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author Shinji KONO <>
date Mon, 25 May 2020 18:13:55 +0900
parents 1830386684a0
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/* SparseSet implementation.
   Copyright (C) 2007-2020 Free Software Foundation, Inc.
   Contributed by Peter Bergner <>

This file is part of GCC.

GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 3, or (at your option) any later

GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
for more details.

You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING3.  If not see
<>.  */


/* Implementation of the Briggs and Torczon sparse set representation.
   The sparse set representation was first published in:

   "An Efficient Representation for Sparse Sets",
   ACM LOPLAS, Vol. 2, Nos. 1-4, March-December 1993, Pages 59-69.

   The sparse set representation is suitable for integer sets with a
   fixed-size universe.  Two vectors are used to store the members of
   the set.  If an element I is in the set, then sparse[I] is the
   index of I in the dense vector, and dense[sparse[I]] == I.  The dense
   vector works like a stack.  The size of the stack is the cardinality
   of the set.

   The following operations can be performed in O(1) time:

     * clear			: sparseset_clear
     * cardinality		: sparseset_cardinality
     * set_size			: sparseset_size
     * member_p			: sparseset_bit_p
     * add_member		: sparseset_set_bit
     * remove_member		: sparseset_clear_bit
     * choose_one		: sparseset_pop

   Additionally, the sparse set representation supports enumeration of
   the members in O(N) time, where n is the number of members in the set.
   The members of the set are stored cache-friendly in the dense vector.
   This makes it a competitive choice for iterating over relatively sparse
   sets requiring operations:

     * set_copy			: sparseset_copy
     * set_intersection		: sparseset_and
     * set_union		: sparseset_ior
     * set_difference		: sparseset_and_compl
     * set_disjuction		: (not implemented)
     * set_compare		: sparseset_equal_p

   NB: It is OK to use remove_member during EXECUTE_IF_SET_IN_SPARSESET.
   The iterator is updated for it.

   Based on the efficiency of these operations, this representation of
   sparse sets will often be superior to alternatives such as simple
   bitmaps, linked-list bitmaps, array bitmaps, balanced binary trees,
   hash tables, linked lists, etc., if the set is sufficiently sparse.
   In the LOPLAS paper the cut-off point where sparse sets became faster
   than simple bitmaps (see sbitmap.h) when N / U < 64 (where U is the
   size of the universe of the set).

   Because the set universe is fixed, the set cannot be resized.  For
   sparse sets with initially unknown size, linked-list bitmaps are a
   better choice, see bitmap.h.

   Sparse sets storage requirements are relatively large: O(U) with a
   larger constant than sbitmaps (if the storage requirement for an
   sbitmap with universe U is S, then the storage required for a sparse
   set for the same universe are 2*HOST_BITS_PER_WIDEST_FAST_INT * S).
   Accessing the sparse vector is not very cache-friendly, but iterating
   over the members in the set is cache-friendly because only the dense
   vector is used.  */

/* Data Structure used for the SparseSet representation.  */


typedef struct sparseset_def
  SPARSESET_ELT_TYPE *dense;	/* Dense array.  */
  SPARSESET_ELT_TYPE *sparse;	/* Sparse array.  */
  SPARSESET_ELT_TYPE members;	/* Number of elements.  */
  SPARSESET_ELT_TYPE size;	/* Maximum number of elements.  */
  SPARSESET_ELT_TYPE iter;	/* Iterator index.  */
  unsigned char iter_inc;	/* Iteration increment amount.  */
  bool iterating;
  SPARSESET_ELT_TYPE elms[2];   /* Combined dense and sparse arrays.  */
} *sparseset;

#define sparseset_free(MAP)  free(MAP)
extern sparseset sparseset_alloc (SPARSESET_ELT_TYPE n_elms);
extern void sparseset_clear_bit (sparseset, SPARSESET_ELT_TYPE);
extern void sparseset_copy (sparseset, sparseset);
extern void sparseset_and (sparseset, sparseset, sparseset);
extern void sparseset_and_compl (sparseset, sparseset, sparseset);
extern void sparseset_ior (sparseset, sparseset, sparseset);
extern bool sparseset_equal_p (sparseset, sparseset);

/* Operation: S = {}
   Clear the set of all elements.  */

static inline void
sparseset_clear (sparseset s)
  s->members = 0;
  s->iterating = false;

/* Return the number of elements currently in the set.  */

static inline SPARSESET_ELT_TYPE
sparseset_cardinality (sparseset s)
  return s->members;

/* Return the maximum number of elements this set can hold.  */

static inline SPARSESET_ELT_TYPE
sparseset_size (sparseset s)
  return s->size;

/* Return true if e is a member of the set S, otherwise return false.  */

static inline bool
sparseset_bit_p (sparseset s, SPARSESET_ELT_TYPE e)

  gcc_checking_assert (e < s->size);

  idx = s->sparse[e];

  return idx < s->members && s->dense[idx] == e;

/* Low level insertion routine not meant for use outside of sparseset.[ch].
   Assumes E is valid and not already a member of the set S.  */

static inline void
sparseset_insert_bit (sparseset s, SPARSESET_ELT_TYPE e, SPARSESET_ELT_TYPE idx)
  s->sparse[e] = idx;
  s->dense[idx] = e;

/* Operation: S = S + {e}
   Insert E into the set S, if it isn't already a member.  */

static inline void
sparseset_set_bit (sparseset s, SPARSESET_ELT_TYPE e)
  if (!sparseset_bit_p (s, e))
    sparseset_insert_bit (s, e, s->members++);

/* Return and remove the last member added to the set S.  */

static inline SPARSESET_ELT_TYPE
sparseset_pop (sparseset s)
  SPARSESET_ELT_TYPE mem = s->members;

  gcc_checking_assert (mem != 0);

  s->members = mem - 1;
  return s->dense[s->members];

static inline void
sparseset_iter_init (sparseset s)
  s->iter = 0;
  s->iter_inc = 1;
  s->iterating = true;

static inline bool
sparseset_iter_p (sparseset s)
  if (s->iterating && s->iter < s->members)
    return true;
    return s->iterating = false;

static inline SPARSESET_ELT_TYPE
sparseset_iter_elm (sparseset s)
  return s->dense[s->iter];

static inline void
sparseset_iter_next (sparseset s)
  s->iter += s->iter_inc;
  s->iter_inc = 1;

  for (sparseset_iter_init (SPARSESET);					\
       sparseset_iter_p (SPARSESET)					\
       && (((ITER) = sparseset_iter_elm (SPARSESET)) || 1);		\
       sparseset_iter_next (SPARSESET))

#endif /* GCC_SPARSESET_H */