From 20d10a93e5becb41d1145f9d35136782365b0ba4 Mon Sep 17 00:00:00 2001
From: Sébastien Dailly <sebastien@chimrod.com>
Date: Thu, 17 Dec 2020 13:56:00 +0100
Subject: Refactor

---
 curves/bezier.ml | 197 -------------------------------------------------------
 1 file changed, 197 deletions(-)
 delete mode 100755 curves/bezier.ml

(limited to 'curves/bezier.ml')

diff --git a/curves/bezier.ml b/curves/bezier.ml
deleted file mode 100755
index 3dedc70..0000000
--- a/curves/bezier.ml
+++ /dev/null
@@ -1,197 +0,0 @@
-(**
-
-   Bezier curve
-*)
-
-module Utils = Tools.Utils
-
-type quadratic =
-  { p0:Gg.v2     (* The starting point *)
-  ; p1:Gg.v2     (* The end point *)
-  ; ctrl:Gg.v2 } (* The control point *)
-
-
-type t =
-  { p0:Gg.v2      (* The starting point *)
-  ; p1:Gg.v2      (* The end point *)
-  ; ctrl0:Gg.v2   (* The control point *)
-  ; ctrl1:Gg.v2 } (* The control point *)
-
-
-(**
-   Build a control point for a quadratic curve for passing throuht 3 points.
-   taken from https://xuhehuan.com/2608.html
-
-
-   also look to https://pomax.github.io/bezierinfo/#pointcurves
-*)
-let three_points_quadratic
-  : Gg.v2 -> Gg.v2 -> Gg.v2 -> quadratic
-  = fun p0 c1 p1 ->
-
-    let open Gg.V2 in
-
-    let vect_1 = p0 - c1
-    and vect_2 = p1 - c1 in
-    let norm1 = norm vect_1
-    and norm2 = norm vect_2 in
-    let v = (Float.sqrt (norm1 *. norm2)) /. 2. in
-
-    let ctrl = c1 - v * (( vect_1 / norm1) + (vect_2 / norm2)) in
-    {p0; p1; ctrl}
-
-(**
-
-   Convert a cubic bezier curve into a quadratic one
-
-*)
-let quadratic_to_cubic
-  : quadratic -> t
-  = fun {p0; p1; ctrl} ->
-
-    let coef = 2. /. 3. in
-
-    let open Gg.V2 in
-    { p0
-    ; p1
-    ; ctrl0 = mix p0 ctrl coef
-    ; ctrl1 = mix p1 ctrl coef }
-
-
-
-let abc_ratio
-  : int -> float -> float
-  = fun n t ->
-    let n' = Float.of_int n in
-    let bottom = (Float.pow t n') +. (Float.pow  (1. -. t) n') in
-    let top = bottom -. 1. in
-    Float.abs (top /. bottom)
-
-let half_cubic_ratio = abc_ratio 3 0.5
-
-exception Not_found
-
-(**
-
-   https://pomax.github.io/bezierinfo/#pointcurves
-
-*)
-let three_points_cubic
-  : float -> Gg.v2 -> Gg.v2 -> Gg.v2 -> t
-  = fun f p0 p1 p2 ->
-
-    let open Gg.V2 in
-
-    let c = half ( p0 + p2) in
-    let a = p1 + ((p1 - c) / half_cubic_ratio) in
-
-    let vect1_0 = p1 - p0 in
-    let vect2_0 = p2 - p0 in
-
-    let d1 = norm vect1_0
-    and d2 = norm (p2 - p1) in
-    let t = d1 /. (d1 +. d2) in
-
-    let angle_1_0 = angle vect1_0
-    and angle_2_0 = angle vect2_0 in
-
-    (* get our e1-e2 distances *)
-    let angle = mod_float
-        (Gg.Float.two_pi
-         +. angle_2_0
-         -. angle_1_0)
-        Gg.Float.two_pi in
-
-    let distance = (norm vect2_0) *. f in
-
-    let bc =
-      if angle < 0. || angle > Gg.Float.pi then
-        Float.(neg distance)
-      else
-        distance in
-    let de1  = t *. bc
-    and de2 = (1. -. t) *. bc in
-
-    (* get the circle-aligned slope as normalized dx/dy *)
-    let center = Utils.center p0 p1 p2 in
-    match center with
-    | None -> raise Not_found
-    | Some center ->
-      let t' = p1 - center in
-      let tangent0 = v
-          ((x p1) -. (y t'))
-          ((y p1) +. (x t'))
-      and tangent1 = v
-          ((x p1) +. (y t'))
-          ((y p1) -. (x t')) in
-
-      let d = unit (tangent1 - tangent0) in
-
-      (* then set up an e1 and e2 parallel to the baseline *)
-      let e1 = p1 + de1 * d
-      and e2 = p1 - de2 * d in
-
-      (* then use those e1/e2 to derive the new hull coordinates *)
-      let v1 = a + (e1 - a) / (1. -. t)
-      and v2 = a + (e2 - a) / t in
-
-      let ctrl0 = p0 + (v1 - p0) / t
-      and ctrl1 = p2 + (v2 -p2) / (1. -. t) in
-
-      {p0; p1 = p2; ctrl0; ctrl1}
-
-(** Split a bezier curve in two at a given position *)
-let slice
-  : float -> t -> t * t
-  = fun t {p0; p1; ctrl0; ctrl1} ->
-
-    let mix p1 p2 = Gg.V2.mix p1 p2 t in
-
-    let p12 = mix p0 ctrl0
-    and p23 = mix ctrl0 ctrl1
-    and p34 = mix ctrl1 p1 in
-
-    let p123 = mix p12 p23
-    and p234 = mix p23 p34 in
-
-    let p1234 = mix p123 p234 in
-
-    ( { p0
-      ; ctrl0 = p12
-      ; ctrl1 = p123
-      ; p1 = p1234 }
-    , { p0 = p1234
-      ; ctrl0 = p234
-      ; ctrl1 = p34
-      ; p1 } )
-
-
-let rec get_closest_point
-  : Gg.v2 -> t -> Gg.v2
-  = fun point t ->
-    (* First devide the curve in two *)
-    let seq_0, seq_1 = slice 0.5 t in
-
-    let p0 = t.p0
-    and p1 = t.p1
-    and p01 = seq_0.p1 in (* seq_0.p1 = seq_1.p0 *)
-
-    let open Gg.V2 in
-    let center0 = mix p0 p01 0.5
-    and center1 = mix p01 p1 0.5 in
-
-    if Tools.Utils.equal_point 0.001 p0 p1 then
-      p01
-    else if (norm (point - center0)) < (norm (point - center1)) then
-      get_closest_point point seq_0
-    else
-      get_closest_point point seq_1
-
-let reverse
-  : t -> t
-  = fun bezier ->
-    {
-      p0 = bezier.p1
-    ; p1 = bezier.p0
-    ; ctrl0 = bezier.ctrl1
-    ; ctrl1 = bezier.ctrl0 }
-- 
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