Fragment of flow graph: различия между версиями

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A node <math>p</math> of a fragment <math>A</math> is called '''initial''' (respectively, '''output''' or '''exit''')
A node <math>p</math> of a fragment <math>A</math> is called '''initial''' (respectively, '''output''' or '''exit''')
if either <math>p</math> is the initial node of <math>G</math> (respectively, <math>p</math> is the terminal node of <math>G</math>)
if either <math>p</math> is the initial node of <math>G</math> (respectively, <math>p</math> is the terminal node of <math>G</math>)
or an arc of <math>G</math> not belonging to <math>A</math> enters <math>p</math> ( respectively, leaves <math>P</math>).
or an arc of <math>G</math> not belonging to <math>A</math> enters <math>p</math> ( respectively, leaves <math>p</math>).


A node <math>p</math> of a fragment <math>A</math> is called its '''entry ''' if there is a part from the initial node of <math>G</math> to <math>p</math>
A node <math>p</math> of a fragment <math>A</math> is called its '''entry ''' if there is a part from the initial node of <math>G</math> to <math>p</math>
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A node <math>p</math> of a fragment <math>A</math> other than the initial and terminal nodes of <math>G</math>
A node <math>p</math> of a fragment <math>A</math> other than the initial and terminal nodes of <math>G</math>
is called a boundary of <math>A</math> if <math>p</math> is the initial or output node of <math>A</math>.
is called a '''boundary''' of <math>A</math> if <math>p</math> is the initial or output node of <math>A</math>.


Let <math>p</math> be a '''boundary''' node of a fragment <math>A</math>. It is called '''starting '''
Let <math>p</math> be a boundary node of a fragment <math>A</math>. It is called '''starting '''
of <math>A</math> if <math>A</math> contains no predecessors of <math>p</math>  or all successors of <math>p</math>. It is called
of <math>A</math> if <math>A</math> contains no predecessors of <math>p</math>  or all successors of <math>p</math>. It is called
'''finishing'''of <math>A</math> if <math>A</math> contains all predecessors of <math>p</math> or no successors of <math>p</math>.
'''finishing''' of <math>A</math> if <math>A</math> contains all predecessors of <math>p</math> or no successors of <math>p</math>.




[[Категория: Потоковый анализ программ]]
[[Категория: Потоковый анализ программ]]

Версия от 12:19, 29 октября 2025

Fragment of flow graph --- фрагмент уграфа.

A subgraph of a control flow graph [math]\displaystyle{ G }[/math] is called a fragment.

A fragment [math]\displaystyle{ A }[/math] is a subfragment of [math]\displaystyle{ B }[/math], if [math]\displaystyle{ A\subseteq B }[/math]; it is a proper subfragment if [math]\displaystyle{ A\neq B }[/math].

A node [math]\displaystyle{ p }[/math] of a fragment [math]\displaystyle{ A }[/math] is called initial (respectively, output or exit) if either [math]\displaystyle{ p }[/math] is the initial node of [math]\displaystyle{ G }[/math] (respectively, [math]\displaystyle{ p }[/math] is the terminal node of [math]\displaystyle{ G }[/math]) or an arc of [math]\displaystyle{ G }[/math] not belonging to [math]\displaystyle{ A }[/math] enters [math]\displaystyle{ p }[/math] ( respectively, leaves [math]\displaystyle{ p }[/math]).

A node [math]\displaystyle{ p }[/math] of a fragment [math]\displaystyle{ A }[/math] is called its entry if there is a part from the initial node of [math]\displaystyle{ G }[/math] to [math]\displaystyle{ p }[/math] that includes no arcs of the fragment [math]\displaystyle{ A }[/math]. [math]\displaystyle{ p }[/math] is called a terminal node of a fragment [math]\displaystyle{ A }[/math] if [math]\displaystyle{ p }[/math] does not belong to [math]\displaystyle{ A }[/math] and is a successor of a node of [math]\displaystyle{ A }[/math].

A node [math]\displaystyle{ p }[/math] of a fragment [math]\displaystyle{ A }[/math] other than the initial and terminal nodes of [math]\displaystyle{ G }[/math] is called a boundary of [math]\displaystyle{ A }[/math] if [math]\displaystyle{ p }[/math] is the initial or output node of [math]\displaystyle{ A }[/math].

Let [math]\displaystyle{ p }[/math] be a boundary node of a fragment [math]\displaystyle{ A }[/math]. It is called starting of [math]\displaystyle{ A }[/math] if [math]\displaystyle{ A }[/math] contains no predecessors of [math]\displaystyle{ p }[/math] or all successors of [math]\displaystyle{ p }[/math]. It is called finishing of [math]\displaystyle{ A }[/math] if [math]\displaystyle{ A }[/math] contains all predecessors of [math]\displaystyle{ p }[/math] or no successors of [math]\displaystyle{ p }[/math].