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Diffstat (limited to 'pkg/bitmap/bitmap.go')
-rw-r--r-- | pkg/bitmap/bitmap.go | 212 |
1 files changed, 212 insertions, 0 deletions
diff --git a/pkg/bitmap/bitmap.go b/pkg/bitmap/bitmap.go new file mode 100644 index 000000000..40cf88103 --- /dev/null +++ b/pkg/bitmap/bitmap.go @@ -0,0 +1,212 @@ +// Copyright 2021 The gVisor Authors. +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +// Package bitmap provides the implementation of bitmap. +package bitmap + +import ( + "math" + "math/bits" +) + +// Bitmap implements an efficient bitmap. +// +// +stateify savable +type Bitmap struct { + // numOnes is the number of ones in the bitmap. + numOnes uint32 + + // bitBlock holds the bits. The type of bitBlock is uint64 which means + // each number in bitBlock contains 64 entries. + bitBlock []uint64 +} + +// BitmapWithSize create a new empty Bitmap. +func BitmapWithSize(size uint32) Bitmap { + b := Bitmap{} + bSize := (size + 63) / 64 + b.bitBlock = make([]uint64, bSize) + return b +} + +// IsEmpty verifies whether the Bitmap is empty. +func (b *Bitmap) IsEmpty() bool { + return b.numOnes == 0 +} + +// Minimum return the smallest value in the Bitmap. +func (b *Bitmap) Minimum() uint32 { + for i := 0; i < len(b.bitBlock); i++ { + if w := b.bitBlock[i]; w != 0 { + r := bits.TrailingZeros64(w) + return uint32(r + i*64) + } + } + return math.MaxInt32 +} + +// Maximum return the largest value in the Bitmap. +func (b *Bitmap) Maximum() uint32 { + for i := len(b.bitBlock) - 1; i >= 0; i-- { + if w := b.bitBlock[i]; w != 0 { + r := bits.LeadingZeros64(w) + return uint32(i*64 + 63 - r) + } + } + return uint32(0) +} + +// Add add i to the Bitmap. +func (b *Bitmap) Add(i uint32) { + blockNum, mask := i/64, uint64(1)<<(i%64) + // if blockNum is out of range, extend b.bitBlock + if x, y := int(blockNum), len(b.bitBlock); x >= y { + b.bitBlock = append(b.bitBlock, make([]uint64, x-y+1)...) + } + oldBlock := b.bitBlock[blockNum] + newBlock := oldBlock | mask + if oldBlock != newBlock { + b.bitBlock[blockNum] = newBlock + b.numOnes++ + } +} + +// Remove i from the Bitmap. +func (b *Bitmap) Remove(i uint32) { + blockNum, mask := i/64, uint64(1)<<(i%64) + oldBlock := b.bitBlock[blockNum] + newBlock := oldBlock &^ mask + if oldBlock != newBlock { + b.bitBlock[blockNum] = newBlock + b.numOnes-- + } +} + +// Clone the Bitmap. +func (b *Bitmap) Clone() Bitmap { + bitmap := Bitmap{b.numOnes, make([]uint64, len(b.bitBlock))} + copy(bitmap.bitBlock, b.bitBlock[:]) + return bitmap +} + +// countOnesForBlocks count all 1 bits within b.bitBlock of begin and that of end. +// The begin block and end block are inclusive. +func (b *Bitmap) countOnesForBlocks(begin, end uint32) uint64 { + ones := uint64(0) + beginBlock := begin / 64 + endBlock := end / 64 + for i := beginBlock; i <= endBlock; i++ { + ones += uint64(bits.OnesCount64(b.bitBlock[i])) + } + return ones +} + +// countOnesForAllBlocks count all 1 bits in b.bitBlock. +func (b *Bitmap) countOnesForAllBlocks() uint64 { + ones := uint64(0) + for i := 0; i < len(b.bitBlock); i++ { + ones += uint64(bits.OnesCount64(b.bitBlock[i])) + } + return ones +} + +// flipRange flip the bits within range (begin and end). begin is inclusive and end is exclusive. +func (b *Bitmap) flipRange(begin, end uint32) { + end-- + beginBlock := begin / 64 + endBlock := end / 64 + if beginBlock == endBlock { + b.bitBlock[endBlock] ^= ((^uint64(0) << uint(begin%64)) & ((uint64(1) << (uint(end) % 64 + 1))-1)) + } else { + b.bitBlock[beginBlock] ^= ^(^uint64(0) << uint(begin%64)) + for i := beginBlock; i < endBlock; i++ { + b.bitBlock[i] = ^b.bitBlock[i] + } + b.bitBlock[endBlock] ^= ((uint64(1) << (uint(end) % 64 + 1))-1) + } +} + +// clearRange clear the bits within range (begin and end). begin is inclusive and end is exclusive. +func (b *Bitmap) clearRange(begin, end uint32) { + end-- + beginBlock := begin / 64 + endBlock := end / 64 + if beginBlock == endBlock { + b.bitBlock[beginBlock] &= (((uint64(1) << uint(begin%64)) - 1) | ^((uint64(1) << (uint(end) % 64 + 1)) - 1)) + } else { + b.bitBlock[beginBlock] &= ((uint64(1) << uint(begin%64)) - 1) + for i := beginBlock + 1; i < endBlock; i++ { + b.bitBlock[i] &= ^b.bitBlock[i] + } + b.bitBlock[endBlock] &= ^((uint64(1) << (uint(end) % 64 + 1)) - 1) + } +} + +// ClearRange clear bits within range (begin and end) for the Bitmap. begin is inclusive and end is exclusive. +func (b *Bitmap) ClearRange(begin, end uint32) { + blockRange := end/64 - begin/64 + // When the number of cleared blocks is larger than half of the length of b.bitBlock, + // counting 1s for the entire bitmap has better performance. + if blockRange > uint32(len(b.bitBlock)/2) { + b.clearRange(begin, end) + b.numOnes = uint32(b.countOnesForAllBlocks()) + } else { + oldRangeOnes := b.countOnesForBlocks(begin, end) + b.clearRange(begin, end) + newRangeOnes := b.countOnesForBlocks(begin, end) + b.numOnes += uint32(newRangeOnes - oldRangeOnes) + } +} + +// FlipRange flip bits within range (begin and end) for the Bitmap. begin is inclusive and end is exclusive. +func (b *Bitmap) FlipRange(begin, end uint32) { + blockRange := end/64 - begin/64 + // When the number of flipped blocks is larger than half of the length of b.bitBlock, + // counting 1s for the entire bitmap has better performance. + if blockRange > uint32(len(b.bitBlock)/2) { + b.flipRange(begin, end) + b.numOnes = uint32(b.countOnesForAllBlocks()) + } else { + oldRangeOnes := b.countOnesForBlocks(begin, end) + b.flipRange(begin, end) + newRangeOnes := b.countOnesForBlocks(begin, end) + b.numOnes += uint32(newRangeOnes - oldRangeOnes) + } +} + +// ToSlice transform the Bitmap into slice. For example, a bitmap of [0, 1, 0, 1] +// will return the slice [1, 3]. +func (b *Bitmap) ToSlice() []uint32 { + bitmapSlice := make([]uint32, 0, b.numOnes) + // base is the start number of a bitBlock + base := 0 + for i := 0; i < len(b.bitBlock); i++ { + bitBlock := b.bitBlock[i] + // Iterate through all the numbers held by this bit block. + for bitBlock != 0 { + // Extract the lowest set 1 bit. + j := bitBlock & -bitBlock + // Interpret the bit as the in32 number it represents and add it to result. + bitmapSlice = append(bitmapSlice, uint32((base + int(bits.OnesCount64(j - 1))))) + bitBlock ^= j + } + base += 64 + } + return bitmapSlice +} + +// GetNumOnes return the the number of ones in the Bitmap. +func (b *Bitmap) GetNumOnes() uint32 { + return b.numOnes +} |