[LinearAlgebra] Correct liblapack binding (#40170)

* [LinearAlgebra] Correct  binding

* fix English

* bring liblapack back into BLAS module

(cherry picked from commit 65e1348)

Author: lkapelevich

stdlib/LinearAlgebra/src/lapack.jl

@@ -7,6 +7,11 @@ Interfaces to LAPACK subroutines.
 
 const liblapack = Base.liblapack_name
 
+# Legacy binding maintained for backwards-compatibility but new packages
+# should not look at this, instead preferring to parse the output
+# of BLAS.get_config()
+const liblapack = libblastrampoline
+
 import ..LinearAlgebra.BLAS.@blasfunc
 
 import ..LinearAlgebra: BlasFloat, BlasInt, LAPACKException,

stdlib/LinearAlgebra/test/blas.jl

@@ -617,4 +617,8 @@ end
     end
 end
 
+# https://github.com/JuliaLang/julia/pull/39845
+@test LinearAlgebra.BLAS.libblas == "libblastrampoline"
+@test LinearAlgebra.BLAS.liblapack == "libblastrampoline"
+
 end # module TestBLAS

stdlib/LinearAlgebra/test/lapack.jl

@@ -702,4 +702,7 @@ let A = [NaN NaN; NaN NaN]
     @test_throws ArgumentError eigen(A)
 end
 
+# # https://github.com/JuliaLang/julia/pull/39845
+@test LinearAlgebra.LAPACK.liblapack == "libblastrampoline"
+
 end # module TestLAPACK