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Backports for 1.10.9 #57182
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Backports for 1.10.9 #57182
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(cherry picked from commit 346f38b)
The main motivation of this PR is to fix #55807. dc689fe tries to remove the slow `may_contain_union_decision` check by re-organizing the code path. Now the fast path has been removed and most of its optimization has been integrated into the preserved slow path. Since the slow path stores all inner ∃ decisions on the outer most R stack, there might be overflow risk. aee69a4 should fix that concern. The reported MWE now becomes ```julia 0.000002 seconds 0.000040 seconds (105 allocations: 4.828 KiB, 52.00% compilation time) 0.000023 seconds (105 allocations: 4.828 KiB, 49.36% compilation time) 0.000026 seconds (105 allocations: 4.828 KiB, 50.38% compilation time) 0.000027 seconds (105 allocations: 4.828 KiB, 54.95% compilation time) 0.000019 seconds (106 allocations: 4.922 KiB, 49.73% compilation time) 0.000024 seconds (105 allocations: 4.828 KiB, 52.24% compilation time) ``` Local bench also shows that 72855cd slightly accelerates `OmniPackage.jl`'s loading ```julia julia> @time using OmniPackage # v1.11rc4 20.525278 seconds (25.36 M allocations: 1.606 GiB, 8.48% gc time, 12.89% compilation time: 77% of which was recompilation) # v1.11rc4+aee69a4+72855cd 19.527871 seconds (24.92 M allocations: 1.593 GiB, 8.88% gc time, 15.13% compilation time: 82% of which was recompilation) ``` (cherry picked from commit f3a36d7)
This PR is a potential fix for #54833. ## Description The function https://github.com/JuliaLang/julia/blob/2a06376c18afd7ec875335070743dcebcd85dee7/stdlib/LinearAlgebra/src/triangular.jl#L2220 computes $\boldsymbol{A}^{\dfrac{1}{2^s}} - \boldsymbol{I}$ for a real-valued $2\times 2$ matrix $\boldsymbol{A}$ using Algorithm 5.1 in [R1]. However, the algorithm in [R1] as well as the above function do not handle the case $s=0.$ This fix extends the function to compute $\boldsymbol{A}^{\dfrac{1}{2^s}} - \boldsymbol{I} \Bigg|_{s=0} = \boldsymbol{A} - \boldsymbol{I}.$ ## Checklist - [X] Fix code: `stdlib\LinearAlgebra\src\triangular.jl` in function `_sqrt_pow_diag_block_2x2!(A, A0, s)`. - [X] Add test case: `stdlib\LinearAlgebra\test\triangular.jl`. - [X] Update `NEWS.md`. - [X] Testing and self review. | Tag | Reference | | --- | --- | | <nobr>[R1]</nobr> | Al-Mohy, Awad H. and Higham, Nicholas J. "Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm", 2011, url: https://eprints.maths.manchester.ac.uk/1687/1/paper11.pdf | --------- Co-authored-by: Daniel Karrasch <[email protected]> Co-authored-by: Oscar Smith <[email protected]> (cherry picked from commit 2cdfe06)
…f4592 (#57225) Co-authored-by: IanButterworth <[email protected]>
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Backported PRs:
Base.donotdelete
#55773log_quasitriu
for internal scalings=0
#56311complete_methods!
when max methods is hit #57138Need manual backport:
UnionAll
in the doc string ofwhere
#56411Base.rationalize
instead of defining new functionBase.MathConstants.rationalize
#56793Meta.partially_inline!
fixes #56813Contains multiple commits, manual intervention needed:
@time_imports
#55729exp(weirdNaN)
#56784float(a//b)
#56772struct
to hard #56755tmerge(Const(s), Const(t))
st.(s !== t) && (s == t)
#56915@constprop
, fix error message #56946ndims
implementation with intent behind code #56999Non-merged PRs with backport label:
@ccallable
name before JIT registration #55813displaysize
to theIOContext
used by the REPL #55499isfile_casesensitive
fixes on Windows #55220@inbounds
andBase.@propagate_inbounds
#50157