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      1 /* Simple bitmaps.
      2    Copyright (C) 1999-2013 Free Software Foundation, Inc.
      3 
      4 This file is part of GCC.
      5 
      6 GCC is free software; you can redistribute it and/or modify it under
      7 the terms of the GNU General Public License as published by the Free
      8 Software Foundation; either version 3, or (at your option) any later
      9 version.
     10 
     11 GCC is distributed in the hope that it will be useful, but WITHOUT ANY
     12 WARRANTY; without even the implied warranty of MERCHANTABILITY or
     13 FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
     14 for more details.
     15 
     16 You should have received a copy of the GNU General Public License
     17 along with GCC; see the file COPYING3.  If not see
     18 <http://www.gnu.org/licenses/>.  */
     19 
     20 #ifndef GCC_SBITMAP_H
     21 #define GCC_SBITMAP_H
     22 
     23 /* Implementation of sets using simple bitmap vectors.
     24 
     25    This set representation is suitable for non-sparse sets with a known
     26    (a priori) universe.  The set is represented as a simple array of the
     27    host's fastest unsigned integer.  For a given member I in the set:
     28      - the element for I will be at sbitmap[I / (bits per element)]
     29      - the position for I within element is I % (bits per element)
     30 
     31    This representation is very space-efficient for large non-sparse sets
     32    with random access patterns.
     33 
     34    The following operations can be performed in O(1) time:
     35 
     36      * set_size			: SBITMAP_SIZE
     37      * member_p			: bitmap_bit_p
     38      * add_member		: bitmap_set_bit
     39      * remove_member		: bitmap_clear_bit
     40 
     41    Most other operations on this set representation are O(U) where U is
     42    the size of the set universe:
     43 
     44      * clear			: bitmap_clear
     45      * choose_one		: bitmap_first_set_bit /
     46 				  bitmap_last_set_bit
     47      * forall			: EXECUTE_IF_SET_IN_BITMAP
     48      * set_copy			: bitmap_copy
     49      * set_intersection		: bitmap_and
     50      * set_union		: bitmap_ior
     51      * set_difference		: bitmap_and_compl
     52      * set_disjuction		: (not implemented)
     53      * set_compare		: bitmap_equal_p
     54 
     55    Some operations on 3 sets that occur frequently in in data flow problems
     56    are also implemented:
     57 
     58       * A | (B & C)		: bitmap_or_and
     59       * A | (B & ~C)		: bitmap_ior_and_compl
     60       * A & (B | C)		: bitmap_and_or
     61 
     62    Most of the set functions have two variants: One that returns non-zero
     63    if members were added or removed from the target set, and one that just
     64    performs the operation without feedback.  The former operations are a
     65    bit more expensive but the result can often be used to avoid iterations
     66    on other sets.
     67 
     68    Allocating a bitmap is done with sbitmap_alloc, and resizing is
     69    performed with sbitmap_resize.
     70 
     71    The storage requirements for simple bitmap sets is O(U) where U is the
     72    size of the set universe (colloquially the number of bits in the bitmap).
     73 
     74    This set representation works well for relatively small data flow problems
     75    (there are special routines for that, see sbitmap_vector_*).  The set
     76    operations can be vectorized and there is almost no computating overhead,
     77    so that even sparse simple bitmap sets outperform dedicated sparse set
     78    representations like linked-list bitmaps.  For larger problems, the size
     79    overhead of simple bitmap sets gets too high and other set representations
     80    have to be used.  */
     81 
     82 #define SBITMAP_ELT_BITS (HOST_BITS_PER_WIDEST_FAST_INT * 1u)
     83 #define SBITMAP_ELT_TYPE unsigned HOST_WIDEST_FAST_INT
     84 
     85 struct simple_bitmap_def
     86 {
     87   unsigned char *popcount;      /* Population count.  */
     88   unsigned int n_bits;		/* Number of bits.  */
     89   unsigned int size;		/* Size in elements.  */
     90   SBITMAP_ELT_TYPE elms[1];	/* The elements.  */
     91 };
     92 
     93 /* Return the set size needed for N elements.  */
     94 #define SBITMAP_SET_SIZE(N) (((N) + SBITMAP_ELT_BITS - 1) / SBITMAP_ELT_BITS)
     95 
     96 /* Return the number of bits in BITMAP.  */
     97 #define SBITMAP_SIZE(BITMAP) ((BITMAP)->n_bits)
     98 
     99 /* Test if bit number bitno in the bitmap is set.  */
    100 static inline SBITMAP_ELT_TYPE
    101 bitmap_bit_p (const_sbitmap map, int bitno)
    102 {
    103   size_t i = bitno / SBITMAP_ELT_BITS;
    104   unsigned int s = bitno % SBITMAP_ELT_BITS;
    105   return (map->elms[i] >> s) & (SBITMAP_ELT_TYPE) 1;
    106 }
    107 
    108 /* Set bit number BITNO in the sbitmap MAP.  */
    109 
    110 static inline void
    111 bitmap_set_bit (sbitmap map, int bitno)
    112 {
    113   gcc_checking_assert (! map->popcount);
    114   map->elms[bitno / SBITMAP_ELT_BITS]
    115     |= (SBITMAP_ELT_TYPE) 1 << (bitno) % SBITMAP_ELT_BITS;
    116 }
    117 
    118 /* Reset bit number BITNO in the sbitmap MAP.  */
    119 
    120 static inline void
    121 bitmap_clear_bit (sbitmap map, int bitno)
    122 {
    123   gcc_checking_assert (! map->popcount);
    124   map->elms[bitno / SBITMAP_ELT_BITS]
    125     &= ~((SBITMAP_ELT_TYPE) 1 << (bitno) % SBITMAP_ELT_BITS);
    126 }
    127 
    128 /* The iterator for sbitmap.  */
    129 typedef struct {
    130   /* The pointer to the first word of the bitmap.  */
    131   const SBITMAP_ELT_TYPE *ptr;
    132 
    133   /* The size of the bitmap.  */
    134   unsigned int size;
    135 
    136   /* The current word index.  */
    137   unsigned int word_num;
    138 
    139   /* The current bit index (not modulo SBITMAP_ELT_BITS).  */
    140   unsigned int bit_num;
    141 
    142   /* The words currently visited.  */
    143   SBITMAP_ELT_TYPE word;
    144 } sbitmap_iterator;
    145 
    146 /* Initialize the iterator I with sbitmap BMP and the initial index
    147    MIN.  */
    148 
    149 static inline void
    150 bmp_iter_set_init (sbitmap_iterator *i, const_sbitmap bmp,
    151 		   unsigned int min, unsigned *bit_no ATTRIBUTE_UNUSED)
    152 {
    153   i->word_num = min / (unsigned int) SBITMAP_ELT_BITS;
    154   i->bit_num = min;
    155   i->size = bmp->size;
    156   i->ptr = bmp->elms;
    157 
    158   if (i->word_num >= i->size)
    159     i->word = 0;
    160   else
    161     i->word = (i->ptr[i->word_num]
    162 	       >> (i->bit_num % (unsigned int) SBITMAP_ELT_BITS));
    163 }
    164 
    165 /* Return true if we have more bits to visit, in which case *N is set
    166    to the index of the bit to be visited.  Otherwise, return
    167    false.  */
    168 
    169 static inline bool
    170 bmp_iter_set (sbitmap_iterator *i, unsigned int *n)
    171 {
    172   /* Skip words that are zeros.  */
    173   for (; i->word == 0; i->word = i->ptr[i->word_num])
    174     {
    175       i->word_num++;
    176 
    177       /* If we have reached the end, break.  */
    178       if (i->word_num >= i->size)
    179 	return false;
    180 
    181       i->bit_num = i->word_num * SBITMAP_ELT_BITS;
    182     }
    183 
    184   /* Skip bits that are zero.  */
    185   for (; (i->word & 1) == 0; i->word >>= 1)
    186     i->bit_num++;
    187 
    188   *n = i->bit_num;
    189 
    190   return true;
    191 }
    192 
    193 /* Advance to the next bit.  */
    194 
    195 static inline void
    196 bmp_iter_next (sbitmap_iterator *i, unsigned *bit_no ATTRIBUTE_UNUSED)
    197 {
    198   i->word >>= 1;
    199   i->bit_num++;
    200 }
    201 
    202 /* Loop over all elements of SBITMAP, starting with MIN.  In each
    203    iteration, N is set to the index of the bit being visited.  ITER is
    204    an instance of sbitmap_iterator used to iterate the bitmap.  */
    205 
    206 #ifndef EXECUTE_IF_SET_IN_BITMAP
    207 /* See bitmap.h for the other definition of EXECUTE_IF_SET_IN_BITMAP.  */
    208 #define EXECUTE_IF_SET_IN_BITMAP(BITMAP, MIN, BITNUM, ITER)	\
    209   for (bmp_iter_set_init (&(ITER), (BITMAP), (MIN), &(BITNUM));	\
    210        bmp_iter_set (&(ITER), &(BITNUM));			\
    211        bmp_iter_next (&(ITER), &(BITNUM)))
    212 #endif
    213 
    214 inline void sbitmap_free (sbitmap map)
    215 {
    216   free (map->popcount);
    217   free (map);
    218 }
    219 
    220 inline void sbitmap_vector_free (sbitmap * vec)
    221 {
    222   free (vec);
    223 }
    224 
    225 extern void dump_bitmap (FILE *, const_sbitmap);
    226 extern void dump_bitmap_file (FILE *, const_sbitmap);
    227 extern void dump_bitmap_vector (FILE *, const char *, const char *, sbitmap *,
    228 				 int);
    229 extern sbitmap sbitmap_alloc (unsigned int);
    230 extern sbitmap sbitmap_alloc_with_popcount (unsigned int);
    231 extern sbitmap *sbitmap_vector_alloc (unsigned int, unsigned int);
    232 extern sbitmap sbitmap_resize (sbitmap, unsigned int, int);
    233 extern void bitmap_copy (sbitmap, const_sbitmap);
    234 extern int bitmap_equal_p (const_sbitmap, const_sbitmap);
    235 extern bool bitmap_empty_p (const_sbitmap);
    236 extern void bitmap_clear (sbitmap);
    237 extern void bitmap_ones (sbitmap);
    238 extern void bitmap_vector_clear (sbitmap *, unsigned int);
    239 extern void bitmap_vector_ones (sbitmap *, unsigned int);
    240 
    241 extern bool bitmap_ior_and_compl (sbitmap, const_sbitmap,
    242 				      const_sbitmap, const_sbitmap);
    243 extern void bitmap_and_compl (sbitmap, const_sbitmap, const_sbitmap);
    244 extern void bitmap_not (sbitmap, const_sbitmap);
    245 extern bool bitmap_or_and (sbitmap, const_sbitmap,
    246 				     const_sbitmap, const_sbitmap);
    247 extern bool bitmap_and_or (sbitmap, const_sbitmap,
    248 				     const_sbitmap, const_sbitmap);
    249 extern bool bitmap_intersect_p (const_sbitmap, const_sbitmap);
    250 extern bool bitmap_and (sbitmap, const_sbitmap, const_sbitmap);
    251 extern bool bitmap_ior (sbitmap, const_sbitmap, const_sbitmap);
    252 extern bool bitmap_xor (sbitmap, const_sbitmap, const_sbitmap);
    253 extern bool bitmap_subset_p (const_sbitmap, const_sbitmap);
    254 
    255 extern int bitmap_first_set_bit (const_sbitmap);
    256 extern int bitmap_last_set_bit (const_sbitmap);
    257 
    258 extern void debug_bitmap (const_sbitmap);
    259 extern sbitmap sbitmap_realloc (sbitmap, unsigned int);
    260 extern unsigned long sbitmap_popcount (const_sbitmap, unsigned long);
    261 #endif /* ! GCC_SBITMAP_H */
    262