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test/basics/test_svd.jl

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using Test
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using BlockSparseArrays
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using BlockSparseArrays:
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BlockSparseArray, svd, notrunc, truncbelow, truncdim, BlockDiagonal
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using BlockSparseArrays: BlockSparseArray, svd, notrunc, truncbelow, truncdim, BlockDiagonal
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using BlockArrays
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using LinearAlgebra: LinearAlgebra, Diagonal, svdvals
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using Random
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function test_svd(a, usv)
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U, S, V = usv
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U, S, V = usv
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@test U * Diagonal(S) * V' a
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@test U' * U LinearAlgebra.I
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@test V' * V LinearAlgebra.I
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@test U * Diagonal(S) * V' a
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@test U' * U LinearAlgebra.I
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@test V' * V LinearAlgebra.I
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end
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# regular matrix
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# --------------
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sizes = ((3, 3), (4, 3), (3, 4))
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eltypes = (Float32, Float64, ComplexF64)
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@testset "($m, $n) Matrix{$T}" for ((m, n), T) in Iterators.product(sizes, eltypes)
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a = rand(m, n)
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usv = @inferred svd(a)
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test_svd(a, usv)
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a = rand(m, n)
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usv = @inferred svd(a)
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test_svd(a, usv)
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end
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# block matrix
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# ------------
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blockszs = (([2, 2], [2, 2]), ([2, 2], [2, 3]), ([2, 2, 1], [2, 3]), ([2, 3], [2]))
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@testset "($m, $n) BlockMatrix{$T}" for ((m, n), T) in Iterators.product(blockszs, eltypes)
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a = mortar([rand(T, i, j) for i in m, j in n])
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usv = svd(a)
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test_svd(a, usv)
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@test usv.U isa BlockedMatrix
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@test usv.Vt isa BlockedMatrix
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@test usv.S isa BlockedVector
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a = mortar([rand(T, i, j) for i in m, j in n])
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usv = svd(a)
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test_svd(a, usv)
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@test usv.U isa BlockedMatrix
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@test usv.Vt isa BlockedMatrix
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@test usv.S isa BlockedVector
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end
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# Block-Diagonal matrices
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# -----------------------
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@testset "($m, $n) BlockDiagonal{$T}" for ((m, n), T) in
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Iterators.product(blockszs, eltypes)
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a = BlockDiagonal([rand(T, i, j) for (i, j) in zip(m, n)])
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usv = svd(a)
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# TODO: `BlockDiagonal * Adjoint` errors
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test_svd(a, usv)
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@test usv.U isa BlockDiagonal
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@test usv.Vt isa BlockDiagonal
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@test usv.S isa BlockVector
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a = BlockDiagonal([rand(T, i, j) for (i, j) in zip(m, n)])
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usv = svd(a)
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# TODO: `BlockDiagonal * Adjoint` errors
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test_svd(a, usv)
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@test usv.U isa BlockDiagonal
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@test usv.Vt isa BlockDiagonal
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@test usv.S isa BlockVector
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end
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a = mortar([rand(2, 2) for i in 1:2, j in 1:3])
@@ -60,24 +60,24 @@ test_svd(a, usv)
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# -----------
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@testset "($m, $n) BlockDiagonal{$T}" for ((m, n), T) in
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Iterators.product(blockszs, eltypes)
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a = BlockSparseArray{T}(m, n)
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for i in LinearAlgebra.diagind(blocks(a))
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I = CartesianIndices(blocks(a))[i]
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a[Block(I.I...)] = rand(T, size(blocks(a)[i]))
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end
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perm = Random.randperm(length(m))
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a = a[Block.(perm), Block.(1:length(n))]
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a = BlockSparseArray{T}(m, n)
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for i in LinearAlgebra.diagind(blocks(a))
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I = CartesianIndices(blocks(a))[i]
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a[Block(I.I...)] = rand(T, size(blocks(a)[i]))
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end
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perm = Random.randperm(length(m))
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a = a[Block.(perm), Block.(1:length(n))]
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# errors because `blocks(a)[CartesianIndex.(...)]` is not implemented
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usv = svd(a)
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# TODO: `BlockDiagonal * Adjoint` errors
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test_svd(a, usv)
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@test usv.U isa BlockDiagonal
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@test usv.Vt isa BlockDiagonal
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@test usv.S isa BlockVector
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# errors because `blocks(a)[CartesianIndex.(...)]` is not implemented
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usv = svd(a)
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# TODO: `BlockDiagonal * Adjoint` errors
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test_svd(a, usv)
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@test usv.U isa BlockDiagonal
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@test usv.Vt isa BlockDiagonal
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@test usv.S isa BlockVector
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79-
test_svd(a, usv2)
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@test usv.U isa BlockDiagonal
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@test usv.Vt isa BlockDiagonal
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@test usv.S isa BlockVector
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test_svd(a, usv2)
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@test usv.U isa BlockDiagonal
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@test usv.Vt isa BlockDiagonal
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@test usv.S isa BlockVector
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end

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