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# This file is a part of Julia. License is MIT: https://julialang.org/license
module SparseTests
using Test
using SparseArrays
using LinearAlgebra
using Base.Printf: @printf
using Random
using Test: guardseed
using InteractiveUtils: @which
@testset "issparse" begin
@test issparse(sparse(fill(1,5,5)))
@test !issparse(fill(1,5,5))
end
@testset "iszero specialization for SparseMatrixCSC" begin
@test !iszero(sparse(I, 3, 3)) # test failure
@test iszero(spzeros(3, 3)) # test success with no stored entries
S = sparse(I, 3, 3)
S[:] .= 0
@test iszero(S) # test success with stored zeros via broadcasting
S = sparse(I, 3, 3)
fill!(S, 0)
@test iszero(S) # test success with stored zeros via fill!
@test iszero(SparseMatrixCSC(2, 2, [1,2,3], [1,2], [0,0,1])) # test success with nonzeros beyond data range
end
@testset "isone specialization for SparseMatrixCSC" begin
@test isone(sparse(I, 3, 3)) # test success
@test !isone(sparse(I, 3, 4)) # test failure for non-square matrix
@test !isone(spzeros(3, 3)) # test failure for too few stored entries
@test !isone(sparse(2I, 3, 3)) # test failure for non-one diagonal entries
@test !isone(sparse(Bidiagonal(fill(1, 3), fill(1, 2), :U))) # test failure for non-zero off-diag entries
end
@testset "indtype" begin
@test SparseArrays.indtype(sparse(Int8[1,1],Int8[1,1],[1,1])) == Int8
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 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)
end
@testset "SparseMatrixCSC construction from UniformScaling" begin
@test_throws ArgumentError SparseMatrixCSC(I, -1, 3)
@test_throws ArgumentError SparseMatrixCSC(I, 3, -1)
@test SparseMatrixCSC(2I, 3, 3)::SparseMatrixCSC{Int,Int} == Matrix(2I, 3, 3)
@test SparseMatrixCSC(2I, 3, 4)::SparseMatrixCSC{Int,Int} == Matrix(2I, 3, 4)
@test SparseMatrixCSC(2I, 4, 3)::SparseMatrixCSC{Int,Int} == Matrix(2I, 4, 3)
@test SparseMatrixCSC(2.0I, 3, 3)::SparseMatrixCSC{Float64,Int} == Matrix(2I, 3, 3)
@test SparseMatrixCSC{Real}(2I, 3, 3)::SparseMatrixCSC{Real,Int} == Matrix(2I, 3, 3)
@test SparseMatrixCSC{Float64}(2I, 3, 3)::SparseMatrixCSC{Float64,Int} == Matrix(2I, 3, 3)
@test SparseMatrixCSC{Float64,Int32}(2I, 3, 3)::SparseMatrixCSC{Float64,Int32} == Matrix(2I, 3, 3)
@test SparseMatrixCSC{Float64,Int32}(0I, 3, 3)::SparseMatrixCSC{Float64,Int32} == Matrix(0I, 3, 3)
end
@testset "sparse(S::UniformScaling, shape...) convenience constructors" begin
# we exercise these methods only lightly as these methods call the SparseMatrixCSC
# constructor methods well-exercised by the immediately preceding testset
@test sparse(2I, 3, 4)::SparseMatrixCSC{Int,Int} == Matrix(2I, 3, 4)
@test sparse(2I, (3, 4))::SparseMatrixCSC{Int,Int} == Matrix(2I, 3, 4)
end
se33 = SparseMatrixCSC{Float64}(I, 3, 3)
do33 = fill(1.,3)
@testset "sparse binary operations" begin
@test isequal(se33 * se33, se33)
@test Array(se33 + convert(SparseMatrixCSC{Float32,Int32}, se33)) == Matrix(2I, 3, 3)
@test Array(se33 * convert(SparseMatrixCSC{Float32,Int32}, se33)) == Matrix(I, 3, 3)
@testset "shape checks for sparse elementwise binary operations equivalent to map" begin
sqrfloatmat, colfloatmat = sprand(4, 4, 0.5), sprand(4, 1, 0.5)
@test_throws DimensionMismatch (+)(sqrfloatmat, colfloatmat)
@test_throws DimensionMismatch (-)(sqrfloatmat, colfloatmat)
@test_throws DimensionMismatch map(min, sqrfloatmat, colfloatmat)
@test_throws DimensionMismatch map(max, sqrfloatmat, colfloatmat)
sqrboolmat, colboolmat = sprand(Bool, 4, 4, 0.5), sprand(Bool, 4, 1, 0.5)
@test_throws DimensionMismatch map(&, sqrboolmat, colboolmat)
@test_throws DimensionMismatch map(|, sqrboolmat, colboolmat)
@test_throws DimensionMismatch map(xor, sqrboolmat, colboolmat)
end
end
@testset "concatenation tests" begin
sp33 = sparse(1.0I, 3, 3)
@testset "horizontal concatenation" begin
@test [se33 se33] == [Array(se33) Array(se33)]
@test length(([sp33 0I]).nzval) == 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(([sp33; 0I]).nzval) == 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 all([se44 sz42 sz41; sz34 se33] == se77)
@test length(([sp33 0I; 1I 0I]).nzval) == 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 "concatenation promotion" begin
sz41_f32 = spzeros(Float32, 4, 1)
se33_i32 = sparse(Int32(1)I, 3, 3)
@test all([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 all([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 all([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
end
let
a116 = copy(reshape(1:16, 4, 4))
s116 = sparse(a116)
@testset "sparse ref" begin
p = [4, 1, 2, 3, 2]
@test Array(s116[p,:]) == a116[p,:]
@test Array(s116[:,p]) == a116[:,p]
@test Array(s116[p,p]) == a116[p,p]
end
@testset "sparse assignment" begin
p = [4, 1, 3]
a116[p, p] .= -1
s116[p, p] .= -1
@test a116 == s116
p = [2, 1, 4]
a116[p, p] = reshape(1:9, 3, 3)
s116[p, p] = reshape(1:9, 3, 3)
@test a116 == s116
end
end
@testset "dropdims" begin
for i = 1:5
am = sprand(20, 1, 0.2)
av = dropdims(am, dims=2)
@test ndims(av) == 1
@test all(av.==am)
am = sprand(1, 20, 0.2)
av = dropdims(am, dims=1)
@test ndims(av) == 1
@test all(av' .== am)
end
end
@testset "matrix-vector multiplication (non-square)" begin
for i = 1:5
a = sprand(10, 5, 0.5)
b = rand(5)
@test maximum(abs.(a*b - Array(a)*b)) < 100*eps()
end
end
@testset "sparse matrix * BitArray" begin
A = sprand(5,5,0.2)
B = trues(5)
@test A*B ≈ Array(A)*B
B = trues(5,5)
@test A*B ≈ Array(A)*B
@test B*A ≈ B*Array(A)
end
@testset "complex matrix-vector multiplication and left-division" begin
if Base.USE_GPL_LIBS
for i = 1:5
a = I + 0.1*sprandn(5, 5, 0.2)
b = randn(5,3) + im*randn(5,3)
c = randn(5) + im*randn(5)
d = randn(5) + im*randn(5)
α = rand(ComplexF64)
β = rand(ComplexF64)
@test (maximum(abs.(a*b - Array(a)*b)) < 100*eps())
@test (maximum(abs.(mul!(similar(b), a, b) - Array(a)*b)) < 100*eps()) # for compatibility with present matmul API. Should go away eventually.
@test (maximum(abs.(mul!(similar(c), a, c) - Array(a)*c)) < 100*eps()) # for compatibility with present matmul API. Should go away eventually.
@test (maximum(abs.(mul!(similar(b), transpose(a), b) - transpose(Array(a))*b)) < 100*eps()) # for compatibility with present matmul API. Should go away eventually.
@test (maximum(abs.(mul!(similar(c), transpose(a), c) - transpose(Array(a))*c)) < 100*eps()) # for compatibility with present matmul API. Should go away eventually.
@test (maximum(abs.(a'b - Array(a)'b)) < 100*eps())
@test (maximum(abs.(transpose(a)*b - transpose(Array(a))*b)) < 100*eps())
@test (maximum(abs.(a\b - Array(a)\b)) < 1000*eps())
@test (maximum(abs.(a'\b - Array(a')\b)) < 1000*eps())
@test (maximum(abs.(transpose(a)\b - Array(transpose(a))\b)) < 1000*eps())
@test (maximum(abs.((a'*c + d) - (Array(a)'*c + d))) < 1000*eps())
@test (maximum(abs.((α*transpose(a)*c + β*d) - (α*transpose(Array(a))*c + β*d))) < 1000*eps())
@test (maximum(abs.((transpose(a)*c + d) - (transpose(Array(a))*c + d))) < 1000*eps())
c = randn(6) + im*randn(6)
@test_throws DimensionMismatch α*transpose(a)*c + β*c
@test_throws DimensionMismatch α*transpose(a)*fill(1.,5) + β*c
a = I + 0.1*sprandn(5, 5, 0.2) + 0.1*im*sprandn(5, 5, 0.2)
b = randn(5,3)
@test (maximum(abs.(a*b - Array(a)*b)) < 100*eps())
@test (maximum(abs.(a'b - Array(a)'b)) < 100*eps())
@test (maximum(abs.(transpose(a)*b - transpose(Array(a))*b)) < 100*eps())
@test (maximum(abs.(a\b - Array(a)\b)) < 1000*eps())
@test (maximum(abs.(a'\b - Array(a')\b)) < 1000*eps())
@test (maximum(abs.(transpose(a)\b - Array(transpose(a))\b)) < 1000*eps())
a = I + tril(0.1*sprandn(5, 5, 0.2))
b = randn(5,3) + im*randn(5,3)
@test (maximum(abs.(a*b - Array(a)*b)) < 100*eps())
@test (maximum(abs.(a'b - Array(a)'b)) < 100*eps())
@test (maximum(abs.(transpose(a)*b - transpose(Array(a))*b)) < 100*eps())
@test (maximum(abs.(a\b - Array(a)\b)) < 1000*eps())
@test (maximum(abs.(a'\b - Array(a')\b)) < 1000*eps())
@test (maximum(abs.(transpose(a)\b - Array(transpose(a))\b)) < 1000*eps())
a = I + tril(0.1*sprandn(5, 5, 0.2) + 0.1*im*sprandn(5, 5, 0.2))
b = randn(5,3)
@test (maximum(abs.(a*b - Array(a)*b)) < 100*eps())
@test (maximum(abs.(a'b - Array(a)'b)) < 100*eps())
@test (maximum(abs.(transpose(a)*b - transpose(Array(a))*b)) < 100*eps())
@test (maximum(abs.(a\b - Array(a)\b)) < 1000*eps())
@test (maximum(abs.(a'\b - Array(a')\b)) < 1000*eps())
@test (maximum(abs.(transpose(a)\b - Array(transpose(a))\b)) < 1000*eps())
a = I + triu(0.1*sprandn(5, 5, 0.2))
b = randn(5,3) + im*randn(5,3)
@test (maximum(abs.(a*b - Array(a)*b)) < 100*eps())
@test (maximum(abs.(a'b - Array(a)'b)) < 100*eps())
@test (maximum(abs.(transpose(a)*b - transpose(Array(a))*b)) < 100*eps())
@test (maximum(abs.(a\b - Array(a)\b)) < 1000*eps())
@test (maximum(abs.(a'\b - Array(a')\b)) < 1000*eps())
@test (maximum(abs.(transpose(a)\b - Array(transpose(a))\b)) < 1000*eps())
a = I + triu(0.1*sprandn(5, 5, 0.2) + 0.1*im*sprandn(5, 5, 0.2))
b = randn(5,3)
@test (maximum(abs.(a*b - Array(a)*b)) < 100*eps())
@test (maximum(abs.(a'b - Array(a)'b)) < 100*eps())
@test (maximum(abs.(transpose(a)*b - transpose(Array(a))*b)) < 100*eps())
@test (maximum(abs.(a\b - Array(a)\b)) < 1000*eps())
@test (maximum(abs.(a'\b - Array(a')\b)) < 1000*eps())
@test (maximum(abs.(transpose(a)\b - Array(transpose(a))\b)) < 1000*eps())
a = I + triu(0.1*sprandn(5, 5, 0.2))
b = randn(5,3) + im*randn(5,3)
@test (maximum(abs.(a*b - Array(a)*b)) < 100*eps())
@test (maximum(abs.(a'b - Array(a)'b)) < 100*eps())
@test (maximum(abs.(transpose(a)*b - transpose(Array(a))*b)) < 100*eps())
@test (maximum(abs.(a\b - Array(a)\b)) < 1000*eps())
@test (maximum(abs.(a'\b - Array(a')\b)) < 1000*eps())
@test (maximum(abs.(transpose(a)\b - Array(transpose(a))\b)) < 1000*eps())
# UpperTriangular/LowerTriangular solve
a = UpperTriangular(I + triu(0.1*sprandn(5, 5, 0.2)))
b = sprandn(5, 5, 0.2)
@test (maximum(abs.(a\b - Array(a)\Array(b))) < 1000*eps())
# test error throwing for bwdTrisolve
@test_throws DimensionMismatch a\Matrix{Float64}(I, 6, 6)
a = LowerTriangular(I + tril(0.1*sprandn(5, 5, 0.2)))
b = sprandn(5, 5, 0.2)
@test (maximum(abs.(a\b - Array(a)\Array(b))) < 1000*eps())
# test error throwing for fwdTrisolve
@test_throws DimensionMismatch a\Matrix{Float64}(I, 6, 6)
a = sparse(Diagonal(randn(5) + im*randn(5)))
b = randn(5,3)
@test (maximum(abs.(a*b - Array(a)*b)) < 100*eps())
@test (maximum(abs.(a'b - Array(a)'b)) < 100*eps())
@test (maximum(abs.(transpose(a)*b - transpose(Array(a))*b)) < 100*eps())
@test (maximum(abs.(a\b - Array(a)\b)) < 1000*eps())
@test (maximum(abs.(a'\b - Array(a')\b)) < 1000*eps())
@test (maximum(abs.(transpose(a)\b - Array(transpose(a))\b)) < 1000*eps())
b = randn(5,3) + im*randn(5,3)
@test (maximum(abs.(a*b - Array(a)*b)) < 100*eps())
@test (maximum(abs.(a'b - Array(a)'b)) < 100*eps())
@test (maximum(abs.(transpose(a)*b - transpose(Array(a))*b)) < 100*eps())
@test (maximum(abs.(a\b - Array(a)\b)) < 1000*eps())
@test (maximum(abs.(a'\b - Array(a')\b)) < 1000*eps())
@test (maximum(abs.(transpose(a)\b - Array(transpose(a))\b)) < 1000*eps())
end
end
end
@testset "matrix multiplication" begin
for i = 1:5
a = sprand(10, 5, 0.7)
b = sprand(5, 15, 0.3)
@test maximum(abs.(a*b - Array(a)*Array(b))) < 100*eps()
@test maximum(abs.(SparseArrays.spmatmul(a,b,sortindices=:sortcols) - Array(a)*Array(b))) < 100*eps()
@test maximum(abs.(SparseArrays.spmatmul(a,b,sortindices=:doubletranspose) - Array(a)*Array(b))) < 100*eps()
f = Diagonal(rand(5))
@test Array(a*f) == Array(a)*f
@test Array(f*b) == f*Array(b)
end
end
@testset "kronecker product" begin
for (m,n) in ((5,10), (13,8), (14,10))
a = sprand(m, 5, 0.4); a_d = Matrix(a)
b = sprand(n, 6, 0.3); b_d = Matrix(b)
x = sprand(m, 0.4); x_d = Vector(x)
y = sprand(n, 0.3); y_d = Vector(y)
# mat ⊗ mat
@test Array(kron(a, b)) == kron(a_d, b_d)
@test Array(kron(a_d, b)) == kron(a_d, b_d)
@test Array(kron(a, b_d)) == kron(a_d, b_d)
# vec ⊗ vec
@test Vector(kron(x, y)) == kron(x_d, y_d)
@test Vector(kron(x_d, y)) == kron(x_d, y_d)
@test Vector(kron(x, y_d)) == kron(x_d, y_d)
# mat ⊗ vec
@test Array(kron(a, y)) == kron(a_d, y_d)
@test Array(kron(a_d, y)) == kron(a_d, y_d)
@test Array(kron(a, y_d)) == kron(a_d, y_d)
# vec ⊗ mat
@test Array(kron(x, b)) == kron(x_d, b_d)
@test Array(kron(x_d, b)) == kron(x_d, b_d)
@test Array(kron(x, b_d)) == kron(x_d, b_d)
# test different types
z = convert(SparseVector{Float16, Int8}, y); z_d = Vector(z)
@test Vector(kron(x, z)) == kron(x_d, z_d)
@test Array(kron(a, z)) == kron(a_d, z_d)
@test Array(kron(z, b)) == kron(z_d, b_d)
end
end
@testset "sparse Frobenius dot/inner product" begin
for i = 1:5
A = sprand(ComplexF64,10,15,0.4)
B = sprand(ComplexF64,10,15,0.5)
@test dot(A,B) ≈ dot(Matrix(A),Matrix(B))
end
@test_throws DimensionMismatch dot(sprand(5,5,0.2),sprand(5,6,0.2))
end
sA = sprandn(3, 7, 0.5)
sC = similar(sA)
dA = Array(sA)
@testset "scaling with * and mul!, rmul!, and lmul!" begin
b = randn(7)
@test dA * Diagonal(b) == sA * Diagonal(b)
@test dA * Diagonal(b) == mul!(sC, sA, Diagonal(b))
@test dA * Diagonal(b) == rmul!(copy(sA), Diagonal(b))
b = randn(3)
@test Diagonal(b) * dA == Diagonal(b) * sA
@test Diagonal(b) * dA == mul!(sC, Diagonal(b), sA)
@test Diagonal(b) * dA == lmul!(Diagonal(b), copy(sA))
@test dA * 0.5 == sA * 0.5
@test dA * 0.5 == mul!(sC, sA, 0.5)
@test dA * 0.5 == rmul!(copy(sA), 0.5)
@test 0.5 * dA == 0.5 * sA
@test 0.5 * dA == mul!(sC, sA, 0.5)
@test 0.5 * dA == lmul!(0.5, copy(sA))
@test mul!(sC, 0.5, sA) == mul!(sC, sA, 0.5)
@testset "inverse scaling with mul!" begin
bi = inv.(b)
dAt = copy(transpose(dA))
sAt = copy(transpose(sA))
@test rmul!(copy(dAt), Diagonal(bi)) ≈ rdiv!(copy(sAt), Diagonal(b))
@test rmul!(copy(dAt), Diagonal(bi)) ≈ rdiv!(copy(sAt), transpose(Diagonal(b)))
@test rmul!(copy(dAt), Diagonal(conj(bi))) ≈ rdiv!(copy(sAt), adjoint(Diagonal(b)))
@test_throws DimensionMismatch rdiv!(copy(sAt), Diagonal(fill(1., length(b)+1)))
@test_throws LinearAlgebra.SingularException rdiv!(copy(sAt), Diagonal(zeros(length(b))))
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(A.nzval) != pointer(B.nzval)
@test pointer(A.rowval) != pointer(B.rowval)
@test pointer(A.colptr) != pointer(B.colptr)
# 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
end
@testset "conj" begin
cA = sprandn(5,5,0.2) + im*sprandn(5,5,0.2)
@test Array(conj.(cA)) == conj(Array(cA))
@test Array(conj!(copy(cA))) == conj(Array(cA))
end
@testset "SparseMatrixCSC [c]transpose[!] and permute[!]" begin
smalldim = 5
largedim = 10
nzprob = 0.4
(m, n) = (smalldim, smalldim)
A = sprand(m, n, nzprob)
X = similar(A)
C = copy(transpose(A))
p = randperm(m)
q = randperm(n)
@testset "common error checking of [c]transpose! methods (ftranspose!)" begin
@test_throws DimensionMismatch transpose!(A[:, 1:(smalldim - 1)], A)
@test_throws DimensionMismatch transpose!(A[1:(smalldim - 1), 1], A)
@test_throws ArgumentError transpose!((B = similar(A); resize!(B.rowval, nnz(A) - 1); B), A)
@test_throws ArgumentError transpose!((B = similar(A); resize!(B.nzval, nnz(A) - 1); B), A)
end
@testset "common error checking of permute[!] methods / source-perm compat" begin
@test_throws DimensionMismatch permute(A, p[1:(end - 1)], q)
@test_throws DimensionMismatch permute(A, p, q[1:(end - 1)])
end
@testset "common error checking of permute[!] methods / source-dest compat" begin
@test_throws DimensionMismatch permute!(A[1:(m - 1), :], A, p, q)
@test_throws DimensionMismatch permute!(A[:, 1:(m - 1)], A, p, q)
@test_throws ArgumentError permute!((Y = copy(X); resize!(Y.rowval, nnz(A) - 1); Y), A, p, q)
@test_throws ArgumentError permute!((Y = copy(X); resize!(Y.nzval, nnz(A) - 1); Y), A, p, q)
end
@testset "common error checking of permute[!] methods / source-workmat compat" begin
@test_throws DimensionMismatch permute!(X, A, p, q, C[1:(m - 1), :])
@test_throws DimensionMismatch permute!(X, A, p, q, C[:, 1:(m - 1)])
@test_throws ArgumentError permute!(X, A, p, q, (D = copy(C); resize!(D.rowval, nnz(A) - 1); D))
@test_throws ArgumentError permute!(X, A, p, q, (D = copy(C); resize!(D.nzval, nnz(A) - 1); D))
end
@testset "common error checking of permute[!] methods / source-workcolptr compat" begin
@test_throws DimensionMismatch permute!(A, p, q, C, Vector{eltype(A.rowval)}(undef, length(A.colptr) - 1))
end
@testset "common error checking of permute[!] methods / permutation validity" begin
@test_throws ArgumentError permute!(A, (r = copy(p); r[2] = r[1]; r), q)
@test_throws ArgumentError permute!(A, (r = copy(p); r[2] = m + 1; r), q)
@test_throws ArgumentError permute!(A, p, (r = copy(q); r[2] = r[1]; r))
@test_throws ArgumentError permute!(A, p, (r = copy(q); r[2] = n + 1; r))
end
@testset "overall functionality of [c]transpose[!] and permute[!]" begin
for (m, n) in ((smalldim, smalldim), (smalldim, largedim), (largedim, smalldim))
A = sprand(m, n, nzprob)
At = copy(transpose(A))
# transpose[!]
fullAt = Array(transpose(A))
@test copy(transpose(A)) == fullAt
@test transpose!(similar(At), A) == fullAt
# adjoint[!]
C = A + im*A/2
fullCh = Array(C')
@test copy(C') == fullCh
@test adjoint!(similar(sparse(fullCh)), C) == fullCh
# permute[!]
p = randperm(m)
q = randperm(n)
fullPAQ = Array(A)[p,q]
@test permute(A, p, q) == sparse(Array(A[p,q]))
@test permute!(similar(A), A, p, q) == fullPAQ
@test permute!(similar(A), A, p, q, similar(At)) == fullPAQ
@test permute!(copy(A), p, q) == fullPAQ
@test permute!(copy(A), p, q, similar(At)) == fullPAQ
@test permute!(copy(A), p, q, similar(At), similar(A.colptr)) == fullPAQ
end
end
end
@testset "transpose of SubArrays" begin
A = view(sprandn(10, 10, 0.3), 1:4, 1:4)
@test copy(transpose(Array(A))) == Array(transpose(A))
@test copy(adjoint(Array(A))) == Array(adjoint(A))
end
@testset "exp" begin
A = sprandn(5,5,0.2)
@test ℯ.^A ≈ ℯ.^Array(A)
end
@testset "reductions" begin
pA = sparse(rand(3, 7))
p28227 = sparse(Real[0 0.5])
for arr in (se33, sA, pA, p28227)
for f in (sum, prod, minimum, maximum)
farr = Array(arr)
@test f(arr) ≈ f(farr)
@test f(arr, dims=1) ≈ f(farr, dims=1)
@test f(arr, dims=2) ≈ f(farr, dims=2)
@test f(arr, dims=(1, 2)) ≈ [f(farr)]
@test isequal(f(arr, dims=3), f(farr, dims=3))
end
end
for f in (sum, prod, minimum, maximum)
# Test with a map function that maps to non-zero
for arr in (se33, sA, pA)
@test f(x->x+1, arr) ≈ f(arr .+ 1)
end
# case where f(0) would throw
@test f(x->sqrt(x-1), pA .+ 1) ≈ f(sqrt.(pA))
# these actually throw due to #10533
# @test f(x->sqrt(x-1), pA .+ 1, dims=1) ≈ f(sqrt(pA), dims=1)
# @test f(x->sqrt(x-1), pA .+ 1, dims=2) ≈ f(sqrt(pA), dims=2)
# @test f(x->sqrt(x-1), pA .+ 1, dims=3) ≈ f(pA)
end
@testset "empty cases" begin
@test sum(sparse(Int[])) === 0
@test prod(sparse(Int[])) === 1
@test_throws ArgumentError minimum(sparse(Int[]))
@test_throws ArgumentError maximum(sparse(Int[]))
for f in (sum, prod)
@test isequal(f(spzeros(0, 1), dims=1), f(Matrix{Int}(I, 0, 1), dims=1))
@test isequal(f(spzeros(0, 1), dims=2), f(Matrix{Int}(I, 0, 1), dims=2))
@test isequal(f(spzeros(0, 1), dims=(1, 2)), f(Matrix{Int}(I, 0, 1), dims=(1, 2)))
@test isequal(f(spzeros(0, 1), dims=3), f(Matrix{Int}(I, 0, 1), dims=3))
end
for f in (minimum, maximum, findmin, findmax)
@test_throws ArgumentError f(spzeros(0, 1), dims=1)
@test isequal(f(spzeros(0, 1), dims=2), f(Matrix{Int}(I, 0, 1), dims=2))
@test_throws ArgumentError f(spzeros(0, 1), dims=(1, 2))
@test isequal(f(spzeros(0, 1), dims=3), f(Matrix{Int}(I, 0, 1), dims=3))
end
end
end
@testset "issue #5190" begin
@test_throws ArgumentError sparsevec([3,5,7],[0.1,0.0,3.2],4)
end
@testset "what used to be issue #5386" begin
K,J,V = findnz(SparseMatrixCSC(2,1,[1,3],[1,2],[1.0,0.0]))
@test length(K) == length(J) == length(V) == 2
end
@testset "findall" begin
# issue described in https://groups.google.com/d/msg/julia-users/Yq4dh8NOWBQ/GU57L90FZ3EJ
A = sparse(I, 5, 5)
@test findall(A) == findall(x -> x == true, A) == findall(Array(A))
# Non-stored entries are true
@test findall(x -> x == false, A) == findall(x -> x == false, Array(A))
# Not all stored entries are true
@test findall(sparse([true false])) == [CartesianIndex(1, 1)]
@test findall(x -> x > 1, sparse([1 2])) == [CartesianIndex(1, 2)]
end
@testset "issue #5824" begin
@test sprand(4,5,0.5).^0 == sparse(fill(1,4,5))
end
@testset "issue #5985" begin
@test sprand(Bool, 4, 5, 0.0) == sparse(zeros(Bool, 4, 5))
@test sprand(Bool, 4, 5, 1.00) == sparse(fill(true, 4, 5))
sprb45nnzs = zeros(5)
for i=1:5
sprb45 = sprand(Bool, 4, 5, 0.5)
@test length(sprb45) == 20
sprb45nnzs[i] = sum(sprb45)[1]
end
@test 4 <= sum(sprb45nnzs)/length(sprb45nnzs) <= 16
end
@testset "issue #5853, sparse diff" begin
for i=1:2, a=Any[[1 2 3], reshape([1, 2, 3],(3,1)), Matrix(1.0I, 3, 3)]
@test all(diff(sparse(a),dims=i) == diff(a,dims=i))
end
end
@testset "access to undefined error types that initially allocate elements as #undef" begin
@test all(sparse(1:2, 1:2, Number[1,2])^2 == sparse(1:2, 1:2, [1,4]))
sd1 = diff(sparse([1,1,1], [1,2,3], Number[1,2,3]), dims=1)
end
@testset "issue #6036" begin
P = spzeros(Float64, 3, 3)
for i = 1:3
P[i,i] = i
end
@test minimum(P) === 0.0
@test maximum(P) === 3.0
@test minimum(-P) === -3.0
@test maximum(-P) === 0.0
@test maximum(P, dims=(1,)) == [1.0 2.0 3.0]
@test maximum(P, dims=(2,)) == reshape([1.0,2.0,3.0],3,1)
@test maximum(P, dims=(1,2)) == reshape([3.0],1,1)
@test maximum(sparse(fill(-1,3,3))) == -1
@test minimum(sparse(fill(1,3,3))) == 1
end
@testset "unary functions" begin
A = sprand(5, 15, 0.5)
C = A + im*A
Afull = Array(A)
Cfull = Array(C)
# Test representatives of [unary functions that map zeros to zeros and may map nonzeros to zeros]
@test sin.(Afull) == Array(sin.(A))
@test tan.(Afull) == Array(tan.(A)) # should be redundant with sin test
@test ceil.(Afull) == Array(ceil.(A))
@test floor.(Afull) == Array(floor.(A)) # should be redundant with ceil test
@test real.(Afull) == Array(real.(A)) == Array(real(A))
@test imag.(Afull) == Array(imag.(A)) == Array(imag(A))
@test conj.(Afull) == Array(conj.(A)) == Array(conj(A))
@test real.(Cfull) == Array(real.(C)) == Array(real(C))
@test imag.(Cfull) == Array(imag.(C)) == Array(imag(C))
@test conj.(Cfull) == Array(conj.(C)) == Array(conj(C))
# Test representatives of [unary functions that map zeros to zeros and nonzeros to nonzeros]
@test expm1.(Afull) == Array(expm1.(A))
@test abs.(Afull) == Array(abs.(A))
@test abs2.(Afull) == Array(abs2.(A))
@test abs.(Cfull) == Array(abs.(C))
@test abs2.(Cfull) == Array(abs2.(C))
# Test representatives of [unary functions that map both zeros and nonzeros to nonzeros]
@test cos.(Afull) == Array(cos.(A))
# Test representatives of remaining vectorized-nonbroadcast unary functions
@test ceil.(Int, Afull) == Array(ceil.(Int, A))
@test floor.(Int, Afull) == Array(floor.(Int, A))
# Tests of real, imag, abs, and abs2 for SparseMatrixCSC{Int,X}s previously elsewhere
for T in (Int, Float16, Float32, Float64, BigInt, BigFloat)
R = rand(T[1:100;], 2, 2)
I = rand(T[1:100;], 2, 2)
D = R + I*im
S = sparse(D)
spR = sparse(R)
@test R == real.(S) == real(S)
@test I == imag.(S) == imag(S)
@test conj(Array(S)) == conj.(S) == conj(S)
@test real.(spR) == R
@test nnz(imag.(spR)) == nnz(imag(spR)) == 0
@test abs.(S) == abs.(D)
@test abs2.(S) == abs2.(D)
# test aliasing of real and conj of real valued matrix
@test real(spR) === spR
@test conj(spR) === spR
end
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)
# 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
# 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!(c.nzval, 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;])
@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
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
end
@testset "issue #7507" begin
@test (i7507=sparsevec(Dict{Int64, Float64}(), 10))==spzeros(10)
end
@testset "issue #7650" begin
S = spzeros(3, 3)
@test size(reshape(S, 9, 1)) == (9,1)
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
@testset "issue #7677" begin
A = sprand(5,5,0.5,(n)->rand(Float64,n))
ACPY = copy(A)
B = reshape(A,25,1)
@test A == ACPY
end
@testset "issue #8225" begin
@test_throws ArgumentError sparse([0],[-1],[1.0],2,2)
end
@testset "issue #8363" begin
@test_throws ArgumentError sparsevec(Dict(-1=>1,1=>2))
end
@testset "issue #8976" begin
@test conj.(sparse([1im])) == sparse(conj([1im]))
@test conj!(sparse([1im])) == sparse(conj!([1im]))
end
@testset "issue #9525" begin
@test_throws ArgumentError sparse([3], [5], 1.0, 3, 3)
end
@testset "argmax, argmin, findmax, findmin" begin
S = sprand(100,80, 0.5)
A = Array(S)
@test argmax(S) == argmax(A)
@test argmin(S) == argmin(A)
@test findmin(S) == findmin(A)
@test findmax(S) == findmax(A)
for region in [(1,), (2,), (1,2)], m in [findmax, findmin]
@test m(S, dims=region) == m(A, dims=region)
end
S = spzeros(10,8)
A = Array(S)
@test argmax(S) == argmax(A) == CartesianIndex(1,1)
@test argmin(S) == argmin(A) == CartesianIndex(1,1)
A = Matrix{Int}(I, 0, 0)
S = sparse(A)
iA = try argmax(A); catch; end
iS = try argmax(S); catch; end
@test iA === iS === nothing
iA = try argmin(A); catch; end
iS = try argmin(S); catch; end
@test iA === iS === nothing
end
@testset "findmin/findmax/minimum/maximum" begin
A = sparse([1.0 5.0 6.0;
5.0 2.0 4.0])
for (tup, rval, rind) in [((1,), [1.0 2.0 4.0], [CartesianIndex(1,1) CartesianIndex(2,2) CartesianIndex(2,3)]),
((2,), reshape([1.0,2.0], 2, 1), reshape([CartesianIndex(1,1),CartesianIndex(2,2)], 2, 1)),
((1,2), fill(1.0,1,1),fill(CartesianIndex(1,1),1,1))]
@test findmin(A, tup) == (rval, rind)
end
for (tup, rval, rind) in [((1,), [5.0 5.0 6.0], [CartesianIndex(2,1) CartesianIndex(1,2) CartesianIndex(1,3)]),
((2,), reshape([6.0,5.0], 2, 1), reshape([CartesianIndex(1,3),CartesianIndex(2,1)], 2, 1)),
((1,2), fill(6.0,1,1),fill(CartesianIndex(1,3),1,1))]
@test findmax(A, tup) == (rval, rind)
end
#issue 23209
A = sparse([1.0 5.0 6.0;
NaN 2.0 4.0])
for (tup, rval, rind) in [((1,), [NaN 2.0 4.0], [CartesianIndex(2,1) CartesianIndex(2,2) CartesianIndex(2,3)]),
((2,), reshape([1.0, NaN], 2, 1), reshape([CartesianIndex(1,1),CartesianIndex(2,1)], 2, 1)),
((1,2), fill(NaN,1,1),fill(CartesianIndex(2,1),1,1))]
@test isequal(findmin(A, tup), (rval, rind))
end
for (tup, rval, rind) in [((1,), [NaN 5.0 6.0], [CartesianIndex(2,1) CartesianIndex(1,2) CartesianIndex(1,3)]),
((2,), reshape([6.0, NaN], 2, 1), reshape([CartesianIndex(1,3),CartesianIndex(2,1)], 2, 1)),
((1,2), fill(NaN,1,1),fill(CartesianIndex(2,1),1,1))]
@test isequal(findmax(A, tup), (rval, rind))
end
A = sparse([1.0 NaN 6.0;
NaN 2.0 4.0])
for (tup, rval, rind) in [((1,), [NaN NaN 4.0], [CartesianIndex(2,1) CartesianIndex(1,2) CartesianIndex(2,3)]),
((2,), reshape([NaN, NaN], 2, 1), reshape([CartesianIndex(1,2),CartesianIndex(2,1)], 2, 1)),
((1,2), fill(NaN,1,1),fill(CartesianIndex(2,1),1,1))]
@test isequal(findmin(A, tup), (rval, rind))
end
for (tup, rval, rind) in [((1,), [NaN NaN 6.0], [CartesianIndex(2,1) CartesianIndex(1,2) CartesianIndex(1,3)]),
((2,), reshape([NaN, NaN], 2, 1), reshape([CartesianIndex(1,2),CartesianIndex(2,1)], 2, 1)),
((1,2), fill(NaN,1,1),fill(CartesianIndex(2,1),1,1))]
@test isequal(findmax(A, tup), (rval, rind))
end
A = sparse([Inf -Inf Inf -Inf;
Inf Inf -Inf -Inf])
for (tup, rval, rind) in [((1,), [Inf -Inf -Inf -Inf], [CartesianIndex(1,1) CartesianIndex(1,2) CartesianIndex(2,3) CartesianIndex(1,4)]),
((2,), reshape([-Inf -Inf], 2, 1), reshape([CartesianIndex(1,2),CartesianIndex(2,3)], 2, 1)),
((1,2), fill(-Inf,1,1),fill(CartesianIndex(1,2),1,1))]
@test isequal(findmin(A, tup), (rval, rind))
end
for (tup, rval, rind) in [((1,), [Inf Inf Inf -Inf], [CartesianIndex(1,1) CartesianIndex(2,2) CartesianIndex(1,3) CartesianIndex(1,4)]),
((2,), reshape([Inf Inf], 2, 1), reshape([CartesianIndex(1,1),CartesianIndex(2,1)], 2, 1)),
((1,2), fill(Inf,1,1),fill(CartesianIndex(1,1),1,1))]
@test isequal(findmax(A, tup), (rval, rind))
end
A = sparse([BigInt(10)])
for (tup, rval, rind) in [((2,), [BigInt(10)], [1])]
@test isequal(findmin(A, dims=tup), (rval, rind))
end
for (tup, rval, rind) in [((2,), [BigInt(10)], [1])]
@test isequal(findmax(A, dims=tup), (rval, rind))
end
A = sparse([BigInt(-10)])
for (tup, rval, rind) in [((2,), [BigInt(-10)], [1])]
@test isequal(findmin(A, dims=tup), (rval, rind))
end
for (tup, rval, rind) in [((2,), [BigInt(-10)], [1])]
@test isequal(findmax(A, dims=tup), (rval, rind))
end
A = sparse([BigInt(10) BigInt(-10)])
for (tup, rval, rind) in [((2,), reshape([BigInt(-10)], 1, 1), reshape([CartesianIndex(1,2)], 1, 1))]
@test isequal(findmin(A, dims=tup), (rval, rind))
end
for (tup, rval, rind) in [((2,), reshape([BigInt(10)], 1, 1), reshape([CartesianIndex(1,1)], 1, 1))]
@test isequal(findmax(A, dims=tup), (rval, rind))
end
A = sparse(["a", "b"])
@test_throws MethodError findmin(A, dims=1)
end
# Support the case when user defined `zero` and `isless` for non-numerical type
struct CustomType
x::String
end
Base.zero(::Type{CustomType}) = CustomType("")
Base.isless(x::CustomType, y::CustomType) = isless(x.x, y.x)
@testset "findmin/findmax for non-numerical type" begin
A = sparse([CustomType("a"), CustomType("b")])
for (tup, rval, rind) in [((1,), [CustomType("a")], [1])]
@test isequal(findmin(A, dims=tup), (rval, rind))
end
for (tup, rval, rind) in [((1,), [CustomType("b")], [2])]
@test isequal(findmax(A, dims=tup), (rval, rind))
end
end
@testset "rotations" begin
a = sparse( [1,1,2,3], [1,3,4,1], [1,2,3,4] )
@test rot180(a,2) == a
@test rot180(a,1) == sparse( [3,3,2,1], [4,2,1,4], [1,2,3,4] )
@test rotr90(a,1) == sparse( [1,3,4,1], [3,3,2,1], [1,2,3,4] )
@test rotl90(a,1) == sparse( [4,2,1,4], [1,1,2,3], [1,2,3,4] )
@test rotl90(a,2) == rot180(a)
@test rotr90(a,2) == rot180(a)
@test rotl90(a,3) == rotr90(a)
@test rotr90(a,3) == rotl90(a)
#ensure we have preserved the correct dimensions!
a = sparse(1.0I, 3, 5)
@test size(rot180(a)) == (3,5)
@test size(rotr90(a)) == (5,3)
@test size(rotl90(a)) == (5,3)
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)/S.n) 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)/S.n), 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)/S.n), 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 "explicit zeros" begin
if Base.USE_GPL_LIBS
a = SparseMatrixCSC(2, 2, [1, 3, 5], [1, 2, 1, 2], [1.0, 0.0, 0.0, 1.0])
@test lu(a)\[2.0, 3.0] ≈ [2.0, 3.0]
@test cholesky(a)\[2.0, 3.0] ≈ [2.0, 3.0]
end
end
@testset "issue #9917" begin
@test sparse([]') == reshape(sparse([]), 1, 0)
@test Array(sparse([])) == zeros(0)
@test_throws BoundsError sparse([])[1]
@test_throws BoundsError sparse([])[1] = 1
x = sparse(1.0I, 100, 100)
@test_throws BoundsError x[-10:10]
end
@testset "issue #10407" begin
@test maximum(spzeros(5, 5)) == 0.0
@test minimum(spzeros(5, 5)) == 0.0
end
@testset "issue #10411" begin
for (m,n) in ((2,-2),(-2,2),(-2,-2))
@test_throws ArgumentError spzeros(m,n)
@test_throws ArgumentError sparse(1.0I, m, n)
@test_throws ArgumentError sprand(m,n,0.2)
end
end
@testset "issue #10837, sparse constructors from special matrices" begin
T = Tridiagonal(randn(4),randn(5),randn(4))
S = sparse(T)
@test norm(Array(T) - Array(S)) == 0.0
T = SymTridiagonal(randn(5),rand(4))
S = sparse(T)
@test norm(Array(T) - Array(S)) == 0.0
B = Bidiagonal(randn(5),randn(4),:U)
S = sparse(B)
@test norm(Array(B) - Array(S)) == 0.0
B = Bidiagonal(randn(5),randn(4),:L)
S = sparse(B)
@test norm(Array(B) - Array(S)) == 0.0
D = Diagonal(randn(5))
S = sparse(D)
@test norm(Array(D) - Array(S)) == 0.0
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 "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 "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 "istriu/istril" begin
local A = fill(1, 5, 5)
@test istriu(sparse(triu(A)))
@test !istriu(sparse(A))
@test istril(sparse(tril(A)))
@test !istril(sparse(A))
end
@testset "droptol" begin
local A = guardseed(1234321) do
triu(sprand(10, 10, 0.2))
end
@test SparseArrays.droptol!(A, 0.01).colptr == [1,1,1,2,2,3,4,6,6,7,9]
@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, Aposzeros.nzval, Aposzeros.nzval)
map!(x -> x == -2 ? -0.0 : x, Anegzeros.nzval, Anegzeros.nzval)
map!(x -> x == 2 ? 0.0 : x == -2 ? -0.0 : x, Abothsigns.nzval, Abothsigns.nzval)
for Awithzeros in (Aposzeros, Anegzeros, Abothsigns)
# Basic functionality / dropzeros!
@test dropzeros!(copy(Awithzeros)) == A
@test dropzeros!(copy(Awithzeros), trim = false) == A
# Basic functionality / dropzeros
@test dropzeros(Awithzeros) == A
@test dropzeros(Awithzeros, trim = false) == A
# Check trimming works as expected
@test length(dropzeros!(copy(Awithzeros)).nzval) == length(A.nzval)
@test length(dropzeros!(copy(Awithzeros)).rowval) == length(A.rowval)
@test length(dropzeros!(copy(Awithzeros), trim = false).nzval) == length(Awithzeros.nzval)
@test length(dropzeros!(copy(Awithzeros), trim = false).rowval) == length(Awithzeros.rowval)
end
end
# original lone dropzeros test
local A = sparse([1 2 3; 4 5 6; 7 8 9])
A.nzval[2] = A.nzval[6] = A.nzval[7] = 0
@test dropzeros!(A).colptr == [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 "trace" begin
@test_throws DimensionMismatch tr(spzeros(5,6))
@test tr(sparse(1.0I, 5, 5)) == 5
end
@testset "spdiagm" begin
x = fill(1, 2)
@test spdiagm(0 => x, -1 => x) == [1 0 0; 1 1 0; 0 1 0]
@test spdiagm(0 => x, 1 => x) == [1 1 0; 0 1 1; 0 0 0]
for (x, y) in ((rand(5), rand(4)),(sparse(rand(5)), sparse(rand(4))))
@test spdiagm(-1 => x)::SparseMatrixCSC == diagm(-1 => x)
@test spdiagm( 0 => x)::SparseMatrixCSC == diagm( 0 => x) == sparse(Diagonal(x))
@test spdiagm(-1 => x)::SparseMatrixCSC == diagm(-1 => x)
@test spdiagm(0 => x, -1 => y)::SparseMatrixCSC == diagm(0 => x, -1 => y)
@test spdiagm(0 => x, 1 => y)::SparseMatrixCSC == diagm(0 => x, 1 => y)
end
# promotion
@test spdiagm(0 => [1,2], 1 => [3.5], -1 => [4+5im]) == [1 3.5; 4+5im 2]
end
@testset "diag" begin
for T in (Float64, ComplexF64)
S1 = sprand(T, 5, 5, 0.5)
S2 = sprand(T, 10, 5, 0.5)
S3 = sprand(T, 5, 10, 0.5)
for S in (S1, S2, S3)
local A = Matrix(S)
@test diag(S)::SparseVector{T,Int} == diag(A)
for k in -size(S,1):size(S,2)
@test diag(S, k)::SparseVector{T,Int} == diag(A, k)
end
@test_throws ArgumentError diag(S, -size(S,1)-1)
@test_throws ArgumentError diag(S, size(S,2)+1)
end
end
# test that stored zeros are still stored zeros in the diagonal
S = sparse([1,3],[1,3],[0.0,0.0]); V = diag(S)
@test V.nzind == [1,3]
@test V.nzval == [0.0,0.0]
end
@testset "expandptr" begin
local A = sparse(1.0I, 5, 5)
@test SparseArrays.expandptr(A.colptr) == 1:5
A[1,2] = 1
@test SparseArrays.expandptr(A.colptr) == [1; 2; 2; 3; 4; 5]
@test_throws ArgumentError SparseArrays.expandptr([2; 3])
end
@testset "triu/tril" begin
n = 5
local A = sprand(n, n, 0.2)
AF = Array(A)
@test Array(triu(A,1)) == triu(AF,1)
@test Array(tril(A,1)) == tril(AF,1)
@test Array(triu!(copy(A), 2)) == triu(AF,2)
@test Array(tril!(copy(A), 2)) == tril(AF,2)
@test tril(A, -n - 2) == zero(A)
@test tril(A, n) == A
@test triu(A, -n) == A
@test triu(A, n + 2) == zero(A)
# fkeep trim option
@test isequal(length(tril!(sparse([1,2,3], [1,2,3], [1,2,3], 3, 4), -1).rowval), 0)
end
@testset "norm" begin
local A
A = sparse(Int[],Int[],Float64[],0,0)
@test norm(A) == zero(eltype(A))
A = sparse([1.0])
@test norm(A) == 1.0
@test_throws ArgumentError opnorm(sprand(5,5,0.2),3)
@test_throws ArgumentError opnorm(sprand(5,5,0.2),2)
end
@testset "ishermitian/issymmetric" begin
local A
# real matrices
A = sparse(1.0I, 5, 5)
@test ishermitian(A) == true
@test issymmetric(A) == true
A[1,3] = 1.0
@test ishermitian(A) == false
@test issymmetric(A) == false
A[3,1] = 1.0
@test ishermitian(A) == true
@test issymmetric(A) == true
# complex matrices
A = sparse((1.0 + 1.0im)I, 5, 5)
@test ishermitian(A) == false
@test issymmetric(A) == true
A[1,4] = 1.0 + im
@test ishermitian(A) == false
@test issymmetric(A) == false
A = sparse(ComplexF64(1)I, 5, 5)
A[3,2] = 1.0 + im
@test ishermitian(A) == false
@test issymmetric(A) == false
A[2,3] = 1.0 - im
@test ishermitian(A) == true
@test issymmetric(A) == false
A = sparse(zeros(5,5))
@test ishermitian(A) == true
@test issymmetric(A) == true
# explicit zeros
A = sparse(ComplexF64(1)I, 5, 5)
A[3,1] = 2
A.nzval[2] = 0.0
@test ishermitian(A) == true
@test issymmetric(A) == true
# 15504
m = n = 5
colptr = [1, 5, 9, 13, 13, 17]
rowval = [1, 2, 3, 5, 1, 2, 3, 5, 1, 2, 3, 5, 1, 2, 3, 5]
nzval = [0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0]
A = SparseMatrixCSC(m, n, colptr, rowval, nzval)
@test issymmetric(A) == true
A.nzval[end - 3] = 2.0
@test issymmetric(A) == false
# 16521
@test issymmetric(sparse([0 0; 1 0])) == false
@test issymmetric(sparse([0 1; 0 0])) == false
@test issymmetric(sparse([0 0; 1 1])) == false
@test issymmetric(sparse([1 0; 1 0])) == false
@test issymmetric(sparse([0 1; 1 0])) == true
@test issymmetric(sparse([1 1; 1 0])) == true
end
@testset "equality ==" begin
A1 = sparse(1.0I, 10, 10)
A2 = sparse(1.0I, 10, 10)
nonzeros(A1)[end]=0
@test A1!=A2
nonzeros(A1)[end]=1
@test A1==A2
A1[1:4,end] .= 1
@test A1!=A2
nonzeros(A1)[end-4:end-1].=0
@test A1==A2
A2[1:4,end-1] .= 1
@test A1!=A2
nonzeros(A2)[end-5:end-2].=0
@test A1==A2
A2[2:3,1] .= 1
@test A1!=A2
nonzeros(A2)[2:3].=0
@test A1==A2
A1[2:5,1] .= 1
@test A1!=A2
nonzeros(A1)[2:5].=0
@test A1==A2
@test sparse([1,1,0])!=sparse([0,1,1])
end
@testset "UniformScaling" begin
local A = sprandn(10, 10, 0.5)
@test A + I == Array(A) + I
@test I + A == I + Array(A)
@test A - I == Array(A) - I
@test I - A == I - Array(A)
end
@testset "issue #12177, error path if triplet vectors are not all the same length" begin
@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)
end
@testset "issue #12118: sparse matrices are closed under +, -, min, max" begin
A12118 = sparse([1,2,3,4,5], [1,2,3,4,5], [1,2,3,4,5])
B12118 = sparse([1,2,4,5], [1,2,3,5], [2,1,-1,-2])
@test A12118 + B12118 == sparse([1,2,3,4,4,5], [1,2,3,3,4,5], [3,3,3,-1,4,3])
@test typeof(A12118 + B12118) == SparseMatrixCSC{Int,Int}
@test A12118 - B12118 == sparse([1,2,3,4,4,5], [1,2,3,3,4,5], [-1,1,3,1,4,7])
@test typeof(A12118 - B12118) == SparseMatrixCSC{Int,Int}
@test max.(A12118, B12118) == sparse([1,2,3,4,5], [1,2,3,4,5], [2,2,3,4,5])
@test typeof(max.(A12118, B12118)) == SparseMatrixCSC{Int,Int}
@test min.(A12118, B12118) == sparse([1,2,4,5], [1,2,3,5], [1,1,-1,-2])
@test typeof(min.(A12118, B12118)) == SparseMatrixCSC{Int,Int}
end
@testset "sparse matrix norms" begin
Ac = sprandn(10,10,.1) + im* sprandn(10,10,.1)
Ar = sprandn(10,10,.1)
Ai = ceil.(Int,Ar*100)
@test opnorm(Ac,1) ≈ opnorm(Array(Ac),1)
@test opnorm(Ac,Inf) ≈ opnorm(Array(Ac),Inf)
@test norm(Ac) ≈ norm(Array(Ac))
@test opnorm(Ar,1) ≈ opnorm(Array(Ar),1)
@test opnorm(Ar,Inf) ≈ opnorm(Array(Ar),Inf)
@test norm(Ar) ≈ norm(Array(Ar))
@test opnorm(Ai,1) ≈ opnorm(Array(Ai),1)
@test opnorm(Ai,Inf) ≈ opnorm(Array(Ai),Inf)
@test norm(Ai) ≈ norm(Array(Ai))
Ai = trunc.(Int, Ar*100)
@test opnorm(Ai,1) ≈ opnorm(Array(Ai),1)
@test opnorm(Ai,Inf) ≈ opnorm(Array(Ai),Inf)
@test norm(Ai) ≈ norm(Array(Ai))
Ai = round.(Int, Ar*100)
@test opnorm(Ai,1) ≈ opnorm(Array(Ai),1)
@test opnorm(Ai,Inf) ≈ opnorm(Array(Ai),Inf)
@test norm(Ai) ≈ norm(Array(Ai))
# make certain entries in nzval beyond
# the range specified in colptr do not
# impact norm of a sparse matrix
foo = sparse(1.0I, 4, 4)
resize!(foo.nzval, 5)
setindex!(foo.nzval, NaN, 5)
@test norm(foo) == 2.0
end
@testset "sparse matrix cond" begin
local A = sparse(reshape([1.0], 1, 1))
Ac = sprandn(20, 20,.5) + im*sprandn(20, 20,.5)
Ar = sprandn(20, 20,.5) + eps()*I
@test cond(A, 1) == 1.0
# For a discussion of the tolerance, see #14778
if Base.USE_GPL_LIBS
@test 0.99 <= cond(Ar, 1) \ opnorm(Ar, 1) * opnorm(inv(Array(Ar)), 1) < 3
@test 0.99 <= cond(Ac, 1) \ opnorm(Ac, 1) * opnorm(inv(Array(Ac)), 1) < 3
@test 0.99 <= cond(Ar, Inf) \ opnorm(Ar, Inf) * opnorm(inv(Array(Ar)), Inf) < 3
@test 0.99 <= cond(Ac, Inf) \ opnorm(Ac, Inf) * opnorm(inv(Array(Ac)), Inf) < 3
end
@test_throws ArgumentError cond(A,2)
@test_throws ArgumentError cond(A,3)
Arect = spzeros(10, 6)
@test_throws DimensionMismatch cond(Arect, 1)
@test_throws ArgumentError cond(Arect,2)
@test_throws DimensionMismatch cond(Arect, Inf)
end
@testset "sparse matrix opnormestinv" begin
Random.seed!(1234)
Ac = sprandn(20,20,.5) + im* sprandn(20,20,.5)
Aci = ceil.(Int64, 100*sprand(20,20,.5)) + im*ceil.(Int64, sprand(20,20,.5))
Ar = sprandn(20,20,.5)
Ari = ceil.(Int64, 100*Ar)
if Base.USE_GPL_LIBS
# NOTE: opnormestinv is probabilistic, so requires a fixed seed (set above in Random.seed!(1234))
@test SparseArrays.opnormestinv(Ac,3) ≈ opnorm(inv(Array(Ac)),1) atol=1e-4
@test SparseArrays.opnormestinv(Aci,3) ≈ opnorm(inv(Array(Aci)),1) atol=1e-4
@test SparseArrays.opnormestinv(Ar) ≈ opnorm(inv(Array(Ar)),1) atol=1e-4
@test_throws ArgumentError SparseArrays.opnormestinv(Ac,0)
@test_throws ArgumentError SparseArrays.opnormestinv(Ac,21)
end
@test_throws DimensionMismatch SparseArrays.opnormestinv(sprand(3,5,.9))
end
@testset "issue #13008" begin
@test_throws ArgumentError sparse(Vector(1:100), Vector(1:100), fill(5,100), 5, 5)
@test_throws ArgumentError sparse(Int[], Vector(1:5), Vector(1:5))
end
@testset "issue #13024" begin
A13024 = sparse([1,2,3,4,5], [1,2,3,4,5], fill(true,5))
B13024 = sparse([1,2,4,5], [1,2,3,5], fill(true,4))
@test broadcast(&, A13024, B13024) == sparse([1,2,5], [1,2,5], fill(true,3))
@test typeof(broadcast(&, A13024, B13024)) == SparseMatrixCSC{Bool,Int}
@test broadcast(|, A13024, B13024) == sparse([1,2,3,4,4,5], [1,2,3,3,4,5], fill(true,6))
@test typeof(broadcast(|, A13024, B13024)) == SparseMatrixCSC{Bool,Int}
@test broadcast(⊻, A13024, B13024) == sparse([3,4,4], [3,3,4], fill(true,3), 5, 5)
@test typeof(broadcast(⊻, A13024, B13024)) == SparseMatrixCSC{Bool,Int}
@test broadcast(max, A13024, B13024) == sparse([1,2,3,4,4,5], [1,2,3,3,4,5], fill(true,6))
@test typeof(broadcast(max, A13024, B13024)) == SparseMatrixCSC{Bool,Int}
@test broadcast(min, A13024, B13024) == sparse([1,2,5], [1,2,5], fill(true,3))
@test typeof(broadcast(min, A13024, B13024)) == SparseMatrixCSC{Bool,Int}
for op in (+, -)
@test op(A13024, B13024) == op(Array(A13024), Array(B13024))
end
for op in (max, min, &, |, xor)
@test op.(A13024, B13024) == op.(Array(A13024), Array(B13024))
end
end
@testset "fillstored!" begin
@test LinearAlgebra.fillstored!(sparse(2.0I, 5, 5), 1) == Matrix(I, 5, 5)
end
@testset "factorization" begin
Random.seed!(123)
local A
A = sparse(Diagonal(rand(5))) + sprandn(5, 5, 0.2) + im*sprandn(5, 5, 0.2)
A = A + copy(A')
@test !Base.USE_GPL_LIBS || abs(det(factorize(Hermitian(A)))) ≈ abs(det(factorize(Array(A))))
A = sparse(Diagonal(rand(5))) + sprandn(5, 5, 0.2) + im*sprandn(5, 5, 0.2)
A = A*A'
@test !Base.USE_GPL_LIBS || abs(det(factorize(Hermitian(A)))) ≈ abs(det(factorize(Array(A))))
A = sparse(Diagonal(rand(5))) + sprandn(5, 5, 0.2)
A = A + copy(transpose(A))
@test !Base.USE_GPL_LIBS || abs(det(factorize(Symmetric(A)))) ≈ abs(det(factorize(Array(A))))
A = sparse(Diagonal(rand(5))) + sprandn(5, 5, 0.2)
A = A*transpose(A)
@test !Base.USE_GPL_LIBS || abs(det(factorize(Symmetric(A)))) ≈ abs(det(factorize(Array(A))))
@test factorize(triu(A)) == triu(A)
@test isa(factorize(triu(A)), UpperTriangular{Float64, SparseMatrixCSC{Float64, Int}})
@test factorize(tril(A)) == tril(A)
@test isa(factorize(tril(A)), LowerTriangular{Float64, SparseMatrixCSC{Float64, Int}})
C, b = A[:, 1:4], fill(1., size(A, 1))
@test !Base.USE_GPL_LIBS || factorize(C)\b ≈ Array(C)\b
@test_throws ErrorException eigen(A)
@test_throws ErrorException inv(A)
end
@testset "issue #13792, use sparse triangular solvers for sparse triangular solves" begin
local A, n, x
n = 100
A, b = sprandn(n, n, 0.5) + sqrt(n)*I, fill(1., n)
@test LowerTriangular(A)\(LowerTriangular(A)*b) ≈ b
@test UpperTriangular(A)\(UpperTriangular(A)*b) ≈ b
A[2,2] = 0
dropzeros!(A)
@test_throws LinearAlgebra.SingularException LowerTriangular(A)\b
@test_throws LinearAlgebra.SingularException UpperTriangular(A)\b
end
@testset "issue described in https://groups.google.com/forum/#!topic/julia-dev/QT7qpIpgOaA" begin
@test sparse([1,1], [1,1], [true, true]) == sparse([1,1], [1,1], [true, true], 1, 1) == fill(true, 1, 1)
@test sparsevec([1,1], [true, true]) == sparsevec([1,1], [true, true], 1) == fill(true, 1)
end
@testset "issparse for specialized matrix types" begin
m = sprand(10, 10, 0.1)
@test issparse(Symmetric(m))
@test issparse(Hermitian(m))
@test issparse(LowerTriangular(m))
@test issparse(LinearAlgebra.UnitLowerTriangular(m))
@test issparse(UpperTriangular(m))
@test issparse(LinearAlgebra.UnitUpperTriangular(m))
@test issparse(Symmetric(Array(m))) == false
@test issparse(Hermitian(Array(m))) == false
@test issparse(LowerTriangular(Array(m))) == false
@test issparse(LinearAlgebra.UnitLowerTriangular(Array(m))) == false
@test issparse(UpperTriangular(Array(m))) == false
@test issparse(LinearAlgebra.UnitUpperTriangular(Array(m))) == false
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
@testset "issue #16073" begin
@inferred sprand(1, 1, 1.0)
@inferred sprand(1, 1, 1.0, rand, Float64)
@inferred sprand(1, 1, 1.0, x -> round.(Int, rand(x) * 100))
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(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)))
end
end
@testset "issue #14816" begin
m = 5
intmat = fill(1, m, m)
ltintmat = LowerTriangular(rand(1:5, m, m))
@test \(transpose(ltintmat), sparse(intmat)) ≈ \(transpose(ltintmat), intmat)
end
# Test temporary fix for issue #16548 in PR #16979. Somewhat brittle. Expect to remove with `\` revisions.
@testset "issue #16548" begin
ms = methods(\, (SparseMatrixCSC, AbstractVecOrMat)).ms
@test all(m -> m.module == SparseArrays, ms)
end
@testset "row indexing a SparseMatrixCSC with non-Int integer type" begin
local A = sparse(UInt32[1,2,3], UInt32[1,2,3], [1.0,2.0,3.0])
@test A[1,1:3] == A[1,:] == [1,0,0]
end
# Check that `broadcast` methods specialized for unary operations over `SparseMatrixCSC`s
# are called. (Issue #18705.) EDIT: #19239 unified broadcast over a single sparse matrix,
# eliminating the former operation classes.
@testset "issue #18705" begin
S = sparse(Diagonal(1.0:5.0))
@test isa(sin.(S), SparseMatrixCSC)
end
@testset "issue #19225" begin
X = sparse([1 -1; -1 1])
for T in (Symmetric, Hermitian)
Y = T(copy(X))
_Y = similar(Y)
copyto!(_Y, Y)
@test _Y == Y
W = T(copy(X), :L)
copyto!(W, Y)
@test W.data == Y.data
@test W.uplo != Y.uplo
W[1,1] = 4
@test W == T(sparse([4 -1; -1 1]))
@test_throws ArgumentError (W[1,2] = 2)
@test Y + I == T(sparse([2 -1; -1 2]))
@test Y - I == T(sparse([0 -1; -1 0]))
@test Y * I == Y
@test Y .+ 1 == T(sparse([2 0; 0 2]))
@test Y .- 1 == T(sparse([0 -2; -2 0]))
@test Y * 2 == T(sparse([2 -2; -2 2]))
@test Y / 1 == Y
end
end
@testset "issue #19304" begin
@inferred hcat(sparse(rand(2,1)), I)
@inferred hcat(sparse(rand(2,1)), 1.0I)
@inferred hcat(sparse(rand(2,1)), Matrix(I, 2, 2))
@inferred hcat(sparse(rand(2,1)), Matrix(1.0I, 2, 2))
end
# Check that `broadcast` methods specialized for unary operations over
# `SparseMatrixCSC`s determine a reasonable return type.
@testset "issue #18974" begin
S = sparse(Diagonal(Int64(1):Int64(4)))
@test eltype(sin.(S)) == Float64
end
# Check calling of unary minus method specialized for SparseMatrixCSCs
@testset "issue #19503" begin
@test which(-, (SparseMatrixCSC,)).module == SparseArrays
end
@testset "issue #14398" begin
@test collect(view(sparse(I, 10, 10), 1:5, 1:5)') ≈ Matrix(I, 5, 5)
end
@testset "dropstored issue #20513" begin
x = sparse(rand(3,3))
SparseArrays.dropstored!(x, 1, 1)
@test x[1, 1] == 0.0
@test x.colptr == [1, 3, 6, 9]
SparseArrays.dropstored!(x, 2, 1)
@test x.colptr == [1, 2, 5, 8]
@test x[2, 1] == 0.0
SparseArrays.dropstored!(x, 2, 2)
@test x.colptr == [1, 2, 4, 7]
@test x[2, 2] == 0.0
SparseArrays.dropstored!(x, 2, 3)
@test x.colptr == [1, 2, 4, 6]
@test x[2, 3] == 0.0
end
@testset "setindex issue #20657" begin
local A = spzeros(3, 3)
I = [1, 1, 1]; J = [1, 1, 1]
A[I, 1] .= 1
@test nnz(A) == 1
A[1, J] .= 1
@test nnz(A) == 1
A[I, J] .= 1
@test nnz(A) == 1
end
@testset "show" begin
io = IOBuffer()
show(io, MIME"text/plain"(), sparse(Int64[1], Int64[1], [1.0]))
@test String(take!(io)) == "1×1 SparseArrays.SparseMatrixCSC{Float64,Int64} with 1 stored entry:\n [1, 1] = 1.0"
show(io, MIME"text/plain"(), spzeros(Float32, Int64, 2, 2))
@test String(take!(io)) == "2×2 SparseArrays.SparseMatrixCSC{Float32,Int64} with 0 stored entries"
ioc = IOContext(io, :displaysize => (5, 80), :limit => true)
show(ioc, MIME"text/plain"(), sparse(Int64[1], Int64[1], [1.0]))
@test String(take!(io)) == "1×1 SparseArrays.SparseMatrixCSC{Float64,Int64} with 1 stored entry:\n [1, 1] = 1.0"
show(ioc, MIME"text/plain"(), sparse(Int64[1, 1], Int64[1, 2], [1.0, 2.0]))
@test String(take!(io)) == "1×2 SparseArrays.SparseMatrixCSC{Float64,Int64} with 2 stored entries:\n ⋮"
# even number of rows
ioc = IOContext(io, :displaysize => (8, 80), :limit => true)
show(ioc, MIME"text/plain"(), sparse(Int64[1,2,3,4], Int64[1,1,2,2], [1.0,2.0,3.0,4.0]))
@test String(take!(io)) == string("4×2 SparseArrays.SparseMatrixCSC{Float64,Int64} with 4 stored entries:\n [1, 1]",
" = 1.0\n [2, 1] = 2.0\n [3, 2] = 3.0\n [4, 2] = 4.0")
show(ioc, MIME"text/plain"(), sparse(Int64[1,2,3,4,5], Int64[1,1,2,2,3], [1.0,2.0,3.0,4.0,5.0]))
@test String(take!(io)) == string("5×3 SparseArrays.SparseMatrixCSC{Float64,Int64} with 5 stored entries:\n [1, 1]",
" = 1.0\n ⋮\n [5, 3] = 5.0")
show(ioc, MIME"text/plain"(), sparse(fill(1.,5,3)))
@test String(take!(io)) == string("5×3 SparseArrays.SparseMatrixCSC{Float64,$Int} with 15 stored entries:\n [1, 1]",
" = 1.0\n ⋮\n [5, 3] = 1.0")
# odd number of rows
ioc = IOContext(io, :displaysize => (9, 80), :limit => true)
show(ioc, MIME"text/plain"(), sparse(Int64[1,2,3,4,5], Int64[1,1,2,2,3], [1.0,2.0,3.0,4.0,5.0]))
@test String(take!(io)) == string("5×3 SparseArrays.SparseMatrixCSC{Float64,Int64} with 5 stored entries:\n [1, 1]",
" = 1.0\n [2, 1] = 2.0\n [3, 2] = 3.0\n [4, 2] = 4.0\n [5, 3] = 5.0")
show(ioc, MIME"text/plain"(), sparse(Int64[1,2,3,4,5,6], Int64[1,1,2,2,3,3], [1.0,2.0,3.0,4.0,5.0,6.0]))
@test String(take!(io)) == string("6×3 SparseArrays.SparseMatrixCSC{Float64,Int64} with 6 stored entries:\n [1, 1]",
" = 1.0\n [2, 1] = 2.0\n ⋮\n [5, 3] = 5.0\n [6, 3] = 6.0")
show(ioc, MIME"text/plain"(), sparse(fill(1.,6,3)))
@test String(take!(io)) == string("6×3 SparseArrays.SparseMatrixCSC{Float64,$Int} with 18 stored entries:\n [1, 1]",
" = 1.0\n [2, 1] = 1.0\n ⋮\n [5, 3] = 1.0\n [6, 3] = 1.0")
ioc = IOContext(io, :displaysize => (9, 80))
show(ioc, MIME"text/plain"(), sparse(Int64[1,2,3,4,5,6], Int64[1,1,2,2,3,3], [1.0,2.0,3.0,4.0,5.0,6.0]))
@test String(take!(io)) == string("6×3 SparseArrays.SparseMatrixCSC{Float64,Int64} with 6 stored entries:\n [1, 1] = 1.0\n",
" [2, 1] = 2.0\n [3, 2] = 3.0\n [4, 2] = 4.0\n [5, 3] = 5.0\n [6, 3] = 6.0")
end
@testset "check buffers" for n in 1:3
local A
colptr = [1,2,3,4]
rowval = [1,2,3]
nzval1 = Int[]
nzval2 = [1,1,1]
A = SparseMatrixCSC(n, n, colptr, rowval, nzval1)
@test nnz(A) == n
@test_throws BoundsError A[n,n]
A = SparseMatrixCSC(n, n, colptr, rowval, nzval2)
@test nnz(A) == n
@test A == Matrix(I, n, n)
end
@testset "reverse search direction if step < 0 #21986" begin
local A, B
A = guardseed(1234) do
sprand(5, 5, 1/5)
end
A = max.(A, copy(A'))
LinearAlgebra.fillstored!(A, 1)
B = A[5:-1:1, 5:-1:1]
@test issymmetric(B)
end
@testset "similar should not alias the input sparse array" begin
a = sparse(rand(3,3) .+ 0.1)
b = similar(a, Float32, Int32)
c = similar(b, Float32, Int32)
SparseArrays.dropstored!(b, 1, 1)
@test length(c.rowval) == 9
@test length(c.nzval) == 9
end
@testset "similar with type conversion" begin
local A = sparse(1.0I, 5, 5)
@test size(similar(A, ComplexF64, Int)) == (5, 5)
@test typeof(similar(A, ComplexF64, Int)) == SparseMatrixCSC{ComplexF64, Int}
@test size(similar(A, ComplexF64, Int8)) == (5, 5)
@test typeof(similar(A, ComplexF64, Int8)) == SparseMatrixCSC{ComplexF64, Int8}
@test similar(A, ComplexF64,(6, 6)) == spzeros(ComplexF64, 6, 6)
@test convert(Matrix, A) == Array(A) # lolwut, are you lost, test?
end
@testset "similar for SparseMatrixCSC" begin
local A = sparse(1.0I, 5, 5)
# test similar without specifications (preserves stored-entry structure)
simA = similar(A)
@test typeof(simA) == typeof(A)
@test size(simA) == size(A)
@test simA.colptr == A.colptr
@test simA.rowval == A.rowval
@test length(simA.nzval) == length(A.nzval)
# test similar with entry type specification (preserves stored-entry structure)
simA = similar(A, Float32)
@test typeof(simA) == SparseMatrixCSC{Float32,eltype(A.colptr)}
@test size(simA) == size(A)
@test simA.colptr == A.colptr
@test simA.rowval == A.rowval
@test length(simA.nzval) == length(A.nzval)
# test similar with entry and index type specification (preserves stored-entry structure)
simA = similar(A, Float32, Int8)
@test typeof(simA) == SparseMatrixCSC{Float32,Int8}
@test size(simA) == size(A)
@test simA.colptr == A.colptr
@test simA.rowval == A.rowval
@test length(simA.nzval) == length(A.nzval)
# test similar with Dims{2} specification (preserves storage space only, not stored-entry structure)
simA = similar(A, (6,6))
@test typeof(simA) == typeof(A)
@test size(simA) == (6,6)
@test simA.colptr == fill(1, 6+1)
@test length(simA.rowval) == length(A.rowval)
@test length(simA.nzval) == length(A.nzval)
# test similar with entry type and Dims{2} specification (preserves storage space only)
simA = similar(A, Float32, (6,6))
@test typeof(simA) == SparseMatrixCSC{Float32,eltype(A.colptr)}
@test size(simA) == (6,6)
@test simA.colptr == fill(1, 6+1)
@test length(simA.rowval) == length(A.rowval)
@test length(simA.nzval) == length(A.nzval)
# test similar with entry type, index type, and Dims{2} specification (preserves storage space only)
simA = similar(A, Float32, Int8, (6,6))
@test typeof(simA) == SparseMatrixCSC{Float32, Int8}
@test size(simA) == (6,6)
@test simA.colptr == fill(1, 6+1)
@test length(simA.rowval) == length(A.rowval)
@test length(simA.nzval) == length(A.nzval)
# test similar with Dims{1} specification (preserves nothing)
simA = similar(A, (6,))
@test typeof(simA) == SparseVector{eltype(A.nzval),eltype(A.colptr)}
@test size(simA) == (6,)
@test length(simA.nzind) == 0
@test length(simA.nzval) == 0
# test similar with entry type and Dims{1} specification (preserves nothing)
simA = similar(A, Float32, (6,))
@test typeof(simA) == SparseVector{Float32,eltype(A.colptr)}
@test size(simA) == (6,)
@test length(simA.nzind) == 0
@test length(simA.nzval) == 0
# test similar with entry type, index type, and Dims{1} specification (preserves nothing)
simA = similar(A, Float32, Int8, (6,))
@test typeof(simA) == SparseVector{Float32,Int8}
@test size(simA) == (6,)
@test length(simA.nzind) == 0
@test length(simA.nzval) == 0
# test entry points to similar with entry type, index type, and non-Dims shape specification
@test similar(A, Float32, Int8, 6, 6) == similar(A, Float32, Int8, (6, 6))
@test similar(A, Float32, Int8, 6) == similar(A, Float32, Int8, (6,))
end
@testset "count specializations" begin
# count should throw for sparse arrays for which zero(eltype) does not exist
@test_throws MethodError count(SparseMatrixCSC(2, 2, Int[1, 2, 3], Int[1, 2], Any[true, true]))
@test_throws MethodError count(SparseVector(2, Int[1], Any[true]))
# count should run only over S.nzval[1:nnz(S)], not S.nzval in full
@test count(SparseMatrixCSC(2, 2, Int[1, 2, 3], Int[1, 2], Bool[true, true, true])) == 2
end
@testset "sparse findprev/findnext operations" begin
x = [0,0,0,0,1,0,1,0,1,1,0]
x_sp = sparse(x)
for i=1:length(x)
@test findnext(!iszero, x,i) == findnext(!iszero, x_sp,i)
@test findprev(!iszero, x,i) == findprev(!iszero, x_sp,i)
end
y = [0 0 0 0 0;
1 0 1 0 0;
1 0 0 0 1;
0 0 1 0 0;
1 0 1 1 0]
y_sp = sparse(y)
for i in keys(y)
@test findnext(!iszero, y,i) == findnext(!iszero, y_sp,i)
@test findprev(!iszero, y,i) == findprev(!iszero, y_sp,i)
end
z_sp = sparsevec(Dict(1=>1, 5=>1, 8=>0, 10=>1))
z = collect(z_sp)
for i in keys(z)
@test findnext(!iszero, z,i) == findnext(!iszero, z_sp,i)
@test findprev(!iszero, z,i) == findprev(!iszero, z_sp,i)
end
end
# #20711
@testset "vec returns a view" begin
local A = sparse(Matrix(1.0I, 3, 3))
local v = vec(A)
v[1] = 2
@test A[1,1] == 2
end
# #25943
@testset "operations on Integer subtypes" begin
s = sparse(UInt8[1, 2, 3], UInt8[1, 2, 3], UInt8[1, 2, 3])
@test sum(s, dims=2) == reshape([1, 2, 3], 3, 1)
end
@testset "mapreduce of sparse matrices with trailing elements in nzval #26534" begin
B = SparseMatrixCSC{Int,Int}(2, 3,
[1, 3, 4, 5],
[1, 2, 1, 2, 999, 999, 999, 999],
[1, 2, 3, 6, 999, 999, 999, 999]
)
@test maximum(B) == 6
end
_length_or_count_or_five(::Colon) = 5
_length_or_count_or_five(x::AbstractVector{Bool}) = count(x)
_length_or_count_or_five(x) = length(x)
@testset "nonscalar setindex!" begin
for I in (1:4, :, 5:-1:2, [], trues(5), setindex!(falses(5), true, 2), 3),
J in (2:4, :, 4:-1:1, [], setindex!(trues(5), false, 3), falses(5), 4)
V = sparse(1 .+ zeros(_length_or_count_or_five(I)*_length_or_count_or_five(J)))
M = sparse(1 .+ zeros(_length_or_count_or_five(I), _length_or_count_or_five(J)))
if I isa Integer && J isa Integer
@test_throws MethodError spzeros(5,5)[I, J] = V
@test_throws MethodError spzeros(5,5)[I, J] = M
continue
end
@test setindex!(spzeros(5, 5), V, I, J) == setindex!(zeros(5,5), V, I, J)
@test setindex!(spzeros(5, 5), M, I, J) == setindex!(zeros(5,5), M, I, J)
@test setindex!(spzeros(5, 5), Array(M), I, J) == setindex!(zeros(5,5), M, I, J)
@test setindex!(spzeros(5, 5), Array(V), I, J) == setindex!(zeros(5,5), V, I, J)
end
@test setindex!(spzeros(5, 5), 1:25, :) == setindex!(zeros(5,5), 1:25, :) == reshape(1:25, 5, 5)
@test setindex!(spzeros(5, 5), (25:-1:1).+spzeros(25), :) == setindex!(zeros(5,5), (25:-1:1).+spzeros(25), :) == reshape(25:-1:1, 5, 5)
for X in (1:20, sparse(1:20), reshape(sparse(1:20), 20, 1), (1:20) .+ spzeros(20, 1), collect(1:20), collect(reshape(1:20, 20, 1)))
@test setindex!(spzeros(5, 5), X, 6:25) == setindex!(zeros(5,5), 1:20, 6:25)
@test setindex!(spzeros(5, 5), X, 21:-1:2) == setindex!(zeros(5,5), 1:20, 21:-1:2)
b = trues(25)
b[[6, 8, 13, 15, 23]] .= false
@test setindex!(spzeros(5, 5), X, b) == setindex!(zeros(5, 5), X, b)
end
end
@testset "sparse transpose adjoint" begin
A = sprand(10, 10, 0.75)
@test A' == SparseMatrixCSC(A')
@test SparseMatrixCSC(A') isa SparseMatrixCSC
@test transpose(A) == SparseMatrixCSC(transpose(A))
@test SparseMatrixCSC(transpose(A)) isa SparseMatrixCSC
end
# PR 28242
@testset "forward and backward solving of transpose/adjoint triangular matrices" begin
rng = MersenneTwister(20180730)
n = 10
A = sprandn(rng, n, n, 0.8); A += Diagonal((1:n) - diag(A))
B = ones(n, 2)
for (Ttri, triul ) in ((UpperTriangular, triu), (LowerTriangular, tril))
for trop in (adjoint, transpose)
AT = Ttri(A) # ...Triangular wrapped
AC = triul(A) # copied part of A
ATa = trop(AT) # wrapped Adjoint
ACa = sparse(trop(AC)) # copied and adjoint
@test AT \ B ≈ AC \ B
@test ATa \ B ≈ ACa \ B
@test ATa \ sparse(B) == ATa \ B
@test Matrix(ATa) \ B ≈ ATa \ B
@test ATa * ( ATa \ B ) ≈ B
end
end
end
@testset "Issue #28369" begin
M = reshape([[1 2; 3 4], [9 10; 11 12], [5 6; 7 8], [13 14; 15 16]], (2,2))
MP = reshape([[1 2; 3 4], [5 6; 7 8], [9 10; 11 12], [13 14; 15 16]], (2,2))
S = sparse(M)
SP = sparse(MP)
@test isa(transpose(S), Transpose)
@test transpose(S) == copy(transpose(S))
@test Array(transpose(S)) == copy(transpose(M))
@test permutedims(S) == SP
@test permutedims(S, (2,1)) == SP
@test permutedims(S, (1,2)) == S
@test permutedims(S, (1,2)) !== S
MC = reshape([[(1+im) 2; 3 4], [9 10; 11 12], [(5 + 2im) 6; 7 8], [13 14; 15 16]], (2,2))
SC = sparse(MC)
@test isa(adjoint(SC), Adjoint)
@test adjoint(SC) == copy(adjoint(SC))
@test adjoint(MC) == copy(adjoint(SC))
end
@testset "Issue #28634" begin
a = SparseMatrixCSC{Int8, Int16}([1 2; 3 4])
na = SparseMatrixCSC(a)
@test typeof(a) === typeof(na)
end
#PR #29045
@testset "Issue #28934" begin
A = sprand(5,5,0.5)
D = Diagonal(rand(5))
C = copy(A)
m1 = @which mul!(C,A,D)
m2 = @which mul!(C,D,A)
@test m1.module == SparseArrays
@test m2.module == SparseArrays
end
end # module
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