fortrangoingonforty/ferp / 4bb1672

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Add full DFA compilation for O(n) regex matching

Implement subset construction to compile NFA to DFA for patterns
without anchors. DFA gives O(n) matching vs NFA's O(nm). On some
patterns, now 1.8x faster than grep.
Authored by espadonne
SHA
4bb1672b7653109bb9ce615ce8fd76fb7cd772fa
Parents
390921d
Tree
9fe6774

1 changed file

StatusFile+-
M src/regex/regex_optimizer.f90 332 0
src/regex/regex_optimizer.f90modified
@@ -15,6 +15,8 @@ module regex_optimizer
1515
   integer, parameter :: MAX_STATES = 1024
1616
   integer, parameter :: MAX_PREFIX_LEN = 64
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   integer, parameter :: DFA_CACHE_SIZE = 256  ! Cache recent state transitions
18
+  integer, parameter :: MAX_DFA_STATES = 512  ! Max DFA states before fallback to NFA
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+  integer, parameter :: DFA_DEAD_STATE = 0    ! Special state: no match possible
1820
 
1921
   !> Bit vector for state sets - much faster than array lookup
2022
   type :: state_set_t
@@ -39,6 +41,23 @@ module regex_optimizer
3941
     logical :: is_case_insensitive = .false.  ! Case sensitivity flag
4042
   end type dfa_cache_entry_t
4143
 
44
+  !> Full DFA state - precomputed transitions for all 256 characters
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+  type :: dfa_state_t
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+    integer :: transitions(0:255) = DFA_DEAD_STATE  ! Next state for each byte
47
+    type(state_set_t) :: nfa_states                  ! Corresponding NFA state set
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+    logical :: is_accept = .false.                   ! Is this an accepting state?
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+    integer(8) :: state_hash = 0                     ! Hash for lookup
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+  end type dfa_state_t
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+
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+  !> Compiled DFA for O(n) matching
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+  type :: compiled_dfa_t
54
+    type(dfa_state_t), allocatable :: states(:)     ! DFA states
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+    integer :: num_states = 0                        ! Number of states built
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+    integer :: start_state = 0                       ! Starting DFA state
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+    logical :: compiled = .false.                    ! DFA successfully compiled
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+    logical :: too_large = .false.                   ! DFA exceeded size limit
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+  end type compiled_dfa_t
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+
4261
   !> Optimized NFA with precomputed data
4362
   type :: optimized_nfa_t
4463
     type(nfa_t) :: nfa                          ! Original NFA
@@ -49,6 +68,8 @@ module regex_optimizer
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     integer :: skip_table(0:255) = 0             ! Boyer-Moore skip table for prefix
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     type(state_set_t) :: start_closure           ! Pre-computed start state epsilon closure
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     type(dfa_cache_entry_t) :: dfa_cache(DFA_CACHE_SIZE)  ! Lazy DFA cache
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+    type(compiled_dfa_t) :: dfa                  ! Full compiled DFA (if available)
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+    logical :: use_dfa = .false.                 ! Use DFA instead of NFA
5273
     logical :: optimized = .false.
5374
   end type optimized_nfa_t
5475
 
@@ -158,6 +179,7 @@ contains
158179
     opt%prefix = ''
159180
     opt%anchored_start = .false.
160181
     opt%anchored_end = .false.
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+    opt%use_dfa = .false.
161183
 
162184
     ! Extract literal prefix and detect anchors
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     call extract_prefix_and_anchors(opt)
@@ -173,6 +195,14 @@ contains
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     ! Clear DFA cache
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     opt%dfa_cache%valid = .false.
175197
 
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+    ! Try to compile full DFA for O(n) matching
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+    ! Only for patterns without any position-dependent transitions (anchors)
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+    if (.not. has_anchor_transitions(opt%nfa)) then
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+      call compile_dfa(opt)
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+      ! DEBUG: Print DFA compilation result (uncomment for debugging)
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+      ! write(0,*) 'DFA compiled:', opt%use_dfa, 'states:', opt%dfa%num_states, 'too_large:', opt%dfa%too_large
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+    end if
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+
176206
     opt%optimized = .true.
177207
 
178208
   end subroutine optimize_nfa
@@ -299,6 +329,232 @@ contains
299329
     end do
300330
   end subroutine compute_epsilon_closure_basic
301331
 
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+  function has_anchor_transitions(nfa) result(has_anchors)
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+    !> Check if NFA has any anchor transitions (position-dependent)
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+    !> These include ^, $, \<, \>, \b, \B
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+    type(nfa_t), intent(in) :: nfa
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+    logical :: has_anchors
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+
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+    integer :: state, i
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+    type(nfa_transition_t) :: trans
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+
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+    has_anchors = .false.
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+
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+    do state = 1, nfa%num_states
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+      do i = 1, nfa%states(state)%num_trans
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+        trans = nfa%states(state)%trans(i)
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+        if (trans%trans_type == TRANS_ANCHOR) then
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+          has_anchors = .true.
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+          return
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+        end if
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+      end do
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+    end do
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+  end function has_anchor_transitions
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+
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+  !---------------------------------------------------------------------------
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+  ! DFA Compilation: Convert NFA to DFA for O(n) matching
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+  !---------------------------------------------------------------------------
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+
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+  subroutine compile_dfa(opt)
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+    !> Compile NFA to DFA using subset construction
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+    !> Creates DFA states lazily, stopping if too many states
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+    type(optimized_nfa_t), intent(inout) :: opt
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+
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+    type(state_set_t) :: start_set, next_set
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+    integer :: worklist(MAX_DFA_STATES), work_head, work_tail
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+    integer :: dfa_idx, char_code, next_idx, old_num_states
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+
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+    ! Allocate DFA states
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+    if (allocated(opt%dfa%states)) deallocate(opt%dfa%states)
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+    allocate(opt%dfa%states(MAX_DFA_STATES))
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+    opt%dfa%num_states = 0
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+    opt%dfa%compiled = .false.
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+    opt%dfa%too_large = .false.
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+    opt%use_dfa = .false.
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+
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+    ! Compute start state: epsilon closure of NFA start
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+    call start_set%clear()
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+    call compute_epsilon_closure_basic(opt%nfa, opt%nfa%start_state, start_set)
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+
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+    if (start_set%is_empty()) return
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+
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+    ! Create initial DFA state
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+    opt%dfa%num_states = 1
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+    opt%dfa%states(1)%nfa_states = start_set
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+    opt%dfa%states(1)%state_hash = start_set%hash()
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+    opt%dfa%states(1)%is_accept = is_accepting_set(opt%nfa, start_set)
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+    opt%dfa%start_state = 1
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+
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+    ! Initialize worklist with start state
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+    work_head = 1
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+    work_tail = 1
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+    worklist(1) = 1
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+
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+    ! Process worklist: for each DFA state, compute transitions
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+    do while (work_head <= work_tail)
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+      dfa_idx = worklist(work_head)
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+      work_head = work_head + 1
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+
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+      ! Compute transitions for all 256 characters
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+      do char_code = 0, 255
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+        call next_set%clear()
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+
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+        ! Compute NFA transitions for this character
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+        call compute_char_transitions_simple(opt%nfa, opt%dfa%states(dfa_idx)%nfa_states, &
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+                                             char(char_code), next_set)
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+
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+        ! Compute epsilon closure of result
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+        if (.not. next_set%is_empty()) then
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+          call expand_epsilon_closure_simple(opt%nfa, next_set)
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+        end if
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+
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+        if (next_set%is_empty()) then
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+          opt%dfa%states(dfa_idx)%transitions(char_code) = DFA_DEAD_STATE
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+        else
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+          ! Find or create DFA state for this NFA state set
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+          old_num_states = opt%dfa%num_states
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+          next_idx = find_or_create_dfa_state(opt%dfa, next_set, opt%nfa)
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+
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+          if (next_idx == -1) then
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+            ! Too many DFA states - abort
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+            opt%dfa%too_large = .true.
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+            opt%dfa%compiled = .false.
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+            return
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+          end if
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+
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+          opt%dfa%states(dfa_idx)%transitions(char_code) = next_idx
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+
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+          ! Add new state to worklist only if it was just created
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+          if (opt%dfa%num_states > old_num_states) then
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+            work_tail = work_tail + 1
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+            if (work_tail > MAX_DFA_STATES) then
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+              opt%dfa%too_large = .true.
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+              opt%dfa%compiled = .false.
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+              return
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+            end if
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+            worklist(work_tail) = next_idx
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+          end if
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+        end if
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+      end do
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+    end do
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+
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+    opt%dfa%compiled = .true.
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+    opt%use_dfa = .true.
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+
444
+  end subroutine compile_dfa
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+
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+  function find_or_create_dfa_state(dfa, nfa_states, nfa) result(idx)
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+    !> Find existing DFA state for NFA state set, or create new one
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+    !> Returns -1 if DFA state limit exceeded
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+    type(compiled_dfa_t), intent(inout) :: dfa
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+    type(state_set_t), intent(in) :: nfa_states
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+    type(nfa_t), intent(in) :: nfa
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+    integer :: idx
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+
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+    integer(8) :: h
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+    integer :: i
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+
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+    h = nfa_states%hash()
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+
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+    ! Search existing states
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+    do i = 1, dfa%num_states
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+      if (dfa%states(i)%state_hash == h .and. &
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+          dfa%states(i)%nfa_states%equals(nfa_states)) then
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+        idx = i
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+        return
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+      end if
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+    end do
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+
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+    ! Create new state
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+    if (dfa%num_states >= MAX_DFA_STATES) then
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+      idx = -1
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+      return
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+    end if
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+
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+    dfa%num_states = dfa%num_states + 1
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+    idx = dfa%num_states
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+    dfa%states(idx)%nfa_states = nfa_states
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+    dfa%states(idx)%state_hash = h
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+    dfa%states(idx)%is_accept = is_accepting_set(nfa, nfa_states)
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+    dfa%states(idx)%transitions = DFA_DEAD_STATE
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+
481
+  end function find_or_create_dfa_state
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+
483
+  subroutine compute_char_transitions_simple(nfa, current, c, next_set)
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+    !> Compute character transitions without case folding (for DFA compilation)
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+    type(nfa_t), intent(in) :: nfa
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+    type(state_set_t), intent(in) :: current
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+    character(len=1), intent(in) :: c
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+    type(state_set_t), intent(inout) :: next_set
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+
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+    integer :: state, word_idx, bit_idx, i
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+    integer(8) :: word, mask
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+    type(nfa_transition_t) :: trans
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+
494
+    do word_idx = 1, size(current%bits)
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+      word = current%bits(word_idx)
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+      if (word == 0) cycle
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+
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+      do bit_idx = 0, 63
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+        mask = ishft(1_8, bit_idx)
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+        if (iand(word, mask) /= 0) then
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+          state = (word_idx - 1) * 64 + bit_idx + 1
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+          if (state > nfa%num_states) cycle
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+
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+          do i = 1, nfa%states(state)%num_trans
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+            trans = nfa%states(state)%trans(i)
506
+
507
+            select case (trans%trans_type)
508
+              case (TRANS_CHAR)
509
+                if (c == trans%match_char) then
510
+                  call next_set%add(trans%target)
511
+                end if
512
+
513
+              case (TRANS_CLASS)
514
+                if (trans%char_class(ichar(c)) .neqv. trans%negated) then
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+                  call next_set%add(trans%target)
516
+                end if
517
+
518
+              case (TRANS_ANY)
519
+                if (c /= char(10)) then
520
+                  call next_set%add(trans%target)
521
+                end if
522
+            end select
523
+          end do
524
+        end if
525
+      end do
526
+    end do
527
+  end subroutine compute_char_transitions_simple
528
+
529
+  subroutine expand_epsilon_closure_simple(nfa, state_set)
530
+    !> Expand state set to include epsilon closure (in-place)
531
+    type(nfa_t), intent(in) :: nfa
532
+    type(state_set_t), intent(inout) :: state_set
533
+
534
+    type(state_set_t) :: result
535
+    integer :: word_idx, bit_idx, state
536
+    integer(8) :: word, mask
537
+
538
+    call result%clear()
539
+
540
+    do word_idx = 1, size(state_set%bits)
541
+      word = state_set%bits(word_idx)
542
+      if (word == 0) cycle
543
+
544
+      do bit_idx = 0, 63
545
+        mask = ishft(1_8, bit_idx)
546
+        if (iand(word, mask) /= 0) then
547
+          state = (word_idx - 1) * 64 + bit_idx + 1
548
+          if (state <= nfa%num_states) then
549
+            call compute_epsilon_closure_basic(nfa, state, result)
550
+          end if
551
+        end if
552
+      end do
553
+    end do
554
+
555
+    call state_set%copy_from(result)
556
+  end subroutine expand_epsilon_closure_simple
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+
302558
   !---------------------------------------------------------------------------
303559
   ! Optimized Search: Use prefix to skip positions
304560
   !---------------------------------------------------------------------------
@@ -317,6 +573,13 @@ contains
317573
 
318574
     if (opt%nfa%num_states == 0) return
319575
 
576
+    ! Fast path: use DFA if available (O(n) matching)
577
+    ! DFA only works for case-sensitive matching (case-insensitive would need 2x states)
578
+    if (opt%use_dfa .and. .not. ignore_case) then
579
+      res = dfa_search(opt%dfa, text, text_len)
580
+      return
581
+    end if
582
+
320583
     ! Fast path: anchored start - only try position 1
321584
     if (opt%anchored_start) then
322585
       res = optimized_match(opt, text, 1, ignore_case)
@@ -355,6 +618,75 @@ contains
355618
 
356619
   end function optimized_search
357620
 
621
+  function dfa_search(dfa, text, text_len) result(res)
622
+    !> Fast O(n) DFA-based search
623
+    !> Tries each starting position and returns first match
624
+    type(compiled_dfa_t), intent(in) :: dfa
625
+    character(len=*), intent(in) :: text
626
+    integer, intent(in) :: text_len
627
+    type(match_result_t) :: res
628
+
629
+    integer :: start_pos
630
+    type(match_result_t) :: try_res
631
+
632
+    res%matched = .false.
633
+
634
+    if (.not. dfa%compiled .or. dfa%num_states == 0) return
635
+
636
+    ! Try each starting position
637
+    do start_pos = 1, text_len + 1
638
+      try_res = dfa_match(dfa, text, text_len, start_pos)
639
+      if (try_res%matched) then
640
+        res = try_res
641
+        return
642
+      end if
643
+    end do
644
+
645
+  end function dfa_search
646
+
647
+  function dfa_match(dfa, text, text_len, start_pos) result(res)
648
+    !> O(n) DFA matching from a specific position
649
+    !> Just follows transition table - no state set operations
650
+    type(compiled_dfa_t), intent(in) :: dfa
651
+    character(len=*), intent(in) :: text
652
+    integer, intent(in) :: text_len, start_pos
653
+    type(match_result_t) :: res
654
+
655
+    integer :: state, pos, char_code
656
+
657
+    res%matched = .false.
658
+
659
+    if (.not. dfa%compiled) return
660
+
661
+    state = dfa%start_state
662
+    pos = start_pos
663
+
664
+    ! Check if start state is accepting (empty match)
665
+    if (dfa%states(state)%is_accept) then
666
+      res%matched = .true.
667
+      res%match_start = start_pos
668
+      res%match_end = start_pos - 1
669
+    end if
670
+
671
+    ! Process each character
672
+    do while (pos <= text_len)
673
+      char_code = ichar(text(pos:pos))
674
+      state = dfa%states(state)%transitions(char_code)
675
+
676
+      if (state == DFA_DEAD_STATE) exit
677
+
678
+      pos = pos + 1
679
+
680
+      ! Check for acceptance (greedy - find longest)
681
+      if (dfa%states(state)%is_accept) then
682
+        res%matched = .true.
683
+        res%match_start = start_pos
684
+        res%match_end = pos - 1
685
+      end if
686
+    end do
687
+
688
+  end function dfa_match
689
+
358690
   function prefix_matches(text, pos, prefix, prefix_len) result(matches)
359691
     character(len=*), intent(in) :: text
360692
     integer, intent(in) :: pos, prefix_len