add TriangleGrp for parsing purposes

data/parse_presentations.jl

@@ -26,3 +26,49 @@ function parse_grouppresentations_abstract(filename::AbstractString)
     end
     return groups
 end
+
+# parse_grouppresentations_abstract("./data/presentations_2_4_4.txt")
+
+function _tf_missing(x::Any)
+    s = strip(x)
+    mis = !isnothing(match(r"(\?)*", x))
+    no = !isnothing(match(r"no"i, x))
+    yes = !isnothing(match(r"yes"i, x))
+    mis && return missing
+    yes && !no && return true
+    !yes && no && return false
+    throw(ArgumentError("Unrecognized option: $x"))
+end
+
+function parse_vec(s::AbstractString)
+    m = match(r"^\s*\[(.*)\]\s*$", s)
+    isnothing(m) && throw("String does not seem to represent a vector: $s")
+    content = m[1]
+    return strip.(split(content, ','))
+end
+
+parse_vec(T::Type{<:AbstractString}, s::AbstractString) = T.(parse_vec(s))
+function parse_vec(::Type{T}, s::AbstractString) where {T<:Number}
+    v = parse_vec(String, s)
+    isempty(v) && return T[]
+    length(v) == 1 && isempty(first(v)) && return T[]
+    return parse.(T, parse_vec(String, s))
+end
+
+function parse_vec(
+    ::Type{T},
+    s::AbstractString,
+) where {A<:AbstractString,B<:Number,T<:Tuple{A,B}}
+    v = parse_vec(s)
+    if length(v) == 1
+        @assert isempty(first(v))
+        return Tuple{A,B}[]
+    end
+    @assert iseven(length(v))
+    return map(1:2:length(v)) do i
+        @assert first(v[i]) == '(' && last(v[i+1]) == ')'
+        key = v[i][begin+1:end]
+        val = v[i+1][begin:end-1]
+        (A(key), parse(B, val))
+    end
+end

data/smallhyperbolicgrp.jl

@@ -0,0 +1,59 @@
+struct TriangleGrp
+    generators::Vector{String}
+    relations::Vector{String}
+    order1::Int
+    order2::Int
+    order3::Int
+    index::Int
+    presentation_length::Int
+    hyperbolic::Union{Missing,Bool}
+    witnesses_non_hyperbolictity::Union{Missing,Vector{String}}
+    virtually_torsion_free::Union{Missing,Bool}
+    Kazdhdan_property_T::Union{Missing,Bool}
+    abelianization_dimension::Int
+    L2_quotients::Vector{String}
+    quotients::Vector{Pair{String,Int}}
+    alternating_quotients::Vector{Int}
+    maximal_order_alt_quo::Int
+end
+
+_name(G) = "G_$(G.order1)_$(G.order2)_$(G.order3)_$(G.index)"
+name(G::TriangleGrp) = _name(G)
+grp_name(nt::NamedTuple) = _name(nt)
+
+latex_name(G::TriangleGrp) ="\$G^{$(G.order1),$(G.order2),$(G.order3)}_$(G.index)"
+
+function TriangleGrp(generators, relations, nt::NamedTuple)
+    # @assert fieldnames(SmallHyperbolicGrp) == propertynames(nt)
+    hyperbolic, witness = if hasproperty(nt, :hyperbolic)
+        h = _tf_missing(nt.hyperbolic)
+        nh_w = nt.witnesses_for_non_hyperbolicity
+        w = isempty(strip(nh_w)) ? missing : parse_vec(String, '[' * nh_w * ']')
+        h, w
+    elseif 1 // nt.order1 + 1 // nt.order2 + 1 // nt.order3 < 1
+        true, missing
+    else
+        missing, missing
+    end
+
+    TriangleGrp(
+        convert(Vector{String}, generators),
+        convert(Vector{String}, relations),
+        convert(Int, nt.order1),
+        convert(Int, nt.order2),
+        convert(Int, nt.order3),
+        convert(Int, nt.index),
+        convert(Int, nt.presentation_length),
+        hyperbolic,
+        witness,
+        _tf_missing(nt.virtually_torsion_free),
+        _tf_missing(nt.Kazhdan),
+        convert(Int, nt.abelianization_dimension),
+        parse_vec(String, nt.L2_quotients),
+        [Pair(p...) for p in parse_vec(Tuple{String,Int}, nt.quotients)],
+        parse_vec(Int, nt.alternating_quotients),
+        convert(Int, nt.maximal_order_for_alternating_quotients),
+    )
+end
+
+