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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Amb/00-META.yaml Normal file
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---
from: http://rosettacode.org/wiki/Amb

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Task/Amb/00-TASK.txt Normal file
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Define and give an example of the Amb operator.
The Amb operator (short for "ambiguous") expresses nondeterminism. This doesn't refer to randomness (as in "nondeterministic universe") but is closely related to the term as it is used in automata theory ("non-deterministic finite automaton").
The Amb operator takes a variable number of expressions (or values if that's simpler in the language) and yields a correct one which will satisfy a constraint in some future computation, thereby avoiding failure.
Problems whose solution the Amb operator naturally expresses can be approached with other tools, such as explicit nested iterations over data sets, or with pattern matching. By contrast, the Amb operator appears integrated into the language. Invocations of Amb are not wrapped in any visible loops or other search patterns; they appear to be independent.
Essentially Amb(x, y, z) splits the computation into three possible futures: a future in which the value x is yielded, a future in which the value y is yielded and a future in which the value z is yielded. The future which leads to a successful subsequent computation is chosen. The other "parallel universes" somehow go away. Amb called with no arguments fails.
For simplicity, one of the domain values usable with Amb may denote failure, if that is convenient. For instance, it is convenient if a Boolean false denotes failure, so that Amb(false) fails, and thus constraints can be expressed using Boolean expressions like Amb(x * y == 8) which unless x and y add to four.
A pseudo-code program which satisfies this constraint might look like:
<pre>let x = Amb(1, 2, 3)
let y = Amb(7, 6, 4, 5)
Amb(x * y = 8)
print x, y</pre>
The output is <code>2 4</code> because <code>Amb(1, 2, 3)</code> correctly chooses the future in which <code>x</code> has value <code>2</code>, <code>Amb(7, 6, 4, 5)</code> chooses <code>4</code> and consequently <code>Amb(x * y = 8)</code> produces a success.
Alternatively, failure could be represented using strictly <code>Amb()</code>:
<pre>unless x * y = 8 do Amb()</pre>
Or else Amb could take the form of two operators or functions: one for producing values and one for enforcing constraints:
<pre>let x = Ambsel(1, 2, 3)
let y = Ambsel(4, 5, 6)
Ambassert(x * y = 8)
print x, y</pre>
where <code>Ambassert</code> behaves like <code>Amb()</code> if the Boolean expression is false, otherwise it allows the future computation to take place, without yielding any value.
The task is to somehow implement Amb, and demonstrate it with a program which chooses one word from each of the following four sets of character strings to generate a four-word sentence:
#<code>"the" "that" "a"</code>
#<code>"frog" "elephant" "thing"</code>
#<code>"walked" "treaded" "grows"</code>
#<code>"slowly" "quickly"</code>
The constraint to be satisfied is that the last character of each word (other than the last) is the same as the first character of its successor.
The only successful sentence is <code>"that thing grows slowly"</code>; other combinations do not satisfy the constraint and thus fail.
The goal of this task isn't to simply process the four lists of words with explicit, deterministic program flow such as nested iteration, to trivially demonstrate the correct output. The goal is to implement the Amb operator, or a facsimile thereof that is possible within the language limitations.

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F amb(comp, options, prev = ) -> Array[String]
I options.empty
R []
L(opt) options[0]
// If this is the base call, prev is empty and we need to continue.
I prev != & !comp(prev, opt)
L.continue
// Take care of the case where we have no options left.
I options.len == 1
R [opt]
// Traverse into the tree.
V res = amb(comp, options[1..], opt)
// If it was a failure, try the next one.
if !res.empty
R opt [+] res // We have a match
R []
V sets = [[the, that, a],
[frog, elephant, thing],
[walked, treaded, grows],
[slowly, quickly]]
V result = amb((s, t) -> s.last == t[0], sets)
print(result.join( ))

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Task/Amb/ALGOL-68/amb.alg Normal file
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MODE PAGE = FLEX[0]STRING;
MODE YIELDPAGE = PROC(PAGE)VOID;
MODE ITERPAGE = PROC(YIELDPAGE)VOID;
OP INITITERPAGE = (PAGE self)ITERPAGE:
(YIELDPAGE yield)VOID: # scope violation #
FOR i TO UPB self DO
yield(self[i])
OD;
OP + = (ITERPAGE for strings, PAGE b)ITERPAGE:
(YIELDPAGE yield)VOID: # scope violation #
for strings((PAGE amb)VOID:(
[UPB amb + 1]STRING joined;
joined[:UPB amb] := amb;
STRING last string := amb[UPB amb];
CHAR last char := last string[UPB last string];
FOR i TO UPB b DO
IF last char = b[i][1] THEN
joined[UPB joined] := b[i];
yield(joined)
FI
OD
));
OP + = (PAGE a, PAGE b)ITERPAGE: INITITERPAGE a + b;
ITERPAGE gen amb :=
PAGE("the", "that", "a") +
PAGE("frog", "elephant", "thing") +
PAGE("walked", "treaded", "grows") +
PAGE("slowly", "quickly");
PAGE sep;
#FOR PAGE amb IN # gen amb( # ) DO #
## (PAGE amb)VOID:
print((amb[1]+" "+amb[2]+" "+amb[3]+" "+amb[4], new line))
#OD# )

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(* ****** ****** *)
//
#include
"share/atspre_staload.hats"
#include
"share/HATS/atspre_staload_libats_ML.hats"
//
(* ****** ****** *)
//
staload "libats/ML/SATS/monad_list.sats"
staload _ = "libats/ML/DATS/monad_list.dats"
//
(* ****** ****** *)
//
datatype
words =
| Sing of stringGt(0)
| Comb of (words, words)
//
(* ****** ****** *)
//
extern
fun words_get_beg(words): char
extern
fun words_get_end(words): char
//
(* ****** ****** *)
//
implement
words_get_beg(w0) =
(
case+ w0 of
| Sing(cs) => cs[0]
| Comb(w1, w2) => words_get_beg(w1)
)
//
implement
words_get_end(w0) =
(
case+ w0 of
| Sing(cs) => cs[pred(length(cs))]
| Comb(w1, w2) => words_get_end(w2)
)
//
(* ****** ****** *)
//
fun
words_comb
(
w1: words, w2: words
) : list0(words) =
if (words_get_end(w1)=words_get_beg(w2))
then list0_sing(Comb(w1, w2)) else list0_nil()
//
(* ****** ****** *)
//
extern
fun
fprint_words: fprint_type(words)
//
overload fprint with fprint_words
//
implement
fprint_words(out, ws) =
(
case+ ws of
| Sing(w) => fprint(out, w)
| Comb(w1, w2) => fprint!(out, w1, ' ', w2)
)
//
implement fprint_val<words> = fprint_words
//
(* ****** ****** *)
//
typedef
a = stringGt(0) and b = words
//
val ws1 =
$list{a}("this", "that", "a")
val ws1 =
list_map_fun<a><b>(ws1, lam(x) => Sing(x))
val ws1 = monad_list_list(list0_of_list_vt(ws1))
//
val ws2 =
$list{a}("frog", "elephant", "thing")
val ws2 =
list_map_fun<a><b>(ws2, lam(x) => Sing(x))
val ws2 = monad_list_list(list0_of_list_vt(ws2))
//
val ws3 =
$list{a}("walked", "treaded", "grows")
val ws3 =
list_map_fun<a><b>(ws3, lam(x) => Sing(x))
val ws3 = monad_list_list(list0_of_list_vt(ws3))
//
val ws4 =
$list{a}("slowly", "quickly")
val ws4 =
list_map_fun<a><b>(ws4, lam(x) => Sing(x))
val ws4 = monad_list_list(list0_of_list_vt(ws4))
//
(* ****** ****** *)
//
val
ws12 =
monad_bind2<b,b><b>
(ws1, ws2, lam (w1, w2) => monad_list_list(words_comb(w1, w2)))
val
ws123 =
monad_bind2<b,b><b>
(ws12, ws3, lam (w12, w3) => monad_list_list(words_comb(w12, w3)))
val
ws1234 =
monad_bind2<b,b><b>
(ws123, ws4, lam (w123, w4) => monad_list_list(words_comb(w123, w4)))
//
(* ****** ****** *)
implement main0 () =
{
val () = fprintln! (stdout_ref, "ws1234 = ", ws1234)
}
(* ****** ****** *)

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with Ada.Strings.Unbounded; use Ada.Strings.Unbounded;
with Ada.Text_IO; use Ada.Text_IO;
procedure Test_Amb is
type Alternatives is array (Positive range <>) of Unbounded_String;
type Amb (Count : Positive) is record
This : Positive := 1;
Left : access Amb;
List : Alternatives (1..Count);
end record;
function Image (L : Amb) return String is
begin
return To_String (L.List (L.This));
end Image;
function "/" (L, R : String) return Amb is
Result : Amb (2);
begin
Append (Result.List (1), L);
Append (Result.List (2), R);
return Result;
end "/";
function "/" (L : Amb; R : String) return Amb is
Result : Amb (L.Count + 1);
begin
Result.List (1..L.Count) := L.List ;
Append (Result.List (Result.Count), R);
return Result;
end "/";
function "=" (L, R : Amb) return Boolean is
Left : Unbounded_String renames L.List (L.This);
begin
return Element (Left, Length (Left)) = Element (R.List (R.This), 1);
end "=";
procedure Failure (L : in out Amb) is
begin
loop
if L.This < L.Count then
L.This := L.This + 1;
else
L.This := 1;
Failure (L.Left.all);
end if;
exit when L.Left = null or else L.Left.all = L;
end loop;
end Failure;
procedure Join (L : access Amb; R : in out Amb) is
begin
R.Left := L;
while L.all /= R loop
Failure (R);
end loop;
end Join;
W_1 : aliased Amb := "the" / "that" / "a";
W_2 : aliased Amb := "frog" / "elephant" / "thing";
W_3 : aliased Amb := "walked" / "treaded" / "grows";
W_4 : aliased Amb := "slowly" / "quickly";
begin
Join (W_1'Access, W_2);
Join (W_2'Access, W_3);
Join (W_3'Access, W_4);
Put_Line (Image (W_1) & ' ' & Image (W_2) & ' ' & Image (W_3) & ' ' & Image (W_4));
end Test_Amb;

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set1 := "the that a"
set2 := "frog elephant thing"
set3 := "walked treaded grows"
set4 := "slowly quickly"
MsgBox % amb( "", set1, set2, set3, set4 )
; this takes a total of 17 iterations to complete
amb( char = "", set1 = "", set2 = "", set3 = "", set4 = "" )
{ ; original call to amb must leave char param blank
Loop, Parse, set1, %A_Space%
If (char = (idxchar := SubStr(A_LoopField, 1, 1)) && set2 = ""
|| (char = idxchar || char = "") && ((retval:= amb(SubStr(A_LoopField, 0, 1), set2, set3, set4)) != ""))
Return A_LoopField " " retval
Return ""
}

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DECLARE (*ambassert)() TYPE NUMBER
FUNCTION amb_recurse$(text$[], nr, total, result$)
LOCAL ctr
LOCAL str$, test$
FOR ctr = 1 TO AMOUNT(text$[nr])
str$ = APPEND$(result$, 0, TOKEN$(text$[nr], ctr))
IF nr = total-1 THEN
IF ambassert(str$) THEN RETURN str$
ELSE
test$ = amb_recurse$(text$, nr+1, total, str$)
IF AMOUNT(test$) = total THEN RETURN test$
ENDIF
NEXT
RETURN ""
ENDFUNC
FUNCTION ambsel$(VAR data$ SIZE dim)
RETURN IIF$(dim < 2, "ambsel$ needs more than 1 argument", amb_recurse$(data$, 0, dim, ""))
ENDFUNC
FUNCTION this_is_some_constraint(var$)
DOTIMES AMOUNT(var$)-1
IF RIGHT$(TOKEN$(var$, _), 1) != LEFT$(TOKEN$(var$, _+1), 1) THEN RETURN FALSE
DONE
RETURN TRUE
ENDFUNC
' AMBASSERT: pointing to a constraint function
ambassert = this_is_some_constraint
' AMBSEL$: generate result from arguments in delimited string format
PRINT ambsel$("the that a", "frog elephant thing", "walked treaded grows", "slowly quickly")

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( ( Amb
= first last list words word solution
. !arg:(?first.?list)
& ( !list:
| !list:(.?words) ?list
& !words
: ?
%( @(?word:!first ? @?last)
& Amb$(!last.!list):?solution
& !word !solution:?solution
)
?
& !solution
)
)
& Amb
$ (
. (.the that a)
(.frog elephant thing)
(.walked treaded grows)
(.slowly quickly)
)
)

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#include <iostream>
#include <string_view>
#include <boost/hana.hpp>
#include <boost/hana/experimental/printable.hpp>
using namespace std;
namespace hana = boost::hana;
// Define the Amb function. The first parameter is the constraint to be
// enforced followed by the potential values.
constexpr auto Amb(auto constraint, auto&& ...params)
{
// create the set of all possible solutions
auto possibleSolutions = hana::cartesian_product(hana::tuple(params...));
// find one that matches the constraint
auto foldOperation = [constraint](auto a, auto b)
{
bool meetsConstraint = constraint(a);
return meetsConstraint ? a : b;
};
return hana::fold_right(possibleSolutions, foldOperation);
}
void AlgebraExample()
{
// use a tuple to hold the possible values of each variable
constexpr hana::tuple x{1, 2, 3};
constexpr hana::tuple y{7, 6, 4, 5};
// the constraint enforcing x * y == 8
constexpr auto constraint = [](auto t)
{
return t[hana::size_c<0>] * t[hana::size_c<1>] == 8;
};
// find the solution using the Amb function
auto result = Amb(constraint, x, y);
cout << "\nx = " << hana::experimental::print(x);
cout << "\ny = " << hana::experimental::print(y);
cout << "\nx * y == 8: " << hana::experimental::print(result);
}
void StringExample()
{
// the word lists to choose from
constexpr hana::tuple words1 {"the"sv, "that"sv, "a"sv};
constexpr hana::tuple words2 {"frog"sv, "elephant"sv, "thing"sv};
constexpr hana::tuple words3 {"walked"sv, "treaded"sv, "grows"sv};
constexpr hana::tuple words4 {"slowly"sv, "quickly"sv};
// the constraint that the first letter of a word is the same as the last
// letter of the previous word
constexpr auto constraint = [](const auto t)
{
auto adjacent = hana::zip(hana::drop_back(t), hana::drop_front(t));
return hana::all_of(adjacent, [](auto t)
{
return t[hana::size_c<0>].back() == t[hana::size_c<1>].front();
});
};
// find the solution using the Amb function
auto wordResult = Amb(constraint, words1, words2, words3, words4);
cout << "\n\nWords 1: " << hana::experimental::print(words1);
cout << "\nWords 2: " << hana::experimental::print(words2);
cout << "\nWords 3: " << hana::experimental::print(words3);
cout << "\nWords 4: " << hana::experimental::print(words4);
cout << "\nSolution: " << hana::experimental::print(wordResult) << "\n";
}
int main()
{
AlgebraExample();
StringExample();
}

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using System;
using System.Collections.Generic;
public class Amb : IDisposable
{
List<IValueSet> streams = new List<IValueSet>();
List<IAssertOrAction> assertsOrActions = new List<IAssertOrAction>();
volatile bool stopped = false;
public IAmbValue<T> DefineValues<T>(params T[] values)
{
return DefineValueSet(values);
}
public IAmbValue<T> DefineValueSet<T>(IEnumerable<T> values)
{
ValueSet<T> stream = new ValueSet<T>();
stream.Enumerable = values;
streams.Add(stream);
return stream;
}
public Amb Assert(Func<bool> function)
{
assertsOrActions.Add(new AmbAssert()
{
Level = streams.Count,
IsValidFunction = function
});
return this;
}
public Amb Perform(Action action)
{
assertsOrActions.Add(new AmbAction()
{
Level = streams.Count,
Action = action
});
return this;
}
public void Stop()
{
stopped = true;
}
public void Dispose()
{
RunLevel(0, 0);
if (!stopped)
{
throw new AmbException();
}
}
void RunLevel(int level, int actionIndex)
{
while (actionIndex < assertsOrActions.Count && assertsOrActions[actionIndex].Level <= level)
{
if (!assertsOrActions[actionIndex].Invoke() || stopped)
return;
actionIndex++;
}
if (level < streams.Count)
{
using (IValueSetIterator iterator = streams[level].CreateIterator())
{
while (iterator.MoveNext())
{
RunLevel(level + 1, actionIndex);
}
}
}
}
interface IValueSet
{
IValueSetIterator CreateIterator();
}
interface IValueSetIterator : IDisposable
{
bool MoveNext();
}
interface IAssertOrAction
{
int Level { get; }
bool Invoke();
}
class AmbAssert : IAssertOrAction
{
internal int Level;
internal Func<bool> IsValidFunction;
int IAssertOrAction.Level { get { return Level; } }
bool IAssertOrAction.Invoke()
{
return IsValidFunction();
}
}
class AmbAction : IAssertOrAction
{
internal int Level;
internal Action Action;
int IAssertOrAction.Level { get { return Level; } }
bool IAssertOrAction.Invoke()
{
Action(); return true;
}
}
class ValueSet<T> : IValueSet, IAmbValue<T>, IValueSetIterator
{
internal IEnumerable<T> Enumerable;
private IEnumerator<T> enumerator;
public T Value { get { return enumerator.Current; } }
public IValueSetIterator CreateIterator()
{
enumerator = Enumerable.GetEnumerator();
return this;
}
public bool MoveNext()
{
return enumerator.MoveNext();
}
public void Dispose()
{
enumerator.Dispose();
}
}
}
public interface IAmbValue<T>
{
T Value { get; }
}
public class AmbException : Exception
{
public AmbException() : base("AMB is angry") { }
}

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// original problem
using (Amb amb = new Amb())
{
var set1 = amb.DefineValues("the", "that", "a");
var set2 = amb.DefineValues("frog", "elephant", "thing");
var set3 = amb.DefineValues("walked", "treaded", "grows");
var set4 = amb.DefineValues("slowly", "quickly");
amb.Assert(() => IsJoinable(set1.Value, set2.Value));
amb.Assert(() => IsJoinable(set2.Value, set3.Value));
amb.Assert(() => IsJoinable(set3.Value, set4.Value));
amb.Perform(() =>
{
System.Console.WriteLine("{0} {1} {2} {3}", set1.Value, set2.Value, set3.Value, set4.Value);
amb.Stop();
});
}
// problem from http://www.randomhacks.net/articles/2005/10/11/amb-operator
using (Amb amb = new Amb())
{
IAmbValue<int> x = amb.DefineValues(1, 2, 3);
IAmbValue<int> y = amb.DefineValues(4, 5, 6);
amb.Assert(() => x.Value * y.Value == 8);
amb.Perform(() =>
{
System.Console.WriteLine("{0} {1}", x.Value, y.Value);
amb.Stop();
});
}

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using System;
using System.Collections.Generic;
namespace Amb {
public interface IValue<T> {
T Value { get; }
string ToString();
}
public sealed class Amb {
public IValue<T> Choose<T>(params T[] choices) {
var array = new ChoiceArray<T> { Values = choices };
_choices.Add(array);
return array;
}
public void Require(Func<bool> predicate) =>
_constraints.Add(new Constraint { Predicate = predicate, AppliesForItems = _choices.Count });
public bool Disambiguate() => Disambiguate(0, 0);
interface IChoices {
int Length { get; }
int Index { get; set; }
}
interface IConstraint {
int AppliesForItems { get; }
bool Invoke();
}
readonly List<IChoices> _choices = new();
readonly List<IConstraint> _constraints = new();
bool Disambiguate(int choicesTracked, int constraintIdx) {
while (constraintIdx < _constraints.Count && _constraints[constraintIdx].AppliesForItems <= choicesTracked) {
if (!_constraints[constraintIdx].Invoke())
return false;
constraintIdx++;
}
if (choicesTracked == _choices.Count)
return true;
for (var i = 0; i < _choices[choicesTracked].Length; i++) {
_choices[choicesTracked].Index = i;
if (Disambiguate(choicesTracked + 1, constraintIdx))
return true;
}
return false;
}
class Constraint : IConstraint {
internal Func<bool> Predicate;
public int AppliesForItems { get; set; }
public bool Invoke() => Predicate?.Invoke() ?? default;
}
class ChoiceArray<T> : IChoices, IValue<T> {
internal T[] Values;
public int Index { get; set; }
public T Value => Values[Index];
public int Length => Values.Length;
public override string ToString() => Value.ToString();
}
}
}

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using System.Linq;
using static System.Console;
namespace Amb {
class Program {
static void Main(string[] args) {
var amb = new Amb();
var set1 = amb.Choose("the", "that", "a");
var set2 = amb.Choose("frog", "elephant", "thing");
amb.Require(() => set1.Value.Last() == set2.Value[0]);
var set3 = amb.Choose("walked", "treaded", "grows");
amb.Require(() => set2.Value.Last() == set3.Value[0]);
var set4 = amb.Choose("slowly", "quickly");
amb.Require(() => set3.Value.Last() == set4.Value[0]);
WriteLine(amb.Disambiguate()? $"{set1} {set2} {set3} {set4}" : "Amb failed");
Read();
// problem from http://www.randomhacks.net/articles/2005/10/11/amb-operator
amb = new Amb();
var x = amb.Choose(1, 2, 3);
var y = amb.Choose(4, 5, 6);
amb.Require(() => x.Value * y.Value == 8);
WriteLine(amb.Disambiguate() ? $"{x} * {y} = 8" : "Amb failed");
Read();
}
}
}

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using static System.Console;
using System.Linq;
string[] w1 = { "the", "that", "a" };
string[] w2 = { "frog", "elephant", "thing" };
string[] w3 = { "walked", "treaded", "grows" };
string[] w4 = { "slowly", "quickly" };
var result = from a in w1
join b in w2 on a?.LastOrDefault() equals b?.FirstOrDefault()
join c in w3 on b?.LastOrDefault() equals c?.FirstOrDefault()
join d in w4 on c?.LastOrDefault() equals d?.FirstOrDefault()
select new [] {a, b, c, d};
WriteLine(string.Join(" ", result.SelectMany(x => x)));
double[] x = { 1, 2, 3 };
double[] y = { 7, 6, 4, 5 };
var result2 = from a in x
join b in y on a equals 8 / b
select new[] { a, b };
WriteLine(string.Join(" ", result2.SelectMany(x => x)));

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typedef const char * amb_t;
amb_t amb(size_t argc, ...)
{
amb_t *choices;
va_list ap;
int i;
if(argc) {
choices = malloc(argc*sizeof(amb_t));
va_start(ap, argc);
i = 0;
do { choices[i] = va_arg(ap, amb_t); } while(++i < argc);
va_end(ap);
i = 0;
do { TRY(choices[i]); } while(++i < argc);
free(choices);
}
FAIL;
}
int joins(const char *left, const char *right) { return left[strlen(left)-1] == right[0]; }
int _main() {
const char *w1,*w2,*w3,*w4;
w1 = amb(3, "the", "that", "a");
w2 = amb(3, "frog", "elephant", "thing");
w3 = amb(3, "walked", "treaded", "grows");
w4 = amb(2, "slowly", "quickly");
if(!joins(w1, w2)) amb(0);
if(!joins(w2, w3)) amb(0);
if(!joins(w3, w4)) amb(0);
printf("%s %s %s %s\n", w1, w2, w3, w4);
return EXIT_SUCCESS;
}

12
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(ns amb
(:use clojure.contrib.monads))
(defn amb [wss]
(let [valid-word (fn [w1 w2]
(if (and w1 (= (last w1) (first w2)))
(str w1 " " w2)))]
(filter #(reduce valid-word %)
(with-monad sequence-m (m-seq wss)))))
amb> (amb '(("the" "that" "a") ("frog" "elephant" "thing") ("walked" "treaded" "grows") ("slowly" "quickly")))
(("that" "thing" "grows" "slowly"))

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(define-condition amb-failure () ()
(:report "No amb alternative succeeded."))
(defun invoke-ambiguously (function thunks)
"Call function with successive values produced by successive
functions in thunks until some invocation of function does not signal
an amb-failure."
(do ((thunks thunks (rest thunks)))
((endp thunks) (error 'amb-failure))
(let ((argument (funcall (first thunks))))
(handler-case (return (funcall function argument))
(amb-failure ())))))
(defmacro amblet1 ((var form) &body body)
"If form is of the form (amb {form}*) then amblet1 is a convenient
syntax for invoke-ambiguously, by which body is evaluated with var
bound the results of each form until some evaluation of body does not
signal an amb-failure. For any other form, amblet binds var the result
of form, and evaluates body."
(if (and (listp form) (eq (first form) 'amb))
`(invoke-ambiguously
#'(lambda (,var) ,@body)
(list ,@(loop for amb-form in (rest form)
collecting `#'(lambda () ,amb-form))))
`(let ((,var ,form))
,@body)))
(defmacro amblet (bindings &body body)
"Like let, except that if an init-form is of the form (amb {form}*),
then the corresponding var is bound with amblet1."
(if (endp bindings)
`(progn ,@body)
`(amblet1 ,(first bindings)
(amblet ,(rest bindings)
,@body))))

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(defparameter *amb-ops* nil)
(defparameter *amb-hist* nil)
(setf *random-state* (make-random-state t))
(defun shuffle (items)
(loop for i from 0 with r = items with l = (length r) while (< i l) do
(rotatef (elt r i) (elt r (+ i (random (- l i)))))
finally (return r)))
;;; (assert '(mess in, mess out))
(defmacro amb (a &rest rest)
(let ((f (first rest))
(rest (rest rest)))
(if (not f)
`(let ((items (shuffle ,a)))
(let ((y (car (last *amb-hist*)))
(o (car (last *amb-ops*))))
(loop for x in items do
(if (or (not *amb-ops*)
(funcall o y x))
(return (append *amb-hist* (list x))))
(elt items (random (length items))))))
`(let ((items (shuffle ,a)))
(let ((y (car (last *amb-hist*)))
(o (car (last *amb-ops*))))
(loop for x in items do
(if (or (not *amb-ops*)
(funcall o y x))
(let ((*amb-hist* (append *amb-hist* (list x)))
(*amb-ops* (append *amb-ops* (list ,f))))
(let ((r ,@rest))
(if r (return r)))))))))))
;; test cases
(defun joins (a b)
(char= (char a (1- (length a))) (char b 0)))
(defun w34()
(amb '("walked" "treaded" "grows") #'joins
(amb '("slowly" "quickly"))))
(print
(amb '("the" "that" "a") #'joins
(amb '("frog" "elephant" "thing") #'joins
(w34))))
(print (amb '(1 2 5) #'<
(amb '(2 3 4) #'=
(amb '(3 4 5))))) ; 1 4 4, 2 3 3, etc

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;; 22.11.18 Ajout macro
(defvar *stack* nil)
(defvar *assert* t)
(defun ambnew ()
(setf *stack* nil)
(setf *assert* t))
(defmacro ambsel (name domain)
`(progn (defparameter ,name (first ,domain))
(pushnew ',name *stack*)
(setf (get ',name 'domain) ,domain)))
(defun ambassert (assert)
(setf *assert* (list 'and assert *assert*))
(if (eval *assert*)
t
(labels ((probe (&optional (stack *stack*))
(let* ((name (first stack))
(domain (get name 'domain)))
(dolist (value domain)
(set name value)
(cond ((eval *assert*) (return t))
((probe (rest stack)) (return t)))))))
(probe))))

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(defun match (a b)
(equal (elt (reverse a) 0) (elt b 0)))

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(defun magic-square (a b c d e f g h i)
(and (/= a b c d e f g h i)
(= (+ a b c)
(+ d e f)
(+ g h i)
(+ a d g)
(+ b e h)
(+ c f i)
(+ a e i)
(+ c e g))))

47
Task/Amb/D/amb.d Normal file
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import std.stdio, std.array;
/** This amb function takes a comparison function and
the possibilities that need to be checked.*/
//string[] amb(in bool function(in string, in string) pure comp,
const(string)[] amb(in bool function(in string, in string) pure comp,
in string[][] options,
in string prev = null) pure {
if (options.empty)
return null;
foreach (immutable opt; options.front) {
// If this is the base call, prev is null and we need to
// continue.
if (!prev.empty && !comp(prev, opt))
continue;
// Take care of the case where we have no options left.
if (options.length == 1)
return [opt];
// Traverse into the tree.
const res = amb(comp, options[1 .. $], opt);
// If it was a failure, try the next one.
if (!res.empty)
return opt ~ res; // We have a match!
}
return null; // No matches.
}
void main() {
immutable sets = [["the", "that", "a"],
["frog", "elephant", "thing"],
["walked", "treaded", "grows"],
["slowly", "quickly"]];
// Pass in the comparator and the available sets.
// (The comparator is not nothrow because of UTF.)
const result = amb((s, t) => s.back == t.front, sets);
if (result.empty)
writeln("No matches found!");
else
writefln("%-(%s %)", result);
}

81
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pragma.enable("accumulator")
def [amb, unamb] := { # block hides internals
def Choice := Tuple[any, Map]
def [ambS, ambU] := <elib:sealing.makeBrand>("amb")
var counter := 0 # Used just for printing ambs
/** Check whether two sets of decisions are consistent */
def consistent(decA, decB) {
def overlap := decA.domain() & decB.domain()
for ambObj in overlap {
if (decA[ambObj] != decB[ambObj]) { return false }
}
return true
}
/** From an amb object, extract the possible choices */
def getChoices(obj, decisions) :List[Choice] {
if (decisions.maps(obj)) {
return [[decisions[obj], decisions]]
} else if (ambU.amplify(obj) =~ [[choices, _]]) {
return accum [] for [chosen, dec] ? (consistent(decisions, dec)) in choices { _ + getChoices(chosen, (decisions | dec).with(obj, chosen)) }
} else {
return [[obj, decisions]]
}
}
/** Construct an amb object with remembered decisions */
def ambDec(choices :List[Choice]) {
def serial := (counter += 1)
def ambObj {
to __printOn(out) {
out.print("<amb(", serial, ")")
for [chosen, decisions] in choices {
out.print(" ", chosen)
for k => v in decisions {
out.print(";", ambU.amplify(k)[0][1], "=", v)
}
}
out.print(">")
}
to __optSealedDispatch(brand) {
if (brand == ambS.getBrand()) {
return ambS.seal([choices, serial])
}
}
match [verb, args] {
var results := []
for [rec, rdec] in getChoices(ambObj, [].asMap()) {
def expandArgs(dec, prefix, choosing) {
switch (choosing) {
match [] { results with= [E.call(rec, verb, prefix), dec] }
match [argAmb] + moreArgs {
for [arg, adec] in getChoices(argAmb, dec) {
expandArgs(adec, prefix.with(arg), moreArgs)
}
}
}
}
expandArgs(rdec, [], args)
}
ambDec(results)
}
}
return ambObj
}
/** Construct an amb object with no remembered decisions. (public interface) */
def amb(choices) {
return ambDec(accum [] for c in choices { _.with([c, [].asMap()]) })
}
/** Get the possible results from an amb object, discarding decision info. (public interface) */
def unamb(ambObj) {
return accum [] for [c,_] in getChoices(ambObj, [].asMap()) { _.with(c) }
}
[amb, unamb]
}

18
Task/Amb/E/amb-2.e Normal file
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def join(a, b) {
# This must not use the builtin if, since it coerces to boolean rather than passing messages.
# false.pick(x, y) returns y and true.pick(x, y) returns x; we protect the amb([]) from causing
# unconditional failure by putting both options in functions.
# <=> is the comparison operator that happens to be message-based.
return (a.last() <=> b[0]).pick(fn {
a + " " + b
}, fn {
amb([])
})()
}
def w1 := amb(["the", "that", "a" ])
def w2 := amb(["frog", "elephant", "thing" ])
def w3 := amb(["walked", "treaded", "grows" ])
def w4 := amb(["slowly", "quickly" ])
unamb(join(join(join(w1, w2), w3), w4))

50
Task/Amb/ERRE/amb.erre Normal file
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PROGRAM AMB
!
! for rosettacode.org
!
!$KEY
DIM SET1$[2],SET2$[2],SET3$[2],SET4$[2]
FUNCTION WORDS_OK(STRING1$,STRING2$)
WORDS_OK=(RIGHT$(STRING1$,1)=LEFT$(STRING2$,1))
END FUNCTION
PROCEDURE AMB(SET1$[],SET2$[],SET3$[],SET4$[]->RESULT$)
RESULT$="" ! Empty string, e.g. fail
FOR A=0 TO 2 DO
FOR B=0 TO 2 DO
FOR C=0 TO 2 DO
FOR D=0 TO 2 DO
IF WORDS_OK(SET1$[A],SET2$[B]) AND WORDS_OK(SET2$[B],SET3$[C]) AND WORDS_OK(SET3$[C],SET4$[D]) THEN
RESULT$=SET1$[A]+" "+SET2$[B]+" "+SET3$[C]+" "+SET4$[D]
EXIT PROCEDURE
END IF
END FOR
END FOR
END FOR
END FOR
END PROCEDURE
BEGIN
PRINT(CHR$(12);) ! CLS
SET1$[0]="the" SET1$[1]="that" SET1$[2]="a"
SET2$[0]="frog" SET2$[1]="elephant" SET2$[2]="thing"
SET3$[0]="walked" SET3$[1]="treaded" SET3$[2]="grows"
SET4$[0]="slowly" SET4$[1]="quickly" SET4$[2]=""
AMB(SET1$[],SET2$[],SET3$[],SET4$[]->TEXT$)
IF TEXT$<>"" THEN
PRINT("Correct sentence would be:")
PRINT(TEXT$)
ELSE
PRINT("Failed to fine a correct sentence.")
END IF
PRINT
PRINT("Press any key to exit.")
REPEAT
GET(Z$)
UNTIL LEN(Z$)<>0
END PROGRAM

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; We don't need 'amb' in the code since pattern-matching of Egison automatically do backtracking.
(match-all {{"the" "that" "a"} {"frog" "elephant" "thing"} {"walked" "treaded" "grows"} {"slowly" "quickly"}} (list (multiset string))
[<cons <cons (& <snoc $c_1 _> $w_1) _>
(loop $i [2 $n]
<cons <cons (& <cons ,c_(- i 1) <snoc $c_i _>> $w_i) _> ...>
<nil>)>
(map (lambda [$i] w_i) (between 1 n))])

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@ -0,0 +1 @@
{{"that" "thing" "grows" "slowly"}}

15
Task/Amb/Ela/amb-1.ela Normal file
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open list core
amb xs = x where
(Some x) = & join xs ""
join (x::xs) = amb' x (join xs)
join [] = \_ -> Some ""
eq' [] x = true
eq' w x = last w == head x
amb' [] _ _ = None
amb' (x::xs) n w
| eq' w x =
match n x with
Some v = Some (x ++ " " ++ v)
_ = amb' xs n w
| else = amb' xs n w

6
Task/Amb/Ela/amb-2.ela Normal file
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amb [
["the","that","a"]
,["frog","elephant","thing"]
,["walked","treaded","grows"]
,["slowly","quickly"]
]

85
Task/Amb/Elena/amb.elena Normal file
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import system'routines;
import extensions;
import extensions'routines;
joinable(former,later) = (former[former.Length - 1] == later[0]);
dispatcher = new
{
eval(object a, Func2 f)
{
^ f(a[0],a[1])
}
eval(object a, Func3 f)
{
^ f(a[0], a[1],a[2])
}
eval(object a, Func4 f)
{
^ f(a[0],a[1],a[2],a[3])
}
eval(object a, Func5 f)
{
^ f(a[0],a[1],a[2],a[3],a[4])
}
};
class AmbValueCollection
{
object theCombinator;
constructor new(params object[] args)
{
theCombinator := SequentialEnumerator.new(params args)
}
seek(cond)
{
theCombinator.reset();
theCombinator.seekEach:(v => dispatcher.eval(v,cond))
}
do(f)
{
var result := theCombinator.get();
if (nil != result)
{
dispatcher.eval(result,f)
}
else
{
InvalidArgumentException.raise()
}
}
}
singleton ambOperator
{
for(params object[] args)
= AmbValueCollection.new(params args);
}
public program()
{
try
{
ambOperator
.for(
new object[]{"the","that","a"},
new object[]{"frog", "elephant", "thing"},
new object[]{"walked", "treaded", "grows"},
new object[]{"slowly", "quickly"})
.seek:(a,b,c,d => joinable(a,b) && joinable(b,c) && joinable(c,d) )
.do:(a,b,c,d) { console.printLine(a," ",b," ",c," ",d) }
}
catch(Exception e)
{
console.printLine:"AMB is angry"
};
console.readChar()
}

28
Task/Amb/F-Sharp/amb.fs Normal file
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// define the List "workflow" (monad)
type ListBuilder() =
member o.Bind( lst, f ) = List.concat( List.map (fun x -> f x) lst )
member o.Return( x ) = [x]
member o.Zero() = []
let list = ListBuilder()
let amb = id
// last element of a sequence
let last s = Seq.nth ((Seq.length s) - 1) s
// is the last element of left the same as the first element of right?
let joins left right = last left = Seq.head right
let example = list { let! w1 = amb ["the"; "that"; "a"]
let! w2 = amb ["frog"; "elephant"; "thing"]
let! w3 = amb ["walked"; "treaded"; "grows"]
let! w4 = amb ["slowly"; "quickly"]
if joins w1 w2 &&
joins w2 w3 &&
joins w3 w4
then
return String.concat " " [w1; w2; w3; w4]
}
printfn "%s" (List.head example)

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@ -0,0 +1,20 @@
USING: backtrack continuations kernel prettyprint sequences ;
IN: amb
CONSTANT: words {
{ "the" "that" "a" }
{ "frog" "elephant" "thing" }
{ "walked" "treaded" "grows" }
{ "slowly" "quickly" }
}
: letters-match? ( str1 str2 -- ? ) [ last ] [ first ] bi* = ;
: sentence-match? ( seq -- ? ) dup rest [ letters-match? ] 2all? ;
: select ( seq -- seq' ) [ amb-lazy ] map ;
: search ( -- )
words select dup sentence-match? [ " " join ] [ fail ] if . ;
MAIN: search

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Function wordsOK(string1 As String, string2 As String) As boolean
If Mid(string1, Len(string1), 1) = Mid(string2, 1, 1) Then
Return True
End If
Return False
End Function
Function Amb(A() As String, B() As String, C() As String, D() As String) As String
Dim As Integer a2, b2, c2, d2
For a2 = 0 To Ubound(A)
For b2 = 0 To Ubound(B)
For c2 = 0 To Ubound(C)
For d2 = 0 To Ubound(D)
If wordsOK(A(a2),B(b2)) And wordsOK(B(b2),C(c2)) And wordsOK(C(c2),D(d2)) Then
Return A(a2) + " " + B(b2) + " " + C(c2) + " " + D(d2)
End If
Next d2
Next c2
Next b2
Next a2
Return "" 'Cadena vacía, por ejemplo, falla
End Function
Dim As String set1(2), set2(2), set3(2), set4(1)
set1(0) = "the" : set1(1) = "that" : set1(2) = "a"
set2(0) = "frog" : set2(1) = "elephant" : set2(2) = "thing"
set3(0) = "walked" : set3(1) = "treaded" : set3(2) = "grows"
set4(0) = "slowly" : set4(1) = "quickly"
Dim As String text = Amb(set1(), set2(), set3(), set4())
If text <> "" Then
Print !"Correct sentence would be:\n" + text
Else
Print "Failed to fine a correct sentence."
End If
Sleep

49
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package main
import (
"fmt"
"sync"
)
func ambStrings(ss []string) chan []string {
c := make(chan []string)
go func() {
for _, s := range ss {
c <- []string{s}
}
close(c)
}()
return c
}
func ambChain(ss []string, cIn chan []string) chan []string {
cOut := make(chan []string)
go func() {
var w sync.WaitGroup
for chain := range cIn {
w.Add(1)
go func(chain []string) {
for s1 := range ambStrings(ss) {
if s1[0][len(s1[0])-1] == chain[0][0] {
cOut <- append(s1, chain...)
}
}
w.Done()
}(chain)
}
w.Wait()
close(cOut)
}()
return cOut
}
func main() {
s1 := []string{"the", "that", "a"}
s2 := []string{"frog", "elephant", "thing"}
s3 := []string{"walked", "treaded", "grows"}
s4 := []string{"slowly", "quickly"}
c := ambChain(s1, ambChain(s2, ambChain(s3, ambStrings(s4))))
for s := range c {
fmt.Println(s)
}
}

39
Task/Amb/Go/amb-2.go Normal file
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package main
import "fmt"
func amb(wordsets [][]string, res []string) bool {
if len(wordsets) == 0 {
return true
}
var s string
l := len(res)
if l > 0 { s = res[l - 1] }
res = res[0:len(res) + 1]
for _, res[l] = range(wordsets[0]) {
if l > 0 && s[len(s) - 1] != res[l][0] { continue }
if amb(wordsets[1:len(wordsets)], res) {
return true
}
}
return false
}
func main() {
wordset := [][]string { { "the", "that", "a" },
{ "frog", "elephant", "thing" },
{ "walked", "treaded", "grows" },
{ "slowly", "quickly" } }
res := make([]string, len(wordset))
if amb(wordset, res[0:0]) {
fmt.Println(res)
} else {
fmt.Println("No amb found")
}
}

15
Task/Amb/Haskell/amb-1.hs Normal file
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import Control.Monad
amb = id
joins left right = last left == head right
example = do
w1 <- amb ["the", "that", "a"]
w2 <- amb ["frog", "elephant", "thing"]
w3 <- amb ["walked", "treaded", "grows"]
w4 <- amb ["slowly", "quickly"]
guard (w1 `joins` w2)
guard (w2 `joins` w3)
guard (w3 `joins` w4)
pure $ unwords [w1, w2, w3, w4]

53
Task/Amb/Haskell/amb-2.hs Normal file
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joins :: String -> String -> Bool
joins left right = last left == head right
-- First desugaring (dropping the do notation)
-- in terms of the bind operator (>>=) for the list monad
exampleBind :: String
exampleBind =
["the", "that", "a"] >>=
(\w1 ->
["frog", "elephant", "thing"] >>=
\w2 ->
["walked", "treaded", "grows"] >>=
\w3 ->
["slowly", "quickly"] >>=
(\w4 ->
if joins w1 w2
then (if joins w2 w3
then (if joins w3 w4
then unwords [w1, w2, w3, w4]
else [])
else [])
else []))
-- Second desugaring (still dropping the do notation)
-- in terms of the concatMap, which is >>= with its arguments flipped
exampleConcatMap :: String
exampleConcatMap =
concatMap
(\w1 ->
concatMap
(\w2 ->
concatMap
(\w3 ->
concatMap
(\w4 ->
if joins w1 w2
then (if joins w2 w3
then (if joins w3 w4
then unwords [w1, w2, w3, w4]
else [])
else [])
else [])
["slowly", "quickly"])
["walked", "treaded", "grows"])
["frog", "elephant", "thing"])
["the", "that", "a"]
main :: IO ()
main = do
print exampleBind
print exampleConcatMap

22
Task/Amb/Haskell/amb-3.hs Normal file
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example :: [String]
example =
["the", "that", "a"] >>=
\w1 ->
when True ["frog", "elephant", "thing"] >>=
\w2 ->
when (joins w1 w2) ["walked", "treaded", "grows"] >>=
\w3 ->
when (joins w2 w3) ["slowly", "quickly"] >>=
\w4 -> when (joins w3 w4) [w1, w2, w3, w4]
joins :: String -> String -> Bool
joins left right = last left == head right
when :: Bool -> [a] -> [a]
when p xs =
if p
then xs
else []
main :: IO ()
main = print $ unwords example

17
Task/Amb/Haskell/amb-4.hs Normal file
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joins :: String -> String -> Bool
joins left right = last left == head right
example :: [String]
example =
[ unwords [w1, w2, w3, w4]
| w1 <- ["the", "that", "a"],
w2 <- ["frog", "elephant", "thing"],
joins w1 w2,
w3 <- ["walked", "treaded", "grows"],
joins w2 w3,
w4 <- ["slowly", "quickly"],
joins w3 w4
]
main :: IO ()
main = print example

73
Task/Amb/Haxe/amb.haxe Normal file
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class RosettaDemo
{
static var setA = ['the', 'that', 'a'];
static var setB = ['frog', 'elephant', 'thing'];
static var setC = ['walked', 'treaded', 'grows'];
static var setD = ['slowly', 'quickly'];
static public function main()
{
Sys.print(ambParse([ setA, setB, setC, setD ]).toString());
}
static function ambParse(sets : Array<Array<String>>)
{
var ambData : Dynamic = amb(sets);
for (data in 0...ambData.length)
{
var tmpData = parseIt(ambData[data]);
var tmpArray = tmpData.split(' ');
tmpArray.pop();
if (tmpArray.length == sets.length)
{
return tmpData;
}
}
return '';
}
static function amb(startingWith : String = '', sets : Array<Array<String>>) : Dynamic
{
if (sets.length == 0 || sets[0].length == 0) return;
var match : Dynamic = [];
for (reference in sets[0])
{
if (startingWith == '' || startingWith == reference.charAt(0))
{
var lastChar = reference.charAt(reference.length-1);
if (Std.is(amb(lastChar, sets.slice(1)), Array))
{
match.push([ reference, amb(lastChar, sets.slice(1))]);
}
else
{
match.push([ reference ]);
}
}
}
return match;
}
static function parseIt(data : Dynamic)
{
var retData = '';
if (Std.is(data, Array))
{
for (elements in 0...data.length)
{
if (Std.is(data[elements], Array))
{
retData = retData + parseIt(data[elements]);
}
else
{
retData = retData + data[elements] + ' ';
}
}
}
return retData;
}
}

18
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procedure main()
s1 := ["the","that","a"]
s2 := ["frog","elephant","thing"]
s3 := ["walked","treaded","grows"]
s4 := ["slowly","quickly"]
write(amb(!s1,!s2,!s3,!s4))
end
procedure amb(exprs[])
s := ""
every e := !exprs do {
if \c ~== e[1] then fail
c := e[-1]
s ||:= e || " "
}
return s
end

13
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@ -0,0 +1,13 @@
ambsel=: <^:99@,
ambassert=: {{
anames=. (#~ 99<:{{L.do y}}@>) (#~ 0=nc)/:~~.;:m
limit=. */alimits=. #@> avalues=. {{>^:98 do y}}every anames
j=. 0 while. do.
(anames)=. test=. (alimits#:j) {each avalues
try. do m
anames {{(x)=:y}}&> test break.
catch. end.
if. limit<:j=.j+1 do. assert.'no valid solution' end.
end. EMPTY
}}

10
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@ -0,0 +1,10 @@
s1=: ambsel;:'the that a'
s2=: ambsel;:'frog elephant thing'
s3=: ambsel;:'walked treaded grows'
s4=: ambsel;:'slowly quickly'
edgematch=: {{ x,y assert. ({:;x)={.;y }}
{{)n edgematch/ s1,s2,s3,s4 }} ambassert
echo s1,s2,s3,s4
┌────┬─────┬─────┬──────┐
│that│thing│grows│slowly│
└────┴─────┴─────┴──────┘

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function ambRun(func) {
var choices = [];
var index;
function amb(values) {
if (values.length == 0) {
fail();
}
if (index == choices.length) {
choices.push({i: 0,
count: values.length});
}
var choice = choices[index++];
return values[choice.i];
}
function fail() { throw fail; }
while (true) {
try {
index = 0;
return func(amb, fail);
} catch (e) {
if (e != fail) {
throw e;
}
var choice;
while ((choice = choices.pop()) && ++choice.i == choice.count) {}
if (choice == undefined) {
return undefined;
}
choices.push(choice);
}
}
}
ambRun(function(amb, fail) {
function linked(s1, s2) {
return s1.slice(-1) == s2.slice(0, 1);
}
var w1 = amb(["the", "that", "a"]);
var w2 = amb(["frog", "elephant", "thing"]);
if (!linked(w1, w2)) fail();
var w3 = amb(["walked", "treaded", "grows"]);
if (!linked(w2, w3)) fail();
var w4 = amb(["slowly", "quickly"]);
if (!linked(w3, w4)) fail();
return [w1, w2, w3, w4].join(' ');
}); // "that thing grows slowly"

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(() => {
'use strict';
// amb :: [a] -> (a -> [b]) -> [b]
const amb = xs => f =>
xs.reduce((a, x) => a.concat(f(x)), []);
// when :: Bool -> [a] -> [a]
const when = p =>
xs => p ? (
xs
) : [];
// TEST -----------------------------------------------
const main = () => {
// joins :: String -> String -> Bool
const joins = (a, b) =>
b[0] === last(a);
console.log(
amb(['the', 'that', 'a'])
(w1 => when(true)(
amb(['frog', 'elephant', 'thing'])
(w2 => when(joins(w1, w2))(
amb(['walked', 'treaded', 'grows'])
(w3 => when(joins(w2, w3))(
amb(['slowly', 'quickly'])
(w4 => when(joins(w3, w4))(
unwords([w1, w2, w3, w4])
))
))
))
))
);
};
// GENERIC FUNCTIONS ----------------------------------
// last :: [a] -> a
const last = xs =>
0 < xs.length ? xs.slice(-1)[0] : undefined;
// unwords :: [String] -> String
const unwords = xs => xs.join(' ');
// MAIN ---
return main();
})();

6
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def amb: .[];
def joins:
(.[0][-1:]) as $left
| (.[1][0:1]) as $right
| if $left == $right then true else empty end;

8
Task/Amb/Jq/amb-2.jq Normal file
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@ -0,0 +1,8 @@
(["the","that","a"] | amb) as $word1
| (["frog","elephant","thing"] | amb) as $word2
| [$word1, $word2] | joins
| (["walked","treaded","grows"] | amb) as $word3
| [$word2, $word3] | joins
| (["slowly","quickly"] | amb) as $word4
| [$word3, $word4] | joins
| [$word1, $word2, $word3, $word4]

7
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@ -0,0 +1,7 @@
jq -n -f amb.jq
[
"that",
"thing",
"grows",
"slowly"
]

6
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@ -0,0 +1,6 @@
def amb(condition): .[] | select(condition);
def joins:
(.[0][-1:]) as $left
| (.[1][0:1]) as $right
| $left == $right ;

5
Task/Amb/Jq/amb-5.jq Normal file
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@ -0,0 +1,5 @@
(["the","that","a"] | amb(true)) as $word1
| (["frog","elephant","thing"] | amb( [$word1, .] | joins)) as $word2
| (["walked","treaded","grows"] | amb( [$word2, .] | joins)) as $word3
| (["slowly","quickly"] | amb( [$word3, .] | joins)) as $word4
| [$word1, $word2,$word3, $word4]

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# This is a general purpose AMB function that takes a two-argument failure function and
# arbitrary number of iterable objects and returns the first solution found as an array
# this function is in essence an iterative backtracking solver
function amb(failure, itrs...)
n = length(itrs)
if n == 1 return end
states = Vector(n)
values = Vector(n)
# starting point, we put down the first value from the first iterable object
states[1] = start(itrs[1])
values[1], states[1] = next(itrs[1], states[1])
i = 1
# main solver loop
while true
# test for failure
if i > 1 && failure(values[i-1], values[i])
# loop for generating a new value upon failure
# in fact this would be way more readable using goto, but Julia doesn't seem to have that :(
while true
# if we failed, we must generate a new value, but first we must check whether there is any
if done(itrs[i], states[i])
# backtracking step with sanity check in case we ran out of values from the current generator
if i == 1
return
else
i -= 1
continue
end
else
# if there is indeed a new value, generate it
values[i], states[i] = next(itrs[i], states[i])
break
end
end
else
# no failure branch
# if solution is ready (i.e. all generators are used) just return it
if i == n return values end
# else start up the next generator
i += 1
states[i] = start(itrs[i])
values[i], states[i] = next(itrs[i], states[i])
end
end
end
# Call our generic AMB function according to the task description and
# form the solution sentence from the returned array of words
amb((s1,s2) -> s1[end] != s2[1], # failure function
["the", "that", "a"],
["frog", "elephant", "thing"],
["walked", "treaded", "grows"],
["slowly", "quickly"]) |>
x -> join(x, " ") |>
println

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@ -0,0 +1,2 @@
iter = Iterators.product(["the", "that", "a"], ["frog", "elephant", "thing"], ["walked", "treaded", "grows"], ["slowly", "quickly"])
@show [join(c, " ") for c in iter if all(i -> c[i][end] == c[i + 1][begin], 1:length(c)-1)] # ["that thing grows slowly"]

104
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// version 1.2.41
import kotlin.coroutines.experimental.*
import kotlin.coroutines.experimental.intrinsics.*
fun main(args: Array<String>) = amb {
val a = amb("the", "that", "a")
val b = amb("frog", "elephant", "thing")
val c = amb("walked", "treaded", "grows")
val d = amb("slowly", "quickly")
if (a[a.lastIndex] != b[0]) amb()
if (b[b.lastIndex] != c[0]) amb()
if (c[c.lastIndex] != d[0]) amb()
println(listOf(a, b, c, d))
val x = amb(1, 2, 3)
val y = amb(7, 6, 4, 5)
if (x * y != 8) amb()
println(listOf(x, y))
}
class AmbException(): Exception("Refusing to execute")
data class AmbPair<T>(val cont: Continuation<T>, val valuesLeft: MutableList<T>)
@RestrictsSuspension
class AmbEnvironment {
val ambList = mutableListOf<AmbPair<*>>()
suspend fun <T> amb(value: T, vararg rest: T): T = suspendCoroutineOrReturn { cont ->
if (rest.size > 0) {
ambList.add(AmbPair(clone(cont), mutableListOf(*rest)))
}
value
}
suspend fun amb(): Nothing = suspendCoroutine<Nothing> { }
}
@Suppress("UNCHECKED_CAST")
fun <R> amb(block: suspend AmbEnvironment.() -> R): R {
var result: R? = null
var toThrow: Throwable? = null
val dist = AmbEnvironment()
block.startCoroutine(receiver = dist, completion = object : Continuation<R> {
override val context: CoroutineContext get() = EmptyCoroutineContext
override fun resume(value: R) { result = value }
override fun resumeWithException(exception: Throwable) { toThrow = exception }
})
while (result == null && toThrow == null && !dist.ambList.isEmpty()) {
val last = dist.ambList.run { this[lastIndex] }
if (last.valuesLeft.size == 1) {
dist.ambList.removeAt(dist.ambList.lastIndex)
last.apply {
(cont as Continuation<Any?>).resume(valuesLeft[0])
}
} else {
val value = last.valuesLeft.removeAt(last.valuesLeft.lastIndex)
(clone(last.cont) as Continuation<Any?>).resume(value)
}
}
if (toThrow != null)
{
throw toThrow!!
}
else if (result != null)
{
return result!!
}
else
{
throw AmbException()
}
}
val UNSAFE = Class.forName("sun.misc.Unsafe")
.getDeclaredField("theUnsafe")
.apply { isAccessible = true }
.get(null) as sun.misc.Unsafe
@Suppress("UNCHECKED_CAST")
fun <T: Any> clone(obj: T): T {
val clazz = obj::class.java
val copy = UNSAFE.allocateInstance(clazz) as T
copyDeclaredFields(obj, copy, clazz)
return copy
}
tailrec fun <T> copyDeclaredFields(obj: T, copy: T, clazz: Class<out T>) {
for (field in clazz.declaredFields) {
field.isAccessible = true
val v = field.get(obj)
field.set(copy, if (v === obj) copy else v)
}
val superclass = clazz.superclass
if (superclass != null) copyDeclaredFields(obj, copy, superclass)
}

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val .wordsets = [
w/the that a/,
w/frog elephant thing/,
w/walked treaded grows/,
w/slowly quickly/,
]
val .alljoin = f(.words) for[=true] .i of len(.words)-1 {
if last(.words[.i]) != first(.words[.i+1]): break = false
}
# .amb expects 2 or more arguments
val .amb = f(...[2 .. -1] .words) if(.alljoin(.words): join " ", .words)
writeln join "\n", filter(mapX(.amb, .wordsets...))

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;; This is the exception that will be thrown if an amb expression is
;; unsatisfiable.
AmbError ::= Exception clone tap {
self message := "Amb expression failed".
AmbError := self.
}.
;; The Amb object itself is primarily for internal use. It stores the
;; "next" backtracking point if an amb expression outright fails or
;; exhausts its possibilities at some point.
Amb ::= Object clone tap {
;; The default "next" point is to throw an exception. This will be
;; overridden in many cases, if there is an actual next handler to
;; jump to.
self nextHandler := { AmbError clone throw. }.
Amb := self.
}.
callAmb := {
;; We need an object which will be accessible from inside the
;; continuations that will store the next backtracking point which
;; will be called.
backtracker := Amb clone.
;; We define the dynamically-scoped method $amb which will try each
;; possibility that it is given. If all of those possibilities fail,
;; it will call the next handler.
$amb := {
takes '[cases].
;; This is the return point. We're going to try each element of
;; the cases variable (probably an array, but it could feasibly be
;; any collection type). For each element, we'll jump to this
;; point (which will wind up being the end of the $amb method). If
;; it ends up failing, the backtrack point will get called and
;; we'll try the next one.
callCC {
escapable.
;; Get the current backtrack point from the toplevel object and
;; store it within this continuation. The backtrack object's
;; current backtrack point will change as we make new attempts,
;; but this prevHandler variable is stored locally in this scope
;; and will not change, so we can always use it later.
prevHandler := #'(backtracker nextHandler).
;; We iterate over the collection to try each element.
cases visit {
takes '[curr].
callCC {
;; This inner continuation will be our new backtrack point.
;; We store the continuation object itself in the backtrack
;; object so that future $amb calls know to return to this
;; point if something goes wrong.
nextExit := #'$1.
backtracker nextHandler := { nextExit call (Nil). }.
;; Now we actually try the value by jumping to the end of
;; the $amb method and returning control to the caller.
return (curr).
}.
}.
;; If we exhaust each possibility, then that means every value
;; in the cases variable has been tried and has failed. So we
;; set the backtrack point back to what it was before we tried
;; all of these values, and then we jump back to that previous
;; backtrack point.
backtracker nextHandler := #'(prevHandler).
prevHandler.
;; prevHandler will always either perform a continuation jump
;; (if there is a new backtrack point to try) or throw an
;; exception (if we've exhausted all possibilities), so this
;; continuation block will never exit normally.
}.
}.
;; An instant failure at a point in an amb expression is equivalent
;; to an $amb call on an empty collection.
$fail := { $amb (Nil). }.
;; Now that the dynamic variables are in place, let's call the
;; block.
#'($1) call.
}.

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callAmb {
x := $amb [1, 2, 3, 4].
y := $amb [7, 6, 4, 5].
(x * y == 8 ) ifFalse { $fail. }. ;; Note: $fail is equivalent to $amb [].
println [x, y]. ;; [2, 4]
}.

21
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function amb (set)
local workset = {}
if (#set == 0) or (type(set) ~= 'table') then return end
if #set == 1 then return set end
if #set > 2 then
local first = table.remove(set,1)
set = amb(set)
for i,v in next,first do
for j,u in next,set do
if v:byte(#v) == u[1]:byte(1) then table.insert(workset, {v,unpack(u)}) end
end
end
return workset
end
for i,v in next,set[1] do
for j,u in next,set[2] do
if v:byte(#v) == u:byte(1) then table.insert(workset,{v,u}) end
end
end
return workset
end

8
Task/Amb/Lua/amb-2.lua Normal file
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@ -0,0 +1,8 @@
result = amb({{'the','that','a'},{'frog','elephant','thing'},{'walked','treaded','grows'},{'slowly','quickly'}})
for i,v in next,result do
io.write (i,':\t')
for j,u in next,v do
io.write (u,' ')
end
io.write ('\n')
end

21
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@ -0,0 +1,21 @@
function T(t) return setmetatable(t, {__index=table}) end
table.each = function(t,f) for i=1,#t do f(t[i]) end return t end
table.map = function(t,f) local s=T{} for i=1,#t do s[i]=f(t[i]) end return s end
table.clone = function(t) local s=T{} for k,v in ipairs(t) do s[k]=v end return s end
table.filter = function(t,f) local s=T{} for i=1,#t do if f(t[i]) then s[#s+1]=t[i] end end return s end
function Amb(f, ...)
local function cartprod(...)
local sets, temp, prod = {...}, T{}, T{}
local function descend(depth)
for k,v in pairs(sets[depth]) do
temp[depth] = v
if (depth==#sets) then prod[#prod+1] = temp:clone() else descend(depth+1) end
temp[depth] = nil
end
end
descend(1)
return prod
end
return type(f)=='function' and cartprod(...):filter(f) or {f,...}
end

69
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print("Per task requirements:")
w1 = Amb('the','that','a')
w2 = Amb('frog','elephant','thing')
w3 = Amb('walked','treaded','grows')
w4 = Amb('slowly','quickly')
function rule(t) local a,b,c,d = unpack(t) return a:byte(#a)==b:byte(1) and b:byte(#b)==c:byte(1) and c:byte(#c)==d:byte(1) end
answers = Amb(rule, w1, w2, w3, w4)
answers:map(function(t) return t:concat(" ") end):each(print)
print()
print("Modified task, seek equal length of words:")
w1 = Amb('the','that','a','which')
w2 = Amb('red','green','blue','yellow')
w3 = Amb('frog','elephant','cow','thing')
w4 = Amb('walked','treaded','grew','shrunk')
w5 = Amb('slow','quick','moderately')
function rule(t) local a,b,c,d,e = unpack(t) return #a==#b and #b==#c and #c==#d and #d==#e end
answers = Amb(rule, w1, w2, w3, w4, w5)
answers:map(function(t) return t:concat(" ") end):each(print)
print()
print("Modified example, seek product of 12:")
x = Amb(1,2,3)
y = Amb(4,5,6)
function rule(t) local x,y = unpack(t) return x*y==12 end
answers = Amb(rule, x, y)
answers:map(function(t) return t:concat(" ") end):each(print)
print()
print("Pythagorean triples:")
x = Amb(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)
y = Amb(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)
z = Amb(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)
function rule(t) local x,y,z = unpack(t) return x^2 + y^2 == z^2 end
answers = Amb(rule, x, y, z)
answers:map(function(t) return t:concat(" ") end):each(print)
print()
print("When there is no solution:")
x = Amb(1,2,3)
y = Amb(4,5,6)
function rule(t) local x,y = unpack(t) return x*y==7 end
answers = Amb(rule, x, y, z)
print("#answers = " .. #answers)
print()
print("send + more = money:")
-- intuitive simplification applied: m must be 1 ==> others may not be 1 (reduces complexity from 10^8 to 9^7)
-- ("m is allowed to be leading zero" solutions exist, e.g. 2 8 1 7 0 3 6 5, and this could find them, but why?)
s = Amb(0,2,3,4,5,6,7,8,9)
e = Amb(0,2,3,4,5,6,7,8,9)
n = Amb(0,2,3,4,5,6,7,8,9)
d = Amb(0,2,3,4,5,6,7,8,9)
m = Amb(1)
o = Amb(0,2,3,4,5,6,7,8,9)
r = Amb(0,2,3,4,5,6,7,8,9)
y = Amb(0,2,3,4,5,6,7,8,9)
function rule(t)
for i=1,#t do for j=i+1,#t do if t[i]==t[j] then return false end end end
local s,e,n,d,m,o,r,y = unpack(t)
return s*1000 + e*100 + 10*n + d + m*1000 + o*100 + r*10 + e == m*10000 + o*1000 + n*100 + e*10 + y
end
answers = Amb(rule, s, e, n, d, m, o, r, y)
answers:map(function(t) return t:concat(" ") end):each(print)

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Module AmbFunction {
Function Amb (failure) {
// get an array of s items, return an array of 1 item
// we do this so we forget the type of element
getitem=lambda (n, c) -> {
dim z(1) :link c to c()
stock c(n) keep 1, z(0) // copy from c(n) to z(0) one item
=z()
}
read a
c1=lambda a, getitem (i, &any, &ret) ->{
any=getitem(i, a)
ret=any
=true
}
m=stack.size
if m=0 then Error "At least two arrays needed"
c=c1
while m>1 {
read b
c1=lambda c2=c, j=0, m=len(a), b, failure, getitem (i, &any, &ret) ->{
any=getitem(i, b)
ret=(,) : ok=false : anyother=(,)
do
if c2(j, &anyother, &ret) then
if not failure(any, anyother) then
ok=true
ret=cons(ret, any)
end if
end if
j++
until ok or j=m
if j=m then j=0
=ok
}
c=c1 : a=b : m--
}
read b
amb1=lambda c2=c, j=0, m=len(a), b, failure, getitem (&ret) ->{
ret=(,) : ok=false: anyother=(,)
k=each(b)
while k
any=getitem(k^, b)
do
if c2(j, &anyother, &ret) then
if not failure(any, anyother) then
ok=true
ret=cons(ret, any)
end if
end if
j++
until ok or j=m
if j=m then j=0
if ok then exit
end while
=ok
}
ret=(,)
if amb1(&ret) then =ret else =(,) ' default return value
}
a=(1, 2, 3)
b=(7, 6, 4, 5)
failure=lambda (a,b)->{
=a#val(0)*b#val(0)<>8
}
Print amb(failure, a, b)#str$()
a=("the", "that", "a")
b=("frog", "elephant", "thing")
c=("walked", "treaded", "grows")
d=("slowly", "quickly")
failure=lambda (a,b)->{
=left$(a#val$(0),1)<>right$(b#val$(0),1)
}
Print amb(failure, a, b, c, d)#str$()
}
AmbFunction

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Module AmbFunction {
Enum Solution {First, Any=-1}
Function Amb(way as Solution, failure) {
// get an array of s items, return an array of 1 item
// we do this so we forget the type of element
getitem=lambda (n, c) -> {
dim z(1) :link c to c()
stock c(n) keep 1, z(0) // copy from c(n) to z(0) one item
=z()
}
read a
c1=lambda i=0, a, getitem (&any, &ret) ->{
any=getitem(i, a)
ret=any
i++
ok=i=len(a)
if ok then i=0
=ok
}
m=stack.size
if m=0 then Error "At least two arrays needed"
c=c1
while m>0 {
read a
c1=lambda c2=c, i=0, a, getitem (&any, &ret) ->{
any=getitem(i, a)
ret=(,) : ok=false : anyother=(,)
ok=c2(&anyother, &ret)
ret=cons(ret, any)
if ok then i++
ok=i=len(a)
if ok then i=0
=ok
}
c=c1 : m--
}
ok=false
any=(,)
flush
while not ok
ret=(,)
ok=c(&any, &ret)
s=stack(ret)
if not failure(! s) then data ret : if way>0 then ok=true
End While
if empty then
ret=(("",),)
else
ret=array([])
end if
=ret
}
a=(1, 2, 3)
b=(7, 6, 4, 5)
failure=lambda (a,b)->{
=a*b<>8
}
Print Amb(First, failure, a, b)#val(0)#str$()
a=("the", "that", "a")
b=("frog", "elephant", "thing")
c=("walked", "treaded", "grows")
d=("slowly", "quickly")
failure=lambda (a$, b$, c$, d$)->{
def amb(x$, y$)=right$(x$,1)<>left$(y$,1)
=amb(a$,b$) or amb(b$,c$) or amb(c$, d$)
}
Print amb(First, failure, a, b, c, d)#Val(0)#str$()
Range=lambda (a, f) ->{
for i=a to f-1: data i: next
=array([])
}
Print "Small Pythagorean triples problem:"
a=range(1,11)
failure=lambda (a, b, z)->{
=not (a^2+b^2=z^2 and b>a)
}
all=amb(Any,failure, a, a, a)
k=each(all)
while k
z=array(k)
Print z#str$()
end while
a=range(1,6)
c=range(0,6)
N=9
failure=lambda N (a, b, c, d, e)->{
=not (a+b+c+d+e=N and a>=b and b>=c and c>=d and d>=e)
}
all=amb(Any,failure, a, a, c, c, c)
k=each(all)
document ret$
while k
z=array(k)
ret$=replace$("+0", " ", z#str$("+"))+" ="+str$(N)+{
}
end while
Sort descending ret$
Print #-2, ret$
clipboard ret$
}
AmbFunction

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CheckValid[i_List]:=If[Length[i]<=1,True,And@@(StringTake[#[[1]],-1]==StringTake[#[[2]],1]&/@Partition[i,2,1])]
sets={{"the","that","a"},{"frog","elephant","thing"},{"walked","treaded","grows"},{"slowly","quickly"}};
Select[Tuples[sets],CheckValid]

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{{"that", "thing", "grows", "slowly"}}

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CheckValid2[i_List] := StringFreeQ[StringJoin[Riffle[i, ","]], a_ ~~ "," ~~ b_ /; a =!= b]

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:- module amb.
:- interface.
:- import_module io.
:- pred main(io::di, io::uo) is cc_multi.
:- implementation.
:- import_module list, string, char, int.
main(!IO) :-
( solution(S) -> io.write_string(S, !IO), io.nl(!IO)
; io.write_string("No solutions found :-(\n", !IO) ).
:- pred solution(string::out) is nondet.
solution(S) :-
member(A, ["the", "that", "a"]),
member(N, ["frog", "elephant", "thing"]),
member(V, ["walked", "treaded", "grows"]),
member(E, ["slowly", "quickly"]),
S = join_list(" ", [A, N, V, E]),
rule1(A, N), rule1(N, V), rule1(V, E).
:- pred rule1(string::in, string::in) is semidet.
rule1(A, B) :- last_char(A) = C, first_char(B, C, _).
:- func last_char(string::in) = (char::out) is semidet.
last_char(S) = C :- index(S, length(S) - 1, C).

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:- pred noun(string).
:- mode noun(out) is multi. % provide any one noun.
:- mode noun(in) is semidet. % fail if given string isn't a known noun.
noun("frog").
noun("elephant").
noun("thing").

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/* REXX **************************************************************
* 25.08.2013 Walter Pachl derived from REXX version 2
*********************************************************************/
w=''
l=0
mm=0
mkset(1,'the that a if',w,mm,l)
mkset(2,'frog elephant thing',w,mm,l)
mkset(3,'walked treaded grows trots',w,mm,l)
mkset(4,'slowly quickly',w,mm,l)
show(w,mm,l)
Loop i=1 to 3 /* loop over sets */
k=i+1 /* the following set */
Loop ii=1 To 10 /* loop over elements in set k*/
If w[i,ii].words=i Then Do /* a sentence part found */
Loop jj=1 To 10 /* loop over following words */
If w[i,ii].right(1)=w[k,jj].left(1) Then Do /* fitting */
ns=w[i,ii]' 'w[k,jj] /* build new sentence (part) */
If ns.words=k Then /* 'complete' part */
add(w,k,ns) /* add to set k */
End
End
End
End
End
Say 'Results:'
Loop jj=1 To 10 /* show the results */
If w[4,jj].words=4 Then
Say '-->' w[4,jj]
End
method add(w,k,s) public static
/*********************************************************************
* add a fitting sentence (part) s to set w[k,*]
*********************************************************************/
Loop i=1 To 10 While w[k,i]>'' /* look for an empty slot */
End
w[k,i]=s /* add the sentence (part) */
Return
method mkset(n,arg,smp,mm,l) public static
/*********************************************************************
* create set smp[n,*] from data in arg
* mm[0] maximum number of elements in any set
* l[n] maximum word length in set n
*********************************************************************/
loop i = 1 to arg.words
smp[n,i] = arg.word(i)
If smp[n,i].length>l[n] Then
l[n]=smp[n,i].length
end
if i-1>mm[0] Then Do
mm[0]=i-1
End
return
method show(w,mm,l) public static
/*********************************************************************
* show the input
*********************************************************************/
Say 'Input:'
Loop j=1 To mm[0] /* output lines */
ol=''
Loop i=1 To 4
ol=ol w[i,j].left(l[i])
End
Say ol.strip
End;
say ''
Return

33
Task/Amb/Nim/amb.nim Normal file
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import sugar, strutils
proc amb(comp: proc(a, b: string): bool,
options: seq[seq[string]],
prev: string = ""): seq[string] =
if options.len == 0: return @[]
for opt in options[0]:
# If this is the base call, prev is nil and we need to continue.
if prev.len != 0 and not comp(prev, opt): continue
# Take care of the case where we have no options left.
if options.len == 1: return @[opt]
# Traverse into the tree.
let res = amb(comp, options[1..options.high], opt)
# If it was a failure, try the next one.
if res.len > 0: return opt & res # We have a match.
return @[]
const sets = @[@["the", "that", "a"],
@["frog", "elephant", "thing"],
@["walked", "treaded", "grows"],
@["slowly", "quickly"]]
let result = amb((s, t: string) => (s[s.high] == t[0]), sets)
if result.len == 0:
echo "No matches found!"
else:
echo result.join " "

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let set_1 = ["the"; "that"; "a"]
let set_2 = ["frog"; "elephant"; "thing"]
let set_3 = ["walked"; "treaded"; "grows"]
let set_4 = ["slowly"; "quickly"]
let combs ll =
let rec aux acc = function
| [] -> (List.map List.rev acc)
| hd::tl ->
let acc =
List.fold_left
(fun _ac l ->
List.fold_left (fun _ac v -> (v::l)::_ac) _ac hd
) [] acc
in
aux acc tl
in
aux [[]] ll
let last s = s.[pred(String.length s)]
let joined a b = (last a = b.[0])
let rec test = function
| a::b::tl -> (joined a b) && (test (b::tl))
| _ -> true
let print_set set =
List.iter (Printf.printf " %s") set;
print_newline();
;;
let () =
let sets = combs [set_1; set_2; set_3; set_4] in
let sets = List.filter test sets in
List.iter print_set sets;
;;

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let set_1 = [| "the"; "that"; "a" |]
let set_2 = [| "frog"; "elephant"; "thing" |]
let set_3 = [| "walked"; "treaded"; "grows" |]
let set_4 = [| "slowly"; "quickly" |]
let comb_search p aa =
let nx = Array.make (Array.length aa) 0 in
let lx = Array.map Array.length aa in
let la = Array.length aa in
let rec loop() =
let res = Array.mapi (fun i j -> aa.(i).(j)) nx in
if p res then (res)
else
( nx.(0) <- nx.(0) + 1;
if nx.(0) < lx.(0)
then loop()
else
( nx.(0) <- 0;
let rec roll n =
if n >= la then raise Not_found
else
( nx.(n) <- nx.(n) + 1;
if nx.(n) >= lx.(n)
then ( nx.(n) <- 0; roll (n+1) )
else loop()
)
in
roll 1
)
)
in
loop()
let last s = s.[pred(String.length s)]
let joined a b = (last a = b.[0])
let rec test = function
| a::b::tl -> (joined a b) && (test (b::tl))
| _ -> true
let test r = test(Array.to_list r)
let print_set set =
Array.iter (Printf.printf " %s") set;
print_newline();
;;
let () =
let result = comb_search test [| set_1; set_2; set_3; set_4 |] in
print_set result;
;;

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DEF VAR cset AS CHAR EXTENT 4 INIT [
"the,that,a",
"frog,elephant,thing",
"walked,treaded,grows",
"slowly,quickly"
].
FUNCTION getAmb RETURNS CHARACTER (
i_cwords AS CHAR,
i_iset AS INT
):
DEF VAR cresult AS CHAR.
DEF VAR ii AS INT.
DEF VAR cword AS CHAR.
DO ii = 1 TO NUM-ENTRIES( cset [ i_iset ] ) WHILE NUM-ENTRIES( cresult, " " ) < EXTENT( cset ):
cword = ENTRY( ii, cset[ i_iset ] ).
IF i_cwords = "" OR
SUBSTRING( i_cwords, LENGTH( i_cwords ), 1 ) = SUBSTRING( cword, 1, 1 )
THEN DO:
IF i_iset = EXTENT ( cset ) THEN
cresult = i_cwords + " " + cword.
ELSE
cresult = getAmb( i_cwords + " " + cword, i_iset + 1 ).
END.
END.
RETURN cresult.
END FUNCTION. /* getAmb */
MESSAGE getAmb( "", 1 ) VIEW-AS ALERT-BOX.

27
Task/Amb/Oz/amb.oz Normal file
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declare
fun {Amb Xs}
case Xs of nil then fail
[] [X] then X
[] X|Xr then
choice X
[] {Amb Xr}
end
end
end
fun {Example}
W1 = {Amb ["the" "that" "a"]}
W2 = {Amb ["frog" "elephant" "thing"]}
W3 = {Amb ["walked" "treaded" "grows"]}
W4 = {Amb ["slowly" "quickly"]}
in
{List.last W1 W2.1}
{List.last W2 W3.1}
{List.last W3 W4.1}
W1#" "#W2#" "#W3#" "#W4
end
in
{ForAll {SearchAll Example} System.showInfo}

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Amb(V)={
amb(vector(#V,i,vector(#V[i],j,Vec(V[i][j]))),[])
};
amb(V,s)={
if (#V == 0, return(concat(s)));
my(v=V[1],U=vecextract(V,2^#V-2),t,final=if(#s,s[#s]));
if(#s, s = concat(s,[" "]));
for(i=1,#v,
if ((#s == 0 || final == v[i][1]),
t = amb(U, concat(s, v[i]));
if (t, return(t))
)
);
0
};
Amb([["the","that","a"],["frog","elephant","thing"],["walked","treaded","grows"],["slowly","quickly"]])

86
Task/Amb/PL-I/amb.pli Normal file
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*process or(!) source attributes xref;
amb: Proc Options(main);
/*********************************************************************
* 25.08.2013 Walter Pachl
*********************************************************************/
Dcl w(4,10) Char(40) Var
Init('the','that','a','if',(6)(1)' ',
'frog','elephant','thing',(7)(1)' ',
'walked','treaded','grows','trots',(6)(1)' ',
'slowly','quickly',(8)(1)' ');
Dcl ns Char(40) Var;
Dcl (i,k,j,ii,jj,m,n) Bin Fixed(31);
n=hbound(w,1); /* number of sets */
m=hbound(w,2); /* max number of words in set */
Call show; /* show the input */
Do i=1 To n-1; /* loop over sets */
k=i+1; /* the following set */
Do ii=1 To m; /* loop over elements in set k*/
If words(w(i,ii))=i Then Do; /* a sentence part found */
Do jj=1 To m; /* loop over following words */
If right(w(i,ii),1)=left(w(k,jj),1) Then Do; /* fitting */
ns=w(i,ii)!!' '!!w(k,jj); /* build new sentence (part) */
If words(ns)=k Then /* 'complete' part */
Call add(k,ns); /* add to set k */
End;
End;
End;
End;
Do jj=1 To m; /* show the results */
If words(w(4,jj))=4 Then
put edit('--> ',w(4,jj))(Skip,a,a);
End;
add: Proc(ni,s);
/*********************************************************************
* add a sentence (part) to set ni
*********************************************************************/
Dcl (i,ni) Bin Fixed(31);
Dcl s Char(40) Var;
Do i=1 To m While(w(ni,i)>''); /* look for an empty slot */
End;
w(ni,i)=s; /* add the sentence (part) */
End;
words: Proc(s) Returns(Bin Fixed(31));
/*********************************************************************
* return the number of blank separated words in s
*********************************************************************/
Dcl s Char(40) Var;
Dcl nw Bin Fixed(31) Init(0);
Dcl i Bin Fixed(31) Init(1);
If s>'' Then Do;
nw=1;
Do i=1 To length(s);
If substr(s,i,1)=' ' Then
nw+=1;
End;
End;
Return(nw);
End;
show: Proc;
/*********************************************************************
* show the input sets
*********************************************************************/
Dcl (i,j,mm) Bin Fixed(31) Init(0);
Dcl l(4) Bin Fixed(31) Init((4)0);
Do i=1 To n;
Do j=1 To m;
If w(i,j)>'' Then Do;
mm=max(mm,j); /* max number of words in any set */
l(i)=max(l(i),length(w(i,j))); /* max word length in set i */
End;
End;
End;
Put Edit('Input:')(Skip,a);
Do j=1 To mm; /* output lines */
Put Skip;
Do i=1 To n;
Put Edit(w(i,j),' ')(a(l(i)),a);
End;
End;
Put Skip;
End;
End;

35
Task/Amb/Perl/amb-1.pl Normal file
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use strict;
use warnings;
use constant EXIT_FAILURE => 1;
use constant EXIT_SUCCESS => 0;
sub amb {
exit(EXIT_FAILURE) if !@_;
for my $word (@_) {
my $pid = fork;
die $! unless defined $pid;
return $word if !$pid;
my $wpid = waitpid $pid, 0;
die $! unless $wpid == $pid;
exit(EXIT_SUCCESS) if $? == EXIT_SUCCESS;
}
exit(EXIT_FAILURE);
}
sub joined {
my ($join_a, $join_b) = @_;
substr($join_a, -1) eq substr($join_b, 0, 1);
}
my $w1 = amb(qw(the that a));
my $w2 = amb(qw(frog elephant thing));
my $w3 = amb(qw(walked treaded grows));
my $w4 = amb(qw(slowly quickly));
amb() unless joined $w1, $w2;
amb() unless joined $w2, $w3;
amb() unless joined $w3, $w4;
print "$w1 $w2 $w3 $w4\n";
exit(EXIT_SUCCESS);

27
Task/Amb/Perl/amb-2.pl Normal file
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#!/usr/bin/perl
use strict;
use warnings;
use feature 'say';
use re 'eval';
sub amb :prototype($@) {
my $var = shift;
join ' || ', map { "(?{ $var = '$_' })" } @_;
}
sub joins {
substr(shift,-1,1) eq substr(shift,0,1)
}
my ($a,$b,$c,$d);
'' =~ m/
(??{ amb '$a', qw[the that a] })
(??{ amb '$b', qw[frog elephant thing] })
(??{ amb '$c', qw[walked treaded grows] })
(??{ amb '$d', qw[slowly quickly] })
(?(?{ joins($b, $c) })|(*FAIL))
(?(?{ joins($a, $b) })|(*FAIL))
(?(?{ joins($c, $d) })|(*FAIL))
(?{ say "$a $b $c $d" })
/x;

40
Task/Amb/Perl/amb-3.pl Normal file
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use strict;
use warnings;
sub amb {
if( @_ == 0 ) {
no warnings 'exiting';
next AMB;
}
my $code = pop;
my @words = @_;
my @index = (0) x @words;
AMB: while( 1 ) {
my @w = map $words[$_][$index[$_]], 0 .. $#_;
return $code->( @w );
} continue {
my $i = 0;
while( ++$index[$i] == @{$words[$i]} ) {
$index[$i] = 0;
return if ++$i == @index;
}
}
}
my @w1 = qw(the that a);
my @w2 = qw(frog elephant thing);
my @w3 = qw(walked treaded grows);
my @w4 = qw(slowly quickly);
sub joined {
my ($join_a, $join_b) = @_;
substr($join_a, -1) eq substr($join_b, 0, 1);
}
amb( \(@w1, @w2, @w3, @w4), sub {
my ($w1, $w2, $w3, $w4) = @_;
amb() unless joined($w1, $w2);
amb() unless joined($w2, $w3);
amb() unless joined($w3, $w4);
print "$w1 $w2 $w3 $w4\n";
});

39
Task/Amb/Phix/amb-1.phix Normal file
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(phixonline)-->
<span style="color: #008080;">function</span> <span style="color: #000000;">amb1</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">sets</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">object</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">ch</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">pass</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">></span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">pass</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span>
<span style="color: #008080;">else</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">))</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">ch</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">sets</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">][</span><span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]][$]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">])</span> <span style="color: #008080;">do</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">ch</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">or</span> <span style="color: #000000;">sets</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">][</span><span style="color: #000000;">k</span><span style="color: #0000FF;">][</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]=</span><span style="color: #000000;">ch</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">k</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">pass</span><span style="color: #0000FF;">,</span><span style="color: #000000;">res</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">amb1</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">,</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">pass</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">pass</span><span style="color: #0000FF;">,</span><span style="color: #000000;">res</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">sets</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #008000;">"the"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"that"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"a"</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{</span><span style="color: #008000;">"frog"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"elephant"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"thing"</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{</span><span style="color: #008000;">"walked"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"treaded"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"grows"</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{</span><span style="color: #008000;">"slowly"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"quickly"</span><span style="color: #0000FF;">}}</span>
<span style="color: #0000FF;">{</span><span style="color: #004080;">integer</span> <span style="color: #000000;">pass</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">amb1</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">pass</span> <span style="color: #008080;">then</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"success: "</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">sets</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #0000FF;">?</span><span style="color: #000000;">res</span>
<span style="color: #008080;">else</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"failure\n"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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(phixonline)-->
<span style="color: #008080;">function</span> <span style="color: #000000;">amb</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">sets</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">testrid</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">resrid</span><span style="color: #0000FF;">=-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">object</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">flag</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">==</span><span style="color: #000000;">0</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">pass</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">></span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">pass</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">resrid</span><span style="color: #0000FF;">!=-</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">resrid</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">,</span><span style="color: #000000;">res</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">else</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">flag</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">))</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">])</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">k</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">flag</span> <span style="color: #008080;">or</span> <span style="color: #000000;">testrid</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">),</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">pass</span><span style="color: #0000FF;">,</span><span style="color: #000000;">res</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">amb</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">,</span><span style="color: #000000;">testrid</span><span style="color: #0000FF;">,</span><span style="color: #000000;">resrid</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">),</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">pass</span> <span style="color: #008080;">and</span> <span style="color: #000000;">resrid</span><span style="color: #0000FF;">=-</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">pass</span><span style="color: #0000FF;">,</span><span style="color: #000000;">res</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">pairable</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">sets</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">sets</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">][</span><span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]][$]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">sets</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">][</span><span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">]][</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">AMB_Show</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">sets</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">sets</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"success: %v\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">res</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">pythagorean</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000080;font-style:italic;">/*sets*/</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">)</span>
<span style="color: #000080;font-style:italic;">-- (note that res[idx]==sets[idx][res[idx]] in all cases)</span>
<span style="color: #004080;">integer</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">x</span><span style="color: #0000FF;">,</span><span style="color: #000000;">y</span><span style="color: #0000FF;">,</span><span style="color: #000000;">z</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">res</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;"><</span><span style="color: #000000;">3</span> <span style="color: #008080;">or</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">x</span><span style="color: #0000FF;">*</span><span style="color: #000000;">x</span><span style="color: #0000FF;">+</span><span style="color: #000000;">y</span><span style="color: #0000FF;">*</span><span style="color: #000000;">y</span><span style="color: #0000FF;">=</span><span style="color: #000000;">z</span><span style="color: #0000FF;">*</span><span style="color: #000000;">z</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">pythag_show</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000080;font-style:italic;">/*sets*/</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"success: %v\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">res</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #000080;font-style:italic;">-- see http://www.randomhacks.net/articles/2005/10/11/amb-operator</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">not8</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">sets</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">)</span>
<span style="color: #000080;font-style:italic;">-- (note that idx==2 in all cases)
-- (at the last moment, I flipped the test, after realising that
-- someone had completely misunderstood the original article...
-- return sets[1][res[1]]*sets[idx][res[idx]]!=8</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">sets</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">][</span><span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]]*</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">][</span><span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">]]=</span><span style="color: #000000;">8</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">not8_show</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">sets</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"success: "</span><span style="color: #0000FF;">)</span>
<span style="color: #0000FF;">?{</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">][</span><span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]],</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">][</span><span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]]}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">sets</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #008000;">"the"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"that"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"a"</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{</span><span style="color: #008000;">"frog"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"elephant"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"thing"</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{</span><span style="color: #008000;">"walked"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"treaded"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"grows"</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{</span><span style="color: #008000;">"slowly"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"quickly"</span><span style="color: #0000FF;">}}</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">sets2</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #000000;">11</span><span style="color: #0000FF;">),</span><span style="color: #000000;">3</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">sets3</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">3</span><span style="color: #0000FF;">},</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">}}</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\nThe original:\n"</span><span style="color: #0000FF;">)</span>
<span style="color: #0000FF;">{}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">amb</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pairable</span><span style="color: #0000FF;">,</span><span style="color: #000000;">AMB_Show</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\nSmall Pythagorean triples problem:\n"</span><span style="color: #0000FF;">)</span>
<span style="color: #0000FF;">{}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">amb</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pythagorean</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pythag_show</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\nSome strange not 8 problem:\n"</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- (now fixed)</span>
<span style="color: #0000FF;">{}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">amb</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sets3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">not8</span><span style="color: #0000FF;">,</span><span style="color: #000000;">not8_show</span><span style="color: #0000FF;">)</span>
<!--

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go ?=>
% select which version of amb/2 and joins/2 to test
member(Amb,[amb,amb2]),
member(Joins,[joins,join2]),
println([amb=Amb,joins=Joins]),
test_amb(amb,joins, Word1,Word2,Word3,Word4),
println([Word1, Word2, Word3, Word4]),
nl,
fail, % get other solutions
nl.
go => true.
% Test a combination of amb and joins
test_amb(Amb,Joins, Word1,Word2,Word3,Word4) =>
call(Amb, Word1, ["the","that","a"]),
call(Amb, Word2, ["frog","elephant","thing"]),
call(Amb, Word3, ["walked","treaded","grows"]),
call(Amb, Word4, ["slowly","quickly"]),
call(Joins, Word1, Word2),
call(Joins, Word2, Word3),
call(Joins, Word3, Word4).
% Based on the Prolog solution.
amb(E, [E|_]).
amb(E, [_|ES]) :- amb(E, ES).
joins(Left, Right) =>
append(_, [T], Left),
append([R], _, Right),
( T != R -> amb(_, [])
; true ).
% Another approach, using member/2 for
% generating the words.
amb2([],[]).
amb2(Word,Words) :- member(Word,Words).
joins2(Word1,Word2) :- Word1.last() = Word2.first().

18
Task/Amb/PicoLisp/amb.l Normal file
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(be amb (@E @Lst)
(lst @E @Lst) )
(be joins (@Left @Right)
(^ @T (last (chop (-> @Left))))
(^ @R (car (chop (-> @Right))))
(or
((equal @T @R))
((amb @ NIL)) ) ) # Explicitly using amb fail as required
(be ambExample ((@Word1 @Word2 @Word3 @Word4))
(amb @Word1 ("the" "that" "a"))
(amb @Word2 ("frog" "elephant" "thing"))
(amb @Word3 ("walked" "treaded" "grows"))
(amb @Word4 ("slowly" "quickly"))
(joins @Word1 @Word2)
(joins @Word2 @Word3)
(joins @Word3 @Word4) )

17
Task/Amb/Prolog/amb.pro Normal file
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amb(E, [E|_]).
amb(E, [_|ES]) :- amb(E, ES).
joins(Left, Right) :-
append(_, [T], Left),
append([R], _, Right),
( T \= R -> amb(_, []) % (explicitly using amb fail as required)
; true ).
amb_example([Word1, Word2, Word3, Word4]) :-
amb(Word1, ["the","that","a"]),
amb(Word2, ["frog","elephant","thing"]),
amb(Word3, ["walked","treaded","grows"]),
amb(Word4, ["slowly","quickly"]),
joins(Word1, Word2),
joins(Word2, Word3),
joins(Word3, Word4).

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Procedure Words_Ok(String1.s, String2.s)
If Mid(String1,Len(String1),1)=Mid(String2,1,1)
ProcedureReturn #True
EndIf
ProcedureReturn #False
EndProcedure
Procedure.s Amb(Array A.s(1), Array B.s(1), Array C.s(1), Array D.s(1))
Protected a, b, c, d
For a=0 To ArraySize(A())
For b=0 To ArraySize(B())
For c=0 To ArraySize(C())
For d=0 To ArraySize(D())
If Words_Ok(A(a),B(b)) And Words_Ok(B(b),C(c)) And Words_Ok(C(c),D(d))
ProcedureReturn A(a)+" "+B(b)+" "+C(c)+" "+D(d)
EndIf
Next
Next
Next
Next
ProcedureReturn "" ; Empty string, e.g. fail
EndProcedure
If OpenConsole()
Define Text.s
Dim Set1.s(2)
Dim Set2.s(2)
Dim Set3.s(2)
Dim Set4.s(1)
Set1(0)="the": set1(1)="that": set1(2)="a"
Set2(0)="frog": set2(1)="elephant": set2(2)="thing"
Set3(0)="walked": set3(1)="treaded": set3(2)="grows"
Set4(0)="slowly": set4(1)="quickly"
text=Amb(set1(),set2(),Set3(),set4())
If Text<>""
PrintN("Correct sentence would be,"+#CRLF$+Text)
Else
PrintN("Failed to fine a correct sentence.")
EndIf
PrintN(#CRLF$+#CRLF$+"Press ENTER to exit."): Input()
CloseConsole()
EndIf

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import itertools as _itertools
class Amb(object):
def __init__(self):
self._names2values = {} # set of values for each global name
self._func = None # Boolean constraint function
self._valueiterator = None # itertools.product of names values
self._funcargnames = None # Constraint parameter names
def __call__(self, arg=None):
if hasattr(arg, '__code__'):
##
## Called with a constraint function.
##
globls = arg.__globals__ if hasattr(arg, '__globals__') else arg.func_globals
# Names used in constraint
argv = arg.__code__.co_varnames[:arg.__code__.co_argcount]
for name in argv:
if name not in self._names2values:
assert name in globls, \
"Global name %s not found in function globals" % name
self._names2values[name] = globls[name]
# Gather the range of values of all names used in the constraint
valuesets = [self._names2values[name] for name in argv]
self._valueiterator = _itertools.product(*valuesets)
self._func = arg
self._funcargnames = argv
return self
elif arg is not None:
##
## Assume called with an iterable set of values
##
arg = frozenset(arg)
return arg
else:
##
## blank call tries to return next solution
##
return self._nextinsearch()
def _nextinsearch(self):
arg = self._func
globls = arg.__globals__
argv = self._funcargnames
found = False
for values in self._valueiterator:
if arg(*values):
# Set globals.
found = True
for n, v in zip(argv, values):
globls[n] = v
break
if not found: raise StopIteration
return values
def __iter__(self):
return self
def __next__(self):
return self()
next = __next__ # Python 2
if __name__ == '__main__':
if True:
amb = Amb()
print("\nSmall Pythagorean triples problem:")
x = amb(range(1,11))
y = amb(range(1,11))
z = amb(range(1,11))
for _dummy in amb( lambda x, y, z: x*x + y*y == z*z ):
print ('%s %s %s' % (x, y, z))
if True:
amb = Amb()
print("\nRosetta Code Amb problem:")
w1 = amb(["the", "that", "a"])
w2 = amb(["frog", "elephant", "thing"])
w3 = amb(["walked", "treaded", "grows"])
w4 = amb(["slowly", "quickly"])
for _dummy in amb( lambda w1, w2, w3, w4: \
w1[-1] == w2[0] and \
w2[-1] == w3[0] and \
w3[-1] == w4[0] ):
print ('%s %s %s %s' % (w1, w2, w3, w4))
if True:
amb = Amb()
print("\nAmb problem from "
"http://www.randomhacks.net/articles/2005/10/11/amb-operator:")
x = amb([1, 2, 3])
y = amb([4, 5, 6])
for _dummy in amb( lambda x, y: x * y != 8 ):
print ('%s %s' % (x, y))

15
Task/Amb/Python/amb-2.py Normal file
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# joins :: String -> String -> Bool
def joins(a, b):
return a[-1] == b[0]
print (
[
' '.join([w1, w2, w3, w4])
for w1 in ['the', 'that', 'a']
for w2 in ['frog', 'elephant', 'thing']
for w3 in ['walked', 'treaded', 'grows']
for w4 in ['slowly', 'quickly']
if joins(w1, w2) and joins(w2, w3) and joins(w3, w4)
]
)

37
Task/Amb/Python/amb-3.py Normal file
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def main():
print (
unlines([
unwords([w1, w2, w3, w4])
for w1 in ['the', 'that', 'a']
if True
for w2 in ['frog', 'elephant', 'thing']
if joins(w1, w2)
for w3 in ['walked', 'treaded', 'grows']
if joins(w2, w3)
for w4 in ['slowly', 'quickly']
if joins(w3, w4)
])
)
# joins :: String -> String -> Bool
def joins(a, b):
return a[-1] == b[0]
# unlines :: [String] -> String
def unlines(xs):
return '\n'.join(xs)
# unwords :: [String] -> String
def unwords(xs):
return ' '.join(xs)
if __name__ == '__main__':
main()

79
Task/Amb/Python/amb-4.py Normal file
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from itertools import chain
# amb :: [a] -> (a -> [b]) -> [b]
def amb(xs):
return lambda f: list(
chain.from_iterable(
map(f, xs)
)
)
# main :: IO ()
def main():
xs = enumFromTo(1)(10)
print ('Pythagorean triples from integers 1-10:')
print (
amb(xs)(
lambda x: amb(xs)
(lambda y: amb(xs)
(lambda z: when(
x * x + y * y == z * z
)(
(x, y, z)
)
))
)
)
# joins :: String -> String -> Bool
def joins(a, b):
return a[-1] == b[0]
print ('\nRC problem given above:')
print (
amb(['the', 'that', 'a'])(
lambda w1: amb(
['frog', 'elephant', 'thing']
)(lambda w2: amb(
['walked', 'treaded', 'grows']
)(lambda w3: amb(
['slowly', 'quickly']
)(lambda w4: when(
joins(w1, w2) and joins(w2, w3) and joins(w3, w4)
)(
(w1, w2, w3, w4)
))))
)
)
print('\nAdditional problem reference in procedural version above:')
print(
amb([1, 2, 3])
(
lambda x: amb([4, 5, 6])
(
lambda y: when(x * y != 8)
(
(x, y)
)
)
)
)
# GENERIC -------------------------------------------------
# enumFromTo :: (Int, Int) -> [Int]
def enumFromTo(m):
return lambda n: list(range(m, 1 + n))
# when :: Bool -> [a] -> [a]
def when(p):
return lambda x: [x] if p else []
# MAIN ---
if __name__ == '__main__':
main()

42
Task/Amb/Python/amb-5.py Normal file
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from itertools import chain
# amb :: [a] -> (a -> [b]) -> [b]
def amb(xs):
return lambda f: list(
chain.from_iterable(
map(f, xs)
)
)
# when :: Bool -> [a] -> [a]
def when(p):
return lambda xs: xs if p else []
# TEST ----------------------------------------------------
# joins :: String -> String -> Bool
def joins(a, b):
return a[-1] == b[0]
print (
amb(['the', 'that', 'a'])(
lambda w1: when(True)
(amb(['frog', 'elephant', 'thing'])
(lambda w2: when(joins(w1, w2))
(amb(['walked', 'treaded', 'grows'])
(lambda w3: when(joins(w2, w3))
(amb(['slowly', 'quickly'])
(lambda w4: when(joins(w3, w4))(
[w1, w2, w3, w4]
))))))
)
)
)

23
Task/Amb/R/amb-1.r Normal file
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checkSentence <- function(sentence){
# Input: character vector
# Output: whether the sentence formed by the elements of the vector is valid
for (index in 1:(length(sentence)-1)){
first.word <- sentence[index]
second.word <- sentence[index+1]
last.letter <- substr(first.word, nchar(first.word), nchar(first.word))
first.letter <- substr(second.word, 1, 1)
if (last.letter != first.letter){ return(FALSE) }
}
return(TRUE)
}
amb <- function(sets){
# Input: list of character vectors containing all sets to consider
# Output: list of character vectors that are valid
all.paths <- apply(expand.grid(sets), 2, as.character)
all.paths.list <- split(all.paths, 1:nrow(all.paths))
winners <- all.paths.list[sapply(all.paths.list, checkSentence)]
return(winners)
}

14
Task/Amb/R/amb-2.r Normal file
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@ -0,0 +1,14 @@
sentence1 <- c("that", "thing", "grows", "slowly")
sentence2 <- c("rosetta", "code", "is", "cool")
sentence <- list(sentence1, sentence2)
sapply(sentence, checkSentence)
[1] TRUE FALSE
set1 <- c("the", "that", "a")
set2 <- c("frog", "elephant", "thing")
set3 <- c("walked", "treaded", "grows")
set4 <- c("slowly", "quickly")
sets <- list(set1, set2, set3, set4)
amb(sets)
$`26`
[1] "that" "thing" "grows" "slowly"

85
Task/Amb/REXX/amb-1.rexx Normal file
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/* REXX **************************************************************
* 25.08.2013 Walter Pachl derived from PL/I
*********************************************************************/
mm=0
w.=''
l.=0
Call mkset 1,'the that a if'
Call mkset 2,'frog elephant thing'
Call mkset 3,'walked treaded grows trots'
Call mkset 4,'slowly quickly'
Call show
Do i=1 to 3 /* loop over sets */
Call showm
k=i+1 /* the following set */
Do ii=1 To 10 /* loop over elements in set k*/
If words(w.i.ii)=i Then Do /* a sentence part found */
Do jj=1 To 10 /* loop over following words */
If right(w.i.ii,1)=left(w.k.jj,1) Then Do /* fitting */
ns=w.i.ii' 'w.k.jj /* build new sentence (part) */
If words(ns)=k Then /* 'complete' part */
Call add k,ns /* add to set k */
End
End
End
End
End
Do jj=1 To 10 /* show the results */
If words(w.4.jj)=4 Then
Say '-->' w.4.jj
End
Return
add: Procedure Expose w.
/*********************************************************************
* add a sentence (part) to set ni
*********************************************************************/
Parse Arg ni,s
Do i=1 To 10 While w.ni.i>'' /* look for an empty slot */
End
w.ni.i=s /* add the sentence (part) */
Return
mkset: Procedure Expose w. mm l.
/*********************************************************************
* initialize the sets
*********************************************************************/
Parse Arg i,wl
Do j=1 By 1 While wl<>''
Parse Var wl w.i.j wl
l.i=max(l.i,length(w.i.j))
End
mm=max(mm,j-1)
Return
show: Procedure Expose w. mm l.
/*********************************************************************
* show the input
*********************************************************************/
Say 'Input:'
Do j=1 To mm /* output lines */
ol=''
Do i=1 To 4
ol=ol left(w.i.j,l.i)
End
Say strip(ol)
End;
say ''
Return
showm: Procedure Expose w.
/*********************************************************************
* show the sets' contents
*********************************************************************/
dbg=0
If dbg Then Do
Do i=1 To 4
Do j=1 To 10
If w.i.j>'' Then
Say i j w.i.j
End
End
End
Return

18
Task/Amb/REXX/amb-2.rexx Normal file
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/*REXX program demonstrates the Amd operator, choosing a word from each set. */
@.1 = "the that a"
@.2 = "frog elephant thing"
@.3 = "walked treaded grows"
@.4 = "slowly quickly"
@.0 = 4 /*define the number of sets being ised.*/
call Amb 1 /*find all word combinations that works*/
exit /*stick a fork in it, we're all done. */
/*--------------------------------------------------------------------------------------*/
Amb: procedure expose @.; parse arg # x; arg . u /*ARG uppercases U value. */
if #>@.0 then do; y= word(u, 1) /*Y: is a uppercased U. */
do n=2 to words(u); ?= word(u, n)
if left(?, 1) \== right(y, 1) then return; y= ?
end /*n*/
say strip(x) /*¬show superfluous blanks.*/
end
do j=1 for words(@.#); call Amb #+1 x word(@.#, j) /*gen all combos recursively*/
end /*j*/; return

30
Task/Amb/Racket/amb.rkt Normal file
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#lang racket
;; A quick `amb' implementation (same as in the Twelve Statements task)
(define failures null)
(define (fail)
(if (pair? failures) ((first failures)) (error "no more choices!")))
(define (amb/thunks choices)
(let/cc k (set! failures (cons k failures)))
(if (pair? choices)
(let ([choice (first choices)]) (set! choices (rest choices)) (choice))
(begin (set! failures (rest failures)) (fail))))
(define-syntax-rule (amb E ...) (amb/thunks (list (lambda () E) ...)))
(define (assert condition) (unless condition (fail)))
;; Problem solution
(define (joins? left right)
(regexp-match? #px"(.)\0\\1" (~a left "\0" right)))
(let ([result (list (amb "the" "that" "a")
(amb "frog" "elephant" "thing")
(amb "walked" "treaded" "grows")
(amb "slowly" "quickly"))])
(for ([x result] [y (cdr result)]) (assert (joins? x y)))
result)
;; -> '("that" "thing" "grows" "slowly")

18
Task/Amb/Raku/amb-1.raku Normal file
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#| an array of four words, that have more possible values.
#| Normally we would want `any' to signify we want any of the values, but well negate later and thus we need `all'
my @a =
(all «the that a»),
(all «frog elephant thing»),
(all «walked treaded grows»),
(all «slowly quickly»);
sub test (Str $l, Str $r) {
$l.ends-with($r.substr(0,1))
}
(sub ($w1, $w2, $w3, $w4){
# return if the values are false
return unless [and] test($w1, $w2), test($w2, $w3),test($w3, $w4);
# say the results. If there is one more Container layer around them this doesn't work, this is why we need the arguments here.
say "$w1 $w2 $w3 $w4"
})(|@a); # supply the array as argumetns

17
Task/Amb/Raku/amb-2.raku Normal file
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# The Task #
my @firstSet = «the that a»;
my @secondSet = «frog elephant thing»;
my @thirdSet = «walked treaded grows»;
my @fourthSet = «slowly quickly»;
.say for doAmb [@firstSet, @secondSet, @thirdSet, @fourthSet];
sub doAmb( @lol ) { # Takes out the correct sentences.
my @sentences = map *.join(" "), [X] @lol;
grep &isAmb, @sentences;
}
sub isAmb( $sentence ) { # Checks `$sentence` for correctness.
$sentence !~~ / (.) " " (.) <!{$0 eq $1}> / # <https://docs.raku.org/language/regexes#Regex_boolean_condition_check>
}

41
Task/Amb/Red/amb.red Normal file
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Red ["Amb operator"]
findblock: function [
blk [block!]
][
foreach w blk [
if all [word? w block? get w] [return w]
if block? w [findblock w]
]
]
amb: function [
cond [block!]
][
either b: findblock cond [
foreach a get b [
cond2: replace/all/deep copy/deep cond b a
if amb cond2 [set b a return true]]
][do cond]
]
; examples
x: [1 2 3 4]
y: [4 5 6]
z: [5 2]
print amb [x * y * z = 8]
print [x y z]
a: ["the" "that" "a"]
b: ["frog" "elephant" "thing"]
c: ["walked" "treaded" "grows"]
d: ["slowly" "quickly"]
print amb [
all [
equal? last a first b
equal? last b first c
equal? last c first d
]
]
print [a b c d]

32
Task/Amb/Ring/amb.ring Normal file
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# Project : Amb
set1 = ["the","that","a"]
set2 = ["frog","elephant","thing"]
set3 = ["walked","treaded","grows"]
set4 = ["slowly","quickly"]
text = amb(set1,set2,set3,set4)
if text != ""
see "Correct sentence would be: " + nl + text + nl
else
see "Failed to fine a correct sentence."
ok
func wordsok(string1, string2)
if substr(string1,len(string1),1) = substr(string2,1,1)
return true
ok
return false
func amb(a,b,c,d)
for a2 = 1 to len(a)
for b2 =1 to len(b)
for c2 = 1 to len(c)
for d2 = 1 to len(d)
if wordsok(a[a2],b[b2]) and wordsok(b[b2],c[c2]) and wordsok(c[c2],d[d2])
return a[a2]+" "+b[b2]+" "+c[c2]+" "+d[d2]
ok
next
next
next
next
return ""

49
Task/Amb/Ruby/amb.rb Normal file
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require "continuation"
class Amb
class ExhaustedError < RuntimeError; end
def initialize
@fail = proc { fail ExhaustedError, "amb tree exhausted" }
end
def choose(*choices)
prev_fail = @fail
callcc { |sk|
choices.each { |choice|
callcc { |fk|
@fail = proc {
@fail = prev_fail
fk.call(:fail)
}
if choice.respond_to? :call
sk.call(choice.call)
else
sk.call(choice)
end
}
}
@fail.call
}
end
def failure
choose
end
def assert(cond)
failure unless cond
end
end
A = Amb.new
w1 = A.choose("the", "that", "a")
w2 = A.choose("frog", "elephant", "thing")
w3 = A.choose("walked", "treaded", "grows")
w4 = A.choose("slowly", "quickly")
A.choose() unless w1[-1] == w2[0]
A.choose() unless w2[-1] == w3[0]
A.choose() unless w3[-1] == w4[0]
puts w1, w2, w3, w4

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