module Types

open System
open System.Drawing

open Emgu.CV
open Emgu.CV.Structure

open Const

type Ellipse (cx: float32, cy: float32, a: float32, b: float32, alpha: float32) =
    member this.Cx = cx
    member this.Cy = cy
    member this.A = a
    member this.B = b
    member this.Alpha = alpha
    member this.Area = a * b * PI

    // Does the ellipse contain the point (x, y)?.
    member this.Contains x y =
        ((x - cx) * cos alpha + (y - cy) * sin alpha) ** 2.f / a ** 2.f + ((x - cx) * sin alpha - (y - cy) * cos alpha) ** 2.f / b ** 2.f <= 1.f

    member this.CutAVericalLine (y: float32) : bool =
        a ** 2.f + b ** 2.f - 2.f * y ** 2.f + 4.f * y * cx - 2.f * cx ** 2.f + a ** 2.f * cos (2.f * alpha) - b ** 2.f * cos (2.f * alpha) > 0.f

    member this.CutAnHorizontalLine (x: float32) : bool =
        a ** 2.f + b ** 2.f - 2.f * x ** 2.f + 4.f * x * cy - 2.f * cy ** 2.f - a ** 2.f * cos (2.f * alpha) + b ** 2.f * cos (2.f * alpha) > 0.f

    member this.isOutside (width: float32) (height: float32) =
        this.Cx < 0.f || this.Cx >= width ||
        this.Cy < 0.f || this.Cy >= height ||
        this.CutAVericalLine 0.f || this.CutAVericalLine width ||
        this.CutAnHorizontalLine 0.f || this.CutAnHorizontalLine height

    member this.Scale (factor: float32) =
        Ellipse(this.Cx, this.Cy, this.A * factor, this.B * factor, alpha)

    // Approximation of Ramanujan.
    member this.Perimeter =
        PI * (3.f * (this.A + this.B) - sqrt ((3.f * this.A + this.B) * (this.A + 3.f * this.B)))

    override this.ToString () =
        sprintf "(cx: %A, cy: %A, a: %A, b: %A, alpha: %A)" this.Cx this.Cy this.A this.B this.Alpha


type CellClass = HealthyRBC | InfectedRBC | Peculiar

type Cell = {
    cellClass: CellClass
    center: Point
    elements: Matrix<byte> }

[<Struct>]
type Line (a: float32, b: float32) =
    member this.A = a
    member this.B = b
    member this.Valid = not (Single.IsInfinity this.A)

[<Struct>]
type PointD (x: float32, y: float32) =
    member this.X = x
    member this.Y = y