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SyntaxMacros.v
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SyntaxMacros.v
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(*! Frontend | Macros used in untyped programs !*)
Require Import Koika.Common Koika.Types Koika.Syntax Koika.TypedSyntax Koika.TypedSyntax Koika.Primitives.
Import PrimUntyped.
Section SyntaxMacros.
Context {pos_t var_t fn_name_t reg_t ext_fn_t: Type}.
Notation uaction := (uaction pos_t var_t fn_name_t reg_t ext_fn_t).
Definition bits_of_ascii c : bits 8 :=
match c with
| Ascii.Ascii b0 b1 b2 b3 b4 b5 b6 b7 =>
Ob~b7~b6~b5~b4~b3~b2~b1~b0
end.
Fixpoint array_of_bytes (s: string) : vect (bits 8) (String.length s) :=
match s with
| EmptyString => vect_nil
| String c s => vect_cons (bits_of_ascii c) (array_of_bytes s)
end.
Fixpoint uprogn (aa: list uaction) :=
match aa with
| [] => UConst (tau := bits_t 0) Ob
| [a] => a
| a :: aa => USeq a (uprogn aa)
end.
Definition uskip : uaction :=
UConst (tau := bits_t 0) Ob.
Definition uinit (tau: type) : uaction :=
let zeroes := UConst (tau := bits_t _) (Bits.zeroes (type_sz tau)) in
UUnop (UConv (UUnpack tau)) zeroes.
Definition ustruct_init (sig: struct_sig) (fields: list (string * uaction)) : uaction :=
let empty := SyntaxMacros.uinit (struct_t sig) in
let usubst f := UBinop (UStruct2 (USubstField f)) in
List.fold_left (fun acc '(f, a) => (usubst f) acc a) fields empty.
Fixpoint uswitch (var: uaction) (default: uaction)
(branches: list (uaction * uaction)) : uaction :=
match branches with
| nil => default
| (label, action) :: branches =>
UIf (UBinop (UEq false) var label) action (uswitch var default branches)
end.
Fixpoint uswitch_nodefault (var: uaction)
{nb} (branches: vect (uaction * uaction) (S nb)) : uaction :=
let '(label, action) := vect_hd branches in
match nb return vect _ (S nb) -> uaction with
| 0 => fun _ => action
| S nb => fun branches =>
UIf (UBinop (UEq false) var label) action
(uswitch_nodefault var (vect_tl branches))
end branches.
Definition gen_branches label_sz bound (branch_bodies: index bound -> uaction)
: vect (uaction * uaction) bound :=
let label_of_index idx := UConst (tau := bits_t _) (Bits.of_index label_sz idx) in
vect_map (fun idx => (label_of_index idx, branch_bodies idx))
(all_indices bound).
Fixpoint uswitch_stateful (var: uaction)
{nb} (branches: vect (uaction * uaction) nb) : uaction :=
match nb return vect _ nb -> uaction with
| 0 => fun _ => uskip
| S nb => fun branches =>
let '(label, action) := vect_hd branches in
USeq (UIf (UBinop (UEq false) var label)
action uskip)
(uswitch_stateful var (vect_tl branches))
end branches.
Fixpoint muxtree var_logsz bit_idx (var: var_t) {sz} (bodies: bits sz -> uaction) :=
match sz return (bits sz -> uaction) -> uaction with
| 0 =>
fun bodies =>
bodies Ob
| S n =>
fun bodies =>
(* FIXME add a version of sel taking a compile-time constant? *)
let bidx := UConst (tau := bits_t var_logsz) (Bits.of_nat var_logsz bit_idx) in
UIf (UBinop (UBits2 USel) (UVar var) bidx)
(muxtree var_logsz (S bit_idx) var (fun bs => bodies bs~1))
(muxtree var_logsz (S bit_idx) var (fun bs => bodies bs~0))
end bodies.
Definition UCompleteMuxTree sz
(var: var_t) (branch_bodies: bits sz -> uaction) :=
muxtree (log2 sz) 0 var branch_bodies.
Fixpoint ortree {sz} (bodies: bits sz -> uaction) :=
match sz return (bits sz -> uaction) -> uaction with
| 0 =>
fun bodies =>
bodies Ob
| S n =>
fun bodies =>
(UBinop (UBits2 UOr)
(ortree (fun bs => bodies bs~1))
(ortree (fun bs => bodies bs~0)))
end bodies.
Definition UCompleteOrTree sz nbits
(var: var_t) (branch_bodies: bits sz -> uaction) :=
ortree
(fun bs => UIf (UBinop (UEq false) (UConst (tau := bits_t sz) bs) (UVar var))
(branch_bodies bs)
(UConst (tau := bits_t nbits) Bits.zero)).
Inductive switch_style :=
| TreeSwitch
| OrTreeSwitch (nbits: nat)
| NestedSwitch
| SequentialSwitchTt
| SequentialSwitch (tau: type) (output_var: var_t).
Definition UCompleteSwitch (style: switch_style) sz
(var: var_t) (branch_bodies: index (pow2 sz) -> uaction) :=
let branches bodies :=
gen_branches sz (pow2 sz) bodies in
match style with
| TreeSwitch =>
UCompleteMuxTree sz var (fun bs => branch_bodies (Bits.to_index_safe bs))
| OrTreeSwitch nbits =>
UCompleteOrTree sz nbits var (fun bs => branch_bodies (Bits.to_index_safe bs))
| NestedSwitch =>
uswitch_nodefault (UVar var) (branches branch_bodies)
| SequentialSwitchTt =>
uswitch_stateful (UVar var) (branches branch_bodies)
| SequentialSwitch output_type output_var =>
let branch_bodies idx := UAssign output_var (branch_bodies idx) in
UBind output_var
(uinit output_type)
(USeq (uswitch_stateful (UVar var) (branches branch_bodies))
(UVar output_var))
end.
End SyntaxMacros.
Module Display.
Section Display.
Notation var_t := string (only parsing).
Notation fn_name_t := string (only parsing).
Context {pos_t reg_t ext_fn_t: Type}.
Notation uaction := (uaction pos_t var_t fn_name_t reg_t ext_fn_t).
Notation intfun := (UInternalFunction pos_t var_t fn_name_t reg_t ext_fn_t).
Inductive field : Type :=
| Str (s: string)
| Value (tau: type).
Definition empty_printer : intfun :=
{| uint_name := "print";
uint_argspec := [];
uint_retType := unit_t;
uint_body := USugar USkip |}.
Definition display_utf8 s : uaction :=
UUnop (UDisplay (UDisplayUtf8)) (USugar (UConstString s)).
Definition nl_printer : intfun :=
{| uint_name := "print_nl";
uint_argspec := [];
uint_retType := unit_t;
uint_body := display_utf8 "\n" |}.
Definition extend_printer f (offset: nat) (printer: intfun) : intfun :=
let opts :=
{| display_newline := false; display_strings := false; display_style := dFull |} in
let display_value arg :=
UUnop (UDisplay (UDisplayValue opts)) (UVar arg) in
match f with
| Str s =>
{| uint_name := printer.(uint_name);
uint_argspec := printer.(uint_argspec);
uint_retType := printer.(uint_retType);
uint_body := (USeq (display_utf8 s) printer.(uint_body)) |}
| Value tau =>
let arg := String.append "arg" (show offset) in
{| uint_name := printer.(uint_name);
uint_argspec := (arg, tau) :: printer.(uint_argspec);
uint_retType := unit_t;
uint_body := (USeq (display_value arg) printer.(uint_body)) |}
end.
Fixpoint make_printer (offset: nat) (fstring: list field) : intfun :=
match fstring with
| [] => empty_printer
| f :: fstring => extend_printer f offset (make_printer (S offset) fstring)
end.
Definition Printer (fstring: list field) :=
make_printer 0 fstring.
Example example :=
Eval compute in Printer [Str "x: "; Value (bits_t 16); Str "y: "; Value (bits_t 32)].
End Display.
End Display.
Require Import Koika.LoweredSyntax.
Section LoweredSyntaxMacros.
Context {pos_t var_t fn_name_t reg_t ext_fn_t: Type}.
Context {CR: reg_t -> nat}
{CSigma: ext_fn_t -> CExternalSignature}.
Notation action := (action pos_t var_t CR CSigma).
Fixpoint infix_action (infix: lsig) {sig sig': lsig} {tau} (a: action (sig ++ sig') tau)
: action (sig ++ infix ++ sig') tau.
Proof.
remember (sig ++ sig'); destruct a; subst.
- exact (Fail sz).
- exact (Var k (minfix infix m)).
- exact (Const cst).
- exact (Assign k (minfix infix m) (infix_action infix _ _ _ a)).
- exact (Seq (infix_action infix _ _ _ a1) (infix_action infix _ _ _ a2)).
- exact (Bind k (infix_action infix _ _ _ a1) (infix_action infix (_ :: sig) sig' _ a2)).
- exact (If (infix_action infix _ _ _ a1) (infix_action infix _ _ _ a2) (infix_action infix _ _ _ a3)).
- exact (Read port idx).
- exact (Write port idx (infix_action infix _ _ _ a)).
- exact (Unop fn (infix_action infix _ _ _ a)).
- exact (Binop fn (infix_action infix _ _ _ a1) (infix_action infix _ _ _ a2)).
- exact (ExternalCall fn (infix_action infix _ _ _ a)).
- exact (infix_action infix _ _ _ a).
Defined.
Definition prefix_action (prefix: lsig) {sig: lsig} {sz} (a: action sig sz)
: action (prefix ++ sig) sz :=
infix_action prefix (sig := []) a.
Definition suffix_action (suffix: lsig) {sig: lsig} {sz} (a: action sig sz)
: action (sig ++ suffix) sz.
Proof. rewrite <- (capp_nil_r suffix); apply infix_action; rewrite (capp_nil_r sig); exact a. Defined.
Definition lsig_of_tsig (sig: tsig var_t) : lsig :=
List.map (fun k_tau => type_sz (snd k_tau)) sig.
Fixpoint InternalCall'
{sz: nat}
{sig: lsig}
{fn_sig: lsig}
(args: context (fun sz => var_t * action sig sz)%type fn_sig)
(fn_body: action (fn_sig ++ sig) sz)
: action sig sz :=
match args in context _ fn_sig
return action (fn_sig ++ sig) sz ->
action sig sz with
| CtxEmpty =>
fun fn_body => fn_body
| CtxCons sz (k, v) tl =>
fun fn_body =>
let fn_body := Bind k (prefix_action _ v) fn_body in
InternalCall' tl fn_body
end fn_body.
Definition InternalCall
{sz: nat}
{sig: lsig}
{fn_sig: lsig}
(args: context (fun sz => var_t * action sig sz)%type fn_sig)
(fn_body: action fn_sig sz)
: action sig sz :=
InternalCall' args (suffix_action sig fn_body).
End LoweredSyntaxMacros.