The use of the packages <C>NormalizInterface</C> <Cite Key="NmzInterface"></Cite> (an interface to <C>Normalize</C> <Cite Key="Normaliz"></Cite>; or in its absence <C>4ti2Interface</C><Cite Key="4ti2Interface"></Cite>, an interface to <C>4ti2</C><Cite Key="4ti2"></Cite>), <C>SingularInterface</C> (an interface to <C>Singular</C> <Cite Key="Singular"></Cite>; or in its absence <C>Singular</C> <Cite Key="Singularpackage"></Cite>)<!--; or in its absence <C>GradedModules</C> <Cite Key="GradedModules"></Cite>--> is highly recommended for many of the functions presented in this chapter. However, whenever possible a method not depending on these packages is also provided (though slower).
The package tests if the user has downloaded any of the above packages, and if so puts <C>NumSgpsCanUsePackage</C> to true, where <C>Package</C> is any of the above.
<Section>
<Heading>
Using external packages
</Heading>
As mentioned above some methods are specifically implemented to take advantage of several external packages. The following functions can be used in case these packages have not been loaded prior to <C>numericalsgps</C>.
<ManSection>
<Func Name="NumSgpsUse4ti2" Arg=""/>
<Description>
Tries to load the package <C>4ti2Interface</C>. If the package is available, then it also loads methods implemented using functions in this package.
</Description>
</ManSection>
<ManSection>
<Func Name="NumSgpsUse4ti2gap" Arg=""/>
<Description>
Tries to load the package <C>4ti2gap</C>. If the package is available, then it also loads methods implemented using functions in this package.
</Description>
</ManSection>
<ManSection>
<Func Name="NumSgpsUseNormalize" Arg=""/>
<Description>
Tries to load the package <C>NormalizInterface</C>. If the package is available, then it also loads methods implemented using functions in this package.
</Description>
</ManSection>
<ManSection>
<Func Name="NumSgpsUseSingular" Arg=""/>
<Description>
Tries to load the package <C>singular</C>. If the package is available, then it also loads methods implemented using functions in this package.
<P/> To prevent incompatibilities, the package will not load if <C>SingularInterface</C> has been already loaded.
</Description>
</ManSection>
<ManSection>
<Func Name="NumSgpsUseSingularInterface" Arg=""/>
<Description>
Tries to load the package <C>SingularInterface</C>. If the package is available, then it also loads methods implemented using functions in this package.
<P/> To prevent incompatibilities, the package will not load if <C>singular</C> has been already loaded.
</Description>
</ManSection>
<!-- <ManSection> <Func Name="NumSgpsUseSingularGradedModules" Arg=""/> <Description> Tries to load the package <C>GradedModules</C>. If the package is available, then it also loads methods implemented using functions in this package. <P/> It also creates a ring of rationals <C>NumSgpsRationals</C>. </Description> </ManSection>
-->
</Section>
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