from the origin along its direction.

func (*Ray) ClosestPointToPoint

func (ray *Ray) ClosestPointToPoint(point Vec3) Vec3

ClosestPointToPoint calculates the point in the ray which is closest to the specified point.

func (*Ray) DistSqToPoint

func (ray *Ray) DistSqToPoint(point Vec3) float32

DistSqToPoint returns the smallest squared distance from the ray direction vector to the specified point. If the ray was pointed directly at the point this distance would be 0.

func (*Ray) DistSqToSegment

func (ray *Ray) DistSqToSegment(v0, v1 Vec3, optPointOnRay, optPointOnSegment *Vec3) float32

DistSqToSegment returns the smallest squared distance from this ray to the line segment from v0 to v1. If optPointOnRay Vec3 is not nil, it is set with the coordinates of the point on the ray. if optPointOnSegment Vec3 is not nil, it is set with the coordinates of the point on the segment.

func (*Ray) DistToPlane

func (ray *Ray) DistToPlane(plane Plane) float32

DistToPlane returns the distance of this ray origin to its intersection point in the plane. If the ray does not intersects the plane, returns NaN.

func (*Ray) DistToPoint

func (ray *Ray) DistToPoint(point Vec3) float32

DistToPoint returns the smallest distance from the ray direction vector to the specified point.

func (*Ray) IntersectBox

func (ray *Ray) IntersectBox(box Box3) (Vec3, bool)

IntersectBox calculates the point which is the intersection of this ray with the specified box. If no intersection is found false is returned.

func (*Ray) IntersectPlane

func (ray *Ray) IntersectPlane(plane Plane) (Vec3, bool)

IntersectPlane calculates the point which is the intersection of this ray with the specified plane. If no intersection is found false is returned.

func (*Ray) IntersectSphere

func (ray *Ray) IntersectSphere(sphere Sphere) (Vec3, bool)

IntersectSphere calculates the point which is the intersection of this ray with the specified sphere. If no intersection is found false is returne.

func (*Ray) IntersectTriangle

func (ray *Ray) IntersectTriangle(a, b, c Vec3, backfaceCulling bool) (Vec3, bool)

IntersectTriangle returns if this ray intersects the triangle with the face defined by points a, b, c. Returns true if it intersects and the point parameter with the intersected point coordinates. If backfaceCulling is false it ignores the intersection if the face is not oriented in the ray direction.

func (*Ray) IsEqual

func (ray *Ray) IsEqual(other Ray) bool

IsEqual returns if this ray is equal to other

func (*Ray) IsIntersectPlane

func (ray *Ray) IsIntersectPlane(plane Plane) bool

IsIntersectPlane returns if this ray intersects the specified plane.

func (*Ray) IsIntersectionBox

func (ray *Ray) IsIntersectionBox(box Box3) bool

IsIntersectionBox returns if this ray intersects the specified box.

func (*Ray) IsIntersectionSphere

func (ray *Ray) IsIntersectionSphere(sphere Sphere) bool

IsIntersectionSphere returns if this ray intersects with the specified sphere.

func (*Ray) Recast

func (ray *Ray) Recast(t float32)

Recast sets the new origin of the ray at the specified distance t from its origin along its direction.

func (*Ray) Set

func (ray *Ray) Set(origin, dir Vec3)

Set sets the origin and direction vectors of this Ray.

type Sphere

type Sphere struct {
	Center Vec3    // center of the sphere
	Radius float32 // radius of the sphere
}

Sphere represents a 3D sphere defined by its center point and a radius

func NewSphere

func NewSphere(center Vec3, radius float32) *Sphere

NewSphere creates and returns a pointer to a new sphere with the specified center and radius.

func (*Sphere) ClampPoint

func (s *Sphere) ClampPoint(point Vec3) Vec3

ClampPoint clamps the specified point inside the sphere. If the specified point is inside the sphere, it is the clamped point. Otherwise the clamped point is the the point in the sphere surface in the nearest of the specified point.

func (*Sphere) ContainsPoint

func (s *Sphere) ContainsPoint(point Vec3) bool

ContainsPoint returns if this sphere contains the specified point.

func (*Sphere) DistToPoint

func (s *Sphere) DistToPoint(point Vec3) float32

DistToPoint returns the distance from the sphere surface to the specified point.

func (*Sphere) GetBoundingBox

func (s *Sphere) GetBoundingBox() Box3

GetBoundingBox calculates a Box3 which bounds this sphere.

func (*Sphere) IntersectSphere

func (s *Sphere) IntersectSphere(other Sphere) bool

IntersectSphere returns if other sphere intersects this one.

func (*Sphere) IsEmpty

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

IsEmpty checks if this sphere is empty (radius <= 0)

func (*Sphere) MulMat4

func (s *Sphere) MulMat4(mat *Mat4)

MulMat4 applies the specified matrix transform to this sphere.

func (*Sphere) Set

func (s *Sphere) Set(center Vec3, radius float32)

Set sets the center and radius of this sphere.

func (*Sphere) SetFromBox

func (s *Sphere) SetFromBox(box Box3)

SetFromBox sets the center and radius of this sphere to surround given box

func (*Sphere) SetFromPoints

func (s *Sphere) SetFromPoints(points []Vec3, optCenter *Vec3)

SetFromPoints sets this sphere from the specified points array and optional center.

func (*Sphere) Translate

func (s *Sphere) Translate(offset Vec3)

Translate translates this sphere by the specified offset.

type Spline

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

func NewSpline

func NewSpline(points []Vec3) Spline

func (*Spline) InitFromArray

func (sp *Spline) InitFromArray(a []float32)

type Triangle

type Triangle struct {
	A Vec3
	B Vec3
	C Vec3
}

Triangle represents a triangle made of three vertices.

func NewTriangle

func NewTriangle(a, b, c Vec3) Triangle

NewTriangle returns a new Triangle object.

func (*Triangle) Area

func (t *Triangle) Area() float32

Area returns the triangle's area.

func (*Triangle) BarycoordFromPoint

func (t *Triangle) BarycoordFromPoint(point Vec3) Vec3

BarycoordFromPoint returns the barycentric coordinates for the specified point.

func (*Triangle) ContainsPoint

func (t *Triangle) ContainsPoint(point Vec3) bool

ContainsPoint returns whether the triangle contains a point.

func (*Triangle) IsEqual

func (t *Triangle) IsEqual(tri Triangle) bool

IsEqual returns whether the triangles are equal in all their vertices.

func (*Triangle) Midpoint

func (t *Triangle) Midpoint() Vec3

Midpoint returns the triangle's midpoint.

func (*Triangle) Normal

func (t *Triangle) Normal() Vec3

Normal returns the triangle's normal.

func (*Triangle) Plane

func (t *Triangle) Plane() Plane

Plane returns a Plane object aligned with the triangle.

func (*Triangle) Set

func (t *Triangle) Set(a, b, c Vec3)

Set sets the triangle's three vertices.

func (*Triangle) SetFromPointsAndIndices

func (t *Triangle) SetFromPointsAndIndices(points []Vec3, i0, i1, i2 int)

SetFromPointsAndIndices sets the triangle's vertices based on the specified points and indices.

type Vec2

type Vec2 struct {
	X float32
	Y float32
}

Vec2 is a 2D vector/point with X and Y components.

func NewVec2

func NewVec2(x, y float32) Vec2

NewVec2 returns new Vec2 with the specified x and y components.

func NewVec2FmFixed added in v0.9.11

func NewVec2FmFixed(pt fixed.Point26_6) Vec2

func NewVec2FmPoint added in v0.9.11

func NewVec2FmPoint(pt image.Point) Vec2

func NewVec2Scalar

func NewVec2Scalar(s float32) Vec2

NewVec2Scalar returns a new Vec2 with all components set to scalar.

func (Vec2) Abs added in v0.9.11

func (v Vec2) Abs() Vec2

Abs returns the absolute value for each dimension

func (Vec2) Add

func (v Vec2) Add(other Vec2) Vec2

Add adds other vector to this one and returns result in a new vector.

func (Vec2) AddScalar

func (v Vec2) AddScalar(s float32) Vec2

AddScalar adds scalar s to each component of this vector and returns new vector.

func (Vec2) AlmostEqual

func (v Vec2) AlmostEqual(other Vec2, tol float32) bool

AlmostEqual returns whether the vector is almost equal to another vector within the specified tolerance.

func (Vec2) Ceil

func (v Vec2) Ceil() Vec2

Ceil returns vector with mat32.Ceil() applied to each of this vector's components.

func (*Vec2) Clamp

func (v *Vec2) Clamp(min, max Vec2)

Clamp sets this vector components to be no less than the corresponding components of min and not greater than the corresponding component of max. Assumes min < max, if this assumption isn't true it will not operate correctly.

func (*Vec2) ClampScalar

func (v *Vec2) ClampScalar(minVal, maxVal float32)

ClampScalar sets this vector components to be no less than minVal and not greater than maxVal.

func (Vec2) Dim

func (v Vec2) Dim(dim Dims) float32

Dim returns this vector component.

func (Vec2) DistTo

func (v Vec2) DistTo(other Vec2) float32

DistTo returns the distance of this point to other.

func (Vec2) DistToSquared

func (v Vec2) DistToSquared(other Vec2) float32

DistToSquared returns the distance squared of this point to other.

func (Vec2) Div

func (v Vec2) Div(other Vec2) Vec2

Div divides each component of this vector by the corresponding one from other vector and returns resulting vector.

func (Vec2) DivScalar

func (v Vec2) DivScalar(scalar float32) Vec2

DivScalar divides each component of this vector by the scalar s and returns resulting vector. If scalar is zero, returns zero.

func (Vec2) Dot

func (v Vec2) Dot(other Vec2) float32

Dot returns the dot product of this vector with other.

func (Vec2) Fixed added in v0.9.11

func (a Vec2) Fixed() fixed.Point26_6

func (Vec2) Floor

func (v Vec2) Floor() Vec2

Floor returns vector with mat32.Floor() applied to each of this vector's components.

func (*Vec2) FromArray

func (v *Vec2) FromArray(array []float32, offset int)

FromArray sets this vector's components from the specified array and offset.

func (Vec2) InTriangle

func (v Vec2) InTriangle(p0, p1, p2 Vec2) bool

InTriangle returns whether the vector is inside the specified triangle.

func (Vec2) IsEqual

func (v Vec2) IsEqual(other Vec2) bool

IsEqual returns if this vector is equal to other.

func (Vec2) IsNil

func (v Vec2) IsNil() bool

IsNil returns true if all values are 0 (uninitialized).

func (Vec2) Length

func (v Vec2) Length() float32

Length returns the length of this vector.

func (Vec2) LengthSq

func (v Vec2) LengthSq() float32

LengthSq returns the length squared of this vector. LengthSq can be used to compare vectors' lengths without the need to perform a square root.

func (Vec2) Lerp

func (v Vec2) Lerp(other Vec2, alpha float32) Vec2

Lerp returns vector with each components as the linear interpolated value of alpha between itself and the corresponding other component.

func (Vec2) Max

func (v Vec2) Max(other Vec2) Vec2

Max returns max of this vector components vs. other vector.

func (Vec2) Min

func (v Vec2) Min(other Vec2) Vec2

Min returns min of this vector components vs. other vector.

func (Vec2) MinPos added in v0.9.11

func (a Vec2) MinPos(b Vec2) Vec2

MinPos returns minimum of all positive (> 0) numbers

func (Vec2) Mul

func (v Vec2) Mul(other Vec2) Vec2

Mul multiplies each component of this vector by the corresponding one from other and returns resulting vector.

func (Vec2) MulScalar

func (v Vec2) MulScalar(s float32) Vec2

MulScalar multiplies each component of this vector by the scalar s and returns resulting vector.

func (Vec2) Negate

func (v Vec2) Negate() Vec2

Negate returns vector with each component negated.

func (Vec2) Normal

func (v Vec2) Normal() Vec2

Normal returns this vector divided by its length

func (*Vec2) Normalize

func (v *Vec2) Normalize()

Normalize normalizes this vector so its length will be 1.

func (Vec2) Round

func (v Vec2) Round() Vec2

Round returns vector with mat32.Round() applied to each of this vector's components.

func (*Vec2) Set

func (v *Vec2) Set(x, y float32)

Set sets this vector X and Y components.

func (*Vec2) SetAdd

func (v *Vec2) SetAdd(other Vec2)

SetAdd sets this to addition with other vector (i.e., += or plus-equals).

func (*Vec2) SetAddDim added in v0.9.11

func (a *Vec2) SetAddDim(d Dims, val float32)

func (*Vec2) SetAddScalar

func (v *Vec2) SetAddScalar(s float32)

SetAddScalar sets this to addition with scalar.

func (*Vec2) SetByName

func (v *Vec2) SetByName(name string, value float32)

SetByName sets this vector component value by its case insensitive name: "x" or "y".

func (*Vec2) SetCeil

func (v *Vec2) SetCeil()

SetCeil applies mat32.Ceil() to each of this vector's components.

func (*Vec2) SetDim

func (v *Vec2) SetDim(dim Dims, value float32)

SetDim sets this vector component value by its dimension index.

func (*Vec2) SetDiv

func (v *Vec2) SetDiv(other Vec2)

SetDiv sets this to division by other vector (i.e., /= or divide-equals).

func (*Vec2) SetDivDim added in v0.9.11

func (a *Vec2) SetDivDim(d Dims, val float32)

func (*Vec2) SetDivScalar

func (v *Vec2) SetDivScalar(s float32)

SetDivScalar sets this to division by scalar.

func (*Vec2) SetFixed added in v0.9.11

func (a *Vec2) SetFixed(pt fixed.Point26_6)

func (*Vec2) SetFloor

func (v *Vec2) SetFloor()

SetFloor applies mat32.Floor() to each of this vector's components.

func (*Vec2) SetFromVec2i

func (v *Vec2) SetFromVec2i(vi Vec2i)

SetFromVec2i sets from a Vec2i (int32) vector.

func (*Vec2) SetLength

func (v *Vec2) SetLength(l float32)

SetLength sets this vector to have the specified length.

func (*Vec2) SetLerp

func (v *Vec2) SetLerp(other Vec2, alpha float32)

Lerp sets each of this vector's components to the linear interpolated value of alpha between ifself and the corresponding other component.

func (*Vec2) SetMax

func (v *Vec2) SetMax(other Vec2)

SetMax sets this vector components to the maximum value of itself and other vector.

func (*Vec2) SetMaxDim added in v0.9.11

func (a *Vec2) SetMaxDim(d Dims, val float32)

set the value along a given dimension to max of current val and new val

func (*Vec2) SetMaxScalar added in v0.9.11

func (v *Vec2) SetMaxScalar(val float32)

SetMaxScalar sets to max of current value and scalar val

func (*Vec2) SetMin

func (v *Vec2) SetMin(other Vec2)

SetMin sets this vector components to the minimum values of itself and other vector.

func (*Vec2) SetMinDim added in v0.9.11

func (a *Vec2) SetMinDim(d Dims, val float32)

set the value along a given dimension to min of current val and new val

func (*Vec2) SetMinPos added in v0.9.11

func (v *Vec2) SetMinPos(b Vec2)

SetMinPos set to minpos of current vs. other

func (*Vec2) SetMinPosDim added in v0.9.11

func (a *Vec2) SetMinPosDim(d Dims, val float32)

set the value along a given dimension to min of current val and new val

func (*Vec2) SetMinPosScalar added in v0.9.11

func (v *Vec2) SetMinPosScalar(val float32)

SetMinPosScalar sets to minpos of current value and scalar val

func (*Vec2) SetMinScalar added in v0.9.11

func (v *Vec2) SetMinScalar(val float32)

SetMinScalar sets to min of current value and scalar val

func (*Vec2) SetMul

func (v *Vec2) SetMul(other Vec2)

SetMul sets this to multiplication with other vector (i.e., *= or times-equals).

func (*Vec2) SetMulDim added in v0.9.11

func (a *Vec2) SetMulDim(d Dims, val float32)

func (*Vec2) SetMulScalar

func (v *Vec2) SetMulScalar(s float32)

SetMulScalar sets this to multiplication by scalar.

func (*Vec2) SetNegate

func (v *Vec2) SetNegate()

SetNegate negates each of this vector's components.

func (*Vec2) SetNormal

func (v *Vec2) SetNormal()

SetNormal normalizes this vector so its length will be 1.

func (*Vec2) SetPoint added in v0.9.11

func (a *Vec2) SetPoint(pt image.Point)

func (*Vec2) SetRound

func (v *Vec2) SetRound()

SetRound rounds each of this vector's components.

func (*Vec2) SetScalar

func (v *Vec2) SetScalar(s float32)

SetScalar sets all vector components to same scalar value.

func (*Vec2) SetSub

func (v *Vec2) SetSub(other Vec2)

SetSub sets this to subtraction with other vector (i.e., -= or minus-equals).

func (*Vec2) SetSubDim added in v0.9.11

func (a *Vec2) SetSubDim(d Dims, val float32)

func (*Vec2) SetSubScalar

func (v *Vec2) SetSubScalar(s float32)

SetSubScalar sets this to subtraction of scalar.

func (*Vec2) SetZero

func (v *Vec2) SetZero()

SetZero sets this vector X and Y components to be zero.

func (Vec2) String added in v0.9.11

func (a Vec2) String() string

func (Vec2) Sub

func (v Vec2) Sub(other Vec2) Vec2

Sub subtracts other vector from this one and returns result in new vector.

func (Vec2) SubScalar

func (v Vec2) SubScalar(s float32) Vec2

SubScalar subtracts scalar s from each component of this vector and returns new vector.

func (Vec2) ToArray

func (v Vec2) ToArray(array []float32, offset int)

ToArray copies this vector's components to array starting at offset.

func (Vec2) ToPoint added in v0.9.11

func (a Vec2) ToPoint() image.Point

func (Vec2) ToPointCeil added in v0.9.11

func (a Vec2) ToPointCeil() image.Point

func (Vec2) ToPointFloor added in v0.9.11

func (a Vec2) ToPointFloor() image.Point

func (Vec2) ToPointRound added in v0.9.11

func (a Vec2) ToPointRound() image.Point

func (Vec2) WindowToNDC added in v0.9.9

func (v Vec2) WindowToNDC(size, off Vec2, flipY bool) Vec3

WindowToNDC converts window (pixel) coordinates to normalized display coordinates (NDC), using given window size parameters. The Z depth coordinate (0-1) must be set manually or by reading from framebuffer flipY if true means flip the Y axis (top = 0 for windows vs. bottom = 0 for 3D coords)

type Vec2i

type Vec2i struct {
	X int32
	Y int32
}

Vec2i is a 2D vector/point with X and Y integer32 components.

func NewVec2i

func NewVec2i(x, y int32) Vec2i

NewVec2i returns a new Vec2i with the specified x and y components.

func NewVec2iScalar

func NewVec2iScalar(s int32) Vec2i

NewVec2iScalar returns a new Vec2i with all components set to scalar.

func (Vec2i) Add

func (v Vec2i) Add(other Vec2i) Vec2i

Add adds other vector to this one and returns result in a new vector.

func (Vec2i) AddScalar

func (v Vec2i) AddScalar(s int32) Vec2i

AddScalar adds scalar s to each component of this vector and returns new vector.

func (*Vec2i) Clamp

func (v *Vec2i) Clamp(min, max Vec2i)

Clamp sets this vector components to be no less than the corresponding components of min and not greater than the corresponding component of max. Assumes min < max, if this assumption isn't true it will not operate correctly.

func (*Vec2i) ClampScalar

func (v *Vec2i) ClampScalar(minVal, maxVal int32)

ClampScalar sets this vector components to be no less than minVal and not greater than maxVal.

func (Vec2i) Dim

func (v Vec2i) Dim(dim Dims) int32

Dim returns this vector component

func (Vec2i) Div

func (v Vec2i) Div(other Vec2i) Vec2i

Div divides each component of this vector by the corresponding one from other vector and returns resulting vector.

func (Vec2i) DivScalar

func (v Vec2i) DivScalar(scalar int32) Vec2i

DivScalar divides each component of this vector by the scalar s and returns resulting vector. If scalar is zero, returns zero.

func (*Vec2i) FromArray

func (v *Vec2i) FromArray(array []int32, offset int)

FromArray sets this vector's components from the specified array and offset.

func (Vec2i) IsEqual

func (v Vec2i) IsEqual(other Vec2i) bool

IsEqual returns if this vector is equal to other.

func (Vec2i) IsNil

func (v Vec2i) IsNil() bool

IsNil returns true if all values are 0 (uninitialized).

func (Vec2i) Max

func (v Vec2i) Max(other Vec2i) Vec2i

Max returns max of this vector components vs. other vector.

func (Vec2i) Min

func (v Vec2i) Min(other Vec2i) Vec2i

Min returns min of this vector components vs. other vector.

func (Vec2i) Mul

func (v Vec2i) Mul(other Vec2i) Vec2i

Mul multiplies each component of this vector by the corresponding one from other and returns resulting vector.

func (Vec2i) MulScalar

func (v Vec2i) MulScalar(s int32) Vec2i

MulScalar multiplies each component of this vector by the scalar s and returns resulting vector.

func (Vec2i) Negate

func (v Vec2i) Negate() Vec2i

Negate returns vector with each component negated.

func (*Vec2i) Set

func (v *Vec2i) Set(x, y int32)

Set sets this vector X and Y components.

func (*Vec2i) SetAdd

func (v *Vec2i) SetAdd(other Vec2i)

SetAdd sets this to addition with other vector (i.e., += or plus-equals).

func (*Vec2i) SetAddScalar

func (v *Vec2i) SetAddScalar(s int32)

SetAddScalar sets this to addition with scalar.

func (*Vec2i) SetByName

func (v *Vec2i) SetByName(name string, value int32)

SetByName sets this vector component value by its case insensitive name: "x" or "y".

func (*Vec2i) SetDim

func (v *Vec2i) SetDim(dim Dims, value int32)

SetDim sets this vector component value by its dimension index

func (*Vec2i) SetDiv

func (v *Vec2i) SetDiv(other Vec2i)

SetDiv sets this to division by other vector (i.e., /= or divide-equals).

func (*Vec2i) SetDivScalar

func (v *Vec2i) SetDivScalar(s int32)

SetDivScalar sets this to division by scalar.

func (*Vec2i) SetFromVec2 added in v0.9.9

func (v *Vec2i) SetFromVec2(vf Vec2)

SetFromVec2 sets from a Vec2 (float32) vector.

func (*Vec2i) SetMax

func (v *Vec2i) SetMax(other Vec2i)

SetMax sets this vector components to the maximum value of itself and other vector.

func (*Vec2i) SetMin

func (v *Vec2i) SetMin(other Vec2i)

SetMin sets this vector components to the minimum values of itself and other vector.

func (*Vec2i) SetMul

func (v *Vec2i) SetMul(other Vec2i)

SetMul sets this to multiplication with other vector (i.e., *= or times-equals).

func (*Vec2i) SetMulScalar

func (v *Vec2i) SetMulScalar(s int32)

SetMulScalar sets this to multiplication by scalar.

func (*Vec2i) SetNegate

func (v *Vec2i) SetNegate()

SetNegate negates each of this vector's components.

func (*Vec2i) SetScalar

func (v *Vec2i) SetScalar(s int32)

SetScalar sets all vector components to same scalar value.

func (*Vec2i) SetSub

func (v *Vec2i) SetSub(other Vec2i)

SetSub sets this to subtraction with other vector (i.e., -= or minus-equals).

func (*Vec2i) SetSubScalar

func (v *Vec2i) SetSubScalar(s int32)

SetSubScalar sets this to subtraction of scalar.

func (*Vec2i) SetZero

func (v *Vec2i) SetZero()

SetZero sets this vector X and Y components to be zero.

func (Vec2i) Sub

func (v Vec2i) Sub(other Vec2i) Vec2i

Sub subtracts other vector from this one and returns result in new vector.

func (Vec2i) SubScalar

func (v Vec2i) SubScalar(s int32) Vec2i

SubScalar subtracts scalar s from each component of this vector and returns new vector.

func (Vec2i) ToArray

func (v Vec2i) ToArray(array []int32, offset int)

ToArray copies this vector's components to array starting at offset.

type Vec3

type Vec3 struct {
	X float32
	Y float32
	Z float32
}

Vec3 is a 3D vector/point with X, Y and Z components.

func BarycoordFromPoint

func BarycoordFromPoint(point, a, b, c Vec3) Vec3

BarycoordFromPoint returns the barycentric coordinates for the specified point.

func NewEulerAnglesFromMatrix

func NewEulerAnglesFromMatrix(m *Mat4) Vec3

NewEulerAnglesFromMatrix returns a Vec3 with components as the Euler angles from the specified pure rotation matrix.

func NewVec3

func NewVec3(x, y, z float32) Vec3

NewVec3 returns a new Vec3 with the specified x, y and y components.

func NewVec3FromVec4

func NewVec3FromVec4(v Vec4) Vec3

NewVec3FromVec4 returns a new Vec3 from a Vec4

func NewVec3Scalar

func NewVec3Scalar(s float32) Vec3

NewVec3Scalar returns a new Vec3 with all components set to scalar.

func Normal

func Normal(a, b, c Vec3) Vec3

Normal returns the triangle's normal.

func (Vec3) Abs added in v0.9.11

func (v Vec3) Abs() Vec3

Abs returns vector with Abs of each component.

func (Vec3) Add

func (v Vec3) Add(other Vec3) Vec3

Add adds other vector to this one and returns result in a new vector.

func (Vec3) AddScalar

func (v Vec3) AddScalar(s float32) Vec3

AddScalar adds scalar s to each component of this vector and returns new vector.

func (*Vec3) AlmostEqual

func (v *Vec3) AlmostEqual(other Vec3, tol float32) bool

AlmostEqual returns whether the vector is almost equal to another vector within the specified tolerance.

func (Vec3) AngleTo

func (v Vec3) AngleTo(other Vec3) float32

AngleTo returns the angle between this vector and other.

func (Vec3) Ceil

func (v Vec3) Ceil() Vec3

Ceil returns vector with mat32.Ceil() applied to each of this vector's components.

func (*Vec3) Clamp

func (v *Vec3) Clamp(min, max Vec3)

Clamp sets this vector components to be no less than the corresponding components of min and not greater than the corresponding component of max. Assumes min < max, if this assumption isn't true it will not operate correctly.

func (*Vec3) ClampScalar

func (v *Vec3) ClampScalar(minVal, maxVal float32)

ClampScalar sets this vector components to be no less than minVal and not greater than maxVal.

func (Vec3) CosTo

func (v Vec3) CosTo(other Vec3) float32

CosTo returns the cosine (normalized dot product) between this vector and other.

func (Vec3) Cross

func (v Vec3) Cross(other Vec3) Vec3

Cross returns the cross product of this vector with other.

func (Vec3) Dim

func (v Vec3) Dim(dim Dims) float32

Dim returns this vector component

func (Vec3) DistTo

func (v Vec3) DistTo(other Vec3) float32

DistTo returns the distance of this point to other.

func (Vec3) DistToSquared

func (v Vec3) DistToSquared(other Vec3) float32

DistToSquared returns the distance squared of this point to other.

func (Vec3) Div

func (v Vec3) Div(other Vec3) Vec3

Div divides each component of this vector by the corresponding one from other vector and returns resulting vector.

func (Vec3) DivScalar

func (v Vec3) DivScalar(scalar float32) Vec3

DivScalar divides each component of this vector by the scalar s and returns resulting vector. If scalar is zero, returns zero.

func (Vec3) Dot

func (v Vec3) Dot(other Vec3) float32

Dot returns the dot product of this vector with other.

func (Vec3) Floor

func (v Vec3) Floor() Vec3

Floor returns vector with mat32.Floor() applied to each of this vector's components.

func (*Vec3) FromArray

func (v *Vec3) FromArray(array []float32, offset int)

FromArray sets this vector's components from the specified array and offset.

func (*Vec3) GenGoNew added in v0.9.9

func (v *Vec3) GenGoNew() string

GenGoNew returns code to create new

func (*Vec3) GenGoSet added in v0.9.9

func (v *Vec3) GenGoSet(path string) string

GenGoSet returns code to set values in object at given path (var.member etc)

func (Vec3) IsEqual

func (v Vec3) IsEqual(other Vec3) bool

IsEqual returns if this vector is equal to other.

func (Vec3) IsNil

func (v Vec3) IsNil() bool

IsNil returns true if all values are 0 (uninitialized).

func (Vec3) Length

func (v Vec3) Length() float32

Length returns the length of this vector.

func (Vec3) LengthSq

func (v Vec3) LengthSq() float32

LengthSq returns the length squared of this vector. LengthSq can be used to compare vectors' lengths without the need to perform a square root.

func (Vec3) Lerp

func (v Vec3) Lerp(other Vec3, alpha float32) Vec3

Lerp returns vector with each components as the linear interpolated value of alpha between itself and the corresponding other component.

func (Vec3) MVProjToNDC added in v0.9.9

func (v Vec3) MVProjToNDC(m *Mat4, w float32) Vec3

MVProjToNDC project given vector through given MVP model-view-projection Mat4 and do perspective divide to return normalized display coordinates (NDC). w is value for 4th coordinate -- use 1 for positions, 0 for normals.

func (Vec3) Max

func (v Vec3) Max(other Vec3) Vec3

Max returns max of this vector components vs. other vector.

func (Vec3) Min

func (v Vec3) Min(other Vec3) Vec3

Min returns min of this vector components vs. other vector.

func (Vec3) Mul

func (v Vec3) Mul(other Vec3) Vec3

Mul multiplies each component of this vector by the corresponding one from other and returns resulting vector.

func (Vec3) MulMat3

func (v Vec3) MulMat3(m *Mat3) Vec3

MulMat3 returns vector multiplied by specified 3x3 matrix.

func (Vec3) MulMat4

func (v Vec3) MulMat4(m *Mat4) Vec3

MulMat4 returns vector multiplied by specified 4x4 matrix.

func (Vec3) MulMat4AsVec4

func (v Vec3) MulMat4AsVec4(m *Mat4, w float32) Vec3

MulMat4AsVec4 returns 3-dim vector multiplied by specified 4x4 matrix using a 4-dim vector with given 4th dimensional value, then reduced back to a 3-dimensional vector. This is somehow different from just straight MulMat4 on the 3-dim vector. Use 0 for normals and 1 for positions as the 4th dim to set.

func (Vec3) MulProjection

func (v Vec3) MulProjection(m *Mat4) Vec3

MulProjection returns vector multiplied by the projection matrix m

func (Vec3) MulQuat

func (v Vec3) MulQuat(q Quat) Vec3

MulQuat returns vector multiplied by specified quaternion and then by the quaternion inverse. It basically applies the rotation encoded in the quaternion to this vector.

func (Vec3) MulScalar

func (v Vec3) MulScalar(s float32) Vec3

MulScalar multiplies each component of this vector by the scalar s and returns resulting vector.

func (Vec3) NDCToWindow added in v0.9.9

func (v Vec3) NDCToWindow(size, off Vec2, near, far float32, flipY bool) Vec3

NDCToWindow converts normalized display coordinates (NDC) to window (pixel) coordinates, using given window size parameters. near, far are 0, 1 by default (glDepthRange defaults). flipY if true means flip the Y axis (top = 0 for windows vs. bottom = 0 for 3D coords)

func (Vec3) Negate

func (v Vec3) Negate() Vec3

Negate returns vector with each component negated.

func (Vec3) Normal

func (v Vec3) Normal() Vec3

Normal returns this vector divided by its length

func (*Vec3) Normalize

func (v *Vec3) Normalize()

Normalize normalizes this vector so its length will be 1.

func (*Vec3) ProjectOnPlane

func (v *Vec3) ProjectOnPlane(planeNormal Vec3) Vec3

ProjectOnPlane returns vector projected on the plane specified by normal vector.

func (*Vec3) ProjectOnVector

func (v *Vec3) ProjectOnVector(other Vec3) Vec3

ProjectOnVector returns vector projected on other vector.

func (*Vec3) RandomTangents

func (v *Vec3) RandomTangents() (Vec3, Vec3)

RandomTangents computes and returns two arbitrary tangents to the vector.

func (*Vec3) Reflect

func (v *Vec3) Reflect(normal Vec3) Vec3

Reflect returns vector reflected relative to the normal vector (assumed to be already normalized).

func (Vec3) RotateAxisAngle

func (v Vec3) RotateAxisAngle(axis Vec3, angle float32) Vec3

RotateAxisAngle returns vector rotated around axis by angle.

func (Vec3) Round

func (v Vec3) Round() Vec3

Round returns vector with mat32.Round() applied to each of this vector's components.

func (*Vec3) Set

func (v *Vec3) Set(x, y, z float32)

Set sets this vector X, Y and Z components.

func (*Vec3) SetAdd

func (v *Vec3) SetAdd(other Vec3)

SetAdd sets this to addition with other vector (i.e., += or plus-equals).

func (*Vec3) SetAddScalar

func (v *Vec3) SetAddScalar(s float32)

SetAddScalar sets this to addition with scalar.

func (*Vec3) SetByName

func (v *Vec3) SetByName(name string, value float32)

SetByName sets this vector component value by its case insensitive name: "x", "y", or "z".

func (*Vec3) SetCeil

func (v *Vec3) SetCeil()

SetCeil applies mat32.Ceil() to each of this vector's components.

func (*Vec3) SetDim

func (v *Vec3) SetDim(dim Dims, value float32)

SetDim sets this vector component value by dimension index.

func (*Vec3) SetDiv

func (v *Vec3) SetDiv(other Vec3)

SetDiv sets this to division by other vector (i.e., /= or divide-equals).

func (*Vec3) SetDivScalar

func (v *Vec3) SetDivScalar(s float32)

SetDivScalar sets this to division by scalar.

func (*Vec3) SetEulerAnglesFromMatrix

func (v *Vec3) SetEulerAnglesFromMatrix(m *Mat4)

SetEulerAnglesFromMatrix sets this vector components to the Euler angles from the specified pure rotation matrix.

func (*Vec3) SetEulerAnglesFromQuat

func (v *Vec3) SetEulerAnglesFromQuat(q Quat)

SetEulerAnglesFromQuat sets this vector components to the Euler angles from the specified quaternion.

func (*Vec3) SetFloor

func (v *Vec3) SetFloor()

SetFloor applies mat32.Floor() to each of this vector's components.

func (*Vec3) SetFromMatrixCol

func (v *Vec3) SetFromMatrixCol(index int, m *Mat4)

SetFromMatrixCol set this vector with the column at index of the m matrix.

func (*Vec3) SetFromMatrixPos

func (v *Vec3) SetFromMatrixPos(m *Mat4)

SetFromMatrixPos set this vector from the translation coordinates in the specified transformation matrix.

func (*Vec3) SetFromVec3i

func (v *Vec3) SetFromVec3i(vi Vec3i)

SetFromVec3i sets from a Vec3i (int32) vector.

func (*Vec3) SetFromVec4

func (v *Vec3) SetFromVec4(other Vec4)

SetFromVec4 sets this vector from a Vec4

func (*Vec3) SetLength

func (v *Vec3) SetLength(l float32)

SetLength sets this vector to have the specified length. If the current length is zero, does nothing.

func (*Vec3) SetLerp

func (v *Vec3) SetLerp(other Vec3, alpha float32)

SetLerp sets each of this vector's components to the linear interpolated value of alpha between itself and the corresponding other component.

func (*Vec3) SetMax

func (v *Vec3) SetMax(other Vec3)

SetMax sets this vector components to the maximum value of itself and other vector.

func (*Vec3) SetMin

func (v *Vec3) SetMin(other Vec3)

SetMin sets this vector components to the minimum values of itself and other vector.

func (*Vec3) SetMul

func (v *Vec3) SetMul(other Vec3)

SetMul sets this to multiplication with other vector (i.e., *= or times-equals).

func (*Vec3) SetMulMat3

func (v *Vec3) SetMulMat3(m *Mat3)

SetMulMat3 sets vector multiplied by specified 3x3 matrix.

func (*Vec3) SetMulMat4

func (v *Vec3) SetMulMat4(m *Mat4)

SetMulMat4 sets vector multiplied by specified 4x4 matrix.

func (*Vec3) SetMulQuat

func (v *Vec3) SetMulQuat(q Quat)

SetMulQuat multiplies vector by specified quaternion and then by the quaternion inverse. It basically applies the rotation encoded in the quaternion to this vector.

func (*Vec3) SetMulScalar

func (v *Vec3) SetMulScalar(s float32)

SetMulScalar sets this to multiplication by scalar.

func (*Vec3) SetNegate

func (v *Vec3) SetNegate()

SetNegate negates each of this vector's components.

func (*Vec3) SetNormal

func (v *Vec3) SetNormal()

SetNormal normalizes this vector so its length will be 1.

func (*Vec3) SetRotateAxisAngle

func (v *Vec3) SetRotateAxisAngle(axis Vec3, angle float32)

SetRotateAxisAngle sets vector rotated around axis by angle.

func (*Vec3) SetRound

func (v *Vec3) SetRound()

SetRound rounds each of this vector's components.

func (*Vec3) SetScalar

func (v *Vec3) SetScalar(s float32)

SetScalar sets all vector X, Y and Z components to same scalar value.

func (*Vec3) SetSub

func (v *Vec3) SetSub(other Vec3)

SetSub sets this to subtraction with other vector (i.e., -= or minus-equals).

func (*Vec3) SetSubScalar

func (v *Vec3) SetSubScalar(s float32)

SetSubScalar sets this to subtraction of scalar.

func (*Vec3) SetZero

func (v *Vec3) SetZero()

SetZero sets this vector X, Y and Z components to be zero.

func (Vec3) Sub

func (v Vec3) Sub(other Vec3) Vec3

Sub subtracts other vector from this one and returns result in new vector.

func (Vec3) SubScalar

func (v Vec3) SubScalar(s float32) Vec3

SubScalar subtracts scalar s from each component of this vector and returns new vector.

func (Vec3) ToArray

func (v Vec3) ToArray(array []float32, offset int)

ToArray copies this vector's components to array starting at offset.

type Vec3i

type Vec3i struct {
	X int32
	Y int32
	Z int32
}

Vec3i is a 3D vector/point with X, Y and Z int32 components.

func NewVec3i

func NewVec3i(x, y, z int32) Vec3i

NewVec3i returns a new Vec3i with the specified x, y and y components.

func NewVec3iScalar

func NewVec3iScalar(s int32) Vec3i

NewVec3iScalar returns a new Vec3 with all components set to scalar.

func (Vec3i) Add

func (v Vec3i) Add(other Vec3i) Vec3i

Add adds other vector to this one and returns result in a new vector.

func (Vec3i) AddScalar

func (v Vec3i) AddScalar(s int32) Vec3i

AddScalar adds scalar s to each component of this vector and returns new vector.

func (*Vec3i) Clamp

func (v *Vec3i) Clamp(min, max Vec3i)

Clamp sets this vector components to be no less than the corresponding components of min and not greater than the corresponding component of max. Assumes min < max, if this assumption isn't true it will not operate correctly.

func (*Vec3i) ClampScalar

func (v *Vec3i) ClampScalar(minVal, maxVal int32)

ClampScalar sets this vector components to be no less than minVal and not greater than maxVal.

func (Vec3i) Dim

func (v Vec3i) Dim(dim Dims) int32

Dim returns this vector component

func (Vec3i) Div

func (v Vec3i) Div(other Vec3i) Vec3i

Div divides each component of this vector by the corresponding one from other vector and returns resulting vector.

func (Vec3i) DivScalar

func (v Vec3i) DivScalar(scalar int32) Vec3i

DivScalar divides each component of this vector by the scalar s and returns resulting vector. If scalar is zero, returns zero.

func (*Vec3i) FromArray

func (v *Vec3i) FromArray(array []int32, offset int)

FromArray sets this vector's components from the specified array and offset

func (Vec3i) IsEqual

func (v Vec3i) IsEqual(other Vec3i) bool

IsEqual returns if this vector is equal to other.

func (Vec3i) IsNil

func (v Vec3i) IsNil() bool

IsNil returns true if all values are 0 (uninitialized).

func (Vec3i) Max

func (v Vec3i) Max(other Vec3i) Vec3i

Max returns max of this vector components vs. other vector.

func (Vec3i) Min

func (v Vec3i) Min(other Vec3i) Vec3i

Min returns min of this vector components vs. other vector.

func (Vec3i) Mul

func (v Vec3i) Mul(other Vec3i) Vec3i

Mul multiplies each component of this vector by the corresponding one from other and returns resulting vector.

func (Vec3i) MulScalar

func (v Vec3i) MulScalar(s int32) Vec3i

MulScalar multiplies each component of this vector by the scalar s and returns resulting vector.

func (Vec3i) Negate

func (v Vec3i) Negate() Vec3i

Negate returns vector with each component negated.

func (*Vec3i) Set

func (v *Vec3i) Set(x, y, z int32)

Set sets this vector X, Y and Z components.

func (*Vec3i) SetAdd

func (v *Vec3i) SetAdd(other Vec3i)

SetAdd sets this to addition with other vector (i.e., += or plus-equals).

func (*Vec3i) SetAddScalar

func (v *Vec3i) SetAddScalar(s int32)

SetAddScalar sets this to addition with scalar.

func (*Vec3i) SetByName

func (v *Vec3i) SetByName(name string, value int32)

SetByName sets this vector component value by its case insensitive name: "x", "y", or "z".

func (*Vec3i) SetDim

func (v *Vec3i) SetDim(dim Dims, value int32)

SetDim sets this vector component value by dimension index.

func (*Vec3i) SetDiv

func (v *Vec3i) SetDiv(other Vec3i)

SetDiv sets this to division by other vector (i.e., /= or divide-equals).

func (*Vec3i) SetDivScalar

func (v *Vec3i) SetDivScalar(s int32)

SetDivScalar sets this to division by scalar.

func (*Vec3i) SetFromVec3

func (v *Vec3i) SetFromVec3(vf Vec3)

SetFromVec3 sets from a Vec3 (float32) vector.

func (*Vec3i) SetMax

func (v *Vec3i) SetMax(other Vec3i)

SetMax sets this vector components to the maximum value of itself and other vector.

func (*Vec3i) SetMin

func (v *Vec3i) SetMin(other Vec3i)

SetMin sets this vector components to the minimum values of itself and other vector.

func (*Vec3i) SetMul

func (v *Vec3i) SetMul(other Vec3i)

SetMul sets this to multiplication with other vector (i.e., *= or times-equals).

func (*Vec3i) SetMulScalar

func (v *Vec3i) SetMulScalar(s int32)

SetMulScalar sets this to multiplication by scalar.

func (*Vec3i) SetNegate

func (v *Vec3i) SetNegate()

SetNegate negates each of this vector's components.

func (*Vec3i) SetScalar

func (v *Vec3i) SetScalar(s int32)

SetScalar sets all vector X, Y and Z components to same scalar value.

func (*Vec3i) SetSub

func (v *Vec3i) SetSub(other Vec3i)

SetSub sets this to subtraction with other vector (i.e., -= or minus-equals).

func (*Vec3i) SetSubScalar

func (v *Vec3i) SetSubScalar(s int32)

SetSubScalar sets this to subtraction of scalar.

func (*Vec3i) SetZero

func (v *Vec3i) SetZero()

SetZero sets this vector X, Y and Z components to be zero.

func (Vec3i) Sub

func (v Vec3i) Sub(other Vec3i) Vec3i

Sub subtracts other vector from this one and returns result in new vector.

func (Vec3i) SubScalar

func (v Vec3i) SubScalar(s int32) Vec3i

SubScalar subtracts scalar s from each component of this vector and returns new vector.

func (Vec3i) ToArray

func (v Vec3i) ToArray(array []int32, offset int)

ToArray copies this vector's components to array starting at offset.

type Vec4

type Vec4 struct {
	X float32
	Y float32
	Z float32
	W float32
}

Vec4 is a vector/point in homogeneous coordinates with X, Y, Z and W components.

func NewVec4

func NewVec4(x, y, z, w float32) Vec4

NewVec4 returns a new Vec4 with the specified components.

func NewVec4FromVec3

func NewVec4FromVec3(v Vec3, w float32) Vec4

NewVec4FromVec3 returns a new Vec4 from a Vec3 and W

func NewVec4Scalar

func NewVec4Scalar(s float32) Vec4

NewVec4Scalar returns a new Vec4 with all components set to scalar.

func (Vec4) Add

func (v Vec4) Add(other Vec4) Vec4

Add adds other vector to this one and returns result in a new vector.

func (Vec4) AddScalar

func (v Vec4) AddScalar(s float32) Vec4

AddScalar adds scalar s to each component of this vector and returns new vector.

func (*Vec4) AlmostEqual

func (v *Vec4) AlmostEqual(other Vec4, tol float32) bool

AlmostEqual returns whether the vector is almost equal to another vector within the specified tolerance.

func (Vec4) Ceil

func (v Vec4) Ceil() Vec4

Ceil returns vector with mat32.Ceil() applied to each of this vector's components.

func (*Vec4) Clamp

func (v *Vec4) Clamp(min, max Vec4)

Clamp sets this vector components to be no less than the corresponding components of min and not greater than the corresponding component of max. Assumes min < max, if this assumption isn't true it will not operate correctly.

func (*Vec4) ClampScalar

func (v *Vec4) ClampScalar(minVal, maxVal float32)

ClampScalar sets this vector components to be no less than minVal and not greater than maxVal.

func (Vec4) Dim

func (v Vec4) Dim(dim Dims) float32

Dim returns this vector component.

func (Vec4) Div

func (v Vec4) Div(other Vec4) Vec4

Div divides each component of this vector by the corresponding one from other vector and returns resulting vector.

func (Vec4) DivScalar

func (v Vec4) DivScalar(scalar float32) Vec4

DivScalar divides each component of this vector by the scalar s and returns resulting vector. If scalar is zero, returns zero.

func (Vec4) Dot

func (v Vec4) Dot(other Vec4) float32

Dot returns the dot product of this vector with other.

func (Vec4) Floor

func (v Vec4) Floor() Vec4

Floor returns vector with mat32.Floor() applied to each of this vector's components.

func (*Vec4) FromArray

func (v *Vec4) FromArray(array []float32, offset int)

FromArray sets this vector's components from the specified array and offset

func (*Vec4) IsEqual

func (v *Vec4) IsEqual(other Vec4) bool

IsEqual returns if this vector is equal to other.

func (Vec4) IsNil

func (v Vec4) IsNil() bool

IsNil returns true if all values are 0 (uninitialized).

func (Vec4) Length

func (v Vec4) Length() float32

Length returns the length of this vector.

func (Vec4) LengthSq

func (v Vec4) LengthSq() float32

LengthSq returns the length squared of this vector. LengthSq can be used to compare vectors' lengths without the need to perform a square root.

func (Vec4) Lerp

func (v Vec4) Lerp(other Vec4, alpha float32) Vec4

Lerp returns vector with each components as the linear interpolated value of alpha between itself and the corresponding other component.

func (Vec4) Max

func (v Vec4) Max(other Vec4) Vec4

Max returns max of this vector components vs. other vector.

func (Vec4) Min

func (v Vec4) Min(other Vec4) Vec4

Min returns min of this vector components vs. other vector.

func (Vec4) Mul

func (v Vec4) Mul(other Vec4) Vec4

Mul multiplies each component of this vector by the corresponding one from other and returns resulting vector.

func (Vec4) MulMat4

func (v Vec4) MulMat4(m *Mat4) Vec4

MulMat4 returns vector multiplied by specified 4x4 matrix.

func (Vec4) MulScalar

func (v Vec4) MulScalar(s float32) Vec4

MulScalar multiplies each component of this vector by the scalar s and returns resulting vector.

func (Vec4) Negate

func (v Vec4) Negate() Vec4

Negate returns vector with each component negated.

func (Vec4) Normal

func (v Vec4) Normal() Vec4

Normal returns this vector divided by its length

func (*Vec4) Normalize

func (v *Vec4) Normalize()

Normalize normalizes this vector so its length will be 1.

func (Vec4) PerspDiv added in v0.9.9

func (v Vec4) PerspDiv() Vec3

PerspDiv returns the 3-vector of normalized display coordinates (NDC) from given 4-vector By dividing by the 4th W component

func (Vec4) Round

func (v Vec4) Round() Vec4

Round returns vector with mat32.Round() applied to each of this vector's components.

func (*Vec4) Set

func (v *Vec4) Set(x, y, z, w float32)

Set sets this vector X, Y, Z and W components.

func (*Vec4) SetAdd

func (v *Vec4) SetAdd(other Vec4)

SetAdd sets this to addition with other vector (i.e., += or plus-equals).

func (*Vec4) SetAddScalar

func (v *Vec4) SetAddScalar(s float32)

SetAddScalar sets this to addition with scalar.

func (*Vec4) SetAxisAngleFromQuat

func (v *Vec4) SetAxisAngleFromQuat(q Quat)

SetAxisAngleFromQuat set this vector to be the axis (x, y, z) and angle (w) of a rotation specified the quaternion q. Assumes q is normalized.

func (*Vec4) SetAxisFromRotationMatrix

func (v *Vec4) SetAxisFromRotationMatrix(m *Mat4)

SetAxisFromRotationMatrix sets this vector to be the axis (x, y, z) and angle (w) of a rotation specified the matrix m. Assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled).

func (*Vec4) SetByName

func (v *Vec4) SetByName(name string, value float32)

SetByName sets this vector component value by its case insensitive name: "x", "y", "z" or "w".

func (*Vec4) SetCeil

func (v *Vec4) SetCeil()

SetCeil applies mat32.Ceil() to each of this vector's components.

func (*Vec4) SetDim

func (v *Vec4) SetDim(dim Dims, value float32)

SetDim sets this vector component value by dimension index.

func (*Vec4) SetDiv

func (v *Vec4) SetDiv(other Vec4)

SetDiv sets this to division by other vector (i.e., /= or divide-equals).

func (*Vec4) SetDivScalar

func (v *Vec4) SetDivScalar(s float32)

SetDivScalar sets this to division by scalar.

func (*Vec4) SetFloor

func (v *Vec4) SetFloor()

SetFloor applies mat32.Floor() to each of this vector's components.

func (*Vec4) SetFromVec3

func (v *Vec4) SetFromVec3(other Vec3, w float32)

SetFromVec3 sets this vector from a Vec3 and W

func (*Vec4) SetLength

func (v *Vec4) SetLength(l float32)

SetLength sets this vector to have the specified length. If the current length is zero, does nothing.

func (*Vec4) SetLerp

func (v *Vec4) SetLerp(other *Vec4, alpha float32)

SetLerp sets each of this vector's components to the linear interpolated value of alpha between ifself and the corresponding other component.

func (*Vec4) SetMax

func (v *Vec4) SetMax(other Vec4)

SetMax sets this vector components to the maximum value of itself and other vector.

func (*Vec4) SetMin

func (v *Vec4) SetMin(other Vec4)

SetMin sets this vector components to the minimum values of itself and other vector.

func (*Vec4) SetMul

func (v *Vec4) SetMul(other Vec4)

SetMul sets this to multiplication with other vector (i.e., *= or times-equals).

func (*Vec4) SetMulScalar

func (v *Vec4) SetMulScalar(s float32)

SetMulScalar sets this to multiplication by scalar.

func (*Vec4) SetNegate

func (v *Vec4) SetNegate()

SetNegate negates each of this vector's components.

func (*Vec4) SetNormal

func (v *Vec4) SetNormal()

SetNormal normalizes this vector so its length will be 1.

func (*Vec4) SetRound

func (v *Vec4) SetRound()

SetRound rounds each of this vector's components.

func (*Vec4) SetSub

func (v *Vec4) SetSub(other Vec4)

SetSub sets this to subtraction with other vector (i.e., -= or minus-equals).

func (*Vec4) SetSubScalar

func (v *Vec4) SetSubScalar(s float32)

SetSubScalar sets this to subtraction of scalar.

func (*Vec4) SetZero

func (v *Vec4) SetZero()

SetZero sets this vector X, Y and Z components to be zero and W to be one.

func (Vec4) Sub

func (v Vec4) Sub(other Vec4) Vec4

Sub subtracts other vector from this one and returns result in new vector.

func (Vec4) SubScalar

func (v Vec4) SubScalar(s float32) Vec4

SubScalar subtracts scalar s from each component of this vector and returns new vector.

func (Vec4) ToArray

func (v Vec4) ToArray(array []float32, offset int)

ToArray copies this vector's components to array starting at offset.

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