geometry

Documentation

Index

• func GaussJordanElimination(A [][]float64, b []float64) ([]float64, error)
• func NormalizeAngleDegrees(theta float64) float64
• type AffineMatrix
  • func NewAffineMatrix(p1, p2, p3, q1, q2, q3 Point) (AffineMatrix, error)
  • func NewRotationMat(center Point, angleDeg float64) AffineMatrix
  • func NewTranslateRotationMat(pA, pB Point, angleDeg float64) AffineMatrix
  • func (m AffineMatrix) Transform(p Point) Point
• type AngleDegrees
  • func (a AngleDegrees) Normalize() AngleDegrees
  • func (a AngleDegrees) Radian() AngleRadian
• type AngleRadian
  • func (a AngleRadian) Degrees() AngleDegrees
• type Point
  • func RandomPoint(min, max Point) Point
  • func (p Point) Length(p2 Point) float64
  • func (p Point) Rotate(center Point, angleDeg float64) Point
  • func (p Point) Vector(point Point) Vector
• type Point3D
• type Rectangle
  • func NewRect(center Point, width, height float64, angleDeg float64) *Rectangle
  • func (rect *Rectangle) ContainsPoint(p Point) bool
  • func (rect *Rectangle) Corners() [][]float64
• type Triangle
• type Vector
  • func NewVector(p1, p2 Point) Vector
  • func (v Vector) Angle() float64
  • func (v Vector) AngleWith(v2 Vector) float64
  • func (v Vector) Length() float64

Functions

func GaussJordanElimination

func GaussJordanElimination(A [][]float64, b []float64) ([]float64, error)

GaussJordanElimination 高斯-约旦消元法求解线性方程组 Ax = b

func NormalizeAngleDegrees

func NormalizeAngleDegrees(theta float64) float64

Types

type AffineMatrix

type AffineMatrix [2][3]float64

定义一个2x3的仿射变换矩阵

func NewAffineMatrix

func NewAffineMatrix(p1, p2, p3, q1, q2, q3 Point) (AffineMatrix, error)

计算仿射变换矩阵

func NewRotationMat

func NewRotationMat(center Point, angleDeg float64) AffineMatrix

func NewTranslateRotationMat

func NewTranslateRotationMat(pA, pB Point, angleDeg float64) AffineMatrix

NewTranslateRotationMat transforms a point from coordinate system a2 to a1 在数学和计算机图形学中，旋转角度的正负通常遵循右手定则。默认情况下，顺时针方向被认为是负的，而逆时针方向被认为是正的。 O2相对于O1旋转度数

func (AffineMatrix) Transform

func (m AffineMatrix) Transform(p Point) Point

应用仿射变换到点上

type AngleDegrees

type AngleDegrees float64

func (AngleDegrees) Normalize

func (a AngleDegrees) Normalize() AngleDegrees

func (AngleDegrees) Radian

func (a AngleDegrees) Radian() AngleRadian

type AngleRadian

type AngleRadian float64

func (AngleRadian) Degrees

func (a AngleRadian) Degrees() AngleDegrees

type Point

type Point struct {
	X float64
	Y float64
}

Point 结构体用于表示一个点

func RandomPoint

func RandomPoint(min, max Point) Point

func (Point) Length

func (p Point) Length(p2 Point) float64

PointsLength 计算两点之间的向量长度

func (Point) Rotate

func (p Point) Rotate(center Point, angleDeg float64) Point

func (Point) Vector

func (p Point) Vector(point Point) Vector

type Point3D

type Point3D struct {
	X float64
	Y float64
	Z float64
}

type Rectangle

type Rectangle struct {
	Center Point
	Width  float64
	Height float64
	Angle  float64
}

func NewRect

func NewRect(center Point, width, height float64, angleDeg float64) *Rectangle

func (*Rectangle) ContainsPoint

func (rect *Rectangle) ContainsPoint(p Point) bool

图片就是第四象限,角度90+θ

func (*Rectangle) Corners

func (rect *Rectangle) Corners() [][]float64

type Triangle

type Triangle struct {
	A, B, C Point
}

type Vector

type Vector struct {
	X float64
	Y float64
}

func NewVector

func NewVector(p1, p2 Point) Vector

func (Vector) Angle

func (v Vector) Angle() float64

func (Vector) AngleWith

func (v Vector) AngleWith(v2 Vector) float64

计算同坐标两个向量之间的角度

func (Vector) Length

func (v Vector) Length() float64