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add specific code for MetricBalls generation with generators

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kalmarek 2020-01-19 17:28:36 +01:00
parent c3d8a8f49b
commit ba58bd60c8
1 changed files with 47 additions and 10 deletions
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57
src/FPGroups_GAP.jl
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@ -8,15 +8,33 @@ struct AutomaticStructure <: WordReduction end
const GAP_EXECUTABLE = get(ENV, "GAP_EXECUTABLE", "gap") const GAP_EXECUTABLE = get(ENV, "GAP_EXECUTABLE", "gap")
const PRODUCT_MATRIX_FUNCTIONS = """ const PRODUCT_MATRIX_FUNCTIONS = """
MetricBalls := function(rws, halfradius) MetricBalls := function(rws, radius)
local l, basis, sizes, i; local l, basis, sizes, i;
l := EnumerateReducedWords(rws, 0, halfradius);; l := EnumerateReducedWords(rws, 0, radius);;
SortBy(l, Length); SortBy(l, Length);
sizes := [1..halfradius]; sizes := [1..radius];
Apply(sizes, i -> Number(l, w -> Length(w) <= i)); Apply(sizes, i -> Number(l, w -> Length(w) <= i));
return [l, sizes]; return [l, sizes];
end;; end;;
MetricBalls := function(rws, gens, radius)
local elts, sgens, sizes, r, RwsReducedProduct;
RwsReducedProduct := function(x, y) return ReducedForm(rws, x*y); end;
elts := Union([Identity(gens[1])], gens);
sgens := elts;
sizes := [1, Length(elts)];
for r in [2..radius] do;
elts := SetX(elts, sgens, RwsReducedProduct);
Add(sizes, Length(elts));
if sizes[Length(sizes)] = sizes[Length(sizes)-1] then
break;
fi;
od;
return [elts, sizes{[2..Length(sizes)]}];
end;;
ProductMatrix := function(rws, basis, len) ProductMatrix := function(rws, basis, len)
local result, dict, g, tmpList, t; local result, dict, g, tmpList, t;
result := []; result := [];
@ -79,21 +97,40 @@ after := Runtimes();;
delta := after.user_time_children - before.user_time_children;; delta := after.user_time_children - before.user_time_children;;
Print("$reduction time: \t", StringTime(delta), "\\n"); Print("$reduction time: \t", StringTime(delta), "\\n");
t := Runtime(); t := Runtime();;
res := MetricBalls(rws,$(2halfradius));;
A := MetricBalls(rws, [a,b,a^-1,b^-1], 10);;
B := MetricBalls(rws, [b,c,b^-1,c^-1], 10);;
C := MetricBalls(rws, [c,a,c^-1,a^-1], 10);;
S := Union(A[1], B[1], C[1]);;
S := Difference(S, [Identity(F)]);;
Print("Sizes of generated subgroups: \\n", [A[2], B[2], C[2]], "\\n");
res := MetricBalls(rws, S, $(2halfradius));;
Print("Metric-Balls generation: \t", StringTime(Runtime()-t), "\\n"); Print("Metric-Balls generation: \t", StringTime(Runtime()-t), "\\n");
B := res[1];; sizes := res[2];; B := res[1];;
sizes := res[2];;
Print("Sizes of generated Balls: \t", sizes, "\\n"); Print("Sizes of generated Balls: \t", sizes, "\\n");
t := Runtime(); SortBy(B,
function(x)
if x = Identity(F) then;
return 0;
elif x in S then;
return Position(S,x);
fi;
return Length(S)+Length(x);
end);;
t := Runtime();;
pm := ProductMatrix(rws, B, sizes[$halfradius]);; pm := ProductMatrix(rws, B, sizes[$halfradius]);;
Print("Computing ProductMatrix: \t", StringTime(Runtime()-t), "\\n"); Print("Computing ProductMatrix: \t", StringTime(Runtime()-t), "\\n");
S := EnumerateReducedWords(rws, 1, 1); # S := EnumerateReducedWords(rws, 1, 1);
S := List(S, s -> Position(B,s)); S_positions := List(S, s -> Position(B,s));
SaveCSV("$(dir)/pm.csv", pm); SaveCSV("$(dir)/pm.csv", pm);
SaveCSV("$(dir)/S.csv", [S]); SaveCSV("$(dir)/S.csv", [S_positions]);
SaveCSV("$(dir)/sizes.csv", [sizes]); SaveCSV("$(dir)/sizes.csv", [sizes]);
SaveCSV("$(dir)/B_$(2halfradius).csv", [B]); SaveCSV("$(dir)/B_$(2halfradius).csv", [B]);