hsim/exm/ball.ml

58 lines
1.8 KiB
OCaml

open Hsim.Types
open Solvers
(* let hybrid bouncing () = (x, y) where
rec der y = y' init y0
and der y' = -g init y'0
and der x = x' init x0
and der x' = .0 init x'0 *)
let of_array = Bigarray.Array1.of_array Bigarray.Float64 Bigarray.c_layout
type state =
{ zin : Zls.zarray;
lx : Zls.carray; (* [h';h;x';x] *)
i : bool }
let g = -9.81
let y0 = 50.0
let y'0 = 0.0
let x0 = 0.0
let x'0 = 1.0
let bouncing_ball () =
let zfalse = Zls.zmake 1 in
let fder _ (y: Zls.carray) (yd: Zls.carray) =
if true (* y.{1} >= 0.0 *) then
begin yd.{0} <- g; yd.{1} <- y.{0}; yd.{2} <- 0.0; yd.{3} <- y.{2} end
else
begin yd.{0} <- 0.0; yd.{1} <- 0.0; yd.{2} <- 0.0; yd.{3} <- 0.0 end in
let fzer _ (y: Zls.carray) (zout: Zls.carray) = zout.{0} <- -. y.{1} in
let fout _ (y: Zls.carray): Zls.carray = of_array [| y.{1} |] in
let step ({ zin; lx; _ } as s) _ : Zls.carray * state =
let lx = if zin.{0} = 1l then
of_array [| -. 0.8 *. lx.{0}; 0.0; lx.{2}; lx.{3} |] else lx in
of_array [| s.lx.{1} |], { zin = zfalse; lx; i = false } in
let cget s = s.lx in
let cset s lx = { s with lx } in
let zset s zin = { s with zin } in
let yd = Zls.cmake 4 in
let zout = Zls.cmake 1 in
let state = { zin = zfalse; lx = of_array [|y'0;y0;x'0;x0|]; i = true } in
let reset _ _ = state in
let jump _ = true in
let zsize = 1 in
HNode
{ state = state;
fder = (fun _ _ y -> fder 0.0 y yd; yd);
fzer = (fun _ _ y -> fzer 0.0 y zout; zout);
fout = (fun s _ y -> fout s y);
step;
horizon = (fun _ -> max_float);
cset; cget; zset; reset; jump; zsize }
let errmsg = "Too many arguments for the model (needed: 0)"
let bouncing_ball = function
| [] -> bouncing_ball ()
| _ -> raise (Invalid_argument errmsg)