gmath

package
v0.0.0-...-55a4dde Latest Latest
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 Go to latest Published: Jul 4, 2024 License: Apache-2.0 Imports: 2 Imported by: 0

Documentation

Index

Constants

This section is empty.

Variables

This section is empty.

Functions

func DegToRad 

func DegToRad[T constraints.Float](d T) T

func Morton2u32 

func Morton2u32(x, y uint16) uint32

func Morton3u32 

func Morton3u32(x, y, z uint16) uint32

10 bits per value so max value is 1023

func RadToDeg 

func RadToDeg[T constraints.Float](r T) T

Types

type Bounds3f 

type Bounds3f[T constraints.Float] struct {
	Min Vector3f[T]
	Max Vector3f[T]
}

type Bounds3f32 

type Bounds3f32 = Bounds3f[float32]

type Bounds3f64 

type Bounds3f64 = Bounds3f[float64]

type Bounds3i 

type Bounds3i[T constraints.Integer] struct {
	Min Vector3i[T]
	Max Vector3i[T]
}

type Bounds3i32 

type Bounds3i32 = Bounds3i[int32]

type Bounds3i64 

type Bounds3i64 = Bounds3i[int64]

type Bounds3int 

type Bounds3int = Bounds3i[int]

type Camera 

type Camera[T constraints.Float] interface {
	ScreenPointToRay(x, y int) Ray[T]

	ViewMatrix() Matrix4x4f[T]
	ViewInverseMatrix() Matrix4x4f[T]

	ProjectionMatrix() Matrix4x4f[T]
	ProjectionInverseMatrix() Matrix4x4f[T]
}

type Cameraf32 

type Cameraf32 = Camera[float32]

type Cameraf64 

type Cameraf64 = Camera[float64]

type Extent3 

type Extent3[T constraints.Integer | constraints.Float] struct {
	X, Y, Z T
}

func (Extent3[T]) Area 

func (e Extent3[T]) Area() T

type Extent3f32 

type Extent3f32 = Extent3[float32]

type Extent3f64 

type Extent3f64 = Extent3[float64]

type Extent3i32 

type Extent3i32 = Extent3[int32]

type Extent3i64 

type Extent3i64 = Extent3[int64]

type Extent3int 

type Extent3int = Extent3[int]

type Extent3u32 

type Extent3u32 = Extent3[uint32]

type Extent3u64 

type Extent3u64 = Extent3[uint64]

type Extent3uint 

type Extent3uint = Extent3[uint]

type Grid 

type Grid[T constraints.Float, U constraints.Integer] struct {
	Pos        Point3f[T]
	Bounds     Bounds3f[T]
	Scale      T
	CellBounds Bounds3i[U]
}

func (*Grid[T, U]) CellToWorldPos 

func (g *Grid[T, U]) CellToWorldPos(gc GridCell[U]) Point3f[T]

func (*Grid[T, U]) Init 

func (g *Grid[T, U]) Init(cellCount Vector3i[U], cellSize T)

func (*Grid[T, U]) WorldPosToCell 

func (g *Grid[T, U]) WorldPosToCell(p Point3f[T]) GridCell[U]

type Grid32 

type Grid32 = Grid[float32, int32]

type Grid64 

type Grid64 = Grid[float64, int64]

type GridCell 

type GridCell[T constraints.Integer] struct {
	X T
	Y T
	Z T
}

func (GridCell[T]) Clamp 

func (gc GridCell[T]) Clamp(bounds Bounds3i[T]) GridCell[T]

func (GridCell[T]) ToArray 

func (gc GridCell[T]) ToArray() [3]T

type GridCelli32 

type GridCelli32 = GridCell[int32]

type GridCelli64 

type GridCelli64 = GridCell[int64]

type Matrix4x4f 

type Matrix4x4f[T constraints.Float] [4][4]T

func (Matrix4x4f[T]) Invert 

func (m Matrix4x4f[T]) Invert() Matrix4x4f[T]

func (Matrix4x4f[T]) Multiply 

func (m Matrix4x4f[T]) Multiply(m2 Matrix4x4f[T]) Matrix4x4f[T]

func (Matrix4x4f[T]) ToArrayf32 

func (m Matrix4x4f[T]) ToArrayf32() [4][4]float32

func (Matrix4x4f[T]) Transpose 

func (m Matrix4x4f[T]) Transpose() Matrix4x4f[T]

func (Matrix4x4f[T]) TransposedToArrayf32 

func (m Matrix4x4f[T]) TransposedToArrayf32() [4][4]float32

type Matrix4x4f32 

type Matrix4x4f32 = Matrix4x4f[float32]

type Matrix4x4f64 

type Matrix4x4f64 = Matrix4x4f[float64]

type PerspectiveCamera 

type PerspectiveCamera[T constraints.Float] struct {
	Transform[T]

	SizeX T
	SizeY T
	FOV   T

	ZNear T
}

func (*PerspectiveCamera[T]) ProjectionInverseMatrix 

func (c *PerspectiveCamera[T]) ProjectionInverseMatrix() Matrix4x4f[T]

func (*PerspectiveCamera[T]) ProjectionMatrix 

func (c *PerspectiveCamera[T]) ProjectionMatrix() Matrix4x4f[T]

func (*PerspectiveCamera[T]) ScreenPointToRay 

func (c *PerspectiveCamera[T]) ScreenPointToRay(x, y int) Ray[T]

func (*PerspectiveCamera[T]) ViewInverseMatrix 

func (c *PerspectiveCamera[T]) ViewInverseMatrix() Matrix4x4f[T]

func (*PerspectiveCamera[T]) ViewMatrix 

func (c *PerspectiveCamera[T]) ViewMatrix() Matrix4x4f[T]

type PerspectiveCameraf32 

type PerspectiveCameraf32 = PerspectiveCamera[float32]

type PerspectiveCameraf64 

type PerspectiveCameraf64 = PerspectiveCamera[float64]

type Point3f 

type Point3f[T constraints.Float] struct {
	X, Y, Z T
}

func Point3fFromArray 

func Point3fFromArray[T constraints.Float](a [3]T) Point3f[T]

func (Point3f[T]) Add 

func (p Point3f[T]) Add(v Vector3f[T]) Point3f[T]

func (Point3f[T]) IsNAN 

func (p Point3f[T]) IsNAN() bool

func (Point3f[T]) Subtract 

func (p Point3f[T]) Subtract(v Vector3f[T]) Point3f[T]

func (Point3f[T]) ToArray 

func (p Point3f[T]) ToArray() [3]T

func (Point3f[T]) ToArrayf32 

func (p Point3f[T]) ToArrayf32() [3]float32

func (Point3f[T]) VectorTo 

func (p Point3f[T]) VectorTo(p2 Point3f[T]) Vector3f[T]

type Point3f32 

type Point3f32 = Point3f[float32]

type Point3f64 

type Point3f64 = Point3f[float64]

type Point3i 

type Point3i[T constraints.Integer] struct {
	X, Y, Z T
}

func Point3iFromArray 

func Point3iFromArray[T constraints.Integer](a [3]T) Point3i[T]

func (Point3i[T]) Add 

func (p Point3i[T]) Add(v Vector3i[T]) Point3i[T]

func (Point3i[T]) Subtract 

func (p Point3i[T]) Subtract(v Vector3i[T]) Point3i[T]

func (Point3i[T]) ToArray 

func (p Point3i[T]) ToArray() [3]T

func (Point3i[T]) VectorTo 

func (p Point3i[T]) VectorTo(p2 Point3i[T]) Vector3i[T]

type Point3i32 

type Point3i32 = Point3i[int32]

type Point3i64 

type Point3i64 = Point3i[int64]

type Point3int 

type Point3int = Point3i[int]

type Quaternion 

type Quaternion[T constraints.Float] struct {
	X, Y, Z, W T
}

func QuaternionFromAngleAxis 

func QuaternionFromAngleAxis[T constraints.Float](t T, axis Vector3f[T]) Quaternion[T]

func QuaternionFromEuler 

func QuaternionFromEuler[T constraints.Float](x, y, z T) Quaternion[T]

QuaternionFromEuler is creates a quaternion from euler rotation in the z x y order.

func (Quaternion[T]) Magnitude 

func (q Quaternion[T]) Magnitude() T

func (Quaternion[T]) Multiply 

func (q Quaternion[T]) Multiply(q2 Quaternion[T]) Quaternion[T]

func (Quaternion[T]) Normalize 

func (q Quaternion[T]) Normalize() Quaternion[T]

func (Quaternion[T]) Rotate 

func (q Quaternion[T]) Rotate(v Vector3f[T]) Vector3f[T]

type Quaternionf32 

type Quaternionf32 = Quaternion[float32]

type Quaternionf64 

type Quaternionf64 = Quaternion[float64]

type Ray 

type Ray[T constraints.Float] struct {
	Dir    Vector3f[T]
	InvDir Vector3f[T]
	Org    Point3f[T]
}

func (*Ray[T]) IntersectionAABB 

func (r *Ray[T]) IntersectionAABB(p Point3f[T], b Bounds3f[T]) T

type Rayf32 

type Rayf32 = Ray[float32]

type Rayf64 

type Rayf64 = Ray[float64]

type Rect 

type Rect[T constraints.Integer | constraints.Float] struct {
	X, Y, W, H T
}

type Rectf32 

type Rectf32 = Rect[float32]

type Rectf64 

type Rectf64 = Rect[float64]

type Recti32 

type Recti32 = Rect[int32]

type Recti64 

type Recti64 = Rect[int64]

type Rectint 

type Rectint = Rect[int]

type Transform 

type Transform[T constraints.Float] struct {
	Pos   Point3f[T]
	Rot   Quaternion[T]
	Scale Vector3f[T]
	Pivot Point3f[T]
}

func (*Transform[T]) LookAt 

func (t *Transform[T]) LookAt(up Vector3f[T], target Point3f[T])

func (*Transform[T]) ModelInverseMatrix 

func (t *Transform[T]) ModelInverseMatrix() Matrix4x4f[T]

func (*Transform[T]) ModelMatrix 

func (t *Transform[T]) ModelMatrix() Matrix4x4f[T]

func (*Transform[T]) PivotMatrix 

func (t *Transform[T]) PivotMatrix() Matrix4x4f[T]

func (*Transform[T]) RotationMatrix 

func (t *Transform[T]) RotationMatrix() Matrix4x4f[T]

func (*Transform[T]) ScaleMatrix 

func (t *Transform[T]) ScaleMatrix() Matrix4x4f[T]

func (*Transform[T]) TransformDirection 

func (t *Transform[T]) TransformDirection(v Vector3f[T]) Vector3f[T]

func (*Transform[T]) TransformPoint 

func (t *Transform[T]) TransformPoint(p Point3f[T]) Point3f[T]

func (*Transform[T]) TransformVector 

func (t *Transform[T]) TransformVector(v Vector3f[T]) Vector3f[T]

func (*Transform[T]) TranslationMatrix 

func (t *Transform[T]) TranslationMatrix() Matrix4x4f[T]

type Transformf32 

type Transformf32 = Transform[float32]

type Transformf64 

type Transformf64 = Transform[float64]

type Vector3f 

type Vector3f[T constraints.Float] struct {
	X, Y, Z T
}

func Vector3fFromArray 

func Vector3fFromArray[T constraints.Float](a [3]T) Vector3f[T]

func (Vector3f[T]) Abs 

func (v Vector3f[T]) Abs() Vector3f[T]

func (Vector3f[T]) Add 

func (v Vector3f[T]) Add(v2 Vector3f[T]) Vector3f[T]

func (Vector3f[T]) AddUniform 

func (v Vector3f[T]) AddUniform(f T) Vector3f[T]

func (Vector3f[T]) Angle 

func (v Vector3f[T]) Angle(v2 Vector3f[T]) T

func (Vector3f[T]) AngleAxis 

func (v Vector3f[T]) AngleAxis(v2 Vector3f[T]) (T, Vector3f[T])

func (Vector3f[T]) Clamp 

func (v Vector3f[T]) Clamp(lo, hi Vector3f[T]) Vector3f[T]

func (Vector3f[T]) Cross 

func (v Vector3f[T]) Cross(v2 Vector3f[T]) Vector3f[T]

func (Vector3f[T]) Dot 

func (v Vector3f[T]) Dot(v2 Vector3f[T]) T

func (Vector3f[T]) IsNAN 

func (v Vector3f[T]) IsNAN() bool

func (Vector3f[T]) Magnitude 

func (v Vector3f[T]) Magnitude() T

func (Vector3f[T]) Max 

func (v Vector3f[T]) Max(v2 Vector3f[T]) Vector3f[T]

func (Vector3f[T]) Min 

func (v Vector3f[T]) Min(v2 Vector3f[T]) Vector3f[T]

func (Vector3f[T]) Normalize 

func (v Vector3f[T]) Normalize() Vector3f[T]

func (Vector3f[T]) OrthoNormalize 

func (v Vector3f[T]) OrthoNormalize(tangent Vector3f[T]) Vector3f[T]

func (Vector3f[T]) Scale 

func (v Vector3f[T]) Scale(v2 Vector3f[T]) Vector3f[T]

func (Vector3f[T]) ScaleInverse 

func (v Vector3f[T]) ScaleInverse(v2 Vector3f[T]) Vector3f[T]

func (Vector3f[T]) ScaleInverseUniform 

func (v Vector3f[T]) ScaleInverseUniform(s T) Vector3f[T]

func (Vector3f[T]) ScaleUniform 

func (v Vector3f[T]) ScaleUniform(s T) Vector3f[T]

func (Vector3f[T]) Subtract 

func (v Vector3f[T]) Subtract(v2 Vector3f[T]) Vector3f[T]

func (Vector3f[T]) SubtractUniform 

func (v Vector3f[T]) SubtractUniform(f T) Vector3f[T]

func (Vector3f[T]) ToArray 

func (v Vector3f[T]) ToArray() [3]T

func (Vector3f[T]) ToArrayf32 

func (v Vector3f[T]) ToArrayf32() [3]float32

type Vector3f32 

type Vector3f32 = Vector3f[float32]

type Vector3f64 

type Vector3f64 = Vector3f[float64]

type Vector3i 

type Vector3i[T constraints.Integer] struct {
	X, Y, Z T
}

func Vector3iFromArray 

func Vector3iFromArray[T constraints.Integer](a [3]T) Vector3i[T]

func (Vector3i[T]) Abs 

func (v Vector3i[T]) Abs() Vector3i[T]

func (Vector3i[T]) Add 

func (v Vector3i[T]) Add(v2 Vector3i[T]) Vector3i[T]

func (Vector3i[T]) AddUniform 

func (v Vector3i[T]) AddUniform(i T) Vector3i[T]

func (Vector3i[T]) Clamp 

func (v Vector3i[T]) Clamp(lo, hi Vector3i[T]) Vector3i[T]

func (Vector3i[T]) Max 

func (v Vector3i[T]) Max(v2 Vector3i[T]) Vector3i[T]

func (Vector3i[T]) Min 

func (v Vector3i[T]) Min(v2 Vector3i[T]) Vector3i[T]

func (Vector3i[T]) Scale 

func (v Vector3i[T]) Scale(v2 Vector3i[T]) Vector3i[T]

func (Vector3i[T]) ScaleInverse 

func (v Vector3i[T]) ScaleInverse(v2 Vector3i[T]) Vector3i[T]

func (Vector3i[T]) ScaleInverseUniform 

func (v Vector3i[T]) ScaleInverseUniform(s T) Vector3i[T]

func (Vector3i[T]) ScaleUniform 

func (v Vector3i[T]) ScaleUniform(s T) Vector3i[T]

func (Vector3i[T]) Subtract 

func (v Vector3i[T]) Subtract(v2 Vector3i[T]) Vector3i[T]

func (Vector3i[T]) SubtractUniform 

func (v Vector3i[T]) SubtractUniform(i T) Vector3i[T]

func (Vector3i[T]) ToArray 

func (v Vector3i[T]) ToArray() [3]T

func (Vector3i[T]) ToArrayi32 

func (v Vector3i[T]) ToArrayi32() [3]int32

type Vector3i32 

type Vector3i32 = Vector3i[int32]

type Vector3i64 

type Vector3i64 = Vector3i[int64]

type Vector3int 

type Vector3int = Vector3i[int]

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