feat (exm): sincos example
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6 changed files with 87 additions and 58 deletions
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@ -52,3 +52,7 @@ let bouncing_ball () =
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horizon = (fun _ -> max_float);
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cset; cget; zset; reset; jump; zsize }
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let errmsg = "Too many arguments for the model (needed: 0)"
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let bouncing_ball = function
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| [] -> bouncing_ball ()
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| _ -> raise (Invalid_argument errmsg)
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44
exm/sincos.ml
Normal file
44
exm/sincos.ml
Normal file
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@ -0,0 +1,44 @@
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open Hsim.Types
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open Solvers.Zls
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let of_array a = Bigarray.Array1.of_array Bigarray.Float64 Bigarray.c_layout a
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type state = { si : bool; sx : carray }
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let yd = cmake 3
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let zout = cmake 1
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let zsize = 1
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let fzer _ _ _ = zout
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let fout _ _ y = of_array [| y.{0}; y.{1}; y.{2} |]
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let cget s = s.sx
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let cset s lx = { s with sx = lx }
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let zset s _ = s
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let jump _ = true
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let horizon _ = max_float
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let sinus_cosinus theta0 omega =
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let sin0 = Float.sin theta0 in
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let cos0 = Float.cos theta0 in
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let fder _ _ y =
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yd.{0} <- omega *. y.{1}; yd.{1} <- -.omega *. y.{0}; yd.{2} <- 1.0; yd in
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let step { si; sx } _ =
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let sx = if si then of_array [| sin0; cos0; 0.0 |] else sx in
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of_array [| sx.{0}; sx.{1}; sx.{2} |], { sx; si = false } in
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let state = { sx = of_array [| sin0; cos0; 0.0 |]; si = true } in
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let reset _ _ = state in
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HNode {
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state; fder; fzer; fout; step; horizon; cset; cget; zset; zsize; reset; jump
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}
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let errmsg_invalid = "Invalid arguments to model (needed: 2 floats)"
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let errmsg_few = "Too few arguments to model (needed: 2 floats)"
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let errmsg_many = "Too many arguments to model (needed: 2 floats)"
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let sinus_cosinus = function
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| [t0; om] ->
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let t0, om = try float_of_string t0, float_of_string om
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with Failure _ -> raise (Invalid_argument errmsg_invalid) in
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sinus_cosinus t0 om
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| [] | [_] -> raise (Invalid_argument errmsg_few)
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| _ -> raise (Invalid_argument errmsg_many)
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66
exm/vdp.ml
66
exm/vdp.ml
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@ -1,59 +1,43 @@
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open Hsim.Types
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open Solvers
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open Solvers.Zls
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let of_array a = Bigarray.Array1.of_array Bigarray.Float64 Bigarray.c_layout a
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let of_array a : carray =
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Bigarray.Array1.of_array Bigarray.Float64 Bigarray.c_layout a
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type state = { lx : Zls.carray; i : bool }
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type state = { lx : carray; i : bool }
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let mu = 5.0
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let x0 = 1.0
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let y0 = 1.0
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let fder _ y yd =
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yd.{0} <- y.{1}; yd.{1} <- (mu *. (1.0 -. (y.{0} *. y.{0})) *. y.{1}) -. y.{0}
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let fzero _ _ _ = ()
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let fout _ y = of_array [| y.{0}; y.{1} |]
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let zsize = 1
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let yd = cmake 2
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let zout = cmake 1
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let fder _ _ y =
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yd.{0} <- y.{1};
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yd.{1} <- (mu *. (1.0 -. (y.{0} *. y.{0})) *. y.{1}) -. y.{0};
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yd
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let fzer _ _ _ = zout
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let fout _ _ y = of_array [| y.{0}; y.{1} |]
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let step { i; lx } _ =
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let lx = if i then of_array [| x0; y0 |] else lx in
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of_array [| lx.{0}; lx.{1} |], { lx; i = false }
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let cget s = s.lx
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let cset s lx = { s with lx }
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let zset s _ = s
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let yd = Zls.cmake 2
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let zout = Zls.cmake 1
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let zsize = 1
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let s_init = { lx = of_array [| x0; y0 |]; i = true }
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let reset _ _ = s_init
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let state = { lx = of_array [| x0; y0 |]; i = true }
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let reset _ _ = state
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let jump _ = true
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let horizon _ = max_float
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let van_der_pol () =
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HNode { state = s_init;
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fder = (fun _ _ y -> fder 0.0 y yd; yd);
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fzer = (fun _ _ y -> fzero 0.0 y zout; zout);
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fout = (fun s _ y -> fout s y);
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step;
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horizon = (fun _ -> max_float);
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cset; cget; zset; zsize; reset; jump }
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let van_der_pol () = HNode {
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state; fder; fzer; fout; step; reset; horizon; jump; cset; cget; zset; zsize
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}
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let errmsg = "Too many arguments for the model (needed: 0)"
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let van_der_pol = function
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| [] -> van_der_pol ()
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| _ -> raise (Invalid_argument errmsg)
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(* let van_der_pol_prop_record () = *)
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(* let s_init = *)
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(* { lx = of_array [| x0; y0 |]; i = true } in *)
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(* { name = "van_der_pol_prop"; *)
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(* s = s_init; *)
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(* fder = (fun s a y -> fder 0.0 y yd; yd); *)
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(* fzero = (fun s a y -> fzero 0.0 y zout; zout); *)
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(* fout = (fun s { lx } y -> 1.0 /. (abs_float (s.lx.{0} -. lx.{0}))); *)
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(* fstep = (fun s { lx } -> *)
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(* let v, s = fstep s () in *)
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(* s.lx.{0} -. lx.{0}, s); *)
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(* horizon = (fun s -> max_float); *)
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(* cset; cget; zset; csize; zsize; reset; jump } *)
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(* let van_der_pol_with_assert () = *)
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(* Fun_hybrid *)
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(* { body = van_der_pol_record (); *)
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(* assertions = *)
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(* [Fun_hybrid { body = *)
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(* van_der_pol_prop_record (); *)
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(* assertions = [] }] } *)
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@ -14,10 +14,11 @@ let model = ref ""
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let gt0i v i = v := if i <= 0 then 1 else i
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let gt0f v f = v := if f <= 0.0 then 1.0 else f
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let hasmodel = ref false
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let modelargs = ref []
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let set_model s =
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if !hasmodel then raise (Arg.Bad "Too many arguments.") else
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model := s; hasmodel := true
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if !hasmodel then modelargs := s :: !modelargs
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else model := s; hasmodel := true
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let opts = [
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"-sample", Arg.Int (gt0i sample), "n \tSample count (default=10)";
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@ -37,10 +38,13 @@ let output = Output.print !sample
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let c = StatefulRK45.(if !inplace then InPlace.csolve else Functional.csolve)
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let z = StatefulZ.(Functional.zsolve)
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let s = Solver.solver_c c z
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open Format
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let m = match !model with
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| "ball" -> Ball.bouncing_ball ()
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| "vdp" -> Vdp.van_der_pol ()
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| _ -> raise (Arg.Bad (Format.sprintf "Unknown model: %s." !model))
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| "ball" -> Ball.bouncing_ball
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| "vdp" -> Vdp.van_der_pol
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| "sincos" -> Sincos.sinus_cosinus
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| _ -> eprintf "Unknown model: %s\n" !model; exit 2
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let m = try m !modelargs with Invalid_argument s -> eprintf "%s\n" s; exit 2
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let state = if !inplace then (module State.InPlaceSimState : State.SimState)
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else (module State.FunctionalSimState : State.SimState)
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@ -1,7 +1,4 @@
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let debug = ref false
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let fmt () = if !debug then Format.std_formatter
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else Format.make_formatter (fun _ _ _ -> ()) (fun () -> ())
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let print = Format.fprintf (fmt ()) "%s"
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let print s = if !debug then Format.printf "%s\n" s else ()
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@ -82,8 +82,6 @@ module LazySim (S : SimState) =
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(** Run the model on multiple inputs. *)
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let run_on_n model solver inputs use =
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ignore @@ List.fold_left (fun (DNode sim) i ->
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Common.Debug.print
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(Format.sprintf "New input: %.10e\t%.10e\n" i.start i.length);
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let state = match sim.step sim.state (Some i) with
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| None, s -> s | _ -> assert false in
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let rec loop (DNode s) =
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@ -185,8 +183,6 @@ module GreedySim (S : SimState) =
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(** Run the model on multiple inputs. *)
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let run_on_n model solver inputs use =
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let o, _ = List.fold_left (fun (acc, DNode sim) i ->
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Common.Debug.print
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(Format.sprintf "new input: %.10e\t%.10e\n" i.start i.length);
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let o, state = sim.step sim.state i in
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o::acc, DNode { sim with state }) ([], run model solver) inputs in
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List.iter use (List.concat (List.rev o))
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