Michael Hemmer
71b369c466
AlgebriacStructureTraits::Algebraic_structure -> ::Type RealEmbeddableTraits::Real_embeddable -> ::Type CoercionTraits::Coercion_type -> ::Type FractionTraits::Fraction -> ::Type FractionTraits::Numerator -> ::Numerator_type FractionTraits::Denominator -> ::Denominator_type minor changes
63 lines
2.2 KiB
TeX
63 lines
2.2 KiB
TeX
\begin{ccRefConcept}{RealEmbeddable}
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\ccDefinition
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A model of this concepts represents numbers that are embeddable on the real
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axis. The type obeys the algebraic structure and compares two values according
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to the total order of the real numbers.
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Moreover, \ccc{CGAL::Real_embeddable_traits< RealEmebddable >} is a model of
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\ccc{AlgebraicStructureTraits}\\
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with:\\
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- \ccc{CGAL::Real_embeddable_traits< RealEmebddable >::Is_real_embeddable} set to \ccc{Tag_true} \\
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and functors :\\
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- \ccc{CGAL::Real_embeddable_traits< RealEmebddable >::Is_zero} \\
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- \ccc{CGAL::Real_embeddable_traits< RealEmebddable >::Abs} \\
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- \ccc{CGAL::Real_embeddable_traits< RealEmebddable >::Sign} \\
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- \ccc{CGAL::Real_embeddable_traits< RealEmebddable >::Is_positive} \\
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- \ccc{CGAL::Real_embeddable_traits< RealEmebddable >::Is_negative} \\
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- \ccc{CGAL::Real_embeddable_traits< RealEmebddable >::Compare} \\
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- \ccc{CGAL::Real_embeddable_traits< RealEmebddable >::To_double} \\
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- \ccc{CGAL::Real_embeddable_traits< RealEmebddable >::To_interval} \\
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- \ccc{CGAL::Real_embeddable_traits< RealEmebddable >::Is_finite} \\
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Remark:\\
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If a number type is a model of both IntegralDomainWithoutDivision and
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RealComparable, it follows that the ring represented by such a number type
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is a sub-ring of the real numbers and hence has characteristic zero.
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%( see http://mathworld.wolfram.com/CharacteristicField.html ).
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\ccRefines
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\ccc{Equality Comparable}\\
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\ccc{LessThanComparable}
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\ccOperations
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\ccFunction{bool operator==(const RealEmbeddable &a,
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const RealEmbeddable &b);}{}
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\ccGlue
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\ccFunction{bool operator!=(const RealEmbeddable &a,
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const RealEmbeddable &b);}{}
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\ccFunction{bool operator< (const RealEmbeddable &a,
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const RealEmbeddable &b);}{}
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\ccGlue
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\ccFunction{bool operator<=(const RealEmbeddable &a,
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const RealEmbeddable &b);}{}
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\ccGlue
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\ccFunction{bool operator> (const RealEmbeddable &a,
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const RealEmbeddable &b);}{}
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\ccGlue
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\ccFunction{bool operator>=(const RealEmbeddable &a,
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const RealEmbeddable &b);}{}
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\ccGlue
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\ccSeeAlso
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\ccRefIdfierPage{RealEmbeddableTraits}\\
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%\ccHasModels
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\end{ccRefConcept} |