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12.5 ComputationDenitionandCall
137
Math::min(Number,Number):Number
Math::max(Number,Number):Number
Math::abs(Number):Number
Math::ceil(double):double
Math::floor(double):double
Math::round(double):double
Math::truncate(double):double
Math::pow([double,]double):double
Math::log(double[,double]):double
Math::sgn(double):double
Math::sin(double):double
Math::cos(double):double
Math::tan(double):double
Math::arcsin(double):double
Math::arccos(double):double
Math::arctan(double):double
Math::pi():double
Math::e():double
Math::byteMin():byte
Math::byteMax():byte
Math::shortMin():short
Math::shortMax():short
Math::intMin():int
Math::intMax():int
Math::longMin():long
Math::longMax():long
Math::floatMin():float
Math::floatMax():float
Math::doubleMin():double
Math::doubleMax():double
File::import(string):graph
File::exists(string):boolean
Time::now():long
Table12.3: Functionsinpackagesataglance
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138
Computations(AttributeEvaluationStatements)
12.5.2 ProcedureDenitionAndCall
Procedures may returnbetween n zero andk k (arbitrary, but t staticallyxed)outputvalues,
andare thus only callable as a statement, with(or without) a multiple-value assignment.
Theyareallowedtomanipulatethegraphasneededwhilebeingexecuted;soinaprocedure
denitionyouarefreetocallotherprocedures(self-denedaswellasbuilt-in).
ProcedureDenition
-
procedure
-
Name
-
(
-
Parameters
-
)
-
ReturnTypes
-
f
-
Statement
-
g
-
ReturnTypes
-
:
-
(
-
ReturnType
,
-
)
-
Pleasenotethesyntacticdierencedistinguishingtheproceduresfromthefunctions(be-
sides the dierent t keyword): : the e returntypes s are e enclosed inparenthesis s (or omittedal-
together). Thecomputationdenitionmayreturnbetweenzero o andk values. . Itmustbe
alwaysendedwithareturnstatement;thetypeofthereturnvaluesmustbecompatibleto
thereturntypesspeciedinthecomputationdenition.(Areturnstatementmustnotoccur
outsideofacomputationdenition.)
ReturnStatement
-
return
-
(
-
Expression
,
-
)
-
;
-
ProcedureCall
-
OutputAssignment
-
Name
-
(
-
Expression
,
-
)
-
OutputAssignment
-
(
-
AssignmentTarget
,
-
)
-
=
-
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12.5 ComputationDenitionandCall
139
EXAMPLE(74)
Anexampleshowinghowproceduresaredeclaredandused.
1
procedurefoo(n:N) :(N,int)
2
{
3
(defm:N) =add(N); //createnew nodeoftype Nandaddittothegraph
4
return(m,n.a);
5
}
6
7
procedurebar(m:N,var i:int)
8
{
9
defvarfac:int =1;
10
while(i>0){
11
fac=fac *i;
12
i= i- 1;
13
}
14
m.a = m.a -fac;
15
return;
16
}
17
18
ruleexample:(int,int)
19
{
20
n:N;
21
modify{
22
defvari:int;
23
eval{
24
def m:N;
25
(m,yieldi)=foo(n);
26
bar(m,i);
27
}
28
return(i,n.a);
29
}
30
}
Asuchdenedproceduremaythenbecalledasastatementatomfromanywhereinthe
rulelanguagelewhereanattributeevaluation(/computation)isrequired;orevenfromthe
sequencecomputationswhereastatementisrequired. Besidesthebuilt-inproceduresthat
are calledwith the same syntax; table 12.4lists the globalbuilt-inproceduresoftherule
languageataglance,table12.5lists thebuilt-inprocedurescontainedinbuilt-inpackages
ataglance.
PleasenotethattheOutputAssignment isoptional,youmayexecuteaprocedurejustfor
itssideeects;thiskindofcalliseventhemostcommonasmanybuilt-inproceduresdon’t
returnvalues at allbut are just executed d for their r state changes. . The e AssignmentTarget
maybeanyoftheLHSexpressionssupportedbythedierentAssignmentStatements(adef
variable,adefvariableyieldedto,aglobalvariable,agraphelementattribute,anindexed
target,oravisited agofagraphelement),anditmaybedefvariablethatgetsjustdeclared
(LocalVariableDecl),usingtheprocedureoutputforinitialization.
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140
Computations(AttributeEvaluationStatements)
add(NodeType):(Node)
addCopy(Node):(Node)
add(EdgeType,Node,Node):(Edge)
addCopy(Edge,Node,Node):(Edge)
rem(Node)
rem(Edge)
retype(Node,NodeType):(Node)
retype(Edge,EdgeType):(Edge)
clear()
merge(Node,Node)
redirectSource(Edge,Node)
redirectTarget(Edge,Node)
redirectSourceAndTarget(Edge,Node,Node)
insert(graph)
insertCopy(graph,Node):(Node)
insertInduced(set<Node>,Node):(Node)
insertDefined(set<Edge>,Edge):(Edge)
valloc():(int)
vfree(int)
vreset(int)
vfreenonreset(int)
emit(string(,string)*)
record(string)
Table12.4: Globalproceduresataglance
File::export(string)
File::export(graph,string)
File::delete(string)
Transaction::start():(int)
Transaction::pause(int)
Transaction::resume(int)
Transaction::commit(int)
Transaction::rollback(int)
Debug::add(string(,object)*)
Debug::rem(string(,object)*)
Debug::emit(string(,object)*)
Debug::halt(string(,object)*)
Debug::highlight(string(,object,string)*)
Table12.5: Proceduresinpackagesataglance
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12.6 TheBigPicture
141
12.6 TheBigPicture
Figure12.1displaysthedierentcomputationtypesofGrGen.NET,andhowtheymayuse
andcalleachother. Ontopthestrategylanguageforrulecontrol,totheleftthedeclarative
rules and subpatterns, and to o the e right the e imperative e parts for attribute computations
ortraditionalgraphprogramming. The e statements includetheexpressions andnon-graph
changingstatements.
Rule / Test
LHS
pattern
RHS
pattern
LHS
pattern
RHS
pattern
Subpattern
Function
Procedure
Sequence
if
if
eval
eval
exec
exec
exec
Sequence
Computations
Sequence
Expressions
Sequence
Expressions/
Non-Graph-
Changing 
Statements
Statements
Sequences
Graphlets
may 
call / 
use
Figure12.1:ComputationTypesandPossibleCalls/Uses
The following tables s give e anoverview over r the rule e andcomputation sublanguages of
GrGen.NET;separatedintopatternandrewritepart,andintoexpressionsandstatements.
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142
Computations(AttributeEvaluationStatements)
.
DeclarationofananonymousnodeoftypeNode,tobematched.
-->
DeclarationofananonymousedgeoftypeEdge,tobematched.
<-->
DeclarationofananonymousedgeoftypeEdgethatcangetmatched
ineitherdirection.
--
Declarationof an anonymous undirectededge of type UEdge, to be
matched.
n:N
DeclarationofanodenoftypeN,tobematched.
-e:E->
DeclarationofanedgeeoftypeE,tobematched.
n
Referencetonodenwithinagraphlet.
-e->
Referencetoedgeewithinagraphlet.
def var v:B
Denesadef-variablevofbasictypeB,tobeyieldedto.
def ref c:C
Denesadef-variablecofcontainertypeC,tobeyieldedto.
x:typeof(y)
Theelementxtobematchedmustbeofthesameorasubtypeasy.
x:TnS
TheelementxmustbeoftypeTbutnotofsubtypeS.
x:T<y>
TheelementycastedtoT,accessibleasx.
hom(x,y)
Thepatternelementsxandy are allowedtomatchthesamegraph
element.
independent(x)
Thepatternelementxmaybematchedhomomorphicallytoallother
patternelements.
exact(x,y)
Alledgesincidenttoxandyinthehostgraphmusthavebeenspec-
iedinthepattern.
induced(x,y)
Inducededgesinbetweenxandyinthehostgraphmusthavebeen
speciedinthepattern.
iffexp;g
Anattributeconditionconstrainingthepattern.
yieldfstmtg
Acomputationforyieldingtodefvariables.
nestedfpatterng Anestedpattern,withnestedbeingoneofthepatternconstruction
modilistedin8.2.
p:P()
Ausage/callpofa(user-dened)subpatternoftypeP.
Letexpbeanexpression,stmtbeastatement,andpatternbeaLHSpattern.
Table12.6:Pattern(LHS)elementsataglance
12.6 TheBigPicture
143
modifyfpatterng
AnRHSpatternnestedinanarbitraryLHSpattern,specifying
thechanges.
replacefpatterng
AnRHSpatternnestedinanarbitraryLHSpattern,specifying
thetargetpattern.
.
DeclarationofananonymousnodeoftypeNode,tobecreated.
-->
DeclarationofananonymousedgeoftypeEdge,tobecreated.
n:N
DeclarationofanodenoftypeN,tobecreated.
-e:E->
DeclarationofanedgeeoftypeE,tobecreated.
n
Reference to node e n n within a graphlet, , ensures s it is kept t in
replacemode.
-e->
Reference to o edge e e within n a a graphlet, ensures it is kept in
replacemode.
def var v:B
Denesadef-variablevofbasictypeB,tobeyieldedto.
def ref c:C
Denesadef-variablecofcontainertypeC,tobeyieldedto.
delete(x)
Deleteselementxinmodifymode.
x:typeof(y)
Theelementxiscreatedwiththesametypeasy.
x:T<y>
TheelementyiscastedtotypeT,accessibleasxafterwards.
x:copy<y>
Theelementxiscreatedasexactcopyofy.
x:typeof(y)<y,z>
Thenodesyandzaremergedandcastedtotheoriginaltype
ofy,accessibleasxafterwards.
x !-e->! ! y
Theedgeeisredirectedtosourcenodexandtargetnodey.
evalfstmtg
Acomputationassigningtoattributesordefvariables.
exec(s ;> yield o=i) ) Executesthesequences,andthenyieldsthevalueofaninner
variableitoanoutervariableo.Yieldingfromanexecisonly
possibleinthetop-levelexecofarule,innestedpatternsand
subpatternstheexecisexecuteddeferred.
delete(p)
Deletesthesubpatternusedasp.
:P()
CreatesasimplesubpatternoftypeP.
:p()
Usesorcallstherewritepartofa(user-dened)subpatternused
aspinthecontainingLHSpattern.
Letstmtbeastatement.
Table12.7: Rewriteelements(RHSpattern)ataglance
144
Computations(AttributeEvaluationStatements)
v
Readsthevariablev.
::v
Readstheglobalvariablev.
v.a
Readstheattributeaof v.
v[i]
Readsthevalueatpositioniofcontainerv.
idx[n]
Readstheincidencecountofnodenfromincidencecountindex
idx.
x.a[i]
Readsthevalueatpositioniofcontainerattributeaofx.
x.visited[i]
Readsthevisited agiofgraphelementx.
typeof(v)
Returnsthetypeofgraphelementv.
(T)v
CastsvtotypeT.
nameof(v)
Returnsthenameofgraphelementv.
random()
Returnsarandomvalueinbetween0.0and1.0.
cond ? ? exp1 1 : exp2 2 Returnsexp1ifcond,otherwiseexp2.
e op f
Foropbeingoneofthebinaryoperatorslistedin6.9.
op f
Foropbeingoneoftheunaryoperatorslistedin6.9.
f(...)
Callsoneofthefunctionslistedin12.1. Orcallsauserdened
functionf.
v.fm(...)
Callsoneofthefunctionmethodslistedin16.1. Orcallsauser
denedfunctionmethodfm.
Letcond,exp1,andexp2beexpressions.
Table12.8:Expressionsataglance
12.6 TheBigPicture
145
def n:N
DenesavariablenofnodetypeN.
def -e:E->
DenesavariableeofedgetypeE.
def var v:B
DenesavariablevofbasictypeB.
def ref c:C
DenesavariablecofcontainertypeC.
v = exp
Assignsthevalueofexptothevariablev.
::v = = exp
Assignsthevalueofexptotheglobalvariablev.
v.a = = exp
Assignsthevalueofexptotheattributeaofv.
v[i] = exp
Assigns thevalue of exptothepositioniofcon-
tainerv.
x.a[i] = = exp
Assigns thevalue of exptothepositioniofcon-
tainerattributeaofx.
x.visited[i] = exp
Assigns the value e of f exp p to the e visited  ag g i of
graphelementx.
if(cond) fS1g g else fS2g
ExecutesS1i condevaluatestotrue,orS2oth-
erwise.
switch(exp) f f cases s g
Evaluatesexp,thendispatchestooneofthecases,
seebelow.
case c-exp fS1g else e fS2g
If the constant exp matches the value switched
upon,S1isexecuted,ifnoneofthecasesmatches,
elseisexecuted(ifavailable).
while(cond) fS1g
ExecutesS1aslongascondevaluatestostrue.
do fS1g while(cond)
ExecutesS1untilcondevaluatestofalse.
for(v:T in c) fS1g
ExecutesS1foreachvaluevcontainedincontainer
c.
for(i:T->v:S in c) fS1g
Executes S1 for each h key/position n to value pair
(i,v)containedincontainerc.
for(i:int in [l:r]) ) fS1g
Executes S1 for eachinteger r i i in the range e from
l to o r, , insteps s of f 1, upwards if f l<=r, , otherwise
downwards.
for(n:N in fasc.(idx>7)g) ) fS1g g ExecuteS1foreverynintheindexidx,inascend-
ingorder, from 7 7 exclusive on. . asc. . abbreviates
ascending,isnotvalidsyntaxassuch.
break
Abortsexecutionofthecontainingloop.
continue
Continues execution n of the containing loop at its
condition.
return
Returnsfromacontainingfunctionorprocedure.
return(v)
Returns from a containing function or procedure
withresultvaluev.
exec(s ;> yield o=i)
Executesthesequences,andthenyieldsthevalue
ofaninnervariableitoanoutervariableo.
(...)=p(...)
Callsoneoftheprocedureslistedin12.4. Orcalls
auserdenedprocedurep.
(...)=v.pm(...)
Calls one oftheproceduremethods listedin16.2.
Orcallsauserdenedproceduremethodpm.
exec(s)
Executesthesequences.
Letexpandcondbeexpressions,andS1andS2bestatements
Table12.9: Statementsataglance
146
Computations(AttributeEvaluationStatements)
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