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Use MathJax format for complexity annotations #830
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treeowl
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Apr 13, 2022
treeowl
reviewed
Apr 13, 2022
treeowl
reviewed
Apr 13, 2022
So much work! Thanks a lot! I haven't reviewed everything here, but it mostly looks great. I had a few comments. |
It isn't that much work, just a few search & replace operations. Just someone had to do it. |
@treeowl is there anything left to do before this can be merged? |
No, I just forgot. |
Thanks again. |
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As discussed in haskell#870, the complexities for union, difference, etc. on Set and Map were changed in haskell#830 to fix some partiality in the expressions, but along the way new partiality was introduced, and useful special cases like m = 1 get incorrect complexity values from the new formulas. The original formula was as stated in the original paper: https://dl.acm.org/doi/10.1145/322123.322127 and this holds for 0 < m <= n, which seems sufficient to me. (The m=0 case is excluded, but for m=0 nothing needs to be done anyway. This contrary to the m=1 case, in which useful work with very specific complexity (namely, O(log(n))) needs to be done.) This commit reverts all occurrences of the modified complexity formula back to the original one.
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As discussed in #870, the complexities for union, difference, etc. on Set and Map were changed in #830 to fix some partiality in the expressions, but along the way new partiality was introduced, and useful special cases like m = 1 get incorrect complexity values from the new formulas. The original formula was as stated in the original paper: https://dl.acm.org/doi/10.1145/322123.322127 and this holds for 0 < m <= n, which seems sufficient to me. (The m=0 case is excluded, but for m=0 nothing needs to be done anyway. This contrary to the m=1 case, in which useful work with very specific complexity (namely, O(log(n))) needs to be done.) This commit reverts all occurrences of the modified complexity formula back to the original one.
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Closes #731.