Source file fcn_util.icn
#<p>
# Provides some useful utilities for mimicking some functional
# language elements
#</p>
#<p>
# Author: Kevin Wampler (kevin@tapestry.tucson.az.us)
# Additional code added by Steve Wampler (sbw@tapestry.tucson.az.us)
#</p>
#<p>
# <i>This file is in the public domain.</i>
#</p>

package lang
invocable all

#<p>
# Compose multiple single-argument functions into a
#   new function.  The composite functions are evaluated
#   right-to-left.
#</p>
#<p>
#Examples:
#<p>
#Given:
#<pre>
#   h := compose(sqrt, abs)
#   k := compose(integer, sqrt, ord)
#   g := compose(h, k)
#</pre>
#the call <tt>g("1")</tt> is equivalent to:
#<pre>
#   sqrt(abs(integer(sqrt(ord("1")))))
#</pre>
#</p>
#<p>
#Any Unicon entity that can be evaluated using
#the standard single-argument function call syntax
#can be composed.  E.g. Given
#<pre>
#   m := compose(sqrt, closure("^", 2, Arg))
#</pre>
#The call <tt>m(3.5)</tt> is equivalent to:
#<pre>
#   sqrt(2^3.5)
#<pre>
#</p>
procedure compose(fL[])
   fL := ::reverse(fL)
   return makeProc { {saveSource := &source
                       repeat {
                           x := (x@saveSource)[1]
                           saveSource := &source
                           every f := !fL do x := f(x)
                           }
                      }
                    }
end

#<p>
#  A closure binds some function parameters at definition time,
#    leaving others unbound until invocation.  This procedure
#    defines a closure based on a function and a partial argument
#    list.  Unbound parameters are marked with instances of the
#    <tt>Arg</tt> record constructor (note that the constructor is
#    <i>not</i> called, it is simply a marker).  Unbound parameters
#    may be bound at the point of call by providing the values
#    (in order) as arguments.  Missing unbound parameters are replaced by
#    <tt>&null</tt>.  Extra arguments are appended.
#<p>
#<p>
# Sample uses:
# <pre>
#<pre>
#    h := closure("^",Arg, 2)      # x^2
#    h := closure("^",2, Arg)      # 2^x
#    h := closure("^",2)           # also 2^x
#</pre>
#</p>
procedure closure(f,paramList[])
   # Produce the new, single-argument 'procedure'
   return makeProc{
        {saveSource := &source
         repeat {
             x := (x@saveSource)    # Synchronization point
             saveSource := &source

             # Construct the new argument list, binding unbound parameters
             argList := []
             every arg := !paramList do {
                if arg === Arg then {   # Replace unbound parameter
                    ::put(argList, ::get(x) | &null) #    with argument
                    }
                else ::put(argList, arg)           # Use bound parameter
                }
             every ::put(argList, !x)    # append extra arguments

             # Invoke the procedure
             x := f ! argList
             }
         }
        }
end

#<p>
#   A Closure object encapsulates a function and partial argument
#     list.  The missing arguments can be filled in at the point of call
#     using the call(args) method.  This is an alternative to the
#     <tt>closure</tt> procedure.j
#</p>
class Closure : Object (fcn)

   #<p>
   #   Call this Closure object with args as the missing parameters.
   #   Parameters that are still missing are set to &null.  Extra
   #   arguments are appended to the parameter list.
   #   <[generates results from invoking Closure with supplied arguments]>
   #</p>
   method call(args[])
      suspend doInvocation(fcn,args)
   end

   #<p>
   # <b><i>Internal use only.</i></b>
   # Merges the argument list into the Closure object and then
   #  invokes it.  Missing arguments are mapped to &null.
   #</p>
   method doInvocation(flist, args)
      local i

      flist := ::copy(flist)
      /args := ::list()
      every i := 2 to *flist do
	 if flist[i] === Arg then
	    flist[i] := ::pop(args) | &null
      suspend invokeFcn ! (flist ||| args)
   end

#<p>
#   Given a function and a list of arguments, produces an Closure object.
#   Any argument whose value is Arg is filled at the point
#   of invocation using arguments to the calls() method.
#</p>
initially (f,       # function that closure is built around
	   args[]   # remaining parameters are arguments supplied
                    #  as part of closure
           )
   /args := []
   fcn := [f] ||| args
end

#<p>
# A PDCO for constructing anonymous 'functions' from co-expressions.
#   It preactivates the co-expression argument to advance it to
#   the first synchronization point.  This allows the first 'call'
#   to the anonymous function to pass a value in.  The standard
#   boiler plate for such anonymous functions is:
#<pre>
#    C := makeProc {
#             repeat {
#                 inVal := outVal@&source
#                 # Code for the function goes here, where
#                 #    any arguments are in the list inVal.
#                 #    The return result goes into outVal
#                 }
#             }
#</pre>
# Note that this example assumes that the resulting 'function' will be
#  called using <b>procedure invocation syntax</b>, as in:
#<pre>
#    a := C(3,4,5)
#</pre>
# which is equivalent to:
#<pre>
#    a := [3,4,5]@C
#</pre>
#</p>
procedure makeProc(A)
   if ::type(A) == "co-expression" then return (@A,A)    # Not called as PDCO!
   return (@A[1], A[1])
end

#<p>
#  <b>Deprecated.</b>
#  There is a potential conflict with the name of this procedure
#   and the method invoke in the Object class.  For example,
#   the assignment:   <tt>call := invoke</tt> seems to think that the
#   <tt>Object().invoke</tt> method is what's wanted, resulting in an error.
#  Consequently, you should use <tt>invokeFcn</tt> instead.
#</p>
procedure invoke(fcn, args[])
   suspend invokeFcn(fcn, args)
end

#<p>
# invokes its first argument with the parameters provided by the
# remaining arguments, returning the result.  Supported types are:
#<pre>
# procedure - calls fcn!args
#
# integer - calls fcn!args
#
# string - calls fcn!args
#
# list - calls fcn[1]!(fcn[2:0] ||| args)
#
# co-expression - calls args@fcn
#
# Closure - calls fcn.call ! args
#</pre>
# <[param fcn thing (see explanation) to invoke]>
# <[param args remaining arguments are missing parameters in closure]>
# <[generates results of evaluating <tt>fcn</tt>, using <tt>args</tt>
#    to fill in gaps in closure]>
#</p>
procedure invokeFcn(fcn, args[])
   local i
   /args := ::list()
   case ::type(fcn) of {
      "procedure" | "integer" | "string" : {
	 suspend fcn!args
	 }
      "list" : {
	 fcn := ::copy(fcn)
         f := ::pull(fcn)
	 every i := 1 to *fcn do {
	    if fcn[i] === Arg then {
	       fcn[i] := ::pop(args) | &null
	       }
	    }
	 suspend f!(fcn ||| args)
	 }
      "co-expression" : {
	 while suspend args@fcn
	 }
      default : {
	 if isClass(fcn) & fcn.instanceOf("lang::Closure") then {
	    suspend fcn.call ! args
	    }
	 else {
	    suspend fcn!args
	    }
	 }
      }
end

#<p>
#  A marker that can be used in a list of function
#  parameters to indicate a spot where an argument can be
#  mapped.  For example:
#<pre>
#     invokeFcn([f,3,Arg,5],4,6,7)
#</pre>
#  invokes f(3,4,5,6,7)
#</p>
#<p>
#   <i>This is a <i>singleton</i> class.  At most one instance
#   will ever exist, so the === test can be used.</i>
#</p>
record Arg()

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