MultiIndexNeighborhood#
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class MultiIndexNeighborhood#
Abstract base class for MultiIndexSet graph connectivity definitions.
Subclassed by mpart::DefaultNeighborhood
Public Functions
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virtual ~MultiIndexNeighborhood() = default#
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virtual std::vector<MultiIndex> ForwardNeighbors(MultiIndex const &multi) = 0#
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virtual std::vector<MultiIndex> BackwardNeighbors(MultiIndex const &multi) = 0#
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virtual bool IsForward(MultiIndex const &base, MultiIndex const &next) = 0#
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virtual bool IsBackward(MultiIndex const &base, MultiIndex const &next) = 0#
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virtual ~MultiIndexNeighborhood() = default#
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class DefaultNeighborhood : public mpart::MultiIndexNeighborhood#
Defines the standard graph connectivity for a MultiIndexSet. A multiindex \(\mathbf{\alpha}\) is a forward neighbor of \(\mathbf{\beta}\) if \(\|\mathbf{\alpha}-\mathbf{\beta}|_1==1\) and \(\mathbf{\alpha}_i \geq \mathbf{\alpha}_i\) for all \(i\).
A multiindex \(\mathbf{\alpha}\) is a backward neighbor of \(\mathbf{\beta}\) if \(\|\mathbf{\alpha}-\mathbf{\beta}|_1==1\) and \(\mathbf{\alpha}_i \leq \mathbf{\alpha}_i\) for all \(i\).
Public Functions
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virtual ~DefaultNeighborhood() = default#
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virtual std::vector<MultiIndex> ForwardNeighbors(MultiIndex const &multi) override#
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virtual std::vector<MultiIndex> BackwardNeighbors(MultiIndex const &multi) override#
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virtual bool IsForward(MultiIndex const &base, MultiIndex const &next) override#
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virtual bool IsBackward(MultiIndex const &base, MultiIndex const &prev) override#
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virtual ~DefaultNeighborhood() = default#