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NAME

       gvpr - graph pattern scanning and processing language
       ( previously known as gpr )

SYNOPSIS

       gvpr  [-icqV?]   [  -o outfile ] [ -a args ] [ prog | -f progfile ] [
       files ]

DESCRIPTION

       gvpr is a graph stream editor inspired by awk.  It copies input  graphs
       to  its  output,  possibly transforming their structure and attributes,
       creating new graphs, or  printing  arbitrary  information.   The  graph
       model  is that provided by libcgraph(3).  In particular, gvpr reads and
       writes graphs using the dot language.

       Basically, gvpr traverses each input graph,  denoted  by  $G,  visiting
       each  node  and  edge,  matching  it  with  the  predicate‐action rules
       supplied in the input program.  The rules are evaluated in order.   For
       each   predicate  evaluating  to  true,  the  corresponding  action  is
       performed.  During the  traversal,  the  current  node  or  edge  being
       visited is denoted by $.

       For  each  input  graph,  there  is  a  target subgraph, denoted by $T,
       initially empty and used to accumulate chosen entities, and  an  output
       graph,  $O,  used  for final processing and then written to output.  By
       default, the output graph is the target graph.  The output graph can be
       set in the program or, in a limited sense, on the command line.

OPTIONS

       The following options are supported:

       -a args
              The  string args is split into whitespace‐separated tokens, with
              the individual tokens available as strings in the  gvpr  program
              as   ARGV[0],...,ARGV[ARGC-1].    Whitespace  characters  within
              single or double quoted substrings, or preceded by a  backslash,
              are  ignored  as  separators.  In general, a backslash character
              turns off any special meaning of the following character.   Note
              that the tokens derived from multiple -a flags are concatenated.

       -c     Use the source graph as the output graph.

       -i     Derive the node‐induced subgraph extension of the  output  graph
              in the context of its root graph.

       -o outfile
              Causes the output stream to be written to the specified file; by
              default, output is written to stdout.

       -f progfile
              Use the contents of the specified file as the program to execute
              on  the  input. If progfile contains a slash character, the name
              is taken as the pathname of the file. Otherwise, gvpr  will  use
              the directories specified in the environment variable GPRPATH to
              look for the file. If -f is not given, gvpr will use  the  first
              non‐option argument as the program.

       -q     Turns off warning messages.

       -V     Causes the program to print version information and exit.

       -?     Causes the program to print usage information and exit.

OPERANDS

       The following operand is supported:

       files   Names of files containing 1 or more graphs in the dot language.
               If no -f option is given, the first name is  removed  from  the
               list  and  used  as  the input program. If the list of files is
               empty, stdin will be used.

PROGRAMS

       A gvpr program consists of a list of predicate‐action  clauses,  having
       one of the forms:

              BEGIN { action }

              BEG_G { action }

              N [ predicate ] { action }

              E [ predicate ] { action }

              END_G { action }

              END { action }

       A  program  can contain at most one of each of the BEGIN, END_G and END
       clauses.  There can be any number of BEG_G, N  and  E  statements,  the
       first  applied  to  graphs,  the  second  to nodes, the third to edges.
       These are separated into blocks, a  block  consisting  of  an  optional
       BEG_G  statement  and  all  N  and  E  statements  up to the next BEG_G
       statement, if any.  The top‐level semantics of a gvpr program are:

              Evaluate the BEGIN clause, if any.
              For each input graph G {
                  For each block {
                      Set G as the current graph and current object.
                      Evaluate the BEG_G clause, if any.
                      For each node and edge in G {
                          Set the node or edge as the current object.
                          Evaluate the N or E clauses, as appropriate.
                      }
                  }
                  Set G as the current object.
                  Evaluate the END_G clause, if any.
              }
              Evaluate the END clause, if any.

       The actions of the BEGIN, BEG_G, END_G and END  clauses  are  performed
       when  the  clauses  are  evaluated.   For  N  or  E clauses, either the
       predicate or action may be omitted.  If there is no predicate  with  an
       action,  the action is performed on every node or edge, as appropriate.
       If there is  no  action  and  the  predicate  evaluates  to  true,  the
       associated node or edge is added to the target graph.

       The  blocks  are  evaluated in the order in which they occur.  Within a
       block, the N clauses (E clauses, respectively)  are  evaluated  in  the
       order  in  which  the  occur. Note, though, that within a block, N or E
       clauses may be interlaced, depending on the traversal order.

       Predicates and actions are sequences of statements  in  the  C  dialect
       supported  by  the  libexpr(3)  library.   The  only difference between
       predicates and actions is that the former must have  a  type  that  may
       interpreted  as  either  true or false.  Here the usual C convention is
       followed, in which a non‐zero value  is  considered  true.  This  would
       include  non‐empty  strings  and  non‐empty references to nodes, edges,
       etc. However, if a string can be converted to an integer, this value is
       used.

       In  addition  to  the usual C base types (void, int, char, float, long,
       unsigned and double), gvpr provides string as a synonym for char*,  and
       the  graph‐based  types  node_t,  edge_t, graph_t and obj_t.  The obj_t
       type can be viewed as a supertype of the other 3  concrete  types;  the
       correct base type is maintained dynamically.  Besides these base types,
       the only other supported type expressions are (associative) arrays.

       Constants follow C syntax, but strings may be quoted with either  "..."
       or  ’...’.  In  certain  contexts,  string  values  are  interpreted as
       patterns for the purpose of regular expression matching.  Patterns  use
       ksh(1) file match pattern syntax.  gvpr accepts C++ comments as well as
       cpp‐type comments.  For the  latter,  if  a  line  begins  with  a  ’#’
       character, the rest of the line is ignored.

       A statement can be a declaration of a function, a variable or an array,
       or an executable statement. For declarations, there is a single  scope.
       Array declarations have the form:

               type array [ type0 ]

       where   type0   is optional. If it is supplied, the parser will enforce
       that all array subscripts  have  the  specified  type.  If  it  is  not
       supplied,  objects  of  all  types can be used as subscripts.  As in C,
       variables and arrays must be declared.  In  particular,  an  undeclared
       variable  will  be  interpreted  as the name of an attribute of a node,
       edge or graph, depending on the context.

       Executable statements can be one of the following:
              { [ statement ... ] }
              expression              // commonly var = expression
              if( expression ) statement [ else statement ]
              for( expression ; expression ; expression ) statement
              for( array [ var ]) statement
              forr( array [ var ]) statement
              while( expression ) statement
              switch( expression ) case statements
              break [ expression ]
              continue [ expression ]
              return [ expression ]
       Items in brackets are optional.

       In the second form of the for statement and  the  forr  statement,  the
       variable  var  is  set  to each value used as an index in the specified
       array and then the associated statement is evaluated. For  numeric  and
       string  indices,  the  indices  are returned in increasing (decreasing)
       numeric or lexicographic order for for (forr, respectively).  This  can
       be used for sorting.

       Function definitions can only appear in the BEGIN clause.

       Expressions  include the usual C expressions.  String comparisons using
       == and != treat the right hand operand as a pattern.  gvpr will attempt
       to use an expression as a string or numeric value as appropriate.

       Expressions  of  graphical  type (i.e., graph_t, node_t, edge_t, obj_t)
       may be followed by  a  field  reference  in  the  form  of  .name.  The
       resulting  value  is the value of the attribute named name of the given
       object.  In addition, in certain  contexts  an  undeclared,  unmodified
       identifier  is  taken  to  be  an  attribute  name.  Specifically, such
       identifiers  denote  attributes  of   the   current   node   or   edge,
       respectively,  in  N  and E clauses, and the current graph in BEG_G and
       END_G clauses.

       As usual in the libcgraph(3) model, attributes are  string‐valued.   In
       addition, gvpr supports certain pseudo‐attributes of graph objects, not
       necessarily string‐valued. These reflect intrinsic  properties  of  the
       graph objects and cannot be set by the user.

       head : node_t
              the head of an edge.

       tail : node_t
              the tail of an edge.

       name : string
              the  name of an edge, node or graph. The name of an edge has the
              form "<tailname><edgeop><headname>[<key>]",  where  <edgeop>
              is  "->"  or  "--" depending on whether the graph is directed or
              not. The bracket part [<key>] only appears if  the  edge  has  a
              non‐trivial key.

       indegree : int
              the indegree of a node.

       outdegree : int
              the outdegree of a node.

       degree : int
              the degree of a node.

       root : graph_t
              the root graph of an object. The root of a root graph is itself.

       parent : graph_t
              the parent graph of a subgraph. The parent of a  root  graph  is
              NULL

       n_edges : int
              the number of edges in the graph

       n_nodes : int
              the number of nodes in the graph

       directed : int
              true (non‐zero) if the graph is directed

       strict : int
              true (non‐zero) if the graph is strict

BUILTIN FUNCTIONS
       The  following functions are built into gvpr. Those functions returning
       references to graph objects return NULL in case of failure.

   Graphs and subgraph
       graph(s : string, t : string) : graph_t
              creates a graph whose name is s and whose type is  specified  by
              the  string t. Ignoring case, the characters U, D, S, N have the
              interpretation undirected,  directed,  strict,  and  non‐strict,
              respectively.  If  t  is  empty, a directed, non‐strict graph is
              generated.

       subg(g : graph_t, s : string) : graph_t
              creates a subgraph in graph g  with  name  s.  If  the  subgraph
              already exists, it is returned.

       isSubg(g : graph_t, s : string) : graph_t
              returns  the  subgraph  in graph g with name s, if it exists, or
              NULL otherwise.

       fstsubg(g : graph_t) : graph_t
              returns the first subgraph in graph g, or NULL if none exists.

       nxtsubg(sg : graph_t) : graph_t
              returns the next subgraph after sg, or NULL.

       isDirect(g : graph_t) : int
              returns true if and only if g is directed.

       isStrict(g : graph_t) : int
              returns true if and only if g is strict.

       nNodes(g : graph_t) : int
              returns the number of nodes in g.

       nEdges(g : graph_t) : int
              returns the number of edges in g.

   Nodes
       node(sg : graph_t, s : string) : node_t
              creates a node in graph g of name s.  If  such  a  node  already
              exists, it is returned.

       subnode(sg : graph_t, n : node_t) : node_t
              inserts the node n into the subgraph g. Returns the node.

       fstnode(g : graph_t) : node_t
              returns the first node in graph g, or NULL if none exists.

       nxtnode(n : node_t) : node_t
              returns the next node after n in the root graph, or NULL.

       nxtnode_sg(sg : graph_t, n : node_t) : node_t
              returns the next node after n in sg, or NULL.

       isNode(sg : graph_t, s : string) : node_t
              looks  for  a  node  in  (sub)graph sg of name s. If such a node
              exists, it is returned. Otherwise, NULL is returned.

       isSubnode(sg : graph_t, n : node_t) : int
              returns non-zero  if  node  n  is  in  (sub)graph  sg,  or  zero
              otherwise.

       indegreeOf(sg : graph_t, n : node_t) : int
              returns the indegree of node n in (sub)graph sg.

       outdegreeOf(sg : graph_t, n : node_t) : int
              returns the outdegree of node n in (sub)graph sg.

       degreeOf(sg : graph_t, n : node_t) : int
              returns the degree of node n in (sub)graph sg.

   Edges
       edge(t : node_t, h : node_t, s : string) : edge_t
              creates  an edge with tail node t, head node h and name s in the
              root graph. If the graph is undirected, the distinction  between
              head  and  tail  nodes  is unimportant.  If such an edge already
              exists, it is returned.

       edge_sg(sg : graph_t, t : node_t, h : node_t, s : string) : edge_t
              creates an edge with tail node t, head node  h  and  name  s  in
              (sub)graph   sg  (and  all  parent  graphs).  If  the  graph  is
              undirected, the distinction  between  head  and  tail  nodes  is
              unimportant.  If such an edge already exists, it is returned.

       subedge(g : graph_t, e : edge_t) : edge_t
              inserts the edge e into the subgraph g. Returns the edge.

       isEdge(t : node_t, h : node_t, s : string) : edge_t
              looks  for  an edge with tail node t, head node h and name s. If
              the graph is undirected, the distinction between head  and  tail
              nodes  is  unimportant.  If such an edge exists, it is returned.
              Otherwise, NULL is returned.

       isEdge_sg(sg : graph_t, t : node_t, h : node_t, s : string) : edge_t
              looks for an edge with tail node t, head node h and  name  s  in
              (sub)graph  sg.  If  the  graph  is  undirected, the distinction
              between head and tail nodes is unimportant.   If  such  an  edge
              exists, it is returned. Otherwise, NULL is returned.

       isSubedge(g : graph_t, e : edge_t) : int
              returns  non-zero  if  edge  e  is  in  (sub)graph  sg,  or zero
              otherwise.

       fstout(n : node_t) : edge_t
              returns the first outedge of node n in the root graph.

       fstout_sg(sg : graph_t, n : node_t) : edge_t
              returns the first outedge of node n in (sub)graph sg.

       nxtout(e : edge_t) : edge_t
              returns the next outedge after e in the root graph.

       nxtout_sg(sg : graph_t, e : edge_t) : edge_t
              returns the next outedge after e in graph sg.

       fstin(n : node_t) : edge_t
              returns the first inedge of node n in the root graph.

       fstin_sg(sg : graph_t, n : node_t) : edge_t
              returns the first inedge of node n in graph sg.

       nxtin(e : edge_t) : edge_t
              returns the next inedge after e in the root graph.

       nxtin_sg(sg : graph_t, e : edge_t) : edge_t
              returns the next inedge after e in graph sg.

       fstedge(n : node_t) : edge_t
              returns the first edge of node n in the root graph.

       fstedge_sg(sg : graph_t, n : node_t) : edge_t
              returns the first edge of node n in graph sg.

       nxtedge(e : edge_t, node_t) : edge_t
              returns the next edge after e in the root graph.

       nxtedge_sg(sg : graph_t, e : edge_t, node_t) : edge_t
              returns the next edge after e in the graph sg.

   Graph I/O
       write(g : graph_t) : void
              prints g in dot format onto the output stream.

       writeG(g : graph_t, fname : string) : void
              prints g in dot format into the file fname.

       fwriteG(g : graph_t, fd : int) : void
              prints g in dot format onto  the  open  stream  denoted  by  the
              integer fd.

       readG(fname : string) : graph_t
              returns a graph read from the file fname. The graph should be in
              dot format. If no graph can be read, NULL is returned.

       freadG(fd : int) : graph_t
              returns the next graph read from the open  stream  fd.   Returns
              NULL at end of file.

   Graph miscellany
       delete(g : graph_t, x : obj_t) : void
              deletes  object x from graph g.  If g is NULL, the function uses
              the root graph of x.  If x is a graph or subgraph, it is  closed
              unless x is locked.

       isIn(g : graph_t, x : obj_t) : int
              returns true if x is in subgraph g.

       clone(g : graph_t, x : obj_t) : obj_t
              creates  a clone of object x in graph g.  In particular, the new
              object has the same name/value attributes and structure  as  the
              original  object.   If  an object with the same key as x already
              exists, its attributes are overlaid by those of x and the object
              is   returned.   If  an  edge  is  cloned,  both  endpoints  are
              implicitly cloned.  If a graph is cloned, all nodes,  edges  and
              subgraphs  are  implicitly  cloned.   If  x is a graph, g may be
              NULL, in which case the cloned object will be a new root  graph.

       copy(g : graph_t, x : obj_t) : obj_t
              creates  a copy of object x in graph g, where the new object has
              the same name/value attributes as the original  object.   If  an
              object with the same key as x already exists, its attributes are
              overlaid by those of x and the object is  returned.   Note  that
              this  is  a  shallow  copy.  If x is a graph, none of its nodes,
              edges or subgraphs are copied into the new graph.  If  x  is  an
              edge,  the  endpoints are created if necessary, but they are not
              cloned.  If x is a graph, g may  be  NULL,  in  which  case  the
              cloned object will be a new root graph.

       copyA(src : obj_t, tgt : obj_t) : int
              copies  the  attributes of object src to object tgt, overwriting
              any attribute values tgt may initially have.

       induce(g : graph_t) : void
              extends g to its node‐induced subgraph  extension  in  its  root
              graph.

       hasAttr(src : obj_t, name : string) : int
              returns  non-zero  if  object src has an attribute whose name is
              name. It returns 0 otherwise.

       isAttr(g : graph_t, kind : string, name : string) : int
              returns non-zero if an attribute name has been defined in g  for
              objects  of  the  given kind. For nodes, edges, and graphs, kind
              should be  "N",  "E",  and  "G",  respectively.   It  returns  0
              otherwise.

       aget(src : obj_t, name : string) : string
              returns  the  value  of  attribute  name  in object src. This is
              useful for those cases when  name  conflicts  with  one  of  the
              keywords  such  as  "head"  or "root".  If the attribute has not
              been declared in the graph, the function will initialize it with
              a default value of "". To avoid this, one should use the hasAttr
              or isAttr function to check that the attribute exists.

       aset(src : obj_t, name : string, value : string) : int
              sets the value  of  attribute  name  in  object  src  to  value.
              Returns 0 on success, non‐zero on failure. See aget above.

       getDflt(g : graph_t, kind : string, name : string) : string
              returns  the  default value of attribute name in objects in g of
              the given kind. For nodes, edges, and  graphs,  kind  should  be
              "N",  "E", and "G", respectively.  If the attribute has not been
              declared in the graph, the function will initialize  it  with  a
              default  value  of  "". To avoid this, one should use the isAttr
              function to check that the attribute exists.

       setDflt(g : graph_t, kind : string, name : string, value  :  string)  :
       int
              sets the default value of attribute name to value in objects  in
              g  of  the given kind. For nodes, edges, and graphs, kind should
              be "N", "E", and  "G",  respectively.   Returns  0  on  success,
              non‐zero on failure. See getDflt above.

       fstAttr(g : graph_t, kind : string) : string
              returns  the  name of the first attribute of objects in g of the
              given kind. For nodes, edges, and graphs, kind  should  be  "N",
              "E",  and  "G",  respectively.   If there are no attributes, the
              string "" is returned.

       nxtAttr(g : graph_t, kind : string, name : string) : string
              returns the name of the next attribute of objects in  g  of  the
              given  kind after the attribute name.  The argument name must be
              the name of an existing attribute;  it  will  typically  be  the
              return  value  of  an  previous call to fstAttr or nxtAttr.  For
              nodes, edges, and graphs, kind should  be  "N",  "E",  and  "G",
              respectively.  If there are no attributes left, the string "" is
              returned.

       compOf(g : graph_t, n : node_t) : graph_t
              returns the connected component of the graph g  containing  node
              n, as a subgraph of g. The subgraph only contains the nodes. One
              can use induce to add the edges. The function fails and  returns
              NULL  if  n is not in g. Connectivity is based on the underlying
              undirected graph of g.

       kindOf(obj : obj_t) : string
              returns an indication of  what  kind  of  graph  object  is  the
              argument.   For  nodes,  edges, and graphs, it returns should be
              "N", "E", and "G", respectively.

       lock(g : graph_t, v : int) : int
              implements graph locking on root graphs. If  the  integer  v  is
              positive,  the  graph is set so that future calls to delete have
              no immediate effect.  If v is zero, the graph  is  unlocked.  If
              there  has  been a call to delete the graph while it was locked,
              the graph is closed.  If v is negative, nothing is done.  In all
              cases, the previous lock value is returned.

   Strings
       sprintf(fmt : string, ...) : string
              returns  the  string resulting from formatting the values of the
              expressions occurring  after  fmt  according  to  the  printf(3)
              format fmt

       gsub(str : string, pat : string) : string

       gsub(str : string, pat : string, repl : string) : string
              returns str with all substrings matching pat deleted or replaced
              by repl, respectively.

       sub(str : string, pat : string) : string

       sub(str : string, pat : string, repl : string) : string
              returns str with the leftmost substring matching pat deleted  or
              replaced  by  repl, respectively. The characters ’^’ and ’$’ may
              be used at the beginning and end, respectively, of pat to anchor
              the pattern to the beginning or end of str.

       substr(str : string, idx : int) : string

       substr(str : string, idx : int, len : int) : string
              returns the substring of str starting at position idx to the end
              of the string or of length len, respectively.   Indexing  starts
              at  0.  If  idx is negative or idx is greater than the length of
              str, a fatal error occurs. Similarly, in the second case, if len
              is  negative  or  idx + len is greater than the length of str, a
              fatal error occurs.

       length(s : string) : int
              returns the length of the string s.

       index(s : string, t : string) : int

       rindex(s : string, t : string) : int
              returns the index  of  the  character  in  string  s  where  the
              leftmost  (rightmost)  copy of string t can be found, or -1 if t
              is not a substring of s.

       match(s : string, p : string) : int
              returns the index  of  the  character  in  string  s  where  the
              leftmost  match of pattern p can be found, or -1 if no substring
              of s matches p.

       toupper(s : string) : string
              returns a version of s with the alphabetic characters  converted
              to upper-case.

       tolower(s : string) : string
              returns  a version of s with the alphabetic characters converted
              to lower-case.

       canon(s : string) : string
              returns a version of s appropriate to be used as  an  identifier
              in a dot file.

       xOf(s : string) : string
              returns the string "x" if s has the form "x,y", where both x and
              y are numeric.

       yOf(s : string) : string
              returns the string "y" if s has the form "x,y", where both x and
              y are numeric.

       llOf(s : string) : string
              returns    the    string   "llx,lly"   if   s   has   the   form
              "llx,lly,urx,ury", where all of  llx,  lly,  urx,  and  ury  are
              numeric.

       urOf(s)
              urOf(s  : string) : string returns the string "urx,ury" if s has
              the form "llx,lly,urx,ury", where all of llx, lly, urx, and  ury
              are numeric.

       sscanf(s : string, fmt : string, ...) : int
              scans the string s, extracting values according to the sscanf(3)
              format fmt.  The values are stored in  the  addresses  following
              fmt,  addresses  having  the  form  &v, where v is some declared
              variable of the correct  type.   Returns  the  number  of  items
              successfully scanned.

       split(s : string, arr : array, seps : string) : int

       split(s : string, arr : array) : int

       tokens(s : string, arr : array, seps : string) : int

       tokens(s : string, arr : array) : int
              The  split  function  breaks the string s into fields, while the
              tokens function breaks the string into tokens.  A field consists
              of all non-separator characters between two separator characters
              or the beginning or end of the string. Thus, a field may be  the
              empty  string.  A  token  is  a maximal, non-empty substring not
              containing a separator character.  The separator characters  are
              those  given in the seps argument.  If seps is not provided, the
              default value is " \t\n".  The functions return  the  number  of
              fields or tokens.

              The  fields  and  tokens  are  stored in the argument array. The
              array must be string-valued and, if an index type is  specified,
              it must be int. The entries are indexed by consecutive integers,
              starting at 0. Any values already stored in the  array  will  be
              either  overwritten,  or  still  be  present  after the function
              returns.

   I/O
       print(...) : void
              print( expr, ...  )  prints  a  string  representation  of  each
              argument in turn onto stdout, followed by a newline.

       printf(fmt : string, ...) : int

       printf(fd : int, fmt : string, ...) : int
              prints  the  string  resulting from formatting the values of the
              expressions following fmt according to the printf(3) format fmt.
              Returns  0 on success.  By default, it prints on stdout.  If the
              optional integer fd is given, output  is  written  on  the  open
              stream associated with fd.

       scanf(fmt : string, ...) : int

       scanf(fd : int, fmt : string, ...) : int
              scans  in  values from an input stream according to the scanf(3)
              format fmt.  The values are stored in  the  addresses  following
              fmt,  addresses  having  the  form  &v, where v is some declared
              variable of the correct type.  By default, it reads from  stdin.
              If the optional integer fd is given, input is read from the open
              stream  associated  with  fd.   Returns  the  number  of   items
              successfully scanned.

       openF(s : string, t : string) : int
              opens  the  file  s  as  an  I/O  stream.  The string argument t
              specifies how the file is opened. The arguments are the same  as
              for the C function fopen(3).  It returns an integer denoting the
              stream, or -1 on error.

              As usual, streams 0, 1 and 2 are already open as stdin,  stdout,
              and  stderr,  respectively. Since gvpr may use stdin to read the
              input graphs, the user should avoid using this stream.

       closeF(fd : int) : int
              closes the open stream denoted by the integer fd.  Streams  0, 1
              and 2 cannot be closed.  Returns 0 on success.

       readL(fd : int) : string
              returns  the next line read from the input stream fd. It returns
              the empty string "" on  end  of  file.  Note  that  the  newline
              character is left in the returned string.

   Math
       exp(d : double) : double
              returns e to the dth power.

       log(d : double) : double
              returns the natural log of d.

       sqrt(d : double) : double
              returns the square root of the double d.

       pow(d : double, x : double) : double
              returns d raised to the xth power.

       cos(d : double) : double
              returns the cosine of d.

       sin(d : double) : double
              returns the sine of d.

       atan2(y : double, x : double) : double
              returns the arctangent of y/x in the range -pi to pi.

       MIN(y : double, x : double) : double
              returns the minimum of y and x.

       MAX(y : double, x : double) : double
              returns the maximum of y and x.

   Associative Arrays
       # arr : int
              returns the number of elements in the array arr.

       idx in arr : int
              returns  1  if  a  value has been set for index idx in the array
              arr.  It returns 0 otherwise.

       unset(v : array, IidxP) : int
              removes the item indexed by  idx.  It  returns  1  if  the  item
              existed, 0 otherwise.

       unset(v : array) : void
              re-initializes the array.

   Miscellaneous
       exit(v : int) : void
              causes gvpr to exit with the exit code v.

       system(cmd : string) : int
              provides  the standard C function system(3).  It executes cmd if
              the user’s shell environment, and returns the exit status of the
              shell.

       rand() : double
              returns a pseudo‐random double between 0 and 1.

       srand() : int

       srand(v : int) : int
              sets  a  seed  for  the  random  number  generator. The optional
              argument gives the seed; if it is omitted, the current  time  is
              used.  The  previous  seed  value  is  returned. srand should be
              called before any calls to rand.

       colorx(color : string, fmt : string) : string
              translates a  color  from  one  format  to  another.  The  color
              argument  should  be  a  color  in  one of the recognized string
              representations. The fmt value should be one of  "RGB",  "RGBA",
              "HSV", "HSVA", or "CMYK".  An empty string is returned on error.

BUILTIN VARIABLES
       gvpr provides certain special, built‐in variables, whose values are set
       automatically  by  gvpr  depending on the context. Except as noted, the
       user cannot modify their values.

       $ : obj_t
              denotes the current object (node, edge, graph) depending on  the
              context.  It is not available in BEGIN or END clauses.

       $F : string
              is the name of the current input file.

       $G : graph_t
              denotes  the  current graph being processed. It is not available
              in BEGIN or END clauses.

       $O : graph_t
              denotes  the  output  graph.  Before  graph  traversal,  it   is
              initialized  to  the target graph. After traversal and any END_G
              actions, if it refers  to  a  non‐empty  graph,  that  graph  is
              printed  onto  the  output stream.  It is only valid in N, E and
              END_G clauses.  The output graph may be set by the user.

       $T : graph_t
              denotes the current target graph. It is a subgraph of $G and  is
              available only in N, E and END_G clauses.

       $tgtname : string
              denotes  the name of the target graph.  By default, it is set to
              "gvpr_result".  If used multiple times during the  execution  of
              gvpr,  the name will be appended with an integer.  This variable
              may be set by the user.

       $tvroot : node_t
              indicates the starting  node  for  a  (directed  or  undirected)
              depth‐first  traversal  of  the  graph (cf. $tvtype below).  The
              default value is NULL for each input graph.

       $tvedge : edge_t
              For BFS and DFS traversals, this is set  to  the  edge  used  to
              arrive  at  the  current  node  or  edge.  At the beginning of a
              traversal, or for other traversal types, the value is NULL.

       $tvtype : tvtype_t
              indicates how gvpr traverses a graph. It can only  take  one  of
              the  constant  values  with  the  previx  "TV_" described below.
              TV_flat is the default.

              In the underlying graph library cgraph(3), edges  in  undirected
              graphs  are  given  an  arbitrary  direction.  This  is used for
              traversals, such as TV_fwd, requiring directed edges.

       ARGC : int
              denotes the  number  of  arguments  specified  by  the  -a  args
              command‐line argument.

       ARGV : string array
              denotes  the  array  of  arguments  specified  by  the  -a  args
              command‐line argument. The ith argument is given by ARGV[i].

BUILTIN CONSTANTS
       There are several symbolic constants defined by gvpr.

       NULL : obj_t
              a null object reference, equivalent to 0.

       TV_flat : tvtype_t
              a  simple,  flat  traversal,  with  graph  objects  visited   in
              seemingly arbitrary order.

       TV_ne : tvtype_t
              a traversal which first visits all of the nodes, then all of the
              edges.

       TV_en : tvtype_t
              a traversal which first visits all of the edges, then all of the
              nodes.

       TV_dfs : tvtype_t
       TV_postdfs : tvtype_t
       TV_prepostdfs : tvtype_t
              a  traversal  of  the  graph  using  a depth‐first search on the
              underlying undirected graph.  To do  the  traversal,  gvpr  will
              check  the  value of $tvroot. If this has the same value that it
              had previously (at the start, the previous value is  initialized
              to  NULL.),  gvpr  will  simply look for some unvisited node and
              traverse its connected component. On the other hand, if  $tvroot
              has changed, its connected component will be toured, assuming it
              has not been previously visited or,  if  $tvroot  is  NULL,  the
              traversal  will  stop. Note that using TV_dfs and $tvroot, it is
              possible to create an infinite loop.

              By default, the traversal is done in pre-order. That is, a  node
              is  visited  before  all of its unvisited edges. For TV_postdfs,
              all of a node’s unvisited edges are visited before the node. For
              TV_prepostdfs,  a node is visited twice, before and after all of
              its unvisited edges.

       TV_fwd : tvtype_t
       TV_postfwd : tvtype_t
       TV_prepostfwd : tvtype_t
              A traversal of the graph using a depth‐first search on the graph
              following  only  forward  arcs.   The  choice  of  roots for the
              traversal is the  same  as  described  for  TV_dfs  above.   The
              different  order  of  visitation specified by TV_fwd, TV_postfwd
              and TV_prepostfwd  are  the  same  as  those  specified  by  the
              analogous traversals TV_dfs, TV_postdfs and TV_prepostdfs.

       TV_rev : tvtype_t
       TV_postrev : tvtype_t
       TV_prepostrev : tvtype_t
              A traversal of the graph using a depth‐first search on the graph
              following only reverse  arcs.   The  choice  of  roots  for  the
              traversal  is  the  same  as  described  for  TV_dfs above.  The
              different order of visitation specified  by  TV_rev,  TV_postrev
              and  TV_prepostrev  are  the  same  as  those  specified  by the
              analogous traversals TV_dfs, TV_postdfs and TV_prepostdfs.

       TV_bfs : tvtype_t
              A traversal of the graph using a bread‐first search on the graph
              ignoring  edge  directions. See the item on TV_dfs above for the
              role of $tvroot.

EXAMPLES

              gvpr -iN[color=="blue"]file.dot

       Generate the node‐induced subgraph of all nodes with color blue.

              gvpr -cN[color=="blue"]{color = "red"}file.dot

       Make all blue nodes red.

              BEGIN { int n, e; int tot_n = 0; int tot_e = 0; }
              BEG_G {
                n = nNodes($G);
                e = nEdges($G);
                printf ("%d nodes %d edges %s0, n, e, $G.name);
                tot_n += n;
                tot_e += e;
              }
              END { printf ("%d nodes %d edges total0, tot_n, tot_e) }

       Version of the program gc.

              gvpr -c ""

       Equivalent to nop.

              BEG_G { graph_t g = graph ("merge", "S"); }
              E {
                node_t h = clone(g,$.head);
                node_t t = clone(g,$.tail);
                edge_t e = edge(t,h,"");
                e.weight = e.weight + 1;
              }
              END_G { $O = g; }

       Produces a  strict  version  of  the  input  graph,  where  the  weight
       attribute  of an edge indicates how many edges from the input graph the
       edge represents.

              BEGIN {node_t n; int deg[]}
              E{deg[head]++; deg[tail]++; }
              END_G {
                for (deg[n]) {
                  printf ("deg[%s] = %d0, n.name, deg[n]);
                }
              }

       Computes the degrees of nodes with edges.

ENVIRONMENT

       GPRPATH
              Colon‐separated list of directories to be searched to  find  the
              file specified by the -f option.

BUGS AND WARNINGS

       When  the  program is given as a command line argument, the usual shell
       interpretation takes place, which may affect some of the special  names
       in  gvpr.  To  avoid  this,  it  is  best to wrap the program in single
       quotes.

       As of 24 April 2008, gvpr switched to using  a  new,  underlying  graph
       library,  which uses the simpler model that there is only one copy of a
       node, not one copy for each  subgraph  logically  containing  it.  This
       means that iterators such as InxtnodeP cannot traverse a subgraph using
       just a node argument. For this reason, subgraph traversal requires  new
       functions  ending  in  "_sg",  which also take a subgraph argument. The
       versions without that suffix will always traverse the root graph.

       There is a single global scope, except for formal function  parameters,
       and  even these can interfere with the type system. Also, the extent of
       all variables  is  the  entire  life  of  the  program.   It  might  be
       preferable  for scope to reflect the natural nesting of the clauses, or
       for the program to at least reset locally declared variables.  For now,
       it is advisable to use distinct names for all variables.

       If  a  function ends with a complex statement, such as an IF statement,
       with each branch doing a return, type  checking  may  fail.   Functions
       should use a return at the end.

       The  expr  library  does  not  support string values of (char*)0.  This
       means we can’t distinguish between "" and (char*)0 edge keys.  For  the
       purposes  of  looking  up  and  creating  edges,  we translate "" to be
       (char*)0, since this latter value is necessary in order to look up  any
       edge with a matching head and tail.

       Related  to this, strings converted to integers act like char pointers,
       getting the value 0 or 1  depending  on  whether  the  string  consists
       solely of zeroes or not. Thus, the ((int)"2") evaluates to 1.

       The  language inherits the usual C problems such as dangling references
       and the confusion between ’=’ and ’==’.

AUTHOR

       Emden R. Gansner <erg@research.att.com>

SEE ALSO

       awk(1), gc(1), dot(1), nop(1), libexpr(3), libcgraph(3)

                                  3 July 2009