rewrite
This commit is contained in:
parent
9cc5bcfc00
commit
cb16c78690
177
MCG.jl
177
MCG.jl
@ -1,22 +1,4 @@
|
|||||||
using ArgParse
|
using ArgParse
|
||||||
using JLD
|
|
||||||
|
|
||||||
using Nemo
|
|
||||||
import SCS.SCSSolver
|
|
||||||
using PropertyT
|
|
||||||
|
|
||||||
using Groups
|
|
||||||
|
|
||||||
function cpuinfo_physicalcores()
|
|
||||||
maxcore = -1
|
|
||||||
for line in eachline("/proc/cpuinfo")
|
|
||||||
if startswith(line, "core id")
|
|
||||||
maxcore = max(maxcore, parse(Int, split(line, ':')[2]))
|
|
||||||
end
|
|
||||||
end
|
|
||||||
maxcore < 0 && error("failure to read core ids from /proc/cpuinfo")
|
|
||||||
return maxcore + 1
|
|
||||||
end
|
|
||||||
|
|
||||||
function parse_commandline()
|
function parse_commandline()
|
||||||
args = ArgParseSettings()
|
args = ArgParseSettings()
|
||||||
@ -53,58 +35,153 @@ function parse_commandline()
|
|||||||
|
|
||||||
return parse_args(args)
|
return parse_args(args)
|
||||||
end
|
end
|
||||||
|
const PARSEDARGS = parse_commandline()
|
||||||
|
|
||||||
|
include("CPUselect.jl")
|
||||||
|
# set_parallel_mthread(PARSEDARGS, workers=true)
|
||||||
|
|
||||||
include("FPGroups_GAP.jl")
|
include("FPGroups_GAP.jl")
|
||||||
include("CPUselect.jl")
|
|
||||||
|
|
||||||
function main()
|
module MCGrps
|
||||||
|
|
||||||
parsed_args = parse_commandline()
|
using Groups
|
||||||
set_parallel_mthread(parsed_args)
|
using Nemo
|
||||||
|
|
||||||
|
Comm(x,y) = x*y*x^-1*y^-1
|
||||||
|
|
||||||
|
function Group(N::Int)
|
||||||
|
if N == 2
|
||||||
|
MCGroup = Groups.FPGroup(["a1","a2","a3","a4","a5"]);
|
||||||
|
S = Nemo.gens(MCGroup)
|
||||||
|
|
||||||
|
N = length(S)
|
||||||
|
A = prod(reverse(S))*prod(S)
|
||||||
|
|
||||||
|
relations = [
|
||||||
|
[Comm(S[i], S[j]) for i in 1:N for j in 1:N if abs(i-j) > 1]...,
|
||||||
|
[S[i]*S[i+1]*S[i]*inv(S[i+1]*S[i]*S[i+1]) for i in 1:N-1]...,
|
||||||
|
(S[1]*S[2]*S[3])^4*inv(S[5])^2,
|
||||||
|
Comm(A, S[1]),
|
||||||
|
A^2
|
||||||
|
]
|
||||||
|
|
||||||
|
relations = [relations; [inv(rel) for rel in relations]]
|
||||||
|
Groups.add_rels!(MCGroup, Dict(rel => MCGroup() for rel in relations))
|
||||||
|
return MCGroup
|
||||||
|
|
||||||
|
elseif N < 2
|
||||||
|
throw("Genus must be at least 2!")
|
||||||
|
end
|
||||||
|
|
||||||
|
MCGroup = Groups.FPGroup(["a$i" for i in 0:2N])
|
||||||
|
S = Nemo.gens(MCGroup)
|
||||||
|
|
||||||
|
a0 = S[1]
|
||||||
|
A = S[2:end]
|
||||||
|
k = length(A)
|
||||||
|
|
||||||
|
relations = [
|
||||||
|
[Comm(A[i], A[j]) for i in 1:k for j in 1:k if abs(i-j) > 1]...,
|
||||||
|
[Comm(a0, A[i]) for i in 1:k if i != 4]...,
|
||||||
|
[A[i]*A[(i+1)]*A[i]*inv(A[i+1]*A[i]*A[i+1]) for i in 1:k-1]...,
|
||||||
|
A[4]*a0*A[4]*inv(a0*A[4]*a0)
|
||||||
|
]
|
||||||
|
|
||||||
|
# 3-chain relation
|
||||||
|
c = prod(reverse(A[1:4]))*prod(A[1:4])
|
||||||
|
b0 = c*a0*inv(c)
|
||||||
|
push!(relations, (A[1]*A[2]*A[3])^4*inv(a0*b0))
|
||||||
|
|
||||||
|
# Lantern relation
|
||||||
|
b1 = inv(A[4]*A[5]*A[3]*A[4])*a0*(A[4]*A[5]*A[3]*A[4])
|
||||||
|
b2 = inv(A[2]*A[3]*A[1]*A[2])*b1*(A[2]*A[3]*A[1]*A[2])
|
||||||
|
u = inv(A[6]*A[5])*b1*(A[6]*A[5])
|
||||||
|
x = prod(reverse(A[2:6]))*u*prod(inv.(A[1:4]))
|
||||||
|
b3 = x*a0*inv(x)
|
||||||
|
push!(relations, a0*b2*b1*inv(A[1]*A[3]*A[5]*b3))
|
||||||
|
|
||||||
|
# Hyperelliptic relation
|
||||||
|
X = prod(reverse(A))*prod(A)
|
||||||
|
|
||||||
|
function n(i::Int, b=b0)
|
||||||
|
if i == 1
|
||||||
|
return A[1]
|
||||||
|
elseif i == 2
|
||||||
|
return b
|
||||||
|
else
|
||||||
|
return w(i-2)*n(i-2)*w(i-2)
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
function w(i::Int)
|
||||||
|
(A[2i+4]*A[2i+3]*A[2i+2]* n(i+1))*(A[2i+1]*A[2i] *A[2i+2]*A[2i+1])*
|
||||||
|
(A[2i+3]*A[2i+2]*A[2i+4]*A[2i+3])*( n(i+1)*A[2i+2]*A[2i+1]*A[2i] )
|
||||||
|
end
|
||||||
|
|
||||||
|
push!(relations, X*n(N)*inv(n(N)*X))
|
||||||
|
|
||||||
|
relations = [relations; [inv(rel) for rel in relations]]
|
||||||
|
Groups.add_rels!(MCGroup, Dict(rel => MCGroup() for rel in relations))
|
||||||
|
@show MCGroup
|
||||||
|
return MCGroup
|
||||||
|
end
|
||||||
|
|
||||||
|
###############################################################################
|
||||||
|
#
|
||||||
|
# Misc
|
||||||
|
#
|
||||||
|
###############################################################################
|
||||||
|
|
||||||
|
function groupname(parsed_args)
|
||||||
|
N = parsed_args["N"]
|
||||||
|
return groupname(N), N
|
||||||
|
end
|
||||||
|
|
||||||
|
groupname(N::Int) = "MCG$(N)"
|
||||||
|
|
||||||
|
end #of module MCGrps
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
using SCS.SCSSolver
|
||||||
|
using PropertyT
|
||||||
|
|
||||||
|
function main(GROUP, parsed_args)
|
||||||
|
|
||||||
|
radius = parsed_args["radius"]
|
||||||
tol = parsed_args["tol"]
|
tol = parsed_args["tol"]
|
||||||
iterations = parsed_args["iterations"]
|
iterations = parsed_args["iterations"]
|
||||||
upper_bound = parsed_args["upper-bound"]
|
upper_bound = parsed_args["upper-bound"]
|
||||||
radius = parsed_args["radius"]
|
warm = parsed_args["warmstart"]
|
||||||
N = parsed_args["N"]
|
|
||||||
|
|
||||||
prefix = "MCG($N)"
|
|
||||||
name = "$(prefix)"
|
|
||||||
|
|
||||||
|
name, N = GROUP.groupname(parsed_args)
|
||||||
isdir(name) || mkdir(name)
|
isdir(name) || mkdir(name)
|
||||||
|
|
||||||
prepare_pm_delta(prefix, name, radius)
|
G = GROUP.Group(N)
|
||||||
|
S = Nemo.gens(G)
|
||||||
|
relations = [k*inv(v) for (k,v) in G.rels]
|
||||||
|
prepare_pm_delta(name, GAP_groupcode(S, relations), radius)
|
||||||
|
|
||||||
logger = PropertyT.setup_logging(name)
|
S = unique([S; [inv(s) for s in S]])
|
||||||
|
|
||||||
|
Id = G()
|
||||||
|
|
||||||
|
logger = PropertyT.setup_logging(joinpath(name, "$(upper_bound)"))
|
||||||
|
|
||||||
info(logger, "Group: $name")
|
info(logger, "Group: $name")
|
||||||
info(logger, "Iterations: $iterations")
|
info(logger, "Iterations: $iterations")
|
||||||
info(logger, "Precision: $tol")
|
info(logger, "Precision: $tol")
|
||||||
info(logger, "Upper bound: $upper_bound")
|
info(logger, "Upper bound: $upper_bound")
|
||||||
|
info(logger, "Radius: $radius")
|
||||||
MCGroup = Groups.FPGroup(["a1","a2","a3","a4", "a5"]);
|
info(logger, G)
|
||||||
S = Nemo.gens(MCGroup)
|
info(logger, "Symmetric generating set of size $(length(S))")
|
||||||
Comm(x,y) = x*y*x^-1*y^-1
|
info(logger, "Threads: $(Threads.nthreads())")
|
||||||
k = length(S)
|
info(logger, "Workers: $(workers())")
|
||||||
|
|
||||||
relations = [[Comm(S[i], S[j]) for i in 1:k for j in 1:k if abs(i-j) > 1]...,
|
|
||||||
[S[i]*S[i+1]*S[i]*inv(S[i+1]*S[i]*S[i+1]) for i in 1:k-1]...,
|
|
||||||
(S[1]*S[2]*S[3])^4*inv(S[5])^5,
|
|
||||||
Comm(prod(reverse(S))*prod(S), S[1]),
|
|
||||||
(prod(reverse(S))*prod(S))^2
|
|
||||||
];
|
|
||||||
|
|
||||||
relations = [relations; [inv(rel) for rel in relations]]
|
|
||||||
Groups.add_rels!(MCGroup, Dict(rel => MCGroup() for rel in relations))
|
|
||||||
|
|
||||||
S = gens(MCGroup)
|
|
||||||
S = unique([S; [inv(s) for s in S]])
|
|
||||||
Id = MCGroup()
|
|
||||||
|
|
||||||
solver = SCSSolver(eps=tol, max_iters=iterations, linearsolver=SCS.Direct, alpha=1.9, acceleration_lookback=1)
|
solver = SCSSolver(eps=tol, max_iters=iterations, linearsolver=SCS.Direct, alpha=1.9, acceleration_lookback=1)
|
||||||
|
|
||||||
@time PropertyT.check_property_T(name, S, Id, solver, upper_bound, tol, radius)
|
PropertyT.check_property_T(name, S, Id, solver, upper_bound, tol, radius)
|
||||||
return 0
|
return 0
|
||||||
end
|
end
|
||||||
|
|
||||||
main()
|
main(MCGrps, PARSEDARGS)
|
||||||
|
|||||||
Loading…
Reference in New Issue
Block a user