File: bitmap.go

package info (click to toggle)
golang-gvisor-gvisor 0.0~20240729.0-4
  • links: PTS, VCS
  • area: main
  • in suites: forky, sid, trixie, trixie-proposed-updates
  • size: 21,300 kB
  • sloc: asm: 3,361; ansic: 1,197; cpp: 348; makefile: 92; python: 89; sh: 83
file content (315 lines) | stat: -rw-r--r-- 9,284 bytes parent folder | download | duplicates (3)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
// 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 (
	"fmt"
	"math"
	"math/bits"
)

// MaxBitEntryLimit defines the upper limit on how many bit entries are supported by this Bitmap
// implementation.
const MaxBitEntryLimit uint32 = math.MaxInt32

// 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
}

// New create a new empty Bitmap.
func New(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
}

// Size returns the total number of bits in the bitmap.
func (b *Bitmap) Size() int {
	return len(b.bitBlock) * 64
}

// Grow grows the bitmap by at least toGrow bits.
func (b *Bitmap) Grow(toGrow uint32) error {
	newbitBlockSize := uint32(len(b.bitBlock)) + ((toGrow + 63) / 64)
	if newbitBlockSize > MaxBitEntryLimit/8 {
		return fmt.Errorf("requested bitmap size %d too large", newbitBlockSize*64)
	}
	bits := make([]uint64, (toGrow+63)/64)
	b.bitBlock = append(b.bitBlock, bits...)
	return nil
}

// 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 MaxBitEntryLimit
}

// FirstZero returns the first unset bit from the range [start, ).
func (b *Bitmap) FirstZero(start uint32) (bit uint32, err error) {
	i, nbit := int(start/64), start%64
	n := len(b.bitBlock)
	if i >= n {
		return MaxBitEntryLimit, fmt.Errorf("given start of range exceeds bitmap size")
	}
	w := b.bitBlock[i] | ((1 << nbit) - 1)
	for {
		if w != ^uint64(0) {
			r := bits.TrailingZeros64(^w)
			return uint32(r + i*64), nil
		}
		i++
		if i == n {
			break
		}
		w = b.bitBlock[i]
	}
	return MaxBitEntryLimit, fmt.Errorf("bitmap has no unset bits")
}

// FirstOne returns the first set bit from the range [start, )
func (b *Bitmap) FirstOne(start uint32) (bit uint32, err error) {
	i, nbit := int(start/64), start%64
	n := len(b.bitBlock)
	if i >= n {
		return MaxBitEntryLimit, fmt.Errorf("given start of range exceeds bitmap size")
	}
	w := b.bitBlock[i] & (math.MaxUint64 << nbit)
	for {
		if w != uint64(0) {
			r := bits.TrailingZeros64(w)
			return uint32(r + i*64), nil
		}
		i++
		if i == n {
			break
		}
		w = b.bitBlock[i]
	}
	return MaxBitEntryLimit, fmt.Errorf("bitmap has no set bits")
}

// 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)
	}
}

// Reset zeroes the entire bitmap.
func (b *Bitmap) Reset() {
	b.numOnes = 0
	clear(b.bitBlock)
}

// ForEach calls `f` for each set bit in the range [start, end).
//
// If f returns false, ForEach stops the iteration.
func (b *Bitmap) ForEach(start, end uint32, f func(idx uint32) bool) {
	blockEnd := (end + 63) / 64
	if blockEnd > uint32(len(b.bitBlock)) {
		blockEnd = uint32(len(b.bitBlock))
	}
	// base is the start number of a bitBlock
	base := start / 64 * 64
	blockMask := ^((uint64(1) << (start % 64)) - 1)
	for i := start / 64; i < blockEnd; i++ {
		if i == end/64 {
			blockMask &= (uint64(1) << (end % 64)) - 1
		}
		bitBlock := b.bitBlock[i] & blockMask
		blockMask = ^uint64(0)
		// 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.
			idx := base + uint32(bits.OnesCount64(j-1))
			if !f(idx) {
				return
			}
			bitBlock ^= j
		}
		base += 64
	}
}

// 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 number of ones in the Bitmap.
func (b *Bitmap) GetNumOnes() uint32 {
	return b.numOnes
}