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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346###############################################################################
##
#F GAPInput.gi The SymbCompCC package D�rte Feichtenschlager
##
###############################################################################
##
#M GAPInputPPPPcpGroups( file, grp_pres )
##
## Input: a string file and p-power-poly-pcp-groups grp_pres
##
## Output: the function writes the p-power-poly pcp-groups presentations
## grp_pres to a file that is readable for GAP
##
InstallMethod( GAPInputPPPPcpGroups,[IsString,IsPPPPcpGroups],0,
function( file, grp_pres )
local p, i, j, k, rel, cc, expo, expo_vec, One1, Zero0;
## Initialize
p := grp_pres!.prime;
rel := grp_pres!.rel;
expo := grp_pres!.expo;
expo_vec := grp_pres!.expo_vec;
cc := grp_pres!.cc;
One1 := Int2PPowerPoly( p, 1 );
Zero0 := Int2PPowerPoly( p, 0 );
## Print One1 and Zero0 to file
PrintTo( file, "One1 := Int2PPowerPoly( ", p, ", 1 );\n" );
AppendTo( file, "Zero0 := Int2PPowerPoly( ", p, ", 0 );\n\n" );
## start with appending presentations to file
AppendTo( file, grp_pres!.name, " := rec( \n" );
## rel
AppendTo( file, "rel := [ " );
for i in [1..Length( rel )] do
AppendTo( file, "[ " );
for j in [1..Length( rel[i] )] do
AppendTo( file, "[ " );
for k in [1..Length( rel[i][j] )] do
AppendTo( file, "[ ", rel[i][j][k][1], ", " );
if IsInt( rel[i][j][k][2] ) then
AppendTo( file, rel[i][j][k][2] );
elif PPP_Equal( rel[i][j][k][2], One1 ) then
AppendTo( file, "One1" );
elif PPP_Equal( rel[i][j][k][2], Zero0 ) then
AppendTo( file, "Zero0" );
else AppendTo( file, "[ ", p, ", " );
AppendTo( file, rel[i][j][k][2][2], "]" );
fi;
AppendTo( file, " ]" );
if k < Length( rel[i][j] ) then
AppendTo( file, ", " );
fi;
od;
AppendTo( file, " ]" );
if j < Length( rel[i] ) then
AppendTo( file, ", " );
fi;
od;
AppendTo( file, " ]" );
if i < Length( rel ) then
AppendTo( file, ", " );
fi;
od;
AppendTo( file, " ], \n" );
## expo
AppendTo( file, "expo := [ ", p, ", " );
AppendTo( file, expo[2], " ], \n" );
## n
AppendTo( file, "n := ", grp_pres!.n, ",\n" );
## d
AppendTo( file, "d := ", grp_pres!.d, ",\n" );
## m
AppendTo( file, "m := ", grp_pres!.m, ",\n" );
## prime
AppendTo( file, "prime := ", p, ",\n" );
## coclass
AppendTo( file, "cc := ", cc, ",\n" );
## expo_vec
AppendTo( file, "expo_vec := [" );
for i in [1..grp_pres!.m] do
if PPP_Equal( expo_vec[i], One1 ) then
AppendTo( file, "One1" );
else AppendTo( file, "[ ", p, ", " );
AppendTo( file, expo_vec[i][2], " ]" );
fi;
if i <> grp_pres!.m then
AppendTo( file, ", " );
fi;
od;
AppendTo( file, " ], \n" );
## name
AppendTo( file, "name := \"", grp_pres!.name, "\"\n);\n" );
end);
###############################################################################
##
#M GAPInputPPPPcpGroups( file, record )
##
## Input: a string file and p-power-poly-pcp-groups presented by the record
## record
##
## Output: the function writes the p-power-poly pcp-groups presentations
## grp_pres to a file that is readable for GAP
##
InstallMethod( GAPInputPPPPcpGroups, true, [ IsString, IsRecord ], 0,
function( file, record )
local G;
G := PPPPcpGroupsNC( record );
GAPInputPPPPcpGroups( file, G );
end);
###############################################################################
##
#M GAPInputPPPPcpGroupsAppend( grp_pres )
##
## Input: a string file and p-power-poly-pcp-groups grp_pres
##
## Output: the function appends the p-power-poly pcp-groups presentations
## grp_pres to a file that is readable for GAP
##
InstallMethod(GAPInputPPPPcpGroupsAppend,[IsString,IsPPPPcpGroups], 0,
function( file, grp_pres )
local p, i, j, k, rel, cc, expo, expo_vec, One1, Zero0;
## Initialize
p := grp_pres!.prime;
rel := grp_pres!.rel;
expo := grp_pres!.expo;
expo_vec := grp_pres!.expo_vec;
cc := grp_pres!.cc;
One1 := Int2PPowerPoly( p, 1 );
Zero0 := Int2PPowerPoly( p, 0 );
## Print One1 and Zero0 to file
AppendTo( file, "One1 := Int2PPowerPoly( ", p, ", 1 );\n" );
AppendTo( file, "Zero0 := Int2PPowerPoly( ", p, ", 0 );\n\n" );
## start with appending presentations to file
AppendTo( file, grp_pres!.name, " := rec( \n" );
## rel
AppendTo( file, "rel := [ " );
for i in [1..Length( rel )] do
AppendTo( file, "[ " );
for j in [1..Length( rel[i] )] do
AppendTo( file, "[ " );
for k in [1..Length( rel[i][j] )] do
AppendTo( file, "[ ", rel[i][j][k][1], ", " );
if IsInt( rel[i][j][k][2] ) then
AppendTo( file, rel[i][j][k][2] );
elif PPP_Equal( rel[i][j][k][2], One1 ) then
AppendTo( file, "One1" );
elif PPP_Equal( rel[i][j][k][2], Zero0 ) then
AppendTo( file, "Zero0" );
else AppendTo( file, "[ ", p, ", " );
AppendTo( file, rel[i][j][k][2][2], " ]" );
fi;
AppendTo( file, " ]" );
if k < Length( rel[i][j] ) then
AppendTo( file, ", " );
fi;
od;
AppendTo( file, " ]" );
if j < Length( rel[i] ) then
AppendTo( file, ", " );
fi;
od;
AppendTo( file, " ]" );
if i < Length( rel ) then
AppendTo( file, ", " );
fi;
od;
AppendTo( file, " ], \n" );
## expo
AppendTo( file, "expo := PPowerPoly( ", p, ", " );
AppendTo( file, expo!.coeffs, " ), \n" );
## n
AppendTo( file, "n := ", grp_pres!.n, ",\n" );
## d
AppendTo( file, "d := ", grp_pres!.d, ",\n" );
## m
AppendTo( file, "m := ", grp_pres!.m, ",\n" );
## prime
AppendTo( file, "prime := ", p, ",\n" );
## coclass
AppendTo( file, "cc := ", cc, ",\n" );
## expo_vec
AppendTo( file, "expo_vec := [" );
for i in [1..grp_pres!.m] do
if PPP_Equal( expo_vec[i], One1 ) then
AppendTo( file, "One1" );
else AppendTo( file, "[ ", p, ", " );
AppendTo( file, expo_vec[i][2], " ]" );
fi;
if i <> grp_pres!.m then
AppendTo( file, ", " );
fi;
od;
AppendTo( file, " ], \n" );
## name
AppendTo( file, "name := \"", grp_pres!.name, "\"\n);\n" );
end);
###############################################################################
##
#M GAPInputPPPPcpGroupsAppend( file, record )
##
## Input: a string file and p-power-poly-pcp-groups presented by the record
## record
##
## Output: the function appends the p-power-poly pcp-groups presentations
## grp_pres to a file that is readable for GAP
##
InstallMethod( GAPInputPPPPcpGroupsAppend,[IsString,IsRecord], 0,
function( file, record )
local G;
G := PPPPcpGroupsNC( record );
GAPInputPPPPcpGroupsAppend( file, G );
end);
#E GAPInput.gi . . . . . . . . . . . . . . . . . . . . . . . . . . ends here