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#############################################################################
##
## This file is part of GAP, a system for computational discrete algebra.
## This file's authors include Andrew Solomon.
##
## Copyright of GAP belongs to its developers, whose names are too numerous
## to list here. Please refer to the COPYRIGHT file for details.
##
## SPDX-License-Identifier: GPL-2.0-or-later
##
## Declarations of utilities for fast prototyping of new GAP objects.
##
##########################################################################
##
#F ArithmeticElementCreator(<spec>)
##
InstallGlobalFunction(ArithmeticElementCreator,
function(spec)
local
makeelt, # the function returned
inst_str,
inst_str_bin, # method installation strings
repfilters, # filters for representation
mathfilters, # filters for categories and properties
cat, rep, # the category and representation of the new elts
allfilters, # category and representation
eFam, eType; # the element family and element type
# first check to see this hasn't already been done
if not REREADING and IsBoundGlobal(Concatenation("Is",spec.ElementName)) then
Error(Concatenation(spec.ElementName," already defined"));
fi;
# What mathematical filters can we deduce?
mathfilters := IsObject;
if IsBound(spec.Multiplication) then
mathfilters := mathfilters and IsMultiplicativeElement;
fi;
if IsBound(spec.One) then
mathfilters := mathfilters and IsMultiplicativeElementWithOne;
fi;
if IsBound(spec.Inverse) then
mathfilters := mathfilters and IsMultiplicativeElementWithInverse;
fi;
if IsBound(spec.Addition) then
mathfilters := mathfilters and IsNearAdditiveElement;
fi;
if IsBound(spec.Zero) then
mathfilters := mathfilters and IsNearAdditiveElementWithZero;
fi;
if IsBound(spec.AdditiveInverse) then
mathfilters := mathfilters and IsNearAdditiveElementWithInverse;
fi;
# what mathematical filters are explicitly asserted?
if IsBound(spec.MathInfo) then
mathfilters := mathfilters and spec.MathInfo;
fi;
# declare the elements category and collections category
cat := NewCategory(Concatenation("Is",spec.ElementName), mathfilters);
BindGlobal(Concatenation("Is",spec.ElementName), cat);
DeclareCategoryCollections(Concatenation("Is",spec.ElementName));
# See what representation specific filters we have.
repfilters := IsComponentObjectRep;
if IsBound(spec.RepInfo) then
repfilters := repfilters and spec.RepInfo;
fi;
# declare the representastion with the single "data" component
rep := NewRepresentation(Concatenation(spec.ElementName,"Rep"),
repfilters, ["data"]);
BindGlobal(Concatenation(spec.ElementName,"Rep"), rep);
allfilters := cat and rep;
# create the family
eFam := NewFamily(Concatenation("Element family of ", spec.ElementName),
cat);
# create the type
eType := NewType(eFam, allfilters);
# the creation function
makeelt := x->Objectify(eType, rec(data := x));
##
## Install the methods
##
inst_str := Concatenation("for ", spec.ElementName);
inst_str_bin := Concatenation("for ",spec.ElementName,
" and ",spec.ElementName);
if IsBound(spec.Multiplication) then
InstallOtherMethod(\*, inst_str_bin, IsIdenticalObj,
[allfilters, allfilters], 0,
function(x, y) return makeelt(spec.Multiplication(x!.data, y!.data)); end);
fi;
if IsBound(spec.One) then
InstallOtherMethod(OneOp, inst_str, true, [allfilters], 0,
function(x) return makeelt(spec.One(x!.data)); end);
fi;
if IsBound(spec.Inverse) then
InstallOtherMethod(InverseOp, inst_str, true, [allfilters], 0,
function(x) return makeelt(spec.Inverse(x!.data)); end);
fi;
if IsBound(spec.Addition) then
InstallOtherMethod(\+, inst_str_bin, IsIdenticalObj,
[allfilters, allfilters], 0,
function(x,y) return makeelt(spec.Addition(x!.data, y!.data)); end);
fi;
if IsBound(spec.Zero) then
InstallOtherMethod(ZeroOp, inst_str, true, [allfilters], 0,
function(x) return makeelt(spec.Zero(x!.data)); end);
fi;
if IsBound(spec.AdditiveInverse) then
InstallOtherMethod(AdditiveInverseOp, inst_str,true, [allfilters], 0,
function(x) return makeelt(spec.AdditiveInverse(x!.data)); end);
fi;
if IsBound(spec.Equality) then
InstallOtherMethod(\=, inst_str_bin, IsIdenticalObj,
[allfilters, allfilters], 0,
function(x,y) return spec!.Equality(x!.data, y!.data); end);
else
InstallOtherMethod(\=, inst_str_bin, IsIdenticalObj,
[allfilters, allfilters], 0,
function(x,y) return x!.data = y!.data; end);
fi;
if IsBound(spec.LessThan) then
InstallOtherMethod(\<, inst_str_bin, IsIdenticalObj,
[allfilters, allfilters], 0,
function(x,y) return spec!.LessThan(x!.data, y!.data); end);
else
InstallOtherMethod(\<, inst_str_bin, IsIdenticalObj,
[allfilters, allfilters], 0,
function(x,y) return x!.data < y!.data; end);
fi;
if IsBound(spec.Print) then
InstallOtherMethod(PrintObj, inst_str,true, [allfilters], 0,
function(x) spec.Print(x!.data); end);
else
InstallOtherMethod(PrintObj, inst_str,true, [allfilters], 0,
function(x) Print(x!.data); end);
fi;
InstallOtherMethod(UnderlyingElement, inst_str, true,
[allfilters], 0,
function(x) return x!.data; end);
return makeelt;
end);
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