@@ -15,49 +15,49 @@ import ArrayLayouts: ApplyBroadcastStyle, QRCompactWYQLayout, QRCompactWYLayout,
1515 @test size (M) == (5 ,)
1616 @test similar (M) isa Vector{Float64}
1717 @test materialize (M) isa Vector{Float64}
18- @test all ( materialize (M) .=== (A\ b) .=== ldiv (A,b) )
18+ @test materialize (M) == (A\ b) == ldiv (A,b)
1919
2020 @test Base. BroadcastStyle (typeof (Ldiv (A,b))) isa ApplyBroadcastStyle
2121
22- @test all ( copyto! (similar (b), Ldiv (A,b)) .= ==
23- (similar (b) .= Ldiv (A,b)) .=== materialize (Ldiv (A,b)) .= ==
24- (A\ b) .=== (b̃ = copy (b); LAPACK. gesv! (copy (A), b̃); b̃) )
22+ @test copyto! (similar (b), Ldiv (A,b)) ==
23+ (similar (b) .= Ldiv (A,b)) == materialize (Ldiv (A,b)) ==
24+ (A\ b) == (b̃ = copy (b); LAPACK. gesv! (copy (A), b̃); b̃)
2525
2626 @test copyto! (similar (b), Ldiv (UpperTriangular (A) , b)) ≈ UpperTriangular (A) \ b
27- @test all ( copyto! (similar (b), Ldiv (UpperTriangular (A) , b)) .= ==
28- (similar (b) .= Ldiv (UpperTriangular (A),b)) .= ==
29- BLAS. trsv (' U' , ' N' , ' N' , A, b) )
27+ @test copyto! (similar (b), Ldiv (UpperTriangular (A) , b)) ==
28+ (similar (b) .= Ldiv (UpperTriangular (A),b)) ==
29+ BLAS. trsv (' U' , ' N' , ' N' , A, b)
3030
3131 @test copyto! (similar (b), Ldiv (UpperTriangular (A)' , b)) ≈ UpperTriangular (A)' \ b
32- @test all ( copyto! (similar (b), Ldiv (UpperTriangular (A)' , b)) .= ==
33- (similar (b) .= Ldiv (UpperTriangular (A)' ,b)) .= ==
34- copyto! (similar (b), Ldiv (transpose (UpperTriangular (A)) , b)) .= ==
35- (similar (b) .= Ldiv (transpose (UpperTriangular (A)),b)) .= ==
36- BLAS. trsv (' U' , ' T' , ' N' , A, b))
32+ @test copyto! (similar (b), Ldiv (UpperTriangular (A)' , b)) ==
33+ (similar (b) .= Ldiv (UpperTriangular (A)' ,b)) ==
34+ copyto! (similar (b), Ldiv (transpose (UpperTriangular (A)) , b)) ==
35+ (similar (b) .= Ldiv (transpose (UpperTriangular (A)),b)) ==
36+ BLAS. trsv (' U' , ' T' , ' N' , A, b)
3737 end
3838
3939 @testset " ComplexF64 \\ *" begin
4040 T = ComplexF64
4141 A = randn (T,5 ,5 )
4242 b = randn (T,5 )
43- @test all ( copyto! (similar (b), Ldiv (A,b)) .= ==
44- (similar (b) .= Ldiv (A,b)) .= ==
45- (A\ b) .=== (b̃ = copy (b); LAPACK. gesv! (copy (A), b̃); b̃) )
43+ @test copyto! (similar (b), Ldiv (A,b)) ==
44+ (similar (b) .= Ldiv (A,b)) ==
45+ (A\ b) == (b̃ = copy (b); LAPACK. gesv! (copy (A), b̃); b̃)
4646
4747 @test copyto! (similar (b), Ldiv (UpperTriangular (A) , b)) ≈ UpperTriangular (A) \ b
48- @test all ( copyto! (similar (b), Ldiv (UpperTriangular (A) , b)) .= ==
49- (similar (b) .= Ldiv (UpperTriangular (A),b)) .= ==
50- BLAS. trsv (' U' , ' N' , ' N' , A, b) )
48+ @test copyto! (similar (b), Ldiv (UpperTriangular (A) , b)) ==
49+ (similar (b) .= Ldiv (UpperTriangular (A),b)) ==
50+ BLAS. trsv (' U' , ' N' , ' N' , A, b)
5151
5252 @test copyto! (similar (b), Ldiv (UpperTriangular (A)' , b)) ≈ UpperTriangular (A)' \ b
53- @test all ( copyto! (similar (b), Ldiv (UpperTriangular (A)' , b)) .= ==
54- (similar (b) .= Ldiv (UpperTriangular (A)' ,b)) .= ==
55- BLAS. trsv (' U' , ' C' , ' N' , A, b))
53+ @test copyto! (similar (b), Ldiv (UpperTriangular (A)' , b)) ==
54+ (similar (b) .= Ldiv (UpperTriangular (A)' ,b)) ==
55+ BLAS. trsv (' U' , ' C' , ' N' , A, b)
5656
5757 @test copyto! (similar (b), Ldiv (transpose (UpperTriangular (A)) , b)) ≈ transpose (UpperTriangular (A)) \ b
58- @test all ( copyto! (similar (b), Ldiv (transpose (UpperTriangular (A)) , b)) .= ==
59- (similar (b) .= Ldiv (transpose (UpperTriangular (A)),b)) .= ==
60- BLAS. trsv (' U' , ' T' , ' N' , A, b))
58+ @test copyto! (similar (b), Ldiv (transpose (UpperTriangular (A)) , b)) ==
59+ (similar (b) .= Ldiv (transpose (UpperTriangular (A)),b)) ==
60+ BLAS. trsv (' U' , ' T' , ' N' , A, b)
6161 end
6262
6363 @testset " BigFloat Triangular \\ " begin
@@ -152,12 +152,12 @@ import ArrayLayouts: ApplyBroadcastStyle, QRCompactWYQLayout, QRCompactWYLayout,
152152 Q = F. Q
153153 @test MemoryLayout (F) isa QRCompactWYLayout
154154 @test MemoryLayout (Q) isa QRCompactWYQLayout
155- @test all ( ArrayLayouts. lmul! (Q,copy (b)) .=== lmul! (Q,copy (b) ))
156- @test all ( ArrayLayouts. lmul! (Q' ,copy (b)) .=== ArrayLayouts. ldiv! (Q,copy (b)) .=== lmul! (Q' ,copy (b) ))
157- @test all ( ArrayLayouts. lmul! (Q,copy (B)) .=== lmul! (Q,copy (B) ))
158- @test all ( ArrayLayouts. lmul! (Q' ,copy (B)) .=== ArrayLayouts. ldiv! (Q,copy (B)) .=== lmul! (Q' ,copy (B) ))
159- @test all ( ArrayLayouts. rmul! (copy (B),Q) .=== rmul! (copy (B),Q) )
160- @test all ( ArrayLayouts. rmul! (copy (B),Q' ) .=== ArrayLayouts. rdiv! (copy (B),Q) .=== rmul! (copy (B),Q' ) )
155+ @test ArrayLayouts. lmul! (Q,copy (b)) == lmul! (Q,copy (b))
156+ @test ArrayLayouts. lmul! (Q' ,copy (b)) == ArrayLayouts. ldiv! (Q,copy (b)) == lmul! (Q' ,copy (b))
157+ @test ArrayLayouts. lmul! (Q,copy (B)) == lmul! (Q,copy (B))
158+ @test ArrayLayouts. lmul! (Q' ,copy (B)) == ArrayLayouts. ldiv! (Q,copy (B)) == lmul! (Q' ,copy (B))
159+ @test ArrayLayouts. rmul! (copy (B),Q) == rmul! (copy (B),Q)
160+ @test ArrayLayouts. rmul! (copy (B),Q' ) == ArrayLayouts. rdiv! (copy (B),Q) == rmul! (copy (B),Q' )
161161 @test ArrayLayouts. ldiv! (F,copy (b)) ≈ ldiv! (F,copy (b)) # only approx since we use BLAS.trsv!
162162 @test ArrayLayouts. ldiv! (F,copy (B)) ≈ ldiv! (F,copy (B)) # only approx since we use BLAS.trsv!
163163
@@ -176,11 +176,11 @@ import ArrayLayouts: ApplyBroadcastStyle, QRCompactWYQLayout, QRCompactWYLayout,
176176 Q = F. Q
177177 @test MemoryLayout (F) isa QRPackedLayout
178178 @test MemoryLayout (Q) isa QRPackedQLayout
179- @test all ( ArrayLayouts. lmul! (Q,copy (b)) .=== lmul! (Q,copy (b) ))
180- @test all ( ArrayLayouts. lmul! (Q' ,copy (b)) .=== ArrayLayouts. ldiv! (Q,copy (b)) .=== lmul! (Q' ,copy (b) ))
181- @test all ( ArrayLayouts. lmul! (Q,copy (B)) .=== lmul! (Q,copy (B) ))
182- @test all ( ArrayLayouts. lmul! (Q' ,copy (B)) .=== ArrayLayouts. ldiv! (Q,copy (B)) .=== lmul! (Q' ,copy (B) ))
183- @test all ( ArrayLayouts. rmul! (copy (B),Q) .=== rmul! (copy (B),Q) )
179+ @test ArrayLayouts. lmul! (Q,copy (b)) == lmul! (Q,copy (b))
180+ @test ArrayLayouts. lmul! (Q' ,copy (b)) == ArrayLayouts. ldiv! (Q,copy (b)) == lmul! (Q' ,copy (b))
181+ @test ArrayLayouts. lmul! (Q,copy (B)) == lmul! (Q,copy (B))
182+ @test ArrayLayouts. lmul! (Q' ,copy (B)) == ArrayLayouts. ldiv! (Q,copy (B)) == lmul! (Q' ,copy (B))
183+ @test ArrayLayouts. rmul! (copy (B),Q) == rmul! (copy (B),Q)
184184 @test ArrayLayouts. rmul! (copy (B),Q' ) ≈ ArrayLayouts. rdiv! (copy (B),Q) ≈ rmul! (copy (B),Q' )
185185 @test ArrayLayouts. ldiv! (F,copy (b)) ≈ ldiv! (F,copy (b)) # only approx since we use BLAS.trsv!
186186 @test ArrayLayouts. ldiv! (F,copy (B)) ≈ ldiv! (F,copy (B)) # only approx since we use BLAS.trsv!
@@ -216,11 +216,11 @@ import ArrayLayouts: ApplyBroadcastStyle, QRCompactWYQLayout, QRCompactWYLayout,
216216 B = T .(randn (12 ,12 ))
217217 F = LinearAlgebra. qrfactUnblocked! (copy (A))
218218 Q = F. Q
219- @test all ( ArrayLayouts. lmul! (Q,copy (b)) == lmul! (Q,copy (b) ))
220- @test all ( ArrayLayouts. lmul! (Q' ,copy (b)) == ArrayLayouts. ldiv! (Q,copy (b)) == lmul! (Q' ,copy (b) ))
221- @test all ( ArrayLayouts. lmul! (Q,copy (B)) == lmul! (Q,copy (B) ))
222- @test all ( ArrayLayouts. lmul! (Q' ,copy (B)) == ArrayLayouts. ldiv! (Q,copy (B)) == lmul! (Q' ,copy (B) ))
223- @test all ( ArrayLayouts. rmul! (copy (B),Q) == rmul! (copy (B),Q) )
219+ @test ArrayLayouts. lmul! (Q,copy (b)) == lmul! (Q,copy (b))
220+ @test ArrayLayouts. lmul! (Q' ,copy (b)) == ArrayLayouts. ldiv! (Q,copy (b)) == lmul! (Q' ,copy (b))
221+ @test ArrayLayouts. lmul! (Q,copy (B)) == lmul! (Q,copy (B))
222+ @test ArrayLayouts. lmul! (Q' ,copy (B)) == ArrayLayouts. ldiv! (Q,copy (B)) == lmul! (Q' ,copy (B))
223+ @test ArrayLayouts. rmul! (copy (B),Q) == rmul! (copy (B),Q)
224224 @test ArrayLayouts. rmul! (copy (B),Q' ) ≈ ArrayLayouts. rdiv! (copy (B),Q) ≈ rmul! (copy (B),Q' )
225225 @test ArrayLayouts. ldiv! (F,copy (b)) ≈ ldiv! (F,copy (b)) # only approx since we use BLAS.trsv!
226226 @test ArrayLayouts. ldiv! (F,copy (B)) ≈ ldiv! (F,copy (B)) # only approx since we use BLAS.trsv!
@@ -232,11 +232,11 @@ import ArrayLayouts: ApplyBroadcastStyle, QRCompactWYQLayout, QRCompactWYLayout,
232232 B = T .(randn (10 ,10 ))
233233 F = LinearAlgebra. qrfactUnblocked! (copy (A))
234234 Q = F. Q
235- @test all ( ArrayLayouts. lmul! (Q,copy (b)) == lmul! (Q,copy (b) ))
236- @test all ( ArrayLayouts. lmul! (Q' ,copy (b)) == ArrayLayouts. ldiv! (Q,copy (b)) == lmul! (Q' ,copy (b) ))
237- @test all ( ArrayLayouts. lmul! (Q,copy (B)) == lmul! (Q,copy (B) ))
238- @test all ( ArrayLayouts. lmul! (Q' ,copy (B)) == ArrayLayouts. ldiv! (Q,copy (B)) == lmul! (Q' ,copy (B) ))
239- @test all ( ArrayLayouts. rmul! (copy (B),Q) == rmul! (copy (B),Q) )
235+ @test ArrayLayouts. lmul! (Q,copy (b)) == lmul! (Q,copy (b))
236+ @test ArrayLayouts. lmul! (Q' ,copy (b)) == ArrayLayouts. ldiv! (Q,copy (b)) == lmul! (Q' ,copy (b))
237+ @test ArrayLayouts. lmul! (Q,copy (B)) == lmul! (Q,copy (B))
238+ @test ArrayLayouts. lmul! (Q' ,copy (B)) == ArrayLayouts. ldiv! (Q,copy (B)) == lmul! (Q' ,copy (B))
239+ @test ArrayLayouts. rmul! (copy (B),Q) == rmul! (copy (B),Q)
240240 @test ArrayLayouts. rmul! (copy (B),Q' ) ≈ ArrayLayouts. rdiv! (copy (B),Q) ≈ rmul! (copy (B),Q' )
241241
242242 @test_throws DimensionMismatch ArrayLayouts. ldiv! (F,copy (b))
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