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replace strings with Symbols
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@ -25,7 +25,7 @@ end
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struct Identity end
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struct AutSymbol <: GSymbol
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str::String
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id::Symbol
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pow::Int8
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fn::Union{LTransvect, RTransvect, PermAut, FlipAut, Identity}
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end
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@ -108,26 +108,25 @@ function subscriptify(n::Integer)
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end
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function id_autsymbol()
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return AutSymbol("(id)", 0, Identity())
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return AutSymbol(Symbol("(id)"), 0, Identity())
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end
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function rmul_autsymbol(i::I, j::I; pow::Integer=one(I)) where I<:Integer
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str = "ϱ"*subscriptify(i)*subscriptify(j)
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return AutSymbol(str, I(pow), RTransvect(i, j))
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function rmul_autsymbol(i::Integer, j::Integer; pow::Integer=1)
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id = Symbol("ϱ", subscriptify(i), subscriptify(j))
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return AutSymbol(id, pow, RTransvect(i, j))
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end
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function lmul_autsymbol(i::I, j::I; pow::Integer=one(I)) where I<:Integer
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str = "λ"*subscriptify(i)*subscriptify(j)
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return AutSymbol(str, I(pow), LTransvect(i, j))
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function lmul_autsymbol(i::Integer, j::Integer; pow::Integer=1)
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id = Symbol("λ", subscriptify(i), subscriptify(j))
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return AutSymbol(id, pow, LTransvect(i, j))
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end
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function flip_autsymbol(i::I; pow::Integer=one(I)) where I<:Integer
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pow = I((2+pow%2)%2)
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if pow == zero(I)
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function flip_autsymbol(i::Integer; pow::Integer=1)
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if iseven(pow)
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return id_autsymbol()
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else
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str = "ɛ"*subscriptify(i)
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return AutSymbol(str, I(pow), FlipAut(i))
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id = Symbol("ɛ", subscriptify(i))
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return AutSymbol(id, 1, FlipAut(i))
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end
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end
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@ -137,8 +136,8 @@ function perm_autsymbol(p::Generic.perm{I}; pow::Integer=one(I)) where I<:Intege
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end
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for i in eachindex(p.d)
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if p.d[i] != i
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str = "σ"*join([subscriptify(i) for i in p.d])
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return AutSymbol(str, one(I), PermAut(p))
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id = Symbol("σ", [subscriptify(i) for i in p.d]...)
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return AutSymbol(id, 1, PermAut(p))
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end
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end
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return id_autsymbol()
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@ -238,7 +237,7 @@ end
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const HASHINGCONST = 0x7d28276b01874b19 # hash(Automorphism)
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hash(s::AutSymbol, h::UInt) = hash(s.str, hash(s.pow, hash(:AutSymbol, h)))
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hash(s::AutSymbol, h::UInt) = hash(s.id, hash(s.pow, hash(:AutSymbol, h)))
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function hash(g::Automorphism, h::UInt)
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if g.modified
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@ -293,7 +292,7 @@ function change_pow(s::AutSymbol, n::Integer)
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return s
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else
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warn("Changing power of an unknown type of symbol! $s")
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return AutSymbol(s.str, n, s.fn)
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return AutSymbol(s.id, n, s.fn)
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end
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end
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@ -5,7 +5,7 @@
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###############################################################################
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struct FPSymbol <: GSymbol
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str::String
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id::Symbol
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pow::Int
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end
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@ -40,9 +40,10 @@ elem_type(::FPGroup) = FPGroupElem
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#
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###############################################################################
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FPSymbol(s::String) = FPSymbol(s,1)
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FPSymbol(s::Symbol) = FPSymbol(s, 1)
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FPSymbol(s::String) = FPSymbol(Symbol(s))
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convert(::Type{FPSymbol}, s::FreeSymbol) = FPSymbol(s.str, s.pow)
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convert(::Type{FPSymbol}, s::FreeSymbol) = FPSymbol(s.id, s.pow)
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FPGroup(gens::Vector{FPSymbol}) = FPGroup(gens, Dict{FPGroupElem, FPGroupElem}())
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@ -74,7 +75,7 @@ function (G::FPGroup)(w::GWord)
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if eltype(w.symbols) == FPSymbol
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for s in w.symbols
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i = findfirst(g -> g.str == s.str, G.gens)
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i = findfirst(g -> g.id == s.id, G.gens)
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i == 0 && throw(DomainError(
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"Symbol $s does not belong to $G."))
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s.pow % G.gens[i].pow == 0 || throw(DomainError(
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@ -93,9 +94,9 @@ end
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#
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###############################################################################
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hash(s::FPSymbol, h::UInt) = hash(s.str, hash(s.pow, hash(FPSymbol, h)))
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hash(s::FPSymbol, h::UInt) = hash(s.id, hash(s.pow, hash(FPSymbol, h)))
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change_pow(s::FPSymbol, n::Int) = FPSymbol(s.str, n)
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change_pow(s::FPSymbol, n::Int) = FPSymbol(s.id, n)
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length(s::FPSymbol) = abs(s.pow)
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@ -5,7 +5,7 @@
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###############################################################################
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struct FreeSymbol <: GSymbol
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str::String
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id::Symbol
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pow::Int
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end
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@ -39,11 +39,12 @@ parent_type(::Type{FreeGroupElem}) = FreeGroup
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#
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###############################################################################
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FreeSymbol(s::String) = FreeSymbol(s,1)
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FreeSymbol(s::Symbol) = FreeSymbol(s,1)
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FreeSymbol(s::String) = FreeSymbol(Symbol(s))
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FreeGroup(n::Int, symbol::String="f") = FreeGroup(["$symbol$i" for i in 1:n])
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FreeGroup(n::Int, symbol::String="f") = FreeGroup([Symbol(symbol,i) for i in 1:n])
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FreeGroup(a::Vector{String}) = FreeGroup([FreeSymbol(i) for i in a])
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FreeGroup(a::Vector) = FreeGroup(FreeSymbol.(a))
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###############################################################################
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#
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@ -60,7 +61,7 @@ end
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function (G::FreeGroup)(w::GroupWord{FreeSymbol})
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if length(w) > 0
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for s in w.symbols
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i = findfirst(g -> g.str == s.str, G.gens)
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i = findfirst(g -> g.id == s.id, G.gens)
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i == 0 && throw(DomainError(
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"Symbol $s does not belong to $G."))
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s.pow % G.gens[i].pow == 0 || throw(DomainError(
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@ -79,9 +80,9 @@ end
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#
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###############################################################################
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hash(s::FreeSymbol, h::UInt) = hash(s.str, hash(s.pow, hash(FreeSymbol, h)))
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hash(s::FreeSymbol, h::UInt) = hash(s.id, hash(s.pow, hash(FreeSymbol, h)))
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change_pow(s::FreeSymbol, n::Int) = FreeSymbol(s.str, n)
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change_pow(s::FreeSymbol, n::Int) = FreeSymbol(s.id, n)
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length(s::FreeSymbol) = abs(s.pow)
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@ -26,7 +26,7 @@ using Markdown
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::GSymbol
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> Abstract type which all group symbols of AbstractFPGroups should subtype. Each
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> concrete subtype should implement fields:
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> * `str` which is the string representation/identification of a symbol
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> * `id` which is the `Symbol` representation/identification of a symbol
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> * `pow` which is the (multiplicative) exponent of a symbol.
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"""
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@ -128,7 +128,7 @@ function freereduce!(W::GWord)
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for i in 1:length(W.symbols) - 1
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if W.symbols[i].pow == 0
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continue
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elseif W.symbols[i].str == W.symbols[i+1].str
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elseif W.symbols[i].id == W.symbols[i+1].id
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reduced = false
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p1 = W.symbols[i].pow
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p2 = W.symbols[i+1].pow
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@ -161,7 +161,7 @@ end
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reduce(W::GWord)
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> performs reduction/simplification of a group element (word in generators).
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> The default reduction is the free group reduction, i.e. consists of
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> multiplying adjacent symbols with the same `str` identifier and deleting the
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> multiplying adjacent symbols with the same `id` identifier and deleting the
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> identity elements from `W.symbols`.
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> More specific procedures should be dispatched on `GWord`s type parameter.
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@ -196,9 +196,9 @@ end
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function show(io::IO, s::T) where {T<:GSymbol}
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if s.pow == 1
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print(io, s.str)
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print(io, string(s.id))
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else
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print(io, (s.str)*"^$(s.pow)")
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print(io, string((s.id))*"^$(s.pow)")
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end
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end
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@ -224,7 +224,7 @@ end
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function (==)(s::GSymbol, t::GSymbol)
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s.pow == t.pow || return false
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s.pow == 0 && return true
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s.str == t.str || return false
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s.id == t.id || return false
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return true
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end
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@ -317,7 +317,7 @@ end
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###############################################################################
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issubsymbol(s::GSymbol, t::GSymbol) =
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s.str == t.str && (0 ≤ s.pow ≤ t.pow || 0 ≥ s.pow ≥ t.pow)
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s.id == t.id && (0 ≤ s.pow ≤ t.pow || 0 ≥ s.pow ≥ t.pow)
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"""doc
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Find the first linear index k>=i such that Z < W.symbols[k:k+length(Z)-1]
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@ -3,9 +3,9 @@
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G = PermutationGroup(Int8(4))
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@testset "AutSymbol" begin
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@test_throws MethodError Groups.AutSymbol("a")
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@test_throws MethodError Groups.AutSymbol("a", 1)
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f = Groups.AutSymbol("a", 1, Groups.FlipAut(2))
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@test_throws MethodError Groups.AutSymbol(:a)
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@test_throws MethodError Groups.AutSymbol(:a, 1)
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f = Groups.AutSymbol(:a, 1, Groups.FlipAut(2))
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@test isa(f, Groups.GSymbol)
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@test isa(f, Groups.AutSymbol)
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@test isa(Groups.perm_autsymbol(Int8.([1,2,3,4])), Groups.AutSymbol)
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@ -82,7 +82,7 @@
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@testset "AutGroup/Automorphism constructors" begin
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f = Groups.AutSymbol("a", 1, Groups.FlipAut(1))
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f = Groups.AutSymbol(:a, 1, Groups.FlipAut(1))
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@test isa(Automorphism{3}(f), Groups.GWord)
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@test isa(Automorphism{3}(f), Automorphism)
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@test isa(AutGroup(FreeGroup(3)), AbstractAlgebra.Group)
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@ -1,11 +1,11 @@
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@testset "Groups.FreeSymbols" begin
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s = Groups.FreeSymbol("s")
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t = Groups.FreeSymbol("t")
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s = Groups.FreeSymbol(:s)
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t = Groups.FreeSymbol(:t)
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@testset "constructors" begin
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@test isa(Groups.FreeSymbol("aaaaaaaaaaaaaaaa"), Groups.GSymbol)
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@test Groups.FreeSymbol("abc").pow == 1
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@test isa(Groups.FreeSymbol(:aaaaaaaaaaaaaaaa), Groups.GSymbol)
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@test Groups.FreeSymbol(:abc).pow == 1
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@test isa(s, Groups.FreeSymbol)
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@test isa(t, Groups.FreeSymbol)
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end
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@ -14,20 +14,20 @@
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@test Groups.change_pow(s, 0) == Groups.change_pow(t, 0)
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@test length(Groups.change_pow(s, 0)) == 0
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@test inv(s).pow == -1
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@test Groups.FreeSymbol("s", 3) == Groups.change_pow(s, 3)
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@test Groups.FreeSymbol("s", 3) != Groups.FreeSymbol("t", 3)
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@test Groups.FreeSymbol(:s, 3) == Groups.change_pow(s, 3)
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@test Groups.FreeSymbol(:s, 3) != Groups.FreeSymbol(:t, 3)
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@test Groups.change_pow(inv(s), -3) == inv(Groups.change_pow(s, 3))
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end
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@testset "powers" begin
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s⁴ = Groups.change_pow(s,4)
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@test s⁴.pow == 4
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@test Groups.change_pow(s, 4) == Groups.FreeSymbol("s", 4)
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@test Groups.change_pow(s, 4) == Groups.FreeSymbol(:s, 4)
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end
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end
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@testset "FreeGroupSymbols manipulation" begin
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s = Groups.FreeSymbol("s")
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t = Groups.FreeSymbol("t", -2)
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t = Groups.FreeSymbol(:t, -2)
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@test isa(Groups.GroupWord(s), Groups.GWord{Groups.FreeSymbol})
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@test isa(Groups.GroupWord(s), FreeGroupElem)
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@ -60,7 +60,7 @@ end
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@test (s*s).symbols == (s^2).symbols
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@test hash([t^1,s^1]) == hash([t^2*inv(t),s*inv(s)*s])
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t_symb = Groups.FreeSymbol("t")
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t_symb = Groups.FreeSymbol(:t)
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tt = deepcopy(t)
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@test string(Groups.r_multiply!(tt,[inv(t_symb)]; reduced=true)) ==
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"(id)"
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@ -109,8 +109,8 @@ end
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end
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@testset "replacements" begin
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a = Groups.FreeSymbol("a")
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b = Groups.FreeSymbol("b")
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a = Groups.FreeSymbol(:a)
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b = Groups.FreeSymbol(:b)
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@test Groups.issubsymbol(a, Groups.change_pow(a,2)) == true
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@test Groups.issubsymbol(a, Groups.change_pow(a,-2)) == false
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@test Groups.issubsymbol(b, Groups.change_pow(a,-2)) == false
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