mirror of
https://github.com/kalmarek/SmallHyperbolic
synced 2024-09-01 05:25:34 +02:00
formatting
This commit is contained in:
parent
7e540e8493
commit
91fb10742e
@ -57,21 +57,22 @@ function SL2p_gens(p::Integer)
|
||||
end
|
||||
end
|
||||
|
||||
return a,b
|
||||
return a, b
|
||||
end
|
||||
|
||||
function adjacency(ϱ, a, b; prec=256)
|
||||
order_a = findfirst(i-> isone(a^i), 1:100)
|
||||
order_b = findfirst(i-> isone(b^i), 1:100)
|
||||
function adjacency(ϱ, a, b; prec = 256)
|
||||
order_a = findfirst(i -> isone(a^i), 1:100)
|
||||
order_b = findfirst(i -> isone(b^i), 1:100)
|
||||
@assert !isnothing(order_a) && order_a > 1
|
||||
@assert !isnothing(order_b) && order_b > 1
|
||||
|
||||
k = order_a-1 + order_b-1
|
||||
k = order_a - 1 + order_b - 1
|
||||
|
||||
A = AcbMatrix(ϱ(a), prec=prec)
|
||||
B = AcbMatrix(ϱ(b), prec=prec)
|
||||
A = AcbMatrix(ϱ(a), prec = prec)
|
||||
B = AcbMatrix(ϱ(b), prec = prec)
|
||||
res = sum(A^i for i = 1:order_a-1) + sum(B^i for i = 1:order_b-1)
|
||||
return Arblib.scalar_div!(res, res, k)
|
||||
#return Arblib.scalar_div!(res, res, k)
|
||||
return res
|
||||
end
|
||||
|
||||
function parse_our_args()
|
||||
@ -113,7 +114,8 @@ end
|
||||
parsed_args = parse_our_args()
|
||||
|
||||
const p = let p = parsed_args["p"]
|
||||
isprime(p) || @error "You need to provide a prime, ex: `julia adj_psl2_eigvals.jl -p 31`"
|
||||
isprime(p) ||
|
||||
@error "You need to provide a prime, ex: `julia adj_psl2_eigvals.jl -p 31`"
|
||||
p
|
||||
end
|
||||
|
||||
@ -124,14 +126,14 @@ open(LOGFILE, "w") do io
|
||||
@info "Logging into $LOGFILE"
|
||||
with_logger(SimpleLogger(io)) do
|
||||
|
||||
@info "Arguments:" args=parsed_args
|
||||
@info "Arguments:" args = parsed_args
|
||||
|
||||
a,b = SL2p_gens(p)
|
||||
a, b = SL2p_gens(p)
|
||||
a = SL₂{p}(get(parsed_args, "a", a))
|
||||
b = SL₂{p}(get(parsed_args, "b", b))
|
||||
@info "Generators" a b
|
||||
|
||||
Borel_cosets = let p = p, (a,b) = (a,b)
|
||||
Borel_cosets = let p = p, (a, b) = (a, b)
|
||||
SL2p, sizes =
|
||||
RamanujanGraphs.generate_balls([a, b, inv(a), inv(b)], radius = 21)
|
||||
@assert sizes[end] == RamanujanGraphs.order(SL₂{p})
|
||||
@ -143,11 +145,11 @@ open(LOGFILE, "w") do io
|
||||
|
||||
for j = 0:(p-1)÷4
|
||||
h = PrincipalRepr(
|
||||
α => unit_root((p - 1) ÷ 2, j, prec=PRECISION),
|
||||
α => unit_root((p - 1) ÷ 2, j, prec = PRECISION),
|
||||
Borel_cosets,
|
||||
)
|
||||
|
||||
@time adj = adjacency(h, a, b, prec=PRECISION)
|
||||
@time adj = adjacency(h, a, b, prec = PRECISION)
|
||||
|
||||
try
|
||||
@time evs = let evs = safe_eigvals(adj)
|
||||
@ -168,20 +170,20 @@ open(LOGFILE, "w") do io
|
||||
|
||||
if p % 4 == 1
|
||||
ub = (p - 1) ÷ 4
|
||||
ζ = unit_root((p + 1) ÷ 2, 1, prec=PRECISION)
|
||||
ζ = unit_root((p + 1) ÷ 2, 1, prec = PRECISION)
|
||||
else # p % 4 == 3
|
||||
ub = (p + 1) ÷ 4
|
||||
ζ = unit_root((p + 1), 1, prec=PRECISION)
|
||||
ζ = unit_root((p + 1), 1, prec = PRECISION)
|
||||
end
|
||||
|
||||
for k = 1:ub
|
||||
|
||||
h = DiscreteRepr(
|
||||
RamanujanGraphs.GF{p}(1) => unit_root(p, prec=PRECISION),
|
||||
RamanujanGraphs.GF{p}(1) => unit_root(p, prec = PRECISION),
|
||||
β => ζ^k,
|
||||
)
|
||||
|
||||
@time adj = adjacency(h, a, b, prec=PRECISION)
|
||||
@time adj = adjacency(h, a, b, prec = PRECISION)
|
||||
|
||||
try
|
||||
@time evs = let evs = safe_eigvals(adj)
|
||||
@ -196,11 +198,11 @@ open(LOGFILE, "w") do io
|
||||
end
|
||||
end
|
||||
end
|
||||
all_large_evs = sort(all_large_evs, rev=true)
|
||||
all_large_evs = sort(all_large_evs, rev = true)
|
||||
λ = all_large_evs[2]
|
||||
ε = (λ - 3)/5
|
||||
ε = (λ - 3) / 5
|
||||
α = acos(ε)
|
||||
α_deg = (α/pi)*180
|
||||
α_deg = (α / pi) * 180
|
||||
@info "Certified values:" λ ε α α_deg
|
||||
end # with_logger
|
||||
end # open(logfile)
|
||||
|
@ -10,18 +10,16 @@ const DATA_DIR = joinpath(@__DIR__, "..", "..", "data")
|
||||
|
||||
function _files_with_extension(dir::AbstractString, ext::AbstractString)
|
||||
return [
|
||||
joinpath(dir, f) for f in readdir(dir) if
|
||||
isfile(joinpath(dir, f)) && endswith(f, '.'*ext)
|
||||
joinpath(dir, f) for
|
||||
f in readdir(dir) if isfile(joinpath(dir, f)) && endswith(f, '.' * ext)
|
||||
]
|
||||
end
|
||||
|
||||
all_grps_presentations =
|
||||
let tables = _files_with_extension(DATA_DIR, "txt")
|
||||
all_grps_presentations = let tables = _files_with_extension(DATA_DIR, "txt")
|
||||
mapreduce(parse_grouppresentations_abstract, union, tables) |> Dict
|
||||
end
|
||||
end
|
||||
|
||||
grps =
|
||||
let csvs = _files_with_extension(DATA_DIR, "csv")
|
||||
grps = let csvs = _files_with_extension(DATA_DIR, "csv")
|
||||
|
||||
trGrps = mapreduce(union, csvs) do file
|
||||
m = match(r".*_(\d)_(\d)_(\d).csv", basename(file))
|
||||
@ -33,12 +31,12 @@ grps =
|
||||
groups = data[2:end, :]
|
||||
grps = map(enumerate(eachrow(groups))) do (i, props)
|
||||
nt = (; (Symbol(l) => v for (l, v) in zip(labels, props))...)
|
||||
@debug i, grp_name(nt)
|
||||
# @debug i, grp_name(nt)
|
||||
P = all_grps_presentations[grp_name(nt)]
|
||||
grp = TriangleGrp(type, P.generators, P.relations, nt)
|
||||
end
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
open(joinpath(DATA_DIR, "triangle_groups.json"), "w") do io
|
||||
f(args...) = show_json(args...; indent = 4)
|
||||
|
Loading…
Reference in New Issue
Block a user