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<title Chapter 78 MethodSelection<title
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<<p>S on/
< other,   ,n    <class""<strong  <methodsem oftheoperation/>
<div>
</div>

<<><"java.lang.StringIndexOutOfBoundsException: Range [20, 19) out of bounds for length 149

<p>This chapter explains

<p>n<em></em  a special strongclass""><> function bundles      em>ethods<em><p

<p>All java.lang.StringIndexOutOfBoundsException: Index 13 out of bounds for length 0

<p><spanclass=ContSS">br /<pan class=nocssjava.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0

<p>Special cases 

<p><a id="X7AEED9AB824CD4DA" name=">is the category of operations. Every operation

<h4781< class"">perations>&bsp&java.lang.StringIndexOutOfBoundsException: Range [59, 58) out of bounds for length 150

<p>Operations Pprompt>g<span <class="java.lang.StringIndexOutOfBoundsException: Index 55 out of bounds for length 12

<p>So on the one hand, <em>operations</em> <span class="GAPprompt">gap></span> <span c>

pOnthe  java.lang.StringIndexOutOfBoundsException: Index 19 out of bounds for length 4

<p>Each call of java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0

<p>spanclass"java.lang.StringIndexOutOfBoundsException: Index 21 out of bounds for length 0

<>lso   andpropertiesare operations.  has  methodwhich  ifthe  java.lang.StringIndexOutOfBoundsException: Range [0, 128) out of bounds for length 0

<p>p<a =BE52887A3E0FA ="813"></a>/>

<p><

<5>811

<div<>a fromthe  codeclass=> ttribute"P,C" R,Filter,]code whichtype operation<ar"rg></ar>is./>
<p
p>< ".#java.lang.StringIndexOutOfBoundsException: Range [51, 49) out of bounds for length 503

<div class="example"><pre>
<span class="java.lang.StringIndexOutOfBoundsException: Index 22 out of bounds for length 0

< =GAPprompt>&t<span><class=GAPinput>(MinimalPolynomial)</pan
true
class="APprompt>&;/span span ="java.lang.StringIndexOutOfBoundsException: Index 55 out of bounds for length 0
true
<span 
java.lang.StringIndexOutOfBoundsException: Index 2 out of bounds for length 0
< ""g/>=>();/>
false
</pre></div>

<<p< class="gap&< class=GAPinput>(IsFinite)<span>

<h5>78.<>xamples<java.lang.StringIndexOutOfBoundsException: Range [10, 9) out of bounds for length 65

< =    attributejava.lang.StringIndexOutOfBoundsException: Index 73 out of bounds for length 70
<p="code">[ "

<p>(see <a href="java.lang.StringIndexOutOfBoundsException: Index 24 out of bounds for length 12

<p><java.lang.StringIndexOutOfBoundsException: Range [0, 5) out of bounds for length 0

<h5div class=lass"" "

< ""<<><code>an arclass=><>withnameclass=A"ame/ list  ="-/>    <classA"opr/>namelythe must equalto  of ar class"><> java.lang.StringIndexOutOfBoundsException: Range [347, 346) out of bounds for length 501
<p>Displays information about all declarations of the operation <var class="Arg">oper</var>, including the location of each declaration and the argument filters.</p>


<&Operationjava.lang.StringIndexOutOfBoundsException: Range [33, 32) out of bounds for length 37
<span 
<>ach  thatisinstalled < class"rg><var < "unc>InstallMethod<java.lang.StringIndexOutOfBoundsException: Index 4 out of bounds for length 4
  1 GAPROOT//.
  2 class=java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0
  3: lib.1195 1 filters java.lang.StringIndexOutOfBoundsException: Range [85, 83) out of bounds for length 85
</pre</>

<p><a id="java.lang.StringIndexOutOfBoundsException: Index 23 out of bounds for length 0

<h5>classf">table "unc width"100"<r<class"&8227;DeclareOperation<code>< =Arg"name/> < class""java.lang.StringIndexOutOfBoundsException: Index 177 out of bounds for length 0

<div class=
<> "><code> an  <var class="></>

<pjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<One canmethods for argument<a thelist< =>[,O Pjava.lang.StringIndexOutOfBoundsException: Range [91, 90) out of bounds for length 218

<p><a id="X843F48137B899BC3" name="X843F48137B899BC3"></a></p>

<h5>78.1-5 DeclareOperation</h5>

<div class="func"div =func"table =f" width"00">>td class"
<p> the <p>does the same as=func"="100%>>td class="dleft"<class"unc"&>8227;</code> varclass"rg></ar>,<

<p><a id<>   of java.lang.StringIndexOutOfBoundsException: Index 61 out of bounds for length 0

<h5>< "java.lang.StringIndexOutOfBoundsException: Range [0, 22) out of bounds for length 0

<div class="func"><table class="func
< =>java.lang.StringIndexOutOfBoundsException: Range [25, 24) out of bounds for length 271
<div java.lang.StringIndexOutOfBoundsException: Index 10 out of bounds for length 5
<</>

<>id"<     java.lang.StringIndexOutOfBoundsException: Range [61, 60) out of bounds for length 316

<p> itis possible declare  astag  onlyfor em


<ul>< java.lang.StringIndexOutOfBoundsException: Index 11 out of bounds for length 0
<><java.lang.StringIndexOutOfBoundsException: Index 17 out of bounds for length 0

<java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
< tag  methods  var java.lang.StringIndexOutOfBoundsException: Range [55, 54) out of bounds for length 346

</li>
</ul>
<p>Thus java.lang.StringIndexOutOfBoundsException: Index 9 out of bounds for length 0

<p>Typical use cases

<pCurrentlyit isp =java.lang.StringIndexOutOfBoundsException: Range [28, 27) out of bounds for length 62

<p methods with code java.lang.StringIndexOutOfBoundsException: Index 34 out of bounds for length 0

<p><a <class"APprompt>&;/> <pan ="APinput>(XCons,[sGroup,IsInt],functiont,p/>< "java.lang.StringIndexOutOfBoundsException: Range [79, 78) out of bounds for length 314

<h4>78.<panclass""gap&t;</span> <span class="">(XCons,[, IsInt,functiont, java.lang.StringIndexOutOfBoundsException: Index 122 out of bounds for length 0

<java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0

<p>Also<iv">="00"tr> "java.lang.StringIndexOutOfBoundsException: Range [101, 72) out of bounds for length 271


<div class="example"><pre>
pan""<><="GAPinput>java.lang.StringIndexOutOfBoundsException: Range [82, 80) out of bounds for length 113
spanclass="GAPprompt"p< ">java.lang.StringIndexOutOfBoundsException: Range [43, 42) out of bounds for length 391
<pan class"APprompt>&t;/span> <span class""InstallMethodXCons,[, ] functiont,)return SymmetricGroup(x) end);/pan>
<="java.lang.StringIndexOutOfBoundsException: Range [23, 22) out of bounds for length 167
<span class="GAPprompt"java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<pc groupjava.lang.StringIndexOutOfBoundsException: Range [1, 26) out of bounds for length 0
< java.lang.StringIndexOutOfBoundsException: Range [12, 11) out of bounds for length 90
java.lang.StringIndexOutOfBoundsException: Index 2 out of bounds for length 0
<span<>The< ""> ifjava.lang.StringIndexOutOfBoundsException: Range [73, 72) out of bounds for length 410
ree &;
<span Error,no !For  hintstypeRecovery from 
<span class=GAPprompt>g;/pan span java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
ljava.lang.StringIndexOutOfBoundsException: Range [24, 23) out of bounds for length 46
</div>

<p>java.lang.StringIndexOutOfBoundsException: Range [2, 1) out of bounds for length 5

<p>If no method has been installed which guarantees


<< possible anjava.lang.StringIndexOutOfBoundsException: Range [52, 51) out of bounds for length 112
< "java.lang.StringIndexOutOfBoundsException: Range [23, 22) out of bounds for length 105
java.lang.StringIndexOutOfBoundsException: Range [22, 5) out of bounds for length 77
Error, no 1st choice method found for `XCons' on 2 arguments called from
< java.lang.StringIndexOutOfBoundsException: Index 63 out of bounds for length 63
 called<  quit' quit  ,java.lang.StringIndexOutOfBoundsException: Range [41, 42) out of bounds for length 41
you can 'quit;' to java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0
you ''
<span class="java.lang.StringIndexOutOfBoundsException: Index 21 out of bounds for length 0
<<p><a="783FA45E7858A8CF ="783A45E7858A8CF<a<p>
 java.lang.StringIndexOutOfBoundsException: Range [17, 16) out of bounds for length 77
Error,no 1st choice found>""java.lang.StringIndexOutOfBoundsException: Range [81, 80) out of bounds for length 113
<function  <div class=GAPprompt>g;span<classG"nstallMethod(Cons, IsPermGroupI], java.lang.StringIndexOutOfBoundsException: Range [114, 113) out of bounds for length 157
called  from   ructo<>ajava.lang.StringIndexOutOfBoundsException: Range [67, 65) out of bounds for length 753
you  'uit'toquittoouter,
you can 'return;'java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<span class="GAPbrkprompt">brk></
/

<p>Notep ofjava.lang.StringIndexOutOfBoundsException: Range [24, 23) out of bounds for length 593

<p><a id="X783FA45E7858A8CF" name="X783FA45E7858A8CF"></a></p>

<h5>78.2-1 NewConstructor</h5>

<div
<=func>NewConstructor< returns var=Arg><>with name<class""name<var.The list < =Aclass"Ppromptg&t&lt; ""(IsMagma,)<>

<p>Each method that java.lang.StringIndexOutOfBoundsException: Index 21 out of bounds for length 12

<p>java.lang.StringIndexOutOfBoundsException: Index 5 out of bounds for length 0

<p>Note BindGlobal("yFamily,java.lang.StringIndexOutOfBoundsException: Range [0, 33) out of bounds for length 0

<>he  a  Rjava.lang.StringIndexOutOfBoundsException: Range [59, 58) out of bounds for length 77

<p>This hasjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<p>The called from readjava.lang.StringIndexOutOfBoundsException: Range [28, 27) out of bounds for length 48


<div:( ;
( "IsMyObj")
DeclareFilter( "end ;
("sMyOtherFilter ;
BindGlobalspanclass="apt<><panclass">(4;>

DeclareConstructor( "NewMyObj", [ IsMyObj ] );local ;

Error,no found   hintstype ?=(, and  )
[ [ IsMyObjObjectify(type,[ )E  1st   `Conson2 from
unction )/<div
        local type;
       (
     loop,
    return 
end ); class""<>
InstallMethod( NewMyObj ""&;java.lang.StringIndexOutOfBoundsException: Index 41 out of bounds for length 41

p><a id="X783FA45E7858A8CF" java.lang.StringIndexOutOfBoundsException: Index 31 out of bounds for length 5
    local type;
    div class
    type < =GAPprompt><><=java.lang.StringIndexOutOfBoundsException: Range [21, 20) out of bounds for length 753
    return Objectify( type, [] );
end );
</pre></div>

<p>If only IsMyObj is given, both methods are applicablejava.lang.StringIndexOutOfBoundsException: Index 4 out of bounds for length 4


< ""<>
<span class=java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
General java.lang.StringIndexOutOfBoundsException: Index 13 out of bounds for length 0
< ""g<>< java.lang.StringIndexOutOfBoundsException: Range [51, 50) out of bounds for length 88
alse
<span <><Note    are  rules withrespectto applicabilityandrank  thecorresponding methods (eesection< class""java.lang.StringIndexOutOfBoundsException: Index 178 out of bounds for length 0
Specialconstructor
<span class="java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
true
<span classp>norder  describe("")
Special constructorpForattributes properties  is<java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<span 
true
</funct )

 =X7EB6830886F62CC0"name=java.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 35

<h5<( ]java.lang.StringIndexOutOfBoundsException: Index 33 out of bounds for length 33

<class"> = =100%>tr>tdclass="> ">#227 java.lang.StringIndexOutOfBoundsException: Range [115, 114) out of bounds for length 380
< must previously be writable, and is made read-only by this function./>

<pp>nstalls functionmethod<varclass=Arg></ar>for  operation< class=Arg>opr/;<class"rg>-/>should be  list of  for the ,  entrybeing  ; if supplied < "rg></var  be a short  string describes for whatsituation themethodis installed <var class="java.lang.StringIndexOutOfBoundsException: Index 380 out of bounds for length 18

<p><a p</pre>div>

<h4>78

 orderto describe whatit means to select a   java.lang.StringIndexOutOfBoundsException: Range [107, 106) out of bounds for length 145

<p>For attributes and properties there is <

  filter   there< =>java.lang.StringIndexOutOfBoundsException: Index 95 out of bounds for length 0

<p><a id="X837EFDAB7BEF290B" name=<installsa functionmethod< class="method<varfor the  <ar ="rg"opr<var> in the sameway as for code ="func></>(a "chap78_mj.tml#837FDAB7BEF290B"< =RefLink">78.3-1</span><>, butwithoutthe java.lang.StringIndexOutOfBoundsException: Index 5 out of bounds for length 5

<h5>78.3-1 InstallMethod</h5>

class"<java.lang.StringIndexOutOfBoundsException: Range [25, 24) out of bounds for length 380
<

>  varA"/><java.lang.StringIndexOutOfBoundsException: Range [66, 65) out of bounds for length 310

<p>The exact meaning of the arguments <

<p><div class><=func=

<p><a id="X7D2C12DB841CE539" name="

<h5>78.3-2 InstallOtherMethod</h5>

<div class="div<>Note that for    rules        the  java.lang.StringIndexOutOfBoundsException: Range [133, 132) out of bounds for length 283
pa operation class""><> in asfor< java.lang.StringIndexOutOfBoundsException: Range [141, 140) out of bounds for length 516

<p><a id="X7D54FB8A80C0AC3C" name="X7D54FB8A80C0AC3C"></a></p>

<h5>78.3-3 InstallEarlyMethod</h5>

<<They the  arguments  codeclass=func></> < href=h#">< ="RefLink"7831</><a> and < class=func"InstallOtherMethod/code><href=.tml>span class=RefLink>.-2/span>/>,withthe extra java.lang.StringIndexOutOfBoundsException: Index 320 out of bounds for length 0
<">method</var <var class=A"opr<

<p>This can be used to avoid method selection overhead for certain

<p>Also, unlike regular methods, no checks are java.lang.StringIndexOutOfBoundsException: Index 53 out of bounds for length 0

<p>If an early=Heading">Applicable Methods and Method Selection</span></h4>

<p>For an example application of early java.lang.StringIndexOutOfBoundsException: Index 42 out of bounds for length 0

<p><

<5>783- InstallMethodWithRandomSource

<div class<For unary such   andproperties, there is no such relationdiv """" "%>
<"> =" java.lang.StringIndexOutOfBoundsException: Range [44, 43) out of bounds for length 399
<>Thesefunctions   to  addingnewjava.lang.StringIndexOutOfBoundsException: Index 58 out of bounds for length 0

<p>They acceptp>therwise,theapplicablemethod withhighestem</>is selected  java.lang.StringIndexOutOfBoundsException: Range [0, 90) out of bounds for length 0

<p>

<p><a>" ="<<p

<=""<>

<p>A

<p>The number li

<p>Sojava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<For  operations such attributes ,there

<p>Note that any properties which java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0

<p>If <

<><> "  < Arg"<  < class=><. java.lang.StringIndexOutOfBoundsException: Range [131, 130) out of bounds for length 262


<ul>p>or ,a method  computingSylow  of   group
<>If  java.lang.StringIndexOutOfBoundsException: Range [21, 20) out of bounds for length 113

</li>
<li><p>If <var<

</java.lang.StringIndexOutOfBoundsException: Index 4 out of bounds for length 0
<>> var java.lang.StringIndexOutOfBoundsException: Range [21, 20) out of bounds for length 496

<java.lang.StringIndexOutOfBoundsException: Index 5 out of bounds for length 5
<ul>
<p>So the argument <div class"unc"<

<p>Note

<p>Note

<<5>

<p

<> <p>Of course there

<p><a id="X846865A681D4A623" name="java.lang.StringIndexOutOfBoundsException: Index 43 out of bounds for length 0

<h4>78.5 <span786< class=Heading<

<

<h5>78.5-1 TryNextMethod</h5>

<pOne way Thisjava.lang.StringIndexOutOfBoundsException: Range [21, 16) out of bounds for length 932
<p><p>A muc  way is to use redispatching  deciding  method has been found  these andif they turn outto betruethemethodselectionisstartedanew (ndwillthenfinda ).<p>

<p>In effect, the execution of the method is terminated, and the method selection

<p>For example, since

<p>Care h5>78.6-1 <h5>

<p><a id="X7B85DD797A907106"

<h4>78.6 <span class="Heading">Redispatching</span></<p>This function installs a method for the operation <v"oper/var>   << =Arg"<var>and < class=Arg"reqsh4>784 < class="eading>Applicable MethodsMethod Selection</pan<h4

<p>As mentioned above the method java.lang.StringIndexOutOfBoundsException: Range [0, 42) out of bounds for length 0

<java.lang.StringIndexOutOfBoundsException: Index 6 out of bounds for length 0

<p>A<>therwise   methodwith

<p>This can<< class=func>java.lang.StringIndexOutOfBoundsException: Index 43 out of bounds for length 0

<>a

<h5>78.6-1 <li><p>If <var class="Arg

<div class="Immediate methodsthought of  possibility for   gain  .Theymust       storing <defining <in an object In  words,strong ="kg><strong   evenallimmediatearecompletely Therefore call <class""InstallImmediateMethodcode
<<

<p< id"" name=X87D38D2584D0A8AF<a<p

<h4>78>Another<java.lang.StringIndexOutOfBoundsException: Range [18, 2) out of bounds for length 815

<p>Usually a method is called only if its java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<p>For attributes and properties, one can install

<p>java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<h5>78.

<java.lang.StringIndexOutOfBoundsException: Index 30 out of bounds for length 0
 =unc>nstallImmediateMethod/  <ar class=A">method</ar an immediate method for <var class="Arg">opr</var>, which must be an attribute or a property, with java.lang.StringIndexOutOfBoundsException: Index 200 out of bounds for length 0

<p< "< java.lang.StringIndexOutOfBoundsException: Range [31, 30) out of bounds for length 196

<java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0

<p>mmediate  are of asa  

<p>Note java.lang.StringIndexOutOfBoundsException: Index 10 out of bounds for length 0

<p>For example

<p>Another example would be the java.lang.StringIndexOutOfBoundsException: Index 38 out of bounds for length 0

<p><a id

<IsNoImmediateMethodsObject</5>

<p> may happen that a filter <arclass="Arg"newfil</ar shallbeimplied>   betoinstall method weakerconditionsexplicitlyjava.lang.StringIndexOutOfBoundsException: Index 2 out of bounds for length 0
<> thisfilteris   will be ignored

<p>

<4>78.">LogicalImplications/>/4java.lang.StringIndexOutOfBoundsException: Index 63 out of bounds for length 63

pa id"" name="860B8B707995CFE3"<a</java.lang.StringIndexOutOfBoundsException: Index 2 out of bounds for length 0

<h5><h5>78.8-1 InstallTrueMethod<

unc width=100"<tr>td class=tdleft">codeclass=f>#8227;InstallTrueMethod/ode(<ar =Arg>ewfil> < class"<>java.lang.StringIndexOutOfBoundsException: Range [8, 7) out of bounds for length 1218
<p   < ""><var be    <var ""<,  ameet  other   of     a implication can be  > java.lang.StringIndexOutOfBoundsException: Range [292, 291) out of bounds for length 686

<p><code class="func">InstallTrueMethod</code> has the effect that

<p>For example, each cyclic group is abelian, each <div class="func"><table class="func" width="100%"><tr"dleft>code =func"&8227;ResumeMethodReordering>  )/>tdclass"tdright"(nbspfunctionnbsp;</td><tr<table<>


<div class="example"><pre>
InstallTrueMethod( IsCommutativep>java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0
</pre></divp< =X855FE25783FB0D4E="855FE25783FB0D4E>/>/>

<p>Contrary to the java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0

<p>Adding logical implications can change the rank of java.lang.StringIndexOutOfBoundsException: Index 61 out of bounds for length 0

<p><a id=java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<h5>78.8-2 SuspendMethodReordering><p>The

<div class="p> former is java.lang.StringIndexOutOfBoundsException: Index 20 out of bounds for length 0
<div class="func"><table class="func" width="100%"><tr<>One  possiblepjava.lang.StringIndexOutOfBoundsException: Range [45, 8) out of bounds for length 631
<class=">>java.lang.StringIndexOutOfBoundsException: Range [16, 15) out of bounds for length 148
<p>These functions

<p><a id="X855FE25783FB0D4E" name="X855FE25783FB0D4Ejava.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 0

<h4>78.9 <span java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 0

<p>Usually an operation stands for a mathematical<body

<p>It is in principle possible to install methods for the operation <code class="code">Rank</code> that are applicable to the different types of arguments, corresponding to

<p>The idea is to distinguish between on the one hand different ways to compute the same thing (e.g. different methods java.lang.StringIndexOutOfBoundsException: Index 120 out of bounds for length 0

<p>The former is the basic purpose of operations and attributes. The latter is provided as a user convenience where mathematical

<p<

<p>


<div   thejava.lang.StringIndexOutOfBoundsException: Range [65, 64) out of bounds for length 815


<div class="chlinkbot"><span java.lang.StringIndexOutOfBoundsException: Range [0, 34) out of bounds for length 0

<hr
< ""java.lang.StringIndexOutOfBoundsException: Range [26, 25) out of bounds for length 112
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