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sparsematrix_constructors_indexing.jl
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module SparseMatrixConstructorIndexingTests
using Test
using SparseArrays
using SparseArrays: getcolptr, nonzeroinds, _show_with_braille_patterns
using LinearAlgebra
using Random
using Printf: @printf # for debug
using Test: guardseed
using InteractiveUtils: @which
using Dates
include("forbidproperties.jl")
include("simplesmatrix.jl")
@testset "uniform scaling should not change type #103" begin
A = spzeros(Float32, Int8, 5, 5)
B = I - A
@test typeof(B) == typeof(A)
end
@testset "spzeros de-splatting" begin
@test spzeros(Float64, Int64, (2, 2)) == spzeros(Float64, Int64, 2, 2)
@test spzeros(Float64, Int32, (2, 2)) == spzeros(Float64, Int32, 2, 2)
@test spzeros(Float32, (3, 2)) == spzeros(Float32, Int, 3, 2)
@test spzeros((3, 2)) == spzeros((3, 2)...)
end
@testset "conversion to AbstractMatrix/SparseMatrix of same eltype" begin
a = sprand(5, 5, 0.2)
@test AbstractMatrix{eltype(a)}(a) == a
@test SparseMatrixCSC{eltype(a)}(a) == a
@test SparseMatrixCSC{eltype(a), Int}(a) == a
@test SparseMatrixCSC{eltype(a)}(Array(a)) == a
@test Array(SparseMatrixCSC{eltype(a), Int8}(a)) == Array(a)
end
@testset "sparse matrix construction" begin
@test (A = fill(1.0+im,5,5); isequal(Array(sparse(A)), A))
@test_throws ArgumentError sparse([1,2,3], [1,2], [1,2,3], 3, 3)
@test_throws ArgumentError sparse([1,2,3], [1,2,3], [1,2], 3, 3)
@test_throws ArgumentError sparse([1,2,3], [1,2,3], [1,2,3], 0, 1)
@test_throws ArgumentError sparse([1,2,3], [1,2,3], [1,2,3], 1, 0)
@test_throws ArgumentError sparse([1,2,4], [1,2,3], [1,2,3], 3, 3)
@test_throws ArgumentError sparse([1,2,3], [1,2,4], [1,2,3], 3, 3)
@test isequal(sparse(Int[], Int[], Int[], 0, 0), SparseMatrixCSC(0, 0, Int[1], Int[], Int[]))
@test isequal(sparse(big.([1,1,1,2,2,3,4,5]),big.([1,2,3,2,3,3,4,5]),big.([1,2,4,3,5,6,7,8]), 6, 6),
SparseMatrixCSC(6, 6, big.([1,2,4,7,8,9,9]), big.([1,1,2,1,2,3,4,5]), big.([1,2,3,4,5,6,7,8])))
@test sparse(Any[1,2,3], Any[1,2,3], Any[1,1,1]) == sparse([1,2,3], [1,2,3], [1,1,1])
@test sparse(Any[1,2,3], Any[1,2,3], Any[1,1,1], 5, 4) == sparse([1,2,3], [1,2,3], [1,1,1], 5, 4)
# with combine
@test sparse([1, 1, 2, 2, 2], [1, 2, 1, 2, 2], 1.0, 2, 2, +) == sparse([1, 1, 2, 2], [1, 2, 1, 2], [1.0, 1.0, 1.0, 2.0], 2, 2)
@test sparse([1, 1, 2, 2, 2], [1, 2, 1, 2, 2], -1.0, 2, 2, *) == sparse([1, 1, 2, 2], [1, 2, 1, 2], [-1.0, -1.0, -1.0, 1.0], 2, 2)
@test sparse(sparse(Int32.(1:5), Int32.(1:5), trues(5))') isa SparseMatrixCSC{Bool,Int32}
end
@testset "concatenation tests" begin
sp33 = sparse(1.0I, 3, 3)
se33 = SparseMatrixCSC{Float64}(I, 3, 3)
do33 = fill(1.,3)
@testset "horizontal concatenation" begin
@test [se33 se33] == [Array(se33) Array(se33)]
@test length(nonzeros([sp33 0I])) == 3
end
@testset "vertical concatenation" begin
@test [se33; se33] == [Array(se33); Array(se33)]
se33_32bit = convert(SparseMatrixCSC{Float32,Int32}, se33)
@test [se33; se33_32bit] == [Array(se33); Array(se33_32bit)]
@test length(nonzeros([sp33; 0I])) == 3
end
se44 = sparse(1.0I, 4, 4)
sz42 = spzeros(4, 2)
sz41 = spzeros(4, 1)
sz34 = spzeros(3, 4)
se77 = sparse(1.0I, 7, 7)
@testset "h+v concatenation" begin
@test @inferred(hvcat((3, 2), se44, sz42, sz41, sz34, se33)) == se77 # [se44 sz42 sz41; sz34 se33]
@test length(nonzeros([sp33 0I; 1I 0I])) == 6
end
@testset "blockdiag concatenation" begin
@test blockdiag(se33, se33) == sparse(1:6,1:6,fill(1.,6))
@test blockdiag() == spzeros(0, 0)
@test nnz(blockdiag()) == 0
end
@testset "Diagonal of sparse matrices" begin
s = sparse([1 2; 3 4])
D = Diagonal([s, s])
@test D[1, 1] == s
@test D[1, 2] == zero(s)
@test isa(D[2, 1], SparseMatrixCSC)
end
@testset "concatenation promotion" begin
sz41_f32 = spzeros(Float32, 4, 1)
se33_i32 = sparse(Int32(1)I, 3, 3)
@test [se44 sz42 sz41_f32; sz34 se33_i32] == se77
end
@testset "mixed sparse-dense concatenation" begin
sz33 = spzeros(3, 3)
de33 = Matrix(1.0I, 3, 3)
@test [se33 de33; sz33 se33] == Array([se33 se33; sz33 se33 ])
end
# check splicing + concatenation on random instances, with nested vcat and also side-checks sparse ref
@testset "splicing + concatenation on random instances" begin
for i = 1 : 10
a = sprand(5, 4, 0.5)
@test [a[1:2,1:2] a[1:2,3:4]; a[3:5,1] [a[3:4,2:4]; a[5:5,2:4]]] == a
end
end
# should all yield sparse arrays
@testset "concatenations of combinations of special and other matrix types" begin
N = 4
diagmat = Diagonal(1:N)
bidiagmat = Bidiagonal(1:N, 1:(N-1), :U)
tridiagmat = Tridiagonal(1:(N-1), 1:N, 1:(N-1))
symtridiagmat = SymTridiagonal(1:N, 1:(N-1))
specialmats = (diagmat, bidiagmat, tridiagmat, symtridiagmat)
# Test concatenating pairwise combinations of special matrices with sparse matrices,
# dense matrices, or dense vectors
spmat = spdiagm(0 => fill(1., N))
dmat = Array(spmat)
spvec = sparse(fill(1., N))
dvec = Array(spvec)
for specialmat in specialmats
# --> Tests applicable only to pairs of matrices
@test issparse(vcat(specialmat, spmat))
@test issparse(vcat(spmat, specialmat))
@test sparse_vcat(specialmat, dmat)::SparseMatrixCSC == vcat(specialmat, spmat)
@test sparse_vcat(dmat, specialmat)::SparseMatrixCSC == vcat(spmat, specialmat)
# --> Tests applicable also to pairs including vectors
for specialmat in specialmats, (smatorvec, dmatorvec) in ((spmat, dmat), (spvec, dvec))
@test issparse(hcat(specialmat, smatorvec))
@test sparse_hcat(specialmat, dmatorvec)::SparseMatrixCSC == hcat(specialmat, smatorvec)
@test issparse(hcat(smatorvec, specialmat))
@test sparse_hcat(dmatorvec, specialmat)::SparseMatrixCSC == hcat(smatorvec, specialmat)
@test issparse(hvcat((2,), specialmat, smatorvec))
@test sparse_hvcat((2,), specialmat, dmatorvec)::SparseMatrixCSC == hvcat((2,), specialmat, smatorvec)
@test issparse(hvcat((2,), smatorvec, specialmat))
@test sparse_hvcat((2,), dmatorvec, specialmat)::SparseMatrixCSC == hvcat((2,), smatorvec, specialmat)
@test issparse(cat(specialmat, smatorvec; dims=(1,2)))
@test issparse(cat(smatorvec, specialmat; dims=(1,2)))
end
end
end
# Test that concatenations of annotated sparse/special matrix types with other matrix
# types yield sparse arrays, and that the code which effects that does not make concatenations
# strictly involving un/annotated dense matrices yield sparse arrays
@testset "concatenations of annotated types" begin
N = 4
# The tested annotation types
testfull = Bool(parse(Int,(get(ENV, "JULIA_TESTFULL", "0"))))
utriannotations = (UpperTriangular, UnitUpperTriangular)
ltriannotations = (LowerTriangular, UnitLowerTriangular)
triannotations = (utriannotations..., ltriannotations...)
symannotations = (Symmetric, Hermitian)
annotations = testfull ? (triannotations..., symannotations...) : (LowerTriangular, Symmetric)
# Concatenations involving these types, un/annotated, should yield sparse arrays
spvec = spzeros(N)
spmat = sparse(1.0I, N, N)
diagmat = Diagonal(1:N)
bidiagmat = Bidiagonal(1:N, 1:(N-1), :U)
tridiagmat = Tridiagonal(1:(N-1), 1:N, 1:(N-1))
symtridiagmat = SymTridiagonal(1:N, 1:(N-1))
sparseconcatmats = testfull ? (spmat, diagmat, bidiagmat, tridiagmat, symtridiagmat) : (spmat, diagmat)
# Concatenations involving strictly these types, un/annotated, should yield dense arrays
densevec = Array(spvec)
densemat = Array(spmat)
# Annotated collections
annodmats = [annot(densemat) for annot in annotations]
annospcmats = [annot(spmat) for annot in annotations]
# Test that concatenations of pairwise combinations of annotated sparse/special
# yield sparse matrices
for annospcmata in annospcmats, annospcmatb in annospcmats
@test issparse(vcat(annospcmata, annospcmatb))
@test issparse(hcat(annospcmata, annospcmatb))
@test issparse(hvcat((2,), annospcmata, annospcmatb))
@test issparse(cat(annospcmata, annospcmatb; dims=(1,2)))
end
# Test that concatenations of pairwise combinations of annotated sparse/special
# matrices and other matrix/vector types yield sparse matrices
for annospcmat in annospcmats
# --> Tests applicable to pairs including only matrices
for othermat in (densemat, annodmats..., sparseconcatmats...)
@test issparse(vcat(annospcmat, othermat))
@test issparse(vcat(othermat, annospcmat))
end
for (smat, dmat) in zip(annospcmats, annodmats), specialmat in sparseconcatmats
@test sparse_hcat(dmat, specialmat)::SparseMatrixCSC == hcat(smat, specialmat)
@test sparse_hcat(specialmat, dmat)::SparseMatrixCSC == hcat(specialmat, smat)
@test sparse_vcat(dmat, specialmat)::SparseMatrixCSC == vcat(smat, specialmat)
@test sparse_vcat(specialmat, dmat)::SparseMatrixCSC == vcat(specialmat, smat)
@test sparse_hvcat((2,), dmat, specialmat)::SparseMatrixCSC == hvcat((2,), smat, specialmat)
@test sparse_hvcat((2,), specialmat, dmat)::SparseMatrixCSC == hvcat((2,), specialmat, smat)
end
# --> Tests applicable to pairs including other vectors or matrices
for other in (spvec, densevec, densemat, annodmats..., sparseconcatmats...)
@test issparse(hcat(annospcmat, other))
@test issparse(hcat(other, annospcmat))
@test issparse(hvcat((2,), annospcmat, other))
@test issparse(hvcat((2,), other, annospcmat))
@test issparse(cat(annospcmat, other; dims=(1,2)))
@test issparse(cat(other, annospcmat; dims=(1,2)))
end
end
# The preceding tests should cover multi-way combinations of those types, but for good
# measure test a few multi-way combinations involving those types
@test issparse(vcat(spmat, densemat, annospcmats[1], annodmats[2]))
@test issparse(vcat(densemat, spmat, annodmats[1], annospcmats[2]))
@test issparse(hcat(spvec, annodmats[1], annospcmats[1], densevec, diagmat))
@test issparse(hcat(annodmats[2], annospcmats[2], spvec, densevec, diagmat))
@test issparse(hvcat((5,), diagmat, densevec, spvec, annodmats[1], annospcmats[1]))
@test issparse(hvcat((5,), spvec, annodmats[2], diagmat, densevec, annospcmats[2]))
@test issparse(cat(annodmats[1], diagmat, annospcmats[2], densevec, spvec; dims=(1,2)))
@test issparse(cat(spvec, diagmat, densevec, annospcmats[1], annodmats[2]; dims=(1,2)))
end
@testset "hcat and vcat involving UniformScaling" begin
@test_throws ArgumentError hcat(I)
@test_throws ArgumentError [I I]
@test_throws ArgumentError vcat(I)
@test_throws ArgumentError [I; I]
@test_throws ArgumentError [I I; I]
A = SparseMatrixCSC(rand(3,4))
B = SparseMatrixCSC(rand(3,3))
C = SparseMatrixCSC(rand(0,3))
D = SparseMatrixCSC(rand(2,0))
E = SparseMatrixCSC(rand(1,3))
F = SparseMatrixCSC(rand(3,1))
α = rand()
@test (hcat(A, 2I, I(3)))::SparseMatrixCSC == hcat(A, Matrix(2I, 3, 3), Matrix(I, 3, 3))
@test (hcat(E, α))::SparseMatrixCSC == hcat(E, [α])
@test (hcat(E, α, 2I))::SparseMatrixCSC == hcat(E, [α], fill(2, 1, 1))
@test (vcat(A, 2I))::SparseMatrixCSC == (vcat(A, 2I(4)))::SparseMatrixCSC == vcat(A, Matrix(2I, 4, 4))
@test (vcat(F, α))::SparseMatrixCSC == vcat(F, [α])
@test (vcat(F, α, 2I))::SparseMatrixCSC == (vcat(F, α, 2I(1)))::SparseMatrixCSC == vcat(F, [α], fill(2, 1, 1))
@test (hcat(C, 2I))::SparseMatrixCSC == C
@test_throws DimensionMismatch hcat(C, α)
@test (vcat(D, 2I))::SparseMatrixCSC == D
@test_throws DimensionMismatch vcat(D, α)
@test (hcat(I, 3I, A, 2I))::SparseMatrixCSC == hcat(Matrix(I, 3, 3), Matrix(3I, 3, 3), A, Matrix(2I, 3, 3))
@test (vcat(I, 3I, A, 2I))::SparseMatrixCSC == vcat(Matrix(I, 4, 4), Matrix(3I, 4, 4), A, Matrix(2I, 4, 4))
@test (hvcat((2,1,2), B, 2I, I(6), 3I, 4I))::SparseMatrixCSC ==
hvcat((2,1,2), B, Matrix(2I, 3, 3), Matrix(I, 6, 6), Matrix(3I, 3, 3), Matrix(4I, 3, 3))
@test hvcat((3,1), C, C, I, 3I)::SparseMatrixCSC == hvcat((2,1), C, C, Matrix(3I, 6, 6))
@test hvcat((2,2,2), I, 2I, 3I, 4I, C, C)::SparseMatrixCSC ==
hvcat((2,2,2), Matrix(I, 3, 3), Matrix(2I, 3, 3), Matrix(3I, 3, 3), Matrix(4I, 3, 3), C, C)
@test hvcat((2,2,4), C, C, I(3), 2I, 3I, 4I, 5I, D)::SparseMatrixCSC ==
hvcat((2,2,4), C, C, Matrix(I, 3, 3), Matrix(2I, 3, 3),
Matrix(3I, 2, 2), Matrix(4I, 2, 2), Matrix(5I, 2, 2), D)
@test (hvcat((2,3,2), B, 2I(3), C, C, I, 3I, 4I))::SparseMatrixCSC ==
hvcat((2,2,2), B, Matrix(2I, 3, 3), C, C, Matrix(3I, 3, 3), Matrix(4I, 3, 3))
@test hvcat((3,2,1), C, C, I, B, 3I(3), 2I)::SparseMatrixCSC ==
hvcat((2,2,1), C, C, B, Matrix(3I, 3, 3), Matrix(2I, 6, 6))
@test (hvcat((1,2), A, E, α))::SparseMatrixCSC == hvcat((1,2), A, E, [α]) == hvcat((1,2), A, E, α*I)
@test (hvcat((2,2), α, E, F, 3I))::SparseMatrixCSC == hvcat((2,2), [α], E, F, Matrix(3I, 3, 3))
@test (hvcat((2,2), 3I, F, E, α))::SparseMatrixCSC == hvcat((2,2), Matrix(3I, 3, 3), F, E, [α])
end
end
@testset "copyto!" begin
A = sprand(5, 5, 0.2)
B = sprand(5, 5, 0.2)
copyto!(A, B)
@test A == B
@test pointer(nonzeros(A)) != pointer(nonzeros(B))
@test pointer(rowvals(A)) != pointer(rowvals(B))
@test pointer(getcolptr(A)) != pointer(getcolptr(B))
# Test size(A) != size(B), but length(A) == length(B)
B = sprand(25, 1, 0.2)
copyto!(A, B)
@test A[:] == B[:]
# Test various size(A) / size(B) combinations
for mA in [5, 10, 20], nA in [5, 10, 20], mB in [5, 10, 20], nB in [5, 10, 20]
A = sprand(mA,nA,0.4)
Aorig = copy(A)
B = sprand(mB,nB,0.4)
if mA*nA >= mB*nB
copyto!(A,B)
@assert(A[1:length(B)] == B[:])
@assert(A[length(B)+1:end] == Aorig[length(B)+1:end])
else
@test_throws BoundsError copyto!(A,B)
end
end
# Test eltype(A) != eltype(B), size(A) != size(B)
A = sprand(5, 5, 0.2)
Aorig = copy(A)
B = sparse(rand(Float32, 3, 3))
copyto!(A, B)
@test A[1:9] == B[:]
@test A[10:end] == Aorig[10:end]
# Test eltype(A) != eltype(B), size(A) == size(B)
A = sparse(rand(Float64, 3, 3))
B = sparse(rand(Float32, 3, 3))
copyto!(A, B)
@test A == B
# Test copyto!(dense, sparse)
B = sprand(5, 5, 1.0)
A = rand(5,5)
A´ = similar(A)
@test copyto!(A, B) == copyto!(A´, Matrix(B))
# Test copyto!(dense, Rdest, sparse, Rsrc)
A = rand(5,5)
A´ = similar(A)
Rsrc = CartesianIndices((3:4, 2:3))
Rdest = CartesianIndices((2:3, 1:2))
copyto!(A, Rdest, B, Rsrc)
copyto!(A´, Rdest, Matrix(B), Rsrc)
@test A[Rdest] == A´[Rdest] == Matrix(B)[Rsrc]
# Test unaliasing of B´
B´ = copy(B)
copyto!(B´, Rdest, B´, Rsrc)
@test Matrix(B´)[Rdest] == Matrix(B)[Rsrc]
# Test that only elements at overlapping linear indices are overwritten
A = sprand(3, 3, 1.0); B = ones(4, 4)
copyto!(B, A)
@test B[4, :] != B[:, 4] == ones(4)
# Allow no-op copyto! with empty source even for incompatible eltypes
A = sparse(fill("", 0, 0))
@test copyto!(B, A) == B
end
@testset "getindex" begin
ni = 23
nj = 32
a116 = reshape(1:(ni*nj), ni, nj)
s116 = sparse(a116)
ad116 = diagm(0 => diag(a116))
sd116 = sparse(ad116)
for (aa116, ss116) in [(a116, s116), (ad116, sd116)]
ij=11; i=3; j=2
@test ss116[ij] == aa116[ij]
@test ss116[(i,j)] == aa116[i,j]
@test ss116[i,j] == aa116[i,j]
@test ss116[i-1,j] == aa116[i-1,j]
ss116[i,j] = 0
@test ss116[i,j] == 0
ss116 = sparse(aa116)
@test ss116[:,:] == copy(ss116)
@test convert(SparseMatrixCSC{Float32,Int32}, sd116)[2:5,:] == convert(SparseMatrixCSC{Float32,Int32}, sd116[2:5,:])
# range indexing
@test Array(ss116[i,:]) == aa116[i,:]
@test Array(ss116[:,j]) == aa116[:,j]
@test Array(ss116[i,1:2:end]) == aa116[i,1:2:end]
@test Array(ss116[1:2:end,j]) == aa116[1:2:end,j]
@test Array(ss116[i,end:-2:1]) == aa116[i,end:-2:1]
@test Array(ss116[end:-2:1,j]) == aa116[end:-2:1,j]
# float-range indexing is not supported
# sorted vector indexing
@test Array(ss116[i,[3:2:end-3;]]) == aa116[i,[3:2:end-3;]]
@test Array(ss116[[3:2:end-3;],j]) == aa116[[3:2:end-3;],j]
@test Array(ss116[i,[end-3:-2:1;]]) == aa116[i,[end-3:-2:1;]]
@test Array(ss116[[end-3:-2:1;],j]) == aa116[[end-3:-2:1;],j]
# unsorted vector indexing with repetition
p = [4, 1, 2, 3, 2, 6]
@test Array(ss116[p,:]) == aa116[p,:]
@test Array(ss116[:,p]) == aa116[:,p]
@test Array(ss116[p,p]) == aa116[p,p]
# bool indexing
li = bitrand(size(aa116,1))
lj = bitrand(size(aa116,2))
@test Array(ss116[li,j]) == aa116[li,j]
@test Array(ss116[li,:]) == aa116[li,:]
@test Array(ss116[i,lj]) == aa116[i,lj]
@test Array(ss116[:,lj]) == aa116[:,lj]
@test Array(ss116[li,lj]) == aa116[li,lj]
# empty indices
for empty in (1:0, Int[])
@test Array(ss116[empty,:]) == aa116[empty,:]
@test Array(ss116[:,empty]) == aa116[:,empty]
@test Array(ss116[empty,lj]) == aa116[empty,lj]
@test Array(ss116[li,empty]) == aa116[li,empty]
@test Array(ss116[empty,empty]) == aa116[empty,empty]
end
# out of bounds indexing
@test_throws BoundsError ss116[0, 1]
@test_throws BoundsError ss116[end+1, 1]
@test_throws BoundsError ss116[1, 0]
@test_throws BoundsError ss116[1, end+1]
for j in (1, 1:size(s116,2), 1:1, Int[1], trues(size(s116, 2)), 1:0, Int[])
@test_throws BoundsError ss116[0:1, j]
@test_throws BoundsError ss116[[0, 1], j]
@test_throws BoundsError ss116[end:end+1, j]
@test_throws BoundsError ss116[[end, end+1], j]
end
for i in (1, 1:size(s116,1), 1:1, Int[1], trues(size(s116, 1)), 1:0, Int[])
@test_throws BoundsError ss116[i, 0:1]
@test_throws BoundsError ss116[i, [0, 1]]
@test_throws BoundsError ss116[i, end:end+1]
@test_throws BoundsError ss116[i, [end, end+1]]
end
end
# indexing by array of CartesianIndex (issue #30981)
S = sprand(10, 10, 0.4)
inds_sparse = S[findall(S .> 0.2)]
M = Matrix(S)
inds_dense = M[findall(M .> 0.2)]
@test Array(inds_sparse) == inds_dense
inds_out = Array([CartesianIndex(1, 1), CartesianIndex(0, 1)])
@test_throws BoundsError S[inds_out]
pop!(inds_out); push!(inds_out, CartesianIndex(1, 0))
@test_throws BoundsError S[inds_out]
pop!(inds_out); push!(inds_out, CartesianIndex(11, 1))
@test_throws BoundsError S[inds_out]
pop!(inds_out); push!(inds_out, CartesianIndex(1, 11))
@test_throws BoundsError S[inds_out]
# workaround issue #7197: comment out let-block
#let S = SparseMatrixCSC(3, 3, UInt8[1,1,1,1], UInt8[], Int64[])
S1290 = SparseMatrixCSC(3, 3, UInt8[1,1,1,1], UInt8[], Int64[])
S1290[1,1] = 1
S1290[5] = 2
S1290[end] = 3
@test S1290[end] == (S1290[1] + S1290[2,2])
@test 6 == sum(diag(S1290))
@test Array(S1290)[[3,1],1] == Array(S1290[[3,1],1])
# check that indexing with an abstract array returns matrix
# with same colptr and rowval eltypes as input. Tests PR 24548
r1 = S1290[[5,9]]
r2 = S1290[[1 2;5 9]]
@test isa(r1, SparseVector{Int64,UInt8})
@test isa(r2, SparseMatrixCSC{Int64,UInt8})
# end
end
@testset "setindex" begin
a = spzeros(Int, 10, 10)
@test count(!iszero, a) == 0
a[1,:] .= 1
@test count(!iszero, a) == 10
@test a[1,:] == sparse(fill(1,10))
a[:,2] .= 2
@test count(!iszero, a) == 19
@test a[:,2] == sparse(fill(2,10))
b = copy(a)
# Zero-assignment behavior of setindex!(A, v, i, j)
a[1,3] = 0
@test nnz(a) == 19
@test count(!iszero, a) == 18
a[2,1] = 0
@test nnz(a) == 19
@test count(!iszero, a) == 18
# Zero-assignment behavior of setindex!(A, v, I, J)
a[1,:] .= 0
@test nnz(a) == 19
@test count(!iszero, a) == 9
a[2,:] .= 0
@test nnz(a) == 19
@test count(!iszero, a) == 8
a[:,1] .= 0
@test nnz(a) == 19
@test count(!iszero, a) == 8
a[:,2] .= 0
@test nnz(a) == 19
@test count(!iszero, a) == 0
a = copy(b)
a[:,:] .= 0
@test nnz(a) == 19
@test count(!iszero, a) == 0
# Zero-assignment behavior of setindex!(A, B::SparseMatrixCSC, I, J)
a = copy(b)
a[1:2,:] = spzeros(2, 10)
@test nnz(a) == 19
@test count(!iszero, a) == 8
a[1:2,1:3] = sparse([1 0 1; 0 0 1])
@test nnz(a) == 20
@test count(!iszero, a) == 11
a = copy(b)
a[1:2,:] = let c = sparse(fill(1,2,10)); fill!(nonzeros(c), 0); c; end
@test nnz(a) == 19
@test count(!iszero, a) == 8
a[1:2,1:3] = let c = sparse(fill(1,2,3)); c[1,2] = c[2,1] = c[2,2] = 0; c; end
@test nnz(a) == 20
@test count(!iszero, a) == 11
a[1,:] = 1:10
@test a[1,:] == sparse([1:10;])
a[:,2] = 1:10
@test a[:,2] == sparse([1:10;])
a[1,1:0] = []
@test a[1,:] == sparse([1; 1; 3:10])
a[1:0,2] = []
@test a[:,2] == sparse([1:10;])
a[1,1:0] .= 0
@test a[1,:] == sparse([1; 1; 3:10])
a[1:0,2] .= 0
@test a[:,2] == sparse([1:10;])
a[1,1:0] .= 1
@test a[1,:] == sparse([1; 1; 3:10])
a[1:0,2] .= 1
@test a[:,2] == sparse([1:10;])
a[3,2:3] .= 1 # one stored, one new value
@test a[3,2:3] == sparse([1; 1])
a[5:6,1] .= 1 # only new values
@test a[:,1] == sparse([1; 0; 0; 0; 1; 1; 0; 0; 0; 0;])
a[2:4,2:3] .= 3 # two ranges
@test nnz(a) == 24
@test_throws BoundsError a[:,11] = spzeros(10,1)
@test_throws BoundsError a[11,:] = spzeros(1,10)
@test_throws BoundsError a[:,-1] = spzeros(10,1)
@test_throws BoundsError a[-1,:] = spzeros(1,10)
@test_throws BoundsError a[0:9] = spzeros(1,10)
@test_throws BoundsError (a[:,11] .= 0; a)
@test_throws BoundsError (a[11,:] .= 0; a)
@test_throws BoundsError (a[:,-1] .= 0; a)
@test_throws BoundsError (a[-1,:] .= 0; a)
@test_throws BoundsError (a[0:9] .= 0; a)
@test_throws BoundsError (a[:,11] .= 1; a)
@test_throws BoundsError (a[11,:] .= 1; a)
@test_throws BoundsError (a[:,-1] .= 1; a)
@test_throws BoundsError (a[-1,:] .= 1; a)
@test_throws BoundsError (a[0:9] .= 1; a)
@test_throws DimensionMismatch a[1:2,1:2] = 1:3
@test_throws DimensionMismatch a[1:2,1] = 1:3
@test_throws DimensionMismatch a[1,1:2] = 1:3
@test_throws DimensionMismatch a[1:2] = 1:3
A = spzeros(Int, 10, 20)
A[1:5,1:10] .= 10
A[1:5,1:10] .= 10
@test count(!iszero, A) == 50
@test A[1:5,1:10] == fill(10, 5, 10)
A[6:10,11:20] .= 0
@test count(!iszero, A) == 50
A[6:10,11:20] .= 20
@test count(!iszero, A) == 100
@test A[6:10,11:20] == fill(20, 5, 10)
A[4:8,8:16] .= 15
@test count(!iszero, A) == 121
@test A[4:8,8:16] == fill(15, 5, 9)
ASZ = 1000
TSZ = 800
A = sprand(ASZ, 2*ASZ, 0.0001)
B = copy(A)
nA = count(!iszero, A)
x = A[1:TSZ, 1:(2*TSZ)]
nx = count(!iszero, x)
A[1:TSZ, 1:(2*TSZ)] .= 0
nB = count(!iszero, A)
@test nB == (nA - nx)
A[1:TSZ, 1:(2*TSZ)] = x
@test count(!iszero, A) == nA
@test A == B
A[1:TSZ, 1:(2*TSZ)] .= 10
@test count(!iszero, A) == nB + 2*TSZ*TSZ
A[1:TSZ, 1:(2*TSZ)] = x
@test count(!iszero, A) == nA
@test A == B
A = sparse(1I, 5, 5)
lininds = 1:10
X=reshape([trues(10); falses(15)],5,5)
@test A[lininds] == A[X] == [1,0,0,0,0,0,1,0,0,0]
A[lininds] = [1:10;]
@test A[lininds] == A[X] == 1:10
A[lininds] = zeros(Int, 10)
@test nnz(A) == 13
@test count(!iszero, A) == 3
@test A[lininds] == A[X] == zeros(Int, 10)
c = Vector(11:20); c[1] = c[3] = 0
A[lininds] = c
@test nnz(A) == 13
@test count(!iszero, A) == 11
@test A[lininds] == A[X] == c
A = sparse(1I, 5, 5)
A[lininds] = c
@test nnz(A) == 12
@test count(!iszero, A) == 11
@test A[lininds] == A[X] == c
let # prevent assignment to I from overwriting UniformSampling in enclosing scope
S = sprand(50, 30, 0.5, x -> round.(Int, rand(x) * 100))
I = sprand(Bool, 50, 30, 0.2)
FS = Array(S)
FI = Array(I)
@test sparse(FS[FI]) == S[I] == S[FI]
@test sum(S[FI]) + sum(S[.!FI]) == sum(S)
@test count(!iszero, I) == count(I)
sumS1 = sum(S)
sumFI = sum(S[FI])
nnzS1 = nnz(S)
S[FI] .= 0
sumS2 = sum(S)
cnzS2 = count(!iszero, S)
@test sum(S[FI]) == 0
@test nnz(S) == nnzS1
@test (sum(S) + sumFI) == sumS1
S[FI] .= 10
nnzS3 = nnz(S)
@test sum(S) == sumS2 + 10*sum(FI)
S[FI] .= 0
@test sum(S) == sumS2
@test nnz(S) == nnzS3
@test count(!iszero, S) == cnzS2
S[FI] .= [1:sum(FI);]
@test sum(S) == sumS2 + sum(1:sum(FI))
S = sprand(50, 30, 0.5, x -> round.(Int, rand(x) * 100))
N = length(S) >> 2
I = randperm(N) .* 4
J = randperm(N)
sumS1 = sum(S)
sumS2 = sum(S[I])
S[I] .= 0
@test sum(S) == (sumS1 - sumS2)
S[I] .= J
@test sum(S) == (sumS1 - sumS2 + sum(J))
end
# setindex with a Matrix{Bool}
Is = fill(false, 10, 10)
Is[1, 1] = true
Is[10, 10] = true
A = sprand(10, 10, 0.2)
A[Is] = [0.1, 0.5]
@test A[1, 1] == 0.1
@test A[10, 10] == 0.5
A = spzeros(10, 10)
A[Is] = [0.1, 0.5]
@test nnz(A) == 2
end
@testset "dropstored!" begin
A = spzeros(Int, 10, 10)
# Introduce nonzeros in row and column two
A[1,:] .= 1
A[:,2] .= 2
@test nnz(A) == 19
# Test argument bounds checking for dropstored!(A, i, j)
@test_throws BoundsError SparseArrays.dropstored!(A, 0, 1)
@test_throws BoundsError SparseArrays.dropstored!(A, 1, 0)
@test_throws BoundsError SparseArrays.dropstored!(A, 1, 11)
@test_throws BoundsError SparseArrays.dropstored!(A, 11, 1)
# Test argument bounds checking for dropstored!(A, I, J)
@test_throws BoundsError SparseArrays.dropstored!(A, 0:1, 1:1)
@test_throws BoundsError SparseArrays.dropstored!(A, 1:1, 0:1)
@test_throws BoundsError SparseArrays.dropstored!(A, 10:11, 1:1)
@test_throws BoundsError SparseArrays.dropstored!(A, 1:1, 10:11)
# Test behavior of dropstored!(A, i, j)
# --> Test dropping a single stored entry
SparseArrays.dropstored!(A, 1, 2)
@test nnz(A) == 18
# --> Test dropping a single nonstored entry
SparseArrays.dropstored!(A, 2, 1)
@test nnz(A) == 18
# Test behavior of dropstored!(A, I, J) and derivs.
# --> Test dropping a single row including stored and nonstored entries
SparseArrays.dropstored!(A, 1, :)
@test nnz(A) == 9
# --> Test dropping a single column including stored and nonstored entries
SparseArrays.dropstored!(A, :, 2)
@test nnz(A) == 0
# --> Introduce nonzeros in rows one and two and columns two and three
A[1:2,:] .= 1
A[:,2:3] .= 2
@test nnz(A) == 36
# --> Test dropping multiple rows containing stored and nonstored entries
SparseArrays.dropstored!(A, 1:3, :)
@test nnz(A) == 14
# --> Test dropping multiple columns containing stored and nonstored entries
SparseArrays.dropstored!(A, :, 2:4)
@test nnz(A) == 0
# --> Introduce nonzeros in every other row
A[1:2:9, :] .= 1
@test nnz(A) == 50
# --> Test dropping a block of the matrix towards the upper left
SparseArrays.dropstored!(A, 2:5, 2:5)
@test nnz(A) == 42
# --> Test dropping all elements
SparseArrays.dropstored!(A, :)
@test nnz(A) == 0
A[1:2:9, :] .= 1
@test nnz(A) == 50
SparseArrays.dropstored!(A, :, :)
@test nnz(A) == 0
end
@testset "sparsevec from matrices" begin
X = Matrix(1.0I, 5, 5)
M = rand(5,4)
C = spzeros(3,3)
SX = sparse(X); SM = sparse(M)
VX = vec(X); VSX = vec(SX)
VM = vec(M); VSM1 = vec(SM); VSM2 = sparsevec(M)
VC = vec(C)
@test VX == VSX
@test VM == VSM1
@test VM == VSM2
@test size(VC) == (9,)
@test nnz(VC) == 0
@test nnz(VSX) == 5
end
function test_getindex_algs(A::SparseMatrixCSC{Tv,Ti}, I::AbstractVector, J::AbstractVector, alg::Int) where {Tv,Ti}
# Sorted vectors for indexing rows.
# Similar to getindex_general but without the transpose trick.
(m, n) = size(A)
!isempty(I) && ((I[1] < 1) || (I[end] > m)) && BoundsError()
if !isempty(J)
minj, maxj = extrema(J)
((minj < 1) || (maxj > n)) && BoundsError()
end
(alg == 0) ? SparseArrays.getindex_I_sorted_bsearch_A(A, I, J) :
(alg == 1) ? SparseArrays.getindex_I_sorted_bsearch_I(A, I, J) :
SparseArrays.getindex_I_sorted_linear(A, I, J)
end
@testset "test_getindex_algs" begin
M=2^14
N=2^4
Irand = randperm(M)
Jrand = randperm(N)
SA = [sprand(M, N, d) for d in [1., 0.1, 0.01, 0.001, 0.0001, 0.]]
IA = [sort(Irand[1:round(Int,n)]) for n in [M, M*0.1, M*0.01, M*0.001, M*0.0001, 0.]]
debug = false
if debug
println("row sizes: $([round(Int,nnz(S)/size(S, 2)) for S in SA])")
println("I sizes: $([length(I) for I in IA])")
@printf(" S | I | binary S | binary I | linear | best\n")
end
J = Jrand
for I in IA
for S in SA
res = Any[1,2,3]
times = Float64[0,0,0]
best = [typemax(Float64), 0]
for searchtype in [0, 1, 2]
GC.gc()
tres = @timed test_getindex_algs(S, I, J, searchtype)
res[searchtype+1] = tres[1]
times[searchtype+1] = tres[2]
if best[1] > tres[2]
best[1] = tres[2]
best[2] = searchtype
end
end
if debug
@printf(" %7d | %7d | %4.2e | %4.2e | %4.2e | %s\n", round(Int,nnz(S)/size(S, 2)), length(I), times[1], times[2], times[3],
(0 == best[2]) ? "binary S" : (1 == best[2]) ? "binary I" : "linear")
end
if res[1] != res[2]
println("1 and 2")
elseif res[2] != res[3]
println("2, 3")
end
@test res[1] == res[2] == res[3]
end
end
M = 2^8
N=2^3
Irand = randperm(M)
Jrand = randperm(N)
II = sort([Irand; Irand; Irand])
J = [Jrand; Jrand]
SA = [sprand(M, N, d) for d in [1., 0.1, 0.01, 0.001, 0.0001, 0.]]
for S in SA
res = Any[1,2,3]
for searchtype in [0, 1, 2]
res[searchtype+1] = test_getindex_algs(S, II, J, searchtype)
end
@test res[1] == res[2] == res[3]
end
M = 2^14
N=2^4
II = randperm(M)
J = randperm(N)
Jsorted = sort(J)
SA = [sprand(M, N, d) for d in [1., 0.1, 0.01, 0.001, 0.0001, 0.]]
IA = [II[1:round(Int,n)] for n in [M, M*0.1, M*0.01, M*0.001, M*0.0001, 0.]]
debug = false
if debug
@printf(" | | | times | memory |\n")
@printf(" S | I | J | sorted | unsorted | sorted | unsorted |\n")
end
for I in IA
Isorted = sort(I)
for S in SA
GC.gc()
ru = @timed S[I, J]
GC.gc()
rs = @timed S[Isorted, Jsorted]
if debug
@printf(" %7d | %7d | %7d | %4.2e | %4.2e | %4.2e | %4.2e |\n", round(Int,nnz(S)/size(S, 2)), length(I), length(J), rs[2], ru[2], rs[3], ru[3])
end
end
end
end
@testset "getindex bounds checking" begin
S = sprand(10, 10, 0.1)
@test_throws BoundsError S[[0,1,2], [1,2]]
@test_throws BoundsError S[[1,2], [0,1,2]]
@test_throws BoundsError S[[0,2,1], [1,2]]
@test_throws BoundsError S[[2,1], [0,1,2]]
end
@testset "test that sparse / sparsevec constructors work for AbstractMatrix subtypes" begin
D = Diagonal(fill(1,10))
sm = sparse(D)
sv = sparsevec(D)
@test count(!iszero, sm) == 10
@test count(!iszero, sv) == 10
@test count(!iszero, sparse(Diagonal(Int[]))) == 0
@test count(!iszero, sparsevec(Diagonal(Int[]))) == 0
end
@testset "Sparse construction with empty/1x1 structured matrices" begin
empty = spzeros(0, 0)
@test sparse(Diagonal(zeros(0, 0))) == empty
@test sparse(Bidiagonal(zeros(0, 0), :U)) == empty
@test sparse(Bidiagonal(zeros(0, 0), :L)) == empty
@test sparse(SymTridiagonal(zeros(0, 0))) == empty
@test sparse(Tridiagonal(zeros(0, 0))) == empty
one_by_one = rand(1,1)
sp_one_by_one = sparse(one_by_one)
@test sparse(Diagonal(one_by_one)) == sp_one_by_one
@test sparse(Bidiagonal(one_by_one, :U)) == sp_one_by_one
@test sparse(Bidiagonal(one_by_one, :L)) == sp_one_by_one
@test sparse(Tridiagonal(one_by_one)) == sp_one_by_one
s = SymTridiagonal(rand(1), rand(0))
@test sparse(s) == s
end
@testset "avoid allocation for zeros in diagonal" begin
x = [1, 0, 0, 5, 0]
d = Diagonal(x)
s = sparse(d)
@test s == d
@test nnz(s) == 2
end
@testset "error conditions for reshape, and dropdims" begin
local A = sprand(Bool, 5, 5, 0.2)
@test_throws DimensionMismatch reshape(A,(20, 2))
@test_throws ArgumentError dropdims(A,dims=(1, 1))
end
@testset "float" begin
local A
A = sprand(Bool, 5, 5, 0.0)
@test eltype(float(A)) == Float64 # issue #11658
A = sprand(Bool, 5, 5, 0.2)
@test float(A) == float(Array(A))
end
@testset "complex" begin
A = sprand(Bool, 5, 5, 0.0)
@test eltype(complex(A)) == Complex{Bool}
A = sprand(Bool, 5, 5, 0.2)
@test complex(A) == complex(Array(A))
end
@testset "one(A::SparseMatrixCSC)" begin
@test_throws DimensionMismatch one(sparse([1 1 1; 1 1 1]))
@test one(sparse([1 1; 1 1]))::SparseMatrixCSC == [1 0; 0 1]
end
@testset "sparsevec" begin
local A = sparse(fill(1, 5, 5))
@test sparsevec(A) == fill(1, 25)
@test sparsevec([1:5;], 1) == fill(1, 5)
@test_throws ArgumentError sparsevec([1:5;], [1:4;])
end
@testset "sparse" begin
local A = sparse(fill(1, 5, 5))
@test sparse(A) == A
@test sparse([1:5;], [1:5;], 1) == sparse(1.0I, 5, 5)
end
@testset "droptol" begin
A = guardseed(1234321) do
triu(sprand(10, 10, 0.2))
end
@test getcolptr(SparseArrays.droptol!(A, 0.01)) == [1, 1, 1, 1, 2, 2, 2, 4, 4, 5, 5]
@test isequal(SparseArrays.droptol!(sparse([1], [1], [1]), 1), SparseMatrixCSC(1, 1, Int[1, 1], Int[], Int[]))
end
@testset "dropzeros[!]" begin
smalldim = 5
largedim = 10
nzprob = 0.4
targetnumposzeros = 5
targetnumnegzeros = 5
for (m, n) in ((largedim, largedim), (smalldim, largedim), (largedim, smalldim))
local A = sprand(m, n, nzprob)
struczerosA = findall(x -> x == 0, A)
poszerosinds = unique(rand(struczerosA, targetnumposzeros))
negzerosinds = unique(rand(struczerosA, targetnumnegzeros))
Aposzeros = copy(A)
Aposzeros[poszerosinds] .= 2
Anegzeros = copy(A)
Anegzeros[negzerosinds] .= -2
Abothsigns = copy(Aposzeros)
Abothsigns[negzerosinds] .= -2
map!(x -> x == 2 ? 0.0 : x, nonzeros(Aposzeros), nonzeros(Aposzeros))
map!(x -> x == -2 ? -0.0 : x, nonzeros(Anegzeros), nonzeros(Anegzeros))
map!(x -> x == 2 ? 0.0 : x == -2 ? -0.0 : x, nonzeros(Abothsigns), nonzeros(Abothsigns))
for Awithzeros in (Aposzeros, Anegzeros, Abothsigns)
# Basic functionality / dropzeros!
@test dropzeros!(copy(Awithzeros)) == A
# Basic functionality / dropzeros
@test dropzeros(Awithzeros) == A
# Check trimming works as expected
@test length(nonzeros(dropzeros!(copy(Awithzeros)))) == length(nonzeros(A))
@test length(rowvals(dropzeros!(copy(Awithzeros)))) == length(rowvals(A))
end
end
# original lone dropzeros test
local A = sparse([1 2 3; 4 5 6; 7 8 9])
nonzeros(A)[2] = nonzeros(A)[6] = nonzeros(A)[7] = 0
@test getcolptr(dropzeros!(A)) == [1, 3, 5, 7]
# test for issue #5169, modified for new behavior following #15242/#14798
@test nnz(sparse([1, 1], [1, 2], [0.0, -0.0])) == 2
@test nnz(dropzeros!(sparse([1, 1], [1, 2], [0.0, -0.0]))) == 0
# test for issue #5437, modified for new behavior following #15242/#14798
@test nnz(sparse([1, 2, 3], [1, 2, 3], [0.0, 1.0, 2.0])) == 3
@test nnz(dropzeros!(sparse([1, 2, 3],[1, 2, 3],[0.0, 1.0, 2.0]))) == 2
end
@testset "test created type of sprand{T}(::Type{T}, m::Integer, n::Integer, density::AbstractFloat)" begin
m = sprand(Float32, 10, 10, 0.1)
@test eltype(m) == Float32
m = sprand(Float64, 10, 10, 0.1)
@test eltype(m) == Float64
m = sprand(Int32, 10, 10, 0.1)
@test eltype(m) == Int32
end
# Test that concatenations of combinations of sparse matrices with sparse matrices or dense
# matrices/vectors yield sparse arrays
@testset "sparse and dense concatenations" begin
N = 4
densevec = fill(1., N)
densemat = diagm(0 => densevec)
spmat = spdiagm(0 => densevec)
# Test that concatenations of pairs of sparse matrices yield sparse arrays
@test issparse(vcat(spmat, spmat))
@test issparse(hcat(spmat, spmat))
@test issparse(@inferred(hvcat((2,), spmat, spmat)))
@test issparse(cat(spmat, spmat; dims=(1,2)))
# Test that concatenations of a sparse matrice with a dense matrix/vector yield sparse arrays
@test issparse(vcat(spmat, densemat))
@test issparse(vcat(densemat, spmat))
for densearg in (densevec, densemat)
@test issparse(hcat(spmat, densearg))
@test issparse(hcat(densearg, spmat))
@test issparse(hvcat((2,), spmat, densearg))
@test issparse(hvcat((2,), densearg, spmat))
@test issparse(cat(spmat, densearg; dims=(1,2)))
@test issparse(cat(densearg, spmat; dims=(1,2)))