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refined det syntax
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@chakravala
chakravala committed Jan 6, 2025
1 parent ab1a41e commit 708dd6b
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Showing 3 changed files with 18 additions and 14 deletions.
4 changes: 2 additions & 2 deletions src/Grassmann.jl
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Expand Up @@ -601,12 +601,12 @@ function __init__()
@require GeometryBasics = "5c1252a2-5f33-56bf-86c9-59e7332b4326" begin
GeometryBasics.Point(t::Values) = GeometryBasics.Point(Tuple(t.v))
GeometryBasics.Point(t::Variables) = GeometryBasics.Point(Tuple(t.v))
Base.convert(::Type{GeometryBasics.Point},t::T) where T<:TensorTerm{V} where V = GeometryBasics.Point(value(Chain{V,valuetype(t)}(vector(t))))
Base.convert(::Type{GeometryBasics.Point},t::T) where T<:TensorTerm{V} where V = convert(GeometryBasis.Point,Chain(t))
Base.convert(::Type{GeometryBasics.Point},t::T) where T<:TensorTerm{V,0} where V = GeometryBasics.Point(zeros(valuetype(t),mdims(V))...)
Base.convert(::Type{GeometryBasics.Point},t::T) where T<:TensorAlgebra = GeometryBasics.Point(value(vector(t)))
Base.convert(::Type{GeometryBasics.Point},t::T) where T<:Couple = GeometryBasics.Point(t.v.re,t.v.im)
Base.convert(::Type{GeometryBasics.Point},t::T) where T<:Phasor = GeometryBasics.Point(t.v.re,t.v.im)
Base.convert(::Type{GeometryBasics.Point},t::Chain{V,G,T}) where {V,G,T} = G == 1 ? GeometryBasics.Point(value(vector(t))) : GeometryBasics.Point(zeros(T,mdims(V))...)
Base.convert(::Type{GeometryBasics.Point},t::Chain{V,G,T}) where {V,G,T} = GeometryBasics.Point(value(t))
GeometryBasics.Point(t::T) where T<:TensorAlgebra = convert(GeometryBasics.Point,t)
pointpair(p,V) = Pair(GeometryBasics.Point.(V.(value(p)))...)
@pure ptype(::GeometryBasics.Point{N,T} where N) where T = T
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14 changes: 7 additions & 7 deletions src/composite.jl
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Expand Up @@ -909,10 +909,10 @@ function Base.findlast(P,t::ChainBundle)
end
Base.findall(P,t) = findall(P .∈ getindex.(points(t),value(t)))

edgelength(e) = (v=points(e)[value(e)]; value(abs(v[2]-v[1])))
volumes(m,dets) = value.(abs.(.⋆(dets)))
volumes(m) = mdims(Manifold(m))≠2 ? volumes(m,detsimplex(m)) : edgelength.(value(m))
detsimplex(m::Vector{<:Chain{V}}) where V = ∧(m)/factorial(mdims(V)-1)
edgelength(e) = (v=points(e)[value(e)]; Real(abs(v[2]-v[1])))
volumes(m,dets) = Real.(abs.(dets))
volumes(m) = mdims(Manifold(m))≠2 ? Real.(abs.(detsimplex(m))) : edgelength.(value(m))
detsimplex(m::Vector{<:Chain{V}}) where V = det(m)/factorial(mdims(V)-1)
detsimplex(m::ChainBundle) = detsimplex(value(m))
mean(m::T) where T<:AbstractVector{<:Chain} = sum(m)/length(m)
mean(m::T) where T<:Values = sum(m)/length(m)
Expand All @@ -923,9 +923,9 @@ barycenter(m::Chain{V,1,<:Chain} where V) = barycenter(value(m))
curl(m::FixedVector{N,<:Chain{V}} where N) where V = curl(Chain{V,1}(m))
curl(m::Values{N,<:Chain{V}} where N) where V = curl(Chain{V,1}(m))
curl(m::T) where T<:TensorAlgebra = Manifold(m)(∇)×m
LinearAlgebra.det(t::Chain{V,1,<:Chain} where V) = ∧(t)
LinearAlgebra.det(m::Vector{<:Chain{V}}) where V = ∧(m)
LinearAlgebra.det(m::ChainBundle) = ∧(m)
LinearAlgebra.det(t::Chain{V,1,<:Chain} where V) = !∧(t)
LinearAlgebra.det(m::Vector{<:Chain{V}}) where V = .!∧(m)
LinearAlgebra.det(m::ChainBundle) = .!∧(m)
∧(m::ChainBundle) = ∧(value(m))
function ∧(m::Vector{<:Chain{V}}) where V
p = points(m); pm = p[m]
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14 changes: 9 additions & 5 deletions src/forms.jl
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Expand Up @@ -487,8 +487,10 @@ Base.zero(t::Type{<:DiagonalOperator{V,T}}) where {V,T} = DiagonalOperator(zero(

scalar(m::DiagonalOperator) = tr(m)/length(value(m))
LinearAlgebra.tr(m::DiagonalOperator) = sum(value(value(m)))
LinearAlgebra.det(m::DiagonalMorphism{V}) where V = Chain{V,mdims(V)}(prod(value(value(m))))
LinearAlgebra.det(m::DiagonalOutermorphism{V}) where V = value(m)(Val(mdims(V)))
LinearAlgebra.det(m::DiagonalMorphism) = !∧(m)
LinearAlgebra.det(m::DiagonalOutermorphism) = !∧(m)
∧(m::DiagonalMorphism{V}) where V = Chain{V,mdims(V)}(prod(value(value(m))))
∧(m::DiagonalOutermorphism{V}) where V = value(m)(Val(mdims(V)))
compound(m::DiagonalMorphism{V},::Val{0}) where V = DiagonalOperator(Chain{V,0}(1))
@generated function compound(m::DiagonalMorphism{V},::Val{G}) where {V,G}
Expr(:call,:DiagonalOperator,Expr(:call,:(Chain{V,G}),Expr(:call,Values,[Expr(:call,:*,[:(@inbounds m.v[$i]) for i ∈ indices(j)]...) for j ∈ indexbasis(mdims(V),G)]...)))
Expand Down Expand Up @@ -551,7 +553,8 @@ getindex(t::TensorOperator,i::Int) = value(t.v)[i]
Base.transpose(t::TensorOperator) = TensorOperator(transpose(value(t)))
scalar(m::Endomorphism) = tr(m)/length(value(m))
LinearAlgebra.tr(m::Endomorphism) = tr(value(m))
LinearAlgebra.det(t::TensorOperator) = ∧(value(t))
LinearAlgebra.det(t::TensorOperator) = !∧(value(t))
∧(t::TensorOperator) = ∧(value(t))

Base.zero(t::TensorOperator) = TensorOperator(zero(value(t)))
Base.zero(t::Type{<:TensorOperator{V,W,T}}) where {V,W,T} = TensorOperator(zero(T))
Expand Down Expand Up @@ -676,7 +679,8 @@ getindex(t::Outermorphism{V},i::Int) where V = iszero(i) ? Chain{V,0}((Chain(One
Base.transpose(m::Outermorphism) = Outermorphism(map(transpose,value(m)))
scalar(m::Outermorphism{V}) where V = tr(m)/(1<<mdims(V))
LinearAlgebra.tr(m::Outermorphism) = 1+sum(map(tr,value(m)))
LinearAlgebra.det(m::Outermorphism) = (@inbounds value(value(m)[end])[1])
LinearAlgebra.det(m::Outermorphism) = !∧(m)
∧(m::Outermorphism) = (@inbounds value(value(m)[end])[1])

Base.zero(t::Outermorphism) = Outermorphism(zero.(value(t)))
@generated function Base.zero(t::Type{<:Outermorphism{V,T}}) where {V,T}
Expand Down Expand Up @@ -1156,7 +1160,7 @@ eigpolys(X::DiagonalOutermorphism) = eigpolys(value(X)(Val(1)))

eigprods(X,G::Int) = eigprods(X,Val(G))
eigprods(X::TensorNested) = eigprods(eigvalsreal(X))
eigprods(X::TensorNested{V},g::Val{G}) where {V,G} = mdims(V)≠G ? eigprods(eigvalsreal(X),g) : det(X)
eigprods(X::TensorNested{V},g::Val{G}) where {V,G} = mdims(V)≠G ? eigprods(eigvalsreal(X),g) : ∧(X)
eigprods(X::TensorAlgebra{V},::Val{0}) where V = Chain{V,0}(1)
eigprods(x::Chain{V,1} where V,::Val{1}) = x
@generated function eigprods(x::Chain{V,1},::Val{G}) where {V,G}
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Registration pull request created: JuliaRegistries/General/122500

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## Breaking changes

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