JuliaArrays / JuliaArrays/StaticArrays.jl

eigen fails for the identity matrix with StaticArray int type

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Dominant language
Julia
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Description

My version is Julia 1.6.2.

using LinearAlgebra    
using StaticArrays
m3 = SMatrix{3,3}(1I)
eigen(m3) 

MethodError: no method matching precision(::Type{Int64})
Closest candidates are:
precision(::Type{Float16}) at float.jl:599
precision(::Type{Float32}) at float.jl:600
precision(::Type{Float64}) at float.jl:601
Stacktrace:
[1] _eig
@ ~/.julia/packages/StaticArrays/vxjOO/src/eigen.jl:314 [inlined]
[2] _eig
@ ~/.julia/packages/StaticArrays/vxjOO/src/eigen.jl:134 [inlined]
[3] #eigen#629
@ ~/.julia/packages/StaticArrays/vxjOO/src/eigen.jl:418 [inlined]
[4] eigen(A::SMatrix{3, 3, Int64, 9})
@ StaticArrays ~/.julia/packages/StaticArrays/vxjOO/src/eigen.jl:418
[5] top-level scope
@ In[39]:1
[6] eval
@ ./boot.jl:360 [inlined]
[7] include_string(mapexpr::typeof(REPL.softscope), mod::Module, code::String, filename::String)
@ Base ./loading.jl:1116

I tested with

m3 = [1 0 0; 0 1 0; 0 0 1]
m2 = SMatrix{2,2}(1I)
m3 = SMatrix{3,3}{Float64}(1I)]
m4 = SMatrix{4,4}(1I)

They all worked.

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Research direction

Reproduce the failure with the SMatrix identity example, then start in src/eigen.jl around the _eig implementation at the reported line. Trace how the integer element type reaches the precision call and verify that eigen works for the identity matrix with an integer StaticArray, while the existing Float64 and other size cases continue to work.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
backend
Issue type
Bug
Difficulty
3/5
Estimated time
1-2 days
Activity status
Stale
Clarity
Clearly specified
Newbie friendliness
52/100

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