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(** Copyright 2025-2026, Victoria Ostrovskaya & Danil Usoltsev *)
(** SPDX-License-Identifier: LGPL-3.0-or-later *)
open Architecture
open Riscv_backend
let is_small_addi_imm imm = imm >= -2048 && imm <= 2047
let write_reg = function
| Addi (rd, _, _)
| Ld (rd, _)
| Mv (rd, _)
| Li (rd, _)
| Add (rd, _, _)
| Sub (rd, _, _)
| La (rd, _)
| Slt (rd, _, _)
| Seqz (rd, _)
| Snez (rd, _)
| Xori (rd, _, _)
| Xor (rd, _, _)
| Mul (rd, _, _)
| Div (rd, _, _)
| Slli (rd, _, _)
| Srli (rd, _, _) -> Some rd
| Sd _ | Call _ | Ret | Beq _ | J _ | Label _ -> None
;;
let reads_reg instruction reg =
let same register = equal_reg register reg in
match instruction with
| Addi (_, rs, _)
| Mv (_, rs)
| Seqz (_, rs)
| Snez (_, rs)
| Xori (_, rs, _)
| Srli (_, rs, _)
| Slli (_, rs, _) -> same rs
| Sd (rs, (base, _)) -> same rs || same base
| Ld (_, (base, _)) -> same base
| Add (_, rs1, rs2)
| Sub (_, rs1, rs2)
| Slt (_, rs1, rs2)
| Xor (_, rs1, rs2)
| Mul (_, rs1, rs2)
| Div (_, rs1, rs2) -> same rs1 || same rs2
| Beq (rs1, rs2, _) -> same rs1 || same rs2
| Li _ | Call _ | Ret | J _ | Label _ | La _ -> false
;;
let reg_used_later reg instructions =
List.exists (fun instruction -> reads_reg instruction reg) instructions
;;
let is_power_of_two positive_value =
positive_value > 0 && positive_value land (positive_value - 1) = 0
;;
let log2_power_of_two n =
let rec loop power value =
if value = 1 then power else loop (power + 1) (value lsr 1)
in
loop 0 n
;;
let replace_reg from_register to_register instruction =
let replace register =
if equal_reg register from_register then to_register else register
in
match instruction with
| Add (rd, rs1, rs2) -> Add (rd, replace rs1, replace rs2)
| Sub (rd, rs1, rs2) -> Sub (rd, replace rs1, replace rs2)
| Mul (rd, rs1, rs2) -> Mul (rd, replace rs1, replace rs2)
| Div (rd, rs1, rs2) -> Div (rd, replace rs1, replace rs2)
| Xor (rd, rs1, rs2) -> Xor (rd, replace rs1, replace rs2)
| Slt (rd, rs1, rs2) -> Slt (rd, replace rs1, replace rs2)
| Beq (rs1, rs2, label) -> Beq (replace rs1, replace rs2, label)
| Addi (rd, rs, imm) -> Addi (rd, replace rs, imm)
| Xori (rd, rs, imm) -> Xori (rd, replace rs, imm)
| Srli (rd, rs, imm) -> Srli (rd, replace rs, imm)
| Slli (rd, rs, imm) -> Slli (rd, replace rs, imm)
| Seqz (rd, rs) -> Seqz (rd, replace rs)
| Snez (rd, rs) -> Snez (rd, replace rs)
| Sd (rs, (base, offset)) -> Sd (replace rs, (replace base, offset))
| Ld _ | Mv _ | Li _ | Call _ | Ret | J _ | Label _ | La _ -> instruction
;;
let simplify_single = function
| Mv (rd, rs) when equal_reg rd rs -> None
| Addi (rd, rs, 0) when equal_reg rd rs -> None
| Addi (rd, rs, 0) -> Some (Mv (rd, rs))
| Xori (rd, rs, 0) when equal_reg rd rs -> None
| Xori (rd, rs, 0) -> Some (Mv (rd, rs))
| Add (rd, rs, Zero) when equal_reg rd rs -> None
| Add (rd, Zero, rs) when equal_reg rd rs -> None
| Add (rd, rs, Zero) -> Some (Mv (rd, rs))
| Add (rd, Zero, rs) -> Some (Mv (rd, rs))
| Sub (rd, rs, Zero) when equal_reg rd rs -> None
| Sub (rd, rs, Zero) -> Some (Mv (rd, rs))
| instruction -> Some instruction
;;
let simplify_pair first second rest =
match first, second with
| Mv (target_register, source_register), next_instruction
when reads_reg next_instruction target_register ->
let safe_to_drop_mv =
match write_reg next_instruction with
| Some written_register when equal_reg written_register target_register -> true
| _ -> not (reg_used_later target_register rest)
in
if safe_to_drop_mv
then Some [ replace_reg target_register source_register next_instruction ]
else None
| ( Li (constant_register, constant_value)
, Add (destination_register, left_register, right_register) )
when is_small_addi_imm constant_value ->
if equal_reg right_register constant_register
then Some [ Addi (destination_register, left_register, constant_value) ]
else if equal_reg left_register constant_register
then Some [ Addi (destination_register, right_register, constant_value) ]
else None
| ( Li (constant_register, constant_value)
, Mul (destination_register, left_register, right_register) )
when is_power_of_two constant_value ->
let shift_amount = log2_power_of_two constant_value in
if equal_reg right_register constant_register
then Some [ Slli (destination_register, left_register, shift_amount) ]
else if equal_reg left_register constant_register
then Some [ Slli (destination_register, right_register, shift_amount) ]
else None
| J l1, Label l2 when String.equal l1 l2 -> Some []
| Sd (_, (base1, offset1)), Sd (rs2, (base2, offset2))
when equal_reg base1 base2 && offset1 = offset2 -> Some [ Sd (rs2, (base2, offset2)) ]
| Sd (stored_reg, (base1, offset1)), Ld (loaded_reg, (base2, offset2))
when equal_reg base1 base2 && offset1 = offset2 ->
if equal_reg stored_reg loaded_reg
then Some [ first ]
else Some [ first; Mv (loaded_reg, stored_reg) ]
| Ld (rd1, (base1, offset1)), Ld (rd2, (base2, offset2))
when equal_reg base1 base2 && offset1 = offset2 ->
if equal_reg rd1 rd2 then Some [ first ] else Some [ first; Mv (rd2, rd1) ]
| Addi (rd1, rs1, imm1), Addi (rd2, rs2, imm2)
when equal_reg rd1 rs1 && equal_reg rd2 rs2 && equal_reg rd1 rd2 ->
let merged = imm1 + imm2 in
if is_small_addi_imm merged
then if merged = 0 then Some [] else Some [ Addi (rd1, rs1, merged) ]
else None
| _ ->
(match write_reg first, write_reg second with
| Some written_first, Some written_second
when equal_reg written_first written_second && not (reads_reg second written_first)
-> Some [ second ]
| _ -> None)
;;
let simplify_triple first second third rest =
match first, second, third with
| Li (left_register, left_const), Li (right_register, right_const), Beq (rs1, rs2, label)
when equal_reg rs1 left_register && equal_reg rs2 right_register ->
if left_const = right_const
then
Some [ Li (left_register, left_const); Li (right_register, right_const); J label ]
else Some [ Li (left_register, left_const); Li (right_register, right_const) ]
| Mv (target_register, source_register), middle_instruction, next_instruction
when reads_reg next_instruction target_register
&& (not (reads_reg middle_instruction target_register))
&&
match write_reg middle_instruction with
| Some written_register -> not (equal_reg written_register target_register)
| None -> true ->
let safe_to_drop_mv =
match write_reg next_instruction with
| Some written_register when equal_reg written_register target_register -> true
| _ -> not (reg_used_later target_register rest)
in
if safe_to_drop_mv
then
Some
[ middle_instruction
; replace_reg target_register source_register next_instruction
]
else None
| Mv (first_target, first_source), Mv (second_target, second_source), Add (dst, rs1, rs2)
when equal_reg first_source second_source
&& equal_reg rs1 first_target
&& equal_reg rs2 second_target -> Some [ Add (dst, first_source, first_source) ]
| Mv (first_target, first_source), Mv (second_target, second_source), Mul (dst, rs1, rs2)
when equal_reg first_source second_source
&& equal_reg rs1 first_target
&& equal_reg rs2 second_target -> Some [ Mul (dst, first_source, first_source) ]
| Mv (first_target, first_source), Mv (second_target, second_source), Sub (dst, rs1, rs2)
when equal_reg first_source second_source
&& equal_reg rs1 first_target
&& equal_reg rs2 second_target -> Some [ Sub (dst, first_source, first_source) ]
| Mv (first_target, first_source), Mv (second_target, second_source), Div (dst, rs1, rs2)
when equal_reg first_source second_source
&& equal_reg rs1 first_target
&& equal_reg rs2 second_target -> Some [ Div (dst, first_source, first_source) ]
| Mv (first_target, first_source), Mv (second_target, second_source), Xor (dst, rs1, rs2)
when equal_reg first_source second_source
&& equal_reg rs1 first_target
&& equal_reg rs2 second_target -> Some [ Xor (dst, first_source, first_source) ]
| Mv (first_target, first_source), Mv (second_target, second_source), Slt (dst, rs1, rs2)
when equal_reg first_source second_source
&& equal_reg rs1 first_target
&& equal_reg rs2 second_target -> Some [ Slt (dst, first_source, first_source) ]
| _ -> None
;;
let one_pass instructions =
let rec loop changed acc = function
| first :: second :: third :: rest ->
(match simplify_triple first second third rest with
| Some rewritten ->
let rewritten_reversed = List.rev_append rewritten acc in
loop true rewritten_reversed rest
| None ->
(match simplify_pair first second (third :: rest) with
| Some rewritten ->
let rewritten_reversed = List.rev_append rewritten acc in
loop true rewritten_reversed (third :: rest)
| None ->
(match simplify_single first with
| None -> loop true acc (second :: third :: rest)
| Some simplified ->
loop changed (simplified :: acc) (second :: third :: rest))))
| first :: second :: rest ->
(match simplify_pair first second rest with
| Some rewritten ->
let rewritten_reversed = List.rev_append rewritten acc in
loop true rewritten_reversed rest
| None ->
(match simplify_single first with
| None -> loop true acc (second :: rest)
| Some simplified -> loop changed (simplified :: acc) (second :: rest)))
| [ last ] ->
(match simplify_single last with
| None -> List.rev acc, true
| Some simplified -> List.rev (simplified :: acc), changed)
| [] -> List.rev acc, changed
in
loop false [] instructions
;;
let same_memory_key (base1, offset1) (base2, offset2) =
equal_reg base1 base2 && offset1 = offset2
;;
let find_cached_load key cache =
List.find_map
(fun (cached_key, cached_register) ->
if same_memory_key cached_key key then Some cached_register else None)
cache
;;
let remove_cached_key key cache =
List.filter (fun (cached_key, _) -> not (same_memory_key cached_key key)) cache
;;
let invalidate_register register cache =
List.filter
(fun ((base, _), cached_register) ->
not (equal_reg cached_register register || equal_reg base register))
cache
;;
let track_load_cache instructions =
let rec loop changed cache acc = function
| [] -> List.rev acc, changed
| instruction :: rest ->
(match instruction with
| Ld (destination_register, key) ->
(match find_cached_load key cache with
| Some cached_register when equal_reg cached_register destination_register ->
loop true cache acc rest
| Some cached_register ->
let cache_without_destination =
invalidate_register destination_register cache
in
let next_cache = (key, destination_register) :: cache_without_destination in
loop true next_cache (Mv (destination_register, cached_register) :: acc) rest
| None ->
let cache_without_destination =
invalidate_register destination_register cache
in
let next_cache = (key, destination_register) :: cache_without_destination in
loop changed next_cache (instruction :: acc) rest)
| Sd (stored_register, key) ->
let next_cache =
remove_cached_key key cache
|> fun cache_without_key -> (key, stored_register) :: cache_without_key
in
loop changed next_cache (instruction :: acc) rest
| Call _ | Ret | Beq _ | J _ | Label _ -> loop changed [] (instruction :: acc) rest
| _ ->
let next_cache =
match write_reg instruction with
| Some written_register -> invalidate_register written_register cache
| None -> cache
in
loop changed next_cache (instruction :: acc) rest)
in
loop false [] [] instructions
;;
let reads_slot (slot_base, slot_offset) = function
| Ld (_, (base, offset)) -> equal_reg base slot_base && offset = slot_offset
| _ -> false
;;
let stores_slot (slot_base, slot_offset) = function
| Sd (_, (base, offset)) -> equal_reg base slot_base && offset = slot_offset
| _ -> false
;;
let writes_slot_base (slot_base, _) instruction =
match write_reg instruction with
| Some written_register -> equal_reg written_register slot_base
| None -> false
;;
let can_prove_store_dead ~allow_drop_at_block_end slot following_instructions =
let rec walk = function
| [] -> allow_drop_at_block_end
| instruction :: rest ->
(match
( reads_slot slot instruction
, stores_slot slot instruction
, writes_slot_base slot instruction )
with
| true, _, _ -> false
| _, true, _ -> true
| _, _, true -> false
| _ -> walk rest)
in
walk following_instructions
;;
let eliminate_dead_stores_in_block ~allow_drop_at_block_end block =
let rec loop changed acc = function
| [] -> List.rev acc, changed
| Sd (_, slot) :: rest when can_prove_store_dead ~allow_drop_at_block_end slot rest ->
loop true acc rest
| (Sd (_, _) as store_instruction) :: rest ->
loop changed (store_instruction :: acc) rest
| instruction :: rest -> loop changed (instruction :: acc) rest
in
loop false [] block
;;
let eliminate_local_dead_stores instructions =
let is_barrier = function
| Call _ | Ret | Beq _ | J _ | Label _ -> true
| _ -> false
in
let rec split_non_barrier acc = function
| instruction :: rest when not (is_barrier instruction) ->
split_non_barrier (instruction :: acc) rest
| remaining -> List.rev acc, remaining
in
let rec process changed acc = function
| [] -> List.rev acc, changed
| instructions ->
let block, remaining = split_non_barrier [] instructions in
let allow_drop_at_block_end =
match remaining with
| Ret :: _ -> true
| _ -> false
in
let optimized_block, block_changed =
eliminate_dead_stores_in_block ~allow_drop_at_block_end block
in
(match remaining with
| barrier :: tail ->
process
(changed || block_changed)
(barrier :: List.rev_append optimized_block acc)
tail
| [] -> List.rev (List.rev_append optimized_block acc), changed || block_changed)
in
process false [] instructions
;;
let find_redundant_restore_store loaded_register loaded_slot following_instructions =
let is_barrier = function
| Call _ | Ret | Beq _ | J _ | Label _ -> true
| _ -> false
in
let rec search prefix = function
| [] -> List.rev_append prefix [], false
| instruction :: rest
when is_barrier instruction || writes_slot_base loaded_slot instruction ->
List.rev_append prefix (instruction :: rest), false
| Sd (stored_register, store_slot) :: rest
when same_memory_key loaded_slot store_slot
&& equal_reg stored_register loaded_register ->
List.rev_append prefix rest, true
| Sd (stored_register, store_slot) :: rest when same_memory_key loaded_slot store_slot
-> List.rev_append prefix (Sd (stored_register, store_slot) :: rest), false
| instruction :: rest ->
(match write_reg instruction with
| Some written_register when equal_reg written_register loaded_register ->
List.rev_append prefix (instruction :: rest), false
| _ -> search (instruction :: prefix) rest)
in
search [] following_instructions
;;
let eliminate_redundant_restore_stores instructions =
let rec loop changed acc = function
| (Ld (loaded_register, loaded_slot) as load_instruction) :: rest ->
let new_rest, removed =
find_redundant_restore_store loaded_register loaded_slot rest
in
loop (changed || removed) (load_instruction :: acc) new_rest
| instruction :: rest -> loop changed (instruction :: acc) rest
| [] -> List.rev acc, changed
in
loop false [] instructions
;;
let optimize instructions =
let rec fixed_point current =
let after_local, changed_local = one_pass current in
let after_load_cache, changed_cache = track_load_cache after_local in
let after_redundant_store, changed_redundant_store =
eliminate_redundant_restore_stores after_load_cache
in
let after_dead_store, changed_dead_store =
eliminate_local_dead_stores after_redundant_store
in
if changed_local || changed_cache || changed_redundant_store || changed_dead_store
then fixed_point after_dead_store
else after_dead_store
in
fixed_point instructions
;;