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Avoid concatenating LazyString in setindex! for triangular matrices #54631

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merged 3 commits into from
May 31, 2024

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@jishnub jishnub commented May 30, 2024

This PR changes operations like a::String * b::LazyString to LazyString(a, b), which avoids some runtime dispatches and plays better with JET. The changes are in the error paths of setindex! for AbstractTriangular matrices. This also reduces code duplication.

Specifically, this fixes the warnings in the following:
On v1.11:

julia> using LinearAlgebra

julia> using JET

julia> @report_opt eigen(Hermitian(rand(2,2)))
[ Info: tracking Base
┌ Warning: skipping var"#_#113"(kw::Base.Pairs{Symbol, V, NTuple{N, Symbol}, NamedTuple{names, T}} where {V, N, names, T<:NTuple{N, Any}}, c::ComposedFunction, x...) @ Base operators.jl:1050 to avoid parsing too much code
└ @ Revise ~/.julia/packages/Revise/bAgL0/src/packagedef.jl:1092
┌ Warning: skipping var"#sprint#594"(context, sizehint::Integer, ::typeof(sprint), f::Function, args...) @ Base strings/io.jl:107 to avoid parsing too much code
└ @ Revise ~/.julia/packages/Revise/bAgL0/src/packagedef.jl:1092
┌ Warning: skipping (::Base.var"#120#121")(io) @ Base strings/lazy.jl:84 to avoid parsing too much code
└ @ Revise ~/.julia/packages/Revise/bAgL0/src/packagedef.jl:1092
═════ 1 possible error found ═════
┌ eigen(A::Hermitian{Float64, Matrix{Float64}}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/symmetriceigen.jl:11
│┌ eigen(A::Hermitian{Float64, Matrix{Float64}}; sortby::Nothing) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/symmetriceigen.jl:13
││┌ eigencopy_oftype(A::Hermitian{Float64, Matrix{Float64}}, S::Type{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/symmetriceigen.jl:4
│││┌ copy_similar(A::Hermitian{Float64, Matrix{Float64}}, ::Type{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/LinearAlgebra.jl:475
││││┌ copyto!(dest::Matrix{Float64}, src::Hermitian{Float64, Matrix{Float64}}) @ Base ./abstractarray.jl:1060
│││││┌ unalias(dest::Matrix{Float64}, A::Hermitian{Float64, Matrix{Float64}}) @ Base ./abstractarray.jl:1503
││││││┌ unaliascopy(A::Hermitian{Float64, Matrix{Float64}}) @ Base ./abstractarray.jl:1520
│││││││┌ copy(A::Hermitian{Float64, Matrix{Float64}}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/symmetric.jl:342
││││││││┌ parentof_applytri(f::typeof(copy), args::Hermitian{Float64, Matrix{Float64}}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/symmetric.jl:297
│││││││││┌ applytri(f::ComposedFunction{typeof(parent), typeof(copy)}, A::Hermitian{Float64, Matrix{Float64}}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/symmetric.jl:280
││││││││││┌ (::ComposedFunction{typeof(parent), typeof(copy)})(x::UpperTriangular{Float64, Matrix{Float64}}) @ Base ./operators.jl:1050
│││││││││││┌ (::ComposedFunction{typeof(parent), typeof(copy)})(x::UpperTriangular{Float64, Matrix{Float64}}; kw::@Kwargs{}) @ Base ./operators.jl:1050
││││││││││││┌ call_composed(fs::Tuple{typeof(parent), typeof(copy)}, x::Tuple{UpperTriangular{Float64, Matrix{…}}}, kw::@Kwargs{}) @ Base ./operators.jl:1053
│││││││││││││┌ call_composed(fs::Tuple{typeof(copy)}, x::Tuple{UpperTriangular{Float64, Matrix{Float64}}}, kw::@Kwargs{}) @ Base ./operators.jl:1054
││││││││││││││┌ copy(A::UpperTriangular{Float64, Matrix{Float64}}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/triangular.jl:183
│││││││││││││││┌ copyto!(A::UpperTriangular{Float64, Matrix{Float64}}, B::UpperTriangular{Float64, Matrix{Float64}}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/triangular.jl:520
││││││││││││││││┌ setindex!(A::UpperTriangular{Float64, Matrix{Float64}}, x::Float64, i::Int64, j::Int64) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/triangular.jl:274
│││││││││││││││││┌ *(s1::String, ss::LazyString) @ Base ./strings/basic.jl:265
││││││││││││││││││┌ string(::String, ::LazyString) @ Base ./strings/io.jl:189
│││││││││││││││││││┌ print_to_string(::String, ::LazyString) @ Base ./strings/io.jl:148
││││││││││││││││││││┌ print(io::IOBuffer, s::LazyString) @ Base ./strings/io.jl:195
│││││││││││││││││││││┌ iterate(s::LazyString) @ Base ./strings/lazy.jl:94
││││││││││││││││││││││┌ String(l::LazyString) @ Base ./strings/lazy.jl:83
│││││││││││││││││││││││┌ sprint(::Base.var"#120#121"{LazyString}) @ Base ./strings/io.jl:107
││││││││││││││││││││││││┌ sprint(::Base.var"#120#121"{LazyString}; context::Nothing, sizehint::Int64) @ Base ./strings/io.jl:114
│││││││││││││││││││││││││┌ (::Base.var"#120#121"{LazyString})(io::IOBuffer) @ Base ./strings/lazy.jl:85
││││││││││││││││││││││││││ runtime dispatch detected: print(io::IOBuffer, %16::Any)::Any

With the changes from this PR

julia> @report_opt eigen(Hermitian(rand(2,2)))
No errors detected

@jishnub jishnub added linear algebra Linear algebra backport 1.11 Change should be backported to release-1.11 labels May 30, 2024
stdlib/LinearAlgebra/src/triangular.jl Outdated Show resolved Hide resolved
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@aviatesk aviatesk merged commit aea4627 into master May 31, 2024
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@aviatesk aviatesk deleted the jishnub/lazystrtriangularsetindex branch May 31, 2024 09:50
jishnub added a commit that referenced this pull request Jun 4, 2024
Similar to #54631, this would
help reduce dynamic dispatches involved in concatenating a `String` and
a `LazyString`.

These show up in
```julia
julia> @report_opt Tridiagonal(rand(1), rand(2), rand(1)) \ rand(2)
[ Info: tracking Base
┌ Warning: skipping var"#sprint#594"(context, sizehint::Integer, ::typeof(sprint), f::Function, args...) @ Base strings/io.jl:107 to avoid parsing too much code
└ @ Revise ~/.julia/packages/Revise/bAgL0/src/packagedef.jl:1092
┌ Warning: skipping (::Base.var"#120#121")(io) @ Base strings/lazy.jl:84 to avoid parsing too much code
└ @ Revise ~/.julia/packages/Revise/bAgL0/src/packagedef.jl:1092
═════ 1 possible error found ═════
┌ \(A::Tridiagonal{Float64, Vector{Float64}}, B::Vector{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/generic.jl:1132
│┌ lu(::Tridiagonal{Float64, Vector{Float64}}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/lu.jl:341
││┌ lu(::Tridiagonal{Float64, Vector{Float64}}; kwargs::@kwargs{}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/lu.jl:341
│││┌ _lucopy(A::Tridiagonal{Float64, Vector{Float64}}, T::Type{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/lu.jl:351
││││┌ copymutable_oftype(A::Tridiagonal{Float64, Vector{Float64}}, ::Type{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/LinearAlgebra.jl:463
│││││┌ similar(M::Tridiagonal{Float64, Vector{Float64}}, ::Type{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/tridiag.jl:603
││││││┌ Tridiagonal(dl::Vector{Float64}, d::Vector{Float64}, du::Vector{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/tridiag.jl:520
│││││││┌ Tridiagonal{Float64, Vector{Float64}}(dl::Vector{Float64}, d::Vector{Float64}, du::Vector{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/tridiag.jl:477
││││││││┌ string(::String, ::String, ::LazyString) @ Base ./strings/io.jl:189
│││││││││┌ print_to_string(::String, ::String, ::LazyString) @ Base ./strings/io.jl:148
││││││││││┌ print(io::IOBuffer, s::LazyString) @ Base ./strings/io.jl:195
│││││││││││┌ iterate(s::LazyString) @ Base ./strings/lazy.jl:94
││││││││││││┌ String(l::LazyString) @ Base ./strings/lazy.jl:83
│││││││││││││┌ sprint(::Base.var"#120#121"{LazyString}) @ Base ./strings/io.jl:107
││││││││││││││┌ sprint(::Base.var"#120#121"{LazyString}; context::Nothing, sizehint::Int64) @ Base ./strings/io.jl:114
│││││││││││││││┌ (::Base.var"#120#121"{LazyString})(io::IOBuffer) @ Base ./strings/lazy.jl:85
││││││││││││││││ runtime dispatch detected: print(io::IOBuffer, %16::Any)::Any
│││││││││││││││└────────────────────
```

Co-authored-by: Shuhei Kadowaki <[email protected]>
Co-authored-by: Dilum Aluthge <[email protected]>
KristofferC pushed a commit that referenced this pull request Jun 4, 2024
Similar to #54631, this would
help reduce dynamic dispatches involved in concatenating a `String` and
a `LazyString`.

These show up in
```julia
julia> @report_opt Tridiagonal(rand(1), rand(2), rand(1)) \ rand(2)
[ Info: tracking Base
┌ Warning: skipping var"#sprint#594"(context, sizehint::Integer, ::typeof(sprint), f::Function, args...) @ Base strings/io.jl:107 to avoid parsing too much code
└ @ Revise ~/.julia/packages/Revise/bAgL0/src/packagedef.jl:1092
┌ Warning: skipping (::Base.var"#120#121")(io) @ Base strings/lazy.jl:84 to avoid parsing too much code
└ @ Revise ~/.julia/packages/Revise/bAgL0/src/packagedef.jl:1092
═════ 1 possible error found ═════
┌ \(A::Tridiagonal{Float64, Vector{Float64}}, B::Vector{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/generic.jl:1132
│┌ lu(::Tridiagonal{Float64, Vector{Float64}}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/lu.jl:341
││┌ lu(::Tridiagonal{Float64, Vector{Float64}}; kwargs::@kwargs{}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/lu.jl:341
│││┌ _lucopy(A::Tridiagonal{Float64, Vector{Float64}}, T::Type{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/lu.jl:351
││││┌ copymutable_oftype(A::Tridiagonal{Float64, Vector{Float64}}, ::Type{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/LinearAlgebra.jl:463
│││││┌ similar(M::Tridiagonal{Float64, Vector{Float64}}, ::Type{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/tridiag.jl:603
││││││┌ Tridiagonal(dl::Vector{Float64}, d::Vector{Float64}, du::Vector{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/tridiag.jl:520
│││││││┌ Tridiagonal{Float64, Vector{Float64}}(dl::Vector{Float64}, d::Vector{Float64}, du::Vector{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/tridiag.jl:477
││││││││┌ string(::String, ::String, ::LazyString) @ Base ./strings/io.jl:189
│││││││││┌ print_to_string(::String, ::String, ::LazyString) @ Base ./strings/io.jl:148
││││││││││┌ print(io::IOBuffer, s::LazyString) @ Base ./strings/io.jl:195
│││││││││││┌ iterate(s::LazyString) @ Base ./strings/lazy.jl:94
││││││││││││┌ String(l::LazyString) @ Base ./strings/lazy.jl:83
│││││││││││││┌ sprint(::Base.var"#120#121"{LazyString}) @ Base ./strings/io.jl:107
││││││││││││││┌ sprint(::Base.var"#120#121"{LazyString}; context::Nothing, sizehint::Int64) @ Base ./strings/io.jl:114
│││││││││││││││┌ (::Base.var"#120#121"{LazyString})(io::IOBuffer) @ Base ./strings/lazy.jl:85
││││││││││││││││ runtime dispatch detected: print(io::IOBuffer, %16::Any)::Any
│││││││││││││││└────────────────────
```

Co-authored-by: Shuhei Kadowaki <[email protected]>
Co-authored-by: Dilum Aluthge <[email protected]>
(cherry picked from commit 770a464)
@KristofferC KristofferC mentioned this pull request Jun 4, 2024
60 tasks
KristofferC pushed a commit that referenced this pull request Jun 7, 2024
jishnub added a commit that referenced this pull request Jun 9, 2024
KristofferC pushed a commit that referenced this pull request Jun 10, 2024
KristofferC added a commit that referenced this pull request Jun 25, 2024
Backported PRs:
- [x] #54361 <!-- [LBT] Upgrade to v5.9.0 -->
- [x] #54474 <!-- Unalias source from dest in copytrito -->
- [x] #54548 <!-- Fixes for bitcast bugs with LLVM 17 / opaque pointers
-->
- [x] #54191 <!-- make `AbstractPipe` public -->
- [x] #53402 <!-- Add `jl_getaffinity` and `jl_setaffinity` -->
- [x] #53356 <!-- Rename at-scriptdir project argument to at-script and
search upwards for Project.toml -->
- [x] #54545 <!-- typeintersect: fix incorrect innervar handling under
circular env -->
- [x] #54586 <!-- Set storage class of julia globals to dllimport on
windows to avoid auto-import weirdness. Forward port of #54572 -->
- [x] #54587 <!-- Accomodate for rectangular matrices in `copytrito!`
-->
- [x] #54617 <!-- CLI: Use `GetModuleHandleExW` to locate libjulia.dll
-->
- [x] #54605 <!-- Allow libquadmath to also fail as it is not available
on all systems -->
- [x] #54634 <!-- Fix trampoline assembly for build on clang 18 on apple
silicon -->
- [x] #54635 <!-- Aggressive constprop in trevc! to stabilize triangular
eigvec -->
- [x] #54645 <!-- ensure we set the right value to gc_first_tid -->
- [x] #54554 <!-- make elsize public -->
- [x] #54648 <!-- Construct LazyString in error paths for tridiag -->
- [x] #54658 <!-- fix missing uuid check on extension when finding the
location of an extension -->
- [x] #54594 <!-- Switch to Pkg mode prompt immediately and load Pkg in
the background -->
- [x] #54669 <!-- Improve error message in inplace transpose -->
- [x] #54671 <!-- Add boundscheck in bindingkey_eq to avoid OOB access
due to data race -->
- [x] #54672 <!-- make: Fix `sed` command for LLVM libraries with no
symbol versioning -->
- [x] #54624 <!-- more precise aliasing checks for SubArray -->
- [x] #54679 <!-- 🤖 [master] Bump the Distributed stdlib from 6a07d98 to
6c7cdb5 -->
- [x] #54604 <!-- Fix tbaa annotation on union selector bytes inside of
structs -->
- [x] #54690 <!-- Fix assertion/crash when optimizing function with dead
basic block -->
- [x] #54704 <!-- LazyString in reinterpretarray error messages -->
- [x] #54718 <!-- fix prepend StackOverflow issue -->
- [x] #54674 <!-- Reimplement dummy pkg prompt as standard prompt -->
- [x] #54737 <!-- LazyString in interpolated error messages involving
types -->
- [x] #54642 <!-- Document GenericMemory and AtomicMemory -->
- [x] #54713 <!-- make: use `readelf` for LLVM symbol version detection
-->
- [x] #54760 <!-- REPL: improve prompt! async function handler -->
- [x] #54606 <!-- fix double-counting and non-deterministic results in
`summarysize` -->
- [x] #54759 <!-- REPL: Fully populate the dummy Pkg prompt -->
- [x] #54702 <!-- lowering: Recognize argument destructuring inside
macro hygiene -->
- [x] #54678 <!-- Don't let setglobal! implicitly create bindings -->
- [x] #54730 <!-- Fix uuidkey of exts in fast path of `require_stdlib`
-->
- [x] #54765 <!-- Handle no-postdominator case in finalizer pass -->
- [x] #54591 <!-- Don't expose guard pages to malloc_stack API consumers
-->
- [x] #54755 <!-- [TOML] remove Dates hack, replace with explicit usage
-->
- [x] #54721 <!-- add try/catch around scheduler to reset sleep state
-->
- [x] #54631 <!-- Avoid concatenating LazyString in setindex! for
triangular matrices -->
- [x] #54322 <!-- effects: add new `@consistent_overlay` macro -->
- [x] #54785
- [x] #54865
- [x] #54815
- [x] #54795
- [x] #54779
- [x] #54837 

Contains multiple commits, manual intervention needed:
- [ ] #52694 <!-- Reinstate similar for AbstractQ for backward
compatibility -->
- [ ] #54649 <!-- Less restrictive copyto! signature for triangular
matrices -->

Non-merged PRs with backport label:
- [ ] #54779 <!-- make recommendation clearer on manifest version
mismatch -->
- [ ] #54739 <!-- finish implementation of upgradable stdlibs -->
- [ ] #54738 <!-- serialization: fix relocatability bug -->
- [ ] #54574 <!-- Make ScopedValues public -->
- [ ] #54457 <!-- Make `String(::Memory)` copy -->
- [ ] #53957 <!-- tweak how filtering is done for what packages should
be precompiled -->
- [ ] #53452 <!-- RFC: allow Tuple{Union{}}, returning Union{} -->
- [ ] #53286 <!-- Raise an error when using `include_dependency` with
non-existent file or directory -->
- [ ] #51479 <!-- prevent code loading from lookin in the versioned
environment when building Julia -->
@KristofferC KristofferC mentioned this pull request Jun 25, 2024
42 tasks
@KristofferC KristofferC removed the backport 1.11 Change should be backported to release-1.11 label Jul 23, 2024
KristofferC pushed a commit to JuliaLang/LinearAlgebra.jl that referenced this pull request Nov 14, 2024
Similar to JuliaLang/julia#54631, this would
help reduce dynamic dispatches involved in concatenating a `String` and
a `LazyString`.

These show up in
```julia
julia> @report_opt Tridiagonal(rand(1), rand(2), rand(1)) \ rand(2)
[ Info: tracking Base
┌ Warning: skipping var"#sprint#594"(context, sizehint::Integer, ::typeof(sprint), f::Function, args...) @ Base strings/io.jl:107 to avoid parsing too much code
└ @ Revise ~/.julia/packages/Revise/bAgL0/src/packagedef.jl:1092
┌ Warning: skipping (::Base.var"#120#121")(io) @ Base strings/lazy.jl:84 to avoid parsing too much code
└ @ Revise ~/.julia/packages/Revise/bAgL0/src/packagedef.jl:1092
═════ 1 possible error found ═════
┌ \(A::Tridiagonal{Float64, Vector{Float64}}, B::Vector{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/generic.jl:1132
│┌ lu(::Tridiagonal{Float64, Vector{Float64}}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/lu.jl:341
││┌ lu(::Tridiagonal{Float64, Vector{Float64}}; kwargs::@kwargs{}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/lu.jl:341
│││┌ _lucopy(A::Tridiagonal{Float64, Vector{Float64}}, T::Type{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/lu.jl:351
││││┌ copymutable_oftype(A::Tridiagonal{Float64, Vector{Float64}}, ::Type{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/LinearAlgebra.jl:463
│││││┌ similar(M::Tridiagonal{Float64, Vector{Float64}}, ::Type{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/tridiag.jl:603
││││││┌ Tridiagonal(dl::Vector{Float64}, d::Vector{Float64}, du::Vector{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/tridiag.jl:520
│││││││┌ Tridiagonal{Float64, Vector{Float64}}(dl::Vector{Float64}, d::Vector{Float64}, du::Vector{Float64}) @ LinearAlgebra /cache/build/builder-amdci4-5/julialang/julia-release-1-dot-11/usr/share/julia/stdlib/v1.11/LinearAlgebra/src/tridiag.jl:477
││││││││┌ string(::String, ::String, ::LazyString) @ Base ./strings/io.jl:189
│││││││││┌ print_to_string(::String, ::String, ::LazyString) @ Base ./strings/io.jl:148
││││││││││┌ print(io::IOBuffer, s::LazyString) @ Base ./strings/io.jl:195
│││││││││││┌ iterate(s::LazyString) @ Base ./strings/lazy.jl:94
││││││││││││┌ String(l::LazyString) @ Base ./strings/lazy.jl:83
│││││││││││││┌ sprint(::Base.var"#120#121"{LazyString}) @ Base ./strings/io.jl:107
││││││││││││││┌ sprint(::Base.var"#120#121"{LazyString}; context::Nothing, sizehint::Int64) @ Base ./strings/io.jl:114
│││││││││││││││┌ (::Base.var"#120#121"{LazyString})(io::IOBuffer) @ Base ./strings/lazy.jl:85
││││││││││││││││ runtime dispatch detected: print(io::IOBuffer, %16::Any)::Any
│││││││││││││││└────────────────────
```

Co-authored-by: Shuhei Kadowaki <[email protected]>
Co-authored-by: Dilum Aluthge <[email protected]>
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