gg/mx/line_expr.go

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2024-05-28 11:24:12 +03:00
package mx
//import "fmt"
// The type represents mathematical equation of line and line itself.
type LineExpr struct {
K, C, X Float
Vertical bool
}
// Returns the line itself. Made to implement the Liner interface.
func (l LineExpr) GetLineExpr() LineExpr {
return l
}
func (e LineExpr) GetContainedPoints(pts Vectors) Vectors {
ret := make(Vectors, 0, len(pts))
for _, pt := range pts {
if e.ContainsPoint(pt) {
ret = append(ret, pt)
}
}
return ret
}
func (l LineExpr) ContainsPoint(p Vector) bool {
buf := LineExpr{0, p.Y, 0, false}
pc, ok := DoLinersCross(l, buf)
if !ok {
return false
}
//Println("points:", l, p, pc)
return Neq(pc.Point.X, p.X) && Neq(pc.Point.Y, p.Y)
}
func (l1 LineExpr) Crosses(l2 LineExpr) (Vector, bool) {
var x, y Float
if AreLinersParallel(l1, l2) {
return ZV, false
}
switch {
case l1.Vertical :
x = l1.X
y = l2.K*x + l2.C
//Println("l1-vert:", x, y)
case l2.Vertical :
x = l2.X
y = l1.K*x + l1.C
//Println("l2-vert:", x, y)
default:
x = (l1.C - l2.C) / (l2.K - l1.K)
y = l1.K*x + l1.C
}
//Println("in:", x, y)
return Vector{x, y}, true
}