src/ds/dbitset/lib.hpp
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| 1 | #pragma once | ||
| 2 | |||
| 3 | #include "../../bit/parity/lib.hpp" | ||
| 4 | #include "../../util/traits/math/lib.hpp" | ||
| 5 | #include "../../util/traits/others/lib.hpp" | ||
| 6 | |||
| 7 | namespace tifa_libs { | ||
| 8 | |||
| 9 | struct dbitset { | ||
| 10 | using word_t = u64; | ||
| 11 | static CEXP u32 word_width = 64; | ||
| 12 | |||
| 13 | protected: | ||
| 14 | u64 sz; | ||
| 15 | vec<word_t> data; | ||
| 16 | |||
| 17 | 104824816 | static CEXP auto idx_word(u64 n) NE { return u32(n / word_width); } | |
| 18 | 105090223 | static CEXP auto idx_bit(u64 n) NE { return (u32)n % word_width; } | |
| 19 | 225 | static CEXP auto word_count(u64 n) NE { return idx_word(n) + !!idx_bit(n); } | |
| 20 | 38259186 | static CEXP auto mask_bit(u64 n) NE { return 1_u64 << idx_bit(n); } | |
| 21 | 253071 | static CEXP u64 mask_outrange(u64 n) NE { | |
| 22 |
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253071 | if (!idx_bit(n)) return 0; |
| 23 | 58 | return -1_u64 << idx_bit(n); | |
| 24 | } | ||
| 25 | |||
| 26 | 16 | CEXP void lsh_(umost64_c auto n) NE { | |
| 27 |
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16 | if (data.empty()) { |
| 28 | ✗ | bit_resize(n); | |
| 29 | ✗ | return; | |
| 30 | } | ||
| 31 |
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16 | if (!n) return; |
| 32 | 16 | const auto pre = data.size(); | |
| 33 | 16 | cu32 w = idx_word(n), ofs = idx_bit(n); | |
| 34 | 16 | data.resize(data.size() + w); | |
| 35 |
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16 | if (!ofs) |
| 36 | ✗ | for (auto i = pre - 1; ~i; --i) data[i + w] = data[i]; | |
| 37 | else { | ||
| 38 | 16 | cu32 cofs = word_width - ofs; | |
| 39 |
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16 | for (auto i = pre - 1; i; --i) data[i + w] = data[i] << ofs | data[i - 1] >> cofs; |
| 40 | 16 | data[w] = data[0] << ofs; | |
| 41 | } | ||
| 42 | 16 | fill(begin(data), begin(data) + w, 0), sz += n; | |
| 43 | } | ||
| 44 | 16 | CEXP void rsh_(umost64_c auto n) NE { | |
| 45 |
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16 | if (n >= sz) { |
| 46 | ✗ | sz = 0, data.clear(); | |
| 47 | ✗ | return; | |
| 48 | } | ||
| 49 |
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16 | if (!n) return; |
| 50 | 16 | cu32 w = idx_word(n), ofs = idx_bit(n); | |
| 51 | 16 | cu32 lim = word_size() - w - 1; | |
| 52 |
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16 | if (!ofs) |
| 53 | ✗ | flt_ (u32, i, 0, lim + 1) data[i] = data[i + w]; | |
| 54 | else { | ||
| 55 | 16 | cu32 cofs = word_width - ofs; | |
| 56 |
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16 | flt_ (u32, i, 0, lim) data[i] = data[i + w] >> ofs | data[i + w + 1] << cofs; |
| 57 | 16 | data[lim] = data.back() >> ofs; | |
| 58 | } | ||
| 59 | 16 | data.resize(data.size() - w), sz -= n; | |
| 60 | } | ||
| 61 | |||
| 62 | public: | ||
| 63 | 187 | CEXPE dbitset(usz n, bool val = false) NE { bit_resize(n, val); } | |
| 64 | CEXP dbitset(usz n, int_c auto val) NE { from_integer(val, n); } | ||
| 65 | template <class F> | ||
| 66 | requires requires(F f) { { f() } -> std::same_as<word_t>; } | ||
| 67 | 38 | CEXP dbitset(usz n, F&& gen) NE { set(std::forward<F>(gen), n); } | |
| 68 | CEXP dbitset(strnv s, usz pos = 0, usz n = -1_usz, chr zero = '0', chr one = '1') NE { set(s, pos, n, zero, one); } | ||
| 69 | |||
| 70 | CEXP dbitset& from_integer(int_c auto val, usz n = -1_usz) NE { | ||
| 71 | const auto nbits = min({n, sizeof(val) * 8}); | ||
| 72 | if (bit_resize(nbits); val && !data.empty()) { | ||
| 73 | if CEXP (sizeof(val) * 8 <= word_width) data[0] = (word_t)val & ~mask_outrange(sz); | ||
| 74 | else { | ||
| 75 | for (u32 i = 0; i < data.size() && val; val >>= word_width, ++i) data[i] = (word_t)val; | ||
| 76 | data.back() &= ~mask_outrange(sz); | ||
| 77 | } | ||
| 78 | } | ||
| 79 | return *this; | ||
| 80 | } | ||
| 81 | CEXP dbitset& set(strnv s, usz pos = 0, usz n = -1_usz, chr = '0', chr one = '1') NE { | ||
| 82 | const auto nbits = min({sz, n, s.size() - pos}); | ||
| 83 | bit_resize(nbits); | ||
| 84 | for (usz i = nbits; i; --i) | ||
| 85 | if (s[pos + nbits - i] == one) set(i - 1); | ||
| 86 | return *this; | ||
| 87 | } | ||
| 88 | template <class F> | ||
| 89 | requires requires(F f) { { f() } -> std::same_as<word_t>; } | ||
| 90 | 38 | CEXP dbitset& set(F&& gen, usz n) NE { | |
| 91 | 38 | bit_resize(n); | |
| 92 |
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38 | if (!data.empty()) |
| 93 |
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148687 | for (auto& i : data) i = gen(); |
| 94 | 38 | return *this; | |
| 95 | } | ||
| 96 | |||
| 97 |
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10262 | friend CEXP bool operator==(dbitset CR l, dbitset CR r) NE { return l.sz == r.sz && l.data == r.data; } |
| 98 | |||
| 99 | 555 | ND CEXP u64 find_first() CNE { | |
| 100 |
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588 | flt_ (u32, i, 0, word_size()) |
| 101 |
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552 | if (data[i]) return i * 64_u64 + (u32)std::countr_zero(data[i]); |
| 102 | 36 | return sz; | |
| 103 | } | ||
| 104 | 66565612 | ND CEXP u64 find_next(u64 prev) CNE { | |
| 105 |
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66565612 | if (++prev >= sz) return sz; |
| 106 | 66565329 | size_t i = idx_word(prev); | |
| 107 |
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66565329 | if (const word_t _ = data[i] & -1_u64 << idx_bit(prev); _) return i * word_width + (u32)std::countr_zero(_); |
| 108 |
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1037079 | for (++i; i < word_size(); ++i) |
| 109 |
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1036836 | if (data[i]) return i * word_width + (u32)std::countr_zero(data[i]); |
| 110 | 243 | return sz; | |
| 111 | } | ||
| 112 | |||
| 113 | 297296 | CEXP auto& raw() NE { return data; } | |
| 114 | 28712197 | ND CEXP word_t CR getword(usz n) CNE { return data[idx_word(n)]; } | |
| 115 | 9547033 | CEXP word_t& getword(usz n) NE { return data[idx_word(n)]; } | |
| 116 | 28712197 | CEXP bool operator[](usz n) CNE { return getword(n) & mask_bit(n); } | |
| 117 | |||
| 118 | 12318 | ND CEXP bool all() CNE { | |
| 119 |
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12318 | if (data.empty()) return false; |
| 120 |
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12322 | flt_ (u32, i, 0, (u32)data.size() - !!idx_bit(sz)) |
| 121 |
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12318 | if (~data[i]) return false; |
| 122 |
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4 | if (idx_bit(sz)) return (data.back() & ~mask_outrange(sz)) == ~mask_outrange(sz); |
| 123 | 4 | return true; | |
| 124 | } | ||
| 125 | 45216 | ND CEXP bool any() CNE { | |
| 126 |
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45216 | if (data.empty()) return false; |
| 127 |
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46457 | for (auto i : data) |
| 128 |
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45216 | if (i) return true; |
| 129 | 1241 | return false; | |
| 130 | } | ||
| 131 | 22683 | ND CEXP bool none() CNE { | |
| 132 |
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22683 | if (data.empty()) return false; |
| 133 | 22683 | return !any(); | |
| 134 | } | ||
| 135 | 322490 | ND CEXP u64 count() CNE { | |
| 136 | 322490 | u64 ans = 0; | |
| 137 |
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644980 | for (const auto i : data) ans += (u32)std::popcount(i); |
| 138 | 322490 | return ans; | |
| 139 | } | ||
| 140 | 75 | ND CEXP bool parity() CNE { | |
| 141 | 75 | bool ans = false; | |
| 142 |
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297386 | for (const auto i : data) ans ^= ::tifa_libs::parity(i); |
| 143 | 75 | return ans; | |
| 144 | } | ||
| 145 | |||
| 146 | 4755043 | ND CEXP u64 CR size() CNE { return sz; } | |
| 147 | 1290342 | ND CEXP u32 word_size() CNE { return (u32)data.size(); } | |
| 148 | 225 | CEXP void bit_resize(usz n, bool val = false) NE { | |
| 149 |
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225 | data.resize(word_count(sz = n), val ? -1_u64 : 0); |
| 150 |
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225 | if (val && !data.empty()) data.back() &= ~mask_outrange(sz); |
| 151 | 225 | } | |
| 152 | |||
| 153 | #define OP__(op) \ | ||
| 154 | CEXP dbitset& operator op## = (dbitset CR r)NE { \ | ||
| 155 | if (r.sz > sz) data.resize(r.word_size()), sz = r.sz; \ | ||
| 156 | if (data.empty()) return *this; \ | ||
| 157 | flt_ (u32, i, 0, r.word_size()) data[i] op## = r.data[i]; \ | ||
| 158 | data.back() &= ~mask_outrange(sz); \ | ||
| 159 | return *this; \ | ||
| 160 | } \ | ||
| 161 | CEXP dbitset operator op(dbitset CR r) CNE { return dbitset(*this) op## = r; } | ||
| 162 |
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754662 | OP__(&) |
| 163 |
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1298 | OP__(|) |
| 164 |
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764 | OP__(^) |
| 165 | #undef OP__ | ||
| 166 | 379 | CEXP dbitset operator~() CNE { return dbitset(*this).flip(); } | |
| 167 | 16 | CEXP dbitset& operator<<=(imost64_c auto n) NE { | |
| 168 |
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16 | if (n < 0) [[unlikely]] |
| 169 | ✗ | rsh_((to_uint_t<decltype(n)>)-n); | |
| 170 | 16 | else lsh_((to_uint_t<decltype(n)>)n); | |
| 171 | 16 | return *this; | |
| 172 | } | ||
| 173 | 16 | CEXP dbitset operator<<(imost64_c auto n) CNE { return dbitset(*this) <<= n; } | |
| 174 | 16 | CEXP dbitset& operator>>=(imost64_c auto n) NE { | |
| 175 |
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16 | if (n < 0) [[unlikely]] |
| 176 | ✗ | lsh_((to_uint_t<decltype(n)>)-n); | |
| 177 | 16 | else rsh_((to_uint_t<decltype(n)>)n); | |
| 178 | 16 | return *this; | |
| 179 | } | ||
| 180 | 16 | CEXP dbitset operator>>(imost64_c auto n) CNE { return dbitset(*this) >>= n; } | |
| 181 | |||
| 182 | CEXP dbitset& set() NE { | ||
| 183 | fill(data, -1_u64); | ||
| 184 | if (!data.empty()) data.back() &= ~mask_outrange(sz); | ||
| 185 | return *this; | ||
| 186 | } | ||
| 187 | 9524016 | CEXP dbitset& set(usz pos, bool val = true) NE { | |
| 188 |
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9524016 | if (val) getword(pos) |= mask_bit(pos); |
| 189 | 4757681 | else return reset(pos); | |
| 190 | 4766335 | return *this; | |
| 191 | } | ||
| 192 | CEXP dbitset& reset() NE { | ||
| 193 | fill(data, 0); | ||
| 194 | return *this; | ||
| 195 | } | ||
| 196 | 4768994 | CEXP dbitset& reset(usz pos) NE { | |
| 197 | 4768994 | getword(pos) &= ~mask_bit(pos); | |
| 198 | 4768994 | return *this; | |
| 199 | } | ||
| 200 | 379 | CEXP dbitset& flip() NE { | |
| 201 |
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758 | for (auto& i : data) i = ~i; |
| 202 |
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379 | if (!data.empty()) data.back() &= ~mask_outrange(sz); |
| 203 | 379 | return *this; | |
| 204 | } | ||
| 205 | 11660 | CEXP dbitset& flip(usz pos) NE { | |
| 206 | 11660 | getword(pos) ^= mask_bit(pos); | |
| 207 | 11660 | return *this; | |
| 208 | } | ||
| 209 | |||
| 210 | 555 | ND CEXP strn to_string(chr zero = '0', chr one = '1') CNE { | |
| 211 | 555 | strn ans(sz, zero); | |
| 212 |
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555 | if (zero != one) [[likely]] |
| 213 |
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57056924 | for (auto n = find_first(); n < sz; n = find_next(n)) ans[sz - n - 1] = one; |
| 214 | 555 | return ans; | |
| 215 | } | ||
| 216 | template <int_c T> | ||
| 217 | 22650 | ND CEXP T to_integer() CNE { | |
| 218 | if CEXP (sizeof(T) * 8 <= word_width) { | ||
| 219 |
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22650 | retif_((data.empty()) [[unlikely]], (T)0, (T)data[0]); |
| 220 | } else { | ||
| 221 | retif_((data.empty()) [[unlikely]], (T)0); | ||
| 222 | retif_((data.size() > 1), (T)data[1] << word_width | (T)data[0], (T)data[0]); | ||
| 223 | } | ||
| 224 | } | ||
| 225 | ND CEXP auto to_u32() CNE { return to_integer<u32>(); } | ||
| 226 | 22650 | ND CEXP auto to_u64() CNE { return to_integer<u64>(); } | |
| 227 | ND CEXP auto to_ulong() CNE { return to_integer<unsigned long>(); } | ||
| 228 | ND CEXP auto to_ullong() CNE { return to_integer<unsigned long long>(); } | ||
| 229 | |||
| 230 | friend auto& operator>>(istream_c auto& is, dbitset& b) NE { | ||
| 231 | strn s; | ||
| 232 | (is >> s), b.set(s); | ||
| 233 | return is; | ||
| 234 | } | ||
| 235 | 90 | friend auto& operator<<(ostream_c auto& os, dbitset CR b) NE { return os << b.to_string(); } | |
| 236 | }; | ||
| 237 | |||
| 238 | } // namespace tifa_libs | ||
| 239 |