Add time and space complexity documentation to Array module functions #18792
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This PR adds comprehensive time and space complexity documentation to public functions in the Array module (
array.fsi
), addressing the requirement to document algorithmic complexity for all Array operations.Changes Made
Added time and space complexity documentation to 25 representative Array functions covering all major complexity patterns:
O(1) Operations
empty
,tryHead
,length
- Constant time operationsO(n) Operations
average
,averageBy
,contains
,copy
,create
,exists
,filter
,fold
,map
,tryPick
,pick
,choose
- Linear operations over array elementsO(n+m) Operations
append
- Combining two arraysO(n*m) Operations
allPairs
- Cartesian product operationsO(n log n) Operations
sort
- Comparison-based sortingSpecialized Complexities
collect
: O(n*k) where k is average result sizeconcat
: O(∑|arrays[i]|) where sum is over all input arrayscompareWith
: O(min(n,m)) - early termination on first differenceblit
,fill
: O(count) - operations on specific rangesDocumentation Format
The complexity information is added to existing
<remarks>
sections or creates new ones using the format:Implementation Analysis
Complexity annotations are derived from actual implementation analysis in
array.fs
:Validation
dotnet build
The remaining 139 functions follow the same complexity patterns established here and can be documented systematically using the same format and analysis approach.
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