Longest increasing subsequence: Difference between revisions

→‎{{header|Picat}}: Split into subsections. Added {{out}}
(→‎{{header|Picat}}: Split into subsections. Added {{out}})
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=={{header|Picat}}==
===Mode-directed tabling===
Two methods:
{{trans|Prolog}}
* mode directed tabling: lis_mode/3 (Inspired by the Prolog version)
<lang Picat>table(+,+,max)
* constraint modelling: lis_cp/3. (For larger instances, the sat solver is generally faster than the cp solver.)
 
The mode directed tabling tends to be the fastest of the two methods.
 
<lang Picat>import sat. % for lis_cp
% import cp. % Slower than sat on larger instances.
 
go =>
nolog,
Tests = [
[3,2,6,4,5,1],
[0,8,4,12,2,10,6,14,1,9,5,13,3,11,7,15],
[1,1,1,1],
[4,65,2,-31,0,99,83,782,1]
],
Funs = [lis_mode, lis_cp],
foreach(Fun in Funs)
println(fun=Fun),
foreach(Test in Tests)
call(Fun,Test,Lis,Len),
printf("%w: LIS=%w (len=%d)\n",Test, Lis,Len)
end,
nl,
end,
nl.
 
 
%
% Mode directed tabling (inspired by the Prolog version)
%
table(+,+,max)
lis_mode(In, Out,OutLen) =>
one_is(In, [], Is),
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( Current = [], one_is(T, [H], Final));
( Current = [H1|_], H1 @< H, one_is(T, [H|Current], Final));
one_is(T, Current, Final).</lang>
 
% ===Constraint modelling approach.===
%
* constraint modelling: lis_cp/3. (For larger instances, the sat solver is generally faster than the cp solver.)
% Constraint modelling approach.
<lang Picat>lis_cp(S, Res,Z) =>
%
lis_cp(S, Res,Z) =>
Len = S.len,
X = new_list(Len),
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end.</lang>
 
===Test===
Both outputs:
<lang Picat>import sat. % for lis_cp
% import cp. % Slower than sat on larger instances.
 
go =>
nolog,
Tests = [
[3,2,6,4,5,1],
[0,8,4,12,2,10,6,14,1,9,5,13,3,11,7,15],
[1,1,1,1],
[4,65,2,-31,0,99,83,782,1]
],
Funs = [lis_mode, lis_cp],
foreach(Fun in Funs)
println(fun=Fun),
foreach(Test in Tests)
call(Fun,Test,Lis,Len),
printf("%w: LIS=%w (len=%d)\n",Test, Lis,Len)
end,
nl,
end,
nl.</lang>
 
{{out}}
<pre>[3,2,6,4,5,1]: LIS=[3,4,5] (len=3)
[0,8,4,12,2,10,6,14,1,9,5,13,3,11,7,15]: LIS=[0,4,6,9,13,15] (len=6)
Line 2,229 ⟶ 2,221:
[4,65,2,-31,0,99,83,782,1]: LIS=[4,65,99,782] (len=4)</pre>
 
The mode directed tabling tends to be the fastest of the two methods.
 
=={{header|PicoLisp}}==
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