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- (**
- * The compiler sometimes generates variables of the form foo$$1, to make sure
- * that expressions are only executed once. In many cases, this leads to
- * over-complex constructions, for example when converting for-loops to
- * while-loops. We use the knowledge of these variables being constant by
- * propagation the constant values to their occurrences, and then apply
- * arithmetic simplification to operators to reduce the size and complexity of
- * the generated code. Note that this can only be applied to constants. For
- * variables in general, some form of liveness analysis would be required (e.g.
- * Static Single Assignment form). Expressions can only be propagated when they
- * have no side effects, i.e. when they do not contain function calls.
- *
- * Constant propagation is merged with some some arithmetic simplification here,
- * specifically targeting optimization oppertunities created bij earlier
- * constant propagation. This is utilized, for example, in array index
- * calculation when array dimensions are constant.
- *)
- open Types
- open Util
- let is_const_name name =
- Str.string_match (Str.regexp "^.+\\$\\$[0-9]+$") name 0
- let is_const = function Const _ -> true | _ -> false
- (* Play-it-safe side effect analysis: only return true for variables and
- * constants, since these are targeted in arithmetic simplification (in
- * particular targeting array indices that can be simplified after array
- * dimension reduction). *)
- let no_side_effect = function
- | VarUse _ | Const _ | Var _ -> true
- | _ -> false
- (* Constand folding *)
- let eval = function
- (* Binop - arithmetic *)
- | Binop (Add, Const (IntVal left, _), Const (IntVal right, _), ann) ->
- Const (IntVal (left + right), ann)
- | Binop (Add, Const (FloatVal left, _), Const (FloatVal right, _), ann) ->
- Const (FloatVal (left +. right), ann)
- | Binop (Sub, Const (IntVal left, _), Const (IntVal right, _), ann) ->
- Const (IntVal (left - right), ann)
- | Binop (Sub, Const (FloatVal left, _), Const (FloatVal right, _), ann) ->
- Const (FloatVal (left -. right), ann)
- | Binop (Mul, Const (IntVal left, _), Const (IntVal right, _), ann) ->
- Const (IntVal (left * right), ann)
- | Binop (Mul, Const (FloatVal left, _), Const (FloatVal right, _), ann) ->
- Const (FloatVal (left *. right), ann)
- | Binop (Div, Const (IntVal left, _), Const (IntVal right, _), ann) when right != 0 ->
- Const (IntVal (left / right), ann)
- | Binop (Div, Const (FloatVal left, _), Const (FloatVal right, _), ann) ->
- Const (FloatVal (left /. right), ann)
- | Binop (Mod, Const (IntVal left, _), Const (IntVal right, _), ann) ->
- Const (IntVal (left mod right), ann)
- (* Binop - relational *)
- | Binop (Eq, Const (IntVal left, _), Const (IntVal right, _), ann) ->
- Const (BoolVal (left = right), ann)
- | Binop (Eq, Const (FloatVal left, _), Const (FloatVal right, _), ann) ->
- Const (BoolVal (left = right), ann)
- | Binop (Ne, Const (IntVal left, _), Const (IntVal right, _), ann) ->
- Const (BoolVal (left <> right), ann)
- | Binop (Ne, Const (FloatVal left, _), Const (FloatVal right, _), ann) ->
- Const (BoolVal (left <> right), ann)
- | Binop (Gt, Const (IntVal left, _), Const (IntVal right, _), ann) ->
- Const (BoolVal (left > right), ann)
- | Binop (Gt, Const (FloatVal left, _), Const (FloatVal right, _), ann) ->
- Const (BoolVal (left > right), ann)
- | Binop (Lt, Const (IntVal left, _), Const (IntVal right, _), ann) ->
- Const (BoolVal (left < right), ann)
- | Binop (Lt, Const (FloatVal left, _), Const (FloatVal right, _), ann) ->
- Const (BoolVal (left < right), ann)
- | Binop (Ge, Const (IntVal left, _), Const (IntVal right, _), ann) ->
- Const (BoolVal (left >= right), ann)
- | Binop (Ge, Const (FloatVal left, _), Const (FloatVal right, _), ann) ->
- Const (BoolVal (left >= right), ann)
- | Binop (Le, Const (IntVal left, _), Const (IntVal right, _), ann) ->
- Const (BoolVal (left <= right), ann)
- | Binop (Le, Const (FloatVal left, _), Const (FloatVal right, _), ann) ->
- Const (BoolVal (left <= right), ann)
- (* Binop - logical *)
- | Binop (And, Const (BoolVal left, _), Const (BoolVal right, _), ann) ->
- Const (BoolVal (left && right), ann)
- | Binop (Or, Const (BoolVal left, _), Const (BoolVal right, _), ann) ->
- Const (BoolVal (left || right), ann)
- (* Monary operations *)
- | Monop (Not, Const (BoolVal value, _), ann) -> Const (BoolVal (not value), ann)
- | Monop (Neg, Const (IntVal value, _), ann) -> Const (IntVal (-value), ann)
- | Monop (Neg, Const (FloatVal value, _), ann) -> Const (FloatVal (-.value), ann)
- (* 0 * a --> 0 *)
- | Binop (Mul, Const (IntVal 0, _), other, ann)
- | Binop (Mul, other, Const (IntVal 0, _), ann) when no_side_effect other ->
- Const (IntVal 0, ann)
- (* 0 + a --> a *)
- | Binop (Add, Const (IntVal 0, _), other, _)
- | Binop (Add, other, Const (IntVal 0, _), _) ->
- other
- (* 1 * a --> a *)
- | Binop (Mul, Const (IntVal 1, _), other, _)
- | Binop (Mul, other, Const (IntVal 1, _), _) ->
- other
- (* true|false ? texp : fexp --> texp|fexp*)
- | Cond (Const (BoolVal value, _), texp, fexp, _) ->
- if value then texp else fexp
- | node -> node
- let rec propagate consts node =
- let propagate = propagate consts in
- match node with
- (* Constant assignments are added to constants table *)
- | Assign (name, None, value, ann) when is_const_name name ->
- let value = propagate value in
- if is_const value then begin
- Hashtbl.add consts name value;
- DummyNode
- end else
- Assign (name, None, value, ann)
- | VarLet (dec, None, value, ann) when is_const_name (nameof dec) ->
- let value = propagate value in
- if is_const value then begin
- Hashtbl.add consts (nameof dec) value;
- DummyNode
- end else
- VarLet (dec, None, value, ann)
- (* Variables that are in the constant table are replaced with their constant
- * value *)
- | Var (name, None, ann) when Hashtbl.mem consts name ->
- Hashtbl.find consts name
- | VarUse (dec, None, ann) when Hashtbl.mem consts (nameof dec) ->
- Hashtbl.find consts (nameof dec)
- | Dim (name, ann) when Hashtbl.mem consts name ->
- Hashtbl.find consts name
- (* Apply arithmetic simplification to constant operands *)
- | Monop (op, opnd, ann) ->
- eval (Monop (op, propagate opnd, ann))
- | Binop (op, left, right, ann) ->
- eval (Binop (op, propagate left, propagate right, ann))
- | Cond (cond, texp, fexp, ann) ->
- eval (Cond (propagate cond, propagate texp, propagate fexp, ann))
- | TypeCast (ctype, value, ann) ->
- let value = propagate value in
- begin match (ctype, value) with
- | (Bool, Const (BoolVal value, _)) -> Const (BoolVal value, ann)
- | (Bool, Const (IntVal value, _)) -> Const (BoolVal (value != 1), ann)
- | (Bool, Const (FloatVal value, _)) -> Const (BoolVal (value != 1.0), ann)
- | (Int, Const (BoolVal value, _)) -> Const (IntVal (if value then 1 else 0), ann)
- | (Int, Const (IntVal value, _)) -> Const (IntVal value, ann)
- | (Int, Const (FloatVal value, _)) -> Const (IntVal (int_of_float value), ann)
- | (Float, Const (BoolVal value, _)) -> Const (FloatVal (if value then 1. else 0.), ann)
- | (Float, Const (IntVal value, _)) -> Const (FloatVal (float_of_int value), ann)
- | (Float, Const (FloatVal value, _)) -> Const (FloatVal value, ann)
- | _ -> TypeCast (ctype, value, ann)
- end
- | _ -> transform_children propagate node
- let rec prune_vardecs consts = function
- | VarDec (_, name, _, _) when Hashtbl.mem consts name -> DummyNode
- | node -> transform_children (prune_vardecs consts) node
- let propagate_consts node =
- let consts = Hashtbl.create 32 in
- let node = propagate consts node in
- prune_vardecs consts node
- let phase = function
- | Ast node -> Ast (propagate_consts node)
- | _ -> raise (InvalidInput "constant propagation")
|