mirror of https://github.com/CGAL/cgal
67 lines
1.9 KiB
TeX
67 lines
1.9 KiB
TeX
\begin{ccRefConcept}{IntegralDomain}
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\ccDefinition
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\ccc{IntegralDomain} refines \ccc{IntegralDomainWithoutDivision} by
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providing an integral division.\\
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{\bf Note:} The concept does not require the operator / for this operation.
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We intend to reserve the operator syntax for use with a \ccc{Field}.
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%Nevertheless, some non-field models of IntegralDomain have one.
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Moreover, \ccc{CGAL::Algebraic_structure_traits< IntegralDomain >} is a model of
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\ccc{AlgebraicStructureTraits} providing:\\
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- \ccc{CGAL::Algebraic_structure_traits< IntegralDomain >::Algebraic_type} derived from \ccc{Integral_domain_tag} \\
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- \ccc{CGAL::Algebraic_structure_traits< IntegralDomain >::Integral_division} a model of \ccc{AlgebraicStructureTraits::IntegralDivision}\\
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- \ccc{CGAL::Algebraic_structure_traits< IntegralDomain >::Divides} a model of \ccc{AlgebraicStructureTraits::Divides}\\
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\ccRefines
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\ccc{IntegralDomainWithoutDivision}
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\ccSeeAlso
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\ccRefIdfierPage{IntegralDomainWithoutDivision}\\
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\ccRefIdfierPage{IntegralDomain}\\
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\ccRefIdfierPage{UniqueFactorizationDomain}\\
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\ccRefIdfierPage{EuclideanRing}\\
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\ccRefIdfierPage{Field}\\
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\ccRefIdfierPage{FieldWithSqrt}\\
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\ccRefIdfierPage{FieldWithKthRoot}\\
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\ccRefIdfierPage{FieldWithRootOf}\\
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\ccRefIdfierPage{AlgebraicStructureTraits}\\
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%\ccHasModels
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%\CC\ built-in number types \\
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%\ccc{CGAL::Gmpq} \\
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%\ccc{CGAL::Gmpz} \\
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%\ccc{CGAL::Gmpzf} \\
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%\ccc{mpz_class} \\
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%\ccc{mpq_class} \\
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%%\ccc{mpf_class} \\
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%\ccc{leda_integer} \\
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%\ccc{leda_rational} \\
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%\ccc{leda_bigfloat} \\
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%\ccc{leda_real} \\
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%\ccc{CORE::BigInt} \\
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%\ccc{CORE::BigRat} \\
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%%\ccc{CORE::BigFloat} \\
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%\ccc{CORE::Expr} \\
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%%\ccc{CGAL::Interval_nt} \\
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%%\ccc{CGAL::Interval_nt_advanced} \\
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%\ccc{CGAL::MP_Float} \\
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%\ccc{CGAL::Lazy_exact_nt< NT >} (depends on NT) \\
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%\ccc{CGAL::Quotient< NT >} \\
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%\ccc{CGAL::Sqrt_extension< NT, Root >} \\
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%%\ccc{CGAL::Polynomial< T >} \\
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\end{ccRefConcept} |