Re: Very confused about this.

"Florent Monnier [email protected] [ocaml_beginners]" <[email protected]> Mon, 24 Jul 2017 20:30:31 -0700
Newsgroups gmane.comp.lang.ocaml.beginners
Message-ID <CAE1DttDJgcu_wuBquniPDcXFgdp17J6=VLvAoNEcX_0R8wefaw@mail.gmail.com>
--6m-jHVLERNFLOhejZK3Drj3Hzu673s18e-tuWC6
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: quoted-printable

Hi,
Just create the functions first, and then set it into your type, just like =
this:
# let rec member x ls =3D
    match ls with
    | [] -> false
    | head::tail ->
        if x =3D head then true
        else member x tail
  ;;
val member : 'a -> 'a list -> bool =3D <fun>
# let addElement x ls =3D
    if not (member x ls)
    then x :: ls
    else failwith "Cannot add element to set!" ;;
val addElement : 'a -> 'a list -> 'a list =3D <fun>
# { empty =3D [];
    mem =3D member;
    add =3D addElement;
  } ;;


--=20
2017-07-24 18:04 UTC=E2=88=9207:00, Douglas Lewit [email protected]
[ocaml_beginners] <[email protected]>:
> Hi everyone,
>
> So I'm working on this Klotski project, and I have to implement the
> following type:
>
> type ('a, 'set) set_operations =3D
> { empty : 'set ;
>    mem  : 'a -> 'set -> bool ;
>    add    : 'a -> 'set -> 'set ;
> }
>
> This is a project I'm doing for an independent study, but bear in mind my
> professor does not OCaml.  (Other than what I've shown him so far.)
>
> So here's the thing.  'set could be of type list, right?  That's probably
> the most intuitive way to implement a set--a list without any repeated
> elements.
> So I could just do
> *{ empty =3D [ ] ;*
> *   mem =3D let rec member x ls =3D match ls with *
> *                                                  |[ ]
> -> false *
> *                                                  |head :: tail     ->  =
if
> x =3D head *
> *
>     then true *
> *
>     else member x tail ;*
> *  (* Now here's the tricky part! *)*
> *   add =3D let addElement x ls =3D if not (member x ls) *
> *                                                then x :: ls *
> *                                                else failwith "Cannot ad=
d
> element to set!" ;*
> *}*
>
> It's tricky because "add" requires a function that refers to mem's
> function, which hasn't even been defined in memory yet!!!  How can I work
> around that?  Do record objects in OCaml have some type of "this" (Java
> style) or "self" (Python style) constructor?  Thanks for the feedback.
>
> Best,
>
> Douglas.
>
> P.S.  Here I'm also assuming that functions can serve as record fields,
> although I must confess that I have never seen that before.  If someone c=
an
> help me get this type working, that would be GREAT!!!  The type itself
> compiles, but I need to understand how to create instances of this type.
> Right now I'm a little lost with that.  I appreciate the help.
>

--6m-jHVLERNFLOhejZK3Drj3Hzu673s18e-tuWC6
Content-Type: text/html; charset=UTF-8
Content-Transfer-Encoding: quoted-printable




<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/htm=
l4/strict.dtd">
<html>
<head>
</head>






=20
<body style=3D"background-color: #fff;">
<span style=3D"display:none">&nbsp;</span>

<!--~-|**|PrettyHtmlStartT|**|-~-->
<div id=3D"ygrp-mlmsg" style=3D"position:relative;">
  <div id=3D"ygrp-msg" style=3D"z-index: 1;">
<!--~-|**|PrettyHtmlEndT|**|-~-->

    <div id=3D"ygrp-text" >
=20=20=20=20=20=20
=20=20=20=20=20=20
      <p>Hi,<br>
Just create the functions first, and then set it into your type, just like =
this:<br>
# let rec member x ls =3D<br>
    match ls with<br>
    | [] -&gt; false<br>
    | head::tail -&gt;<br>
        if x =3D head then true<br>
        else member x tail<br>
  ;;<br>
val member : &#39;a -&gt; &#39;a list -&gt; bool =3D &lt;fun&gt;<br>
# let addElement x ls =3D<br>
    if not (member x ls)<br>
    then x :: ls<br>
    else failwith &quot;Cannot add element to set!&quot; ;;<br>
val addElement : &#39;a -&gt; &#39;a list -&gt; &#39;a list =3D &lt;fun&gt;=
<br>
# { empty =3D [];<br>
    mem =3D member;<br>
    add =3D addElement;<br>
  } ;;<br>
<br>
-- <br>
2017-07-24 18:04 UTC=E2=88=9207:00, Douglas Lewit [email protected]<br>
[ocaml_beginners] &lt;[email protected]&gt;:<br>
&gt; Hi everyone,<br>
&gt;<br>
&gt; So I&#39;m working on this Klotski project, and I have to implement th=
e<br>
&gt; following type:<br>
&gt;<br>
&gt; type (&#39;a, &#39;set) set_operations =3D<br>
&gt; { empty : &#39;set ;<br>
&gt;    mem  : &#39;a -&gt; &#39;set -&gt; bool ;<br>
&gt;    add    : &#39;a -&gt; &#39;set -&gt; &#39;set ;<br>
&gt; }<br>
&gt;<br>
&gt; This is a project I&#39;m doing for an independent study, but bear in =
mind my<br>
&gt; professor does not OCaml.  (Other than what I&#39;ve shown him so far.=
)<br>
&gt;<br>
&gt; So here&#39;s the thing.  &#39;set could be of type list, right?  That=
&#39;s probably<br>
&gt; the most intuitive way to implement a set--a list without any repeated=
<br>
&gt; elements.<br>
&gt; So I could just do<br>
&gt; *{ empty =3D [ ] ;*<br>
&gt; *   mem =3D let rec member x ls =3D match ls with *<br>
&gt; *                                                  |[ ]<br>
&gt; -&gt; false *<br>
&gt; *                                                  |head :: tail     -=
&gt;  if<br>
&gt; x =3D head *<br>
&gt; *<br>
&gt;     then true *<br>
&gt; *<br>
&gt;     else member x tail ;*<br>
&gt; *  (* Now here&#39;s the tricky part! *)*<br>
&gt; *   add =3D let addElement x ls =3D if not (member x ls) *<br>
&gt; *                                                then x :: ls *<br>
&gt; *                                                else failwith &quot;C=
annot add<br>
&gt; element to set!&quot; ;*<br>
&gt; *}*<br>
&gt;<br>
&gt; It&#39;s tricky because &quot;add&quot; requires a function that refer=
s to mem&#39;s<br>
&gt; function, which hasn&#39;t even been defined in memory yet!!!  How can=
 I work<br>
&gt; around that?  Do record objects in OCaml have some type of &quot;this&=
quot; (Java<br>
&gt; style) or &quot;self&quot; (Python style) constructor?  Thanks for the=
 feedback.<br>
&gt;<br>
&gt; Best,<br>
&gt;<br>
&gt; Douglas.<br>
&gt;<br>
&gt; P.S.  Here I&#39;m also assuming that functions can serve as record fi=
elds,<br>
&gt; although I must confess that I have never seen that before.  If someon=
e can<br>
&gt; help me get this type working, that would be GREAT!!!  The type itself=
<br>
&gt; compiles, but I need to understand how to create instances of this typ=
e.<br>
&gt; Right now I&#39;m a little lost with that.  I appreciate the help.<br>
&gt;<br>
</p>

    </div>
=20=20=20=20=20

    <!--~-|**|PrettyHtmlStart|**|-~-->
    <div style=3D"color: #fff; height: 0;">__._,_.___</div>

=20=20=20=20=20=20=20=20=20=20
=20=20
=20

=20=20=20=20
    <div style=3D"clear:both"> </div>

    <div id=3D"fromDMARC" style=3D"margin-top: 10px;">
        <hr style=3D"height:2px ; border-width:0; color:#E3E3E3; background=
-color:#E3E3E3;">
        Posted by: Florent Monnier &lt;[email protected]&gt;       =
 <hr style=3D"height:2px ; border-width:0; color:#E3E3E3; background-color:=
#E3E3E3;">
     </div>
    <div style=3D"clear:both"> </div>

    <table cellspacing=3D4px style=3D"margin-top: 10px; margin-bottom: 10px=
; color: #2D50FD;">
      <tbody>
        <tr>
          <td style=3D"font-size: 12px; font-family: arial; font-weight: bo=
ld; padding: 7px 5px 5px;"  >
                          <a style=3D"text-decoration: none; color: #2D50FD=
" href=3D"https://groups.yahoo.com/neo/groups/ocaml_beginners/conversations=
/messages/14829;_ylc=3DX3oDMTJxaWVmbjZzBF9TAzk3MzU5NzE0BGdycElkAzQ5OTkxOTQE=
Z3Jwc3BJZAMxNzA1MDA2NzY0BG1zZ0lkAzE0ODI5BHNlYwNmdHIEc2xrA3JwbHkEc3RpbWUDMTU=
wMDk1NzA5Nw--?act=3Dreply&messageNum=3D14829">Reply via web post</a>
                      </td>
          <td>&bull;</td>
          <td style=3D"font-size: 12px; font-family: arial; padding: 7px 5p=
x 5px;" >
            <a href=3D"mailto:[email protected]?subject=3DRe%3A%20%=
22ocaml_beginners%22%3A%3A%5B%5D%20Very%20confused%20about%20this%2E" style=
=3D"text-decoration: none; color: #2D50FD;">
               Reply to sender            </a>
          </td>
          <td>&bull;</td>
          <td style=3D"font-size: 12px; font-family: arial; padding: 7px 5p=
x 5px;">
            <a href=3D"mailto:[email protected]?subject=3DRe%=
3A%20%22ocaml_beginners%22%3A%3A%5B%5D%20Very%20confused%20about%20this%2E"=
 style=3D"text-decoration: none; color: #2D50FD">
              Reply to group            </a>
          </td>
          <td>&bull;</td>
          <td style=3D"font-size: 12px; font-family: arial; padding: 7px 5p=
x 5px;" >
            <a href=3D"https://groups.yahoo.com/neo/groups/ocaml_beginners/=
conversations/newtopic;_ylc=3DX3oDMTJlZ3E0YTZuBF9TAzk3MzU5NzE0BGdycElkAzQ5O=
TkxOTQEZ3Jwc3BJZAMxNzA1MDA2NzY0BHNlYwNmdHIEc2xrA250cGMEc3RpbWUDMTUwMDk1NzA5=
Nw--" style=3D"text-decoration: none; color: #2D50FD">Start a New Topic</a>
          </td>
          <td>&bull;</td>
          <td style=3D"font-size: 12px; font-family: arial; padding: 7px 5p=
x 5px;color: #2D50FD;" >
                            <a href=3D"https://groups.yahoo.com/neo/groups/=
ocaml_beginners/conversations/topics/14828;_ylc=3DX3oDMTM2cHRjNHBuBF9TAzk3M=
zU5NzE0BGdycElkAzQ5OTkxOTQEZ3Jwc3BJZAMxNzA1MDA2NzY0BG1zZ0lkAzE0ODI5BHNlYwNm=
dHIEc2xrA3Z0cGMEc3RpbWUDMTUwMDk1NzA5NwR0cGNJZAMxNDgyOA--" style=3D"text-dec=
oration: none; color: #2D50FD;">Messages in this topic</a>
                (2)
                      </td>
        </tr>
      </tbody>
    </table>

=20=20=20=20=20=20=20=20
<div id=3D"megaphoneModule">
            <hr style=3D"height:2px ; border-width:0; color:#E3E3E3; backgr=
ound-color:#E3E3E3;">
        <div>
	     <div class=3D"stream" style=3D"margin-bottom:10px;">
        <div style=3D"background-color:white;">
            <div class=3D"sn-img" style=3D"display:inline;"><img name=3D"tn=
_file" style=3D"padding:0px 10px;vertical-align:top;margin-top:5px;" src=3D=
"https://s.yimg.com/ru/static/images/yg/img/megaphone/1464031581_phpFA8bON"=
 height=3D"82" width=3D"82"></div>
            <div class=3D"mod-txt" style=3D"display:inline-block;">
                <a rel=3D"nofollow" name=3D"sub_url" target=3D"_blank" href=
=3D"https://yho.com/1wwmgg" style=3D"color:#0000FF;display:block;margin-lef=
t:5px;text-decoration:none;"><span style=3D"font-size:15px;">Have you tried=
 the highest rated email app?</span></a>
                <div style=3D"max-width:530px;padding:2px 5px;">With 4.5 st=
ars in iTunes, the Yahoo Mail app is the highest rated email app on the mar=
ket. What are you waiting for? Now you can access all your inboxes (Gmail, =
Outlook, AOL and more) in one place. Never delete an email again with 1000G=
B of free cloud storage.</div>
            </div>
        </div>
    </div>        </div>=20=20
=20=20=20=20=20
    <hr style=3D"height:2px ; border-width:0; color:#E3E3E3; background-col=
or:#E3E3E3;">
</div>

<!------- Start Nav Bar ------>


    <div id=3D"ygrp-grfd" style=3D"font-family: Verdana; font-size: 12px; p=
adding: 15px 0;">
=20=20=20=20=20=20
<!-- |**|begin egp html banner|**| -->

      Archives up to December 31, 2011 are also downloadable at <a href=3D"=
http://www.connettivo.net/cntprojects/ocaml_beginners">http://www.connettiv=
o.net/cntprojects/ocaml_beginners</a><BR>
The archives of the very official ocaml list (the seniors' one) can be foun=
d at <a href=3D"http://caml.inria.fr">http://caml.inria.fr</a><BR>
Attachments are banned and you're asked to be polite, avoid flames etc.    =
=20=20
<!-- |**|end egp html banner|**| -->

    </div>
=20=20

=20

<!-- |**|begin egp html banner|**| -->
<div id=3D"ygrp-vital" style=3D"background-color: #f2f2f2; font-family: Ver=
dana; font-size: 10px; margin-bottom: 10px; padding: 10px;">

    <span id=3D"vithd" style=3D"font-weight: bold; color: #333; text-transf=
orm: uppercase; "><a href=3D"https://groups.yahoo.com/neo/groups/ocaml_begi=
nners/info;_ylc=3DX3oDMTJlb2h2bzhqBF9TAzk3MzU5NzE0BGdycElkAzQ5OTkxOTQEZ3Jwc=
3BJZAMxNzA1MDA2NzY0BHNlYwN2dGwEc2xrA3ZnaHAEc3RpbWUDMTUwMDk1NzA5Nw--" style=
=3D"text-decoration: none;">Visit Your Group</a></span>

     <ul style=3D"list-style-type: none; margin: 0; padding: 0; display: in=
line;">
                                                    </ul>
  </div>


<div id=3D"ft" style=3D"font-family: Arial; font-size: 11px; margin-top: 5p=
x; padding: 0 2px 0 0; clear: both;">
  <a href=3D"https://groups.yahoo.com/neo;_ylc=3DX3oDMTJkbzI1Mmk4BF9TAzk3Mz=
U5NzE0BGdycElkAzQ5OTkxOTQEZ3Jwc3BJZAMxNzA1MDA2NzY0BHNlYwNmdHIEc2xrA2dmcARzd=
GltZQMxNTAwOTU3MDk3" style=3D"float: left;"><img src=3D"http://l.yimg.com/r=
u/static/images/yg/img/email/new_logo/logo-groups-137x15.png" height=3D"15"=
 width=3D"137" alt=3D"Yahoo! Groups" style=3D"border: 0;"/></a>
  <div style=3D"color: #747575; float: right;"> &bull; <a href=3D"https://i=
nfo.yahoo.com/privacy/us/yahoo/groups/details.html" style=3D"text-decoratio=
n: none;">Privacy</a> &bull; <a href=3D"mailto:ocaml_beginners-unsubscribe@=
yahoogroups.com?subject=3DUnsubscribe" style=3D"text-decoration: none;">Uns=
ubscribe</a> &bull; <a href=3D"https://info.yahoo.com/legal/us/yahoo/utos/t=
erms/" style=3D"text-decoration: none;">Terms of Use</a> </div>
</div>
<br>

<!-- |**|end egp html banner|**| -->

  </div> <!-- ygrp-msg -->

=20
  <!-- Sponsor -->
  <!-- |**|begin egp html banner|**| -->
  <div id=3D"ygrp-sponsor" style=3D"width:160px; float:right; clear:none; m=
argin:0 0 25px 0; background: #fff;">

<!-- Start Recommendations -->
<div id=3D"ygrp-reco">
     </div>
<!-- End Recommendations -->



  </div>   <!-- |**|end egp html banner|**| -->

  <div style=3D"clear:both; color: #FFF; font-size:1px;">.</div>
</div>

  <img src=3D"http://geo.yahoo.com/serv?s=3D97359714/grpId=3D4999194/grpspI=
d=3D1705006764/msgId=3D14829/stime=3D1500957097" width=3D"1" height=3D"1"> =
<br>

<img src=3D"http://y.analytics.yahoo.com/fpc.pl?ywarid=3D515FB27823A7407E&a=
=3D10001310322279&js=3Dno&resp=3Dimg&cf12=3DCP" width=3D"1" height=3D"1">=20

<div style=3D"color: #fff; height: 0;">__,_._,___</div>
<!--~-|**|PrettyHtmlEnd|**|-~-->

</body>

<!--~-|**|PrettyHtmlStart|**|-~-->
<head>
  <style type=3D"text/css">
  <!--
  #ygrp-mkp {
  border: 1px solid #d8d8d8;
  font-family: Arial;
  margin: 10px 0;
  padding: 0 10px;
}

#ygrp-mkp hr {
  border: 1px solid #d8d8d8;
}

#ygrp-mkp #hd {
  color: #628c2a;
  font-size: 85%;
  font-weight: 700;
  line-height: 122%;
  margin: 10px 0;
}

#ygrp-mkp #ads {
  margin-bottom: 10px;
}

#ygrp-mkp .ad {
  padding: 0 0;
}

#ygrp-mkp .ad p {
  margin: 0;
}

#ygrp-mkp .ad a {
  color: #0000ff;
  text-decoration: none;
}
  #ygrp-sponsor #ygrp-lc {
  font-family: Arial;
}

#ygrp-sponsor #ygrp-lc #hd {
  margin: 10px 0px;
  font-weight: 700;
  font-size: 78%;
  line-height: 122%;
}

#ygrp-sponsor #ygrp-lc .ad {
  margin-bottom: 10px;
  padding: 0 0;
}

  #actions {
    font-family: Verdana;
    font-size: 11px;
    padding: 10px 0;
  }

  #activity {
    background-color: #e0ecee;
    float: left;
    font-family: Verdana;
    font-size: 10px;
    padding: 10px;
  }

  #activity span {
    font-weight: 700;
  }

  #activity span:first-child {
    text-transform: uppercase;
  }

  #activity span a {
    color: #5085b6;
    text-decoration: none;
  }

  #activity span span {
    color: #ff7900;
  }

  #activity span .underline {
    text-decoration: underline;
  }

  .attach {
    clear: both;
    display: table;
    font-family: Arial;
    font-size: 12px;
    padding: 10px 0;
    width: 400px;
  }

  .attach div a {
    text-decoration: none;
  }

  .attach img {
    border: none;
    padding-right: 5px;
  }

  .attach label {
    display: block;
    margin-bottom: 5px;
  }

  .attach label a {
    text-decoration: none;
  }
=20=20
  blockquote {
    margin: 0 0 0 4px;
  }

  .bold {
    font-family: Arial;
    font-size: 13px;
    font-weight: 700;
  }

  .bold a {
    text-decoration: none;
  }

  dd.last p a {
    font-family: Verdana;
    font-weight: 700;
  }

  dd.last p span {
    margin-right: 10px;
    font-family: Verdana;
    font-weight: 700;
  }

  dd.last p span.yshortcuts {
    margin-right: 0;
  }

  div.attach-table div div a {
    text-decoration: none;
  }

  div.attach-table {
    width: 400px;
  }

  div.file-title a, div.file-title a:active, div.file-title a:hover, div.fi=
le-title a:visited {
    text-decoration: none;
  }

  div.photo-title a, div.photo-title a:active, div.photo-title a:hover, div=
.photo-title a:visited {
    text-decoration: none;
  }

  div#ygrp-mlmsg #ygrp-msg p a span.yshortcuts {
    font-family: Verdana;
    font-size: 10px;
    font-weight: normal;
  }

  .green {
    color: #628c2a;
  }

  .MsoNormal {
    margin: 0 0 0 0;
  }

  o {
    font-size: 0;
  }

  #photos div {
    float: left;
    width: 72px;
  }

  #photos div div {
    border: 1px solid #666666;
    height: 62px;
    overflow: hidden;
    width: 62px;
  }

  #photos div label {
    color: #666666;
    font-size: 10px;
    overflow: hidden;
    text-align: center;
    white-space: nowrap;
    width: 64px;
  }

  #reco-category {
    font-size: 77%;
  }

  #reco-desc {
    font-size: 77%;
  }

  .replbq {
    margin: 4px;
  }

  #ygrp-actbar div a:first-child {
   /* border-right: 0px solid #000;*/
    margin-right: 2px;
    padding-right: 5px;
  }

  #ygrp-mlmsg {
    font-size: 13px;
    font-family: Arial, helvetica,clean, sans-serif;
    *font-size: small;
    *font: x-small;
  }

  #ygrp-mlmsg table {
    font-size: inherit;
    font: 100%;
  }

  #ygrp-mlmsg select, input, textarea {
    font: 99% Arial, Helvetica, clean, sans-serif;
  }

  #ygrp-mlmsg pre, code {
    font:115% monospace;
    *font-size:100%;
  }

  #ygrp-mlmsg * {
    line-height: 1.22em;
  }

  #ygrp-mlmsg #logo {
    padding-bottom: 10px;
  }


  #ygrp-msg p a {
    font-family: Verdana;
  }

  #ygrp-msg p#attach-count span {
    color: #1E66AE;
    font-weight: 700;
  }

  #ygrp-reco #reco-head {
    color: #ff7900;
    font-weight: 700;
  }

  #ygrp-reco {
    margin-bottom: 20px;
    padding: 0px;
  }

  #ygrp-sponsor #ov li a {
    font-size: 130%;
    text-decoration: none;
  }

  #ygrp-sponsor #ov li {
    font-size: 77%;
    list-style-type: square;
    padding: 6px 0;
  }=20

  #ygrp-sponsor #ov ul {
    margin: 0;
    padding: 0 0 0 8px;
  }

  #ygrp-text {
    font-family: Georgia;
  }

  #ygrp-text p {
    margin: 0 0 1em 0;
  }

  #ygrp-text tt {
    font-size: 120%;
  }

  #ygrp-vital ul li:last-child {
    border-right: none !important;=20
  }=20
  -->
  </style>
</head>

<!--~-|**|PrettyHtmlEnd|**|-~-->
</html>
<!-- end group email -->


--6m-jHVLERNFLOhejZK3Drj3Hzu673s18e-tuWC6--