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RE: stream pattern [< pat=exp >] and extensions to ordinary patte rn m atching
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Date: -- (:)
From: Don Syme <dsyme@m...>
Subject: RE: stream pattern [< pat=exp >] and extensions to ordinary patte rn m atching

An abstract pattern matching language would also be quite useful when
implementing theorem provers and other applications that involve a lot of
term manipulations.  You would like to keep your terms abstract for obvious
software engineering reasons.

Cheers,
Don

-----Original Message-----
From: Manuel Fahndrich [mailto:maf@microsoft.com]
Sent: 07 May 1999 23:28
To: 'caml-list@inria.fr'
Subject: stream pattern [< pat=exp >] and extensions to ordinary pattern
m atching



Hi,

I just discovered the stream parser pattern [< pat = exp >] and I was
wondering why this kind of pattern is not allowed in regular patterns? It is
a very useful construct. For example:

Suppose I have some type ast for abstract syntax

type ast = 
	Constant of constant
         |  Binary of oper * ast * ast
         |  ...

where the type "constant" is not a datatype. There is however a function

refine : constant -> con

where 
type con = String of string
              | Int of int
              | ...

In order to use pattern matching to detect a string constant, I have to use
the following two auxiliary functions (which can be defined with what is
given):

isString : constant -> bool
getString : constant -> string

Then I can write:

	match a with
	   Constant c when isString c -> ... getString c ...

However, this is really not what I want, since I essentially test twice if c
is a string (i.e. getString needs an error case), and furthermore, my
operation 'refine' from above may be expensive. 

Now, in a paper ICFP'97 "Statically Checkable Pattern Abstraction", me and a
colleague have explored more expressive patterns in the context of ML. It
seems to me that the stream patterns in OCAML would allow me to do what we
described in this paper, except for the fact that they can only appear in
stream parsers.

Suppose I could write  pat = exp in the regular pattern language, with the
semantics that the value being matched is first passed to the function exp,
and the result is matched against pat:

Then I can write the above code as follows: I write a different auxilary
function to test whether a constant is a string that returns the string in
case it is one.

let isString2 c =
   match refine c with
      String s -> Some s
   |  _ -> None


Then my match becomes:

match a with
   Constant (Some s = isString2) -> .... s ....
|  ...


which is exactly what I want. I believe that with such an extension to
OCAML, the pattern language we explored in the ICFP paper could be expressed
completely (and more).  In our paper, we used syntax that swaps the
arguments and returns to pattern abstractions, so we could write the above
as

match a with
   Constant (isString2(s))  ->  ... s ...

Note that in this case the success/failure of the pattern is implicit,
whereas in the above case I used an option to encode it. Any pattern
abstraction could be encoded in this form, where the pattern bindings become
the argument to Some.

... Just a random thought, but it would be neat.


-Manuel Fahndrich