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By John G. Webster (Editor)

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This free list is actually maintained as a sequence of lists, one for each section height. The information about an unused section of height i is enqueued in the list that handles sections of that height. In order to simplify object allocation, the following bounded list length property is always maintained: For each height i ϭ 0, . , S, at most Ͷ Ϫ 1 free sections of i are allowed. Informally, this property implies that whenever there exists sufficient free space at the free list of height i, EVEREST must compact these free sections into sections of a larger height.

In general, for every digit di that is non-zero, di sections are allocated from height i of the free list on behalf of ox. In our example, ox requires 1 section from height 0, no sections from height 1, 1 section from height 2, and 1 section from height 3. For each object, the number ␯ of contiguous pieces is equal to the number of ones in the binary representation of m, or j with a general base Ͷ, ␯ ϭ ͚iϭ0 di (where j is the total number of digits). Note that ␯ is always bounded by Ͷ logͶ m.

In general, for every digit di that is non-zero, di sections are allocated from height i of the free list on behalf of ox. In our example, ox requires 1 section from height 0, no sections from height 1, 1 section from height 2, and 1 section from height 3. For each object, the number ␯ of contiguous pieces is equal to the number of ones in the binary representation of m, or j with a general base Ͷ, ␯ ϭ ͚iϭ0 di (where j is the total number of digits). Note that ␯ is always bounded by Ͷ logͶ m.

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37.Multimedia by John G. Webster (Editor)


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