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gap> START_TEST("random.tst");
gap> ReadGapRoot( "tst/testrandom.g" );
# Test RandomList
gap> randomTest([1,2,3], RandomList);
gap> randomTest([1..100], RandomList);
gap> randomTest("abcdef", RandomList);
gap> randomTest(BlistList([1..100],[1,3..99]), RandomList);
gap> randomTest([1], RandomList);
#
# fields and rings
#
# cyclotomics
gap> randomTest(Integers, Random);
gap> randomTest(Rationals, Random);
gap> randomTest(GaussianIntegers, Random);
gap> randomTest(GaussianRationals, Random);
# finite fields
gap> randomTest(GF(2), Random);
gap> randomTest(GF(3), Random);
gap> randomTest(GF(4), Random);
gap> randomTest(GF(257), Random);
gap> randomTest(GF(65537), Random);
gap> randomTest(GF(257^2), Random);
gap> randomTest(GF(2^20), Random);
# ZmodnZ
gap> randomTest(Integers mod 1, Random);
gap> randomTest(Integers mod 4, Random);
gap> randomTest(Integers mod 100, Random);
# ZmodnZe
gap> randomTest(RingInt(CF(4)) mod 5, Random);
#
# magmas, monoids, ...
#
#
gap> randomTest(FreeMagma(1), Random);
gap> randomTest(FreeMagma(2), Random);
#
gap> randomTest(FreeMonoid(0), Random);
gap> randomTest(FreeMonoid(1), Random);
gap> randomTest(FreeMonoid(2), Random);
#
# permutation groups
#
gap> randomTest(TrivialGroup(IsPermGroup), Random);
#
gap> randomTest(SymmetricGroup(2), Random);
gap> randomTest(SymmetricGroup(3), Random);
gap> randomTest(SymmetricGroup(4), Random);
gap> randomTest(AlternatingGroup(3), Random);
gap> randomTest(AlternatingGroup(4), Random);
gap> randomTest(AlternatingGroup(5), Random);
#
gap> randomTest(Group((1,2),(3,4)), Random);
gap> randomTest(PrimitiveGroup(5,2), Random);
gap> randomTest(PrimitiveGroup(5,3), Random);
gap> randomTest(Group((1,2),(3,4))*(1,2,3), Random);
gap> randomTest(PrimitiveGroup(5,2)*(1,2,6), Random);
gap> randomTest(PrimitiveGroup(5,3)*(1,4,6), Random);
#
# pc groups
#
gap> randomTest(TrivialGroup(IsPcGroup), Random);
gap> randomTest(AbelianGroup(IsPcGroup, [2]), Random);
gap> randomTest(AbelianGroup(IsPcGroup, [2,3,4,5]), Random);
#
# fp groups
#
gap> randomTest(TrivialGroup(IsFpGroup), Random);
gap> randomTest(FreeGroup(0), Random);
gap> randomTest(FreeGroup(1), Random);
gap> randomTest(FreeGroup(2), Random);
gap> randomTest(FreeGroup(infinity), Random);
gap> randomTest(DihedralGroup(IsFpGroup, 6), Random);
#
# matrix groups
#
gap> randomTest(CyclicGroup(IsMatrixGroup, GF(2), 1), Random);
gap> randomTest(CyclicGroup(IsMatrixGroup, GF(9), 1), Random);
gap> randomTest(CyclicGroup(IsMatrixGroup, Rationals, 1), Random);
#
gap> randomTest(CyclicGroup(IsMatrixGroup, GF(2), 3), Random);
gap> randomTest(CyclicGroup(IsMatrixGroup, GF(3), 3), Random);
#
gap> randomTest(SL(2,2), Random);
gap> randomTest(SL(3,3), Random);
#
gap> randomTest(GL(2,2), Random);
gap> randomTest(GL(3,3), Random);
#
# additive cosets
#
gap> randomTest(AdditiveCoset(ZmodnZ(1),Identity(ZmodnZ(1))),Random);
gap> randomTest(AdditiveCoset(Integers,2),Random);
gap> randomTest(AdditiveCoset(CF(5),-2/3*E(5)-1/2*E(5)^2+1/3*E(5)^4),Random);
gap> randomTest(AdditiveCoset(GF(17),Z(17)^9),Random);
gap> R := SmallRing(10,2);;
gap> randomTest(AdditiveCoset(R,5*R.1),Random);
gap> a:= Algebra( GF(2), [ [ [ Z(2) ] ] ] );;
gap> rm:= FreeMagmaRing( GF(2), a );;
gap> randomTest(AdditiveCoset(rm, rm.1), Random);
#
# external orbits
#
gap> g:=DihedralGroup(8);; orbs:=ExternalOrbits(g,AsList(g));;
gap> for orb in orbs do
> randomTest(orb,Random);
> od;
#
gap> g:=SymmetricGroup(4);;
gap> orbs:=ExternalOrbits(g,[1..4]);;
gap> for orb in orbs do
> randomTest(orb,Random);
> od;
#
# other stuff
#
#
gap> randomTest(DoubleCoset(Group((1,2),(3,4)), (1,2,3,4,5,6), Group((1,2,3)) ), Random);
gap> randomTest(DoubleCoset(Group(()), (1,2), Group((1,2,3)) ), Random);
gap> randomTest(DoubleCoset(Group((1,2),(3,4)), (), Group((1,2,3)) ), Random);
#
gap> randomTest([1], Random);
gap> randomTest([1..10], Random);
gap> randomTest([1..2], Random);
gap> randomTest([0, 10..1000], Random);
gap> randomTest("cheese", Random);
gap> randomTest([1,-6,"cheese", Group(())], Random);
#
gap> randomTest(PadicExtensionNumberFamily(3, 5, [1,1,1], [1,1]), Random, function(x,y) return IsPadicExtensionNumber(x); end);
gap> randomTest(PurePadicNumberFamily(2,20), Random, function(x,y) return IsPurePadicNumber(x); end);
# Test initialising random number generator
# We take a string and 0-pad it to 4 bytes
gap> getOneInt := function(str)
> Init(GlobalMersenneTwister, str);
> return Random([1..100000]);
> end;;
gap> getOneInt("") = getOneInt("\000");
true
gap> getOneInt("a") = getOneInt("b");
false
gap> getOneInt("") = getOneInt("\000\000\000\000");
true
gap> getOneInt("a") = getOneInt("a\000");
true
gap> getOneInt("a") = getOneInt("a\000\000\000");
true
gap> getOneInt("a") = getOneInt("a\000\000\000\000");
false
gap> getOneInt("a") = getOneInt("a\000\000\000a\000\000\000");
false
gap> getOneInt("a\000\000\000a\000\000\000") = getOneInt("a\000\000\000a");
true
gap> getOneInt("a") = getOneInt("a\000\000\000b");
false
#
gap> STOP_TEST("random.tst", 1);
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