src/share/vm/opto/chaitin.hpp

Mon, 31 Oct 2011 03:06:42 -0700

author
twisti
date
Mon, 31 Oct 2011 03:06:42 -0700
changeset 3249
e3b0dcc327b9
parent 3138
f6f3bb0ee072
child 3405
5da7201222d5
permissions
-rw-r--r--

7104561: UseRDPCForConstantTableBase doesn't work after shorten branches changes
Reviewed-by: never, kvn

     1 /*
     2  * Copyright (c) 1997, 2011, Oracle and/or its affiliates. All rights reserved.
     3  * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
     4  *
     5  * This code is free software; you can redistribute it and/or modify it
     6  * under the terms of the GNU General Public License version 2 only, as
     7  * published by the Free Software Foundation.
     8  *
     9  * This code is distributed in the hope that it will be useful, but WITHOUT
    10  * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
    11  * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
    12  * version 2 for more details (a copy is included in the LICENSE file that
    13  * accompanied this code).
    14  *
    15  * You should have received a copy of the GNU General Public License version
    16  * 2 along with this work; if not, write to the Free Software Foundation,
    17  * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
    18  *
    19  * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
    20  * or visit www.oracle.com if you need additional information or have any
    21  * questions.
    22  *
    23  */
    25 #ifndef SHARE_VM_OPTO_CHAITIN_HPP
    26 #define SHARE_VM_OPTO_CHAITIN_HPP
    28 #include "code/vmreg.hpp"
    29 #include "libadt/port.hpp"
    30 #include "memory/resourceArea.hpp"
    31 #include "opto/connode.hpp"
    32 #include "opto/live.hpp"
    33 #include "opto/matcher.hpp"
    34 #include "opto/phase.hpp"
    35 #include "opto/regalloc.hpp"
    36 #include "opto/regmask.hpp"
    38 class LoopTree;
    39 class MachCallNode;
    40 class MachSafePointNode;
    41 class Matcher;
    42 class PhaseCFG;
    43 class PhaseLive;
    44 class PhaseRegAlloc;
    45 class   PhaseChaitin;
    47 #define OPTO_DEBUG_SPLIT_FREQ  BLOCK_FREQUENCY(0.001)
    48 #define OPTO_LRG_HIGH_FREQ     BLOCK_FREQUENCY(0.25)
    50 //------------------------------LRG--------------------------------------------
    51 // Live-RanGe structure.
    52 class LRG : public ResourceObj {
    53   friend class VMStructs;
    54 public:
    55   enum { SPILL_REG=29999 };     // Register number of a spilled LRG
    57   double _cost;                 // 2 for loads/1 for stores times block freq
    58   double _area;                 // Sum of all simultaneously live values
    59   double score() const;         // Compute score from cost and area
    60   double _maxfreq;              // Maximum frequency of any def or use
    62   Node *_def;                   // Check for multi-def live ranges
    63 #ifndef PRODUCT
    64   GrowableArray<Node*>* _defs;
    65 #endif
    67   uint _risk_bias;              // Index of LRG which we want to avoid color
    68   uint _copy_bias;              // Index of LRG which we want to share color
    70   uint _next;                   // Index of next LRG in linked list
    71   uint _prev;                   // Index of prev LRG in linked list
    72 private:
    73   uint _reg;                    // Chosen register; undefined if mask is plural
    74 public:
    75   // Return chosen register for this LRG.  Error if the LRG is not bound to
    76   // a single register.
    77   OptoReg::Name reg() const { return OptoReg::Name(_reg); }
    78   void set_reg( OptoReg::Name r ) { _reg = r; }
    80 private:
    81   uint _eff_degree;             // Effective degree: Sum of neighbors _num_regs
    82 public:
    83   int degree() const { assert( _degree_valid, "" ); return _eff_degree; }
    84   // Degree starts not valid and any change to the IFG neighbor
    85   // set makes it not valid.
    86   void set_degree( uint degree ) { _eff_degree = degree; debug_only(_degree_valid = 1;) }
    87   // Made a change that hammered degree
    88   void invalid_degree() { debug_only(_degree_valid=0;) }
    89   // Incrementally modify degree.  If it was correct, it should remain correct
    90   void inc_degree( uint mod ) { _eff_degree += mod; }
    91   // Compute the degree between 2 live ranges
    92   int compute_degree( LRG &l ) const;
    94 private:
    95   RegMask _mask;                // Allowed registers for this LRG
    96   uint _mask_size;              // cache of _mask.Size();
    97 public:
    98   int compute_mask_size() const { return _mask.is_AllStack() ? 65535 : _mask.Size(); }
    99   void set_mask_size( int size ) {
   100     assert((size == 65535) || (size == (int)_mask.Size()), "");
   101     _mask_size = size;
   102     debug_only(_msize_valid=1;)
   103     debug_only( if( _num_regs == 2 && !_fat_proj ) _mask.VerifyPairs(); )
   104   }
   105   void compute_set_mask_size() { set_mask_size(compute_mask_size()); }
   106   int mask_size() const { assert( _msize_valid, "mask size not valid" );
   107                           return _mask_size; }
   108   // Get the last mask size computed, even if it does not match the
   109   // count of bits in the current mask.
   110   int get_invalid_mask_size() const { return _mask_size; }
   111   const RegMask &mask() const { return _mask; }
   112   void set_mask( const RegMask &rm ) { _mask = rm; debug_only(_msize_valid=0;)}
   113   void AND( const RegMask &rm ) { _mask.AND(rm); debug_only(_msize_valid=0;)}
   114   void SUBTRACT( const RegMask &rm ) { _mask.SUBTRACT(rm); debug_only(_msize_valid=0;)}
   115   void Clear()   { _mask.Clear()  ; debug_only(_msize_valid=1); _mask_size = 0; }
   116   void Set_All() { _mask.Set_All(); debug_only(_msize_valid=1); _mask_size = RegMask::CHUNK_SIZE; }
   117   void Insert( OptoReg::Name reg ) { _mask.Insert(reg);  debug_only(_msize_valid=0;) }
   118   void Remove( OptoReg::Name reg ) { _mask.Remove(reg);  debug_only(_msize_valid=0;) }
   119   void ClearToPairs() { _mask.ClearToPairs(); debug_only(_msize_valid=0;) }
   121   // Number of registers this live range uses when it colors
   122 private:
   123   uint8 _num_regs;              // 2 for Longs and Doubles, 1 for all else
   124                                 // except _num_regs is kill count for fat_proj
   125 public:
   126   int num_regs() const { return _num_regs; }
   127   void set_num_regs( int reg ) { assert( _num_regs == reg || !_num_regs, "" ); _num_regs = reg; }
   129 private:
   130   // Number of physical registers this live range uses when it colors
   131   // Architecture and register-set dependent
   132   uint8 _reg_pressure;
   133 public:
   134   void set_reg_pressure(int i)  { _reg_pressure = i; }
   135   int      reg_pressure() const { return _reg_pressure; }
   137   // How much 'wiggle room' does this live range have?
   138   // How many color choices can it make (scaled by _num_regs)?
   139   int degrees_of_freedom() const { return mask_size() - _num_regs; }
   140   // Bound LRGs have ZERO degrees of freedom.  We also count
   141   // must_spill as bound.
   142   bool is_bound  () const { return _is_bound; }
   143   // Negative degrees-of-freedom; even with no neighbors this
   144   // live range must spill.
   145   bool not_free() const { return degrees_of_freedom() <  0; }
   146   // Is this live range of "low-degree"?  Trivially colorable?
   147   bool lo_degree () const { return degree() <= degrees_of_freedom(); }
   148   // Is this live range just barely "low-degree"?  Trivially colorable?
   149   bool just_lo_degree () const { return degree() == degrees_of_freedom(); }
   151   uint   _is_oop:1,             // Live-range holds an oop
   152          _is_float:1,           // True if in float registers
   153          _was_spilled1:1,       // True if prior spilling on def
   154          _was_spilled2:1,       // True if twice prior spilling on def
   155          _is_bound:1,           // live range starts life with no
   156                                 // degrees of freedom.
   157          _direct_conflict:1,    // True if def and use registers in conflict
   158          _must_spill:1,         // live range has lost all degrees of freedom
   159     // If _fat_proj is set, live range does NOT require aligned, adjacent
   160     // registers and has NO interferences.
   161     // If _fat_proj is clear, live range requires num_regs() to be a power of
   162     // 2, and it requires registers to form an aligned, adjacent set.
   163          _fat_proj:1,           //
   164          _was_lo:1,             // Was lo-degree prior to coalesce
   165          _msize_valid:1,        // _mask_size cache valid
   166          _degree_valid:1,       // _degree cache valid
   167          _has_copy:1,           // Adjacent to some copy instruction
   168          _at_risk:1;            // Simplify says this guy is at risk to spill
   171   // Alive if non-zero, dead if zero
   172   bool alive() const { return _def != NULL; }
   173   bool is_multidef() const { return _def == NodeSentinel; }
   174   bool is_singledef() const { return _def != NodeSentinel; }
   176 #ifndef PRODUCT
   177   void dump( ) const;
   178 #endif
   179 };
   181 //------------------------------LRG_List---------------------------------------
   182 // Map Node indices to Live RanGe indices.
   183 // Array lookup in the optimized case.
   184 class LRG_List : public ResourceObj {
   185   friend class VMStructs;
   186   uint _cnt, _max;
   187   uint* _lidxs;
   188   ReallocMark _nesting;         // assertion check for reallocations
   189 public:
   190   LRG_List( uint max );
   192   uint lookup( uint nidx ) const {
   193     return _lidxs[nidx];
   194   }
   195   uint operator[] (uint nidx) const { return lookup(nidx); }
   197   void map( uint nidx, uint lidx ) {
   198     assert( nidx < _cnt, "oob" );
   199     _lidxs[nidx] = lidx;
   200   }
   201   void extend( uint nidx, uint lidx );
   203   uint Size() const { return _cnt; }
   204 };
   206 //------------------------------IFG--------------------------------------------
   207 //                         InterFerence Graph
   208 // An undirected graph implementation.  Created with a fixed number of
   209 // vertices.  Edges can be added & tested.  Vertices can be removed, then
   210 // added back later with all edges intact.  Can add edges between one vertex
   211 // and a list of other vertices.  Can union vertices (and their edges)
   212 // together.  The IFG needs to be really really fast, and also fairly
   213 // abstract!  It needs abstraction so I can fiddle with the implementation to
   214 // get even more speed.
   215 class PhaseIFG : public Phase {
   216   friend class VMStructs;
   217   // Current implementation: a triangular adjacency list.
   219   // Array of adjacency-lists, indexed by live-range number
   220   IndexSet *_adjs;
   222   // Assertion bit for proper use of Squaring
   223   bool _is_square;
   225   // Live range structure goes here
   226   LRG *_lrgs;                   // Array of LRG structures
   228 public:
   229   // Largest live-range number
   230   uint _maxlrg;
   232   Arena *_arena;
   234   // Keep track of inserted and deleted Nodes
   235   VectorSet *_yanked;
   237   PhaseIFG( Arena *arena );
   238   void init( uint maxlrg );
   240   // Add edge between a and b.  Returns true if actually addded.
   241   int add_edge( uint a, uint b );
   243   // Add edge between a and everything in the vector
   244   void add_vector( uint a, IndexSet *vec );
   246   // Test for edge existance
   247   int test_edge( uint a, uint b ) const;
   249   // Square-up matrix for faster Union
   250   void SquareUp();
   252   // Return number of LRG neighbors
   253   uint neighbor_cnt( uint a ) const { return _adjs[a].count(); }
   254   // Union edges of b into a on Squared-up matrix
   255   void Union( uint a, uint b );
   256   // Test for edge in Squared-up matrix
   257   int test_edge_sq( uint a, uint b ) const;
   258   // Yank a Node and all connected edges from the IFG.  Be prepared to
   259   // re-insert the yanked Node in reverse order of yanking.  Return a
   260   // list of neighbors (edges) yanked.
   261   IndexSet *remove_node( uint a );
   262   // Reinsert a yanked Node
   263   void re_insert( uint a );
   264   // Return set of neighbors
   265   IndexSet *neighbors( uint a ) const { return &_adjs[a]; }
   267 #ifndef PRODUCT
   268   // Dump the IFG
   269   void dump() const;
   270   void stats() const;
   271   void verify( const PhaseChaitin * ) const;
   272 #endif
   274   //--------------- Live Range Accessors
   275   LRG &lrgs(uint idx) const { assert(idx < _maxlrg, "oob"); return _lrgs[idx]; }
   277   // Compute and set effective degree.  Might be folded into SquareUp().
   278   void Compute_Effective_Degree();
   280   // Compute effective degree as the sum of neighbors' _sizes.
   281   int effective_degree( uint lidx ) const;
   282 };
   284 // TEMPORARILY REPLACED WITH COMMAND LINE FLAG
   286 //// !!!!! Magic Constants need to move into ad file
   287 #ifdef SPARC
   288 //#define FLOAT_PRESSURE 30  /*     SFLT_REG_mask.Size() - 1 */
   289 //#define INT_PRESSURE   23  /* NOTEMP_I_REG_mask.Size() - 1 */
   290 #define FLOAT_INCREMENT(regs) regs
   291 #else
   292 //#define FLOAT_PRESSURE 6
   293 //#define INT_PRESSURE   6
   294 #define FLOAT_INCREMENT(regs) 1
   295 #endif
   297 //------------------------------Chaitin----------------------------------------
   298 // Briggs-Chaitin style allocation, mostly.
   299 class PhaseChaitin : public PhaseRegAlloc {
   300   friend class VMStructs;
   302   int _trip_cnt;
   303   int _alternate;
   305   uint _maxlrg;                 // Max live range number
   306   LRG &lrgs(uint idx) const { return _ifg->lrgs(idx); }
   307   PhaseLive *_live;             // Liveness, used in the interference graph
   308   PhaseIFG *_ifg;               // Interference graph (for original chunk)
   309   Node_List **_lrg_nodes;       // Array of node; lists for lrgs which spill
   310   VectorSet _spilled_once;      // Nodes that have been spilled
   311   VectorSet _spilled_twice;     // Nodes that have been spilled twice
   313   LRG_List _names;              // Map from Nodes to Live RanGes
   315   // Union-find map.  Declared as a short for speed.
   316   // Indexed by live-range number, it returns the compacted live-range number
   317   LRG_List _uf_map;
   318   // Reset the Union-Find map to identity
   319   void reset_uf_map( uint maxlrg );
   320   // Remove the need for the Union-Find mapping
   321   void compress_uf_map_for_nodes( );
   323   // Combine the Live Range Indices for these 2 Nodes into a single live
   324   // range.  Future requests for any Node in either live range will
   325   // return the live range index for the combined live range.
   326   void Union( const Node *src, const Node *dst );
   328   void new_lrg( const Node *x, uint lrg );
   330   // Compact live ranges, removing unused ones.  Return new maxlrg.
   331   void compact();
   333   uint _lo_degree;              // Head of lo-degree LRGs list
   334   uint _lo_stk_degree;          // Head of lo-stk-degree LRGs list
   335   uint _hi_degree;              // Head of hi-degree LRGs list
   336   uint _simplified;             // Linked list head of simplified LRGs
   338   // Helper functions for Split()
   339   uint split_DEF( Node *def, Block *b, int loc, uint max, Node **Reachblock, Node **debug_defs, GrowableArray<uint> splits, int slidx );
   340   uint split_USE( Node *def, Block *b, Node *use, uint useidx, uint max, bool def_down, bool cisc_sp, GrowableArray<uint> splits, int slidx );
   341   int clone_projs( Block *b, uint idx, Node *con, Node *copy, uint &maxlrg );
   342   Node *split_Rematerialize(Node *def, Block *b, uint insidx, uint &maxlrg, GrowableArray<uint> splits,
   343                             int slidx, uint *lrg2reach, Node **Reachblock, bool walkThru);
   344   // True if lidx is used before any real register is def'd in the block
   345   bool prompt_use( Block *b, uint lidx );
   346   Node *get_spillcopy_wide( Node *def, Node *use, uint uidx );
   347   // Insert the spill at chosen location.  Skip over any intervening Proj's or
   348   // Phis.  Skip over a CatchNode and projs, inserting in the fall-through block
   349   // instead.  Update high-pressure indices.  Create a new live range.
   350   void insert_proj( Block *b, uint i, Node *spill, uint maxlrg );
   352   bool is_high_pressure( Block *b, LRG *lrg, uint insidx );
   354   uint _oldphi;                 // Node index which separates pre-allocation nodes
   356   Block **_blks;                // Array of blocks sorted by frequency for coalescing
   358   float _high_frequency_lrg;    // Frequency at which LRG will be spilled for debug info
   360 #ifndef PRODUCT
   361   bool _trace_spilling;
   362 #endif
   364 public:
   365   PhaseChaitin( uint unique, PhaseCFG &cfg, Matcher &matcher );
   366   ~PhaseChaitin() {}
   368   // Convert a Node into a Live Range Index - a lidx
   369   uint Find( const Node *n ) {
   370     uint lidx = n2lidx(n);
   371     uint uf_lidx = _uf_map[lidx];
   372     return (uf_lidx == lidx) ? uf_lidx : Find_compress(n);
   373   }
   374   uint Find_const( uint lrg ) const;
   375   uint Find_const( const Node *n ) const;
   377   // Do all the real work of allocate
   378   void Register_Allocate();
   380   uint n2lidx( const Node *n ) const { return _names[n->_idx]; }
   382   float high_frequency_lrg() const { return _high_frequency_lrg; }
   384 #ifndef PRODUCT
   385   bool trace_spilling() const { return _trace_spilling; }
   386 #endif
   388 private:
   389   // De-SSA the world.  Assign registers to Nodes.  Use the same register for
   390   // all inputs to a PhiNode, effectively coalescing live ranges.  Insert
   391   // copies as needed.
   392   void de_ssa();
   393   uint Find_compress( const Node *n );
   394   uint Find( uint lidx ) {
   395     uint uf_lidx = _uf_map[lidx];
   396     return (uf_lidx == lidx) ? uf_lidx : Find_compress(lidx);
   397   }
   398   uint Find_compress( uint lidx );
   400   uint Find_id( const Node *n ) {
   401     uint retval = n2lidx(n);
   402     assert(retval == Find(n),"Invalid node to lidx mapping");
   403     return retval;
   404   }
   406   // Add edge between reg and everything in the vector.
   407   // Same as _ifg->add_vector(reg,live) EXCEPT use the RegMask
   408   // information to trim the set of interferences.  Return the
   409   // count of edges added.
   410   void interfere_with_live( uint reg, IndexSet *live );
   411   // Count register pressure for asserts
   412   uint count_int_pressure( IndexSet *liveout );
   413   uint count_float_pressure( IndexSet *liveout );
   415   // Build the interference graph using virtual registers only.
   416   // Used for aggressive coalescing.
   417   void build_ifg_virtual( );
   419   // Build the interference graph using physical registers when available.
   420   // That is, if 2 live ranges are simultaneously alive but in their
   421   // acceptable register sets do not overlap, then they do not interfere.
   422   uint build_ifg_physical( ResourceArea *a );
   424   // Gather LiveRanGe information, including register masks and base pointer/
   425   // derived pointer relationships.
   426   void gather_lrg_masks( bool mod_cisc_masks );
   428   // Force the bases of derived pointers to be alive at GC points.
   429   bool stretch_base_pointer_live_ranges( ResourceArea *a );
   430   // Helper to stretch above; recursively discover the base Node for
   431   // a given derived Node.  Easy for AddP-related machine nodes, but
   432   // needs to be recursive for derived Phis.
   433   Node *find_base_for_derived( Node **derived_base_map, Node *derived, uint &maxlrg );
   435   // Set the was-lo-degree bit.  Conservative coalescing should not change the
   436   // colorability of the graph.  If any live range was of low-degree before
   437   // coalescing, it should Simplify.  This call sets the was-lo-degree bit.
   438   void set_was_low();
   440   // Split live-ranges that must spill due to register conflicts (as opposed
   441   // to capacity spills).  Typically these are things def'd in a register
   442   // and used on the stack or vice-versa.
   443   void pre_spill();
   445   // Init LRG caching of degree, numregs.  Init lo_degree list.
   446   void cache_lrg_info( );
   448   // Simplify the IFG by removing LRGs of low degree with no copies
   449   void Pre_Simplify();
   451   // Simplify the IFG by removing LRGs of low degree
   452   void Simplify();
   454   // Select colors by re-inserting edges into the IFG.
   455   // Return TRUE if any spills occurred.
   456   uint Select( );
   457   // Helper function for select which allows biased coloring
   458   OptoReg::Name choose_color( LRG &lrg, int chunk );
   459   // Helper function which implements biasing heuristic
   460   OptoReg::Name bias_color( LRG &lrg, int chunk );
   462   // Split uncolorable live ranges
   463   // Return new number of live ranges
   464   uint Split( uint maxlrg );
   466   // Copy 'was_spilled'-edness from one Node to another.
   467   void copy_was_spilled( Node *src, Node *dst );
   468   // Set the 'spilled_once' or 'spilled_twice' flag on a node.
   469   void set_was_spilled( Node *n );
   471   // Convert ideal spill-nodes into machine loads & stores
   472   // Set C->failing when fixup spills could not complete, node limit exceeded.
   473   void fixup_spills();
   475   // Post-Allocation peephole copy removal
   476   void post_allocate_copy_removal();
   477   Node *skip_copies( Node *c );
   478   // Replace the old node with the current live version of that value
   479   // and yank the old value if it's dead.
   480   int replace_and_yank_if_dead( Node *old, OptoReg::Name nreg,
   481                                 Block *current_block, Node_List& value, Node_List& regnd ) {
   482     Node* v = regnd[nreg];
   483     assert(v->outcnt() != 0, "no dead values");
   484     old->replace_by(v);
   485     return yank_if_dead(old, current_block, &value, &regnd);
   486   }
   488   int yank_if_dead( Node *old, Block *current_block, Node_List *value, Node_List *regnd );
   489   int yank( Node *old, Block *current_block, Node_List *value, Node_List *regnd );
   490   int elide_copy( Node *n, int k, Block *current_block, Node_List &value, Node_List &regnd, bool can_change_regs );
   491   int use_prior_register( Node *copy, uint idx, Node *def, Block *current_block, Node_List &value, Node_List &regnd );
   492   bool may_be_copy_of_callee( Node *def ) const;
   494   // If nreg already contains the same constant as val then eliminate it
   495   bool eliminate_copy_of_constant(Node* val, Node* n,
   496                                   Block *current_block, Node_List& value, Node_List &regnd,
   497                                   OptoReg::Name nreg, OptoReg::Name nreg2);
   498   // Extend the node to LRG mapping
   499   void add_reference( const Node *node, const Node *old_node);
   501 private:
   503   static int _final_loads, _final_stores, _final_copies, _final_memoves;
   504   static double _final_load_cost, _final_store_cost, _final_copy_cost, _final_memove_cost;
   505   static int _conserv_coalesce, _conserv_coalesce_pair;
   506   static int _conserv_coalesce_trie, _conserv_coalesce_quad;
   507   static int _post_alloc;
   508   static int _lost_opp_pp_coalesce, _lost_opp_cflow_coalesce;
   509   static int _used_cisc_instructions, _unused_cisc_instructions;
   510   static int _allocator_attempts, _allocator_successes;
   512 #ifndef PRODUCT
   513   static uint _high_pressure, _low_pressure;
   515   void dump() const;
   516   void dump( const Node *n ) const;
   517   void dump( const Block * b ) const;
   518   void dump_degree_lists() const;
   519   void dump_simplified() const;
   520   void dump_lrg( uint lidx, bool defs_only) const;
   521   void dump_lrg( uint lidx) const {
   522     // dump defs and uses by default
   523     dump_lrg(lidx, false);
   524   }
   525   void dump_bb( uint pre_order ) const;
   527   // Verify that base pointers and derived pointers are still sane
   528   void verify_base_ptrs( ResourceArea *a ) const;
   530   void verify( ResourceArea *a, bool verify_ifg = false ) const;
   532   void dump_for_spill_split_recycle() const;
   534 public:
   535   void dump_frame() const;
   536   char *dump_register( const Node *n, char *buf  ) const;
   537 private:
   538   static void print_chaitin_statistics();
   539 #endif
   540   friend class PhaseCoalesce;
   541   friend class PhaseAggressiveCoalesce;
   542   friend class PhaseConservativeCoalesce;
   543 };
   545 #endif // SHARE_VM_OPTO_CHAITIN_HPP

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