* Add an exact method to compute an ellipse from three points and two tangents.

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

diff --git a/Parasitemia/Parasitemia/EEOver.fs b/Parasitemia/Parasitemia/EEOver.fs
index 528632a..2bd13b2 100644 (file)
--- a/Parasitemia/Parasitemia/EEOver.fs
+++ b/Parasitemia/Parasitemia/EEOver.fs
@@ -69,7 +69,6 @@ let private istanpt (x: float) (y: float) (a1: float) (b1: float) (aa: float) (b
     then TANGENT_POINT
     else INTERSECTION_POINT
 
-
 let private twointpts (x: float[]) (y: float[]) (a1: float) (b1: float) (phi_1: float) (a2: float) (b2: float) (h2_tr: float) (k2_tr: float) (phi_2: float) (aa: float) (bb: float) (cc: float) (dd: float) (ee: float) (ff: float) =
     if abs x.[0] > a1
     then x.[0] <- if x.[0] < 0.0 then -a1 else a1
@@ -181,7 +180,6 @@ let private twointpts (x: float[]) (y: float[]) (a1: float) (b1: float) (phi_1:
 
     area1 + area2
 
-
 let private threeintpts (xint: float[]) (yint: float[]) (a1: float) (b1: float) (phi_1: float) (a2: float) (b2: float) (h2_tr: float) (k2_tr: float) (phi_2: float) (aa: float) (bb: float) (cc: float) (dd: float) (ee: float) (ff: float) : float =
     let mutable tanpts = 0
     let mutable tanindex = 0
@@ -218,7 +216,7 @@ let private fourintpts (xint: float[]) (yint: float[]) (a1: float) (b1: float) (
 
     let theta = Array.zeroCreate 4
 
-    for i in 0..3 do
+    for i in 0 .. 3 do
         if abs xint.[i] > a1
         then
             xint.[i] <- if xint.[i] < 0.0 then -a1 else a1
@@ -229,7 +227,7 @@ let private fourintpts (xint: float[]) (yint: float[]) (a1: float) (b1: float) (
         printf "k=%d:  Theta = %f, xint=%f, yint=%f\n" k theta.[k] xint.[k] yint.[k]
 #endif
 
-    for j in 1..3 do
+    for j in 1 .. 3 do
         let tmp0 = theta.[j]
         let tmp1 = xint.[j]
         let tmp2 = yint.[j]
@@ -334,7 +332,6 @@ let private fourintpts (xint: float[]) (yint: float[]) (a1: float) (b1: float) (
 
     area1 + area2 + area3 + area4 + area5
 
-
 let private quadroots (p: float[]) (r: float[,]) =
     let mutable b = -p.[1] / (2.0 * p.[0])
     let c = p.[2] / p.[0]
@@ -429,7 +426,6 @@ let private cubicroots (p: float[]) (r: float[,]) =
         for k in 1..3 do
             r.[2, k] <- 0.0
 
-
 let private biquadroots (p: float[]) (r: float[,]) =
     if p.[0] <> 1.0
     then
@@ -446,7 +442,7 @@ let private biquadroots (p: float[]) (r: float[,]) =
     a <- a - d
 
     let mutable quadExecuted = false
-    let quad () =
+    let inline quad () =
         if not quadExecuted
         then
             p.[2] <- c / b
@@ -514,9 +510,9 @@ let private biquadroots (p: float[]) (r: float[,]) =
     quad ()
 
 // Return a tuple (area, x intersections, y intersections)
-let EEOverlapArea (e1: Types.Ellipse) (e2: Types.Ellipse) : (float * float[] * float[]) option =
-    let h1, k1, a1, b1, phi_1 = e1.Cx, e1.Cy, e1.A, e1.B, e1.Alpha
-    let h2, k2, a2, b2, phi_2 = e2.Cx, e2.Cy, e2.A, e2.B, e2.Alpha
+let EEOverlapArea (e1: Types.Ellipse) (e2: Types.Ellipse) : (float32 * float32[] * float32[]) option =
+    let h1, k1, a1, b1, phi_1 = float e1.Cx, float e1.Cy, float e1.A, float e1.B, float e1.Alpha
+    let h2, k2, a2, b2, phi_2 = float e2.Cx, float e2.Cy, float e2.A, float e2.B, float e2.Alpha
 
     if a1 <= EPS || b1 <= EPS || a2 <= EPS || b2 <= EPS
     then
@@ -718,11 +714,11 @@ let EEOverlapArea (e1: Types.Ellipse) (e2: Types.Ellipse) : (float * float[] * f
                 | 4 -> fourintpts xint yint a1 b1 phi_1 a2 b2 h2_tr k2_tr phi_2 aa bb cc dd ee ff
                 | _ -> -1.0
             if nintpts = 0
-            then Some (area, [||], [||])
+            then Some (float32 area, [||], [||])
             else
-                let xTransform = Array.zeroCreate nintpts
-                let yTransform = Array.zeroCreate nintpts
+                let xTransform : float32[] = Array.zeroCreate nintpts
+                let yTransform : float32[] = Array.zeroCreate nintpts
                 for i in 0 .. (nintpts - 1) do
-                    xTransform.[i] <- cos phi_1 * xint.[i] - sin phi_1 * yint.[i] + h1
-                    yTransform.[i] <- sin phi_1 * xint.[i] + cos phi_1 * yint.[i] + k1
-                Some (area, xTransform, yTransform)
\ No newline at end of file
+                    xTransform.[i] <- float32 <| cos phi_1 * xint.[i] - sin phi_1 * yint.[i] + h1
+                    yTransform.[i] <- float32 <| sin phi_1 * xint.[i] + cos phi_1 * yint.[i] + k1
+                Some (float32 area, xTransform, yTransform)
\ No newline at end of file