How to resolve the algorithm Brace expansion step by step in the REXX programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Brace expansion step by step in the REXX programming language

Table of Contents

Problem Statement

Brace expansion is a type of parameter expansion made popular by Unix shells, where it allows users to specify multiple similar string parameters without having to type them all out. E.g. the parameter enable_{audio,video} would be interpreted as if both enable_audio and enable_video had been specified.

Write a function that can perform brace expansion on any input string, according to the following specification. Demonstrate how it would be used, and that it passes the four test cases given below. In the input string, balanced pairs of braces containing comma-separated substrings (details below) represent alternations that specify multiple alternatives which are to appear at that position in the output. In general, one can imagine the information conveyed by the input string as a tree of nested alternations interspersed with literal substrings, as shown in the middle part of the following diagram: This tree can in turn be transformed into the intended list of output strings by, colloquially speaking, determining all the possible ways to walk through it from left to right while only descending into one branch of each alternation one comes across (see the right part of the diagram). When implementing it, one can of course combine the parsing and expansion into a single algorithm, but this specification discusses them separately for the sake of clarity. Expansion of alternations can be more rigorously described by these rules: Parsing the input string involves some additional complexity to deal with escaped characters and "incomplete" brace pairs: For every possible input string, your implementation should produce exactly the output which this specification mandates. Please comply with this even when it's inconvenient, to ensure that all implementations are comparable. However, none of the above should be interpreted as instructions (or even recommendations) for how to implement it. Try to come up with a solution that is idiomatic in your programming language. (See #Perl for a reference implementation.)

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Brace expansion step by step in the REXX programming language

Source code in the rexx programming language

/*- REXX --------------------------------------------------------------
* Brace expansion
* 26.07.2016
* s.* holds the set of strings
*--------------------------------------------------------------------*/
text.1='{,{,gotta have{ ,\, again\, }}more }cowbell!'
text.2='~/{Downloads,Pictures}/*.{jpg,gif,png}'
text.3='It{{em,alic}iz,erat}e{d,}, please. '
text.4='{}} some }{,{\\{ edge, edge} \,}{ cases, {here} \\\\\} '
text.5='x{,a,b,c}{d,e}y'
text.6='aa{,{,11}cc}22'
text.7='{}'
Parse Arg dbg
oid='brace.xxx'; 'erase' oid
Do case=1 To 7
  Call brac text.case
  End
Return
brac:
  s.=0
  Parse Arg s
  Say ''
  Say '  's
  s.1.0=1                            /* first iteration              */
  s.1.1=s                            /* the initial string           */
  Do it=1 To 10 Until todo=0         /* Iterate until all done       */
    todo=0                           /* will be 1 if more to be done */
    Call dbg 'Iteration' it
    do di=1 To s.it.0                /* show current state           */
      Call dbg 's.'it'.'di  s.it.di
      End
    ita=it+1                         /* index for next set of strings*/
    xp=0
    do di=1 To s.it.0                /* loop over all strings        */
      Call dbg it'.'di s.it.di
      Call bra s.it.di               /* analyze current string       */
      If braces=1 Then Do            /* If brace groups were found   */
        Do bgi=1 To bgdata.0         /* loop over grace groups       */
          If end.bgi=0 Then Iterate  /* Incomplete bg (... )         */
          clist=''
          Do cj=1 To ci.bgi.0
            clist=clist ci.bgi.cj
            End
          Call dbg bgdata.bgi '->' clist
          If ccount.bgi>0 Then Do    /* comma(s) founf in bg         */
            Call expand bgi          /* expand this bg               */
            xp=1                     /* indicate that we worked      */
            Leave
            End
          End
        If xp=0 Then Do              /* nothing done                 */
          z=s.ita.0+1                /* copy string to next iteration*/
          s.ita.z=s.it.di
          End
        End
      Else Do                        /* no brace group               */
        z=s.ita.0+1                  /* copy string to next iteration*/
        s.ita.z=s
        s.ita.0=z
        End
      End
    Do dd=1 To s.ita.0               /* log current set of strings   */
      Call dbg ita dd s.ita.dd
      End
    End
  Do dd=1 To s.it.0                  /* show final set of strings    */
    Say dd s.it.dd
    End
  Return

bra:
/*---------------------------------------------------------------------
* Analyze the given string
* Input: s
* Output:
* bgdata.*  Array of data about brace groups:
*                      level start column comma positions end column
*--------------------------------------------------------------------*/
parse Arg s
Call dbg 'bra:' s
level=0
bgdata.=0
bgn=0
bgnmax=0
ccount.=0
ol=''
ci.=0
bgnl=''
braces=0
end.=0
escape=0
Do i=1 To length(s)
  c=substr(s,i,1)
  Select
    When escape Then
      escape=0
    When c='\' Then
      escape=1
    When c='{' Then Do
      level=level+1
      Call bm c
      co=level
      End
    When c='}' Then Do
      If level>0 Then Do
        co=level
        Call bm c
        level=level-1
        End
      End
    When c=',' Then Do
      co=level
      If co>0 Then Do
        ccount.bgn=ccount.bgn+1
        z=ccount.bgn
        ci.bgn.0=z
        ci.bgn.z=i
        End
      If ccount.bgn>0 Then
        braces=1
      End
    Otherwise
      co=level
    End
  ol=ol||co
  bgnl=bgnl||bgn
  End
Call dbg s
Call dbg ol
Call dbg left(copies('123456789.',10),length(s))
Call dbg bgnl
Do bgi=1 To bgdata.0
  If end.bgi=1 Then Do
    cl=''
    Do cii=1 To ci.bgi.0
      cl=cl ci.bgi.cii
      End
    Parse Var bgdata.bgi level a e
    Call dbg bgi level a cl e
    End
  End
Return

bm:
/*---------------------------------------------------------------------
* Brace Management
* for '{' create a new brace group )record level and start column
* for '}' look for corresponding bg and add end column
* Input: column and character ( '{' or '}' )
* Output: bgdata.*  level start-column [end-column]
*--------------------------------------------------------------------*/
  Parse Arg oc
  Call dbg oc i level
  If oc='{' Then Do
    z=bgdata.0+1
    bgdata.z=level i
    bgdata.0=z
    bgn=bgnmax+1
    bgnmax=bgn
    End
  Else Do
    Do bgi=bgdata.0 To 1 By -1
      If level=word(bgdata.bgi,1) Then Do
        bgdata.bgi=bgdata.bgi i
        end.bgi=1
        Leave
        End
      End
    bgn=bgn-1
    Call dbg bgdata.bgi 'bgn='bgn
    End
  Return

expand:
/*---------------------------------------------------------------------
* Expand a brace group in string s
*--------------------------------------------------------------------*/
  Parse Arg bgi
  Parse Var bgdata.bgi . start end
  clist=start clist end
  If words(clist)>0 Then Do          /* commas in brace group        */
    left=left(s,start-1)             /* part of s before the '{'     */
    rite=substr(s,end+1)             /* part of s after the '}'      */
    Do k=1 To words(clist)-1         /* Loop over comma positions    */
      a=word(clist,k)                /* start position               */
      e=word(clist,k+1)              /* end position                 */
      choice.k=substr(s,a+1,e-a-1)   /* one of the choices           */
      z=s.ita.0+1                    /* add new string to next set   */
      s.ita.z=left||choice.k||rite   /* construct new string         */
      s.ita.0=z
      todo=1                         /* maybe more to be done        */
      End
    End
  Else Do                            /* no commas                    */
    z=s.ita.0+1                      /* copy string as is to next set*/
    s.ita.z=s
    s.ita.0=z
    End
  Do zz=1 To s.ita.0
    Call dbg zz s.ita.zz
    End
  Return

dbg:                                 /* handle debug output          */
  If dbg<>'' Then                    /* argument given               */
    Say arg(1)                       /* show on screen               */
  Call lineout oid,arg(1)            /* write to file                */
  Return


  

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