5 files changed, 229 insertions, 0 deletions
diff --git a/calculette_aoo/lib/build.ml b/calculette_aoo/lib/build.ml
new file mode 100644
index 0000000..ddefe67
--- /dev/null
+++ b/calculette_aoo/lib/build.ml
@@ -0,0 +1,135 @@
+type build = {
+    a : Carac.t
+  ; m : Carac.t
+  ; rm : Carac.t
+  ; pm : Carac.t
+  ; fm : Carac.t
+}
+
+type env = {
+    cout_sort : int
+  ; degat_sort : int
+  ; max_tours : float
+  ; fm_oponent : int
+  ; cost_max : int
+  ; frequencies : (int * float) list
+}
+
+let roll_and_accumulate dices =
+  Seq.repeat () |> Seq.take dices
+  |> Seq.fold_left (fun res _ -> res + (1 + Random.int 3)) 0
+
+let delta_carac level thresold =
+  Seq.repeat () |> Seq.take 10000
+  |> Seq.fold_left
+       (fun acc _ ->
+         if roll_and_accumulate thresold > roll_and_accumulate level then acc
+         else acc + 1)
+       0
+
+let get_chance : env -> int -> float =
+ fun env delta ->
+  match List.assoc_opt delta env.frequencies with
+  | None -> 1.0
+  | Some v -> v
+
+(** Build a list with the differents percentages to hit *)
+let buil_freq_table from thresold =
+  let () = Random.self_init () in
+  List.init 6 (fun i ->
+      (from - thresold + i, float (delta_carac (from + i) thresold) /. 10000.))
+
+let eval : build -> env -> float * float =
+ fun { a; m; rm; pm; fm } env ->
+  let cout_tour = (Carac.value a * env.cout_sort) - Carac.value rm in
+  let nb_tour =
+    if cout_tour > 0 then
+      float (Carac.value pm) /. float cout_tour |> Float.min env.max_tours
+    else env.max_tours
+  in
+
+  let degats =
+    float (Carac.value a * (env.degat_sort + Carac.value m - 5))
+    *. get_chance env (Carac.value fm - env.fm_oponent)
+  in
+  (degats, nb_tour)
+
+let repr_degats : env -> Format.formatter -> build -> unit =
+ fun env out build ->
+  let delta = get_chance env (Carac.value build.fm - env.fm_oponent) in
+  Format.fprintf out "%d A × (%d du sorts + %d M - %d M) × %.2f %%"
+    (Carac.value build.a) env.degat_sort (Carac.value build.m) 5 (delta *. 100.);
+  let sum = env.degat_sort + Carac.value build.m - 5 in
+  let prod = Carac.value build.a * sum in
+  Format.fprintf out "@;%d A × %d = %d@;" (Carac.value build.a) sum prod;
+  Format.fprintf out "%d × %.2f = %.2f" prod delta (delta *. float prod);
+  ()
+
+let cost : build -> int =
+ fun { a; m; rm; pm; fm } ->
+  Carac.(cout a + cout m + cout rm + cout pm + cout fm)
+
+let repr : env -> Format.formatter -> build -> unit =
+ fun env formatter build ->
+  let degats, nb_tour = eval build env in
+
+  Format.fprintf formatter
+    {|Caractéristiques retenues :
+- A : %a
+- M : %a
+- FM: %a
+- RM: %a
+- PM: %a
+|}
+    Carac.repr build.a Carac.repr build.m Carac.repr build.fm Carac.repr
+    build.rm Carac.repr build.pm;
+  Format.fprintf formatter
+    "@[Le magicien fera %.2f degats par tour pour un total de %d sur %.2f \
+     tours@;\
+     (@[<v 2>%a@])@;"
+    degats
+    (int_of_float (nb_tour *. degats))
+    nb_tour (repr_degats env) build;
+  Format.fprintf formatter "Le cout de ce build est de %d@]@." (cost build)
+
+let score : env -> build -> float =
+ fun env build ->
+  let d, v = eval build env in
+  d *. v
+
+(* Upgrade each caracteristic and keep only the values in range *)
+let upgrade : env -> build -> build list =
+ fun env build ->
+  [
+    { build with a = Carac.incr build.a }
+  ; { build with m = Carac.incr build.m }
+  ; { build with rm = Carac.incr build.rm }
+  ; { build with pm = Carac.incr build.pm }
+  ; { build with pm = Carac.incr ~step:3 build.pm }
+  ; { build with pm = Carac.incr ~step:10 build.pm }
+  ; { build with fm = Carac.incr build.fm }
+  ]
+  |> List.filter (fun f -> cost f <= env.cost_max)
+
+let rec traverse env (last_cost, last_score) = function
+  | [] -> failwith "Invalid data"
+  | hd :: [] -> hd
+  | hd :: tl ->
+      let score' = score env hd and cost' = cost hd in
+      if cost' > last_cost && score' < last_score then
+        traverse env (last_cost, last_score) tl
+      else
+        (* Get the new elements to add and filter them if they do not provide
+           anything better *)
+        let new_builds =
+          upgrade env hd
+          |> List.filter (fun build ->
+                 List.for_all
+                   (fun element ->
+                     cost build > cost element
+                     || score env build > score env element)
+                   tl)
+        in
+
+        (* For each new element, remove all the obsolete builds *)
+        traverse env (cost', score') (List.rev_append tl new_builds)
diff --git a/calculette_aoo/lib/build.mli b/calculette_aoo/lib/build.mli
new file mode 100644
index 0000000..3e2e690
--- /dev/null
+++ b/calculette_aoo/lib/build.mli
@@ -0,0 +1,35 @@
+type build = {
+    a : Carac.t
+  ; m : Carac.t
+  ; rm : Carac.t
+  ; pm : Carac.t
+  ; fm : Carac.t
+}
+
+type env = {
+    cout_sort : int
+  ; degat_sort : int
+  ; max_tours : float
+  ; fm_oponent : int
+  ; cost_max : int
+  ; frequencies : (int * float) list
+}
+
+val buil_freq_table : int -> int -> (int * float) list
+(** Build a list with the differents percentages to hit *)
+
+val cost : build -> int
+(** Get the cost for a build *)
+
+val score : env -> build -> float
+(** Get the score for the build *)
+
+val traverse : env -> int * float -> build list -> build
+(** Test differents upgrade configuration and present the best one with the
+    constraints given in [env]. 
+
+    The costt for the upgrade will not exceed the property [env.cost_max] 
+    *)
+
+val upgrade : env -> build -> build list
+val repr : env -> Format.formatter -> build -> unit
diff --git a/calculette_aoo/lib/carac.ml b/calculette_aoo/lib/carac.ml
new file mode 100644
index 0000000..a48c734
--- /dev/null
+++ b/calculette_aoo/lib/carac.ml
@@ -0,0 +1,40 @@
+type cout_carac = int * int * int
+
+type t = {
+    value : int
+  ; couts : cout_carac
+  ; bonus : int
+}
+
+let create : ?bonus:int -> int -> cout_carac -> t =
+ fun ?(bonus = 0) value couts -> { value; couts; bonus }
+
+let incr ?(step = 1) t = { t with bonus = t.bonus + step }
+
+(*
+Evaluate the cost for the successives upgrades. 
+
+I’m pretty sure this can be transformed into a linear function, but I do not see how…  
+
+    c0 * t.bonus 
++   max 0 ((((t.bonus - 1) * 2) - 1) * c1)
++   ?
+
+ *)
+let cout : t -> int =
+ fun t ->
+  let c0, c1, c2 = t.couts in
+  let rec c acc t =
+    match t with
+    | 0 -> acc
+    | 1 -> acc + c0
+    | 2 -> c (acc + c0 + c1) (t - 1)
+    | 3 -> c (acc + c0 + (c1 * 2)) (t - 1)
+    | n -> c (acc + c0 + (c1 * 2) + ((n - 3) * c2)) (t - 1)
+  in
+  c 0 t.bonus
+
+let value t = t.value + t.bonus
+
+let repr : Format.formatter -> t -> unit =
+ fun out t -> Format.fprintf out "%d (+%d)" (value t) t.bonus
diff --git a/calculette_aoo/lib/carac.mli b/calculette_aoo/lib/carac.mli
new file mode 100644
index 0000000..f364c81
--- /dev/null
+++ b/calculette_aoo/lib/carac.mli
@@ -0,0 +1,17 @@
+type t
+type cout_carac = int * int * int
+
+val create : ?bonus:int -> int -> cout_carac -> t
+
+val cout : t -> int
+(** Get the cost for the upgrades for this property *)
+
+val value : t -> int
+(** Get the value (including upgrades) for this property *)
+
+val incr : ?step:int -> t -> t
+(** Increment this property. 
+    step is default 1.
+ *)
+
+val repr : Format.formatter -> t -> unit
diff --git a/calculette_aoo/lib/dune b/calculette_aoo/lib/dune
new file mode 100644
index 0000000..54b5a85
--- /dev/null
+++ b/calculette_aoo/lib/dune
@@ -0,0 +1,2 @@
+(library
+ (name aoo))