geom

package
v0.0.0-...-e996cf0 Latest Latest
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 Go to latest Published: Jul 29, 2020 License: MIT Imports: 3 Imported by: 0

Documentation

Index

Constants

This section is empty.

Variables

View Source 
var Epsilon = 0.01
View Source 
var IdentityMatrix = identity.Matrix
View Source 
var Right = NewVector(1, 0, 0)
View Source 
var Up = NewVector(0, 1, 0)

Functions

func Add3 

func Add3(t1, t2, t3 Tuple4, out *Tuple4)

func AddPtr 

func AddPtr(t1, t2 Tuple4, t3 *Tuple4)

func AddPtr2 

func AddPtr2(t1, t2 *Tuple4, t3 *Tuple4)

func AddPtr3 

func AddPtr3(t1, t2, t3, out *Tuple4)

func Cofactor3x3 

func Cofactor3x3(m1 Mat3x3, row, col int) float64

Cofactor3x3 may change the sign of the computed minor of the passed matrix

func Cofactor4x4 

func Cofactor4x4(m1 Mat4x4, row, col int) float64

Cofactor4x4 may change the sign of the computed minor of the passed matrix

func Cross2 

func Cross2(a *Tuple4, b *Tuple4, c *Tuple4)

func CrossProduct 

func CrossProduct(f1, f2, out *Tuple4)

func DP 

func DP(v1 *Tuple4, v2 *Tuple4) float64

func Determinant2x2 

func Determinant2x2(m1 Mat2x2) float64

Determinant2x2 returns A-D minus B-C for a [A,B] [C,D] Matrix.

func Determinant3x3 

func Determinant3x3(m1 Mat3x3) float64

Determinant3x3 takes the first row of the passed matrix, summing the colvalue * Cofactor of the same col

func Determinant4x4 

func Determinant4x4(m1 Mat4x4) float64

Determinant4x4

func Dot 

func Dot(t1 Tuple4, t2 Tuple4) float64

Dot product is the sum of the products of the corresponding entries of the two sequences of numbers a product is simply put the result of a multiplication. The dot product of two tuples is simply t1.x * t2.x + t1.y * t2.y + t1.z * t2.z + t1[3] * t2[3]

func DotProduct 

func DotProduct(v1 *Tuple4, v2 *Tuple4, result *Tuple4)

func DotPtr 

func DotPtr(t1 *Tuple4, t2 *Tuple4) float64

func Eq 

func Eq(a, b float64) bool

func Equals 

func Equals(m1, m2 Mat4x4) bool

func Equals2x2 

func Equals2x2(m1, m2 Mat2x2) bool

func Equals3x3 

func Equals3x3(m1, m2 Mat3x3) bool

func HadamardPtr 

func HadamardPtr(t1 *Tuple4, t2 *Tuple4, out *Tuple4)

func IsInvertible 

func IsInvertible(m1 Mat4x4) bool

func Magnitude 

func Magnitude(t1 Tuple4) float64

Magnitude measures the length of the passed vector. It's basically pythagoras sqrt(x2 + y2 + z2 + w2)

func MagnitudePtr 

func MagnitudePtr(t1 *Tuple4) float64

func Minor3x3 

func Minor3x3(m1 Mat3x3, row, col int) float64

Minor3x3 computes the submatrix at row/col and returns the determinant of the computed matrix.

func Minor4x4 

func Minor4x4(m1 Mat4x4, row, col int) float64

Minor4x4 computes the submatrix at row/col and returns the determinant of the computed matrix.

func MultiplyByScalarPtr 

func MultiplyByScalarPtr(t1 Tuple4, scalar float64, out *Tuple4)

func MultiplyByTuplePtr 

func MultiplyByTuplePtr(m *Mat4x4, f2 *Tuple4, _f4 *Tuple4)

func MultiplyByTupleUsingPointers 

func MultiplyByTupleUsingPointers(m1 *Mat4x4, t, out *Tuple4)

func MultiplyByTupleUsingValues 

func MultiplyByTupleUsingValues(m1 Mat4x4, t Tuple4, out *Tuple4)

func NegatePtr 

func NegatePtr(t1 Tuple4, out *Tuple4)

func NormalizePtr 

func NormalizePtr(t1 *Tuple4, out *Tuple4)

func NormalizePtr2 

func NormalizePtr2(t1 Tuple4, out *Tuple4)

func SubPtr 

func SubPtr(t1, t2 Tuple4, out *Tuple4)

func TupleEquals 

func TupleEquals(t1, t2 Tuple4) bool

func TupleXYZEq 

func TupleXYZEq(t1, t2 Tuple4) bool

Types

type Mat2x2 

type Mat2x2 [4]float64

func NewMat2x2 

func NewMat2x2(elems []float64) Mat2x2

func Submatrix3x3 

func Submatrix3x3(m1 Mat3x3, deleteRow, deleteCol int) Mat2x2

Submatrix3x3 extracts the 2x2 submatrix after deleting row and col from the passed 3x3

func (Mat2x2) Get 

func (m Mat2x2) Get(row int, col int) float64

type Mat3x3 

type Mat3x3 [9]float64

func NewMat3x3 

func NewMat3x3(elems []float64) Mat3x3

func Submatrix4x4 

func Submatrix4x4(m1 Mat4x4, deleteRow, deleteCol int) Mat3x3

Submatrix4x4 extracts the 3x3 submatrix after deleting row and col from the passed 4x4

func (Mat3x3) Get 

func (m Mat3x3) Get(row int, col int) float64

type Mat4x4 

type Mat4x4 [16]float64

func Inverse 

func Inverse(m1 Mat4x4) Mat4x4

func Multiply 

func Multiply(m1 Mat4x4, m2 Mat4x4) Mat4x4

func New4x4 

func New4x4() Mat4x4

func NewIdentityMatrix 

func NewIdentityMatrix() Mat4x4

func NewMat4x4 

func NewMat4x4(elems []float64) Mat4x4

func RotateX 

func RotateX(radians float64) Mat4x4

func RotateY 

func RotateY(radians float64) Mat4x4

func RotateZ 

func RotateZ(radians float64) Mat4x4

func Scale 

func Scale(x, y, z float64) Mat4x4

func Translate 

func Translate(x, y, z float64) Mat4x4

Translate creates a translation matrix from the identity matrix, setting wx, wy, wz to the passed xyz coords.

func Transpose 

func Transpose(m1 Mat4x4) Mat4x4

Transpose flips rows and cols in the matrix.

func (Mat4x4) Get 

func (m Mat4x4) Get(row int, col int) float64

type Ray 

type Ray struct {
	Origin    Tuple4
	Direction Tuple4
}

func NewEmptyRay 

func NewEmptyRay() Ray

func NewRay 

func NewRay(origin Tuple4, direction Tuple4) Ray

type Tuple4 

type Tuple4 [4]float64

func Add 

func Add(t1, t2 Tuple4) Tuple4

func Cross 

func Cross(t1 Tuple4, t2 Tuple4) Tuple4

func DivideByScalar 

func DivideByScalar(t1 Tuple4, scalar float64) Tuple4

func Hadamard 

func Hadamard(t1 Tuple4, t2 Tuple4) Tuple4

func MultiplyByScalar 

func MultiplyByScalar(t1 Tuple4, scalar float64) Tuple4

func MultiplyByTuple 

func MultiplyByTuple(m1 Mat4x4, t Tuple4) Tuple4

func Negate 

func Negate(t1 Tuple4) Tuple4

func NewColor 

func NewColor(r, g, b float64) Tuple4

func NewPoint 

func NewPoint(x, y, z float64) Tuple4

func NewTuple 

func NewTuple() Tuple4

func NewTupleOf 

func NewTupleOf(x, y, z, w float64) Tuple4

func NewVector 

func NewVector(x, y, z float64) Tuple4

func Normalize 

func Normalize(t1 Tuple4) Tuple4

Normalize measures the length (magnitude) of the passed Vector. Each component in t1 is then divided my the magnitude in order to Normalize it to unit (1) size.

func Sub 

func Sub(t1, t2 Tuple4) Tuple4

func T4F32 

func T4F32(x, y, z float32, w float64) Tuple4

func (Tuple4) Add 

func (t Tuple4) Add(t2 Tuple4) Tuple4

func (*Tuple4) AddNoRet 

func (t *Tuple4) AddNoRet(t2 Tuple4)

func (*Tuple4) AddNoRetPtr 

func (t *Tuple4) AddNoRetPtr(t2 *Tuple4)

func (Tuple4) Get 

func (t Tuple4) Get(row int) float64

func (Tuple4) IsPoint 

func (t Tuple4) IsPoint() bool

func (Tuple4) IsVector 

func (t Tuple4) IsVector() bool

func (Tuple4) Multiply 

func (t Tuple4) Multiply(scalar float64) Tuple4

func (Tuple4) ResetPoint 

func (t Tuple4) ResetPoint() Tuple4

func (Tuple4) ResetVector 

func (t Tuple4) ResetVector() Tuple4

Source Files

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