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Add f(x) = A*x, A\x #11

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merged 6 commits into from
Aug 31, 2022
Merged

Add f(x) = A*x, A\x #11

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0415634
tests: refine type checks
alyst Jul 20, 2022
07956b7
add A*x to VEC_TO_VEC funcs
alyst Jul 20, 2022
094d17d
add A*X to MAT_TO_MAT funcs
alyst Jul 20, 2022
10f17ce
fix misplaced comment
alyst Jul 21, 2022
2b55856
add sparse matrix-based functions
alyst Aug 22, 2022
8af7790
remove hilbert_matrix() (unused)
alyst Aug 23, 2022
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3 changes: 2 additions & 1 deletion Project.toml
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Original file line number Diff line number Diff line change
Expand Up @@ -6,10 +6,11 @@ version = "0.1.1"

[deps]
LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"

[compat]
julia="1"
julia = "1"

[extras]
Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
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46 changes: 44 additions & 2 deletions src/DiffTests.jl
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Original file line number Diff line number Diff line change
@@ -1,6 +1,7 @@
module DiffTests

using LinearAlgebra: det, norm, dot, tr
using LinearAlgebra: det, norm, dot, tr, Diagonal, LowerTriangular, UpperTriangular
using SparseArrays: sparse
using Statistics: mean

#=
Expand Down Expand Up @@ -249,6 +250,43 @@ end
const INPLACE_ARRAY_TO_ARRAY_FUNCS = (chebyquad!, brown_almost_linear!, trigonometric!,
mutation_test_1!, mutation_test_2!)

############################
# f(x::VecOrMat)::VecOrMat #
############################

diag_matrix(::Type{T}, n::Integer) where T<:Real =
Diagonal(LinRange(convert(T, 0.01), convert(T, 100.0), n))
diag_matrix(x::VecOrMat) = diag_matrix(Float64, size(x, 1))

lehmer_matrix(::Type{T}, n::Integer) where T<:Real =
[convert(T, min(i, j)/max(i, j)) for i in 1:n, j in 1:n]
lehmer_matrix(x::VecOrMat) = lehmer_matrix(Float64, size(x, 1))

test_matrix = lehmer_matrix

# left multiplication by a constant matrix
diag_lmul(x::VecOrMat) = diag_matrix(x) * x
dense_lmul(x::VecOrMat) = test_matrix(x) * x
utriag_lmul(x::VecOrMat) = UpperTriangular(test_matrix(x)) * x
ltriag_lmul(x::VecOrMat) = LowerTriangular(test_matrix(x)) * x
sparse_lmul(x::VecOrMat) = sparse(test_matrix(x)) * x
sp_utriag_lmul(x::VecOrMat) = UpperTriangular(sparse(test_matrix(x))) * x
sp_ltriag_lmul(x::VecOrMat) = LowerTriangular(sparse(test_matrix(x))) * x

# left division by a constant matrix
diag_ldiv(x::VecOrMat) = diag_matrix(x) \ x
dense_ldiv(x::VecOrMat) = test_matrix(x) \ x
utriag_ldiv(x::VecOrMat) = UpperTriangular(test_matrix(x)) \ x
ltriag_ldiv(x::VecOrMat) = LowerTriangular(test_matrix(x)) \ x
sparse_ldiv(x::VecOrMat) = sparse(test_matrix(x)) \ x
sp_utriag_ldiv(x::VecOrMat) = UpperTriangular(sparse(test_matrix(x))) \ x
sp_ltriag_ldiv(x::VecOrMat) = LowerTriangular(sparse(test_matrix(x))) \ x

const VECTOR_TO_VECTOR_FUNCS = (diag_lmul, dense_lmul, utriag_lmul, ltriag_lmul,
sparse_lmul, sp_utriag_lmul, sp_ltriag_lmul,
diag_ldiv, utriag_ldiv, ltriag_ldiv,
sparse_ldiv, sp_utriag_ldiv, sp_ltriag_ldiv,)

######################
# f(x::Array)::Array #
######################
Expand All @@ -274,6 +312,10 @@ const ARRAY_TO_ARRAY_FUNCS = (-, chebyquad, brown_almost_linear, trigonometric,
# f(::Matrix)::Matrix #
#######################

const MATRIX_TO_MATRIX_FUNCS = (inv,)
const MATRIX_TO_MATRIX_FUNCS = (inv,
diag_lmul, dense_lmul, utriag_lmul, ltriag_lmul,
sparse_lmul, sp_utriag_lmul, sp_ltriag_lmul,
diag_ldiv, utriag_ldiv, ltriag_ldiv,
sparse_ldiv, sp_utriag_ldiv, sp_ltriag_ldiv,)

end # module
8 changes: 6 additions & 2 deletions test/runtests.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -34,12 +34,16 @@ for f in DiffTests.ARRAY_TO_ARRAY_FUNCS
@test isa(f(y), Array)
end

for f in DiffTests.VECTOR_TO_VECTOR_FUNCS
@test isa(f(y), Vector)
end

for f in DiffTests.MATRIX_TO_MATRIX_FUNCS
@test isa(f(A), Array)
@test isa(f(A), Matrix)
end

for f in DiffTests.BINARY_MATRIX_TO_MATRIX_FUNCS
@test isa(f(A, B), Array)
@test isa(f(A, B), Matrix)
end

# f! returns Nothing
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