Backports for Julia 1.10.8 #56653
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) The `(::Diagonal) + (::Symmetric)` and analogous methods were specialized in #35333 to return a `Symmetric`, but these only work if the `Diagonal` is also symmetric. This typically holds for arrays of numbers, but may not hold for block-diagonal and other types for which symmetry isn't guaranteed. This PR restricts the methods to arrays of `Number`s. Fixes, e.g.: ```julia julia> using StaticArrays, LinearAlgebra julia> D = Diagonal(fill(SMatrix{2,2}(1:4), 2)) 2×2 Diagonal{SMatrix{2, 2, Int64, 4}, Vector{SMatrix{2, 2, Int64, 4}}}: [1 3; 2 4] ⋅ ⋅ [1 3; 2 4] julia> S = Symmetric(D) 2×2 Symmetric{AbstractMatrix, Diagonal{SMatrix{2, 2, Int64, 4}, Vector{SMatrix{2, 2, Int64, 4}}}}: [1 3; 3 4] ⋅ ⋅ [1 3; 3 4] julia> S + D 2×2 Symmetric{AbstractMatrix, Diagonal{SMatrix{2, 2, Int64, 4}, Vector{SMatrix{2, 2, Int64, 4}}}}: [2 6; 6 8] ⋅ ⋅ [2 6; 6 8] julia> S[1,1] + D[1,1] 2×2 SMatrix{2, 2, Int64, 4} with indices SOneTo(2)×SOneTo(2): 2 6 5 8 julia> (S + D)[1,1] == S[1,1] + D[1,1] false ``` After this, ```julia julia> S + D 2×2 Matrix{AbstractMatrix{Int64}}: [2 6; 5 8] [0 0; 0 0] [0 0; 0 0] [2 6; 5 8] ``` Even with `Number`s as elements, there might be an issue with `NaN`s along the diagonal as `!issymmetric(NaN)`, but that may be a different PR. (cherry picked from commit 197295c)
(cherry picked from commit 346f38b)
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)
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And a follow-up to that backport: #56666 |
…09f49 (#56669) Co-authored-by: Dilum Aluthge <[email protected]> fix preferential Manifest.toml naming (#3731)
…56666) It is possible for an extension `ExtAB` to be loadable by one of its triggers, e.g. if `A` loads `B`. However, this loading is not supposed to happen during pre-compilation of `A`. Getting this wrong means disagreeing with the scheduled pre-compile jobs (`A` is not scheduled to depend on or generate a cache file for `ExtAB` but accidentally attempts both) and leads to confusing errors about missing cache files. We used to cover up this bad behavior w/ an erroneous cycle warning (fixed by #55910), but now we need to be sure this works.
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Backport of #55251 looks like it has a bad test: https://buildkite.com/julialang/julia-release-1-dot-10/builds/433#01935fa6-46db-4194-b0dc-27b410bd4db8/867-1134 |
This pass was assuming that the post-dominator of all finalizer uses exists as a real BB in the CFG.
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Backported PRs:
Base.donotdelete#55773log_quasitriufor internal scalings=0#56311exp(weirdNaN)#56784Need manual backport:
Contains multiple commits, manual intervention needed:
@time_imports#55729find_all_in_cache_pathcall during parallel precompilation #56369Non-merged PRs with backport label:
Base.rationalizeinstead of defining new functionBase.MathConstants.rationalize#56793UnionAllin the doc string ofwhere#56411@ccallablename before JIT registration #55813displaysizeto theIOContextused by the REPL #55499isfile_casesensitivefixes on Windows #55220propertynamesfor SVD respects private argument #55169@inboundsandBase.@propagate_inbounds#50157