The nonlinear term evaluation with DEIM is a
precomputing process.
In addition, bearing in mind the computational burden of iterative algorithms, this paper also focuses on proposing an alternative strategy to speed up their computation based on the concept of
precomputing. Precomputation in algorithmic design is a powerful concept that reduces the necessary arithmetic operations.
Since we know that windows are important contributors to illumination, we can turn them into secondary light sources,
precomputing and smoothing their output distributions for efficient rendering.
As
precomputing pairing operations increases the performance and lowers the computational effort, we also give data regarding precomputation.
To sum up, to represent [T.sub.p]'s and the index tables, we built a bitmap T composed of: (1) the concatenation of [T.sub.l],...,[T,sub.k]; (2) three tables that allows the three operations on [T.sub.p] in 0(1) time whenever [m.sub.p] [less than or equal to] [lot.sub.2]m/2 (by
precomputing the answers stored within O(log log m) bits for any input input - a small block and a integer less than ([log.sub.2] m)/2); (3) we assign to each [T.sub.p] auxiliary index tables of size o([m.sub.p]) bits as soon as [m.sub.p] > log m/2; (4) we add to T a field separator bitmap of length 2m + o(m) and an index table of size o(|T|) identifying the position of the ith table (among at most 2k tables for part 1 and 3 of T) using operation select.
Precomputing the factors [[??].sub.t]([k.sub.t]) for t = 0, ..., d - 1 and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is denoted by its associated Flag PRE_PHI_HUT within the software library.
Precomputing the filters (represented as boolean vectors of length h) for all type constants requires O(h) calls to reachability in H (viewed as a graph) and hence is O([h.sup.2]).
Instead of
precomputing the transitions from a whole column to the next, the transitions from a region to the next region in the column were precomputed, although the current region could now depend on three previous regions (see Figure 16).
However,
precomputing a visualization takes time, defeating the purpose of the time-critical approach.
Moreover, computerized systems are invisible compared to the manual systems of the
precomputing era.
In precomputation, the load on the display subsystem is reduced because certain features can be calculated before they are needed--for example, the hidden surface problem can be partially solved by
precomputing potentially visible sets of the models for sets of related viewpoints.
Therefore,
precomputing and caching the required masked S-Boxes are more relevant and efficient.
