baseline

Author: tgymnich

lib/mps/linalg.jl

@@ -192,30 +192,43 @@ function LinearAlgebra.transpose!(B::MtlMatrix{T}, A::MtlMatrix{T}) where {T}
 
     commit!(cmdbuf)
 
+    wait_completed(cmdbuf)
+
     return B
 end
 
 
+function LinearAlgebra.:(\)(A::LU{T, <:MtlMatrix{T}, <:MtlVector{UInt32}}, B::MtlVecOrMat{T}) where {T<:MtlFloat}
+    C = deepcopy(B)
+    LinearAlgebra.ldiv!(A, C)
+    return C
+end
+
+
 function LinearAlgebra.ldiv!(A::LU{T, <:MtlMatrix{T}, <:MtlVector{UInt32}}, B::MtlVecOrMat{T}) where {T<:MtlFloat}
     M,N = size(B,1), size(B,2)
     dev = current_device()
     queue = global_queue(dev)
 
-    Bt = reshape(B, (N,M))
+    At = similar(A.factors)
+    Bt = similar(B, (N,M))
     P = reshape((A.ipiv .- UInt32(1)), (1,M))
-    X = similar(B)
+    X = similar(B, (N,M))
+
+    transpose!(At, A.factors)
+    transpose!(Bt, B)
 
-    mps_a = MPSMatrix(A.factors)
+    mps_a = MPSMatrix(At)
     mps_b = MPSMatrix(Bt)
     mps_p = MPSMatrix(P)
     mps_x = MPSMatrix(X)
 
     MTLCommandBuffer(queue) do cmdbuf
-        kernel = MPSMatrixSolveLU(dev, true, M, N)
+        kernel = MPSMatrixSolveLU(dev, false, M, N)
         encode!(cmdbuf, kernel, mps_a, mps_b, mps_p, mps_x)
     end
 
-    Bt .= X
+    transpose!(B, X)
     return B
 end
 
@@ -225,20 +238,24 @@ function LinearAlgebra.ldiv!(A::UpperTriangular{T, <:MtlMatrix{T}}, B::MtlVecOrM
     dev = current_device()
     queue = global_queue(dev)
 
-    Ad = MtlMatrix(A; storage=Private)
-    Bt = reshape(B, (N,M))
-    X = similar(B)
+    Ad = MtlMatrix(A')
+    Br = similar(B, (M,M))
+    X = similar(Br)
+
+    transpose!(Br, B)
 
     mps_a = MPSMatrix(Ad)
-    mps_b = MPSMatrix(Bt)
+    mps_b = MPSMatrix(Br)
     mps_x = MPSMatrix(X)
 
-    MTLCommandBuffer(queue) do cmdbuf
-        kernel = MPSMatrixSolveTriangular(dev, false, false, false, false, M, N, 1.0)
+    buf = MTLCommandBuffer(queue) do cmdbuf
+        kernel = MPSMatrixSolveTriangular(dev, false, true, false, false, N, M, 1.0)
         encode!(cmdbuf, kernel, mps_a, mps_b, mps_x)
     end
 
-    Bt .= X
+    wait_completed(buf)
+
+    copy!(B, X)
     return B
 end
 
@@ -248,20 +265,23 @@ function LinearAlgebra.ldiv!(A::UnitUpperTriangular{T, <:MtlMatrix{T}}, B::MtlVe
     dev = current_device()
     queue = global_queue(dev)
 
-    Ad = MtlMatrix(A; storage=Private)
-    Bt = reshape(B, (N,M))
-    X = similar(B)
+    Ad = MtlMatrix(A)
+    Br = reshape(B, (M,N))
+    X = similar(Br)
 
     mps_a = MPSMatrix(Ad)
-    mps_b = MPSMatrix(Bt)
+    mps_b = MPSMatrix(Br)
     mps_x = MPSMatrix(X)
 
-    MTLCommandBuffer(queue) do cmdbuf
-        kernel = MPSMatrixSolveTriangular(dev, false, false, false, true, M, N, 1.0)
+    
+    buf = MTLCommandBuffer(queue) do cmdbuf
+        kernel = MPSMatrixSolveTriangular(dev, true, false, false, true, M, N, 1.0)
         encode!(cmdbuf, kernel, mps_a, mps_b, mps_x)
     end
 
-    Bt .= X
+    wait_completed(buf)
+
+    copy!(Br, X)
     return B
 end
 
@@ -271,20 +291,23 @@ function LinearAlgebra.ldiv!(A::LowerTriangular{T, <:MtlMatrix{T}}, B::MtlVecOrM
     dev = current_device()
     queue = global_queue(dev)
 
-    Ad = MtlMatrix(A; storage=Private)
-    Bt = reshape(B, (N,M))
-    X = similar(B)
+    Ad = MtlMatrix(A)
+    Br = reshape(B, (M,N))
+    X = similar(Br)
 
     mps_a = MPSMatrix(Ad)
-    mps_b = MPSMatrix(Bt)
+    mps_b = MPSMatrix(Br)
     mps_x = MPSMatrix(X)
 
-    MTLCommandBuffer(queue) do cmdbuf
-        kernel = MPSMatrixSolveTriangular(dev, false, true, false, false, M, N, 1.0)
+    
+    buf = MTLCommandBuffer(queue) do cmdbuf
+        kernel = MPSMatrixSolveTriangular(dev, true, true, false, false, M, N, 1.0)
         encode!(cmdbuf, kernel, mps_a, mps_b, mps_x)
     end
 
-    Bt .= X
+    wait_completed(buf)
+
+    copy!(Br, X)
     return B
 end
 
@@ -294,19 +317,22 @@ function LinearAlgebra.ldiv!(A::UnitLowerTriangular{T, <:MtlMatrix{T}}, B::MtlVe
     dev = current_device()
     queue = global_queue(dev)
 
-    A = MtlMatrix(A; storage=Private)
-    Bt = reshape(B, (N,M))
-    X = similar(B)
+    Ad = MtlMatrix(A)
+    Br = reshape(B, (M,N))
+    X = similar(Br)
 
-    mps_a = MPSMatrix(A)
-    mps_b = MPSMatrix(Bt)
+    mps_a = MPSMatrix(Ad)
+    mps_b = MPSMatrix(Br)
     mps_x = MPSMatrix(X)
 
-    MTLCommandBuffer(queue) do cmdbuf
-        kernel = MPSMatrixSolveTriangular(dev, false, true, false, true, M, N, 1.0)
+    
+    buf = MTLCommandBuffer(queue) do cmdbuf
+        kernel = MPSMatrixSolveTriangular(dev, true, true, false, true, M, N, 1.0)
         encode!(cmdbuf, kernel, mps_a, mps_b, mps_x)
     end
 
-    Bt .= X
+    wait_completed(buf)
+
+    copy!(Br, X)
     return B
 end

test/mps.jl

@@ -58,4 +58,39 @@ end
     @test_throws SingularException lu(A)
 end
 
+@testset "solves" begin
+    b = MtlVector(rand(Float32, 1024))
+    B = MtlMatrix(rand(Float32, 1024, 1024))
+
+    A = MtlMatrix(rand(Float32, 1024, 512))
+    x = lu(A) \ b
+    @test A * x ≈ b
+    X = lu(A) \ B
+    @test A * X ≈ B
+
+    A = UpperTriangular(MtlMatrix(rand(Float32, 1024, 1024)))
+    x = A \ b
+    @test A * x ≈ b
+    X = A \ B
+    @test A * X ≈ B
+
+    A = UnitUpperTriangular(MtlMatrix(rand(Float32, 1024, 1024)))
+    x = A \ b
+    @test A * x ≈ b
+    X = A \ B
+    @test A * X ≈ B
+
+    A = LowerTriangular(MtlMatrix(rand(Float32, 1024, 1024)))
+    x = A \ b
+    @test A * x ≈ b
+    X = A \ B
+    @test A * X ≈ B
+
+    A = UnitLowerTriangular(MtlMatrix(rand(Float32, 1024, 1024)))
+    x = A \ b
+    @test A * x ≈ b
+    X = A \ B
+    @test A * X ≈ B
+end
+
 end