github.com/ttpreport/gvisor-ligolo@v0.0.0-20240123134145-a858404967ba/pkg/bitmap/bitmap.go (about) 1 // Copyright 2021 The gVisor Authors. 2 // 3 // Licensed under the Apache License, Version 2.0 (the "License"); 4 // you may not use this file except in compliance with the License. 5 // You may obtain a copy of the License at 6 // 7 // http://www.apache.org/licenses/LICENSE-2.0 8 // 9 // Unless required by applicable law or agreed to in writing, software 10 // distributed under the License is distributed on an "AS IS" BASIS, 11 // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 12 // See the License for the specific language governing permissions and 13 // limitations under the License. 14 15 // Package bitmap provides the implementation of bitmap. 16 package bitmap 17 18 import ( 19 "fmt" 20 "math" 21 "math/bits" 22 ) 23 24 // MaxBitEntryLimit defines the upper limit on how many bit entries are supported by this Bitmap 25 // implementation. 26 const MaxBitEntryLimit uint32 = math.MaxInt32 27 28 // Bitmap implements an efficient bitmap. 29 // 30 // +stateify savable 31 type Bitmap struct { 32 // numOnes is the number of ones in the bitmap. 33 numOnes uint32 34 35 // bitBlock holds the bits. The type of bitBlock is uint64 which means 36 // each number in bitBlock contains 64 entries. 37 bitBlock []uint64 38 } 39 40 // New create a new empty Bitmap. 41 func New(size uint32) Bitmap { 42 b := Bitmap{} 43 bSize := (size + 63) / 64 44 b.bitBlock = make([]uint64, bSize) 45 return b 46 } 47 48 // IsEmpty verifies whether the Bitmap is empty. 49 func (b *Bitmap) IsEmpty() bool { 50 return b.numOnes == 0 51 } 52 53 // Size returns the total number of bits in the bitmap. 54 func (b *Bitmap) Size() int { 55 return len(b.bitBlock) * 64 56 } 57 58 // Grow grows the bitmap by at least toGrow bits. 59 func (b *Bitmap) Grow(toGrow uint32) error { 60 newbitBlockSize := uint32(len(b.bitBlock)) + ((toGrow + 63) / 64) 61 if newbitBlockSize > MaxBitEntryLimit/8 { 62 return fmt.Errorf("requested bitmap size %d too large", newbitBlockSize*64) 63 } 64 bits := make([]uint64, (toGrow+63)/64) 65 b.bitBlock = append(b.bitBlock, bits...) 66 return nil 67 } 68 69 // Minimum return the smallest value in the Bitmap. 70 func (b *Bitmap) Minimum() uint32 { 71 for i := 0; i < len(b.bitBlock); i++ { 72 if w := b.bitBlock[i]; w != 0 { 73 r := bits.TrailingZeros64(w) 74 return uint32(r + i*64) 75 } 76 } 77 return MaxBitEntryLimit 78 } 79 80 // FirstZero returns the first unset bit from the range [start, ). 81 func (b *Bitmap) FirstZero(start uint32) (bit uint32, err error) { 82 i, nbit := int(start/64), start%64 83 n := len(b.bitBlock) 84 if i >= n { 85 return MaxBitEntryLimit, fmt.Errorf("given start of range exceeds bitmap size") 86 } 87 w := b.bitBlock[i] | ((1 << nbit) - 1) 88 for { 89 if w != ^uint64(0) { 90 r := bits.TrailingZeros64(^w) 91 return uint32(r + i*64), nil 92 } 93 i++ 94 if i == n { 95 break 96 } 97 w = b.bitBlock[i] 98 } 99 return MaxBitEntryLimit, fmt.Errorf("bitmap has no unset bits") 100 } 101 102 // FirstOne returns the first set bit from the range [start, ) 103 func (b *Bitmap) FirstOne(start uint32) (bit uint32, err error) { 104 i, nbit := int(start/64), start%64 105 n := len(b.bitBlock) 106 if i >= n { 107 return MaxBitEntryLimit, fmt.Errorf("given start of range exceeds bitmap size") 108 } 109 w := b.bitBlock[i] & (math.MaxUint64 << nbit) 110 for { 111 if w != uint64(0) { 112 r := bits.TrailingZeros64(w) 113 return uint32(r + i*64), nil 114 } 115 i++ 116 if i == n { 117 break 118 } 119 w = b.bitBlock[i] 120 } 121 return MaxBitEntryLimit, fmt.Errorf("bitmap has no set bits") 122 } 123 124 // Maximum return the largest value in the Bitmap. 125 func (b *Bitmap) Maximum() uint32 { 126 for i := len(b.bitBlock) - 1; i >= 0; i-- { 127 if w := b.bitBlock[i]; w != 0 { 128 r := bits.LeadingZeros64(w) 129 return uint32(i*64 + 63 - r) 130 } 131 } 132 return uint32(0) 133 } 134 135 // Add add i to the Bitmap. 136 func (b *Bitmap) Add(i uint32) { 137 blockNum, mask := i/64, uint64(1)<<(i%64) 138 // if blockNum is out of range, extend b.bitBlock 139 if x, y := int(blockNum), len(b.bitBlock); x >= y { 140 b.bitBlock = append(b.bitBlock, make([]uint64, x-y+1)...) 141 } 142 oldBlock := b.bitBlock[blockNum] 143 newBlock := oldBlock | mask 144 if oldBlock != newBlock { 145 b.bitBlock[blockNum] = newBlock 146 b.numOnes++ 147 } 148 } 149 150 // Remove i from the Bitmap. 151 func (b *Bitmap) Remove(i uint32) { 152 blockNum, mask := i/64, uint64(1)<<(i%64) 153 oldBlock := b.bitBlock[blockNum] 154 newBlock := oldBlock &^ mask 155 if oldBlock != newBlock { 156 b.bitBlock[blockNum] = newBlock 157 b.numOnes-- 158 } 159 } 160 161 // Clone the Bitmap. 162 func (b *Bitmap) Clone() Bitmap { 163 bitmap := Bitmap{b.numOnes, make([]uint64, len(b.bitBlock))} 164 copy(bitmap.bitBlock, b.bitBlock[:]) 165 return bitmap 166 } 167 168 // countOnesForBlocks count all 1 bits within b.bitBlock of begin and that of end. 169 // The begin block and end block are inclusive. 170 func (b *Bitmap) countOnesForBlocks(begin, end uint32) uint64 { 171 ones := uint64(0) 172 beginBlock := begin / 64 173 endBlock := end / 64 174 for i := beginBlock; i <= endBlock; i++ { 175 ones += uint64(bits.OnesCount64(b.bitBlock[i])) 176 } 177 return ones 178 } 179 180 // countOnesForAllBlocks count all 1 bits in b.bitBlock. 181 func (b *Bitmap) countOnesForAllBlocks() uint64 { 182 ones := uint64(0) 183 for i := 0; i < len(b.bitBlock); i++ { 184 ones += uint64(bits.OnesCount64(b.bitBlock[i])) 185 } 186 return ones 187 } 188 189 // flipRange flip the bits within range (begin and end). begin is inclusive and end is exclusive. 190 func (b *Bitmap) flipRange(begin, end uint32) { 191 end-- 192 beginBlock := begin / 64 193 endBlock := end / 64 194 if beginBlock == endBlock { 195 b.bitBlock[endBlock] ^= ((^uint64(0) << uint(begin%64)) & ((uint64(1) << (uint(end)%64 + 1)) - 1)) 196 } else { 197 b.bitBlock[beginBlock] ^= ^(^uint64(0) << uint(begin%64)) 198 for i := beginBlock; i < endBlock; i++ { 199 b.bitBlock[i] = ^b.bitBlock[i] 200 } 201 b.bitBlock[endBlock] ^= ((uint64(1) << (uint(end)%64 + 1)) - 1) 202 } 203 } 204 205 // clearRange clear the bits within range (begin and end). begin is inclusive and end is exclusive. 206 func (b *Bitmap) clearRange(begin, end uint32) { 207 end-- 208 beginBlock := begin / 64 209 endBlock := end / 64 210 if beginBlock == endBlock { 211 b.bitBlock[beginBlock] &= (((uint64(1) << uint(begin%64)) - 1) | ^((uint64(1) << (uint(end)%64 + 1)) - 1)) 212 } else { 213 b.bitBlock[beginBlock] &= ((uint64(1) << uint(begin%64)) - 1) 214 for i := beginBlock + 1; i < endBlock; i++ { 215 b.bitBlock[i] &= ^b.bitBlock[i] 216 } 217 b.bitBlock[endBlock] &= ^((uint64(1) << (uint(end)%64 + 1)) - 1) 218 } 219 } 220 221 // ClearRange clear bits within range (begin and end) for the Bitmap. begin is inclusive and end is exclusive. 222 func (b *Bitmap) ClearRange(begin, end uint32) { 223 blockRange := end/64 - begin/64 224 // When the number of cleared blocks is larger than half of the length of b.bitBlock, 225 // counting 1s for the entire bitmap has better performance. 226 if blockRange > uint32(len(b.bitBlock)/2) { 227 b.clearRange(begin, end) 228 b.numOnes = uint32(b.countOnesForAllBlocks()) 229 } else { 230 oldRangeOnes := b.countOnesForBlocks(begin, end) 231 b.clearRange(begin, end) 232 newRangeOnes := b.countOnesForBlocks(begin, end) 233 b.numOnes += uint32(newRangeOnes - oldRangeOnes) 234 } 235 } 236 237 // FlipRange flip bits within range (begin and end) for the Bitmap. begin is inclusive and end is exclusive. 238 func (b *Bitmap) FlipRange(begin, end uint32) { 239 blockRange := end/64 - begin/64 240 // When the number of flipped blocks is larger than half of the length of b.bitBlock, 241 // counting 1s for the entire bitmap has better performance. 242 if blockRange > uint32(len(b.bitBlock)/2) { 243 b.flipRange(begin, end) 244 b.numOnes = uint32(b.countOnesForAllBlocks()) 245 } else { 246 oldRangeOnes := b.countOnesForBlocks(begin, end) 247 b.flipRange(begin, end) 248 newRangeOnes := b.countOnesForBlocks(begin, end) 249 b.numOnes += uint32(newRangeOnes - oldRangeOnes) 250 } 251 } 252 253 // ForEach calls `f` for each set bit in the range [start, end). 254 // 255 // If f returns false, ForEach stops the iteration. 256 func (b *Bitmap) ForEach(start, end uint32, f func(idx uint32) bool) { 257 blockEnd := (end + 63) / 64 258 if blockEnd > uint32(len(b.bitBlock)) { 259 blockEnd = uint32(len(b.bitBlock)) 260 } 261 // base is the start number of a bitBlock 262 base := start / 64 * 64 263 blockMask := ^((uint64(1) << (start % 64)) - 1) 264 for i := start / 64; i < blockEnd; i++ { 265 if i == end/64 { 266 blockMask &= (uint64(1) << (end % 64)) - 1 267 } 268 bitBlock := b.bitBlock[i] & blockMask 269 blockMask = ^uint64(0) 270 // Iterate through all the numbers held by this bit block. 271 for bitBlock != 0 { 272 // Extract the lowest set 1 bit. 273 j := bitBlock & -bitBlock 274 // Interpret the bit as the in32 number it represents and add it to result. 275 idx := base + uint32(bits.OnesCount64(j-1)) 276 if !f(idx) { 277 return 278 } 279 bitBlock ^= j 280 } 281 base += 64 282 } 283 } 284 285 // ToSlice transform the Bitmap into slice. For example, a bitmap of [0, 1, 0, 1] 286 // will return the slice [1, 3]. 287 func (b *Bitmap) ToSlice() []uint32 { 288 bitmapSlice := make([]uint32, 0, b.numOnes) 289 // base is the start number of a bitBlock 290 base := 0 291 for i := 0; i < len(b.bitBlock); i++ { 292 bitBlock := b.bitBlock[i] 293 // Iterate through all the numbers held by this bit block. 294 for bitBlock != 0 { 295 // Extract the lowest set 1 bit. 296 j := bitBlock & -bitBlock 297 // Interpret the bit as the in32 number it represents and add it to result. 298 bitmapSlice = append(bitmapSlice, uint32((base + int(bits.OnesCount64(j-1))))) 299 bitBlock ^= j 300 } 301 base += 64 302 } 303 return bitmapSlice 304 } 305 306 // GetNumOnes return the the number of ones in the Bitmap. 307 func (b *Bitmap) GetNumOnes() uint32 { 308 return b.numOnes 309 }