Accurate Counting Bloom Filters for Large-Scale Data Processing

Algorithm 3

Deletion Operation in ACBF.

(1) Delete (Element 𝑥)

(2) for (𝑖=1; 𝑖 <= 𝑘; 𝑖++) do

# Traverse 𝑑 bitmaps 𝑏₁,…,𝑏_𝑑

(3)   for (𝑗=1; 𝑗 <= 𝑑; 𝑗++) do

(4)    if (𝑗 == 1) then

(5)    index = ℎ_𝑖(𝑥) mod 𝑙₁;

(6)    end if

(7)    if (𝑏_𝑗[index] == 1) then

(8)     offset = popcount(𝑏_𝑗, index);

(9)     pre = index;

(10)      index = offset;

(11)     else

# Shrink bitmap 𝑏_𝑗 by one position

(12)      shrink_bitmap(𝑏_𝑗, offset);

(13)    𝑏_𝑗−1[pre] = 0;

(14)    exit();

(15)     end if

(16)    end for

(17)   end for