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```MATCHCOLLECT                                         A. Sloman June 1983
Updated to use "!", Oct 1996

Some exercises using the pattern matcher and database facilities

-- Introduction
-- Defining findmid
-- Looking for individual items in a list which match a pattern
-- Defining findall
-- findalljobs
-- Using a global list of data: pfindall
-- Exercise: findvals
-- The database

-- Introduction -------------------------------------------------------

We have so far used predicates to find things in lists. We can also use the
matcher. I.e. we look for things which match a pattern. (See TEACH MATCHES,
and TEACH RESPOND).

We can also use the matcher to look for related items in a list. First an
example of the latter.

-- Defining findmid

Given a list of numbers and words, find every word, which has a number on
its left, and a number on its right.

define findmid(list) -> result;
lvars wd litem ritem rest;
[] -> result;
repeat
if list matches
![== ?litem:isinteger ?wd:isword ?ritem:isinteger ??rest]
then
[found ^litem ^wd ^ritem] =>        ;;; needed only for tracing
[^^result ^wd] -> result;
[^ritem  ^^rest] -> list;
else return()
endif;
endrepeat;
enddefine;

findmid([1 2 a b 3 c 4 d 5 6 e f 7 g 8 h i])=>
** [found 3 c 4]
** [found 4 d 5]
** [found 7 g 8]
** [c d g]

;;; Now show the workings by tracing the matcher
trace matches;
findmid([1 2 a b 3 c 4 d 5 6 e f 7 g 8 h i])=>
> matches [1 2 a b 3 c 4 d 5 6 e f 7 g 8 h i] [== ? <ID litem <undef>> : isinteger ? <ID
wd <undef>> : isword ? <ID ritem <undef>> : isinteger ?? <ID rest <undef>>]
< matches <true>
** [found 3 c 4]
> matches [4 d 5 6 e f 7 g 8 h i] [== ? <ID litem 3> : isinteger ? <ID wd c> : isword ?
<ID ritem 4> : isinteger ?? <ID rest [d 5 6 e f 7 g 8 h i]>]
< matches <true>
** [found 4 d 5]
> matches [5 6 e f 7 g 8 h i] [== ? <ID litem 4> : isinteger ? <ID wd d> : isword ? <ID
ritem 5> : isinteger ?? <ID rest [6 e f 7 g 8 h i]>]
< matches <true>
** [found 7 g 8]
> matches [8 h i] [== ? <ID litem 7> : isinteger ? <ID wd g> : isword ? <ID ritem 8> : isintege
r ?? <ID rest [h i]>]
< matches <false>
** [c d g]

untrace matches;

Here's a neater version using while:

define findmid(list) -> result;
lvars wd litem ritem rest;
[] -> result;
while list matches
![== ?litem:isinteger ?wd:isword ?ritem:isinteger ??rest]
do
[found ^litem ^wd ^ritem] =>        ;;; needed only for tracing
[^^result ^wd] -> result;
[^ritem  ^^rest] -> list;
endwhile;
enddefine;

;;; test it
findmid([1 2 a b 3 c 4 d 5 6 e f 7 g 8 h i])=>
** [found 3 c 4]
** [found 4 d 5]
** [found 7 g 8]
** [c d g]

-- Looking for individual items in a list which match a pattern -------------

Suppose we have a list of lists, and we want to find all the lists which
have a certain form. We could define a predicate to recognise lists of that
form, and use the ideas in teach collect. But often we can use the matcher
to do the recognising.

vars people;
[
[name fred age 95 sex male job [vice chancellor]]
[ age 62 name joe sex female job dustperson]
[sex female name mary age 22 job [prime minister] ]
[name suzy age 95 sex female job [vice chancellor]]
[name hugh age  2 sex male job professor]
[name ermintrude age 44 sex neuter ]
] -> people;

-- Defining findall ---------------------------------------------------

Define a procedure which can be given an attribute and a value for that
attribute, produce a list of all the people for whome the attribute has
that value.

define findall(data, att, val) -> list;
lvars record;
[] -> list;
for record in data do
if record matches [== ^att ^val ==  ] then
[^record ^^list] -> list;
endif
endfor;
enddefine;

findall(people,"age", 95) ==>
** [[name suzy age 95 sex female job [vice chancellor]]
[name fred age 95 sex male job [vice chancellor]]]

;;; Try that again after tracing matches.

;;; Then
untrace matches;

-- findalljobs --------------------------------------------------------

Finding all the jobs of such people could use the following:

define findalljobs(data, att, val) -> list;
lvars record job;
[] -> list;
for record in data do
if record matches [== ^att ^val ==  ] then
record --> ! [== job ?job ==];
[^job ^^list] -> list;
endif
endfor;
enddefine;

findalljobs(people,"age", 95) ==>
** [[vice chancellor] [vice chancellor]]

We can use foreach to do this sort of thing. foreach uses "it" the way we
used record, namely to refer to each thing which matched.

If you want to write something like

lvars item;
for item in list do
if item matches <pattern> then
<actions>
endif
endfor

This can be abbreviated to:
vars it;
foreach <pattern> in list do
<actions>                   ;;; use IT instead of ITEM
endforeach

Because the variable IT will be changed in this procedure, we should define it
as local, so as not to interfere with other procedures using this one and the
variable IT. Outside a procedure we use "vars". Inside the procedure use
"dlocal".

define findalljobs(data, att, val) -> list;
dlocal it;
lvars job;
[] -> list;
foreach [== ^att ^val ==] in data do
it --> ! [== job ?job ==];
[^job ^^list] -> list;
endforeach;
enddefine;

The line:
it --> ! [== job ?job ==];
means roughly
unless it matches ! [== job ?job ==] then
mishap(.....)
endunless;

findalljobs(people, "age", 95) =>
** [[vice chancellor] [vice chancellor]]

Now re-write FINDALL using FOREACH!

-- Using a global list of data: pfindall ------------------------------

If we are always going to use the same list of records, we can define a
version of findall which doesn't have an argument specifying which list
of records. E.g. if the list is always the one called PEOPLE then we can
define the procedure thus:

define pfindall(att,val) -> results;
dlocal it;
[] -> results;
foreach [== ^att ^val == ] in people do
[^it ^^results ] -> results;
endforeach
enddefine;

pfindall("sex", "female")==>

** [ [name suzy age 95 sex female job [vice chancellor]]
[sex female name mary age 22 job [prime minister]]
[age 62 name joe sex female job dustperson]]

-- Exercise: findvals -------------------------------------------------

Exercise: write a procedure call findvals, which looks in the list called
PEOPLE for the values associated with a given attribute.
E.g.
findvals("age") =>

should produce a list of all the ages

** [ 95 62 22 95 2 44]

The procedure could start something like:

define findvals(att) -> results;
dlocal it;
....
foreach [ .....<you do this>......] in .... do

Complete the definition. Test it. Produce a little report showing it at work,
and explaining what is going on.

-- The database -------------------------------------------------------------

The POP-11 database makes use of these mechanisms. E.g. the variable DATABASE
is used by ADD, REMOVE, PRESENT etc. the way the variable PEOPLE has been used
in the last few examples. That is DATABASE is a global variable, whose value
is assumed to be a list of lists (just like PEOPLE was), and PRESENT searches
the list, for an item matching a given pattern.

So PRESENT could be defined roughly as follows

define present(pattern) -> bool;
for it in database do
if it matches pattern then
true -> bool; return()
endif
endfor;
false -> bool;
enddefine;

people -> database;

vars name;
present([ == name ?name == age 95 ==]) =>
** <true>
it =>
** [name fred age 95 sex male job [vice chancellor]]
name =>
** fred