(** Translation from Csharpminor to Cminor. *) Require Import FSets. Require FSetAVL. Require Import Coqlib. Require Import Errors. Require Import Maps. Require Import Ordered. Require Import AST. Require Import Integers. Require Mem. Require Import Csharpminor. Require Import Op. Require Import Cminor. Open Local Scope string_scope. Open Local Scope error_monad_scope. (** The main task in translating Csharpminor to Cminor is to explicitly stack-allocate local variables whose address is taken: these local variables become sub-blocks of the Cminor stack data block for the current function. Taking the address of such a variable becomes a [Oaddrstack] operation with the corresponding offset. Accessing or assigning such a variable becomes a load or store operation at that address. Only scalar local variables whose address is never taken in the Csharpminor code can be mapped to Cminor local variable, since the latter do not reside in memory. Other tasks performed during the translation to Cminor: - Transformation of Csharpminor's standard set of operators and trivial addressing modes to Cminor's processor-dependent operators and addressing modes. This is done using the optimizing Cminor constructor functions provided in file [Cmconstr], therefore performing instruction selection on the fly. - Insertion of truncation, zero- and sign-extension operations when assigning to a Csharpminor local variable of ``small'' type (e.g. [Mfloat32] or [Mint8signed]). This is necessary to preserve the ``normalize at assignment-time'' semantics of Csharpminor. *) (** Translation of constants. *) Definition transl_constant (cst: Csharpminor.constant): constant := match cst with | Csharpminor.Ointconst n => Ointconst n | Csharpminor.Ofloatconst n => Ofloatconst n end. (** [make_cast chunk e] returns a Cminor expression that normalizes the value of Cminor expression [e] as prescribed by the memory chunk [chunk]. For instance, 8-bit sign extension is performed if [chunk] is [Mint8signed]. *) Definition make_cast (chunk: memory_chunk) (e: expr): expr := match chunk with | Mint8signed => Eunop Ocast8signed e | Mint8unsigned => Eunop Ocast8unsigned e | Mint16signed => Eunop Ocast16signed e | Mint16unsigned => Eunop Ocast16unsigned e | Mint32 => e | Mfloat32 => Eunop Osingleoffloat e | Mfloat64 => e end. Definition store_arg (chunk: memory_chunk) (e: expr) : expr := match e with | Eunop Ocast8signed e1 => match chunk with Mint8signed => e1 | _ => e end | Eunop Ocast8unsigned e1 => match chunk with Mint8unsigned => e1 | _ => e end | Eunop Ocast16signed e1 => match chunk with Mint16signed => e1 | _ => e end | Eunop Ocast16unsigned e1 => match chunk with Mint16unsigned => e1 | _ => e end | Eunop Osingleoffloat e1 => match chunk with Mfloat32 => e1 | _ => e end | _ => e end. Definition make_store (chunk: memory_chunk) (e1 e2: expr): stmt := Sexpr (Estore chunk e1 (store_arg chunk e2)). Definition make_stackaddr (ofs: Z): expr := Econst (Oaddrstack (Int.repr ofs)). Definition make_globaladdr (id: ident): expr := Econst (Oaddrsymbol id Int.zero). (** Compile-time information attached to each Csharpminor variable: global variables, local variables, function parameters. [Var_local] denotes a scalar local variable whose address is not taken; it will be translated to a Cminor local variable of the same name. [Var_stack_scalar] and [Var_stack_array] denote local variables that are stored as sub-blocks of the Cminor stack data block. [Var_global_scalar] and [Var_global_array] denote global variables, stored in the global symbols with the same names. *) Inductive var_info: Set := | Var_local: memory_chunk -> var_info | Var_stack_scalar: memory_chunk -> Z -> var_info | Var_stack_array: Z -> var_info | Var_global_scalar: memory_chunk -> var_info | Var_global_array: var_info. Definition compilenv := PMap.t var_info. (** Generation of Cminor code corresponding to accesses to Csharpminor local variables: reads, assignments, and taking the address of. *) Definition var_get (cenv: compilenv) (id: ident): res expr := match PMap.get id cenv with | Var_local chunk => OK(Evar id) | Var_stack_scalar chunk ofs => OK(Eload chunk (make_stackaddr ofs)) | Var_global_scalar chunk => OK(Eload chunk (make_globaladdr id)) | _ => Error(msg "Cminorgen.var_get") end. Definition var_set (cenv: compilenv) (id: ident) (rhs: expr): res stmt := match PMap.get id cenv with | Var_local chunk => OK(Sassign id (make_cast chunk rhs)) | Var_stack_scalar chunk ofs => OK(make_store chunk (make_stackaddr ofs) rhs) | Var_global_scalar chunk => OK(make_store chunk (make_globaladdr id) rhs) | _ => Error(msg "Cminorgen.var_set") end. Definition var_addr (cenv: compilenv) (id: ident): res expr := match PMap.get id cenv with | Var_local chunk => Error(msg "Cminorgen.var_addr") | Var_stack_scalar chunk ofs => OK (make_stackaddr ofs) | Var_stack_array ofs => OK (make_stackaddr ofs) | _ => OK (make_globaladdr id) end. (** Translation of expressions. All the hard work is done by the [make_*] and [var_*] functions defined above. *) Fixpoint transl_expr (cenv: compilenv) (e: Csharpminor.expr) {struct e}: res expr := match e with | Csharpminor.Evar id => var_get cenv id | Csharpminor.Eaddrof id => var_addr cenv id | Csharpminor.Econst cst => OK (Econst (transl_constant cst)) | Csharpminor.Eunop op e1 => do te1 <- transl_expr cenv e1; OK (Eunop op te1) | Csharpminor.Ebinop op e1 e2 => do te1 <- transl_expr cenv e1; do te2 <- transl_expr cenv e2; OK (Ebinop op te1 te2) | Csharpminor.Eload chunk e => do te <- transl_expr cenv e; OK (Eload chunk te) | Csharpminor.Ecall sig e el => do te <- transl_expr cenv e; do tel <- transl_exprlist cenv el; OK (Ecall sig te tel) | Csharpminor.Econdition e1 e2 e3 => do te1 <- transl_expr cenv e1; do te2 <- transl_expr cenv e2; do te3 <- transl_expr cenv e3; OK (Econdition te1 te2 te3) | Csharpminor.Elet e1 e2 => do te1 <- transl_expr cenv e1; do te2 <- transl_expr cenv e2; OK (Elet te1 te2) | Csharpminor.Eletvar n => OK (Eletvar n) | Csharpminor.Ealloc e => do te <- transl_expr cenv e; OK (Ealloc te) end with transl_exprlist (cenv: compilenv) (el: Csharpminor.exprlist) {struct el}: res exprlist := match el with | Csharpminor.Enil => OK Enil | Csharpminor.Econs e1 e2 => do te1 <- transl_expr cenv e1; do te2 <- transl_exprlist cenv e2; OK (Econs te1 te2) end. (** Translation of statements. Entirely straightforward. *) Fixpoint transl_stmt (cenv: compilenv) (s: Csharpminor.stmt) {struct s}: res stmt := match s with | Csharpminor.Sskip => OK Sskip | Csharpminor.Sexpr e => do te <- transl_expr cenv e; OK(Sexpr te) | Csharpminor.Sassign id e => do te <- transl_expr cenv e; var_set cenv id te | Csharpminor.Sstore chunk e1 e2 => do te1 <- transl_expr cenv e1; do te2 <- transl_expr cenv e2; OK (make_store chunk te1 te2) | Csharpminor.Sseq s1 s2 => do ts1 <- transl_stmt cenv s1; do ts2 <- transl_stmt cenv s2; OK (Sseq ts1 ts2) | Csharpminor.Sifthenelse e s1 s2 => do te <- transl_expr cenv e; do ts1 <- transl_stmt cenv s1; do ts2 <- transl_stmt cenv s2; OK (Sifthenelse te ts1 ts2) | Csharpminor.Sloop s => do ts <- transl_stmt cenv s; OK (Sloop ts) | Csharpminor.Sblock s => do ts <- transl_stmt cenv s; OK (Sblock ts) | Csharpminor.Sexit n => OK (Sexit n) | Csharpminor.Sswitch e cases default => do te <- transl_expr cenv e; OK(Sswitch te cases default) | Csharpminor.Sreturn None => OK (Sreturn None) | Csharpminor.Sreturn (Some e) => do te <- transl_expr cenv e; OK (Sreturn (Some te)) end. (** Computation of the set of variables whose address is taken in a piece of Csharpminor code. *) Module Identset := FSetAVL.Make(OrderedPositive). Fixpoint addr_taken_expr (e: Csharpminor.expr): Identset.t := match e with | Csharpminor.Evar id => Identset.empty | Csharpminor.Eaddrof id => Identset.add id Identset.empty | Csharpminor.Econst cst => Identset.empty | Csharpminor.Eunop op e1 => addr_taken_expr e1 | Csharpminor.Ebinop op e1 e2 => Identset.union (addr_taken_expr e1) (addr_taken_expr e2) | Csharpminor.Eload chunk e => addr_taken_expr e | Csharpminor.Ecall sig e el => Identset.union (addr_taken_expr e) (addr_taken_exprlist el) | Csharpminor.Econdition e1 e2 e3 => Identset.union (addr_taken_expr e1) (Identset.union (addr_taken_expr e2) (addr_taken_expr e3)) | Csharpminor.Elet e1 e2 => Identset.union (addr_taken_expr e1) (addr_taken_expr e2) | Csharpminor.Eletvar n => Identset.empty | Csharpminor.Ealloc e => addr_taken_expr e end with addr_taken_exprlist (e: Csharpminor.exprlist): Identset.t := match e with | Csharpminor.Enil => Identset.empty | Csharpminor.Econs e1 e2 => Identset.union (addr_taken_expr e1) (addr_taken_exprlist e2) end. Fixpoint addr_taken_stmt (s: Csharpminor.stmt): Identset.t := match s with | Csharpminor.Sskip => Identset.empty | Csharpminor.Sexpr e => addr_taken_expr e | Csharpminor.Sassign id e => addr_taken_expr e | Csharpminor.Sstore chunk e1 e2 => Identset.union (addr_taken_expr e1) (addr_taken_expr e2) | Csharpminor.Sseq s1 s2 => Identset.union (addr_taken_stmt s1) (addr_taken_stmt s2) | Csharpminor.Sifthenelse e s1 s2 => Identset.union (addr_taken_expr e) (Identset.union (addr_taken_stmt s1) (addr_taken_stmt s2)) | Csharpminor.Sloop s => addr_taken_stmt s | Csharpminor.Sblock s => addr_taken_stmt s | Csharpminor.Sexit n => Identset.empty | Csharpminor.Sswitch e cases default => addr_taken_expr e | Csharpminor.Sreturn None => Identset.empty | Csharpminor.Sreturn (Some e) => addr_taken_expr e end. (** Layout of the Cminor stack data block and construction of the compilation environment. Csharpminor local variables that are arrays or whose address is taken are allocated a slot in the Cminor stack data. While this is not important for correctness, sufficient padding is inserted to ensure adequate alignment of addresses. *) Definition assign_variable (atk: Identset.t) (id_lv: ident * var_kind) (cenv_stacksize: compilenv * Z) : compilenv * Z := let (cenv, stacksize) := cenv_stacksize in match id_lv with | (id, Varray sz) => let ofs := align stacksize 8 in (PMap.set id (Var_stack_array ofs) cenv, ofs + Zmax 0 sz) | (id, Vscalar chunk) => if Identset.mem id atk then let sz := Mem.size_chunk chunk in let ofs := align stacksize sz in (PMap.set id (Var_stack_scalar chunk ofs) cenv, ofs + sz) else (PMap.set id (Var_local chunk) cenv, stacksize) end. Fixpoint assign_variables (atk: Identset.t) (id_lv_list: list (ident * var_kind)) (cenv_stacksize: compilenv * Z) {struct id_lv_list}: compilenv * Z := match id_lv_list with | nil => cenv_stacksize | id_lv :: rem => assign_variables atk rem (assign_variable atk id_lv cenv_stacksize) end. Definition build_compilenv (globenv: compilenv) (f: Csharpminor.function) : compilenv * Z := assign_variables (addr_taken_stmt f.(Csharpminor.fn_body)) (fn_variables f) (globenv, 0). Definition assign_global_variable (ce: compilenv) (info: ident * list init_data * var_kind) : compilenv := match info with | (id, _, Vscalar chunk) => PMap.set id (Var_global_scalar chunk) ce | (id, _, Varray _) => PMap.set id Var_global_array ce end. Definition build_global_compilenv (p: Csharpminor.program) : compilenv := List.fold_left assign_global_variable p.(prog_vars) (PMap.init Var_global_array). (** Function parameters whose address is taken must be stored in their stack slots at function entry. (Cminor passes these parameters in local variables.) *) Fixpoint store_parameters (cenv: compilenv) (params: list (ident * memory_chunk)) {struct params} : stmt := match params with | nil => Sskip | (id, chunk) :: rem => match PMap.get id cenv with | Var_local chunk => Sseq (Sassign id (make_cast chunk (Evar id))) (store_parameters cenv rem) | Var_stack_scalar chunk ofs => Sseq (make_store chunk (make_stackaddr ofs) (Evar id)) (store_parameters cenv rem) | _ => Sskip (* should never happen *) end end. (** Translation of a Csharpminor function. We must check that the required Cminor stack block is no bigger than [Int.max_signed], otherwise address computations within the stack block could overflow machine arithmetic and lead to incorrect code. *) Definition transl_function (gce: compilenv) (f: Csharpminor.function): res function := let (cenv, stacksize) := build_compilenv gce f in if zle stacksize Int.max_signed then do tbody <- transl_stmt cenv f.(Csharpminor.fn_body); OK (mkfunction (Csharpminor.fn_sig f) (Csharpminor.fn_params_names f) (Csharpminor.fn_vars_names f) stacksize (Sseq (store_parameters cenv f.(Csharpminor.fn_params)) tbody)) else Error(msg "Cminorgen: too many local variables, stack size exceeded"). Definition transl_fundef (gce: compilenv) (f: Csharpminor.fundef): res fundef := transf_partial_fundef (transl_function gce) f. Definition transl_globvar (vk: var_kind) := OK tt. Definition transl_program (p: Csharpminor.program) : res program := let gce := build_global_compilenv p in transform_partial_program2 (transl_fundef gce) transl_globvar p.