Fixed Ac_mul_Bt and added export and tests, added a missing lapack test

[kshyatt]

No description provided.

[tkelman]

travis failure was #15294, restarted

    From worker 4:       * numbers              Error During Test
    From worker 4:    Test threw an exception of type UndefVarError
    From worker 4:    Expression: round(T,true // false) === convert(T,Inf)
    From worker 4:    UndefVarError: no_op_err not defined
    From worker 4:     in gcd(::Bool, ::Bool) at ./intfuncs.jl:11
    From worker 4:     in Rational{Bool}(::Bool, ::Bool) at ./rational.jl:9
    From worker 4:     [inlined code] from /tmp/julia/share/julia/test/numbers.jl:2849
    From worker 4:     in anonymous at ./no file:4294967295
    From worker 4:     [inlined code] from ./essentials.jl:79
    From worker 4:     in include_string(::UTF8String, ::ASCIIString) at ./loading.jl:371
    From worker 4:     in include_from_node1(::ASCIIString) at ./loading.jl:420
    From worker 4:     [inlined code] from ./util.jl:179
    From worker 4:     in runtests(::ASCIIString) at /tmp/julia/share/julia/test/testdefs.jl:7
    From worker 4:     in (::Base.Serializer.__deserialized_types__.##9186)(::ASCIIString) at /tmp/julia/share/julia/test/runtests.jl:36
    From worker 4:     in run_work_thunk(::Base.##254#256{Base.CallMsg{:call_fetch}}, ::Bool) at ./multi.jl:714
    From worker 4:     [inlined code] from ./multi.jl:1010
    From worker 4:     in (::Base.##253#255{Base.CallMsg{:call_fetch},TCPSocket})() at ./task.jl:59

[timholy]

Why is it important to test for this?

[kshyatt]

https://codecov.io/github/JuliaLang/julia/base/linalg/matmul.jl?ref=1eacbbbb9a686292a12e89bcc4d9559c22928b83#l-46

[timholy]

I'm being dense, but that line seems to require a BlasReal and this is Any. The test seems to call https://codecov.io/github/JuliaLang/julia/base/linalg/generic.jl?ref=1eacbbbb9a686292a12e89bcc4d9559c22928b83#l-270, which is (mostly) covered, and which ends up being a test of whether zero(Any) is defined.

[kshyatt]

I think you're right. I'll remove this for now and we can come back to it later.

[kshyatt]

CI passed! Anyone have further thoughts?

[tkelman]

should this actually get tested on complex inputs so we can be sure the conjugation behavior is right?

[andreasnoack]

Hm. We actually don't have parsing for Ac_mul_Bt

julia> expand(:(A'*B.'))
:(Ac_mul_B(A,transpose(B)))

which probably explains why the bug has never surfaced. We should maybe just delete the methods.

[kshyatt]

@andreasnoack do you want me to delete the methods, or should we add the parsing?

[andreasnoack]

Let's delete them.