Remove ellipses touching the edges.

[master-thesis.git] / Parasitemia / Parasitemia / Types.fs

diff --git a/Parasitemia/Parasitemia/Types.fs b/Parasitemia/Parasitemia/Types.fs
index 308fc6b..f96573d 100644 (file)
--- a/Parasitemia/Parasitemia/Types.fs
+++ b/Parasitemia/Parasitemia/Types.fs
@@ -2,7 +2,26 @@
 
 open System
 
-type Ellipse = { cx: float; cy: float; a: float; b: float; alpha: float }
-    
+type Ellipse (cx: float, cy: float, a: float, b: float, alpha: float) =
+    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 * Math.PI
 
-//type PointImg = { x: int; y: int }
\ No newline at end of file
+    // Does the ellipse contain the point (x, y)?.
+    member this.Contains x y = 
+        ((x - cx) * cos alpha + (y - cy) * sin alpha) ** 2.0 / a ** 2.0 + ((x - cx) * sin alpha - (y - cy) * cos alpha) ** 2.0 / b ** 2.0 <= 1.0
+
+    // A line is defined as : y = mx + l
+    member this.CutALine (m: float) (l: float) : bool =
+        -2.0 * l ** 2.0 + a ** 2.0 + m ** 2.0 * a ** 2.0 + b ** 2.0 + m ** 2.0 * b ** 2.0 - 
+        4.0 * m * l * cx - 2.0 * m ** 2.0 * cx ** 2.0 + 4.0 * l * cy + 4.0 * m * cx * cy - 
+        2.0 * cy ** 2.0 + (-1.0 + m ** 2.0) * (a ** 2.0 - b ** 2.0) * cos (2.0 * alpha) - 2.0 * m * (a ** 2.0 - b ** 2.0) * sin (2.0 * alpha) > 0.0
+
+    member this.CutAVericalLine (y: float) : bool = 
+        a ** 2.0 + b ** 2.0 - 2.0 * y ** 2.0 + 4.0 * y * cx - 2.0 * cx ** 2.0 + a ** 2.0 * cos (2.0 * alpha) - b ** 2.0 * cos (2.0 * alpha) > 0.0
+
+    member this.CutAnHorizontalLine (x: float) : bool = 
+        a ** 2.0 + b ** 2.0 - 2.0 * x ** 2.0 + 4.0 * x * cy - 2.0 * cy ** 2.0 - a ** 2.0 * cos (2.0 * alpha) + b ** 2.0 * cos (2.0 * alpha) > 0.0
\ No newline at end of file