/* Array bitsets. Copyright (C) 2002-2003, 2006, 2009-2015, 2018-2020 Free Software Foundation, Inc. Contributed by Michael Hayes (m.hayes@elec.canterbury.ac.nz). This program 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 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see . */ #include #include "bitset/array.h" #include #include #include /* This file implements fixed size bitsets stored as an array of words. Any unused bits in the last word must be zero. */ #define ABITSET_N_WORDS(N) (((N) + BITSET_WORD_BITS - 1) / BITSET_WORD_BITS) #define ABITSET_WORDS(X) ((X)->a.words) static bitset_bindex abitset_resize (bitset src, bitset_bindex size) { /* These bitsets have a fixed size. */ if (BITSET_SIZE_ (src) != size) abort (); return size; } /* Find list of up to NUM bits set in BSET starting from and including *NEXT and store in array LIST. Return with actual number of bits found and with *NEXT indicating where search stopped. */ static bitset_bindex abitset_small_list (bitset src, bitset_bindex *list, bitset_bindex num, bitset_bindex *next) { bitset_word word = ABITSET_WORDS (src)[0]; /* Short circuit common case. */ if (!word) return 0; bitset_windex size = BITSET_SIZE_ (src); bitset_bindex bitno = *next; if (bitno >= size) return 0; word >>= bitno; /* If num is 1, we could speed things up with a binary search of the word of interest. */ bitset_bindex count; if (num >= BITSET_WORD_BITS) { for (count = 0; word; bitno++) { if (word & 1) list[count++] = bitno; word >>= 1; } } else { for (count = 0; word; bitno++) { if (word & 1) { list[count++] = bitno; if (count >= num) { bitno++; break; } } word >>= 1; } } *next = bitno; return count; } /* Set bit BITNO in bitset DST. */ static void abitset_set (bitset dst MAYBE_UNUSED, bitset_bindex bitno MAYBE_UNUSED) { /* This should never occur for abitsets since we should always hit the cache. It is likely someone is trying to access outside the bounds of the bitset. */ abort (); } /* Reset bit BITNO in bitset DST. */ static void abitset_reset (bitset dst MAYBE_UNUSED, bitset_bindex bitno MAYBE_UNUSED) { /* This should never occur for abitsets since we should always hit the cache. It is likely someone is trying to access outside the bounds of the bitset. Since the bit is zero anyway, let it pass. */ } /* Test bit BITNO in bitset SRC. */ static bool abitset_test (bitset src MAYBE_UNUSED, bitset_bindex bitno MAYBE_UNUSED) { /* This should never occur for abitsets since we should always hit the cache. */ return false; } /* Find list of up to NUM bits set in BSET in reverse order, starting from and including NEXT and store in array LIST. Return with actual number of bits found and with *NEXT indicating where search stopped. */ static bitset_bindex abitset_list_reverse (bitset src, bitset_bindex *list, bitset_bindex num, bitset_bindex *next) { bitset_bindex rbitno = *next; bitset_word *srcp = ABITSET_WORDS (src); bitset_bindex n_bits = BITSET_SIZE_ (src); /* If num is 1, we could speed things up with a binary search of the word of interest. */ if (rbitno >= n_bits) return 0; bitset_bindex count = 0; bitset_bindex bitno = n_bits - (rbitno + 1); bitset_windex windex = bitno / BITSET_WORD_BITS; unsigned bitcnt = bitno % BITSET_WORD_BITS; bitset_bindex bitoff = windex * BITSET_WORD_BITS; do { bitset_word word = srcp[windex] << (BITSET_WORD_BITS - 1 - bitcnt); for (; word; bitcnt--) { if (word & BITSET_MSB) { list[count++] = bitoff + bitcnt; if (count >= num) { *next = n_bits - (bitoff + bitcnt); return count; } } word <<= 1; } bitoff -= BITSET_WORD_BITS; bitcnt = BITSET_WORD_BITS - 1; } while (windex--); *next = n_bits - (bitoff + 1); return count; } /* Find list of up to NUM bits set in BSET starting from and including *NEXT and store in array LIST. Return with actual number of bits found and with *NEXT indicating where search stopped. */ static bitset_bindex abitset_list (bitset src, bitset_bindex *list, bitset_bindex num, bitset_bindex *next) { bitset_windex windex; bitset_bindex bitoff; bitset_windex size = src->b.csize; bitset_word *srcp = ABITSET_WORDS (src); bitset_bindex bitno = *next; bitset_bindex count = 0; if (!bitno) { /* Many bitsets are zero, so make this common case fast. */ for (windex = 0; windex < size && !srcp[windex]; windex++) continue; if (windex >= size) return 0; /* If num is 1, we could speed things up with a binary search of the current word. */ bitoff = windex * BITSET_WORD_BITS; } else { if (bitno >= BITSET_SIZE_ (src)) return 0; windex = bitno / BITSET_WORD_BITS; bitno = bitno % BITSET_WORD_BITS; if (bitno) { /* Handle the case where we start within a word. Most often, this is executed with large bitsets with many set bits where we filled the array on the previous call to this function. */ bitoff = windex * BITSET_WORD_BITS; bitset_word word = srcp[windex] >> bitno; for (bitno = bitoff + bitno; word; bitno++) { if (word & 1) { list[count++] = bitno; if (count >= num) { *next = bitno + 1; return count; } } word >>= 1; } windex++; } bitoff = windex * BITSET_WORD_BITS; } for (; windex < size; windex++, bitoff += BITSET_WORD_BITS) { bitset_word word = srcp[windex]; if (!word) continue; if ((count + BITSET_WORD_BITS) < num) { for (bitno = bitoff; word; bitno++) { if (word & 1) list[count++] = bitno; word >>= 1; } } else { for (bitno = bitoff; word; bitno++) { if (word & 1) { list[count++] = bitno; if (count >= num) { *next = bitno + 1; return count; } } word >>= 1; } } } *next = bitoff; return count; } /* Ensure that any unused bits within the last word are clear. */ static inline void abitset_unused_clear (bitset dst) { unsigned last_bit = BITSET_SIZE_ (dst) % BITSET_WORD_BITS; if (last_bit) ABITSET_WORDS (dst)[dst->b.csize - 1] &= ((bitset_word) 1 << last_bit) - 1; } static void abitset_ones (bitset dst) { bitset_word *dstp = ABITSET_WORDS (dst); size_t bytes = sizeof (bitset_word) * dst->b.csize; memset (dstp, -1, bytes); abitset_unused_clear (dst); } static void abitset_zero (bitset dst) { bitset_word *dstp = ABITSET_WORDS (dst); size_t bytes = sizeof (bitset_word) * dst->b.csize; memset (dstp, 0, bytes); } static bool abitset_empty_p (bitset dst) { bitset_word *dstp = ABITSET_WORDS (dst); for (bitset_windex i = 0; i < dst->b.csize; i++) if (dstp[i]) return false; return true; } static void abitset_copy1 (bitset dst, bitset src) { bitset_word *srcp = ABITSET_WORDS (src); bitset_word *dstp = ABITSET_WORDS (dst); if (srcp == dstp) return; bitset_windex size = dst->b.csize; memcpy (dstp, srcp, sizeof (bitset_word) * size); } static void abitset_not (bitset dst, bitset src) { bitset_word *srcp = ABITSET_WORDS (src); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++) *dstp++ = ~(*srcp++); abitset_unused_clear (dst); } static bool abitset_equal_p (bitset dst, bitset src) { bitset_word *srcp = ABITSET_WORDS (src); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++) if (*srcp++ != *dstp++) return false; return true; } static bool abitset_subset_p (bitset dst, bitset src) { bitset_word *srcp = ABITSET_WORDS (src); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++, dstp++, srcp++) if (*dstp != (*srcp | *dstp)) return false; return true; } static bool abitset_disjoint_p (bitset dst, bitset src) { bitset_word *srcp = ABITSET_WORDS (src); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++) if (*srcp++ & *dstp++) return false; return true; } static void abitset_and (bitset dst, bitset src1, bitset src2) { bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++) *dstp++ = *src1p++ & *src2p++; } static bool abitset_and_cmp (bitset dst, bitset src1, bitset src2) { bool changed = false; bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++, dstp++) { bitset_word tmp = *src1p++ & *src2p++; if (*dstp != tmp) { changed = true; *dstp = tmp; } } return changed; } static void abitset_andn (bitset dst, bitset src1, bitset src2) { bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++) *dstp++ = *src1p++ & ~(*src2p++); } static bool abitset_andn_cmp (bitset dst, bitset src1, bitset src2) { bool changed = false; bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++, dstp++) { bitset_word tmp = *src1p++ & ~(*src2p++); if (*dstp != tmp) { changed = true; *dstp = tmp; } } return changed; } static void abitset_or (bitset dst, bitset src1, bitset src2) { bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++) *dstp++ = *src1p++ | *src2p++; } static bool abitset_or_cmp (bitset dst, bitset src1, bitset src2) { bool changed = false; bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++, dstp++) { bitset_word tmp = *src1p++ | *src2p++; if (*dstp != tmp) { changed = true; *dstp = tmp; } } return changed; } static void abitset_xor (bitset dst, bitset src1, bitset src2) { bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++) *dstp++ = *src1p++ ^ *src2p++; } static bool abitset_xor_cmp (bitset dst, bitset src1, bitset src2) { bool changed = false; bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++, dstp++) { bitset_word tmp = *src1p++ ^ *src2p++; if (*dstp != tmp) { changed = true; *dstp = tmp; } } return changed; } static void abitset_and_or (bitset dst, bitset src1, bitset src2, bitset src3) { bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *src3p = ABITSET_WORDS (src3); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++) *dstp++ = (*src1p++ & *src2p++) | *src3p++; } static bool abitset_and_or_cmp (bitset dst, bitset src1, bitset src2, bitset src3) { bool changed = false; bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *src3p = ABITSET_WORDS (src3); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++, dstp++) { bitset_word tmp = (*src1p++ & *src2p++) | *src3p++; if (*dstp != tmp) { changed = true; *dstp = tmp; } } return changed; } static void abitset_andn_or (bitset dst, bitset src1, bitset src2, bitset src3) { bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *src3p = ABITSET_WORDS (src3); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++) *dstp++ = (*src1p++ & ~(*src2p++)) | *src3p++; } static bool abitset_andn_or_cmp (bitset dst, bitset src1, bitset src2, bitset src3) { bool changed = false; bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *src3p = ABITSET_WORDS (src3); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++, dstp++) { bitset_word tmp = (*src1p++ & ~(*src2p++)) | *src3p++; if (*dstp != tmp) { changed = true; *dstp = tmp; } } return changed; } static void abitset_or_and (bitset dst, bitset src1, bitset src2, bitset src3) { bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *src3p = ABITSET_WORDS (src3); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++) *dstp++ = (*src1p++ | *src2p++) & *src3p++; } static bool abitset_or_and_cmp (bitset dst, bitset src1, bitset src2, bitset src3) { bool changed = false; bitset_word *src1p = ABITSET_WORDS (src1); bitset_word *src2p = ABITSET_WORDS (src2); bitset_word *src3p = ABITSET_WORDS (src3); bitset_word *dstp = ABITSET_WORDS (dst); bitset_windex size = dst->b.csize; for (bitset_windex i = 0; i < size; i++, dstp++) { bitset_word tmp = (*src1p++ | *src2p++) & *src3p++; if (*dstp != tmp) { changed = true; *dstp = tmp; } } return changed; } static void abitset_copy (bitset dst, bitset src) { if (BITSET_COMPATIBLE_ (dst, src)) abitset_copy1 (dst, src); else bitset_copy_ (dst, src); } /* Vector of operations for single word bitsets. */ struct bitset_vtable abitset_small_vtable = { abitset_set, abitset_reset, bitset_toggle_, abitset_test, abitset_resize, bitset_size_, bitset_count_, abitset_empty_p, abitset_ones, abitset_zero, abitset_copy, abitset_disjoint_p, abitset_equal_p, abitset_not, abitset_subset_p, abitset_and, abitset_and_cmp, abitset_andn, abitset_andn_cmp, abitset_or, abitset_or_cmp, abitset_xor, abitset_xor_cmp, abitset_and_or, abitset_and_or_cmp, abitset_andn_or, abitset_andn_or_cmp, abitset_or_and, abitset_or_and_cmp, abitset_small_list, abitset_list_reverse, NULL, BITSET_ARRAY }; /* Vector of operations for multiple word bitsets. */ struct bitset_vtable abitset_vtable = { abitset_set, abitset_reset, bitset_toggle_, abitset_test, abitset_resize, bitset_size_, bitset_count_, abitset_empty_p, abitset_ones, abitset_zero, abitset_copy, abitset_disjoint_p, abitset_equal_p, abitset_not, abitset_subset_p, abitset_and, abitset_and_cmp, abitset_andn, abitset_andn_cmp, abitset_or, abitset_or_cmp, abitset_xor, abitset_xor_cmp, abitset_and_or, abitset_and_or_cmp, abitset_andn_or, abitset_andn_or_cmp, abitset_or_and, abitset_or_and_cmp, abitset_list, abitset_list_reverse, NULL, BITSET_ARRAY }; size_t abitset_bytes (bitset_bindex n_bits) { size_t header_size = offsetof (union bitset_union, a.words); struct bitset_align_struct { char a; union bitset_union b; }; size_t bitset_alignment = offsetof (struct bitset_align_struct, b); bitset_windex size = ABITSET_N_WORDS (n_bits); size_t bytes = header_size + size * sizeof (bitset_word); /* Align the size properly for a vector of abitset objects. */ if (header_size % bitset_alignment != 0 || sizeof (bitset_word) % bitset_alignment != 0) { bytes += bitset_alignment - 1; bytes -= bytes % bitset_alignment; } return bytes; } bitset abitset_init (bitset bset, bitset_bindex n_bits) { bitset_windex size = ABITSET_N_WORDS (n_bits); BITSET_NBITS_ (bset) = n_bits; /* Use optimized routines if bitset fits within a single word. There is probably little merit if using caching since the small bitset will always fit in the cache. */ bset->b.vtable = size == 1 ? &abitset_small_vtable : &abitset_vtable; bset->b.cindex = 0; bset->b.csize = size; bset->b.cdata = ABITSET_WORDS (bset); return bset; }