adding more varied examples, including an .atxt file

This commit is contained in:
Brandon
2014-01-25 17:55:28 -05:00
parent 7da9038e79
commit 877ee775a3
8 changed files with 931 additions and 0 deletions

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(* ****** ****** *)
//
// HX-2014-01
// CoYoneda Lemma:
//
(* ****** ****** *)
//
#include
"share/atspre_staload.hats"
//
(* ****** ****** *)
staload
"libats/ML/SATS/basis.sats"
staload
"libats/ML/SATS/list0.sats"
(* ****** ****** *)
staload _ = "libats/ML/DATS/list0.dats"
(* ****** ****** *)
sortdef ftype = type -> type
(* ****** ****** *)
infixr (->) ->>
typedef ->> (a:type, b:type) = a -<cloref1> b
(* ****** ****** *)
typedef
functor(F:ftype) =
{a,b:type} (a ->> b) ->> F(a) ->> F(b)
(* ****** ****** *)
typedef
list0 (a:type) = list0 (a)
extern
val functor_list0 : functor (list0)
(* ****** ****** *)
implement
functor_list0{a,b}
(f) = lam xs => list0_map<a><b> (xs, f)
(* ****** ****** *)
datatype
CoYoneda
(F:ftype, r:type) = {a:type} CoYoneda of (a ->> r, F(a))
// end of [CoYoneda]
(* ****** ****** *)
//
extern
fun CoYoneda_phi
: {F:ftype}functor(F) -> {r:type} (F (r) ->> CoYoneda (F, r))
extern
fun CoYoneda_psi
: {F:ftype}functor(F) -> {r:type} (CoYoneda (F, r) ->> F (r))
//
(* ****** ****** *)
implement
CoYoneda_phi(ftor) = lam (fx) => CoYoneda (lam x => x, fx)
implement
CoYoneda_psi(ftor) = lam (CoYoneda(f, fx)) => ftor (f) (fx)
(* ****** ****** *)
datatype int0 = I of (int)
datatype bool = True | False // boxed boolean
(* ****** ****** *)
//
fun bool2string
(x:bool): string =
(
case+ x of True() => "True" | False() => "False"
)
//
implement
fprint_val<bool> (out, x) = fprint (out, bool2string(x))
//
(* ****** ****** *)
fun int2bool (i: int0): bool =
let val+I(i) = i in if i > 0 then True else False end
(* ****** ****** *)
val myintlist0 = g0ofg1($list{int0}((I)1, (I)0, (I)1, (I)0, (I)0))
val myboolist0 = CoYoneda{list0,bool}{int0}(lam (i) => int2bool(i), myintlist0)
val myboolist0 = CoYoneda_psi{list0}(functor_list0){bool}(myboolist0)
(* ****** ****** *)
val ((*void*)) = fprintln! (stdout_ref, "myboolist0 = ", myboolist0)
(* ****** ****** *)
implement main0 () = ()
(* ****** ****** *)
(* end of [CoYonedaLemma.dats] *)

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(* ****** ****** *)
//
// HX-2013-11
//
// Implementing a variant of
// the problem of Dining Philosophers
//
(* ****** ****** *)
//
#include
"share/atspre_define.hats"
#include
"share/atspre_staload.hats"
//
(* ****** ****** *)
staload
UN = "prelude/SATS/unsafe.sats"
(* ****** ****** *)
staload "libc/SATS/stdlib.sats"
staload "libc/SATS/unistd.sats"
(* ****** ****** *)
staload "{$LIBATSHWXI}/teaching/mythread/SATS/channel.sats"
(* ****** ****** *)
staload _ = "libats/DATS/deqarray.dats"
staload _ = "{$LIBATSHWXI}/teaching/mythread/DATS/channel.dats"
(* ****** ****** *)
staload "./DiningPhil2.sats"
(* ****** ****** *)
implement phil_left (n) = n
implement phil_right (n) = (n+1) \nmod NPHIL
(* ****** ****** *)
//
extern
fun randsleep (n: intGte(1)): void
//
implement
randsleep (n) =
ignoret (sleep($UN.cast{uInt}(rand() mod n + 1)))
// end of [randsleep]
//
(* ****** ****** *)
implement
phil_think (n) =
{
val () = println! ("phil_think(", n, ") starts")
val () = randsleep (6)
val () = println! ("phil_think(", n, ") finishes")
}
(* ****** ****** *)
implement
phil_dine (n, lf, rf) =
{
val () = println! ("phil_dine(", n, ") starts")
val () = randsleep (3)
val () = println! ("phil_dine(", n, ") finishes")
}
(* ****** ****** *)
implement
phil_loop (n) = let
//
val () = phil_think (n)
//
val nl = phil_left (n)
val nr = phil_right (n)
//
val ch_lfork = fork_changet (nl)
val ch_rfork = fork_changet (nr)
//
val lf = channel_takeout (ch_lfork)
val () = println! ("phil_loop(", n, ") picks left fork")
//
val () = randsleep (2) // HX: try to actively induce deadlock
//
val rf = channel_takeout (ch_rfork)
val () = println! ("phil_loop(", n, ") picks right fork")
//
val () = phil_dine (n, lf, rf)
//
val ch_forktray = forktray_changet ()
val () = channel_insert (ch_forktray, lf)
val () = channel_insert (ch_forktray, rf)
//
in
phil_loop (n)
end // end of [phil_loop]
(* ****** ****** *)
implement
cleaner_wash (f) =
{
val f = fork_get_num (f)
val () = println! ("cleaner_wash(", f, ") starts")
val () = randsleep (1)
val () = println! ("cleaner_wash(", f, ") finishes")
}
(* ****** ****** *)
implement
cleaner_return (f) =
{
val n = fork_get_num (f)
val ch = fork_changet (n)
val () = channel_insert (ch, f)
}
(* ****** ****** *)
implement
cleaner_loop () = let
//
val ch = forktray_changet ()
val f0 = channel_takeout (ch)
//
val () = cleaner_wash (f0)
val () = cleaner_return (f0)
//
in
cleaner_loop ()
end // end of [cleaner_loop]
(* ****** ****** *)
dynload "DiningPhil2.sats"
dynload "DiningPhil2_fork.dats"
dynload "DiningPhil2_thread.dats"
(* ****** ****** *)
local
//
staload
"{$LIBATSHWXI}/teaching/mythread/SATS/mythread.sats"
//
in (* in of [local] *)
//
val () = mythread_create_cloptr (llam () => phil_loop (0))
val () = mythread_create_cloptr (llam () => phil_loop (1))
val () = mythread_create_cloptr (llam () => phil_loop (2))
val () = mythread_create_cloptr (llam () => phil_loop (3))
val () = mythread_create_cloptr (llam () => phil_loop (4))
//
val () = mythread_create_cloptr (llam () => cleaner_loop ())
//
end // end of [local]
(* ****** ****** *)
implement
main0 () =
{
//
val () = println! ("DiningPhil2: starting")
val ((*void*)) = while (true) ignoret (sleep(1))
//
} (* end of [main0] *)
(* ****** ****** *)
(* end of [DiningPhil2.dats] *)

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(* ****** ****** *)
//
// HX-2013-11
//
// Implementing a variant of
// the problem of Dining Philosophers
//
(* ****** ****** *)
#include
"share/atspre_define.hats"
(* ****** ****** *)
staload "{$LIBATSHWXI}/teaching/mythread/SATS/channel.sats"
(* ****** ****** *)
%{#
#define NPHIL 5
%} // end of [%{#]
#define NPHIL 5
(* ****** ****** *)
typedef nphil = natLt(NPHIL)
(* ****** ****** *)
fun phil_left (n: nphil): nphil
fun phil_right (n: nphil): nphil
(* ****** ****** *)
//
fun phil_loop (n: nphil): void
//
(* ****** ****** *)
fun cleaner_loop ((*void*)): void
(* ****** ****** *)
absvtype fork_vtype = ptr
vtypedef fork = fork_vtype
(* ****** ****** *)
fun fork_get_num (!fork): nphil
(* ****** ****** *)
fun phil_dine
(n: nphil, lf: !fork, rf: !fork): void
// end of [phil_dine]
fun phil_think (n: nphil): void
(* ****** ****** *)
fun cleaner_wash (f: !fork): void
fun cleaner_return (f: fork): void
(* ****** ****** *)
//
fun fork_changet (n: nphil): channel(fork)
//
fun forktray_changet ((*void*)): channel(fork)
//
(* ****** ****** *)
(* end of [DiningPhil2.sats] *)

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(* ****** ****** *)
//
// HX-2013-11
//
// Implementing a variant of
// the problem of Dining Philosophers
//
(* ****** ****** *)
//
#include
"share/atspre_define.hats"
#include
"share/atspre_staload.hats"
//
(* ****** ****** *)
staload
UN = "prelude/SATS/unsafe.sats"
(* ****** ****** *)
staload "{$LIBATSHWXI}/teaching/mythread/SATS/channel.sats"
(* ****** ****** *)
staload _ = "libats/DATS/deqarray.dats"
staload _ = "{$LIBATSHWXI}/teaching/mythread/DATS/channel.dats"
(* ****** ****** *)
staload "./DiningPhil2.sats"
(* ****** ****** *)
datavtype fork = FORK of (nphil)
(* ****** ****** *)
assume fork_vtype = fork
(* ****** ****** *)
implement
fork_get_num (f) = let val FORK(n) = f in n end
(* ****** ****** *)
local
val
the_forkarray = let
//
typedef t = channel(fork)
//
implement
array_tabulate$fopr<t>
(n) = ch where
{
val n = $UN.cast{nphil}(n)
val ch = channel_create_exn<fork> (i2sz(2))
val () = channel_insert (ch, FORK (n))
}
//
in
arrayref_tabulate<t> (i2sz(NPHIL))
end // end of [val]
in (* in of [local] *)
implement fork_changet (n) = the_forkarray[n]
end // end of [local]
(* ****** ****** *)
local
val the_forktray =
channel_create_exn<fork> (i2sz(NPHIL+1))
in (* in of [local] *)
implement forktray_changet () = the_forktray
end // end of [local]
(* ****** ****** *)
(* end of [DiningPhil2_fork.dats] *)

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(* ****** ****** *)
//
// HX-2013-11
//
// Implementing a variant of
// the problem of Dining Philosophers
//
(* ****** ****** *)
//
#include "share/atspre_define.hats"
#include "share/atspre_staload.hats"
//
(* ****** ****** *)
staload "{$LIBATSHWXI}/teaching/mythread/SATS/mythread.sats"
(* ****** ****** *)
local
//
#include "{$LIBATSHWXI}/teaching/mythread/DATS/mythread.dats"
//
in (* in of [local] *)
//
// HX: it is intentionally left to be empty
//
end // end of [local]
(* ****** ****** *)
local
//
#include "{$LIBATSHWXI}/teaching/mythread/DATS/mythread_posix.dats"
//
in (* in of [local] *)
//
// HX: it is intentionally left to be empty
//
end // end of [local]
(* ****** ****** *)
(* end of [DiningPhil2_thread.dats] *)

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(* ****** ****** *)
//
// HX-2014-01
// Yoneda Lemma:
// The hardest "trivial" theorem :)
//
(* ****** ****** *)
//
#include
"share/atspre_staload.hats"
//
(* ****** ****** *)
staload
"libats/ML/SATS/basis.sats"
staload
"libats/ML/SATS/list0.sats"
staload
"libats/ML/SATS/option0.sats"
(* ****** ****** *)
staload _ = "libats/ML/DATS/list0.dats"
staload _ = "libats/ML/DATS/option0.dats"
(* ****** ****** *)
sortdef ftype = type -> type
(* ****** ****** *)
infixr (->) ->>
typedef ->> (a:type, b:type) = a -<cloref1> b
(* ****** ****** *)
typedef
functor(F:ftype) =
{a,b:type} (a ->> b) ->> F(a) ->> F(b)
(* ****** ****** *)
typedef
list0 (a:type) = list0 (a)
extern
val functor_list0 : functor (list0)
(* ****** ****** *)
implement
functor_list0{a,b}
(f) = lam xs => list0_map<a><b> (xs, f)
(* ****** ****** *)
typedef
option0 (a:type) = option0 (a)
extern
val functor_option0 : functor (option0)
(* ****** ****** *)
implement
functor_option0{a,b}
(f) = lam opt => option0_map<a><b> (opt, f)
(* ****** ****** *)
extern
val functor_homres
: {c:type} functor (lam(r:type) => c ->> r)
(* ****** ****** *)
implement
functor_homres{c}{a,b} (f) = lam (r) => lam (x) => f (r(x))
(* ****** ****** *)
//
extern
fun Yoneda_phi : {F:ftype}functor(F) ->
{a:type}F(a) ->> ({r:type}(a ->> r) ->> F(r))
extern
fun Yoneda_psi : {F:ftype}functor(F) ->
{a:type}({r:type}(a ->> r) ->> F(r)) ->> F(a)
//
(* ****** ****** *)
//
implement
Yoneda_phi
(ftor) = lam(fx) => lam (m) => ftor(m)(fx)
//
implement
Yoneda_psi (ftor) = lam(mf) => mf(lam x => x)
//
(* ****** ****** *)
(*
(* ****** ****** *)
//
// HX-2014-01-05:
// Another version based on Natural Transformation
//
(* ****** ****** *)
typedef
natrans(F:ftype, G:ftype) = {x:type} (F(x) ->> G(x))
(* ****** ****** *)
//
extern
fun Yoneda_phi_nat : {F:ftype}functor(F) ->
{a:type} F(a) ->> natrans(lam (r:type) => (a ->> r), F)
extern
fun Yoneda_psi_nat : {F:ftype}functor(F) ->
{a:type} natrans(lam (r:type) => (a ->> r), F) ->> F(a)
//
(* ****** ****** *)
//
implement
Yoneda_phi_nat
(ftor) = lam(fx) => lam (m) => ftor(m)(fx)
//
implement
Yoneda_psi_nat (ftor) = lam(mf) => mf(lam x => x)
//
(* ****** ****** *)
*)
(* ****** ****** *)
datatype bool = True | False // boxed boolean
(* ****** ****** *)
//
fun bool2string
(x:bool): string =
(
case+ x of True() => "True" | False() => "False"
)
//
implement
fprint_val<bool> (out, x) = fprint (out, bool2string(x))
//
(* ****** ****** *)
//
val myboolist0 =
$list_t{bool}(True, False, True, False, False)
val myboolist0 = g0ofg1_list (myboolist0)
//
(* ****** ****** *)
//
extern
val Yoneda_bool_list0 : {r:type} (bool ->> r) ->> list0(r)
//
implement
Yoneda_bool_list0 =
Yoneda_phi(functor_list0){bool}(myboolist0)
//
(* ****** ****** *)
//
val myboolist1 =
Yoneda_psi(functor_list0){bool}(Yoneda_bool_list0)
//
(* ****** ****** *)
val () = fprintln! (stdout_ref, "myboolist0 = ", myboolist0)
val () = fprintln! (stdout_ref, "myboolist1 = ", myboolist1)
(* ****** ****** *)
implement main0 () = ()
(* ****** ****** *)
(* end of [YonedaLemma.dats] *)

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%{
#include "./../ATEXT/atextfun.hats"
%}
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN"
"http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8" />
<title>EFFECTIVATS-DiningPhil2</title>
#patscode_style()
</head>
<body>
<h1>
Effective ATS: Dining Philosophers
</h1>
In this article, I present an implementation of a slight variant of the
famous problem of 5-Dining-Philosophers by Dijkstra that makes simple but
convincing use of linear types.
<h2>
The Original Problem
</h2>
There are five philosophers sitting around a table and there are also 5
forks placed on the table such that each fork is located between the left
hand of a philosopher and the right hand of another philosopher. Each
philosopher does the following routine repeatedly: thinking and dining. In
order to dine, a philosopher needs to first acquire two forks: one located
on his left-hand side and the other on his right-hand side. After
finishing dining, a philosopher puts the two acquired forks onto the table:
one on his left-hand side and the other on his right-hand side.
<h2>
A Variant of the Original Problem
</h2>
The following twist is added to the original version:
<p>
After a fork is used, it becomes a "dirty" fork and needs to be put in a
tray for dirty forks. There is a cleaner who cleans dirty forks and then
puts them back on the table.
<h2>
Channels for Communication
</h2>
A channel is just a shared queue of fixed capacity. The following two
functions are for inserting an element into and taking an element out of a
given channel:
<pre
class="patsyntax">
#pats2xhtml_sats("\
fun{a:vt0p} channel_insert (channel (a), a): void
fun{a:vt0p} channel_takeout (chan: channel (a)): (a)
")</pre>
If [channel_insert] is called on a channel that is full, then the caller is
blocked until an element is taken out of the channel. If [channel_takeout]
is called on a channel that is empty, then the caller is blocked until an
element is inserted into the channel.
<h2>
A Channel for Each Fork
</h2>
Forks are resources given a linear type. Each fork is initially stored in a
channel, which can be obtained by calling the following function:
<pre
class="patsyntax">
#pats2xhtml_sats("\
fun fork_changet (n: nphil): channel(fork)
")</pre>
where the type [nphil] is defined to be [natLt(5)] (for natural numbers
less than 5). The channels for storing forks are chosen to be of capacity
2. The reason that channels of capacity 2 are chosen to store at most one
element (in each of them) is to guarantee that these channels can never be
full (so that there is no attempt made to send signals to awake callers
supposedly being blocked due to channels being full).
<h2>
A Channel for the Fork Tray
</h2>
A tray for storing "dirty" forks is also a channel, which can be obtained
by calling the following function:
<pre
class="patsyntax">
#pats2xhtml_sats("\
fun forktray_changet ((*void*)): channel(fork)
")</pre>
The capacity chosen for the channel is 6 (instead of 5) so that it can
never become full (as there are only 5 forks in total).
<h2>
Philosopher Loop
</h2>
Each philosopher is implemented as a loop:
<pre
class="patsyntax">
#pats2xhtml_dats('\
implement
phil_loop (n) = let
//
val () = phil_think (n)
//
val nl = phil_left (n) // = n
val nr = phil_right (n) // = (n+1) % 5
//
val ch_lfork = fork_changet (nl)
val ch_rfork = fork_changet (nr)
//
val lf = channel_takeout (ch_lfork)
val () = println! ("phil_loop(", n, ") picks left fork")
//
val () = randsleep (2) // sleep up to 2 seconds
//
val rf = channel_takeout (ch_rfork)
val () = println! ("phil_loop(", n, ") picks right fork")
//
val () = phil_dine (n, lf, rf)
//
val ch_forktray = forktray_changet ()
val () = channel_insert (ch_forktray, lf) // left fork to dirty tray
val () = channel_insert (ch_forktray, rf) // right fork to dirty tray
//
in
phil_loop (n)
end // end of [phil_loop]
')</pre>
It should be straighforward to follow the code for [phil_loop].
<h2>
Fork Cleaner Loop
</h2>
A cleaner is implemented as a loop:
<pre
class="patsyntax">
#pats2xhtml_dats('\
implement
cleaner_loop () = let
//
val ch = forktray_changet ()
val f0 = channel_takeout (ch) // [f0] is dirty
//
val () = cleaner_wash (f0) // washes dirty [f0]
val () = cleaner_return (f0) // puts back cleaned [f0]
//
in
cleaner_loop ()
end // end of [cleaner_loop]
')</pre>
The function [cleaner_return] first finds out the number of a given fork
and then uses the number to locate the channel for storing the fork. Its
actual implementation is given as follows:
<pre
class="patsyntax">
#pats2xhtml_dats('\
implement
cleaner_return (f) =
{
val n = fork_get_num (f)
val ch = fork_changet (n)
val () = channel_insert (ch, f)
}
')</pre>
It should now be straighforward to follow the code for [cleaner_loop].
<h2>
Testing
</h2>
The entire code of this implementation is stored in the following files:
<pre>
DiningPhil2.sats
DiningPhil2.dats
DiningPhil2_fork.dats
DiningPhil2_thread.dats
</pre>
There is also a Makefile available for compiling the ATS source code into
an excutable for testing. One should be able to encounter a deadlock after
running the simulation for a while.
<hr size="2">
This article is written by <a href="http://www.cs.bu.edu/~hwxi/">Hongwei Xi</a>.
</body>
</html>
%{
implement main () = fprint_filsub (stdout_ref, "main_atxt.txt")
%}

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/*
** API in ATS for GNU-readline
*/
/* ****** ****** */
/*
** Permission to use, copy, modify, and distribute this software for any
** purpose with or without fee is hereby granted, provided that the above
** copyright notice and this permission notice appear in all copies.
**
** THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
** WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
** MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
** ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
** WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
** ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
** OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
/* ****** ****** */
#ifndef READLINE_READLINE_CATS
#define READLINE_READLINE_CATS
/* ****** ****** */
#include <readline/readline.h>
/* ****** ****** */
//
#define \
atscntrb_readline_rl_library_version() ((char*)rl_library_version)
//
#define atscntrb_readline_rl_readline_version() (rl_readline_version)
//
/* ****** ****** */
#define atscntrb_readline_readline readline
/* ****** ****** */
#endif // ifndef READLINE_READLINE_CATS
/* ****** ****** */
/* end of [readline.cats] */