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deprecate sqrtm in favor of sqrt #23504

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Aug 31, 2017
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@Sacha0 Sacha0 commented Aug 29, 2017

This pull request deprecates the spelling sqrtm for matrix square root in favor of sqrt. Followup to the much-debated #23233. Also ref. #19598 and #8450. Best!

@Sacha0 Sacha0 added deprecation This change introduces or involves a deprecation linear algebra Linear algebra labels Aug 29, 2017
@@ -676,7 +676,7 @@ end
a = rand(elty)
@test exp(a) == exp(a)
@test isposdef(one(elty))
@test sqrtm(a) == sqrt(a)
@test sqrt(a) == sqrt(a)
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Could probably drop this test

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might as well drop the exp(a) == exp(a) one too while at it.

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If those tests fail, we know something more fundamentally, existentially wrong.

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Well, we do also test @test true and @test !false, etc.

@andreasnoack andreasnoack merged commit 44fe78c into JuliaLang:master Aug 31, 2017
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garrison commented Sep 1, 2017

One thing that bothers me about the new behavior is a way in which functions with a branch cut now behave differently between scalars and matrices. For instance,

julia> sqrt(diagm([-4]))
1×1 Array{Complex{Float64},2}:
 0.0 + 2.0im

julia> sqrt(-4)
ERROR: DomainError with -4.0:
sqrt will only return a complex result if called with a complex argument. Try sqrt(Complex(x)).

I did not see any mention of this in the discussion (though I have may missed it -- there is a lot of discussion, but much is for exp [#23233], a function with no branch cut).

This seems pretty minor to me, but I'm trying to think whether this behavior difference might have any meaningful consequences when writing generic code.

@fredrikekre
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@StefanKarpinski
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It would definitely be good to see if we can get the branch cuts to match between scalars and matrices. That's the kind of attention to detail that we're into around here :)

@Sacha0 Sacha0 deleted the depsqrtm branch September 1, 2017 18:59
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Sacha0 commented Sep 1, 2017

Thanks all! :)

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6 participants