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\ No newline at end of file diff --git a/docs/documenter_helpers.jl b/docs/documenter_helpers.jl index a64ee4327b16..2029dabca50d 100644 --- a/docs/documenter_helpers.jl +++ b/docs/documenter_helpers.jl @@ -3,6 +3,11 @@ # function Documenter.DocTests.eval_repl(block, sandbox::Module, meta::Dict, doc::Documenter.Documents.Document, page) src_lines = Documenter.Utilities.find_block_in_file(block.code, meta[:CurrentFile]) - println("page: $(Documenter.Utilities.locrepr(meta[:CurrentFile], src_lines))") - @time invoke(Documenter.DocTests.eval_repl, Tuple{Any,Any,Dict,Documenter.Documents.Document,Any}, block, sandbox, meta, doc, page) + # skip stats if there was a failure + if length(doc.internal.errors) > 0 + invoke(Documenter.DocTests.eval_repl, Tuple{Any,Any,Dict,Documenter.Documents.Document,Any}, block, sandbox, meta, doc, page) + else + println("page: $(Documenter.Utilities.locrepr(meta[:CurrentFile], src_lines))") + @time invoke(Documenter.DocTests.eval_repl, Tuple{Any,Any,Dict,Documenter.Documents.Document,Any}, block, sandbox, meta, doc, page) + end end diff --git a/docs/oscar_references.bib b/docs/oscar_references.bib index 7987440e4901..0b09317aa47a 100644 --- a/docs/oscar_references.bib +++ b/docs/oscar_references.bib @@ -1471,6 +1471,16 @@ @Misc{OEIS year = {2023} } +@Book{OM78, + author = {Oda, T. and Miyake, K.}, + title = {Lectures on Torus Embeddings and Applications}, + series = {Lectures on mathematics and physics}, + publisher = {Tata Institute of Fundamental Research}, + year = {1978}, + url = {https://books.google.de/books?id=e1YgAQAAIAAJ}, + lccn = {lc81901205} +} + @Article{OMdCS00, bibkey = {{OMdCS00}}, author = {Ojeda Martínez de Castilla, Ignacio and Sánchez, Ramón Peidra}, diff --git a/docs/src/AlgebraicGeometry/ToricVarieties/NormalToricVarieties.md b/docs/src/AlgebraicGeometry/ToricVarieties/NormalToricVarieties.md index b30d24332e8a..f20ecb72490e 100644 --- a/docs/src/AlgebraicGeometry/ToricVarieties/NormalToricVarieties.md +++ b/docs/src/AlgebraicGeometry/ToricVarieties/NormalToricVarieties.md @@ -96,6 +96,7 @@ blow_up(v::NormalToricVarietyType, I::MPolyIdeal; coordinate_name::String = "e", blow_up(v::NormalToricVarietyType, new_ray::AbstractVector{<:IntegerUnion}; coordinate_name::String = "e", set_attributes::Bool = true) blow_up(v::NormalToricVarietyType, n::Int; coordinate_name::String = "e", set_attributes::Bool = true) Base.:*(v::NormalToricVarietyType, w::NormalToricVarietyType; set_attributes::Bool = true) +proj(E::ToricLineBundle...) ``` diff --git a/docs/src/CommutativeAlgebra/ideals.md b/docs/src/CommutativeAlgebra/ideals.md index 0f72ac638773..fdfe621b5b7b 100644 --- a/docs/src/CommutativeAlgebra/ideals.md +++ b/docs/src/CommutativeAlgebra/ideals.md @@ -113,7 +113,6 @@ degree(I::MPolyIdeal) ```@docs intersect(I::MPolyIdeal{T}, Js::MPolyIdeal{T}...) where T -intersect(V::Vector{MPolyIdeal{T}}) where T ``` ### Ideal Quotients diff --git a/docs/src/DeveloperDocumentation/documentation.md b/docs/src/DeveloperDocumentation/documentation.md index a4ab8d63ac96..3893ca749dae 100644 --- a/docs/src/DeveloperDocumentation/documentation.md +++ b/docs/src/DeveloperDocumentation/documentation.md @@ -79,6 +79,12 @@ build_doc ``` Please also read the section below on repairing the `jldoctest`s using `build_doc`. +!!! note "Browser reports denied access" + Depending on your system, it might happen that the browser opens after a + successful build, but only informs you that the access to the file was denied. + This happens, for example, on Ubuntu which comes with a sandboxed Firefox. + In this case, using `build_doc` with `start_server = true` should circumvent + this problem. ### Automatically repairing `jldoctest`s diff --git a/docs/src/General/serialization.md b/docs/src/General/serialization.md index d2eb2c3cfec3..5e9630699814 100644 --- a/docs/src/General/serialization.md +++ b/docs/src/General/serialization.md @@ -14,7 +14,6 @@ threefold: ```@docs save load -is_basic_serialization_type ``` ## Objects that can be serialized diff --git a/experimental/FTheoryTools/src/LiteratureModels/create_index.jl b/experimental/FTheoryTools/src/LiteratureModels/create_index.jl index f859fa7cc59e..481b7c4244d0 100644 --- a/experimental/FTheoryTools/src/LiteratureModels/create_index.jl +++ b/experimental/FTheoryTools/src/LiteratureModels/create_index.jl @@ -14,7 +14,7 @@ # -paper title # * model location within paper # -section number that introduces model -# -equation number tht introduces model +# -equation number that introduces model # -page number that introduces model (in arXiv version of paper, currently) diff --git a/experimental/GModule/Cohomology.jl b/experimental/GModule/Cohomology.jl index d23e7f97f44b..54443e16ced3 100644 --- a/experimental/GModule/Cohomology.jl +++ b/experimental/GModule/Cohomology.jl @@ -2074,7 +2074,7 @@ end """ Let C be a G-module with G action on M. Then this function find the -subgroup of 'Aut(M) x Aut(G)' that is compatibel with the G-module +subgroup of 'Aut(M) x Aut(G)' that is compatible with the G-module structure: Let 'h: G to Aut(M)' from C, then '(alpha, gamma) in Aut(M) x Aut(G)' diff --git a/experimental/LieAlgebras/docs/doc.main b/experimental/LieAlgebras/docs/doc.main index 4ef6333281b7..14c179380ff1 100644 --- a/experimental/LieAlgebras/docs/doc.main +++ b/experimental/LieAlgebras/docs/doc.main @@ -3,6 +3,8 @@ "introduction.md", "lie_algebras.md", "ideals_and_subalgebras.md", + "lie_algebra_homs.md", "modules.md", + "module_homs.md", ], ] diff --git a/experimental/LieAlgebras/docs/src/lie_algebra_homs.md b/experimental/LieAlgebras/docs/src/lie_algebra_homs.md new file mode 100644 index 000000000000..5f34b186d1ca --- /dev/null +++ b/experimental/LieAlgebras/docs/src/lie_algebra_homs.md @@ -0,0 +1,57 @@ +```@meta +CurrentModule = Oscar +DocTestSetup = quote + using Oscar +end +``` + +# Lie algebra homomorphisms + +Homomorphisms of Lie algebras in Oscar are represented by the type +`LieAlgebraHom`. + +## Constructors + +Lie algebra homomorphisms $h: L_1 \to L_2$ are constructed by providing either +the images of the basis elements of $L_1$ or a $\dim L_1 \times \dim L_2$ matrix. + +```@docs +hom(::LieAlgebra{C}, ::LieAlgebra{C}, ::Vector{<:LieAlgebraElem{C}}; check::Bool=true) where {C<:RingElement} +hom(::LieAlgebra{C}, ::LieAlgebra{C}, ::MatElem{C}; check::Bool=true) where {C<:RingElement} +identity_map(::LieAlgebra) +``` + +## Functions + +The following functions are available for `LieAlgebraHom`s: + +### Basic properties +For a homomorphism $h: L_1 \to L_2$, `domain(h)` and `codomain(h)` return $L_1$ and $L_2$ respectively. + +```@docs +matrix(::LieAlgebraHom{<:LieAlgebra,<:LieAlgebra{C2}}) where {C2<:RingElement} +``` + +### Image +```@docs +image(::LieAlgebraHom, ::LieAlgebraElem) +image(::LieAlgebraHom) +image(::LieAlgebraHom, ::LieAlgebraIdeal) +image(::LieAlgebraHom, ::LieSubalgebra) +``` + +### Kernel +```@docs +kernel(::LieAlgebraHom) +``` + +### Composition +```@docs +compose(::LieAlgebraHom{T1,T2}, ::LieAlgebraHom{T2,T3}) where {T1<:LieAlgebra,T2<:LieAlgebra,T3<:LieAlgebra} +``` + +### Inverses +```@docs +is_isomorphism(::LieAlgebraHom) +inv(::LieAlgebraHom) +``` diff --git a/experimental/LieAlgebras/docs/src/lie_algebras.md b/experimental/LieAlgebras/docs/src/lie_algebras.md index aee87e7b3a15..9fd3c2fa85e1 100644 --- a/experimental/LieAlgebras/docs/src/lie_algebras.md +++ b/experimental/LieAlgebras/docs/src/lie_algebras.md @@ -63,16 +63,21 @@ The usual arithmetics, e.g. `+`, `-`, and `*`, are defined for `LieAlgebraElem`s ```@docs is_abelian(L::LieAlgebra) +is_nilpotent(L::LieAlgebra) +is_perfect(L::LieAlgebra) is_simple(L::LieAlgebra) +is_solvable(L::LieAlgebra) ``` ## More functions ```@docs -derived_algebra(L::LieAlgebra) center(L::LieAlgebra) centralizer(L::LieAlgebra, xs::AbstractVector{<:LieAlgebraElem}) centralizer(L::LieAlgebra, x::LieAlgebraElem) +derived_algebra(L::LieAlgebra) +derived_series(L::LieAlgebra) +lower_central_series(L::LieAlgebra) ``` ## Lie algebra constructors @@ -84,6 +89,7 @@ lie_algebra ## Classical Lie algebras ```@docs +abelian_lie_algebra(R::Ring, n::Int) general_linear_lie_algebra(R::Ring, n::Int) special_linear_lie_algebra(R::Ring, n::Int) special_orthogonal_lie_algebra(R::Ring, n::Int) diff --git a/experimental/LieAlgebras/docs/src/module_homs.md b/experimental/LieAlgebras/docs/src/module_homs.md new file mode 100644 index 000000000000..052bfc5df0a5 --- /dev/null +++ b/experimental/LieAlgebras/docs/src/module_homs.md @@ -0,0 +1,50 @@ +```@meta +CurrentModule = Oscar +DocTestSetup = quote + using Oscar +end +``` + +# Lie algebra module homomorphisms + +Homomorphisms of Lie algebra modules in Oscar are represented by the type +`LieAlgebraModuleHom`. + +## Constructors + +Homomorphisms of modules over the same Lie algebra +$h: V_1 \to V_2$ are constructed by providing either the images of the basis elements of $V_1$ +or a $\dim V_1 \times \dim V_2$ matrix. + +```@docs +hom(::LieAlgebraModule{C}, ::LieAlgebraModule{C}, ::Vector{<:LieAlgebraModuleElem{C}}; check::Bool=true) where {C<:RingElement} +hom(::LieAlgebraModule{C}, ::LieAlgebraModule{C}, ::MatElem{C}; check::Bool=true) where {C<:RingElement} +identity_map(::LieAlgebraModule) +``` + +## Functions + +The following functions are available for `LieAlgebraModuleHom`s: + +### Basic properties +For a homomorphism $h: V_1 \to V_2$, `domain(h)` and `codomain(h)` return $V_1$ and $V_2$ respectively. + +```@docs +matrix(::LieAlgebraModuleHom{<:LieAlgebraModule,<:LieAlgebraModule{C2}}) where {C2<:RingElement} +``` + +### Image +```@docs +image(::LieAlgebraModuleHom, ::LieAlgebraModuleElem) +``` + +### Composition +```@docs +compose(::LieAlgebraModuleHom{T1,T2}, ::LieAlgebraModuleHom{T2,T3}) where {T1<:LieAlgebraModule,T2<:LieAlgebraModule,T3<:LieAlgebraModule} +``` + +### Inverses +```@docs +is_isomorphism(::LieAlgebraModuleHom) +inv(::LieAlgebraModuleHom) +``` diff --git a/experimental/LieAlgebras/docs/src/modules.md b/experimental/LieAlgebras/docs/src/modules.md index 6eb63d303605..1a41783076a2 100644 --- a/experimental/LieAlgebras/docs/src/modules.md +++ b/experimental/LieAlgebras/docs/src/modules.md @@ -52,6 +52,7 @@ The module action is defined as `*`. ## Module constructors ```@docs +trivial_module(L::LieAlgebra, d::IntegerUnion=1) standard_module(::LinearLieAlgebra) dual(::LieAlgebraModule{C}) where {C<:RingElement} direct_sum(::LieAlgebraModule{C}, ::LieAlgebraModule{C}) where {C<:RingElement} diff --git a/experimental/LieAlgebras/src/AbstractLieAlgebra.jl b/experimental/LieAlgebras/src/AbstractLieAlgebra.jl index 4ba40124658b..c8cf34b1da92 100644 --- a/experimental/LieAlgebras/src/AbstractLieAlgebra.jl +++ b/experimental/LieAlgebras/src/AbstractLieAlgebra.jl @@ -285,3 +285,18 @@ function lie_algebra(R::Ring, dynkin::Tuple{Char,Int}; cached::Bool=true) return LO end + +function abelian_lie_algebra(::Type{T}, R::Ring, n::Int) where {T<:AbstractLieAlgebra} + basis = [(b = zero_matrix(R, n, n); b[i, i] = 1; b) for i in 1:n] + s = ["x_$(i)" for i in 1:n] + L = lie_algebra(R, n, basis, s; check=false) + + struct_consts = Matrix{SRow{elem_type(R)}}(undef, n, n) + for i in axes(struct_consts, 1), j in axes(struct_consts, 2) + struct_consts[i, j] = sparse_row(R) + end + + L = lie_algebra(R, struct_consts, s) + set_attribute!(L, :is_abelian => true) + return L +end diff --git a/experimental/LieAlgebras/src/LieAlgebra.jl b/experimental/LieAlgebras/src/LieAlgebra.jl index 25f80678db9a..1a5041fba620 100644 --- a/experimental/LieAlgebras/src/LieAlgebra.jl +++ b/experimental/LieAlgebras/src/LieAlgebra.jl @@ -52,6 +52,7 @@ basis(L::LieAlgebra) = [basis(L, i)::elem_type(L) for i in 1:dim(L)] Return the `i`-th basis element of the Lie algebra `L`. """ function basis(L::LieAlgebra, i::Int) + @req 1 <= i <= dim(L) "Index out of bounds." R = coefficient_ring(L) return L([(j == i ? one(R) : zero(R)) for j in 1:dim(L)]) end @@ -155,7 +156,7 @@ end @doc raw""" (L::LieAlgebra{C})(v::Vector{Int}) -> LieAlgebraElem{C} -Return the element of `L` with coefficent vector `v`. +Return the element of `L` with coefficient vector `v`. Fail, if `Int` cannot be coerced into the base ring of `L`. """ function (L::LieAlgebra)(v::Vector{Int}) @@ -165,7 +166,7 @@ end @doc raw""" (L::LieAlgebra{C})(v::Vector{C}) -> LieAlgebraElem{C} -Return the element of `L` with coefficent vector `v`. +Return the element of `L` with coefficient vector `v`. """ function (L::LieAlgebra{C})(v::Vector{C}) where {C<:RingElement} @req length(v) == dim(L) "Length of vector does not match dimension." @@ -187,7 +188,7 @@ end @doc raw""" (L::LieAlgebra{C})(v::SRow{C}) -> LieAlgebraElem{C} -Return the element of `L` with coefficent vector `v`. +Return the element of `L` with coefficient vector `v`. """ function (L::LieAlgebra{C})(v::SRow{C}) where {C<:RingElement} mat = dense_row(v, dim(L)) @@ -335,6 +336,48 @@ function centralizer(L::LieAlgebra, x::LieAlgebraElem) return centralizer(L, [x]) end +############################################################################### +# +# Derived and central series +# +############################################################################### + +@doc raw""" + derived_series(L::LieAlgebra) -> Vector{LieAlgebraIdeal} + +Return the derived series of `L`, i.e. the sequence of ideals +$L^{(0)} = L$, $L^{(i + 1)} = [L^{(i)}, L^{(i)}]$. +""" +function derived_series(L::LieAlgebra) + curr = ideal(L) + series = [curr] + while true + next = bracket(curr, curr) + dim(next) == dim(curr) && break + push!(series, next) + curr = next + end + return series +end + +@doc raw""" + lower_central_series(L::LieAlgebra) -> Vector{LieAlgebraIdeal} + +Return the lower central series of `L`, i.e. the sequence of ideals +$L^{(0)} = L$, $L^{(i + 1)} = [L, L^{(i)}]$. +""" +function lower_central_series(L::LieAlgebra) + curr = ideal(L) + series = [curr] + while true + next = bracket(L, curr) + dim(next) == dim(curr) && break + push!(series, next) + curr = next + end + return series +end + ############################################################################### # # Properties @@ -346,8 +389,28 @@ end Return `true` if `L` is abelian, i.e. $[L, L] = 0$. """ -function is_abelian(L::LieAlgebra) - return all(iszero, x * y for (x, y) in combinations(basis(L), 2)) +@attr Bool function is_abelian(L::LieAlgebra) + b = basis(L) + n = length(b) + return all(iszero, b[i] * b[j] for i in 1:n for j in i+1:n) +end + +@doc raw""" + is_nilpotent(L::LieAlgebra) -> Bool + +Return `true` if `L` is nilpotent, i.e. the lower central series of `L` terminates in $0$. +""" +@attr Bool function is_nilpotent(L::LieAlgebra) + return dim(lower_central_series(L)[end]) == 0 +end + +@doc raw""" + is_perfect(L::LieAlgebra) -> Bool + +Return `true` if `L` is perfect, i.e. $[L, L] = L$. +""" +@attr Bool function is_perfect(L::LieAlgebra) + return dim(derived_algebra(L)) == dim(L) end @doc raw""" @@ -358,11 +421,21 @@ Return `true` if `L` is simple, i.e. `L` is not abelian and has no non-trivial i !!! warning This function is not implemented yet. """ -function is_simple(L::LieAlgebra) +@attr Bool function is_simple(L::LieAlgebra) is_abelian(L) && return false + !is_perfect(L) && return false error("Not implemented.") # TODO end +@doc raw""" + is_solvable(L::LieAlgebra) -> Bool + +Return `true` if `L` is solvable, i.e. the derived series of `L` terminates in $0$. +""" +@attr Bool function is_solvable(L::LieAlgebra) + return dim(derived_series(L)[end]) == 0 +end + ############################################################################### # # Universal enveloping algebra diff --git a/experimental/LieAlgebras/src/LieAlgebraHom.jl b/experimental/LieAlgebras/src/LieAlgebraHom.jl new file mode 100644 index 000000000000..5805527ecf58 --- /dev/null +++ b/experimental/LieAlgebras/src/LieAlgebraHom.jl @@ -0,0 +1,303 @@ +@attributes mutable struct LieAlgebraHom{T1<:LieAlgebra,T2<:LieAlgebra} <: + Map{T1,T2,Hecke.HeckeMap,LieAlgebraHom} + header::MapHeader{T1,T2} + matrix::MatElem + + inverse_isomorphism::LieAlgebraHom{T2,T1} + + function LieAlgebraHom( + L1::LieAlgebra, L2::LieAlgebra, imgs::Vector{<:LieAlgebraElem}; check::Bool=true + ) + @req coefficient_ring(L1) === coefficient_ring(L2) "Coefficient rings must be the same" # for now at least + @req all(x -> parent(x) === L2, imgs) "Images must lie in the codomain" + @req length(imgs) == dim(L1) "Number of images must match dimension of domain" + + mat = zero_matrix(coefficient_ring(L2), dim(L1), dim(L2)) + for (i, img) in enumerate(imgs) + mat[i, :] = _matrix(img) + end + return LieAlgebraHom(L1, L2, mat; check) + end + + function LieAlgebraHom(L1::LieAlgebra, L2::LieAlgebra, mat::MatElem; check::Bool=true) + @req coefficient_ring(L1) === coefficient_ring(L2) "Coefficient rings must be the same" # for now at least + @req size(mat) == (dim(L1), dim(L2)) "Matrix size must match dimensions of domain and codomain" + h = new{typeof(L1),typeof(L2)}() + h.matrix = mat::dense_matrix_type(coefficient_ring(L2)) + h.header = MapHeader(L1, L2) + if check + for x1 in basis(L1), x2 in basis(L1) + @req h(x1) * h(x2) == h(x1 * x2) "Not a homomorphism" + end + end + return h + end +end + +############################################################################### +# +# Basic properties +# +############################################################################### + +@doc raw""" + matrix(h::LieAlgebraHom) -> MatElem + +Return the transformation matrix of `h` w.r.t. the bases of the domain and codomain. + +Note: The matrix operates on the coefficient vectors from the right. +""" +function matrix(h::LieAlgebraHom{<:LieAlgebra,<:LieAlgebra{C2}}) where {C2<:RingElement} + return (h.matrix)::dense_matrix_type(C2) +end + +############################################################################### +# +# String I/O +# +############################################################################### + +function Base.show(io::IO, ::MIME"text/plain", h::LieAlgebraHom) + io = pretty(io) + println(io, LowercaseOff(), "Lie algebra morphism") + print(io, Indent()) + println(io, "from ", Lowercase(), domain(h)) + print(io, "to ", Lowercase(), codomain(h)) + print(io, Dedent()) +end + +function Base.show(io::IO, h::LieAlgebraHom) + io = pretty(io) + if get(io, :supercompact, false) + print(io, LowercaseOff(), "Lie algebra morphism") + else + print(io, LowercaseOff(), "Lie algebra morphism: ") + print(io, Lowercase(), domain(h), " -> ", Lowercase(), codomain(h)) + end +end + +############################################################################### +# +# Comparison +# +############################################################################### + +function Base.:(==)(h1::LieAlgebraHom, h2::LieAlgebraHom) + return domain(h1) === domain(h2) && + codomain(h1) === codomain(h2) && + matrix(h1) == matrix(h2) +end + +function Base.hash(f::LieAlgebraHom, h::UInt) + b = 0xc023adc432e006be % UInt + h = hash(objectid(domain(f)), h) + h = hash(objectid(codomain(f)), h) + h = hash(matrix(f), h) + return xor(h, b) +end + +############################################################################### +# +# Image and kernel +# +############################################################################### + +@doc raw""" + image(h::LieAlgebraHom, x::LieAlgebraElem) -> LieAlgebraElem + +Return the image of `x` under `h`. +""" +function image(h::LieAlgebraHom, x::LieAlgebraElem) + @req parent(x) === domain(h) "Domain mismatch" + return codomain(h)(_matrix(x) * matrix(h)) +end + +@doc raw""" + image(h::LieAlgebraHom) -> LieSubalgebra + +Return the image of `h` as a Lie subalgebra of the codomain. +""" +function image(h::LieAlgebraHom) + return sub(codomain(h), [image(h, x) for x in basis(domain(h))]) +end + +@doc raw""" + image(h::LieAlgebraHom, I::LieAlgebraIdeal) -> LieSubalgebra + +Return the image of `I` under `h` as a Lie subalgebra of the codomain. +""" +function image(h::LieAlgebraHom, I::LieAlgebraIdeal) + @req base_lie_algebra(I) === domain(h) "Domain mismatch" + return sub(codomain(h), [image(h, x) for x in basis(I)]) +end + +@doc raw""" + image(h::LieAlgebraHom, S::LieSubalgebra) -> LieSubalgebra + +Return the image of `S` under `h` as a Lie subalgebra of the codomain. +""" +function image(h::LieAlgebraHom, S::LieSubalgebra) + @req base_lie_algebra(S) === domain(h) "Domain mismatch" + return sub(codomain(h), [image(h, x) for x in basis(S)]) +end + +@doc raw""" + kernel(h::LieAlgebraHom) -> LieAlgebraIdeal + +Return the kernel of `h` as an ideal of the domain. +""" +function kernel(h::LieAlgebraHom) + ker_dim, ker_b = left_kernel(matrix(h)) + return ideal(domain(h), [domain(h)(ker_b[i, :]) for i in 1:ker_dim]) +end + +############################################################################### +# +# Map operations +# +############################################################################### + +@doc raw""" + compose(f::LieAlgebraHom, g::LieAlgebraHom) -> LieAlgebraHom + +Return the composition of `f` and `g`, i.e. the homomorphism `h` such that +`h(x) = g(f(x))` for all `x` in the domain of `f`. +The codomain of `f` must be identical to the domain of `g`. +""" +function compose( + f::LieAlgebraHom{T1,T2}, g::LieAlgebraHom{T2,T3} +) where {T1<:LieAlgebra,T2<:LieAlgebra,T3<:LieAlgebra} + @req codomain(f) === domain(g) "Composition: Maps are not compatible" + h = LieAlgebraHom(domain(f), codomain(g), matrix(f) * matrix(g); check=false) + if isdefined(f, :inverse_isomorphism) && isdefined(g, :inverse_isomorphism) + h.inverse_isomorphism = LieAlgebraHom( + codomain(g), + domain(f), + matrix(g.inverse_isomorphism) * matrix(f.inverse_isomorphism); + check=false, + ) + h.inverse_isomorphism.inverse_isomorphism = h + end + return h +end + +@doc raw""" + inv(h::LieAlgebraHom) -> LieAlgebraHom + +Return the inverse of `h`. +Requires `h` to be an isomorphism. +""" +function inv(h::LieAlgebraHom) + @req is_isomorphism(h) "Homomorphism must be invertible" + return h.inverse_isomorphism +end + +@doc raw""" + is_isomorphism(h::LieAlgebraHom) -> Bool + +Return `true` if `h` is an isomorphism. +This function tries to invert the transformation matrix of `h` and caches the result. +The inverse isomorphism can be cheaply accessed via `inv(h)` after calling this function. +""" +@attr Bool function is_isomorphism(h::LieAlgebraHom) + isdefined(h, :inverse_isomorphism) && return true + fl, invmat = is_invertible_with_inverse(matrix(h)) + fl || return false + h.inverse_isomorphism = LieAlgebraHom(codomain(h), domain(h), invmat; check=false) + h.inverse_isomorphism.inverse_isomorphism = h + return true +end + +############################################################################### +# +# Constructor +# +############################################################################### + +@doc raw""" + hom(L1::LieAlgebra, L2::LieAlgebra, imgs::Vector{<:LieAlgebraElem}; check::Bool=true) -> LieAlgebraHom + +Construct the homomorphism from `L1` to `L2` by sending the `i`-th basis element of `L1` +to `imgs[i]` and extending linearly. +All elements of `imgs` must lie in `L2`. + +By setting `check=false`, the linear map is not checked to be compatible with the Lie bracket. + +# Examples +```jldoctest +julia> L1 = special_linear_lie_algebra(QQ, 2); + +julia> L2 = special_linear_lie_algebra(QQ, 3); + +julia> h = hom(L1, L2, [basis(L2, 1), basis(L2, 4), basis(L2, 7)]) # embed sl_2 into sl_3 +Lie algebra morphism + from special linear Lie algebra of degree 2 over QQ + to special linear Lie algebra of degree 3 over QQ + +julia> [(x, h(x)) for x in basis(L1)] +3-element Vector{Tuple{LinearLieAlgebraElem{QQFieldElem}, LinearLieAlgebraElem{QQFieldElem}}}: + (e_1_2, e_1_2) + (f_1_2, f_1_2) + (h_1, h_1) +``` +""" +function hom( + L1::LieAlgebra{C}, L2::LieAlgebra{C}, imgs::Vector{<:LieAlgebraElem{C}}; check::Bool=true +) where {C<:RingElement} + return LieAlgebraHom(L1, L2, imgs; check) +end + +@doc raw""" + hom(L1::LieAlgebra, L2::LieAlgebra, mat::MatElem; check::Bool=true) -> LieAlgebraHom + +Construct the homomorphism from `L1` to `L2` by acting with the matrix `mat` +from the right on the coefficient vector w.r.t. the basis of `L1`. +`mat` must be a matrix of size `dim(L1) \times dim(L2)` over `coefficient_ring(L2)`. + +By setting `check=false`, the linear map is not checked to be compatible with the Lie bracket. + +# Examples +```jldoctest +julia> L1 = special_linear_lie_algebra(QQ, 2); + +julia> L2 = general_linear_lie_algebra(QQ, 2); + +julia> h = hom(L1, L2, matrix(QQ, [0 1 0 0; 0 0 1 0; 1 0 0 -1])) +Lie algebra morphism + from special linear Lie algebra of degree 2 over QQ + to general linear Lie algebra of degree 2 over QQ + +julia> [(x, h(x)) for x in basis(L1)] +3-element Vector{Tuple{LinearLieAlgebraElem{QQFieldElem}, LinearLieAlgebraElem{QQFieldElem}}}: + (e_1_2, x_1_2) + (f_1_2, x_2_1) + (h_1, x_1_1 - x_2_2) +``` +""" +function hom( + L1::LieAlgebra{C}, L2::LieAlgebra{C}, mat::MatElem{C}; check::Bool=true +) where {C<:RingElement} + return LieAlgebraHom(L1, L2, mat; check) +end + +@doc raw""" + identity_map(L::LieAlgebra) -> LieAlgebraHom + +Construct the identity map on `L`. + +# Examples +```jldoctest +julia> L = special_linear_lie_algebra(QQ, 3) +Special linear Lie algebra of degree 3 + of dimension 8 +over rational field + +julia> identity_map(L) +Lie algebra morphism + from special linear Lie algebra of degree 3 over QQ + to special linear Lie algebra of degree 3 over QQ +``` +""" +function identity_map(L::LieAlgebra) + return hom(L, L, basis(L); check=false) +end diff --git a/experimental/LieAlgebras/src/LieAlgebraIdeal.jl b/experimental/LieAlgebras/src/LieAlgebraIdeal.jl index 8f0ab52dbfa2..3aa17b358a78 100644 --- a/experimental/LieAlgebras/src/LieAlgebraIdeal.jl +++ b/experimental/LieAlgebras/src/LieAlgebraIdeal.jl @@ -19,12 +19,13 @@ return new{C,LieT}(L, gens, basis_elems, basis_matrix) else basis_matrix = matrix(coefficient_ring(L), 0, dim(L), C[]) - todo = copy(gens) - while !isempty(todo) - g = pop!(todo) + gens = unique(g for g in gens if !iszero(g)) + left = copy(gens) + while !isempty(left) + g = pop!(left) can_solve(basis_matrix, _matrix(g); side=:left) && continue for b in basis(L) - push!(todo, b * g) + push!(left, b * g) end basis_matrix = vcat(basis_matrix, _matrix(g)) rank = rref!(basis_matrix) @@ -117,7 +118,7 @@ function Base.show(io::IO, I::LieAlgebraIdeal) if get(io, :supercompact, false) print(io, LowercaseOff(), "Lie algebra ideal") else - print(io, LowercaseOff(), "Lie algebra ideal over ", Lowercase()) + print(io, LowercaseOff(), "Lie algebra ideal of dimension $(dim(I)) over ", Lowercase()) print(IOContext(io, :supercompact => true), base_lie_algebra(I)) end end @@ -190,6 +191,13 @@ function bracket( return ideal(base_lie_algebra(I1), [x * y for x in gens(I1) for y in gens(I2)]) end +function bracket( + L::LieAlgebra{C}, I::LieAlgebraIdeal{C,LieT} +) where {C<:RingElement,LieT<:LieAlgebraElem{C}} + @req L === base_lie_algebra(I) "Incompatible Lie algebras." + return bracket(ideal(L), I) +end + ############################################################################### # # Important ideals and subalgebras @@ -233,10 +241,14 @@ end @doc raw""" lie_algebra(I::LieAlgebraIdeal) -> LieAlgebra -Return `I` as a Lie algebra. +Return `I` as a Lie algebra `LI`, together with an embedding `LI -> L`, +where `L` is the Lie algebra where `I` lives in. """ function lie_algebra(I::LieAlgebraIdeal) - return lie_algebra(basis(I)) + LI = lie_algebra(basis(I)) + L = base_lie_algebra(I) + emb = hom(LI, L, basis(I)) + return LI, emb end @doc raw""" diff --git a/experimental/LieAlgebras/src/LieAlgebraModule.jl b/experimental/LieAlgebras/src/LieAlgebraModule.jl index 3e5e2dd9201e..07a32fd6f9e4 100644 --- a/experimental/LieAlgebras/src/LieAlgebraModule.jl +++ b/experimental/LieAlgebras/src/LieAlgebraModule.jl @@ -72,16 +72,17 @@ dim(V::LieAlgebraModule) = V.dim Return a basis of the Lie algebra module `V`. """ -basis(L::LieAlgebraModule) = [basis(L, i)::elem_type(L) for i in 1:dim(L)] +basis(V::LieAlgebraModule) = [basis(V, i)::elem_type(V) for i in 1:dim(V)] @doc raw""" basis(V::LieAlgebraModule{C}, i::Int) -> LieAlgebraModuleElem{C} Return the `i`-th basis element of the Lie algebra module `V`. """ -function basis(L::LieAlgebraModule, i::Int) - R = coefficient_ring(L) - return L([(j == i ? one(R) : zero(R)) for j in 1:dim(L)]) +function basis(V::LieAlgebraModule, i::Int) + @req 1 <= i <= dim(V) "Index out of bounds." + R = coefficient_ring(V) + return V([(j == i ? one(R) : zero(R)) for j in 1:dim(V)]) end @doc raw""" @@ -154,58 +155,59 @@ function Base.show(io::IO, ::MIME"text/plain", V::LieAlgebraModule) io = pretty(io) println(io, _module_type_to_string(get_attribute(V, :type, :unknown))) println(io, Indent(), "of dimension $(dim(V))") - _show_inner(io, V) + if is_dual(V) || + is_direct_sum(V) || + is_tensor_product(V) || + is_exterior_power(V) || + is_symmetric_power(V) || + is_tensor_power(V) + _show_inner(io, V) + end print(io, Dedent()) print(io, "over ") print(io, Lowercase(), base_lie_algebra(V)) end -function _show_semi_compact(io::IO, V::LieAlgebraModule) - io = pretty(io) - println(io, Lowercase(), _module_type_to_string(get_attribute(V, :type, :unknown))) - print(io, Indent()) - _show_inner(io, V) - print(io, Dedent()) -end - function _show_inner(io::IO, V::LieAlgebraModule) type = get_attribute(V, :type, :unknown) if type == :standard_module - # nothing + println(io, "standard module") elseif type == :dual - print(io, "dual of ", Lowercase()) - _show_semi_compact(io, base_module(V)) + println(io, "dual of ", Lowercase()) + print(io, Indent()) + _show_inner(io, base_module(V)) + print(io, Dedent()) elseif type == :direct_sum - println(io, "with direct summands") + println(io, "direct sum with direct summands") print(io, Indent()) for W in base_modules(V) - _show_semi_compact(io, W) + _show_inner(io, W) end print(io, Dedent()) elseif type == :tensor_product - println(io, "with tensor factors") + println(io, "tensor product with tensor factors") print(io, Indent()) for W in base_modules(V) - _show_semi_compact(io, W) + _show_inner(io, W) end print(io, Dedent()) elseif type == :exterior_power - println(io, "$(get_attribute(V, :power))-th exterior power of ") + println(io, "$(ordinal_number_string(get_attribute(V, :power))) exterior power of") print(io, Indent()) - _show_semi_compact(io, base_module(V)) + _show_inner(io, base_module(V)) print(io, Dedent()) elseif type == :symmetric_power - println(io, "$(get_attribute(V, :power))-th symmetric power of ") + println(io, "$(ordinal_number_string(get_attribute(V, :power))) symmetric power of") print(io, Indent()) - _show_semi_compact(io, base_module(V)) + _show_inner(io, base_module(V)) print(io, Dedent()) elseif type == :tensor_power - println(io, "$(get_attribute(V, :power))-th tensor power of ") + println(io, "$(ordinal_number_string(get_attribute(V, :power))) tensor power of") print(io, Indent()) - _show_semi_compact(io, base_module(V)) + _show_inner(io, base_module(V)) print(io, Dedent()) else - error("Unknown module type.") + println(io, "abstract module") end end @@ -281,7 +283,7 @@ end @doc raw""" (V::LieAlgebraModule{C})(v::Vector{Int}) -> LieAlgebraModuleElem{C} -Return the element of `V` with coefficent vector `v`. +Return the element of `V` with coefficient vector `v`. Fails, if `Int` cannot be coerced into the base ring of `L`. """ function (V::LieAlgebraModule)(v::Vector{Int}) @@ -291,7 +293,7 @@ end @doc raw""" (V::LieAlgebraModule{C})(v::Vector{C}) -> LieAlgebraModuleElem{C} -Return the element of `V` with coefficent vector `v`. +Return the element of `V` with coefficient vector `v`. """ function (V::LieAlgebraModule{C})(v::Vector{C}) where {C<:RingElement} @req length(v) == dim(V) "Length of vector does not match dimension." @@ -314,7 +316,7 @@ end @doc raw""" (V::LieAlgebraModule{C})(v::SRow{C}) -> LieAlgebraModuleElem{C} -Return the element of `V` with coefficent vector `v`. +Return the element of `V` with coefficient vector `v`. """ function (V::LieAlgebraModule{C})(v::SRow{C}) where {C<:RingElement} mat = dense_row(v, dim(V)) @@ -365,22 +367,23 @@ function (V::LieAlgebraModule{C})( elseif is_exterior_power(V) || is_symmetric_power(V) || is_tensor_power(V) @req length(a) == get_attribute(V, :power) "Length of vector does not match power." @req all(x -> parent(x) === base_module(V), a) "Incompatible modules." - mat = zero_matrix(coefficient_ring(V), 1, dim(V)) + R = coefficient_ring(V) + mat = zero_matrix(R, 1, dim(V)) if is_exterior_power(V) for (i, _inds) in enumerate(get_attribute(V, :ind_map)), (inds, sgn) in permutations_with_sign(_inds) - mat[1, i] += sgn * prod(a[j].mat[k] for (j, k) in enumerate(inds)) + mat[1, i] += sgn * prod(a[j].mat[k] for (j, k) in enumerate(inds); init=one(R)) end elseif is_symmetric_power(V) for (i, _inds) in enumerate(get_attribute(V, :ind_map)), inds in unique(permutations(_inds)) - mat[1, i] += prod(a[j].mat[k] for (j, k) in enumerate(inds)) + mat[1, i] += prod(a[j].mat[k] for (j, k) in enumerate(inds); init=one(R)) end elseif is_tensor_power(V) for (i, inds) in enumerate(get_attribute(V, :ind_map)) - mat[1, i] += prod(a[j].mat[k] for (j, k) in enumerate(inds)) + mat[1, i] += prod(a[j].mat[k] for (j, k) in enumerate(inds); init=one(R)) end end return LieAlgebraModuleElem{C}(V, mat) @@ -679,12 +682,51 @@ function highest_weight_module(L::LieAlgebra, weight::Vector{Int}) return V end +@doc raw""" + trivial_module(L::LieAlgebra{C}, d=1) -> LieAlgebraModule{C} + +Construct the `d`-dimensional module of the Lie algebra `L` with trivial action. + +# Examples +```jldoctest +julia> L = special_linear_lie_algebra(QQ, 3); + +julia> trivial_module(L) +Abstract Lie algebra module + of dimension 1 +over special linear Lie algebra of degree 3 over QQ +``` +""" +function trivial_module(L::LieAlgebra, d::IntegerUnion=1) + @req d >= 0 "Dimension must be non-negative." + dim_triv_V = Int(d) + transformation_matrices = [ + zero_matrix(coefficient_ring(L), dim_triv_V, dim_triv_V) for _ in 1:dim(L) + ] + s = [Symbol("v_$(i)") for i in 1:dim_triv_V] + triv_V = LieAlgebraModule{elem_type(coefficient_ring(L))}( + L, dim_triv_V, transformation_matrices, s; check=false + ) + # set_attribute!(triv_V, :type => :trivial) + return triv_V +end + @doc raw""" standard_module(L::LinearLieAlgebra{C}) -> LieAlgebraModule{C} Construct the standard module of the linear Lie algebra `L`. If `L` is a Lie subalgebra of $\mathfrak{gl}_n(R)$, then the standard module is $R^n$ with the action of $L$ given by left multiplication. + +# Examples +```jldoctest +julia> L = special_linear_lie_algebra(QQ, 3); + +julia> standard_module(L) +Standard module + of dimension 3 +over special linear Lie algebra of degree 3 over QQ +``` """ function standard_module(L::LinearLieAlgebra) dim_std_V = L.n @@ -701,6 +743,21 @@ end dual(V::LieAlgebraModule{C}) -> LieAlgebraModule{C} Construct the dual module of `V`. + +# Examples +```jldoctest +julia> L = special_linear_lie_algebra(QQ, 3); + +julia> V = exterior_power(standard_module(L), 2); # some module + +julia> dual(V) +Dual module + of dimension 3 + dual of + 2nd exterior power of + standard module +over special linear Lie algebra of degree 3 over QQ +``` """ function dual(V::LieAlgebraModule{C}) where {C<:RingElement} L = base_lie_algebra(V) @@ -728,6 +785,25 @@ Base.:^(V::LieAlgebraModule, ::typeof(Base.:*)) = dual(V) ⊕(V::LieAlgebraModule{C}...) -> LieAlgebraModule{C} Construct the direct sum of the modules `V...`. + +# Examples +```jldoctest +julia> L = special_linear_lie_algebra(QQ, 3); + +julia> V1 = exterior_power(standard_module(L), 2); # some module + +julia> V2 = symmetric_power(standard_module(L), 3); # some module + +julia> direct_sum(V1, V2) +Direct sum module + of dimension 13 + direct sum with direct summands + 2nd exterior power of + standard module + 3rd symmetric power of + standard module +over special linear Lie algebra of degree 3 over QQ +``` """ function direct_sum( V::LieAlgebraModule{C}, Vs::LieAlgebraModule{C}... @@ -764,6 +840,25 @@ end ⊗(V::LieAlgebraModule{C}...) -> LieAlgebraModule{C} Construct the tensor product of the modules `V...`. + +# Examples +```jldoctest +julia> L = special_linear_lie_algebra(QQ, 3); + +julia> V1 = exterior_power(standard_module(L), 2); # some module + +julia> V2 = symmetric_power(standard_module(L), 3); # some module + +julia> tensor_product(V1, V2) +Tensor product module + of dimension 30 + tensor product with tensor factors + 2nd exterior power of + standard module + 3rd symmetric power of + standard module +over special linear Lie algebra of degree 3 over QQ +``` """ function tensor_product( V::LieAlgebraModule{C}, Vs::LieAlgebraModule{C}... @@ -814,8 +909,24 @@ end exterior_power(V::LieAlgebraModule{C}, k::Int) -> LieAlgebraModule{C} Construct the `k`-th exterior power $\bigwedge^k (V)$ of the module `V`. + +# Examples +```jldoctest +julia> L = special_linear_lie_algebra(QQ, 3); + +julia> V = symmetric_power(standard_module(L), 3); # some module + +julia> exterior_power(V, 2) +Exterior power module + of dimension 45 + 2nd exterior power of + 3rd symmetric power of + standard module +over special linear Lie algebra of degree 3 over QQ +``` """ function exterior_power(V::LieAlgebraModule{C}, k::Int) where {C<:RingElement} + @req k >= 0 "Non-negative exponent needed" L = base_lie_algebra(V) dim_pow_V = binomial(dim(V), k) ind_map = collect(combinations(1:dim(V), k)) @@ -833,7 +944,9 @@ function exterior_power(V::LieAlgebraModule{C}, k::Int) where {C<:RingElement} basis_change_T2E * transformation_matrix(T, i) * basis_change_E2T end - s = if k == 1 + s = if k == 0 + [Symbol("1")] + elseif k == 1 symbols(V) elseif is_standard_module(V) [Symbol(join(s, " ∧ ")) for s in combinations(symbols(V), k)] @@ -852,8 +965,24 @@ end symmetric_power(V::LieAlgebraModule{C}, k::Int) -> LieAlgebraModule{C} Construct the `k`-th symmetric power $S^k (V)$ of the module `V`. + +# Examples +```jldoctest +julia> L = special_linear_lie_algebra(QQ, 3); + +julia> V = exterior_power(standard_module(L), 2); # some module + +julia> symmetric_power(V, 3) +Symmetric power module + of dimension 10 + 3rd symmetric power of + 2nd exterior power of + standard module +over special linear Lie algebra of degree 3 over QQ +``` """ function symmetric_power(V::LieAlgebraModule{C}, k::Int) where {C<:RingElement} + @req k >= 0 "Non-negative exponent needed" L = base_lie_algebra(V) dim_pow_V = binomial(dim(V) + k - 1, k) ind_map = collect(multicombinations(1:dim(V), k)) @@ -871,7 +1000,9 @@ function symmetric_power(V::LieAlgebraModule{C}, k::Int) where {C<:RingElement} basis_change_T2S * transformation_matrix(T, i) * basis_change_S2T end - s = if k == 1 + s = if k == 0 + [Symbol("1")] + elseif k == 1 symbols(V) elseif is_standard_module(V) [ @@ -910,18 +1041,39 @@ end tensor_power(V::LieAlgebraModule{C}, k::Int) -> LieAlgebraModule{C} Construct the `k`-th tensor power $T^k (V)$ of the module `V`. + +# Examples +```jldoctest +julia> L = special_linear_lie_algebra(QQ, 3); + +julia> V = exterior_power(standard_module(L), 2); # some module + +julia> tensor_power(V, 3) +Tensor power module + of dimension 27 + 3rd tensor power of + 2nd exterior power of + standard module +over special linear Lie algebra of degree 3 over QQ +``` """ function tensor_power(V::LieAlgebraModule{C}, k::Int) where {C<:RingElement} + @req k >= 0 "Non-negative exponent needed" L = base_lie_algebra(V) dim_pow_V = dim(V)^k - ind_map = reverse.(collect(ProductIterator(1:dim(V), k))) + ind_map = k > 0 ? reverse.(collect(ProductIterator(1:dim(V), k))) : [Int[]] transformation_matrices = map(1:dim(L)) do i y = transformation_matrix(V, i) - sum(reduce(kronecker_product, (j == i ? y : one(y) for j in 1:k)) for i in 1:k) + sum( + reduce(kronecker_product, (j == i ? y : one(y) for j in 1:k)) for i in 1:k; + init=zero_matrix(coefficient_ring(V), dim_pow_V, dim_pow_V), + ) end - s = if k == 1 + s = if k == 0 + [Symbol("1")] + elseif k == 1 symbols(V) elseif is_standard_module(V) [Symbol(join(s, " ⊗ ")) for s in reverse.(ProductIterator(symbols(V), k))] diff --git a/experimental/LieAlgebras/src/LieAlgebraModuleHom.jl b/experimental/LieAlgebras/src/LieAlgebraModuleHom.jl new file mode 100644 index 000000000000..fcbe1e8e8fc0 --- /dev/null +++ b/experimental/LieAlgebras/src/LieAlgebraModuleHom.jl @@ -0,0 +1,287 @@ +@attributes mutable struct LieAlgebraModuleHom{T1<:LieAlgebraModule,T2<:LieAlgebraModule} <: + Map{T1,T2,Hecke.HeckeMap,LieAlgebraModuleHom} + header::MapHeader{T1,T2} + matrix::MatElem + + inverse_isomorphism::LieAlgebraModuleHom{T2,T1} + + function LieAlgebraModuleHom( + V1::LieAlgebraModule, + V2::LieAlgebraModule, + imgs::Vector{<:LieAlgebraModuleElem}; + check::Bool=true, + ) + @req base_lie_algebra(V1) === base_lie_algebra(V2) "Lie algebras must be the same" # for now at least + @req all(x -> parent(x) === V2, imgs) "Images must lie in the codomain" + @req length(imgs) == dim(V1) "Number of images must match dimension of domain" + + mat = zero_matrix(coefficient_ring(V2), dim(V1), dim(V2)) + for (i, img) in enumerate(imgs) + mat[i, :] = _matrix(img) + end + return LieAlgebraModuleHom(V1, V2, mat; check) + end + + function LieAlgebraModuleHom( + V1::LieAlgebraModule, V2::LieAlgebraModule, mat::MatElem; check::Bool=true + ) + @req base_lie_algebra(V1) === base_lie_algebra(V2) "Lie algebras must be the same" # for now at least + @req size(mat) == (dim(V1), dim(V2)) "Matrix size must match dimensions of domain and codomain" + h = new{typeof(V1),typeof(V2)}() + h.matrix = mat::dense_matrix_type(coefficient_ring(V2)) + h.header = MapHeader(V1, V2) + if check + for x in basis(base_lie_algebra(V1)), v in basis(V1) + @req x * h(v) == h(x * v) "Not a homomorphism" + end + end + return h + end +end + +############################################################################### +# +# Basic properties +# +############################################################################### + +@doc raw""" + matrix(h::LieAlgebraModuleHom) -> MatElem + +Return the transformation matrix of `h` w.r.t. the bases of the domain and codomain. + +Note: The matrix operates on the coefficient vectors from the right. +""" +function matrix( + h::LieAlgebraModuleHom{<:LieAlgebraModule,<:LieAlgebraModule{C2}} +) where {C2<:RingElement} + return (h.matrix)::dense_matrix_type(C2) +end + +############################################################################### +# +# String I/O +# +############################################################################### + +function Base.show(io::IO, ::MIME"text/plain", h::LieAlgebraModuleHom) + io = pretty(io) + println(io, LowercaseOff(), "Lie algebra module morphism") + print(io, Indent()) + println(io, "from ", Lowercase(), domain(h)) + print(io, "to ", Lowercase(), codomain(h)) + print(io, Dedent()) +end + +function Base.show(io::IO, h::LieAlgebraModuleHom) + io = pretty(io) + if get(io, :supercompact, false) + print(io, LowercaseOff(), "Lie algebra module morphism") + else + print(io, LowercaseOff(), "Lie algebra module morphism: ") + print(io, Lowercase(), domain(h), " -> ", Lowercase(), codomain(h)) + end +end + +############################################################################### +# +# Comparison +# +############################################################################### + +function Base.:(==)(h1::LieAlgebraModuleHom, h2::LieAlgebraModuleHom) + return domain(h1) === domain(h2) && + codomain(h1) === codomain(h2) && + matrix(h1) == matrix(h2) +end + +function Base.hash(f::LieAlgebraModuleHom, h::UInt) + b = 0x7b887214521c25b7 % UInt + h = hash(objectid(domain(f)), h) + h = hash(objectid(codomain(f)), h) + h = hash(matrix(f), h) + return xor(h, b) +end + +############################################################################### +# +# Image and kernel +# +############################################################################### + +@doc raw""" + image(h::LieAlgebraModuleHom, v::LieAlgebraModuleElem) -> LieAlgebraModuleElem + +Return the image of `v` under `h`. +""" +function image( + h::LieAlgebraModuleHom{T1,T2}, v::LieAlgebraModuleElem +) where {T1<:LieAlgebraModule,T2<:LieAlgebraModule} + @req parent(v) === domain(h) "Domain mismatch" + return codomain(h)(_matrix(v) * matrix(h)) +end + +# TODO: image and kernel, once submodules are implemented + +############################################################################### +# +# Map operations +# +############################################################################### + +@doc raw""" + compose(f::LieAlgebraModuleHom, g::LieAlgebraModuleHom) -> LieAlgebraModuleHom + +Return the composition of `f` and `g`, i.e. the homomorphism `h` such that +`h(x) = g(f(x))` for all `x` in the domain of `f`. +The codomain of `f` must be identical to the domain of `g`. +""" +function compose( + f::LieAlgebraModuleHom{T1,T2}, g::LieAlgebraModuleHom{T2,T3} +) where {T1<:LieAlgebraModule,T2<:LieAlgebraModule,T3<:LieAlgebraModule} + @req codomain(f) === domain(g) "Composition: Maps are not compatible" + h = LieAlgebraModuleHom(domain(f), codomain(g), matrix(f) * matrix(g); check=false) + if isdefined(f, :inverse_isomorphism) && isdefined(g, :inverse_isomorphism) + h.inverse_isomorphism = LieAlgebraModuleHom( + codomain(g), + domain(f), + matrix(g.inverse_isomorphism) * matrix(f.inverse_isomorphism); + check=false, + ) + h.inverse_isomorphism.inverse_isomorphism = h + end + return h +end + +@doc raw""" + inv(h::LieAlgebraModuleHom) -> LieAlgebraModuleHom + +Return the inverse of `h`. +Requires `h` to be an isomorphism. +""" +function inv(h::LieAlgebraModuleHom) + @req is_isomorphism(h) "Homomorphism must be invertible" + return h.inverse_isomorphism +end + +@doc raw""" + is_isomorphism(h::LieAlgebraModuleHom) -> Bool + +Return `true` if `h` is an isomorphism. +This function tries to invert the transformation matrix of `h` and caches the result. +The inverse isomorphism can be cheaply accessed via `inv(h)` after calling this function. +""" +@attr Bool function is_isomorphism(h::LieAlgebraModuleHom) + isdefined(h, :inverse_isomorphism) && return true + fl, invmat = is_invertible_with_inverse(matrix(h)) + fl || return false + h.inverse_isomorphism = LieAlgebraModuleHom(codomain(h), domain(h), invmat; check=false) + h.inverse_isomorphism.inverse_isomorphism = h + return true +end + +############################################################################### +# +# Constructor +# +############################################################################### + +@doc raw""" + hom(V1::LieAlgebraModule, V2::LieAlgebraModule, imgs::Vector{<:LieAlgebraModuleElem}; check::Bool=true) -> LieAlgebraModuleHom + +Construct the homomorphism from `V1` to `V2` by sending the `i`-th basis element of `V1` +to `imgs[i]` and extending linearly. +All elements of `imgs` must lie in `V2`. +Currently, `V1` and `V2` must be modules over the same Lie algebra. + +By setting `check=false`, the linear map is not checked to be compatible with the module action. + +# Examples +```jldoctest +julia> L = special_linear_lie_algebra(QQ, 2); + +julia> V1 = standard_module(L); + +julia> V3 = trivial_module(L, 3); + +julia> V2 = direct_sum(V1, V3); + +julia> h = hom(V1, V2, [V2([v, zero(V3)]) for v in basis(V1)]) +Lie algebra module morphism + from standard module of dimension 2 over sl_2 + to direct sum module of dimension 5 over sl_2 + +julia> [(v, h(v)) for v in basis(V1)] +2-element Vector{Tuple{LieAlgebraModuleElem{QQFieldElem}, LieAlgebraModuleElem{QQFieldElem}}}: + (v_1, v_1^(1)) + (v_2, v_2^(1)) +``` +""" +function hom( + V1::LieAlgebraModule{C}, + V2::LieAlgebraModule{C}, + imgs::Vector{<:LieAlgebraModuleElem{C}}; + check::Bool=true, +) where {C<:RingElement} + return LieAlgebraModuleHom(V1, V2, imgs; check) +end + +@doc raw""" + hom(V1::LieAlgebraModule, V2::LieAlgebraModule, mat::MatElem; check::Bool=true) -> LieAlgebraModuleHom + +Construct the homomorphism from `V1` to `V2` by acting with the matrix `mat` +from the right on the coefficient vector w.r.t. the basis of `V1`. +`mat` must be a matrix of size `dim(V1) \times dim(V2)` over `coefficient_ring(V2)`. +Currently, `V1` and `V2` must be modules over the same Lie algebra. + +By setting `check=false`, the linear map is not checked to be compatible with the module action. + +# Examples +```jldoctest +julia> L = general_linear_lie_algebra(QQ, 3); + +julia> V1 = standard_module(L); + +julia> V2 = trivial_module(L); + +julia> h = hom(V1, V2, matrix(QQ, 3, 1, [0, 0, 0])) +Lie algebra module morphism + from standard module of dimension 3 over gl_3 + to abstract Lie algebra module of dimension 1 over gl_3 + +julia> [(v, h(v)) for v in basis(V1)] +3-element Vector{Tuple{LieAlgebraModuleElem{QQFieldElem}, LieAlgebraModuleElem{QQFieldElem}}}: + (v_1, 0) + (v_2, 0) + (v_3, 0) +``` +""" +function hom( + V1::LieAlgebraModule{C}, V2::LieAlgebraModule{C}, mat::MatElem{C}; check::Bool=true +) where {C<:RingElement} + return LieAlgebraModuleHom(V1, V2, mat; check) +end + +@doc raw""" + identity_map(V::LieAlgebraModule) -> LieAlgebraModuleHom + +Construct the identity map on `V`. + +# Examples +```jldoctest +julia> L = special_linear_lie_algebra(QQ, 3); + +julia> V = standard_module(L) +Standard module + of dimension 3 +over special linear Lie algebra of degree 3 over QQ + +julia> identity_map(V) +Lie algebra module morphism + from standard module of dimension 3 over sl_3 + to standard module of dimension 3 over sl_3 +``` +""" +function identity_map(V::LieAlgebraModule) + return hom(V, V, basis(V); check=false) +end diff --git a/experimental/LieAlgebras/src/LieAlgebras.jl b/experimental/LieAlgebras/src/LieAlgebras.jl index 70de5cc00693..8e4e9f934d43 100644 --- a/experimental/LieAlgebras/src/LieAlgebras.jl +++ b/experimental/LieAlgebras/src/LieAlgebras.jl @@ -2,10 +2,10 @@ module LieAlgebras using ..Oscar -import Oscar: GAPWrap, IntegerUnion +import Oscar: GAPWrap, IntegerUnion, MapHeader # not importet in Oscar -using AbstractAlgebra: CacheDictType, ProductIterator, get_cached! +using AbstractAlgebra: CacheDictType, ProductIterator, get_cached!, ordinal_number_string using AbstractAlgebra.PrettyPrinting @@ -20,6 +20,8 @@ import ..Oscar: coeff, coefficient_ring, coefficients, + compose, + derived_series, dim, direct_sum, dual, @@ -28,9 +30,19 @@ import ..Oscar: exterior_power, gen, gens, + hom, + identity_map, ideal, + image, + inv, is_abelian, + is_isomorphism, + is_nilpotent, + is_perfect, is_simple, + is_solvable, + kernel, + matrix, ngens, normalizer, parent_type, @@ -45,11 +57,14 @@ import Base: getindex, deepcopy_internal, hash, issubset, iszero, parent, zero export AbstractLieAlgebra, AbstractLieAlgebraElem export LieAlgebra, LieAlgebraElem +export LieAlgebraHom export LieAlgebraIdeal export LieSubalgebra export LieAlgebraModule, LieAlgebraModuleElem +export LieAlgebraModuleHom export LinearLieAlgebra, LinearLieAlgebraElem +export abelian_lie_algebra export abstract_module export base_lie_algebra export base_module @@ -70,6 +85,7 @@ export is_symmetric_power export is_tensor_power export is_tensor_product export lie_algebra +export lower_central_series export matrix_repr_basis export multicombinations export permutations @@ -79,6 +95,7 @@ export special_orthogonal_lie_algebra export standard_module export symmetric_power export tensor_power +export trivial_module export universal_enveloping_algebra include("Combinatorics.jl") @@ -88,7 +105,9 @@ include("AbstractLieAlgebra.jl") include("LinearLieAlgebra.jl") include("LieSubalgebra.jl") include("LieAlgebraIdeal.jl") +include("LieAlgebraHom.jl") include("LieAlgebraModule.jl") +include("LieAlgebraModuleHom.jl") include("iso_oscar_gap.jl") include("iso_gap_oscar.jl") include("GapWrapper.jl") @@ -99,11 +118,14 @@ using .LieAlgebras export AbstractLieAlgebra, AbstractLieAlgebraElem export LieAlgebra, LieAlgebraElem +export LieAlgebraHom export LieAlgebraIdeal export LieAlgebraModule, LieAlgebraModuleElem +export LieAlgebraModuleHom export LieSubalgebra export LinearLieAlgebra, LinearLieAlgebraElem +export abelian_lie_algebra export abstract_module export base_lie_algebra export base_module @@ -122,10 +144,12 @@ export is_symmetric_power export is_tensor_power export is_tensor_product export lie_algebra +export lower_central_series export matrix_repr_basis export special_linear_lie_algebra export special_orthogonal_lie_algebra export standard_module export symmetric_power export tensor_power +export trivial_module export universal_enveloping_algebra diff --git a/experimental/LieAlgebras/src/LieSubalgebra.jl b/experimental/LieAlgebras/src/LieSubalgebra.jl index cc31839492ab..ae4927c240ca 100644 --- a/experimental/LieAlgebras/src/LieSubalgebra.jl +++ b/experimental/LieAlgebras/src/LieSubalgebra.jl @@ -19,12 +19,13 @@ return new{C,LieT}(L, gens, basis_elems, basis_matrix) else basis_matrix = matrix(coefficient_ring(L), 0, dim(L), C[]) - todo = copy(gens) - while !isempty(todo) - g = pop!(todo) + gens = unique(g for g in gens if !iszero(g)) + left = copy(gens) + while !isempty(left) + g = pop!(left) can_solve(basis_matrix, _matrix(g); side=:left) && continue for i in 1:nrows(basis_matrix) - push!(todo, g * L(basis_matrix[i, :])) + push!(left, g * L(basis_matrix[i, :])) end basis_matrix = vcat(basis_matrix, _matrix(g)) rank = rref!(basis_matrix) @@ -116,7 +117,7 @@ function Base.show(io::IO, S::LieSubalgebra) if get(io, :supercompact, false) print(io, LowercaseOff(), "Lie subalgebra") else - print(io, LowercaseOff(), "Lie subalgebra of ", Lowercase()) + print(io, LowercaseOff(), "Lie subalgebra of dimension $(dim(S)) of ", Lowercase()) print(IOContext(io, :supercompact => true), base_lie_algebra(S)) end end @@ -182,6 +183,13 @@ function bracket( return ideal(base_lie_algebra(S1), [x * y for x in gens(S1) for y in gens(S2)]) end +function bracket( + L::LieAlgebra{C}, S::LieSubalgebra{C,LieT} +) where {C<:RingElement,LieT<:LieAlgebraElem{C}} + @req L === base_lie_algebra(S) "Incompatible Lie algebras." + return bracket(ideal(L), S) +end + ############################################################################### # # Important ideals and subalgebras @@ -254,10 +262,14 @@ end @doc raw""" lie_algebra(S::LieSubalgebra) -> LieAlgebra -Return `S` as a Lie algebra. +Return `S` as a Lie algebra `LS`, together with an embedding `LS -> L`, +where `L` is the Lie algebra where `S` lives in. """ function lie_algebra(S::LieSubalgebra) - return lie_algebra(basis(S)) #, embedding_hom # TODO + LS = lie_algebra(basis(S)) + L = base_lie_algebra(S) + emb = hom(LS, L, basis(S)) + return LS, emb end ############################################################################### diff --git a/experimental/LieAlgebras/src/LinearLieAlgebra.jl b/experimental/LieAlgebras/src/LinearLieAlgebra.jl index 91820b0814ab..d48f70d74654 100644 --- a/experimental/LieAlgebras/src/LinearLieAlgebra.jl +++ b/experimental/LieAlgebras/src/LinearLieAlgebra.jl @@ -92,7 +92,7 @@ end function Base.show(io::IO, L::LinearLieAlgebra) if get(io, :supercompact, false) - print(io, type_to_compact_string(get_attribute(L, :type, :unknown), L.n)) + print(io, _lie_algebra_type_to_compact_string(get_attribute(L, :type, :unknown), L.n)) else io = pretty(io) print( @@ -113,11 +113,11 @@ function _lie_algebra_type_to_string(type::Symbol, n::Int) elseif type == :special_orthogonal return "Special orthogonal Lie algebra of degree $n" else - return "Linear Lie algebra ⊆ gl_$n" + return "Linear Lie algebra with $(n)x$(n) matrices" end end -function type_to_compact_string(type::Symbol, n::Int) +function _lie_algebra_type_to_compact_string(type::Symbol, n::Int) if type == :general_linear return "gl_$n" elseif type == :special_linear @@ -220,6 +220,27 @@ function lie_algebra( return lie_algebra(R, n, matrix_repr.(basis), s; check) end +@doc raw""" + abelian_lie_algebra(R::Ring, n::Int) -> LinearLieAlgebra{elem_type(R)} + abelian_lie_algebra(::Type{LinearLieAlgebra}, R::Ring, n::Int) -> LinearLieAlgebra{elem_type(R)} + abelian_lie_algebra(::Type{AbstractLieAlgebra}, R::Ring, n::Int) -> AbstractLieAlgebra{elem_type(R)} + +Return the abelian Lie algebra of dimension `n` over the ring `R`. +The first argument can be optionally provided to specify the type of the returned +Lie algebra. +""" +function abelian_lie_algebra(R::Ring, n::Int) + return abelian_lie_algebra(LinearLieAlgebra, R, n) +end + +function abelian_lie_algebra(::Type{T}, R::Ring, n::Int) where {T<:LinearLieAlgebra} + basis = [(b = zero_matrix(R, n, n); b[i, i] = 1; b) for i in 1:n] + s = ["x_$(i)" for i in 1:n] + L = lie_algebra(R, n, basis, s; check=false) + set_attribute!(L, :is_abelian => true) + return L +end + @doc raw""" general_linear_lie_algebra(R::Ring, n::Int) -> LinearLieAlgebra{elem_type(R)} diff --git a/experimental/LieAlgebras/test/AbstractLieAlgebra-test.jl b/experimental/LieAlgebras/test/AbstractLieAlgebra-test.jl index d05221fca904..7143432cd116 100644 --- a/experimental/LieAlgebras/test/AbstractLieAlgebra-test.jl +++ b/experimental/LieAlgebras/test/AbstractLieAlgebra-test.jl @@ -26,6 +26,14 @@ ) end + @testset "4-dim abelian Lie algebra /QQ" begin + L = abelian_lie_algebra(AbstractLieAlgebra, QQ, 4) + lie_algebra_conformance_test( + L, AbstractLieAlgebra{QQFieldElem}, AbstractLieAlgebraElem{QQFieldElem} + ) + @test is_abelian(L) + end + @testset "A_4(QQ)" begin L = lie_algebra(QQ, ('A', 4)) lie_algebra_conformance_test( diff --git a/experimental/LieAlgebras/test/LieAlgebra-test.jl b/experimental/LieAlgebras/test/LieAlgebra-test.jl index b7ade51292ad..da05730a3b75 100644 --- a/experimental/LieAlgebras/test/LieAlgebra-test.jl +++ b/experimental/LieAlgebras/test/LieAlgebra-test.jl @@ -156,4 +156,46 @@ include("LinearLieAlgebra-test.jl") @test_broken is_simple(L) == (characteristic(F) != 3) end end + + @testset "Perfectness" begin + @testset for n in 2:5, F in [QQ, GF(2), GF(3)] + L = general_linear_lie_algebra(F, n) + @test !is_perfect(L) + + L = special_linear_lie_algebra(F, n) + @test is_perfect(L) == !(n == 2 && characteristic(F) == 2) + end + end + + @testset "Solvability and nilpotency" begin + L = abelian_lie_algebra(QQ, 3) + @test is_nilpotent(L) + @test is_solvable(L) + + @testset for n in 2:5, F in [QQ, GF(2), GF(3)] + L = lie_algebra( + F, + n, + [(b = zero_matrix(F, n, n); b[i, j] = 1; b) for i in 1:n for j in (i + 1):n], + ["x_$(i)_$(j)" for i in 1:n for j in (i + 1):n], + ) + @test is_nilpotent(L) + @test is_solvable(L) + end + + @testset for n in 2:5, F in [QQ, GF(2), GF(3)] + L = lie_algebra( + F, + n, + [(b = zero_matrix(F, n, n); b[i, j] = 1; b) for i in 1:n for j in i:n], + ["x_$(i)_$(j)" for i in 1:n for j in i:n], + ) + @test !is_nilpotent(L) + @test is_solvable(L) + end + + L = special_linear_lie_algebra(QQ, 3) + @test !is_nilpotent(L) + @test !is_solvable(L) + end end diff --git a/experimental/LieAlgebras/test/LieAlgebraHom-test.jl b/experimental/LieAlgebras/test/LieAlgebraHom-test.jl new file mode 100644 index 000000000000..fdd4b9eee169 --- /dev/null +++ b/experimental/LieAlgebras/test/LieAlgebraHom-test.jl @@ -0,0 +1,90 @@ +@testset "LieAlgebras.LieAlgebraHom" begin + @testset "Constructor and basic properties" begin + L1 = special_linear_lie_algebra(QQ, 2) + L2 = general_linear_lie_algebra(QQ, 2) + h = hom(L1, L2, matrix(QQ, [0 1 0 0; 0 0 1 0; 1 0 0 -1])) # embed sl_2 into gl_2 + + @test domain(h) == L1 + @test codomain(h) == L2 + @test matrix(h) == matrix(QQ, [0 1 0 0; 0 0 1 0; 1 0 0 -1]) + for x1 in basis(L1) + for x2 in basis(L1) + @test h(x1 * x2) == h(x1) * h(x2) + end + end + end + + @testset "Image and kernel" begin + L = abelian_lie_algebra(QQ, 6) + x1, x2, x3, x4, x5, x6 = basis(L) + h = hom(L, L, [zero(L), zero(L), zero(L), x3, x4, x5]) + @test image(h, x1) == h(x1) == zero(L) + @test image(h, x2) == h(x2) == zero(L) + @test image(h, x3) == h(x3) == zero(L) + @test image(h, x4) == h(x4) == x3 + @test image(h, x5) == h(x5) == x4 + @test image(h, x6) == h(x6) == x5 + + @test image(h) == sub(L, [x3, x4, x5]) + @test image(h, sub(L)) == sub(L, [x3, x4, x5]) + @test image(h, ideal(L)) == sub(L, [x3, x4, x5]) + + @test kernel(h) == ideal(L, [x1, x2, x3]) + + @test image(h, sub(L, [x2, x3, x4])) == sub(L, [x3]) + @test h(sub(L, [x2, x3, x4])) == sub(L, [x3]) + @test image(h, ideal(L, [x2, x3, x4])) == sub(L, [x3]) + @test h(ideal(L, [x2, x3, x4])) == sub(L, [x3]) + end + + @testset "Composition" begin + L1 = special_linear_lie_algebra(QQ, 2) + L2 = special_linear_lie_algebra(QQ, 3) + L3 = general_linear_lie_algebra(QQ, 3) + f = hom(L1, L2, [basis(L2, 1), basis(L2, 4), basis(L2, 7)]) # embedding sl_2 into sl_3 + g = hom( + L2, + L3, + matrix( + QQ, + [ + 0 1 0 0 0 0 0 0 0 + 0 0 1 0 0 0 0 0 0 + 0 0 0 0 0 1 0 0 0 + 0 0 0 1 0 0 0 0 0 + 0 0 0 0 0 0 1 0 0 + 0 0 0 0 0 0 0 1 0 + 1 0 0 0 -1 0 0 0 0 + 0 0 0 0 1 0 0 0 -1 + ], + ), + ) # embedding sl_3 into gl_3 + h = compose(f, g) + @test domain(h) == L1 + @test codomain(h) == L3 + for x in basis(L1) + @test h(x) == g(f(x)) + end + end + + @testset "Inverses" begin + L1 = special_linear_lie_algebra(QQ, 2) + L2 = general_linear_lie_algebra(QQ, 2) + h = hom(L1, L2, matrix(QQ, [0 1 0 0; 0 0 1 0; 1 0 0 -1])) # embed sl_2 into gl_2 + + @test !is_isomorphism(h) + + @test is_isomorphism(identity_map(L1)) + @test identity_map(L1) == inv(identity_map(L1)) + end + + @testset "Hum72, Exercise 2.10" begin + L = special_linear_lie_algebra(QQ, 2) + e, f, h = basis(L) + h = hom(L, L, [-f, -e, -h]) + @test is_isomorphism(h) + @test h == inv(h) + @test identity_map(L) == compose(h, inv(h)) + @test identity_map(L) == compose(inv(h), h) + end +end diff --git a/experimental/LieAlgebras/test/LieAlgebraIdeal-test.jl b/experimental/LieAlgebras/test/LieAlgebraIdeal-test.jl index e93ec01cc6b0..6658d2a7a5b0 100644 --- a/experimental/LieAlgebras/test/LieAlgebraIdeal-test.jl +++ b/experimental/LieAlgebras/test/LieAlgebraIdeal-test.jl @@ -6,7 +6,7 @@ sub( L, [basis(L, 1), basis(L, 2), basis(L, 3), basis(L, 5), basis(L, 6), basis(L, 9)] ), - ) + )[1] n = ideal(b, [basis(b, 2), basis(b, 3), basis(b, 5)]) let L = b, I = n @@ -16,6 +16,12 @@ @test length(basis(I)) == dim(I) @test all(in(I), gens(I)) @test all(in(I), basis(I)) + + LI, emb = lie_algebra(I) + @test dim(LI) == dim(I) + @test domain(emb) == LI + @test codomain(emb) == L + @test image(emb) == sub(L, I) end @test dim(b) == 6 diff --git a/experimental/LieAlgebras/test/LieAlgebraModuleHom-test.jl b/experimental/LieAlgebras/test/LieAlgebraModuleHom-test.jl new file mode 100644 index 000000000000..ba404dd09b5c --- /dev/null +++ b/experimental/LieAlgebras/test/LieAlgebraModuleHom-test.jl @@ -0,0 +1,76 @@ +@testset "LieAlgebras.LieAlgebraModuleHom" begin + @testset "Constructor and basic properties" begin + L = special_orthogonal_lie_algebra(QQ, 3) + + V1 = standard_module(L) + V2 = direct_sum(V1, trivial_module(L, 3)) + + h = hom(V1, V2, [basis(V2, 1), basis(V2, 2), basis(V2, 3)]) # embed sl_2 into gl_2 + + @test domain(h) == V1 + @test codomain(h) == V2 + @test matrix(h) == matrix( + QQ, + [ + 1 0 0 0 0 0 + 0 1 0 0 0 0 + 0 0 1 0 0 0 + ], + ) + for x in basis(L) + for v in basis(V1) + @test h(x * v) == x * h(v) + end + end + end + + @testset "Image and kernel" begin + L = special_orthogonal_lie_algebra(QQ, 3) + V = direct_sum(standard_module(L), standard_module(L)) + v1, v2, v3, v4, v5, v6 = basis(V) + h = hom(V, V, [zero(V), zero(V), zero(V), v1, v2, v3]) + @test image(h, v1) == h(v1) == zero(V) + @test image(h, v2) == h(v2) == zero(V) + @test image(h, v3) == h(v3) == zero(V) + @test image(h, v4) == h(v4) == v1 + @test image(h, v5) == h(v5) == v2 + @test image(h, v6) == h(v6) == v3 + end + + @testset "Composition" begin + L = special_orthogonal_lie_algebra(QQ, 3) + V1 = standard_module(L) + V2 = direct_sum(V1, V1) + V3 = direct_sum(V1, V1, V1) + f = hom(V1, V2, [V2([v, zero(V1)]) for v in basis(V1)]) + g = hom( + V2, + V3, + [basis(V3, 1), basis(V3, 2), basis(V3, 3), basis(V3, 7), basis(V3, 8), basis(V3, 9)], + ) + + h = compose(f, g) + @test domain(h) == V1 + @test codomain(h) == V3 + for x in basis(V1) + @test h(x) == g(f(x)) + end + end + + @testset "Inverses" begin + L = special_orthogonal_lie_algebra(QQ, 3) + V = direct_sum(standard_module(L), standard_module(L)) + v1, v2, v3, v4, v5, v6 = basis(V) + h = hom(V, V, [zero(V), zero(V), zero(V), v1, v2, v3]) + @test !is_isomorphism(h) + + @test is_isomorphism(identity_map(V)) + @test identity_map(V) == inv(identity_map(V)) + + h = hom(V, V, [v4, v5, v6, v1, v2, v3]) + @test is_isomorphism(h) + @test h == inv(h) + @test identity_map(V) == compose(h, inv(h)) + @test identity_map(V) == compose(inv(h), h) + end +end diff --git a/experimental/LieAlgebras/test/LieSubalgebra-test.jl b/experimental/LieAlgebras/test/LieSubalgebra-test.jl index 1b28345945ea..d3788548b9c3 100644 --- a/experimental/LieAlgebras/test/LieSubalgebra-test.jl +++ b/experimental/LieAlgebras/test/LieSubalgebra-test.jl @@ -14,6 +14,12 @@ @test length(basis(S)) == dim(S) @test all(in(S), gens(S)) @test all(in(S), basis(S)) + + LS, emb = lie_algebra(S) + @test dim(LS) == dim(S) + @test domain(emb) == LS + @test codomain(emb) == L + @test image(emb) == S end @test dim(b) == 6 diff --git a/experimental/LieAlgebras/test/LinearLieAlgebra-test.jl b/experimental/LieAlgebras/test/LinearLieAlgebra-test.jl index 63e359bfeed1..4c6c160a1978 100644 --- a/experimental/LieAlgebras/test/LinearLieAlgebra-test.jl +++ b/experimental/LieAlgebras/test/LinearLieAlgebra-test.jl @@ -11,6 +11,14 @@ end @testset "conformance tests" begin + @testset "4-dim abelian Lie algebra /QQ" begin + L = abelian_lie_algebra(LinearLieAlgebra, QQ, 4) + lie_algebra_conformance_test( + L, LinearLieAlgebra{QQFieldElem}, LinearLieAlgebraElem{QQFieldElem} + ) + @test is_abelian(L) + end + @testset "gl_4(QQ)" begin L = general_linear_lie_algebra(QQ, 4) lie_algebra_conformance_test( diff --git a/experimental/LieAlgebras/test/runtests.jl b/experimental/LieAlgebras/test/runtests.jl index 4b4ef3fa64ee..f13f718ec084 100644 --- a/experimental/LieAlgebras/test/runtests.jl +++ b/experimental/LieAlgebras/test/runtests.jl @@ -4,4 +4,6 @@ include("iso_gap_oscar-test.jl") include("LieAlgebra-test.jl") include("LieSubalgebra-test.jl") include("LieAlgebraIdeal-test.jl") +include("LieAlgebraHom-test.jl") include("LieAlgebraModule-test.jl") +include("LieAlgebraModuleHom-test.jl") diff --git a/experimental/QuadFormAndIsom/src/embeddings.jl b/experimental/QuadFormAndIsom/src/embeddings.jl index 40e8cfe67e01..bb85f6518515 100644 --- a/experimental/QuadFormAndIsom/src/embeddings.jl +++ b/experimental/QuadFormAndIsom/src/embeddings.jl @@ -387,7 +387,7 @@ function _subgroups_orbit_representatives_and_stabilizers_elementary(Vinq::TorQu Qp, VtoVp, VptoQp = _cokernel_as_Fp_vector_space(H0inV, p) Vp = codomain(VtoVp) - # Should never happend, but who knows... + # Should never happen, but who knows... dim(Qp) == 0 && return res # We descend G to V for computing stabilizers later on @@ -515,7 +515,7 @@ function _classes_automorphic_subgroups(q::TorQuadModule, # reconstruct the stabilizer. Since primary parts do not talk to each other, # we concatenate generators on an orthogonal direct sum of q into its primary # parts (as we do for computations of orthogonal groups in the non split - # degenrate case) + # degenerate case) for lis in Hecke.cartesian_product_iterator(list_can; inplace = false) embs = TorQuadModuleMor[l[1] for l in lis] embs = TorQuadModuleMor[hom(domain(embs[i]), q, TorQuadModuleElem[blocks[i](domain(blocks[i])(lift(embs[i](a)))) for a in gens(domain(embs[i]))]) for i in 1:length(lis)] @@ -1061,7 +1061,7 @@ function admissible_equivariant_primitive_extensions(A::ZZLatWithIsom, # We want all isometries of SB which preserves p^l*q_B and such that they # define isometries of rho_{l+1}(B). If `spec == true`, then rho_{l+1}(B) is - # equiped with a quadratic form and we check isometries preserving it. + # equipped with a quadratic form and we check isometries preserving it. # Otherwise, only isometries preserving the underlying bilinear product. OSBrB = _compute_double_stabilizer(SBinqB, l, spec) @hassert :ZZLatWithIsom 1 fSB in OSBrB # Should always hold since the construction of rho_{l+1}(B) is natural in B @@ -1122,7 +1122,7 @@ function admissible_equivariant_primitive_extensions(A::ZZLatWithIsom, @hassert :ZZLatWithIsom 1 is_isometry(phi2) # In fact they are the same module so phi2, mathematically, is the identity. # So now this new integer lattice with isometry `(C2, fC2)` is a good - # output. Just remain toi compute GC2 in a smart way. + # output. Just remain to compute GC2 in a smart way. geneOSA = AutomorphismGroupElem{TorQuadModule}[OSA(compose(phig, compose(hom(g1), inv(phig)))) for g1 in unique(gens(imB))] im2_phi, _ = sub(OSA, geneOSA) im3, _, _ = intersect(imA, im2_phi) diff --git a/experimental/QuadFormAndIsom/src/enumeration.jl b/experimental/QuadFormAndIsom/src/enumeration.jl index c3b05b49b345..f5fe76347bc0 100644 --- a/experimental/QuadFormAndIsom/src/enumeration.jl +++ b/experimental/QuadFormAndIsom/src/enumeration.jl @@ -371,7 +371,7 @@ function _ideals_of_norm(E::Field, d::ZZRingElem) end # given a cyclotomic field (as cm extension) E/K, return all -# the possible signatures dictionnaries of any hermitian lattice over +# the possible signatures dictionaries of any hermitian lattice over # E/K of rank rk, whose trace lattice has signature (s1, s2). function _possible_signatures(s1::IntegerUnion, s2::IntegerUnion, E::Field, rk::IntegerUnion) diff --git a/experimental/QuadFormAndIsom/src/hermitian_miranda_morrison.jl b/experimental/QuadFormAndIsom/src/hermitian_miranda_morrison.jl index a67feb5b9bb8..6050908ddf19 100644 --- a/experimental/QuadFormAndIsom/src/hermitian_miranda_morrison.jl +++ b/experimental/QuadFormAndIsom/src/hermitian_miranda_morrison.jl @@ -389,7 +389,7 @@ function _local_determinants_morphism(Lf::ZZLatWithIsom) # # Note: we do not remove the factor to be able to map the corresponding the # factors between the two products we construct. We do this componentwise to - # avoid computing unncessary crt. This will hold for the rest of the code, we + # avoid computing unnecessary crt. This will hold for the rest of the code, we # for those particular objects, the `dlog` maps take vectors, corresponding to # finite adeles. Fdata = Tuple{NfOrdIdl, Int}[] @@ -698,7 +698,7 @@ end # blocks of H_p which are of P-valuation different from -a # # In our context of use, -a is actually the biggest scale valuation for -# D^{-1}H^#. Since we take care ealier to discard the cases where D^{-1}H^# is +# D^{-1}H^#. Since we take care earlier to discard the cases where D^{-1}H^# is # P^{-a}=modular locally at p, we just have to remove the last jordan block from # the jordan decomposition of D^{-1}H^# at p. From that point, we massage a bit # the basis matrices of the other jordan blocks to obtain local basis matrices @@ -732,7 +732,7 @@ end # If the prime ideal is non dyadic, then 1//2 will always be good for us. # Otherwise, if the prime p is dyadic, we do in two different ways # - p is inert or split, in which case we can use an algorithm of Markus -# Kirschmer, implemented on Hecke which provies us the "special unit", which is +# Kirschmer, implemented on Hecke which provides us the "special unit", which is # exactly what we look for (a unit at P with trace 1); # - p is ramified, and then we cook up a good element. The actual code from # that part is taken from the Sage implementation of Simon Brandhorst diff --git a/experimental/QuadFormAndIsom/src/spaces_with_isometry.jl b/experimental/QuadFormAndIsom/src/spaces_with_isometry.jl index fa3f7a496874..6ff1f0bd5051 100644 --- a/experimental/QuadFormAndIsom/src/spaces_with_isometry.jl +++ b/experimental/QuadFormAndIsom/src/spaces_with_isometry.jl @@ -1,7 +1,7 @@ ############################################################################### # -# Accesors +# Accessors # ############################################################################### diff --git a/experimental/Schemes/CoveredProjectiveSchemes.jl b/experimental/Schemes/CoveredProjectiveSchemes.jl index 6218a1f04da7..b62b8a5bfaac 100644 --- a/experimental/Schemes/CoveredProjectiveSchemes.jl +++ b/experimental/Schemes/CoveredProjectiveSchemes.jl @@ -794,7 +794,7 @@ function blow_up( # Gather the information on the isomorphism on the complement p = covered_projection_to_base(local_blowups[U]) isos_on_complement_of_center = get_attribute(p, :isos_on_complement_of_center)::IdDict{<:AbsSpec, <:AbsSpecMor} - # manual merge becaus `merge` does not preserve IdDicts. + # manual merge because `merge` does not preserve IdDicts. for x in keys(isos_on_complement_of_center) comp_iso_dict[x] = isos_on_complement_of_center[x] end diff --git a/experimental/Schemes/CoveredScheme.jl b/experimental/Schemes/CoveredScheme.jl index 039b13e068c1..f7c86dacdbd3 100644 --- a/experimental/Schemes/CoveredScheme.jl +++ b/experimental/Schemes/CoveredScheme.jl @@ -726,9 +726,9 @@ function Base.show(io::IO, f::CompositeCoveredSchemeMorphism) else print(io, "Composition of ", "$(domain(f)) -> ") for i in 2:length(maps(f)) - print(io, "$(domain(map(f)[i])) -> ") + print(io, "$(domain(maps(f)[i])) -> ") end - print(io, "$(codomain(map(f)[end]))") + print(io, "$(codomain(maps(f)[end]))") end end diff --git a/experimental/Schemes/MorphismFromRationalFunctions.jl b/experimental/Schemes/MorphismFromRationalFunctions.jl index 1cd205f61f92..3f3b6df8e142 100644 --- a/experimental/Schemes/MorphismFromRationalFunctions.jl +++ b/experimental/Schemes/MorphismFromRationalFunctions.jl @@ -118,6 +118,41 @@ domain_chart(Phi::MorphismFromRationalFunctions) = Phi.domain_chart codomain_chart(Phi::MorphismFromRationalFunctions) = Phi.codomain_chart coordinate_images(Phi::MorphismFromRationalFunctions) = Phi.coord_imgs +function Base.show(io::IOContext, Phi::MorphismFromRationalFunctions) + io = pretty(io) + if get(io, :supercompact, false) + print("Morphism from rational functions") + else + print("hom: ", X, " -> ", Y) + end +end + +function Base.show(io::IOContext, ::MIME"text/plain", Phi::MorphismFromRationalFunctions) + io = pretty(io) + println(io, "Morphism from rational functions") + print(io, Indent()) + println(io, "from ", Lowercase(), domain(Phi)) + println(io, "to ", Lowercase(), codomain(Phi), Dedent()) + println(io, "with representatives") + print(io, Indent()) + c = collect(patch_representatives(Phi)) + for (U,(V,imgs)) in c[1:end-1] + print(io, "(") + join(io, coordinates(V), ",") + print(io, ") -> ") + print(io, "(") + join(io, imgs, ",") + print(io, ")") + end + (U,(V,imgs)) = c[end] + print(io, "(") + join(io, coordinates(V), ",") + print(io, ") -> ") + print(io, "(") + join(io, imgs, ",") + print(io, ")") + print(io, Dedent()) +end # For every pair of patches `U` in the `domain_covering` and `V` in the `codomain_covering` # the pullback `f₁,…,fᵣ` of the `gens` of `OO(V)` along `Phi` can be represented as # rational functions on `U`. This returns a dictionary where `U` can be used @@ -209,6 +244,7 @@ function realize_on_patch(Phi::MorphismFromRationalFunctions, U::AbsSpec) realizations(Phi)[U] = Psi_res return Psi_res end + @doc raw""" realize_on_open_subset(Phi::MorphismFromRationalFunctions, U::AbsSpec, V::AbsSpec) @@ -296,7 +332,7 @@ the restriction `f : U' → V` of `Phi` can be realized and returns that restric Note that `U'` need not (and usually will not) be maximal with this property. This method is cheap in the sense that it simply inverts all representatives of -the denominators occuring in the `realization_preview(Phi, U, V)`. +the denominators occurring in the `realization_preview(Phi, U, V)`. """ function cheap_realization(Phi::MorphismFromRationalFunctions, U::AbsSpec, V::AbsSpec) if haskey(cheap_realizations(Phi), (U, V)) @@ -495,7 +531,7 @@ equidimensional_decomposition_radical(I::MPolyQuoLocalizedIdeal) = [ideal(base_r ### When realizing a `MorphismFromRationalFunctions` `Phi` on pairs # of patches `(U, V)`, it is essential to use information on -# other pairs `(U', V')` of patchs which is already available +# other pairs `(U', V')` of patches which is already available # through feasible channels. Now, for example, for `U'` as above # this finds another patch `U` for which the glueing of `U` and `U'` # is already fully computed, but which is not in `covered`. diff --git a/experimental/Schemes/WeilDivisor.jl b/experimental/Schemes/WeilDivisor.jl index a57116112470..13318f510ceb 100644 --- a/experimental/Schemes/WeilDivisor.jl +++ b/experimental/Schemes/WeilDivisor.jl @@ -181,11 +181,16 @@ function Base.show(io::IO, D::WeilDivisor) print(io, name(D)) elseif get(io, :supercompact, false) print(io, "Algebraic cycle") + # if the divisor is prime and the ideal sheaf has a name print that + elseif length(components(D)) == 1 && has_attribute(first(components(D)), :name) + I = first(components(D)) + I_name = get_attribute(I, :name) + print(io, Lowercase(), I_name) elseif length(components(D)) == 0 print(io, "Zero weil divisor on ", Lowercase(), X) elseif eff if prim - print(io, "Prime weil divisor on ", Lowercase(), X) + print(io, "Prime Weil divisor on ", Lowercase(), X) else print(io, "Effective Weil divisor on ", Lowercase(), X) end @@ -196,7 +201,7 @@ end # Used in nested printing, where we assume that the associated scheme is already # printed in the nest - we keep track of the good covering `cov` to describe -# everything consistenly. +# everything consistently. function _show_semi_compact(io::IO, D::WeilDivisor, cov::Covering = get_attribute(scheme(D), :simplified_covering, default_covering(scheme(D)))) io = pretty(io) X = scheme(D) @@ -324,11 +329,18 @@ function intersect(D::WeilDivisor, E::WeilDivisor; for c2 in components(E) a2 = E[c2] if c1 === c2 - result = a1*a2*_self_intersection(c1) + result = result + a1*a2*_self_intersection(c1) else I = c1 + c2 - @assert dim(I) <= 0 "divisors have nontrivial self intersection" - result = result + a1 * a2 * colength(I, covering=covering) + if dim(I) > 0 + if c1 == c2 + result = result + a1*a2*_self_intersection(c1) + else + error("self intersection unknown") + end + else + result = result + a1 * a2 * colength(I, covering=covering) + end end end end @@ -581,6 +593,7 @@ function _subsystem(L::LinearSystem, P::IdealSheaf, n) RP, _ = Localization(OO(U), complement_of_prime_ideal(saturated_ideal(P(U)))) PP = RP(prime_ideal(inverted_set(RP))) K = function_field(X) + denom_mult = order_on_divisor(K(common_denominator), P, check=false) #denom_mult = (_minimal_power_such_that(PP, I -> !(RP(common_denominator) in I))[1])-1 w = n + denom_mult # Adjust! diff --git a/experimental/Schemes/elliptic_surface.jl b/experimental/Schemes/elliptic_surface.jl index 1ae2da3ba210..f096effc43d5 100644 --- a/experimental/Schemes/elliptic_surface.jl +++ b/experimental/Schemes/elliptic_surface.jl @@ -96,12 +96,6 @@ generic_fiber(S::EllipticSurface) = S.E weierstrass_chart(S::EllipticSurface) = S.Weierstrasschart -@attr AbsSpec function weierstrass_chart_on_minimal_model(S::EllipticSurface) - # make sure the minimal model is known - relatively_minimal_model(S) - return get_attribute(S, :weierstrass_chart_on_minimal_model) -end - @doc raw""" euler_characteristic(X::EllipticSurface) -> Int @@ -339,10 +333,9 @@ function _separate_singularities!(X::EllipticSurface) U = P[1][1] # the weierstrass_chart IsingU = I_sing_P(U)::MPolyIdeal if isone(IsingU) + # we want one smooth weierstrass chart push!(refined_charts, U) set_attribute!(U, :is_smooth => true) - # we want one smooth weierstrass chart - set_attribute!(X, :weierstrass_chart_on_minimal_model => U) else # there is at most one singularity in every fiber # project the singular locus to an affine chart of P1 @@ -352,7 +345,6 @@ function _separate_singularities!(X::EllipticSurface) # One chart with all reducible fibers taken out UU = PrincipalOpenSubset(U, redfib) set_attribute!(UU, :is_smooth => true) - set_attribute!(X, :weierstrass_chart_on_minimal_model => UU) push!(refined_charts, UU) if length(redfib)==1 # We need to recreate U as a PrincipalOpenSubset of itself here @@ -553,8 +545,10 @@ end @doc raw""" _trivial_lattice(S::EllipticSurface) -Internal function. Output: -basis of the trivial lattice, gram matrix, fiber_components +Internal function. Returns a list consisting of: +- basis of the trivial lattice +- gram matrix +- fiber_components without multiplicities """ @attr function _trivial_lattice(S::EllipticSurface) #= @@ -602,8 +596,6 @@ basis of the trivial lattice, gram matrix, fiber_components O = zero_section(S) pt0, F = fiber(S) - # we manually set the self-intersections - set_attribute!(components(F)[1], :_self_intersection, 0) set_attribute!(components(O)[1], :_self_intersection, -euler_characteristic(S)) @@ -688,7 +680,7 @@ function standardize_fiber(S::EllipticSurface, f::Vector{<:WeilDivisor}) end r = length(f) G = -2*identity_matrix(ZZ, r) - @vprint :EllipticSurface 2 "computing intersections:" + @vprintln :EllipticSurface 2 "computing intersections:" for i in 1:r @vprint :EllipticSurface 3 "\nrow $(i): \n" for j in 1:i-1 @@ -786,14 +778,33 @@ function fiber_components(S::EllipticSurface, P) end function fiber(X::EllipticSurface) - pt, F = irreducible_fiber(X) - return pt, weil_divisor(F) + b, pt, F = irreducible_fiber(X) + if b + W = weil_divisor(F) + # we manually set the self-intersection + set_attribute!(components(W)[1], :_self_intersection, 0) + else + # all fibers are reducible pick the one over [0 : 1] + k = base_ring(X) + pt = [k(0),k(1)] + f = fiber_components(X, pt) + fiber_type, W, componentsW, gramW = standardize_fiber(X, f) + end + set_attribute!(W, :name=> "Fiber over ($(pt[1]), $(pt[2]))") + return pt, W end + @doc raw""" - irreducible_fiber(S::EllipticSurface) -> EffectiveCartierDivisor + irreducible_fiber(S::EllipticSurface) -> Bool, Point, EffectiveCartierDivisor + +Return an irreducible fiber as a cartier divisor and whether it exists. + +The return value is a triple `(b, pt, F)` where -Return an irreducible fiber as a cartier divisor. +- `b` is `true` if an irreducible fiber exists over the base field of `S` +- `pt` the base point of the fiber +- `F` the irreducible fiber which projects to `pt` """ function irreducible_fiber(S::EllipticSurface) W = weierstrass_model(S) @@ -802,12 +813,13 @@ function irreducible_fiber(S::EllipticSurface) k = coefficient_ring(kt) r = [k.(roots(i[1])) for i in factor(d) if i[2]>=2] sing = reduce(append!,r, init=[]) - + pt = k.([0,0]) # initialize + found = false if degree(d) >= 12*euler_characteristic(S) - 1 # irreducible at infinity? pt = k.([1, 0]) + found = true else if is_finite(k) - found = false for i in k if !(i in sing) # true if the fiber over [i,1] is irreducible pt = k.([i,1]) @@ -815,22 +827,20 @@ function irreducible_fiber(S::EllipticSurface) break end end - found || error("there is no irreducible fiber defined over the base field") else i = k(0) while true i = i+1 if !(i in sing) pt = k.([i,1]) + found = true break end end end end - # F = fiber_components(S,pt) this does not terminate .... so we have to build it by hand - # @assert length(F) == 1 F = fiber_cartier(S, pt) - return pt,F + return found, pt, F end @doc raw""" @@ -867,7 +877,9 @@ function _section(X::EllipticSurface, P::EllCrvPt) PY = pullback(X.inc_Y, PX) set_attribute!(PY, :name, string("section: (",P[1]," : ",P[2]," : ",P[3],")")) set_attribute!(PY, :_self_intersection, -euler_characteristic(X)) - return WeilDivisor(PY, check=false) + W = WeilDivisor(PY, check=false) + set_attribute!(W, :is_prime=>true) + return W end @doc raw""" @@ -972,12 +984,18 @@ function _prop217(E::EllCrv, P::EllCrvPt, k) return result end +function iszero(P::EllCrvPt) + return iszero(P[1]) && isone(P[2]) && iszero(P[3]) +end + @doc raw""" linear_system(X::EllipticSurface, P::EllCrvPt, k::Int64) -> LinearSystem Compute the linear system ``|O + P + k F|`` on the elliptic surface ``X``. Here ``F`` is the class of the fiber over ``[0:1]``, ``O`` the zero section and ``P`` any section given as a point on the generic fiber. + +The linear system is represented in terms of the Weierstrass coordinates. """ function linear_system(X::EllipticSurface, P::EllCrvPt, k::Int64) euler_characteristic(X) == 2 || error("linear system implemented only for elliptic K3s") @@ -989,8 +1007,6 @@ function linear_system(X::EllipticSurface, P::EllCrvPt, k::Int64) if iszero(P[3]) append!(sections, [FS(t)^(i-k) for i in 0:k]) append!(sections, [FS(t)^(i-k)*FS(x) for i in 0:k-4]) - elseif iszero((2*P)[3]) - error("not implemented for 2-torsion sections") else xn = numerator(P[1]) xd = denominator(P[1]) @@ -1013,21 +1029,97 @@ function linear_system(X::EllipticSurface, P::EllCrvPt, k::Int64) end end return sections - sectionsX = pullback(X.blowup).(sections) - return sectionX end @doc raw""" - elliptic_parameter(X::EllipticSurface, F::ZZMat) -> LinearSystem + two_neighbor_step(X::EllipticSurface, F1::Vector{QQFieldElem}) + +Given an isotropic nef divisor ``F1`` with ``F1.F = 2``, +compute the linear system ``|F1|`` and return the corresponding generic fiber +as a double cover `C` of the projective line branched over four points. -Return the complete linear system ``|F|``. +Input: +``F1`` is represented as a vector in the `algebraic_lattice(X)` -Here `F` must be given with respect to the basis of -`algebraic_lattice(X)` and be an isotropic nef divisor. Assumes that $X$ is -a K3 surface. +Output: +A tuple `(C, (x1, y1, t1))` defined as follows. +- `C` is given by a polynomial `y1^2 - q(x1)` in `k(t)[x1,y1]` with `q` of degree 3 or 4. +- (x1,y1,t1) are expressed as rational functions in terms of the weierstrass coordinates `(x,y,t)`. """ -function elliptic_parameter(X::EllipticSurface, F::Vector{QQFieldElem}) - # TODO: Adapt this to compute linear systems on elliptic surfaces in general. +function two_neighbor_step(X::EllipticSurface, F::Vector{QQFieldElem}) + E = generic_fiber(X) + basisNS, tors, NS = algebraic_lattice(X) + V = ambient_space(NS) + @req inner_product(V, F, F)==0 "not an isotropic divisor" + @req euler_characteristic(X) == 2 "not a K3 surface" + F0 = zeros(QQ,degree(NS)); F0[1]=1 + + @req inner_product(V, F, F0) == 2 "not a 2-neighbor" + + D1, D, P, l, c = horizontal_decomposition(X, F) + u = _elliptic_parameter(X, D1, D, P, l, c) + + # Helper function + my_const(u::MPolyElem) = is_zero(u) ? zero(coefficient_ring(parent(u))) : first(coefficients(u)) + + # transform to a quartic y'^2 = q(x) + if iszero(P[3]) # P = O + eqn1, phi1 = _elliptic_parameter_conversion(X, u, case=:case1) + eqn2, phi2 = _normalize_hyperelliptic_curve(eqn1) +# function phi_func(x) +# y = phi1(x) +# n = numerator(y) +# d = denominator(y) +# return phi2(n)//phi2(d) +# end +# phi = MapFromFunc(domain(phi1), codomain(phi2), phi_func) +# # TODO: Verify that the construction below also works and replace by that, eventually. +# phi_alt = compose(phi1, extend_domain_to_fraction_field(phi2)) +# @assert phi.(gens(domain(phi))) == phi_alt.(gens(domain(phi))) + phi = compose(phi1, extend_domain_to_fraction_field(phi2)) + elseif iszero(2*P) # P is a 2-torsion section + eqn1, phi1 = _elliptic_parameter_conversion(X, u, case=:case3) + #eqn1, phi1 = _conversion_case_3(X, u) + (x2, y2) = gens(parent(eqn1)) + + # Make sure the coefficient of y² is one (or a square) so that + # completing the square works. + c = my_const(coeff(eqn1, [x2, y2], [0, 2]))::AbstractAlgebra.Generic.Frac + eqn1 = inv(unit(factor(c)))*eqn1 + + eqn2, phi2 = _normalize_hyperelliptic_curve(eqn1) + phi = compose(phi1, extend_domain_to_fraction_field(phi2)) + else # P has infinite order + eqn1, phi1 = _elliptic_parameter_conversion(X, u, case=:case2) + #eqn1, phi1 = _conversion_case_2(X, u) + (x2, y2) = gens(parent(eqn1)) + + # Make sure the coefficient of y² is one (or a square) so that + # completing the square works. + c = my_const(coeff(eqn1, [x2, y2], [0, 2]))::AbstractAlgebra.Generic.Frac + eqn1 = inv(unit(factor(c)))*eqn1 + + eqn2, phi2 = _normalize_hyperelliptic_curve(eqn1) + phi = compose(phi1, extend_domain_to_fraction_field(phi2)) + end + + return eqn2, phi +end + +@doc raw""" + horizontal_decomposition(X::EllipticSurface, L::Vector{QQFieldElem}) -> WeilDivisor, EllCrvPt + +Given a divisor ``L`` as a vector in the `algebraic_lattice(X)` +find a linearly equivalent divisor ``(n-1) O + P + V = D ~ L`` where +``O`` is the zero section, ``P`` is any section and ``V`` is vertical. + +Returns a tuple `(D1, D, P, l, c)` where `D` and `P` are as above and +``D <= D1 = (n-1)O + P + n_1F_1 + ... n_k F_k`` with ``l = n_1 + ... n_k`` minimal +and the `F_i` are some other fibers. +The rational function `c=c(t)` has divisor of zeros and poles`` +(c) = lF - n_0F_1 + ... n_k F_k`` +""" +function horizontal_decomposition(X::EllipticSurface, F::Vector{QQFieldElem}) E = generic_fiber(X) basisNS, tors, NS = algebraic_lattice(X) V = ambient_space(NS) @@ -1116,11 +1208,37 @@ function elliptic_parameter(X::EllipticSurface, F::Vector{QQFieldElem}) @assert all(F4[i]>=0 for i in 1:length(basisNS)) D = D + sum(ZZ(F4[i])*basisNS[i] for i in 1:length(basisNS)) @assert D<=D1 + l = Int(l) + return D1, D, P, l, c +end + +@doc raw""" + elliptic_parameter(X::EllipticSurface, F::Vector{QQFieldElem}) -> LinearSystem +Return the elliptic parameter ``u`` of the divisor class `F`. + +The input `F` must be given with respect to the basis of +`algebraic_lattice(X)` and be an isotropic nef divisor. +This method assumes that $X$ is a K3 surface. +""" +function elliptic_parameter(X::EllipticSurface, F::Vector{QQFieldElem}) + D1, D, P, l, c = horizontal_decomposition(X, F) + return _elliptic_parameter(X, D1, D, P, l, c) +end + +@doc raw""" + _elliptic_parameter(X::EllipticSurface, D::WeilDivisor, l, c) + +Compute the linear system of ``D = (n-1) O + P + V``. +where V is vertical and `l` is the coefficient of the fiber class. +Assumes `D` nef and `D^2=0`. +Typically ``D`` is the output of `horizontal_decomposition`. +""" +function _elliptic_parameter(X::EllipticSurface, D1::WeilDivisor, D::WeilDivisor, P::EllCrvPt, l::Int, c) S, piS = weierstrass_model(X); _,piX = relatively_minimal_model(X) c = function_field(S)(c) - L = [i*c for i in linear_system(X, P, Int(l))]; + L = [i*c for i in linear_system(X, P, l)]; LonX = linear_system(pullback(piX).(L), D1, check=false); LsubF, Tmat = subsystem(LonX, D); @@ -1134,7 +1252,6 @@ function elliptic_parameter(X::EllipticSurface, F::Vector{QQFieldElem}) end - @doc raw""" extended_ade(ADE::Symbol, n::Int) @@ -1273,6 +1390,8 @@ function _normalize_hyperelliptic_curve(g::MPolyRingElem; parent::Union{MPolyRin #c = my_coeff(g2, y1, 2) c = last(coefficients(split_map_R1(g2))) g2 = divexact(g2, evaluate(c, x1)) + @assert degree(g2, gen(parent, 1)) <= 4 "degree in the first variable is too high" + @assert degree(g2, gen(parent, 1)) >= 3 "degree in the first variable is too low" return g2, phi2 end @@ -1387,3 +1506,180 @@ function _is_in_weierstrass_form(f::MPolyElem) return f == (-(y^2 + a1*x*y + a3*y) + (x^3 + a2*x^2 + a4*x + a6)) end +function evaluate(f::AbstractAlgebra.Generic.Frac{<:MPolyRingElem}, a::Vector{T}) where {T<:RingElem} + return evaluate(numerator(f), a)//evaluate(denominator(f), a) +end + +function evaluate(f::AbstractAlgebra.Generic.Frac{<:PolyRingElem}, a::RingElem) + return evaluate(numerator(f), a)//evaluate(denominator(f), a) +end + +function extend_domain_to_fraction_field(phi::Map{<:MPolyRing, <:Ring}) + ext_dom = fraction_field(domain(phi)) + return MapFromFunc(ext_dom, codomain(phi), x->phi(numerator(x))*inv(phi(denominator(x)))) +end + +######################################################################## +# The three conversions from Section 39.1 in +# A. Kumar: "Elliptic Fibrations on a generic Jacobian Kummer surface" +# pp. 44--45. +######################################################################## + +function _elliptic_parameter_conversion(X::EllipticSurface, u::VarietyFunctionFieldElem; + case::Symbol=:case1, names=[:x, :y, :t] + ) + @req length(names) == 3 "need 3 variable names x, y, t" + U = weierstrass_chart(X) + R = ambient_coordinate_ring(U) + x, y, t = gens(R) + loc_eqn = first(gens(modulus(OO(U)))) + E = generic_fiber(X)::EllCrv + f = equation(E) + kk = base_ring(X) + kkt_frac_XY = parent(f)::MPolyRing + (xx, yy) = gens(kkt_frac_XY) + kkt_frac = coefficient_ring(kkt_frac_XY)::AbstractAlgebra.Generic.FracField + kkt = base_ring(kkt_frac)::PolyRing + T = first(gens(kkt)) + +# kk = base_ring(U) +# kkt, T = polynomial_ring(kk, :T, cached=false) +# kkt_frac = fraction_field(kkt) +# kkt_frac_XY, (xx, yy) = polynomial_ring(kkt_frac, [:X, :Y], cached=false) + R_to_kkt_frac_XY = hom(R, kkt_frac_XY, [xx, yy, kkt_frac_XY(T)]) + + f_loc = first(gens(modulus(OO(U)))) + @assert f == R_to_kkt_frac_XY(f_loc) && _is_in_weierstrass_form(f) "local equation is not in Weierstrass form" + a = a_invars(E) + + u_loc = u[U]::AbstractAlgebra.Generic.Frac # the representative on the Weierstrass chart + + # Set up the ambient_coordinate_ring of the new Weierstrass-chart + kkt2, t2 = polynomial_ring(kk, names[3], cached=false) + kkt2_frac = fraction_field(kkt2) + S, (x2, y2) = polynomial_ring(kkt2_frac, names[1:2], cached=false) + FS = fraction_field(S) + + # Helper function + my_const(u::MPolyElem) = is_zero(u) ? zero(coefficient_ring(parent(u))) : first(coefficients(u)) + + if case == :case1 + # D = 2O + # We verify the assumptions made on p. 44 of + # A. Kumar: "Elliptic Fibrations on a generic Jacobian Kummer surface" + # for the first case considered there. + @assert all(x->isone(denominator(x)), a) "local equation does not have the correct form" + a = numerator.(a) + @assert iszero(a[1]) "local equation does not have the correct form" + @assert degree(a[2]) <= 4 "local equation does not have the correct form" + @assert iszero(a[3]) "local equation does not have the correct form" + @assert degree(a[4]) <= 8 "local equation does not have the correct form" + @assert degree(a[5]) <= 12 "local equation does not have the correct form" # This is really a₆ in the notation of the paper, a₅ does not exist. + + u_loc = u[U]::AbstractAlgebra.Generic.Frac # the representative on the Weierstrass chart + u_poly = R_to_kkt_frac_XY(numerator(u_loc))*inv(R_to_kkt_frac_XY(denominator(u_loc))) # Will throw if the latter is not a unit + + # Extract a(t) and b(t) as in the notation of the paper + a_t = my_const(coeff(u_poly, [xx, yy], [0, 0])) + b_t = my_const(coeff(u_poly, [xx, yy], [1, 0])) + + a_t = evaluate(a_t, x2) + b_t = evaluate(b_t, x2) + phi = hom(R, FS, FS.([(t2 - a_t)//b_t, y2, x2])) + f_trans = phi(f_loc) + return numerator(f_trans), phi + elseif case == :case2 + # D = O + P + # We verify the assumptions made on p. 44 of + # A. Kumar: "Elliptic Fibrations on a generic Jacobian Kummer surface" + # for the first case considered there. + @assert all(x->isone(denominator(x)), a) "local equation does not have the correct form" + a = numerator.(a) + @assert iszero(a[1]) "local equation does not have the correct form" + @assert degree(a[2]) <= 4 "local equation does not have the correct form" + @assert iszero(a[3]) "local equation does not have the correct form" + @assert degree(a[4]) <= 8 "local equation does not have the correct form" + @assert degree(a[5]) <= 12 "local equation does not have the correct form" # This is really a₆ in the notation of the paper, a₅ does not exist. + + u_num = R_to_kkt_frac_XY(numerator(u_loc)) + u_den = R_to_kkt_frac_XY(denominator(u_loc)) + @assert degree(u_num, 2) == 1 && degree(u_num, 1) == 0 "numerator does not have the correct degree" + @assert degree(u_den, 1) == 1 && degree(u_den, 2) == 0 "denominator does not have the correct degree" + + tmp = my_const(coeff(u_num, [xx, yy], [0, 1])) + y0 = my_const(coeff(u_num, [xx, yy], [0, 0])) + y0 = divexact(y0, tmp) + tmp = my_const(coeff(u_den, [xx, yy], [1, 0])) + x0 = -my_const(coeff(u_den, [xx, yy], [0, 0])) + x0 = divexact(x0, tmp) + + # We expect a form as on p. 44, l. -4 + u_frac = u_num//u_den + @assert denominator(u_frac) == xx - x0 "fraction was not brought into the correct form" + u_num = numerator(u_frac) + @assert degree(u_num, 1) == 0 && degree(u_num, 2) <= 1 "numerator is not in the correct form" + b_t = my_const(coeff(u_num, [xx, yy], [0, 1])) + tmp = u_num - b_t * (yy + y0) + success, tmp = divides(tmp, xx - x0) + @assert success "numerator is not in the correct form" + a_t = my_const(coeff(tmp, [xx, yy], [0, 0])) + + # We have + # + # y ↦ (u - a_t) * (x - x₀) / b_t - y₀ = (t₂ - a_t(x₂)) * (y₂ - x₀(x₂)) / b_t(x₂) - y₀(x₂) + # x ↦ y₂ + # t ↦ x₂ + phi = hom(R, FS, FS.([y2, (t2 - evaluate(a_t, x2)) * (y2 - evaluate(x0, x2)) // evaluate(b_t, x2) - evaluate(y0, x2), x2])) + f_trans = phi(f_loc) + eqn1 = numerator(f_trans) + # According to + # A. Kumar: "Elliptic Fibrations on a generic Jacobian Kummer surface" + # p. 45, l. 1 we expect the following cancellation to be possible: + success, eqn1 = divides(eqn1, y2 - evaluate(numerator(x0), x2)*inv(evaluate(denominator(x0), x2))) + @assert success "division failed" + return eqn1, phi + elseif case == :case3 + # D = O + T + # We verify the assumptions made on p. 44 of + # A. Kumar: "Elliptic Fibrations on a generic Jacobian Kummer surface" + # for the first case considered there. + @assert all(x->isone(denominator(x)), a) "local equation does not have the correct form" + a = numerator.(a) + @assert iszero(a[1]) "local equation does not have the correct form" + @assert degree(a[2]) <= 4 "local equation does not have the correct form" + @assert iszero(a[3]) "local equation does not have the correct form" + @assert degree(a[4]) <= 8 "local equation does not have the correct form" + @assert iszero(a[5]) "local equation does not have the correct form" # This is really a₆ in the notation of the paper, a₅ does not exist. + + #u_poly = R_to_kkt_frac_XY(numerator(u_loc))//(R_to_kkt_frac_XY(denominator(u_loc)))::AbstractAlgebra.Generic.Frac + #u_num = numerator(u_poly) + #u_den = denominator(u_poly) + u_num = R_to_kkt_frac_XY(numerator(u_loc)) + u_den = R_to_kkt_frac_XY(denominator(u_loc)) + u_frac = u_num//u_den + @assert denominator(u_frac) == xx "elliptic parameter was not brought to the correct form" + u_num = numerator(u_frac) + @assert degree(u_num, 1) <= 1 && degree(u_num, 2) <= 1 "numerator does not have the correct degrees" + a_t = my_const(coeff(u_num, [xx, yy], [1, 0])) + b_t = my_const(coeff(u_num, [xx, yy], [0, 1])) + + # New Weierstrass equation is of the form + # + # x^2 = h(t, u) + # + # so y₂ = x, x₂ = t, and t₂ = u. + # + # We have u = a_t + b_t * y/x ⇒ y = (u - a_t) * x / b_t = (t₂ - a_t(x₂)) * y₂ / b_t(x₂) + phi = hom(R, FS, FS.([y2, (t2 - evaluate(a_t, x2)) * y2 // evaluate(b_t, x2), x2])) + f_trans = phi(f_loc) + eqn1 = numerator(f_trans) + # According to + # A. Kumar: "Elliptic Fibrations on a generic Jacobian Kummer surface" + # p. 45, l. 15 we expect the following cancellation to be possible: + success, eqn1 = divides(eqn1, y2) + @assert success "equation did not come out in the anticipated form" + return eqn1, phi + else + error("case not recognized") + end +end diff --git a/src/AlgebraicGeometry/Schemes/AffineVariety/Objects/Methods.jl b/src/AlgebraicGeometry/Schemes/AffineVariety/Objects/Methods.jl index 9a7ce95ba9d4..b71a00e9b808 100644 --- a/src/AlgebraicGeometry/Schemes/AffineVariety/Objects/Methods.jl +++ b/src/AlgebraicGeometry/Schemes/AffineVariety/Objects/Methods.jl @@ -80,7 +80,7 @@ end # allowed, but we keep as an option of not printing the coordinates. For # instance, in some nested printings for morphisms, we might have already # mentioned the coordinates, and so `show_coord = false` ensures that we avoid -# redundacy +# redundancy function Base.show(io::IO, X::AffineVariety{<:Field, <:MPolyRing}, show_coord::Bool = true) io = pretty(io) if get(io, :supercompact, false) diff --git a/src/AlgebraicGeometry/Schemes/Covering/Objects/Attributes.jl b/src/AlgebraicGeometry/Schemes/Covering/Objects/Attributes.jl index 99cc304395c7..829c72c56a4d 100644 --- a/src/AlgebraicGeometry/Schemes/Covering/Objects/Attributes.jl +++ b/src/AlgebraicGeometry/Schemes/Covering/Objects/Attributes.jl @@ -56,7 +56,7 @@ defined by the ``fᵢⱼ`` give rise to a decomposition of ``X`` as a **disjoint ``X = \bigcup_{i} Z_i`` of locally closed subvarieties. This information can be used for local computations in any chart ``Uᵢ`` of ``X`` -as above to focus on phenomena occuring exclusively along ``Zᵢ`` and assuming +as above to focus on phenomena occurring exclusively along ``Zᵢ`` and assuming that other cases have been handled by computations in other charts. A key application is counting points of zero-dimensional subschemes: To avoid overcounting, we need to only consider points in ``Uᵢ`` which are located within ``Zᵢ`` and diff --git a/src/AlgebraicGeometry/Schemes/Glueing/Methods.jl b/src/AlgebraicGeometry/Schemes/Glueing/Methods.jl index c9d08b690b19..a1e8bccd0559 100644 --- a/src/AlgebraicGeometry/Schemes/Glueing/Methods.jl +++ b/src/AlgebraicGeometry/Schemes/Glueing/Methods.jl @@ -6,7 +6,7 @@ # coordinates so that on each open subset, the coordinates and the respective # descriptions are all aligned on the left, in an appropriate alignment and # distance. Moreover, since the glueing is given by some maps, we take care that -# the arrows are aligned and so arguments are alignes on the right and their +# the arrows are aligned and so arguments are aligns on the right and their # respective images are aligned on the left. function Base.show(io::IO, ::MIME"text/plain", G::AbsGlueing) io = pretty(io) diff --git a/src/AlgebraicGeometry/Schemes/ProjectiveAlgebraicSet/Objects/Attributes.jl b/src/AlgebraicGeometry/Schemes/ProjectiveAlgebraicSet/Objects/Attributes.jl index db229a7e1728..f9d792f3945e 100644 --- a/src/AlgebraicGeometry/Schemes/ProjectiveAlgebraicSet/Objects/Attributes.jl +++ b/src/AlgebraicGeometry/Schemes/ProjectiveAlgebraicSet/Objects/Attributes.jl @@ -31,7 +31,7 @@ vanishing_ideal(X::AbsProjectiveAlgebraicSet) = defining_ideal(X) @doc raw""" fat_ideal(X::AbsProjectiveAlgebraicSet) -> Ideal -Return a homogenous ideal whose radical is the vanishing ideal of `X`. +Return a homogeneous ideal whose radical is the vanishing ideal of `X`. """ fat_ideal(X::AbsProjectiveAlgebraicSet) = defining_ideal(fat_scheme(X)) diff --git a/src/AlgebraicGeometry/ToricVarieties/JToric.jl b/src/AlgebraicGeometry/ToricVarieties/JToric.jl index 9f001107ac5e..9fef8aabd9e0 100644 --- a/src/AlgebraicGeometry/ToricVarieties/JToric.jl +++ b/src/AlgebraicGeometry/ToricVarieties/JToric.jl @@ -84,4 +84,5 @@ include("ToricMorphisms/constructors.jl") include("ToricMorphisms/attributes.jl") include("ToricMorphisms/standard_constructions.jl") +include("Proj/constructors.jl") include("ToricSchemes/attributes.jl") diff --git a/src/AlgebraicGeometry/ToricVarieties/Proj/constructors.jl b/src/AlgebraicGeometry/ToricVarieties/Proj/constructors.jl new file mode 100644 index 000000000000..7c96b0d65e4d --- /dev/null +++ b/src/AlgebraicGeometry/ToricVarieties/Proj/constructors.jl @@ -0,0 +1,96 @@ +@doc raw""" + proj(E::ToricLineBundle...) + +This function computes the projectivization of a direct sum of line bundles or divisors. +Please see [OM78](@cite) for more background information. + +# Examples +Let us construct the projective bundles ``X=\mathbb{P}(\mathcal{O}_{\mathbb{P}^1}\oplus\mathcal{O}_{\mathbb{P}^1}(1))`` and ``Y=\mathbb{P}(\mathcal{O}_{\mathbb{P}^1}\oplus\mathcal{O}_{\mathbb{P}^1}(2))``. +```jldoctest +julia> P1 = projective_space(NormalToricVariety, 1); + +julia> D0 = toric_divisor(P1, [0,0]); + +julia> D1 = toric_divisor(P1, [1,0]); + +julia> X = proj(D0, D1) +Normal toric variety + +julia> L0 = toric_line_bundle(P1, [0]); + +julia> L1 = toric_line_bundle(P1, [2]); + +julia> Y = proj(L0, L1) +Normal toric variety +``` +""" +function proj(E::ToricLineBundle...) + return _proj([E...]) +end + +function proj(E::ToricDivisor...) + return _proj([E...]) +end + +function proj() + @req false "The direct sum is empty." +end + +function _proj(E::Vector{T}) where T <: Union{ToricDivisor, ToricLineBundle} + + v = toric_variety(E[1]) + + length(E) == 1 && return v + + @req all(i -> toric_variety(E[i]) == v, eachindex(E)) "The divisors are defined on different toric varieties." + + PF_Pr = normal_fan(simplex(length(E) - 1)) + l = rays(PF_Pr) + + modified_ray_gens = Dict{RayVector{QQFieldElem}, RayVector{QQFieldElem}}() + + for sigma in maximal_cones(v) + pol_sigma = polarize(sigma) + for ray in rays(sigma) + ray in keys(modified_ray_gens) && continue + modified_ray_gens[ray] = vcat(ray, -sum(i -> dot(_m_sigma(sigma, pol_sigma, E[i]), ray) * l[i], eachindex(E))) + end + length(keys(modified_ray_gens)) == nrays(v) && break + end + + new_maximal_cones = Vector{Vector{Int64}}(undef, n_maximal_cones(v) * length(E)) + index = 1 + + for a in 1:n_maximal_cones(v) + first = [row(ray_indices(maximal_cones(v)), a)...] + for b in eachindex(E) + second = [row(ray_indices(maximal_cones(PF_Pr)), b)...] .+ nrays(v) + new_maximal_cones[index] = vcat(first, second) + index += 1 + end + end + + total_rays_gens = vcat([modified_ray_gens[ray] for ray in rays(v)], [vcat(RayVector(zeros(Int64, dim(v))), l[i]) for i in eachindex(E)]) + + return normal_toric_variety(polyhedral_fan(total_rays_gens, IncidenceMatrix(new_maximal_cones))) +end + +function _m_sigma(sigma::Cone{QQFieldElem}, pol_sigma::Cone{QQFieldElem}, D::Union{ToricDivisor, ToricLineBundle})::RayVector{QQFieldElem} + + ans = RayVector(zeros(QQFieldElem, dim(sigma))) + coeff = coefficients(isa(D, ToricDivisor) ? D : toric_divisor(D)) + + dual_ray = QQFieldElem[] + + for ray in rays(sigma) + for pol_ray in rays(pol_sigma) + dot(ray, pol_ray) == 0 && continue + dual_ray = lcm(denominator.(pol_ray)) * pol_ray + break + end + i = findfirst(j -> j == ray, rays(toric_variety(D))) + ans -= coeff[i] * dual_ray + end + + return ans +end diff --git a/src/Modules/UngradedModules.jl b/src/Modules/UngradedModules.jl index 9ddf672e64a1..38acc7c1be55 100644 --- a/src/Modules/UngradedModules.jl +++ b/src/Modules/UngradedModules.jl @@ -4965,7 +4965,7 @@ function show_morphism(f::ModuleFPHom) end @doc raw""" - hom_tensor(M::ModuleFP, N::ModuleFP, V::Vector{ <: ModuleFPHom}) + hom_tensor(M::ModuleFP, N::ModuleFP, V::Vector{<:ModuleFPHom}) Given modules `M`, `N` which are tensor products with the same number of factors, say $M = M_1 \otimes \cdots \otimes M_r$, $N = N_1 \otimes \cdots \otimes N_r$, @@ -4998,8 +4998,8 @@ end @doc raw""" hom_product(M::ModuleFP, N::ModuleFP, A::Matrix{<:ModuleFPHom}) -Given modules `M`, `N` which are products with the same number of factors, -say $M = \prod_{i=1}^r M_i$, $N = \prod_{j=1}^r N_j$, and given a matrix +Given modules `M` and `N` which are products with `r` respective `s` factors, +say $M = \prod_{i=1}^r M_i$, $N = \prod_{j=1}^s N_j$, and given a $r \times s$ matrix `A` of homomorphisms $a_{ij} : M_i \to N_j$, return the homomorphism $M \to N$ with $ij$-components $a_{ij}$. """ diff --git a/src/PolyhedralGeometry/Polyhedron/standard_constructions.jl b/src/PolyhedralGeometry/Polyhedron/standard_constructions.jl index 8b7d84082cb6..c78d007b4014 100644 --- a/src/PolyhedralGeometry/Polyhedron/standard_constructions.jl +++ b/src/PolyhedralGeometry/Polyhedron/standard_constructions.jl @@ -1643,7 +1643,7 @@ julia> vertices(c) """ function goldfarb_cube(d::Int, e::Number, g::Number) m = 8 * sizeof(Int) - 2 - @req 1 <= d <= m "dimension ot of range (1,..," * string(m) * ")" + @req 1 <= d <= m "dimension out of range (1,..," * string(m) * ")" @req e < 1//2 "e < 1/2" @req g <= e / 4 "g <= e/4" return polyhedron(Polymake.polytope.goldfarb(d, e, g)) @@ -1679,7 +1679,7 @@ julia> vertices(c) """ function goldfarb_sit_cube(d::Int, eps::Number, delta::Number) m = 8 * sizeof(Int) - 2 - @req 1 <= d <= m "dimension ot of range (1,..," * string(m) * ")" + @req 1 <= d <= m "dimension out of range (1,..," * string(m) * ")" @req eps < 1//2 "eps < 1/2" @req delta <= 1//2 "delta <= 1/2" return polyhedron(Polymake.polytope.goldfarb_sit(d, eps, delta)) @@ -1770,7 +1770,7 @@ x₁ ≦ 1 """ function klee_minty_cube(d::Int, e::Number) m = 8 * sizeof(Int) - 2 - @req 1 <= d <= m "dimension ot of range (1,..," * string(m) * ")" + @req 1 <= d <= m "dimension out of range (1,..," * string(m) * ")" @req e < 1 / 2 "e < 1/2 required" return goldfarb_cube(d, e, 0) end diff --git a/src/Rings/AlgClosureFp.jl b/src/Rings/AlgClosureFp.jl index 0e8e1d343602..00da1547d415 100644 --- a/src/Rings/AlgClosureFp.jl +++ b/src/Rings/AlgClosureFp.jl @@ -90,6 +90,18 @@ function ext_of_degree(A::AlgClosure, d::Int) if haskey(A.fld, d) return A.fld[d] end + + #see if the subfield lattice already has the field... + for x = values(A.fld) + degree(x) % d == 0 || continue + for (deg, mK) = Nemo.subfields(x) + if d == deg + A.fld[d] = K = domain(mK[1]) + return K + end + end + end + k = base_ring(A) if isa(k, Nemo.fpField) || isa(k, fqPolyRepField) K = GF(Int(characteristic(k)), d, cached = false) @@ -279,7 +291,7 @@ end algebraic_closure(F::FinField) Let `F` be a prime field of order `p`. -Return a field `K` that is the union of finite fields of oder `p^d`, +Return a field `K` that is the union of finite fields of order `p^d`, for all positive integers `d`. The degree `d` extension of `F` can be obtained as `ext_of_degree(K, d)`. diff --git a/src/Rings/MPolyQuo.jl b/src/Rings/MPolyQuo.jl index f3b09223e46d..216f91ffe3a8 100644 --- a/src/Rings/MPolyQuo.jl +++ b/src/Rings/MPolyQuo.jl @@ -895,7 +895,7 @@ function (Q::MPolyQuoRing)(a::MPolyQuoRingElem; check::Bool=true) end function(Q::MPolyRing{T})(a::MPolyQuoRingElem{<:MPolyRingElem{T}}; check::Bool=false) where {T} - @req base_ring(parent(a)) === Q "parent missmatch" + @req base_ring(parent(a)) === Q "parent mismatch" return lift(a) end diff --git a/src/Rings/hilbert.jl b/src/Rings/hilbert.jl index 7b1bed42b74d..b8c422261f89 100644 --- a/src/Rings/hilbert.jl +++ b/src/Rings/hilbert.jl @@ -855,7 +855,7 @@ function HSNum_loop(SimplePPs::Vector{PP}, NonSimplePPs::Vector{PP}, T::Vector{ push!(NotBM_mixed, colon(t,PivotPP)) end end - # At this poiint we have 3 disjoint lists of PPs: + # At this point we have 3 disjoint lists of PPs: # BM (big multiples), # NotBM_coprime, # NotBM_mixed diff --git a/src/Serialization/Algebras.jl b/src/Serialization/Algebras.jl index 110fa0d73b8f..5205b016b712 100644 --- a/src/Serialization/Algebras.jl +++ b/src/Serialization/Algebras.jl @@ -2,10 +2,10 @@ # FreeAssAlgebra # Free associative algebra serialization -@registerSerializationType(FreeAssAlgebra, true) +@register_serialization_type FreeAssAlgebra uses_id function save_object(s::SerializerState, A::FreeAssAlgebra) - data_dict(s) do + save_data_dict(s) do save_typed_object(s, base_ring(A), :base_ring), save_object(s, symbols(A), :symbols) end @@ -18,15 +18,14 @@ function load_object(s::DeserializerState, ::Type{<:FreeAssAlgebra}, dict::Dict) end # Free associative algebra element serialization -@registerSerializationType(FreeAssAlgElem) -type_needs_params(::Type{<:FreeAssAlgElem}) = true +@register_serialization_type FreeAssAlgElem uses_params # see save_type_params in Rings function save_object(s::SerializerState, f::FreeAssAlgElem) - data_array(s) do + save_data_array(s) do for term in terms(f) - data_array(s) do + save_data_array(s) do save_object(s, collect(exponent_words(term))[1]) save_object(s, collect(coefficients(term))[1]) end @@ -52,5 +51,4 @@ function load_object(s::DeserializerState, ::Type{<:FreeAssAlgElem}, end # Ideals -@registerSerializationType(FreeAssAlgIdeal) -type_needs_params(::Type{<:FreeAssAlgIdeal}) = true +@register_serialization_type FreeAssAlgIdeal uses_params diff --git a/src/Serialization/Combinatorics.jl b/src/Serialization/Combinatorics.jl index cbfafd8d09b9..6ecd7f452e73 100644 --- a/src/Serialization/Combinatorics.jl +++ b/src/Serialization/Combinatorics.jl @@ -3,14 +3,14 @@ using JSON ############################################################################### ## Graphs ############################################################################### -@registerSerializationType(Graph{Directed}, "Graph{Directed}") -@registerSerializationType(Graph{Undirected}, "Graph{Undirected}") +@register_serialization_type Graph{Directed} "Graph{Directed}" +@register_serialization_type Graph{Undirected} "Graph{Undirected}" function save_object(s::SerializerState, g::Graph{T}) where T <: Union{Directed, Undirected} smallobject = pm_object(g) serialized = Polymake.call_function(Symbol("Core::Serializer"), :serialize, smallobject) jsonstr = Polymake.call_function(:common, :encode_json, serialized) - data_json(s, jsonstr) + save_data_json(s, jsonstr) end @@ -22,12 +22,12 @@ end ############################################################################### ## IncidenceMatrix ############################################################################### -@registerSerializationType(Polymake.IncidenceMatrixAllocated{Polymake.NonSymmetric}) +@register_serialization_type Polymake.IncidenceMatrixAllocated{Polymake.NonSymmetric} function save_object(s::SerializerState, IM::IncidenceMatrix) serialized = Polymake.call_function(Symbol("Core::Serializer"), :serialize, IM) jsonstr = Polymake.call_function(:common, :encode_json, serialized) - data_json(s, jsonstr) + save_data_json(s, jsonstr) end function load_object(s::DeserializerState, ::Type{<: IncidenceMatrix}, dict::Dict) @@ -39,7 +39,7 @@ end ############################################################################### ## SimplicialComplex ############################################################################### -@registerSerializationType(SimplicialComplex) +@register_serialization_type SimplicialComplex function save_object(s::SerializerState, K::SimplicialComplex) save_object(s, pm_object(K)) diff --git a/src/Serialization/Fields.jl b/src/Serialization/Fields.jl index 85355a8912f8..79c1a6367091 100644 --- a/src/Serialization/Fields.jl +++ b/src/Serialization/Fields.jl @@ -1,12 +1,14 @@ ################################################################################ # Utility functions for parent tree function get_parents(parent_ring::Field) - if has_elem_basic_encoding(parent_ring) - return Any[] + # we have reached the end of the parent references and the current ring + # can be found as the base_ring of the previous parent without ambiguity + if !serialize_with_id(parent_ring) + return RingMatSpaceUnion[] end if absolute_degree(parent_ring) == 1 - return Any[] + return RingMatSpaceUnion[] end base = parent(defining_polynomial(parent_ring)) parents = get_parents(base) @@ -25,8 +27,10 @@ end function get_parents(parent_ring::T) where T <: Union{FracField, AbstractAlgebra.Generic.RationalFunctionField, AbstractAlgebra.Generic.LaurentSeriesField} - if has_elem_basic_encoding(parent_ring) - return Any[] + # we have reached the end of the parent references and the current ring + # can be found as the base_ring of the previous parent without ambiguity + if !serialize_with_id(parent_ring) + return RingMatSpaceUnion[] end base = base_ring(parent_ring) @@ -47,12 +51,11 @@ end ################################################################################ # field of rationals (singleton type) -@registerSerializationType(QQField) +@register_serialization_type QQField ################################################################################ # non-ZZRingElem variant -@registerSerializationType(Nemo.fpField) -has_elem_basic_encoding(obj::Nemo.fpField) = true +@register_serialization_type Nemo.fpField function save_object(s::SerializerState, F::Nemo.fpField) save_object(s, string(characteristic(F))) @@ -63,11 +66,10 @@ function load_object(s::DeserializerState, ::Type{Nemo.fpField}, str::String) end # elements -@registerSerializationType(fpFieldElem) -type_needs_params(T::Type{fpFieldElem}) = true +@register_serialization_type fpFieldElem uses_params function save_object(s::SerializerState, elem::fpFieldElem) - data_basic(s, string(elem)) + save_data_basic(s, string(elem)) end function load_object(s::DeserializerState, ::Type{fpFieldElem}, @@ -77,8 +79,7 @@ end ################################################################################ # ZZRingElem variant -@registerSerializationType(Nemo.FpField) -has_elem_basic_encoding(obj::Nemo.FpField) = true +@register_serialization_type Nemo.FpField function save_object(s::SerializerState, F::Nemo.FpField) save_object(s, string(characteristic(F))) @@ -89,11 +90,10 @@ function load_object(s::DeserializerState, ::Type{Nemo.FpField}, str::String) end # elements -@registerSerializationType(FpFieldElem) -type_needs_params(T::Type{FpFieldElem}) = true +@register_serialization_type FpFieldElem uses_params function save_object(s::SerializerState, elem::FpFieldElem) - data_basic(s, string(elem)) + save_data_basic(s, string(elem)) end function load_object(s::DeserializerState, ::Type{FpFieldElem}, @@ -104,11 +104,11 @@ end ################################################################################ # SimpleNumField -@registerSerializationType(Hecke.NfRel, true) -@registerSerializationType(AnticNumberField, true) +@register_serialization_type Hecke.NfRel uses_id +@register_serialization_type AnticNumberField uses_id function save_object(s::SerializerState, K::SimpleNumField) - data_dict(s) do + save_data_dict(s) do save_typed_object(s, defining_polynomial(K), :def_pol) save_object(s, var(K), :var) end @@ -123,10 +123,10 @@ end ################################################################################ # FqNmodfinitefield -@registerSerializationType(fqPolyRepField, true) +@register_serialization_type fqPolyRepField uses_id function save_object(s::SerializerState, K::fqPolyRepField) - data_dict(s) do + save_data_dict(s) do save_typed_object(s, defining_polynomial(K), :def_pol) end end @@ -140,11 +140,10 @@ function load_object(s::DeserializerState, end #elements -@registerSerializationType(fqPolyRepFieldElem) -@registerSerializationType(nf_elem) -@registerSerializationType(Hecke.NfRelElem) +@register_serialization_type fqPolyRepFieldElem uses_params +@register_serialization_type nf_elem uses_params +@register_serialization_type Hecke.NfRelElem uses_params const NumFieldElemTypeUnion = Union{nf_elem, fqPolyRepFieldElem, Hecke.NfRelElem} -type_needs_params(T::Type{<:NumFieldElemTypeUnion}) = true function save_object(s::SerializerState, k::NumFieldElemTypeUnion) K = parent(k) @@ -162,16 +161,14 @@ end ################################################################################ # FqField -@registerSerializationType(FqField, true) -@registerSerializationType(FqFieldElem) -type_needs_params(::Type{FqFieldElem}) = true -has_elem_basic_encoding(obj::FqField) = absolute_degree(obj) == 1 +@register_serialization_type FqField uses_id +@register_serialization_type FqFieldElem uses_params function save_object(s::SerializerState, K::FqField) if absolute_degree(K) == 1 save_object(s, order(K)) else - data_dict(s) do + save_data_dict(s) do save_typed_object(s, defining_polynomial(K)) end end @@ -217,12 +214,12 @@ end ################################################################################ # Non Simple Extension -@registerSerializationType(Hecke.NfRelNS, true) -@registerSerializationType(NfAbsNS, true) +@register_serialization_type Hecke.NfRelNS uses_id +@register_serialization_type NfAbsNS uses_id function save_object(s::SerializerState, K::Union{NfAbsNS, NfRelNS}) def_pols = defining_polynomials(K) - data_dict(s) do + save_data_dict(s) do save_typed_object(s, def_pols, :def_pols) save_object(s, vars(K), :vars) end @@ -238,9 +235,8 @@ function load_object(s::DeserializerState, end #elements -@registerSerializationType(Hecke.NfRelNSElem) -@registerSerializationType(NfAbsNSElem) -type_needs_params(::Type{<:Union{NfAbsNSElem, Hecke.NfRelNSElem}}) = true +@register_serialization_type Hecke.NfRelNSElem uses_params +@register_serialization_type NfAbsNSElem uses_params function save_object(s::SerializerState, k::Union{NfAbsNSElem, Hecke.NfRelNSElem}) polynomial = Oscar.Hecke.data(k) @@ -262,14 +258,16 @@ end ################################################################################ # FracField -@registerSerializationType(FracField, true) +@register_serialization_type FracField uses_id function save_object(s::SerializerState, K::FracField) - save_typed_object(s, base_ring(K), :data) + save_data_dict(s) do + save_typed_object(s, base_ring(K), :base_ring) + end end function load_object(s::DeserializerState, ::Type{<: FracField}, dict::Dict) - R = load_typed_object(s, dict) + R = load_typed_object(s, dict[:base_ring]) return fraction_field(R, cached=false) end @@ -281,12 +279,11 @@ function load_object(s::DeserializerState, ::Type{<: FracField}, str::String) end # elements -@registerSerializationType(FracElem) -# might need a better way to block QQFieldElem here so that more FracElems can be serialized -type_needs_params(::Type{<:FracElem{T}}) where T <: Union{MPolyRingElem, PolyRingElem, UniversalPolyRingElem} = true +# we use the union to prevent QQFieldElem being registered here +@register_serialization_type FracElem{<:Union{MPolyRingElem, PolyRingElem, UniversalPolyRingElem}} "FracElem" uses_params function save_object(s::SerializerState, f::FracElem) - data_array(s) do + save_data_array(s) do save_object(s, numerator(f)) save_object(s, denominator(f)) end @@ -305,13 +302,11 @@ end ################################################################################ # RationalFunctionField -@registerSerializationType(AbstractAlgebra.Generic.RationalFunctionField, - true, - "RationalFunctionField") +@register_serialization_type AbstractAlgebra.Generic.RationalFunctionField "RationalFunctionField" uses_id function save_object(s::SerializerState, RF::AbstractAlgebra.Generic.RationalFunctionField) - data_dict(s) do + save_data_dict(s) do save_typed_object(s, base_ring(RF), :base_ring) syms = symbols(RF) save_object(s, syms, :symbols) @@ -332,13 +327,10 @@ function load_object(s::DeserializerState, end #elements -@registerSerializationType(AbstractAlgebra.Generic.RationalFunctionFieldElem, - true, - "RationalFunctionFieldElem") -type_needs_params(::Type{<: AbstractAlgebra.Generic.RationalFunctionFieldElem}) = true +@register_serialization_type AbstractAlgebra.Generic.RationalFunctionFieldElem "RationalFunctionFieldElem" uses_params function save_object(s::SerializerState, f::AbstractAlgebra.Generic.RationalFunctionFieldElem) - data_array(s) do + save_data_array(s) do save_object(s, numerator(f)) save_object(s, denominator(f)) end @@ -358,10 +350,8 @@ end ################################################################################ # ArbField -@registerSerializationType(ArbField) -@registerSerializationType(arb) -has_elem_basic_encoding(obj::ArbField) = true -type_needs_params(::Type{arb}) = true +@register_serialization_type ArbField +@register_serialization_type arb uses_params function save_object(s::SerializerState, RR::Nemo.ArbField) save_object(s, precision(RR)) @@ -391,10 +381,8 @@ end ################################################################################ # AcbField -@registerSerializationType(AcbField) -@registerSerializationType(acb) -has_elem_basic_encoding(obj::AcbField) = true -type_needs_params(::Type{acb}) = true +@register_serialization_type AcbField +@register_serialization_type acb uses_params function save_object(s::SerializerState, CC::AcbField) save_object(s, precision(CC)) @@ -407,7 +395,7 @@ end # elements function save_object(s::SerializerState, c::acb) - data_array(s) do + save_data_array(s) do save_object(s, real(c)) save_object(s, imag(c)) end @@ -423,14 +411,14 @@ end ################################################################################ # Field Embeddings -@registerSerializationType(Hecke.NumFieldEmbNfAbs, true) +@register_serialization_type Hecke.NumFieldEmbNfAbs uses_id function save_object(s::SerializerState, E::Hecke.NumFieldEmbNfAbs) K = number_field(E) g = gen(K) g_ball = E(g) - data_dict(s) do + save_data_dict(s) do save_typed_object(s, K, :num_field) save_typed_object(s, g_ball, :gen_ball) end @@ -443,13 +431,13 @@ function load_object(s::DeserializerState, ::Type{Hecke.NumFieldEmbNfAbs}, dict: return complex_embedding(K, gen_ball) end -@registerSerializationType(Hecke.NumFieldEmbNfAbsNS, true) +@register_serialization_type Hecke.NumFieldEmbNfAbsNS uses_id function save_object(s::SerializerState, E::Hecke.NumFieldEmbNfAbsNS) K = number_field(E) gen_balls = map(E, gens(K)) - data_dict(s) do + save_data_dict(s) do save_typed_object(s, K, :num_field) save_typed_object(s, gen_balls, :gen_balls) end @@ -464,10 +452,10 @@ end ################################################################################ # Padic Field -@registerSerializationType(FlintPadicField) +@register_serialization_type FlintPadicField function save_object(s::SerializerState, P::FlintPadicField) - data_dict(s) do + save_data_dict(s) do save_object(s, prime(P), :prime) save_object(s, precision(P), :precision) end @@ -481,8 +469,7 @@ function load_object(s::DeserializerState, ::Type{FlintPadicField}, dict::Dict) end #elements -@registerSerializationType(padic) -type_needs_params(::Type{padic}) = true +@register_serialization_type padic uses_params function save_object(s::SerializerState, obj::padic) # currently it seems padics do not store the underlying polynomial diff --git a/src/Serialization/PolyhedralGeometry.jl b/src/Serialization/PolyhedralGeometry.jl index 9e4a59140433..94e1e0fde7d8 100644 --- a/src/Serialization/PolyhedralGeometry.jl +++ b/src/Serialization/PolyhedralGeometry.jl @@ -29,10 +29,9 @@ end ############################################################################## # Abstract Polyhedral Object -type_needs_params(::Type{<:PolyhedralObject}) = true function save_type_params(s::SerializerState, obj::T) where T <: PolyhedralObject - data_dict(s) do + save_data_dict(s) do save_object(s, encode_type(T), :name) save_typed_object(s, coefficient_field(obj), :params) end @@ -57,13 +56,13 @@ function load_object(s::DeserializerState, T::Type{<:PolyhedralObject{S}}, end ############################################################################## -@registerSerializationType(LinearProgram) +@register_serialization_type LinearProgram uses_params function save_object(s::SerializerState, lp::LinearProgram) lpcoeffs = lp.polymake_lp.LINEAR_OBJECTIVE serialized = Polymake.call_function(Symbol("Core::Serializer"), :serialize, lpcoeffs) jsonstr = Polymake.call_function(:common, :encode_json, serialized) - data_dict(s) do + save_data_dict(s) do save_object(s, lp.feasible_region, :feasible_region) save_object(s, lp.convention, :convention) save_json(s, jsonstr, :lpcoeffs) @@ -89,7 +88,7 @@ function load_object(s::DeserializerState, ::Type{<:LinearProgram}, end ############################################################################## -@registerSerializationType(MixedIntegerLinearProgram) +@register_serialization_type MixedIntegerLinearProgram uses_params function save_object(s::SerializerState, milp::MixedIntegerLinearProgram) milp_coeffs = milp.polymake_milp.LINEAR_OBJECTIVE @@ -100,7 +99,7 @@ function save_object(s::SerializerState, milp::MixedIntegerLinearProgram) Symbol("Core::Serializer"), :serialize, int_vars) coeffs_jsonstr = Polymake.call_function(:common, :encode_json, coeffs_serialized) int_vars_jsonstr = Polymake.call_function(:common, :encode_json, int_vars_serialized) - data_dict(s) do + save_data_dict(s) do save_object(s, milp.feasible_region, :feasible_region) save_object(s, milp.convention, :convention) save_json(s, coeffs_jsonstr, :milp_coeffs) @@ -137,8 +136,9 @@ function load_object(s::DeserializerState, ::Type{<: MixedIntegerLinearProgram}, end # use generic serialization for the other types: -@registerSerializationType(Cone) -@registerSerializationType(PolyhedralComplex) -@registerSerializationType(Polyhedron) -@registerSerializationType(PolyhedralFan) -@registerSerializationType(SubdivisionOfPoints) +@register_serialization_type Cone uses_params +@register_serialization_type PolyhedralComplex uses_params +@register_serialization_type Polyhedron uses_params +@register_serialization_type PolyhedralFan uses_params +@register_serialization_type SubdivisionOfPoints uses_params + diff --git a/src/Serialization/QuadForm.jl b/src/Serialization/QuadForm.jl index 630fe132182b..96de473294f0 100644 --- a/src/Serialization/QuadForm.jl +++ b/src/Serialization/QuadForm.jl @@ -1,11 +1,10 @@ ############################################################ # QuadSpace -@registerSerializationType(Hecke.QuadSpace) -@registerSerializationType(ZZLat) -type_needs_params(::Type{<: Hecke.QuadSpace}) = true +@register_serialization_type Hecke.QuadSpace uses_params +@register_serialization_type ZZLat function save_type_params(s::SerializerState, V::Hecke.QuadSpace) - data_dict(s) do + save_data_dict(s) do save_object(s, encode_type(Hecke.QuadSpace), :name) save_type_params(s, gram_matrix(V), :params) end @@ -24,16 +23,16 @@ function save_object(s::SerializerState, V::Hecke.QuadSpace) end function load_object(s::DeserializerState, ::Type{<:Hecke.QuadSpace}, - entries::Vector, params::Any) + entries::Vector, params::MatSpace) gram = load_object(s, MatElem, entries, params) - F = base_ring(params[end]) + F = base_ring(params) return quadratic_space(F, gram) end # We should move this somewhere else at some point, maybe when there is a section # on modules function save_object(s::SerializerState, L::ZZLat) - data_dict(s) do + save_data_dict(s) do save_typed_object(s, basis_matrix(L), :basis) save_typed_object(s, ambient_space(L), :ambient_space) end diff --git a/src/Serialization/Rings.jl b/src/Serialization/Rings.jl index 2069753e8280..6438207721e3 100644 --- a/src/Serialization/Rings.jl +++ b/src/Serialization/Rings.jl @@ -1,16 +1,21 @@ ################################################################################ -# Utility functions for ring parent tree -# TODO: this union will also need a better name at some point +# Common union types + +# this will need a better name at some point +const RingMatElemUnion = Union{RingElem, MatElem, FreeAssAlgElem} + +# this union will also need a better name at some point const RingMatSpaceUnion = Union{Ring, MatSpace, FreeAssAlgebra} + +################################################################################ +# Utility functions for ring parent tree + # builds parent tree function get_parents(parent_ring::T) where T <: RingMatSpaceUnion - # with new structure it seems like we may be able to remove the - # array of parents encoded, or at least it seems like it may - # make the code a bit cleaner, which will probably allow for - # this line, and the function it uses below to be removed. - # However i will leave this to a later PR. - if has_elem_basic_encoding(parent_ring) - return Any[] + # we have reached the end of the parent references and the current ring + # can be found as the base_ring of the previous parent without ambiguity + if !serialize_with_id(parent_ring) + return RingMatSpaceUnion[] end base = base_ring(parent_ring) @@ -19,26 +24,16 @@ function get_parents(parent_ring::T) where T <: RingMatSpaceUnion return parents end -function save_parents(s::SerializerState, parent_ring::T) where T <: RingMatSpaceUnion - parents = get_parents(parent_ring) - refs = [] - for p in parents - push!(refs, save_as_ref(s, p)) - end - return refs -end - ################################################################################ -# Handling RingElem / MatElem / FreeAssAlgElem params -# TODO this will need a better name at some point -const RingMatElemUnion = Union{RingElem, MatElem, FreeAssAlgElem} +# Handling RingElem MatElem, FieldElem ... Params + function save_type_params(s::SerializerState, x::T) where T <: RingMatElemUnion - data_dict(s) do + save_data_dict(s) do save_object(s, encode_type(T), :name) parent_x = parent(x) if serialize_with_id(parent_x) - parent_refs = save_parents(s, parent_x) - save_object(s, parent_refs, :params) + parent_ref = save_as_ref(s, parent_x) + save_object(s, parent_ref, :params) else save_typed_object(s, parent_x, :params) end @@ -49,18 +44,6 @@ function load_type_params(s::DeserializerState, ::Type{<:RingMatElemUnion}, dict return load_typed_object(s, dict) end -function load_type_params(s::DeserializerState, ::Type{<:RingMatElemUnion}, refs::Vector{Any}) - return load_parents(s, refs) -end - -function load_type_params(s::DeserializerState, ::Type{<:RingMatElemUnion}, parent_ring::T) where T <: RingMatSpaceUnion - return get_parents(parent_ring) -end - -# this should be properly dealt with later and is only an intermediate solution -# to getting the tests to pass when forcing a type and passing params -# ideally all load should look like this without passing a vector of parents - # fix for polynomial cases function load_object(s::DeserializerState, T::Type{<:RingMatElemUnion}, terms::Vector{Any}, parent_ring::RingMatSpaceUnion) @@ -75,18 +58,18 @@ function load_object(s::DeserializerState, T::Type{<:Union{RingElem, MPolyIdeal, return load_object(s, T, terms, parents) end - ################################################################################ # ring of integers (singleton type) -@registerSerializationType(ZZRing) +@register_serialization_type ZZRing ################################################################################ -# non simpleton base rings -@registerSerializationType(Nemo.zzModRing, "Nemo.zzModRing") -has_elem_basic_encoding(obj::Nemo.zzModRing) = true +# Mod Rings +@register_serialization_type Nemo.zzModRing +@register_serialization_type Nemo.ZZModRing +const ModRingUnion = Union{Nemo.zzModRing, Nemo.ZZModRing} -function save_object(s::SerializerState, R::Nemo.zzModRing) - save_object(s, string(modulus(R))) +function save_object(s::SerializerState, R::T) where T <: ModRingUnion + save_object(s, modulus(R)) end function load_object(s::DeserializerState, ::Type{Nemo.zzModRing}, str::String) @@ -94,29 +77,35 @@ function load_object(s::DeserializerState, ::Type{Nemo.zzModRing}, str::String) return Nemo.zzModRing(modulus) end +function load_object(s::DeserializerState, ::Type{Nemo.ZZModRing}, str::String) + modulus = ZZRingElem(str) + return Nemo.ZZModRing(modulus) +end + #elements -@registerSerializationType(zzModRingElem) -type_needs_params(T::Type{zzModRingElem}) = true +@register_serialization_type zzModRingElem uses_params +@register_serialization_type ZZModRingElem uses_params +const ModRingElemUnion = Union{zzModRingElem, ZZModRingElem} -function save_object(s::SerializerState, x::zzModRingElem) - data_basic(s, string(x)) +function save_object(s::SerializerState, x::ModRingElemUnion) + save_data_basic(s, string(x)) end -function load_object(s::DeserializerState, ::Type{zzModRingElem}, - str::String, parent_ring::Nemo.zzModRing) +function load_object(s::DeserializerState, ::Type{<:ModRingElemUnion}, + str::String, parent_ring::T) where T <: ModRingUnion return parent_ring(ZZRingElem(str)) end ################################################################################ # Polynomial Rings -@registerSerializationType(PolyRing, true) -@registerSerializationType(MPolyRing, true) -@registerSerializationType(UniversalPolyRing, true) -@registerSerializationType(AbstractAlgebra.Generic.LaurentMPolyWrapRing, true) +@register_serialization_type PolyRing uses_id +@register_serialization_type MPolyRing uses_id +@register_serialization_type UniversalPolyRing uses_id +@register_serialization_type AbstractAlgebra.Generic.LaurentMPolyWrapRing uses_id function save_object(s::SerializerState, R::Union{UniversalPolyRing, MPolyRing, PolyRing, AbstractAlgebra.Generic.LaurentMPolyWrapRing}) - data_dict(s) do + save_data_dict(s) do save_typed_object(s, base_ring(R), :base_ring) save_object(s, symbols(R), :symbols) end @@ -143,19 +132,18 @@ end ################################################################################ # Polynomial Ring Types -@registerSerializationType(MPolyRingElem) -@registerSerializationType(UniversalPolyRingElem) -@registerSerializationType(AbstractAlgebra.Generic.LaurentMPolyWrap) +@register_serialization_type MPolyRingElem uses_params +@register_serialization_type UniversalPolyRingElem uses_params +@register_serialization_type AbstractAlgebra.Generic.LaurentMPolyWrap uses_params const PolyElemUniontype = Union{MPolyRingElem, UniversalPolyRingElem, AbstractAlgebra.Generic.LaurentMPolyWrap} -type_needs_params(::Type{<:PolyElemUniontype}) = true # elements function save_object(s::SerializerState, p::Union{UniversalPolyRingElem, MPolyRingElem}) # we use this line instead of typeof(coeff(p, 1)) to catch the 0 polynomial coeff_type = elem_type(base_ring(parent(p))) - data_array(s) do + save_data_array(s) do for i in 1:length(p) - data_array(s) do + save_data_array(s) do save_object(s, map(string, exponent_vector(p, i))) save_object(s, coeff(p, i)) end @@ -166,10 +154,10 @@ end function save_object(s::SerializerState, p::AbstractAlgebra.Generic.LaurentMPolyWrap) exponent_vectors_gen = AbstractAlgebra.exponent_vectors(p) index = 0 - data_array(s) do + save_data_array(s) do for c in coefficients(p) exponent_vector, index = iterate(exponent_vectors_gen, index) - data_array(s) do + save_data_array(s) do save_object(s, map(string, exponent_vector)) save_object(s, c) end @@ -180,20 +168,19 @@ end ################################################################################ # Univariate Polynomials -@registerSerializationType(PolyRingElem) -type_needs_params(::Type{<:PolyRingElem}) = true +@register_serialization_type PolyRingElem uses_params function save_object(s::SerializerState, p::PolyRingElem) coeffs = coefficients(p) exponent = 0 - data_array(s) do + save_data_array(s) do for coeff in coeffs # collect only non trivial terms if is_zero(coeff) exponent += 1 continue end - data_array(s) do + save_data_array(s) do save_object(s, string(exponent)) save_object(s, coeff) end @@ -220,7 +207,7 @@ function load_object(s::DeserializerState, ::Type{<: PolyRingElem}, exponent, coeff = term # account for shift exponent += 1 - if type_needs_params(coeff_type) + if serialize_with_params(coeff_type) if length(parents) == 1 params = coefficient_ring(parent_ring) else @@ -243,7 +230,7 @@ function load_object(s::DeserializerState, polynomial = MPolyBuildCtx(parent_ring) coeff_type = elem_type(base) for (e, coeff) in terms - if type_needs_params(coeff_type) + if serialize_with_params(coeff_type) if length(parents) == 1 params = coefficient_ring(parent_ring) else @@ -262,20 +249,20 @@ end ################################################################################ # Polynomial Ideals -@registerSerializationType(MPolyIdeal) -@registerSerializationType(Laurent.LaurentMPolyIdeal) +@register_serialization_type MPolyIdeal uses_params +@register_serialization_type Laurent.LaurentMPolyIdeal uses_params const IdealUnionType = Union{MPolyIdeal, Laurent.LaurentMPolyIdeal, FreeAssAlgIdeal} -type_needs_params(::Type{<: IdealUnionType}) = true function save_type_params(s::SerializerState, x::T) where T <: IdealUnionType - data_dict(s) do + save_data_dict(s) do save_object(s, encode_type(T), :name) - refs = save_parents(s, parent(gens(x)[1])) - save_object(s, refs, :params) + ref = save_as_ref(s, parent(gens(x)[1])) + save_object(s, ref, :params) end end -function load_type_params(s::DeserializerState, ::Type{<: IdealUnionType}, params::Any) +function load_type_params(s::DeserializerState, ::Type{<: IdealUnionType}, + params::T) where T <: RingMatSpaceUnion return load_type_params(s, RingElem, params) end @@ -298,13 +285,11 @@ end ################################################################################ # Matrices -@registerSerializationType(MatSpace, true) -@registerSerializationType(MatElem) -type_needs_params(::Type{<:MatElem}) = true +@register_serialization_type MatSpace uses_id +@register_serialization_type MatElem uses_params -# not all function save_object(s::SerializerState, obj::MatSpace) - data_dict(s) do + save_data_dict(s) do save_typed_object(s, base_ring(obj), :base_ring) save_object(s, ncols(obj), :ncols) save_object(s, nrows(obj), :nrows) @@ -326,7 +311,7 @@ function load_object(s::DeserializerState, ::Type{<:MatElem}, entries::Vector, parents::Vector) parent = parents[end] T = elem_type(base_ring(parent)) - if type_needs_params(T) + if serialize_with_params(T) if length(parents) == 1 params = base_ring(parent) else @@ -341,7 +326,7 @@ end ################################################################################ # Power Series -@registerSerializationType(SeriesRing, true) +@register_serialization_type SeriesRing uses_id function save_object(s::SerializerState, R::Union{ Generic.RelPowerSeriesRing, @@ -350,7 +335,7 @@ function save_object(s::SerializerState, R::Union{ fqPolyRepRelPowerSeriesRing, FqRelPowerSeriesRing, zzModRelPowerSeriesRing}) - data_dict(s) do + save_data_dict(s) do save_typed_object(s, base_ring(R), :base_ring) save_object(s, var(R), :var) save_object(s, max_precision(R), :max_precision) @@ -366,7 +351,7 @@ function save_object(s::SerializerState, R::Union{ fqPolyRepAbsPowerSeriesRing, zzModAbsPowerSeriesRing}) - data_dict(s) do + save_data_dict(s) do save_typed_object(s, base_ring(R), :base_ring) save_object(s, var(R), :var) save_object(s, max_precision(R), :max_precision) @@ -384,17 +369,15 @@ function load_object(s::DeserializerState, ::Type{<: SeriesRing}, dict::Dict) end # elements -@registerSerializationType(RelPowerSeriesRingElem) -@registerSerializationType(AbsPowerSeriesRingElem) -type_needs_params(::Type{<: Union{RelPowerSeriesRingElem, AbsPowerSeriesRingElem}}) = true +@register_serialization_type RelPowerSeriesRingElem uses_params +@register_serialization_type AbsPowerSeriesRingElem uses_params function save_object(s::SerializerState, r::RelPowerSeriesRingElem) v = valuation(r) pl = pol_length(r) encoded_terms = [] - data_dict(s) do - s.key = :terms - data_array(s) do + save_data_dict(s) do + save_data_array(s, :terms) do for exponent in v: v + pl coefficient = coeff(r, exponent) #collect only non trivial values @@ -402,7 +385,7 @@ function save_object(s::SerializerState, r::RelPowerSeriesRingElem) continue end - data_array(s) do + save_data_array(s) do save_object(s, exponent) save_object(s, coefficient) end @@ -419,16 +402,15 @@ function save_object(s::SerializerState, r::AbsPowerSeriesRingElem) encoded_terms = [] parents = [] parent_ring = parent(r) - data_dict(s) do - s.key = :terms - data_array(s) do + save_data_dict(s) do + save_data_array(s, :terms) do for exponent in 0:pl coefficient = coeff(r, exponent) #collect only non trivial values if is_zero(coefficient) continue end - data_array(s) do + save_data_array(s) do save_object(s, exponent) save_object(s, coefficient) end @@ -440,7 +422,7 @@ function save_object(s::SerializerState, r::AbsPowerSeriesRingElem) end function load_object(s::DeserializerState, ::Type{<: RelPowerSeriesRingElem}, - dict::Dict, parents::Vector) + dict::Dict, parents::Vector) parent_ring = parents[end] valuation = parse(Int, dict[:valuation]) pol_length = parse(Int, dict[:pol_length]) @@ -449,7 +431,7 @@ function load_object(s::DeserializerState, ::Type{<: RelPowerSeriesRingElem}, loaded_terms = zeros(base, pol_length) coeff_type = elem_type(base) for (exponent, coeff) in dict[:terms] - if type_needs_params(coeff_type) + if serialize_with_params(coeff_type) if length(parents) == 1 params = base else @@ -467,7 +449,7 @@ function load_object(s::DeserializerState, ::Type{<: RelPowerSeriesRingElem}, end function load_object(s::DeserializerState, ::Type{<: AbsPowerSeriesRingElem}, - dict::Dict, parents::Vector) + dict::Dict, parents::Vector) parent_ring = parents[end] pol_length = parse(Int, dict[:pol_length]) precision = parse(Int, dict[:precision]) @@ -475,7 +457,7 @@ function load_object(s::DeserializerState, ::Type{<: AbsPowerSeriesRingElem}, loaded_terms = zeros(base, pol_length) coeff_type = elem_type(base) for (exponent, coeff) in dict[:terms] - if type_needs_params(coeff_type) + if serialize_with_params(coeff_type) if length(parents) == 1 params = base else @@ -495,15 +477,15 @@ end ################################################################################ # Laurent Series -@registerSerializationType(Generic.LaurentSeriesRing, true, "LaurentSeriesRing") -@registerSerializationType(Generic.LaurentSeriesField, true, "LaurentSeriesField") -@registerSerializationType(ZZLaurentSeriesRing) +@register_serialization_type Generic.LaurentSeriesRing "LaurentSeriesRing" uses_id +@register_serialization_type Generic.LaurentSeriesField "LaurentSeriesField" uses_id +@register_serialization_type ZZLaurentSeriesRing uses_id function save_object(s::SerializerState, R::Union{ Generic.LaurentSeriesRing, Generic.LaurentSeriesField, ZZLaurentSeriesRing}) - data_dict(s) do + save_data_dict(s) do save_typed_object(s, base_ring(R), :base_ring) save_object(s, var(R), :var) save_object(s, max_precision(R), :max_precision) @@ -524,20 +506,16 @@ function load_object(s::DeserializerState, end # elements -@registerSerializationType(Generic.LaurentSeriesFieldElem, "LaurentSeriesFieldElem") -@registerSerializationType(Generic.LaurentSeriesRingElem, "LaurentSeriesRingElem") -@registerSerializationType(ZZLaurentSeriesRingElem) -type_needs_params(::Type{<: Union{ZZLaurentSeriesRingElem, - Generic.LaurentSeriesFieldElem, - Generic.LaurentSeriesRingElem}}) = true +@register_serialization_type Generic.LaurentSeriesFieldElem "LaurentSeriesFieldElem" uses_params +@register_serialization_type Generic.LaurentSeriesRingElem "LaurentSeriesRingElem" uses_params +@register_serialization_type ZZLaurentSeriesRingElem uses_params function save_object(s::SerializerState, r:: Union{Generic.LaurentSeriesElem, ZZLaurentSeriesRingElem}) v = valuation(r) pl = pol_length(r) encoded_terms = [] - data_dict(s) do - s.key = :terms - data_array(s) do + save_data_dict(s) do + save_data_array(s, :terms) do for exponent in v: v + pl coefficient = coeff(r, exponent) #collect only non trivial values @@ -545,7 +523,7 @@ function save_object(s::SerializerState, r:: Union{Generic.LaurentSeriesElem, ZZ continue end - data_array(s) do + save_data_array(s) do save_object(s, exponent) save_object(s, coefficient) end @@ -558,9 +536,8 @@ function save_object(s::SerializerState, r:: Union{Generic.LaurentSeriesElem, ZZ end end -function load_object(s::DeserializerState, - ::Type{<: Union{Generic.LaurentSeriesElem, ZZLaurentSeriesRingElem}}, - dict::Dict, parents::Vector) +function load_object(s::DeserializerState, ::Type{<: Union{Generic.LaurentSeriesElem, ZZLaurentSeriesRingElem}}, + dict::Dict, parents::Vector) parent_ring = parents[end] terms = dict[:terms] highest_degree = max(map(x->parse(Int, x[1]), terms)...) @@ -572,7 +549,7 @@ function load_object(s::DeserializerState, for (exponent, coeff) in terms e = parse(Int, exponent) e -= lowest_degree - 1 - if type_needs_params(coeff_type) + if serialize_with_params(coeff_type) if length(parents) == 1 params = base else diff --git a/src/Serialization/ToricGeometry.jl b/src/Serialization/ToricGeometry.jl index bd8e9e74c85c..a098244aa217 100644 --- a/src/Serialization/ToricGeometry.jl +++ b/src/Serialization/ToricGeometry.jl @@ -1,7 +1,7 @@ ################################################################################ # Toric varieties -@registerSerializationType(AffineNormalToricVariety, true) -@registerSerializationType(NormalToricVariety, true) +@register_serialization_type AffineNormalToricVariety uses_id +@register_serialization_type NormalToricVariety uses_id function save_object(s::SerializerState, ntv::NormalToricVarietyType) save_object(s, ntv.polymakeNTV) @@ -13,11 +13,10 @@ end ################################################################################ # Torus invariant divisors on toric varieties -@registerSerializationType(ToricDivisor) -type_needs_params(::Type{<:ToricDivisor}) = true +@register_serialization_type ToricDivisor uses_params function save_type_params(s::SerializerState, obj::ToricDivisor) - data_dict(s) do + save_data_dict(s) do save_object(s, encode_type(ToricDivisor), :name) save_typed_object(s, obj.toric_variety, :params) end diff --git a/src/Serialization/TropicalGeometry.jl b/src/Serialization/TropicalGeometry.jl index 939f7639bf6b..55cca96326be 100644 --- a/src/Serialization/TropicalGeometry.jl +++ b/src/Serialization/TropicalGeometry.jl @@ -1,15 +1,12 @@ # Tropical Semiring -@registerSerializationType(TropicalSemiring{typeof(min)}) -@registerSerializationType(TropicalSemiring{typeof(max)}) -has_elem_basic_encoding(obj::TropicalSemiring) = true +@register_serialization_type TropicalSemiring{typeof(min)} +@register_serialization_type TropicalSemiring{typeof(max)} ## elements -@registerSerializationType(TropicalSemiringElem) -type_needs_params(T::Type{<: TropicalSemiringElem}) = true +@register_serialization_type TropicalSemiringElem uses_params -function save_type_params(s::SerializerState, x::TropicalSemiringElem, key::Symbol) - s.key = key - data_dict(s) do +function save_type_params(s::SerializerState, x::TropicalSemiringElem) + save_data_dict(s) do save_object(s, encode_type(T), :name) save_typed_object(s, parent(x), :params) end @@ -31,22 +28,24 @@ function load_object(s::DeserializerState, end # Tropical Hypersurfaces -@registerSerializationType(TropicalHypersurface, true) +@register_serialization_type TropicalHypersurface uses_id function save_object(s::SerializerState, t_surf::T) where T <: TropicalHypersurface - save_typed_object(s, polynomial(t_surf), :data) + save_data_dict(s) do + save_typed_object(s, polynomial(t_surf), :polynomial) + end end function load_object(s::DeserializerState, ::Type{<: TropicalHypersurface}, dict::Dict) - polynomial = load_typed_object(s, dict) + polynomial = load_typed_object(s, dict[:polynomial]) return TropicalHypersurface(polynomial) end # Tropical Curves -@registerSerializationType(TropicalCurve, true) +@register_serialization_type TropicalCurve uses_id function save_object(s::SerializerState, t_curve::TropicalCurve{M, EMB}) where {M, EMB} - data_dict(s) do + save_data_dict(s) do if EMB save_typed_object(s, underlying_polyhedral_complex(t_curve), :polyhedral_complex) save_object(s, true, :is_embedded) diff --git a/src/Serialization/basic_types.jl b/src/Serialization/basic_types.jl index 3b358ca0eb3d..4816c5e2cef4 100644 --- a/src/Serialization/basic_types.jl +++ b/src/Serialization/basic_types.jl @@ -2,12 +2,12 @@ const BasicTypeUnion = Union{String, QQFieldElem, Symbol, Number, ZZRingElem, TropicalSemiringElem} function save_object(s::SerializerState, x::T) where T <: Union{BasicTypeUnion, VersionNumber} - data_basic(s, string(x)) + save_data_basic(s, x) end ################################################################################ # Bool -@registerSerializationType(Bool) +@register_serialization_type Bool function load_object(s::DeserializerState, ::Type{Bool}, str::String) if str == "true" @@ -23,7 +23,7 @@ end ################################################################################ # ZZRingElem -@registerSerializationType(ZZRingElem) +@register_serialization_type ZZRingElem function load_object(s::DeserializerState, ::Type{ZZRingElem}, str::String) return ZZRingElem(str) @@ -38,7 +38,7 @@ end ################################################################################ # QQFieldElem -@registerSerializationType(QQFieldElem) +@register_serialization_type QQFieldElem function load_object(s::DeserializerState, ::Type{QQFieldElem}, q::String) # TODO: simplify the code below once https://github.com/Nemocas/Nemo.jl/pull/1375 @@ -58,23 +58,23 @@ end ################################################################################ # Number -@registerSerializationType(Int8) -@registerSerializationType(Int16) -@registerSerializationType(Int32) -@registerSerializationType(Int64, false, "Base.Int") -@registerSerializationType(Int128) +@register_serialization_type Int8 +@register_serialization_type Int16 +@register_serialization_type Int32 +@register_serialization_type Int64 "Base.Int" +@register_serialization_type Int128 -@registerSerializationType(UInt8) -@registerSerializationType(UInt16) -@registerSerializationType(UInt32) -@registerSerializationType(UInt64) -@registerSerializationType(UInt128) +@register_serialization_type UInt8 +@register_serialization_type UInt16 +@register_serialization_type UInt32 +@register_serialization_type UInt64 +@register_serialization_type UInt128 -@registerSerializationType(BigInt) +@register_serialization_type BigInt -@registerSerializationType(Float16) -@registerSerializationType(Float32) -@registerSerializationType(Float64) +@register_serialization_type Float16 +@register_serialization_type Float32 +@register_serialization_type Float64 function load_object(s::DeserializerState, ::Type{T}, str::String) where {T<:Number} return parse(T, str) @@ -82,7 +82,7 @@ end ################################################################################ # Strings -@registerSerializationType(String) +@register_serialization_type String function load_object(s::DeserializerState, ::Type{String}, str::String) return str @@ -90,7 +90,7 @@ end ################################################################################ # Symbol -@registerSerializationType(Symbol) +@register_serialization_type Symbol function load_object(s::DeserializerState, ::Type{Symbol}, str::String) return Symbol(str) diff --git a/src/Serialization/containers.jl b/src/Serialization/containers.jl index 6a6582af706c..fcbb3a583085 100644 --- a/src/Serialization/containers.jl +++ b/src/Serialization/containers.jl @@ -6,14 +6,14 @@ get_nested_entry(v::AbstractArray) = get_nested_entry(v[1]) ################################################################################ # Saving and loading vectors -@registerSerializationType(Vector) -type_needs_params(::Type{<:Vector}) = true +@register_serialization_type Vector uses_params + const MatVecType{T} = Union{Matrix{T}, Vector{T}} function save_type_params(s::SerializerState, obj::S) where {T, S <:MatVecType{T}} - data_dict(s) do + save_data_dict(s) do save_object(s, encode_type(S), :name) - if type_needs_params(T) + if serialize_with_params(T) if hasmethod(parent, (T,)) parents = map(parent, obj) parents_all_equal = all(map(x -> isequal(first(parents), x), parents)) @@ -41,7 +41,7 @@ function load_type_params(s::DeserializerState, ::Type{<:MatVecType}, override_p end function save_object(s::SerializerState, x::Vector) - data_array(s) do + save_data_array(s) do for elem in x save_object(s, elem) end @@ -68,18 +68,16 @@ end ################################################################################ # Saving and loading Tuple -@registerSerializationType(Tuple) -type_needs_params(::Type{<:Tuple}) = true +@register_serialization_type Tuple uses_params function save_type_params(s::SerializerState, tup::T) where T <: Tuple - data_dict(s) do + save_data_dict(s) do save_object(s, encode_type(Tuple), :name) n = fieldcount(T) - s.key = :params - data_array(s) do + save_data_array(s, :params) do for i in 1:n U = fieldtype(T, i) - if type_needs_params(U) + if serialize_with_params(U) save_type_params(s, tup[i]) else save_object(s, encode_type(U)) @@ -103,7 +101,7 @@ function load_type_params(s::DeserializerState, ::Type{<:Tuple}, params::Vector) end function save_object(s::SerializerState, obj::Tuple) - data_array(s) do + save_data_array(s) do for entry in obj save_object(s, entry) end @@ -120,19 +118,16 @@ end ################################################################################ # Saving and loading NamedTuple -@registerSerializationType(NamedTuple) -type_needs_params(::Type{<:NamedTuple}) = true +@register_serialization_type NamedTuple uses_params function save_type_params(s::SerializerState, obj::T) where T <: NamedTuple - data_dict(s) do + save_data_dict(s) do save_object(s, encode_type(NamedTuple), :name) - s.key = :params - data_dict(s) do - s.key = :tuple_params - data_array(s) do + save_data_dict(s, :params) do + save_data_array(s, :tuple_params) do for (i, value) in enumerate(values(obj)) U = fieldtype(T, i) - if type_needs_params(U) + if serialize_with_params(U) save_type_params(s, value) else save_object(s, encode_type(U)) @@ -172,12 +167,11 @@ end ################################################################################ # Saving and loading matrices -@registerSerializationType(Matrix) -type_needs_params(::Type{<:Matrix}) = true +@register_serialization_type Matrix uses_params function save_object(s::SerializerState, mat::Matrix) m, n = size(mat) - data_array(s) do + save_data_array(s) do for i in 1:m save_object(s, [mat[i, j] for j in 1:n]) end @@ -199,27 +193,3 @@ function load_object(s::DeserializerState, ::Type{<:Matrix}, ]) return Matrix{params[1]}(m) end - -# deserialize with specific content type -function load_internal(s::DeserializerState, ::Type{Matrix{T}}, dict::Dict) where T - x = dict[:matrix] - y = reduce(vcat, [permutedims(load_type_dispatch(s, Vector{T}, x[i])) for i in 1:length(x)]) - return Matrix{T}(y) -end - -# deserialize without specific content type -function load_internal(s::DeserializerState, ::Type{Matrix}, dict::Dict) - x = dict[:matrix] - y = reduce(vcat, [permutedims(load_type_dispatch(s, Vector, x[i])) for i in 1:length(x)]) - return Matrix(y) -end - -# deserialize without specific content type -function load_internal_with_parent(s::DeserializerState, - ::Type{Matrix}, dict::Dict, parent) - x = dict[:matrix] - y = reduce(vcat, [ - permutedims(load_type_dispatch(s, Vector, x[i], parent=parent)) for i in 1:length(x) - ]) - return Matrix(y) -end diff --git a/src/Serialization/main.jl b/src/Serialization/main.jl index 5e825e183166..f3bddf66a539 100644 --- a/src/Serialization/main.jl +++ b/src/Serialization/main.jl @@ -1,9 +1,138 @@ +################################################################################ +# Description of the saving and loading mechanisms +# +# We require that any types serialized through OSCAR are registered using the +# @register_serialization_type macro. For more information, see its docstring. + +# There are three pairs of saving and loading functions that are used +# during serialization: +# 1. save_typed_object, load_typed_object; +# 2. save_object, load_object. +# 3. save_type_params, load_type_params; +# +# In the following, we discuss each pair in turn. + +################################################################################ +# save_type_object / load_type_object + +# For the most part these functions should not be touched, they are high level +# functions and are used to (de)serialize the object with its +# type information as well as its data. The data and type nodes are +# set in save_typed_object resulting in a "data branch" and "type branch". +# The usage of these functions can be used inside save_object / load_object +# and save_type_params / load_type_params. However using save_typed_object inside +# a save_object implementation will lead to a verbose format and should at some +# point be move to save_type_params. + +################################################################################ +# save_object / load_object + +# These functions are at the core of the serialization and are the first functions +# that should be implemented when working on the serialization of a new type. +# Here is where one should use functions save_data_dict and save_data_array to structure +# the serialization. The examples show they can be used to save data using the structure +# of an array or dict. Each nested call to save_data_dict or save_data_array should be +# called with a key that can be passed as the second parameter. + +# Examples +# function save_object(s::SerializerState, obj::NewType) +# save_data_array(s) do +# save_object(s, obj.1) +# save_object(s, obj.2) +# +# save_data_dict(s) do +# save_object(s, obj.3, :key1) +# save_object(s, obj.4, :key2) +# end +# end +# end +# +# This will result in a data format that looks like +# [ +# obj.1, +# obj.2, +# { +# "key1": obj.3, +# "key2": obj.4 +# } +# ] + +# function save_object(s::SerializerState, obj::NewType) +# save_data_dict(s) do +# save_object(s, obj.1, :key1) +# save_data_array(s, :key2) do +# save_object(s, obj.3) +# save_typed_object(s, obj.4) # This is ok +# end +# end +# end + +# This will result in a data format that looks like +# { +# "key1": obj.1, +# "key2":[ +# obj.3, +# { +# "type": "Type of obj.4", +# "data": obj.4 +# } +# ] +# } +# +# This is ok +# function save_object(s::SerializerState, obj:NewType) +# save_object(s, obj.1) +# end + +# This will throw an error +# function save_object(s::SerializerState, obj:NewType) +# save_object(s, obj.1, :key) +# end + +# If you insist on having a key you should, first open a save_data_dict. + +# function save_object(s::SerializerState, obj:NewType) +# save_data_dict(s) do +# save_object(s, obj.1, :key) +# end +# end +# + +# note for now save_typed_object must be wrapped in either a save_data_array or +# save_data_dict. Otherwise you will get a key override error. + +# function save_object(s::SerializerState, obj:NewType) +# save_data_dict(s) do +# save_typed_object(s, obj.1, :key) +# end +# end +# + + +################################################################################ +# save_type_params / load_type_params + +# The serialization mechanism stores data in the format of a tree, with the +# exception that some nodes may point to a shared reference. The "data branch" +# is anything that is a child node of a data node, whereas the "type branch" is +# any information that is stored in a node that is a child of a type node. +# Avoiding type information inside the data branch will lead to a more +# efficient serialization format. When the uses_params is set while calling +# @register_serialization_type (de)serialization will use +# save_type_params / load_type_params to format the type information. +# In general we expect that implementing a save_type_params and load_type_params +# should not always be necessary. Many types will serialize their types +# in a similar fashion for example serialization of a FieldElem will +# use the save_type_params / load_type_params from RingElem since in both cases +# the only parameter needed for such types is their parent. + using JSON using UUIDs include("serializers.jl") -const backref_sym = Symbol("#backref") +const type_key = :_type +const refs_key = :_refs ################################################################################ # Meta Data @@ -25,70 +154,84 @@ function get_version_info() ) return result end -const oscarSerializationVersion = get_version_info() +const oscar_serialization_version = get_version_info() ################################################################################ # (De|En)coding types -# + # parameters of type should not matter here -const reverseTypeMap = Dict{String, Type}() +const reverse_type_map = Dict{String, Type}() -function registerSerializationType(@nospecialize(T::Type), str::String) - if haskey(reverseTypeMap, str) && reverseTypeMap[str] != T - error("encoded type $str already registered for a different type: $T versus $(reverseTypeMap[str])") +function register_serialization_type(@nospecialize(T::Type), str::String) + if haskey(reverse_type_map, str) && reverse_type_map[str] != T + error("encoded type $str already registered for a different type: $T versus $(reverse_type_map[str])") end - reverseTypeMap[str] = T + reverse_type_map[str] = T end -# registerSerializationType is a macro to ensure that the string we generate +# @register_serialization_type NewType "String Representation of type" uses_id uses_params + +# register_serialization_type is a macro to ensure that the string we generate # matches exactly the expression passed as first argument, and does not change # in unexpected ways when import/export statements are adjusted. -# It also sets the value of serialize_with_id, which determines -# whether or not the type can be back referenced. -# If omitted, the default is that no back references are allowed. -function registerSerializationType(ex::Any, - uses_id::Bool, - str::Union{String,Nothing} = nothing) - if str === nothing - str = string(ex) - end +# The last three arguments are optional and can arise in any order. Passing a string +# argument will override how the type is stored as a string. The last two are boolean +# flags. When setting uses_id the object will be stored as a reference and will be +# referred to throughout the serialization using a UUID. This should typically only +# be used for types that do not have a fixed normal form for example PolyRing and MPolyRing. +# Using the uses_params flag will serialize the object with a more structured type +# description which will make the serialization more efficient see the discussion on +# save_type_params / load_type_params below. +function register_serialization_type(ex::Any, str::String, uses_id::Bool, uses_params::Bool) return esc( quote - registerSerializationType($ex, $str) + register_serialization_type($ex, $str) encode_type(::Type{<:$ex}) = $str # There exist types where equality cannot be discerned from the serialization # these types require an id so that equalities can be forced upon load. # The ids are only necessary for parent types, checking for element type equality # can be done once the parents are known to be equal. # For example two serializations of QQ[x] require ids to check for equality. - # Although they're isomorphic rings, they may want to be treated as seperate + # Although they're isomorphic rings, they may want to be treated as separate # This is done since other software might not use symbols in their serialization of QQ[x]. # Which will then still allow for the distinction between QQ[x] and QQ[y], i.e. # whenever there is a possibility (amongst any software system) that the objects - # cannot be distinguish on a syntatic level we use ids. - # Types like ZZ, QQ, and ZZ/nZZ do not require ids since there is no syntatic + # cannot be distinguish on a syntactic level we use ids. + # Types like ZZ, QQ, and ZZ/nZZ do not require ids since there is no syntactic # ambiguities in their encodings. serialize_with_id(obj::T) where T <: $ex = $uses_id - serialize_with_id(T::Type{<:$ex}) = $uses_id + serialize_with_id(T::Type{<:$ex}) = $uses_id + serialize_with_params(T::Type{<:$ex}) = $uses_params end) end -macro registerSerializationType(ex::Any, str::Union{String,Nothing} = nothing) - return registerSerializationType(ex, false, str) -end +macro register_serialization_type(ex::Any, args...) + uses_id = false + uses_params = false + str = nothing + for el in args + if el isa String + str = el + elseif el == :uses_id + uses_id = true + elseif el == :uses_params + uses_params = true + end + end + if str === nothing + str = string(ex) + end -macro registerSerializationType(ex::Any, uses_id::Bool, str::Union{String,Nothing} = nothing) - return registerSerializationType(ex, uses_id, str) + return register_serialization_type(ex, str, uses_id, uses_params) end - function encode_type(::Type{T}) where T error("unsupported type '$T' for encoding") end function decode_type(input::String) - get(reverseTypeMap, input) do + get(reverse_type_map, input) do error("unsupported type '$input' for decoding") end end @@ -97,71 +240,10 @@ function decode_type(input::Dict{Symbol, Any}) return decode_type(input[:name]) end -################################################################################ -# Encoding helper functions - -@doc raw""" - is_basic_serialization_type(::Type) - -During the serialization of types of the form `Vector{T}`, entries -of type `T` will either be serialized as strings if `is_basic_serialization_type` -returns `true`, or serialized as a dict provided the serialization for such a `T` -exists. If `Vector{T}` is serialized with `is_basic_serialization_type(T) = true` -then the `entry_type` keyword is used to store the type `T` as a property of -the vector. - -# Examples - -```jldoctest -julia> is_basic_serialization_type(ZZRingElem) -true -``` -""" -is_basic_serialization_type(::Type) = false -is_basic_serialization_type(::Type{ZZRingElem}) = true -is_basic_serialization_type(::Type{QQFieldElem}) = true -is_basic_serialization_type(::Type{Bool}) = true -is_basic_serialization_type(::Type{String}) = true -is_basic_serialization_type(::Type{Symbol}) = true -# this deals with int32, int64 etc.:precision -is_basic_serialization_type(::Type{T}) where T <: Number = isconcretetype(T) - # ATTENTION # We need to distinguish between data with a globally defined normal form and data where such a normal form depends on some parameters. # In particular, this does NOT ONLY depend on the type; see, e.g., FqField. -# Objects having a basic encoding are fundamental objects. They are "atomic" -# with regards to the available types in Oscar (maybe in general), they are base cases when -# a parent tree is constructed via recursion, and they can be decoded from a string or array of -# strings provided their parent is known. All types with basic serialization have a basic encoding -# has_elem_basic_encoding also deals with basic parametrized types. - -# a basic serialization type is a type that only requires a single property for serialization. -# examples: QQ, Symbol, Int - -# a basic encoded type is a type that only requires a single property or a list of ordered properties -# of the same type and a known parent for serialization. -# example: elements of ZZ/nZZ. Say the parent is ZZ/7ZZ then we can (de)serialize "6", in a sense once the parent is known -# the serialization relies on a "basic" serialization or list of ordered "basic" serializations. We use the word encoding -# here to mean serialization knowing how elements are represented in the parent. - -# has_elem_basic_encoding is used for parent types (and only makes sense for parent types) - -function has_elem_basic_encoding(obj::T) where T <: Ring - return is_basic_serialization_type(elem_type(obj)) -end - -has_basic_encoding(obj::T) where T = is_basic_serialization_type(T) - -function has_basic_encoding(obj::T) where T <: RingElem - return has_elem_basic_encoding(parent(obj)) -end - -has_elem_basic_encoding(obj::T) where T = false - -# used for types that require parents when serialized -type_needs_params(::Type) where Type = false - ################################################################################ # High level @@ -193,22 +275,21 @@ function save_as_ref(s::SerializerState, obj::T) where T end function save_object(s::SerializerState, x::Any, key::Symbol) - s.key = key + set_key(s, key) save_object(s, x) end function save_json(s::SerializerState, x::Any) - data_json(s, x) + save_data_json(s, x) end function save_json(s::SerializerState, x::Any, key::Symbol) - s.key = key + set_key(s, key) save_json(s, x) end function save_header(s::SerializerState, h::Dict{Symbol, Any}, key::Symbol) - s.key = key - data_dict(s) do + save_data_dict(s, key) do for (k, v) in h save_object(s, v, k) end @@ -216,48 +297,53 @@ function save_header(s::SerializerState, h::Dict{Symbol, Any}, key::Symbol) end function save_typed_object(s::SerializerState, x::T) where T - if type_needs_params(T) - save_type_params(s, x, :type) + if serialize_with_params(T) + save_type_params(s, x, type_key) save_object(s, x, :data) elseif Base.issingletontype(T) - save_object(s, encode_type(T), :type) + save_object(s, encode_type(T), type_key) else - save_object(s, encode_type(T), :type) + save_object(s, encode_type(T), type_key) save_object(s, x, :data) end end function save_typed_object(s::SerializerState, x::T, key::Symbol) where T - s.key = key + set_key(s, key) if serialize_with_id(x) # key should already be set before function call ref = save_as_ref(s, x) save_object(s, ref) else - data_dict(s) do + save_data_dict(s) do save_typed_object(s, x) end end end function save_type_params(s::SerializerState, obj::Any, key::Symbol) - s.key = key + set_key(s, key) save_type_params(s, obj) end +# general loading of a reference +function load_type_params(s::DeserializerState, ::Type, ref::String) + return load_ref(s, ref) +end + # The load mechanism first checks if the type needs to load necessary # parameters before loading it's data, if so a type tree is traversed function load_typed_object(s::DeserializerState, dict::Dict{Symbol, Any}; override_params::Any = nothing) - T = decode_type(dict[:type]) + T = decode_type(dict[type_key]) if Base.issingletontype(T) && return T() - elseif type_needs_params(T) + elseif serialize_with_params(T) if !isnothing(override_params) - params = load_type_params(s, T, override_params) + params = override_params else # depending on the type, :params is either an object to be loaded or a # dict with keys and object values to be loaded - params = load_type_params(s, T, dict[:type][:params]) + params = load_type_params(s, T, dict[type_key][:params]) end return load_object(s, T, dict[:data], params) else @@ -272,8 +358,7 @@ end ################################################################################ # Default generic save_internal, load_internal function save_object_generic(s::SerializerState, obj::T) where T - s.key = :data - data_dict(s) do + save_data_dict(s, :data) do for n in fieldnames(T) if n != :__attrs save_typed_object(s, getfield(obj, n), Symbol(n)) @@ -366,7 +451,10 @@ julia> load("/tmp/fourtitwo.json") """ function save(io::IO, obj::T; metadata::Union{MetaData, Nothing}=nothing) where T state = serializer_open(io) - data_dict(state) do + save_data_dict(state) do + # write out the namespace first + save_header(state, oscar_serialization_version, :_ns) + save_typed_object(state, obj) if serialize_with_id(T) @@ -379,17 +467,15 @@ function save(io::IO, obj::T; metadata::Union{MetaData, Nothing}=nothing) where end # this should be handled by serializers in a later commit / PR - state.key = :refs - !isempty(state.refs) && data_dict(state) do + !isempty(state.refs) && save_data_dict(state, refs_key) do for id in state.refs ref_obj = global_serializer_state.id_to_obj[id] state.key = Symbol(id) - data_dict(state) do + save_data_dict(state) do save_typed_object(state, ref_obj) end end end - save_header(state, oscarSerializationVersion, :_ns) if !isnothing(metadata) save_json(state, json(metadata), :meta) @@ -400,7 +486,9 @@ function save(io::IO, obj::T; metadata::Union{MetaData, Nothing}=nothing) where end function save(filename::String, obj::Any; metadata::Union{MetaData, Nothing}=nothing) - temp_file = tempname(dirname(filename)) + dir_name = dirname(filename) + # julia dirname does not return "." for plain filenames without any slashes + temp_file = tempname(isempty(dir_name) ? pwd() : dir_name) open(temp_file, "w") do file save(file, obj; metadata=metadata) end @@ -485,8 +573,8 @@ function load(io::IO; params::Any = nothing, type::Any = nothing) end # add refs to state for referencing during recursion - if haskey(jsondict, :refs) - merge!(state.refs, jsondict[:refs]) + if haskey(jsondict, refs_key) + merge!(state.refs, jsondict[refs_key]) end if type !== nothing @@ -496,12 +584,12 @@ function load(io::IO; params::Any = nothing, type::Any = nothing) # concrete, and `U <: T` should hold. # # This check should maybe change to a check on the whole type tree? - U = decode_type(jsondict[:type]) - U <: type || U >: type || error("Type in file doesn't match target type: $(dict[:type]) not a subtype of $T") + U = decode_type(jsondict[type_key]) + U <: type || U >: type || error("Type in file doesn't match target type: $(dict[type_key]) not a subtype of $T") - if type_needs_params(type) + if serialize_with_params(type) if isnothing(params) - params = load_type_params(state, type, jsondict[:type][:params]) + params = load_type_params(state, type, jsondict[type_key][:params]) end return load_object(state, type, jsondict[:data], params) end diff --git a/src/Serialization/polymake.jl b/src/Serialization/polymake.jl index efb846149c76..436b0f179192 100644 --- a/src/Serialization/polymake.jl +++ b/src/Serialization/polymake.jl @@ -24,7 +24,7 @@ const polymake2OscarTypes = Dict{String, Type}([ "common::GraphAdjacency" => Graph{Directed}, ]) -@registerSerializationType(Polymake.BigObjectAllocated, true, "Polymake.BigObject") +@register_serialization_type Polymake.BigObjectAllocated "Polymake.BigObject" uses_id function load_from_polymake(::Type{T}, jsondict::Dict{Symbol, Any}) where { S<:scalar_types, diff --git a/src/Serialization/serializers.jl b/src/Serialization/serializers.jl index 77811730f719..f84ff71c58e6 100644 --- a/src/Serialization/serializers.jl +++ b/src/Serialization/serializers.jl @@ -96,30 +96,43 @@ function finish_writing(s::SerializerState) # nothing to do here end +function set_key(s::SerializerState, key::Symbol) + @req isnothing(s.key) "Key :$(s.key) is being overridden by :$key before write." + s.key = key +end + ## operations for an in-order tree traversals ## all nodes (dicts or arrays) contain all child nodes -function data_dict(f::Function, s::SerializerState) +function save_data_dict(f::Function, s::SerializerState, + key::Union{Symbol, Nothing} = nothing) + !isnothing(key) && set_key(s, key) serialize_dict(s) do s.new_level_entry = true f() end end -function data_array(f::Function, s::SerializerState) +function save_data_array(f::Function, s::SerializerState, + key::Union{Symbol, Nothing} = nothing) + !isnothing(key) && set_key(s, key) serialize_array(s) do s.new_level_entry = true f() end end -function data_basic(s::SerializerState, x::Any) +function save_data_basic(s::SerializerState, x::Any, + key::Union{Symbol, Nothing} = nothing) + !isnothing(key) && set_key(s, key) begin_node(s) str = string(x) write(s.io, "\"$str\"") end -function data_json(s::SerializerState, jsonstr::Any) +function save_data_json(s::SerializerState, jsonstr::Any, + key::Union{Symbol, Nothing} = nothing) + !isnothing(key) && set_key(s, key) begin_node(s) write(s.io, jsonstr) end diff --git a/src/Serialization/upgrades/0.11.3.jl b/src/Serialization/upgrades/0.11.3.jl index 0828e9f0bcab..a607570bde43 100644 --- a/src/Serialization/upgrades/0.11.3.jl +++ b/src/Serialization/upgrades/0.11.3.jl @@ -99,8 +99,8 @@ push!(upgrade_scripts_set, UpgradeScript( U = decode_type(dict_type) - # Upgrades QQFieldElem serialization - if is_basic_serialization_type(U) + # Upgrades basic types + if U <: Union{Number, ZZRingElem, String, Symbol, Bool, QQFieldElem, Nemo.zzModRing} if U === QQFieldElem num = dict[:data][:num][:data] den = dict[:data][:den][:data] diff --git a/src/Serialization/upgrades/0.13.0.jl b/src/Serialization/upgrades/0.13.0.jl index 5931d3a3c87c..0a846d995ac6 100644 --- a/src/Serialization/upgrades/0.13.0.jl +++ b/src/Serialization/upgrades/0.13.0.jl @@ -48,7 +48,7 @@ push!(upgrade_scripts_set, UpgradeScript( upgraded_dict[:base_ring] = dict[:base_ring][:id] elseif haskey(dict[:base_ring], :data) # should have only one key, since any base_ring that - # doesn't use an id has one paramater + # doesn't use an id has one parameter key = first(keys(dict[:base_ring][:data])) upgraded_dict[:base_ring][:data] = string(dict[:base_ring][:data][key]) end @@ -67,40 +67,38 @@ push!(upgrade_scripts_set, UpgradeScript( end if dict[:type] == "Nemo.fpFieldElem" - dict[:type] = "fpFieldElem" + dict[:_type] = "fpFieldElem" end T = decode_type(dict[:type]) # type has already been updated - if dict[:type] isa Dict + if haskey(dict, :_type) && dict[:_type] isa Dict return dict end if T <: Vector # this section wasn't necessary for upgrading the folder of surfaces # which was our primary focus, this may be updated upon request - throw(Error("The upgrade script needs an update")) + error("The upgrade script needs an update") elseif T <: Union{PolyRingElem, MPolyRingElem} if dict[:data] isa Dict && haskey(dict[:data], :parents) - upgraded_parents = Any[ - p[:id] for p in dict[:data][:parents] - ] + upgraded_parents = dict[:data][:parents][end] params = upgraded_parents upgraded_dict[:data] = upgrade_terms(dict[:data][:terms]) else # this section wasn't necessary for upgrading the folder of surfaces # which was our primary focus, this may be updated upon request - throw(Error("The upgrade script needs an update")) + error("The upgrade script needs an update") end - upgraded_dict[:type] = Dict(:name => "PolyRingElem", :params => params) + upgraded_dict[:_type] = Dict(:name => "PolyRingElem", :params => params) elseif T <: NamedTuple upgraded_tuple = upgrade_0_13_0(s, dict[:data][:content]) - + params = Dict( - :tuple_params => upgraded_tuple[:type][:params], + :tuple_params => upgraded_tuple[:_type][:params], :names => dict[:data][:keys][:data][:content] ) - upgraded_dict[:type] = Dict(:name => "NamedTuple", :params => params) + upgraded_dict[:_type] = Dict(:name => "NamedTuple", :params => params) upgraded_dict[:data] = upgraded_tuple[:data] elseif T <: Nemo.fpField @@ -112,8 +110,8 @@ push!(upgrade_scripts_set, UpgradeScript( end upgraded_dict[:data] = string(dict[:data][:characteristic]) elseif T <: MPolyIdeal - upgraded_parents = upgrade_0_13_0(s, dict[:data][:parent]) - upgraded_dict[:type] = Dict(:name => "MPolyIdeal", :params => upgraded_parents) + upgraded_parent = upgrade_0_13_0(s, dict[:data][:parent])[:id] + upgraded_dict[:_type] = Dict(:name => "MPolyIdeal", :params => upgraded_parent) upgraded_gens = [] for gen in dict[:data][:gens][:data][:vector] push!(upgraded_gens, upgrade_0_13_0(s, gen)[:data]) @@ -136,20 +134,20 @@ push!(upgrade_scripts_set, UpgradeScript( for (i, field_type) in enumerate(dict[:data][:field_types]) U = decode_type(field_type) - if type_needs_params(U) + if serialize_with_params(U) upgraded_entry = upgrade_0_13_0(s, dict[:data][:content][i]) - push!(params, upgraded_entry[:type]) + push!(params, upgraded_entry[:_type]) push!(entry_data, upgraded_entry[:data]) else push!(params, field_type) push!(entry_data, dict[:data][:content][i]) end end - upgraded_dict[:type] = Dict(:name => "Tuple", :params => params) + upgraded_dict[:_type] = Dict(:name => "Tuple", :params => params) upgraded_dict[:data] = entry_data elseif T <: Matrix params = dict[:data][:matrix][1][:data][:entry_type] - upgraded_dict[:type] = Dict(:name => "Matrix", :params => params) + upgraded_dict[:_type] = Dict(:name => "Matrix", :params => params) matrix_data = [] for v in dict[:data][:matrix] push!(matrix_data, v[:data][:vector]) @@ -167,13 +165,14 @@ push!(upgrade_scripts_set, UpgradeScript( upgraded_dict[:data][:def_pol] = upgrade_0_13_0(s, dict[:data][:def_pol]) end end - + + if haskey(upgraded_dict, :refs) upgraded_refs = Dict() for (k, v) in upgraded_dict[:refs] upgraded_refs[k] = upgrade_0_13_0(s, v) end - upgraded_dict[:refs] = upgraded_refs + upgraded_dict[:_refs] = upgraded_refs end return upgraded_dict end diff --git a/src/Serialization/upgrades/main.jl b/src/Serialization/upgrades/main.jl index a2c015327e96..6525c4015c61 100644 --- a/src/Serialization/upgrades/main.jl +++ b/src/Serialization/upgrades/main.jl @@ -66,6 +66,7 @@ sort!(upgrade_scripts; by=version) ################################################################################ # Loading with upgrade checks on dict +const backref_sym = Symbol("#backref") # Finds the first version where an upgrade can be applied and then incrementally # upgrades to the current version @@ -83,6 +84,6 @@ function upgrade(dict::Dict{Symbol, Any}, dict_version::VersionNumber) upgraded_dict = upgrade_script(s, upgraded_dict) end end - upgraded_dict[:_ns] = oscarSerializationVersion + upgraded_dict[:_ns] = oscar_serialization_version return upgraded_dict end diff --git a/src/exports.jl b/src/exports.jl index 129bb9e6a22a..d742c008a5c7 100644 --- a/src/exports.jl +++ b/src/exports.jl @@ -267,6 +267,7 @@ export basic_patches export basis_of_global_sections export basis_of_global_sections_via_homogeneous_component export basis_of_global_sections_via_rational_functions +export basis_representation export bell export betti export betti_number @@ -483,6 +484,7 @@ export element_to_homomorphism export elementary_symmetric export elements export eliminate +export elliptic_parameter export embedding export embedding_orthogonal_group export empty_covered_scheme @@ -710,7 +712,6 @@ export is_almostsimple, has_is_almostsimple, set_is_almostsimple export is_alternating export is_ample export is_basepoint_free -export is_basic_serialization_type export is_bicoset export is_bijective export is_binary @@ -976,6 +977,7 @@ export monomial_ordering export monomials export mori_cone export morphism_from_cox_variety +export MorphismFromRationalFunctions export morphism_of_projective_schemes export morphism_on_class_group export morphism_on_picard_group @@ -1147,6 +1149,7 @@ export primorial export principal_extension export print_constraints export product +export proj export proj_space export project_full export projection @@ -1209,6 +1212,7 @@ export regular_24_cell export regular_600_cell export regular_triangulation export regular_triangulations +export @register_serialization_type export relations export relative_ambient_dimension export relative_interior_point @@ -1390,6 +1394,7 @@ export truncate export turn_denominator_into_polyhedron export tutte_connectivity export tutte_polynomial +export two_neighbor_step export two_sided_ideal export underlying_glueing export underlying_morphism diff --git a/src/utils/docs.jl b/src/utils/docs.jl index 6c47b233ea5e..46cc1fb7fe0e 100644 --- a/src/utils/docs.jl +++ b/src/utils/docs.jl @@ -111,9 +111,23 @@ function open_doc() end end +function start_doc_preview_server(;open_browser::Bool = true, port::Int = 8000) + build_dir = normpath(Oscar.oscardir, "docs", "build") + cmd = """ + using Pkg; + Pkg.activate(temp = true); + Pkg.add("LiveServer"); + using LiveServer; + LiveServer.serve(dir = "$build_dir", launch_browser = $open_browser, port = $port); + """ + live_server_process = run(`$(Base.julia_cmd()) -e $cmd`, wait = false) + atexit(_ -> kill(live_server_process)) + @info "Starting server with PID $(getpid(live_server_process)) listening on 127.0.0.1:$port" + return nothing +end @doc raw""" - build_doc(; doctest=false, strict=false, open_browser=true) + build_doc(; doctest=false, strict=false, open_browser=true, start_server=false) Build the manual of `Oscar.jl` locally and open the front page in a browser. @@ -136,7 +150,16 @@ doctesting error will always make makedocs throw an error in this mode". To prevent the opening of the browser at the end, set the optional parameter `open_browser` to `false`. -When working on the manual the `Revise` package can significantly sped +Alternatively, one can use the optional parameter `start_server` to start a web +server in the build directory which is accessible via `127.0.0.1:8000`. If both +`start_server` and `open_browser` are `true`, the browser will show this page. +The server keeps running in the background until the `julia` session is +terminated, so the proposed usage for this option is to run +`build_doc(start_server = true)` for the first build and +`build_doc(open_browser = false)` for following builds and only refresh the +browser tab. + +When working on the manual the `Revise` package can significantly speed up running `build_doc`. First, install `Revise` in the following way: ``` using Pkg ; Pkg.add("Revise") @@ -145,10 +168,10 @@ Second, restart Julia and load `Revise` before Oscar: ``` using Revise, Oscar; ``` -The first run of `build_doc` will take the usual few minutes, subsequently runs +The first run of `build_doc` will take the usual few minutes, subsequent runs will be significantly faster. """ -function build_doc(; doctest=false, strict=false, open_browser=true) +function build_doc(; doctest::Union{Symbol, Bool} = false, strict::Bool = false, open_browser::Bool = true, start_server::Bool = false) versioncheck = (VERSION.major == 1) && (VERSION.minor >= 7) versionwarn = "The Julia reference version for the doctests is 1.7 or later, but you are using @@ -162,7 +185,9 @@ $(VERSION). Running the doctests will produce errors that you do not expect." Pkg.activate(docsproject) do Base.invokelatest(Main.BuildDoc.doit, Oscar; strict=strict, local_build=true, doctest=doctest) end - if open_browser + if start_server + start_doc_preview_server(open_browser = open_browser) + elseif open_browser open_doc() end if doctest != false && !versioncheck diff --git a/system/Build.jl b/system/Build.jl index 60c6200d60ac..7c6d86c30929 100644 --- a/system/Build.jl +++ b/system/Build.jl @@ -2,7 +2,12 @@ if VERSION < v"1.9.0-DEV" error("Julia >= 1.9 required") end +oscarpath = pkgdir(Oscar) + using Pkg +Pkg.activate(temp=true) +Pkg.develop(path="$(oscarpath)") +using Oscar Pkg.add("PackageCompiler") Pkg.add("Libdl") @@ -11,9 +16,12 @@ using PackageCompiler, Libdl tmp = mktempdir(cleanup = false) CO = joinpath(tmp, "CompileOscar.jl") + write(CO, """ +using Pkg +Pkg.develop(path="$(oscarpath)") using Oscar -using Pkg, Test +using Test Oscar.system("precompile.jl") """) diff --git a/system/precompile.jl b/system/precompile.jl index 0c6f477ed8b3..811783a0e13c 100644 --- a/system/precompile.jl +++ b/system/precompile.jl @@ -2,7 +2,9 @@ import Pkg Pkg.add("Documenter") Pkg.add("PrettyTables") Pkg.add("Printf") +Pkg.add("Aqua") + +Pkg.precompile() include(joinpath(pkgdir(Oscar), "test", "runtests.jl")) Hecke.system("precompile.jl") - diff --git a/test/AlgebraicGeometry/Schemes/elliptic_surface.jl b/test/AlgebraicGeometry/Schemes/elliptic_surface.jl index dd270c8d84fa..8245d78facaa 100644 --- a/test/AlgebraicGeometry/Schemes/elliptic_surface.jl +++ b/test/AlgebraicGeometry/Schemes/elliptic_surface.jl @@ -79,7 +79,7 @@ end @testset "normalize_quartic and transform_to_weierstrass" begin R, (x, y) = polynomial_ring(QQ, [:x, :y]) P, (u, v) = polynomial_ring(QQ, [:u, :v]) - f = (3*x^2 - 5)^2*(y - 5*x^3 + 30*x - 5)^2 - (x^2 -5*x + 2) + f = (3*x^2 - 5)^2*(y - 5*x^3 + 30*x - 5)^2 - (7*x^3 + x^2 -5*x + 2) g, trans = Oscar._normalize_hyperelliptic_curve(f, parent=P) @test trans(f) == g @@ -94,7 +94,7 @@ end kt = fraction_field(pt) R, (x, y) = polynomial_ring(kt, [:x, :y]) P, (u, v) = polynomial_ring(kt, [:u, :v]) - f = (3*x^2 - 5*t^2)^2*(y - 5*t*x^3 + 30*x - 5)^2 - (t*x^2 -5*x + 2*t^2) + f = (3*x^2 - 5*t^2)^2*(y - 5*t*x^3 + 30*x - 5)^2 - (x^3 + t*x^2 -5*x + 2*t^2) g, trans = Oscar._normalize_hyperelliptic_curve(f, parent=P) @test trans(f) == g diff --git a/test/AlgebraicGeometry/ToricVarieties/proj.jl b/test/AlgebraicGeometry/ToricVarieties/proj.jl new file mode 100644 index 000000000000..3496afc80d54 --- /dev/null +++ b/test/AlgebraicGeometry/ToricVarieties/proj.jl @@ -0,0 +1,75 @@ +@testset "Projectivization of direct sum of line bundles on toric space (set_attributes = $set_attributes)" for set_attributes in [true, false] + P1 = projective_space(NormalToricVariety, 1; set_attributes) + @testset "Test of the Hirzebruch surfaces from 0 to 10" begin + for a in 0:10 + Da = toric_divisor(P1, [a,0]) + D0 = toric_divisor(P1, [0,0]) + X = proj(D0, Da) + @test is_smooth(X) == true + @test (a < 2) == is_fano(X) + @test rank(picard_group(X)) == 2 + @test integrate(cohomology_class(anticanonical_divisor(X))^dim(X)) == integrate(cohomology_class(anticanonical_divisor(hirzebruch_surface(NormalToricVariety, a)))^2) + end + end + + # We will test the rank of the Picard group and the constant (-K_X)^3 + # Our reference is https://www.fanography.info/toric + + # Let us start from the projective bundle over P2 + P2 = projective_space(NormalToricVariety, 2; set_attributes) + D0 = toric_divisor(P2, [0,0,0]) + X1_P2 = proj(D0, D0) + D1 = toric_divisor(P2, [0,0,1]) + X2_P2 = proj(D0, D1) + D2 = toric_divisor(P2, [0,2,0]) + X3_P2 = proj(D0, D2) + @testset "Test of some Fano projective bundles of dimension 3 over P2" begin + @test rank(picard_group(X1_P2)) == 2 + @test is_fano(X1_P2) == true + @test integrate(cohomology_class(anticanonical_divisor(X1_P2))^dim(X1_P2)) == 54 + @test rank(picard_group(X2_P2)) == 2 + @test is_fano(X2_P2) == true + @test integrate(cohomology_class(anticanonical_divisor(X2_P2))^dim(X2_P2)) == 56 + @test rank(picard_group(X3_P2)) == 2 + @test is_fano(X3_P2) == true + @test integrate(cohomology_class(anticanonical_divisor(X3_P2))^dim(X3_P2)) == 62 + end + + # Projective bundle over F1 = hirzebruch_surface(1) + D0 = toric_divisor(P1, [0,0]) + D1 = toric_divisor(P1, [-1,0]) + F1 = proj(D0, D1) + X1_F1 = proj(toric_divisor(F1, [1,1,0,0]), toric_divisor(F1, [1,1,0,0])) + l1_F1 = toric_line_bundle(F1, [1,1]) + X2_F1 = proj(toric_line_bundle(F1, [0,0]), l1_F1) + @testset "Test of some Fano projective bundles of dimension 3 over F1" begin + @test rank(picard_group(X1_F1)) == 3 + @test is_fano(X1_F1) == true + @test integrate(cohomology_class(anticanonical_divisor(X1_F1))^dim(X1_F1)) == 48 + @test integrate(cohomology_class(l1_F1)^2) == 1 + @test rank(picard_group(X2_F1)) == 3 + @test is_fano(X2_F1) == true + @test integrate(cohomology_class(anticanonical_divisor(X2_F1))^dim(X2_F1)) == 50 + end + + P1xP1 = proj(D0, D0) + O00 = toric_line_bundle(P1xP1, [0,0]) + O10 = toric_line_bundle(P1xP1, [1,0]) + O01 = toric_line_bundle(P1xP1, [0,1]) + O11 = toric_line_bundle(P1xP1, [1,1]) + X1_P1xP1 = proj(O10, O01) + X2_P1xP1 = proj(O10, O10) + X3_P1xP1 = proj(O00, O11) + @testset "Test of some Fano projective bundles of dimension 3 over P1 * P1" begin + @test rank(picard_group(X1_P1xP1)) == 3 + @test is_fano(X1_P1xP1) == true + @test integrate(cohomology_class(anticanonical_divisor(X1_P1xP1))^dim(X1_P1xP1)) == 44 + @test rank(picard_group(X2_P1xP1)) == 3 + @test is_fano(X2_P1xP1) == true + @test integrate(cohomology_class(anticanonical_divisor(X2_P1xP1))^dim(X2_P1xP1)) == 48 + @test rank(picard_group(X3_P1xP1)) == 3 + @test is_fano(X3_P1xP1) == true + @test integrate(cohomology_class(anticanonical_divisor(X3_P1xP1))^dim(X3_P1xP1)) == 52 + end + +end \ No newline at end of file diff --git a/test/AlgebraicGeometry/ToricVarieties/runtests.jl b/test/AlgebraicGeometry/ToricVarieties/runtests.jl index 2f41dc9a13ea..9b92e2b4d6fd 100644 --- a/test/AlgebraicGeometry/ToricVarieties/runtests.jl +++ b/test/AlgebraicGeometry/ToricVarieties/runtests.jl @@ -14,6 +14,7 @@ include("toric_divisors.jl") include("toric_divisor_classes.jl") include("line_bundles.jl") include("line_bundle_cohomologies.jl") +include("proj.jl") include("intersection_numbers.jl") include("subvarieties.jl") include("algebraic_cycles.jl") diff --git a/test/Modules/ModulesGraded.jl b/test/Modules/ModulesGraded.jl index 1c64449a5032..cb8cd2f3d2dc 100644 --- a/test/Modules/ModulesGraded.jl +++ b/test/Modules/ModulesGraded.jl @@ -946,7 +946,7 @@ end @assert is_welldefined(M2_to_N2) phi = hom_product(prod_M,prod_N,[M1_to_N1 M1_to_N2; M2_to_N1 M2_to_N2]) - @test degree(phi) == 6*Z[1] + @test degree(phi) == 6*Z[1] for g in gens(M1) @test M1_to_N1(g) == Hecke.canonical_projection(prod_N,1)(phi(emb[1](g))) @test M1_to_N2(g) == Hecke.canonical_projection(prod_N,2)(phi(emb[1](g))) diff --git a/test/Project.toml b/test/Project.toml index d93f51719f1a..098d9586cce9 100644 --- a/test/Project.toml +++ b/test/Project.toml @@ -7,4 +7,4 @@ Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40" [compat] -Aqua = "0.6.2" +Aqua = "0.7" diff --git a/test/Serialization/QuadForm.jl b/test/Serialization/QuadForm.jl index efa6e4ba9836..afe23145ba89 100644 --- a/test/Serialization/QuadForm.jl +++ b/test/Serialization/QuadForm.jl @@ -13,23 +13,23 @@ end @testset "QuadSpace" begin - F,a = quadratic_field(2) - V = quadratic_space(F, F[a;]) + F,a = quadratic_field(2) + V = quadratic_space(F, F[a;]) - test_save_load_roundtrip(path, V) do loaded - F1 = base_ring(loaded) - iso = hom(F1,F,gen(F)) - @test gram_matrix(V) == map_entries(iso,gram_matrix(loaded)) - end + test_save_load_roundtrip(path, V) do loaded + F1 = base_ring(loaded) + iso = hom(F1,F,gen(F)) + @test gram_matrix(V) == map_entries(iso,gram_matrix(loaded)) + end R, x = polynomial_ring(F, "x") FF, b =extension_field(x^2 - a) VFF = quadratic_space(FF,FF[b;]) test_save_load_roundtrip(path, VFF) do loaded - FF1 = base_ring(loaded) - F1 = base_field(FF1) - isoF = hom(F1,F,gen(F)) - isoFF = hom(FF1,FF,isoF,gen(FF)) - @test gram_matrix(VFF) == map_entries(isoFF,gram_matrix(loaded)) + FF1 = base_ring(loaded) + F1 = base_field(FF1) + isoF = hom(F1,F,gen(F)) + isoFF = hom(FF1,FF,isoF,gen(FF)) + @test gram_matrix(VFF) == map_entries(isoFF,gram_matrix(loaded)) end end end diff --git a/test/Serialization/TropicalGeometry.jl b/test/Serialization/TropicalGeometry.jl index 5c0fd54de677..d89f0b88be40 100644 --- a/test/Serialization/TropicalGeometry.jl +++ b/test/Serialization/TropicalGeometry.jl @@ -1,35 +1,35 @@ @testset "Tropical Geometry" begin - mktempdir() do path - @testset "Tropical Curves" begin - IM = IncidenceMatrix([[1,2],[1,3],[1,4]]) - @testset "Abstract" begin - abs_TC = TropicalCurve(IM) - test_save_load_roundtrip(path, abs_TC) do loaded - @test graph(loaded) == graph(abs_TC) - end - end - - @testset "Embedded" begin - VR = [0 0; 1 0; -1 0; 0 1] - PC = polyhedral_complex(QQFieldElem, IM, VR) - TC = TropicalCurve(PC) - test_save_load_roundtrip(path, TC) do loaded - loaded_PC = underlying_polyhedral_complex(loaded) - @test nrays(PC) == nrays(loaded_PC) - @test n_maximal_polyhedra(PC) == n_maximal_polyhedra(loaded_PC) - @test dim(PC) == dim(loaded_PC) - end - end + mktempdir() do path + @testset "Tropical Curves" begin + IM = IncidenceMatrix([[1,2],[1,3],[1,4]]) + @testset "Abstract" begin + abs_TC = TropicalCurve(IM) + test_save_load_roundtrip(path, abs_TC) do loaded + @test graph(loaded) == graph(abs_TC) end + end - @testset "Tropical Hypersurfaces" begin - T = TropicalSemiring(min) - Txy,(x,y) = T["x","y"] - f = x + y^2 - Tf = TropicalHypersurface(f) - test_save_load_roundtrip(path, Tf) do loaded - @test f == polynomial(loaded) - end + @testset "Embedded" begin + VR = [0 0; 1 0; -1 0; 0 1] + PC = polyhedral_complex(QQFieldElem, IM, VR) + TC = TropicalCurve(PC) + test_save_load_roundtrip(path, TC) do loaded + loaded_PC = underlying_polyhedral_complex(loaded) + @test nrays(PC) == nrays(loaded_PC) + @test n_maximal_polyhedra(PC) == n_maximal_polyhedra(loaded_PC) + @test dim(PC) == dim(loaded_PC) end + end + end + + @testset "Tropical Hypersurfaces" begin + T = TropicalSemiring(min) + Txy,(x,y) = T["x","y"] + f = x + y^2 + Tf = TropicalHypersurface(f) + test_save_load_roundtrip(path, Tf) do loaded + @test f == polynomial(loaded) + end end + end end diff --git a/test/Serialization/basic_types.jl b/test/Serialization/basic_types.jl index 8f3d125b8f32..f36fa320c9c4 100644 --- a/test/Serialization/basic_types.jl +++ b/test/Serialization/basic_types.jl @@ -42,49 +42,50 @@ function test_save_load_roundtrip(func, path, original::T; params=nothing) where end @testset "basic_types" begin + + mktempdir() do path + @testset "Testing (de)serialization of $(T)" for T in + ( + UInt, UInt8, UInt16, UInt32, UInt64, UInt128, + Int, Int8, Int16, Int32, Int64, Int128, + Float16, Float32, Float64, + BigInt, + ZZRingElem, + QQFieldElem, + residue_ring(ZZ, ZZ(6)), + residue_ring(ZZ, 6), + Nemo.fpField(UInt(7)), + Nemo.FpField(ZZRingElem(7)), + #PadicField(7, 30), + #TropicalSemiring() + ) + original = T(1) + test_save_load_roundtrip(path, original) do loaded + @test loaded == original + end + end - mktempdir() do path - @testset "Testing (de)serialization of $(T)" for T in - ( - UInt, UInt8, UInt16, UInt32, UInt64, UInt128, - Int, Int8, Int16, Int32, Int64, Int128, - Float16, Float32, Float64, - BigInt, - ZZRingElem, - QQFieldElem, - residue_ring(ZZ, 6), - Nemo.fpField(UInt(7)), - Nemo.FpField(ZZRingElem(7)), - #PadicField(7, 30), - #TropicalSemiring() - ) - original = T(1) - test_save_load_roundtrip(path, original) do loaded - @test loaded == original - end - end - - @testset "String" begin - original = "original" - test_save_load_roundtrip(path, original) do loaded - @test loaded == original - end - end + @testset "String" begin + original = "original" + test_save_load_roundtrip(path, original) do loaded + @test loaded == original + end + end - @testset "Symbol" begin - original = :original - test_save_load_roundtrip(path, original) do loaded - @test loaded == original - end - end + @testset "Symbol" begin + original = :original + test_save_load_roundtrip(path, original) do loaded + @test loaded == original + end + end - @testset "Singleton types" begin - test_save_load_roundtrip(path, ZZ) do loaded - @test loaded === ZZ - end - test_save_load_roundtrip(path, QQ) do loaded - @test loaded === QQ - end - end + @testset "Singleton types" begin + test_save_load_roundtrip(path, ZZ) do loaded + @test loaded === ZZ + end + test_save_load_roundtrip(path, QQ) do loaded + @test loaded === QQ + end end + end end diff --git a/test/Serialization/vlp.json b/test/Serialization/vlp.json index 9c57a52a0d28..8a06ea914cda 100644 --- a/test/Serialization/vlp.json +++ b/test/Serialization/vlp.json @@ -1,10 +1,10 @@ { - "type": { + "_type": { "name": "Vector", "params": { "name": "LinearProgram", "params": { - "type": "QQField" + "_type": "QQField" } } }, diff --git a/test/runtests.jl b/test/runtests.jl index d4467084e037..cdcd5972cd04 100644 --- a/test/runtests.jl +++ b/test/runtests.jl @@ -6,6 +6,9 @@ import Random numprocs_str = get(ENV, "NUMPROCS", "1") +oldWorkingDirectory = pwd() +cd(joinpath(pkgdir(Oscar), "test")) + if !isempty(ARGS) jargs = [arg for arg in ARGS if startswith(arg, "-j")] if !isempty(jargs) @@ -103,7 +106,8 @@ end println("Making test list") -const testlist = [ +testlist = [ + "Aqua.jl", "printing.jl", @@ -169,3 +173,5 @@ if numprocs == 1 print_stats(stdout; max=10) end end + +cd(oldWorkingDirectory)