How to implement geometric calculation in golang

Golang is a powerful programming language that is efficient, simple and reliable. It is particularly suitable for processing geometric calculations, such as mathematical operations, graphics rendering, CAD drawing and game development. This article will introduce golang geometric calculation in detail, giving you a deeper understanding of this amazing field.

1. Basic mathematical operations

The basis of geometric calculations is geometric mathematics and vector operations, both of which require basic mathematical operations. The following are commonly used mathematical functions in golang:

1. Absolute value function: Abs(x int) int
   func Abs(x int) int
2. Maximum value function: Max( x, y int) int
   func Max(x, y int) int
3. Minimum value function: Min(x, y int) int
   func Min(x, y int) int
4. Power function: Pow(x, y float64) float64
   func Pow(x, y float64) float64
5. Trigonometric function: Sin(x float64) float64, Cos(x float64) float64 , Tan(x float64) float64
   func Sin(x float64) float64
   func Cos(x float64) float64
   func Tan(x float64) float64

2. Vector operations

Vectors are the basis of geometric calculations. In golang, we can use the Vector type to represent vectors, which contains two fields x and y of type float64. Here are some common functions that use vectors for geometric calculations:

1. Vector addition: Add(v1, v2 Vector) Vector
   func Add(v1, v2 Vector) Vector {
   return Vector {x: v1.x v2.x, y: v1.y v2.y}
   }
2. Vector subtraction: Sub(v1, v2 Vector) Vector
   func Sub(v1, v2 Vector ) Vector {
   return Vector{x: v1.x - v2.x, y: v1.y - v2.y}
   }
3. Vector multiplication: Scale(v Vector, s float64 ) Vector
   func Scale(v Vector, s float64) Vector {
   return Vector{x: v.x s, y: v.y s}
   }
4. Vector point Product: Dot(v1, v2 Vector) float64
   func Dot(v1, v2 Vector) float64 {
   return v1.xv2.x v1.yv2.y
   }
5. Vector length: Length(v Vector) float64
   func Length(v Vector) float64 {
   return math.Sqrt(v.xv.x v.yv.y)
   }

6. Vector normalization: Normalize(v Vector) Vector
   func Normalize(v Vector) Vector {
   len := Length(v)
   if len != 0 {

    v.x /= len
    v.y /= len

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   }
   return v
   }

3. Curve calculation

Curve is another important aspect of geometric calculation. In golang, we can also use the Curve type to represent curves, which contains multiple vectors representing different points on the curve. Here are some common functions for working with curves:

1. Curve length: Length(curve Curve) float64
   func Length(curve Curve) float64 {
   var leng float64
   for i := 0; i < len(curve)-1; i {

    leng += Length(Sub(curve[i+1], curve[i]))

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   }
   return leng
   }

2. Curve tangent: Tangent(curve Curve, t float64) Vector
   func Tangent(curve Curve, t float64) Vector {
   tangent := Scale(Sub(curve[int(t) 1], curve[int(t)]), 1.0- float64(int(t))
   tangent = Add(tangent, Scale(Sub(curve[int(t) 2], curve[int(t) 1]), float64(int(t) 1)-t) )
   return Normalize(tangent)
   }
3. Curve interpolation: Lerp(curve Curve, t float64) Vector
   func Lerp(curve Curve, t float64) Vector {
   index: = int(t)
   t = t - float64(index)
   return Add(curve[index], Scale(Sub(curve[index 1], curve[index]), t))
   }

4. Graphics calculation

Graphics calculation is a major application of geometric calculation and can be used in fields such as graphics rendering, CAD drawing and game development. The following are commonly used in golang Graphics calculation function:

1. Collision detection function: Collision(rect1, rect2 Rect) bool
   func Collision(rect1, rect2 Rect) bool {
   if rect1.Min.X >= rect2.Max.X || rect2.Min.X >= rect1.Max.X {

    return false

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   }
   if rect1.Min.Y >= rect2.Max.Y | | rect2.Min.Y >= rect1.Max.Y {

    return false

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   }
   return true
   }

2. The positional relationship between the point and the rectangle ：PointInRect(point Point, rect Rect) bool
   func PointInRect(point Point, rect Rect) bool {
   if point.X < rect.Min.X || point.Y < rect.Min.Y || point.X >= rect.Max.X || point.Y >= rect.Max.Y {

    return false

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   }
   return true
   }

3. The positional relationship between rectangles: RectInRect(rect1 Rect, rect2 Rect) bool
   func RectInRect(rect1 Rect, rect2 Rect) bool {
   if rect1.Min.X >= rect2. Max.X || rect2.Min.X >= rect1.Max.X {

    return false

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   }
   if rect1.Min.Y >= rect2.Max.Y || rect2.Min. Y >= rect1.Max.Y {

    return false

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   }
   return true
   }

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