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mercury/tests/dppd/groundunify_complex.m
Zoltan Somogyi 33eb3028f5 Clean up the tests in half the test directories.
tests/accumulator/*.m:
tests/analysis_*/*.m:
tests/benchmarks*/*.m:
tests/debugger*/*.{m,exp,inp}:
tests/declarative_debugger*/*.{m,exp,inp}:
tests/dppd*/*.m:
tests/exceptions*/*.m:
tests/general*/*.m:
tests/grade_subdirs*/*.m:
tests/hard_coded*/*.m:
    Make these tests use four-space indentation, and ensure that
    each module is imported on its own line. (I intend to use the latter
    to figure out which subdirectories' tests can be executed in parallel.)

    These changes usually move code to different lines. For the debugger tests,
    specify the new line numbers in .inp files and expect them in .exp files.
2015-02-14 20:14:03 +11:00

232 lines
8.5 KiB
Mathematica

%---------------------------------------------------------------------------%
% vim: ts=4 sw=4 et ft=mercury
%---------------------------------------------------------------------------%
%
The "groundunify.complex" Benchmark
Part of the DPPD Library.
General Description
A ground unification algorithm calculating explicit substitutions
which uses built-ins and negation. The program is taken from a
Lopstr'92 article by John Gallagher and Andre de Waal. More details
about this program can also be found in the technical report CW 210.
The benchmark program
unify(X, Y, S) :-
unify(X, Y, [], S).
unify(var(N), T, S, S1) :-
bound(var(N), S, B, V),
unify(var(N), T, S, S1, B, V).
unify(struct(F, Args), var(N), S, S1) :-
unify(var(N), struct(F, Args), S, S1).
unify(struct(F, Args1), struct(F, Args2), S, S2) :-
unifyargs(Args1, Args2, S, S2).
unify(var(_), T, S, S1, B, true) :-
unify(B, T, S, S1).
unify(var(N), T, S, S1, _, false) :-
unify1(T, var(N), S, S1).
unifyargs([], [], S, S).
unifyargs([T | Ts], [R | Rs], S, S2) :-
unify(T, R, S, S1),
unifyargs(Ts, Rs, S1, S2).
unify1(struct(F, Args), var(N), S, [var(N)/struct(F, Args) | S]) :-
\+(occur_args(var(N), Args, S)).
unify1(var(N), var(N), S, S).
unify1(var(M), var(N), S, S1) :-
M \== N,
bound(var(M), S, B, V),
unify1(var(M), var(N), S, S1, B, V).
unify1(var(_), var(N), S, S1, B, true) :-
unify1(B, var(N), S, S1).
unify1(var(M), var(N), S, [var(N)/var(M) | S], _, false).
bound(var(N), [var(N)/T | _], T, true) :-
T \== var(N).
bound(var(N), [B/_ | S], T, F) :-
B \== var(N),
bound(var(N), S, T, F).
bound(var(_), [], _, false).
dereference(var(N), [var(N)/T | _], T) :-
T \== var(N).
dereference(var(N), [B/_ | S], T) :-
B \== var(N),
dereference(var(N), S, T).
occur(var(N), var(M), S) :-
dereference(var(M), S, T),
occur(var(N), T, S).
occur(var(N), var(N), _).
occur(var(N), struct(_, Args), S) :-
occur_args(var(N), Args, S).
occur_args(var(N), [A | _], S) :-
occur(var(N), A, S).
occur_args(var(N), [_ | As], S) :-
occur_args(var(N), As, S).
The partial deduction query
:- unify(struct(p, [X, X]), struct(p, [struct(f, [Y, struct(a, [])]), Z]), Sub).
The run-time queries
:- unify(struct(p, [var(3), var(3)]),
struct(p, [struct(f, [var(2), struct(a, [])]), var(1)]), Sub).
:- unify(struct(p, [struct(a, []), struct(a, [])]),
struct(p, [struct(f, [var(2), struct(a, [])]), struct(a, [])]), Sub).
:- unify(struct(p, [var(1), var(1)]),
struct(p, [struct(f, [var(1), struct(a, [])]), var(2)]), Sub).
:- unify(struct(p, [struct(f, [var(1), struct(a, [])]),
struct(f, [var(1), struct(a, [])])]),
struct(p, [struct(f, [struct(b, []), struct(a, [])]), var(2)]), Sub).
Example solution
The best solution so far, using the ECCE partial deduction system runs
2.5 times faster than the original.
unify__1(var(X1), X2, X3, X4) :-
not(occur_args__2(X1, X2)),
unify__5(X2, struct(a, []), X3, ['/'(var(X1), struct(f, [X2, struct(a, [])]))], X4).
unify__1(struct(f, [X1, X2]), X3, X4, X5) :-
unify__3(X1, X3, X6),
unify_conj__4(X2, X6, X1, X2, X4, X5).
occur_args__2(X1, X2) :-
occur__11(X1, X2).
unify__3(var(X1), X2, X3) :-
unify1__24(X2, X1, X3).
unify__3(struct(X1, X2), var(X3), ['/'(var(X3), struct(X1, X2))]) :-
not(occur_args__10(X3, X2)).
unify__3(struct(X1, X2), struct(X1, X3), X4) :-
unifyargs__9(X2, X3, [], X4).
unify_conj__4(var(X1), X2, X3, X4, X5, X6) :-
bound_conj__23(X1, X2, X2, X3, X4, X5, X6).
unify_conj__4(struct(a, []), X1, X2, X3, X4, X5) :-
unify__5(X2, X3, X4, X1, X5).
unify__5(X1, X2, var(X3), X4, X5) :-
bound_conj__6(X3, X4, X1, X2, X5).
unify__5(X1, X2, struct(f, [X3, X4]), X5, X6) :-
unify__7(X1, X3, X5, X7),
unify__7(X2, X4, X7, X6).
bound_conj__6(X1, ['/'(var(X1), X2) | X3], X4, X5, X6) :-
X2 \= var(X1),
unify__21(X2, X4, X5, X1, X3, X6).
bound_conj__6(X1, ['/'(X2, X3) | X4], X5, X6, X7) :-
X2 \= var(X1),
bound_conj__12(X1, X4, f, [X5, X6], X2, X3, X4, X7).
bound_conj__6(X1, [], X2, X3, ['/'(var(X1), struct(f, [X2, X3]))]) :-
not(occur_args__22(X1, X2, X3)).
unify__7(var(X1), X2, X3, X4) :-
bound_conj__18(X1, X3, X2, X3, X4).
unify__7(struct(X1, X2), var(X3), X4, X5) :-
unify__8(X3, X1, X2, X4, X5).
unify__7(struct(X1, X2), struct(X1, X3), X4, X5) :-
unifyargs__9(X2, X3, X4, X5).
unify__8(X1, X2, X3, ['/'(var(X1), X4) | X5], X6) :-
X4 \= var(X1),
unify__13(X4, X2, X3, var(X1), X4, X5, X6).
unify__8(X1, X2, X3, ['/'(X4, X5) | X6], X7) :-
X4 \= var(X1),
bound_conj__12(X1, X6, X2, X3, X4, X5, X6, X7).
unify__8(X1, X2, X3, [], ['/'(var(X1), struct(X2, X3))]) :-
not(occur_args__10(X1, X3)).
unifyargs__9([], [], X1, X1).
unifyargs__9([X1 | X2], [X3 | X4], X5, X6) :-
unify__7(X1, X3, X5, X7),
unifyargs__9(X2, X4, X7, X6).
occur_args__10(X1, [X2 | X3]) :-
occur__11(X1, X2).
occur_args__10(X1, [X2, X3 | X4]) :-
occur_args__10(X1, [X3 | X4]).
occur__11(X1, var(X1)).
occur__11(X1, struct(X2, [X3 | X4])) :-
occur_args__10(X1, [X3 | X4]).
bound_conj__12(X1, ['/'(var(X1), X2) | X3], X4, X5, X6, X7, X8, X9) :-
X2 \= var(X1),
unify__13(X2, X4, X5, X6, X7, X8, X9).
bound_conj__12(X1, ['/'(X2, X3) | X4], X5, X6, X7, X8, X9, X10) :-
X2 \= var(X1),
bound_conj__12(X1, X4, X5, X6, X7, X8, X9, X10).
bound_conj__12(X1, [], X2, X3, X4, X5, X6, ['/'(var(X1), struct(X2, X3)), '/'(X4, X5) | X6])
:-
not(occur_args__14(X1, X3, ['/'(X4, X5) | X6])).
unify__13(var(X1), X2, X3, X4, X5, X6, X7) :-
bound_conj__17(X1, X4, X5, X6, X2, X3, X7).
unify__13(struct(X1, X2), X1, X3, X4, X5, X6, X7) :-
unifyargs__9(X2, X3, ['/'(X4, X5) | X6], X7).
occur_args__14(X1, [X2 | X3], X4) :-
occur__15(X1, X2, X4).
occur_args__14(X1, [X2, X3 | X4], X5) :-
occur_args__14(X1, [X3 | X4], X5).
occur__15(X1, var(X2), ['/'(X3, X4) | X5]) :-
dereference_conj__16(X2, X3, X4, X5, X1, X3, X4, X5).
occur__15(X1, var(X1), X2).
occur__15(X1, struct(X2, [X3 | X4]), X5) :-
occur_args__14(X1, [X3 | X4], X5).
dereference_conj__16(X1, var(X1), X2, X3, X4, X5, X6, X7) :-
X2 \= var(X1),
occur__15(X4, X2, ['/'(X5, X6) | X7]).
dereference_conj__16(X1, X2, X3, ['/'(X4, X5) | X6], X7, X8, X9, X10) :-
X2 \= var(X1),
dereference_conj__16(X1, X4, X5, X6, X7, X8, X9, X10).
bound_conj__17(X1, var(X1), X2, X3, X4, X5, X6) :-
X2 \= var(X1),
unify__13(X2, X4, X5, var(X1), X2, X3, X6).
bound_conj__17(X1, X2, X3, X4, X5, X6, X7) :-
X2 \= var(X1),
bound_conj__12(X1, X4, X5, X6, X2, X3, X4, X7).
bound_conj__18(X1, ['/'(var(X1), X2) | X3], X4, X5, X6) :-
X2 \= var(X1),
unify__7(X2, X4, X5, X6).
bound_conj__18(X1, ['/'(X2, X3) | X4], X5, X6, X7) :-
X2 \= var(X1),
bound_conj__18(X1, X4, X5, X6, X7).
bound_conj__18(X1, [], X2, X3, X4) :-
unify1__19(X2, X1, X3, X4).
unify1__19(struct(X1, X2), X3, X4, ['/'(var(X3), struct(X1, X2)) | X4]) :-
not(occur_args__14(X3, X2, X4)).
unify1__19(var(X1), X1, X2, X2).
unify1__19(var(X1), X2, X3, X4) :-
X1 \= X2,
bound_conj__20(X1, X3, X2, X3, X4).
bound_conj__20(X1, ['/'(var(X1), X2) | X3], X4, X5, X6) :-
X2 \= var(X1),
unify1__19(X2, X4, X5, X6).
bound_conj__20(X1, ['/'(X2, X3) | X4], X5, X6, X7) :-
X2 \= var(X1),
bound_conj__20(X1, X4, X5, X6, X7).
bound_conj__20(X1, [], X2, X3, ['/'(var(X2), var(X1)) | X3]).
unify__21(var(X1), X2, X3, X4, X5, X6) :-
var(X4) \= var(X1),
bound_conj__12(X1, X5, f, [X2, X3], var(X4), var(X1), X5, X6).
unify__21(struct(f, [X1, X2]), X3, X4, X5, X6, X7) :-
unify__7(X1, X3, ['/'(var(X5), struct(f, [X1, X2])) | X6], X8),
unify__7(X2, X4, X8, X7).
occur_args__22(X1, X2, X3) :- occur__11(X1, X2).
occur_args__22(X1, X2, X3) :- occur__11(X1, X3).
bound_conj__23(X1, ['/'(var(X1), X2) | X3], X4, X5, X6, X7, X8) :-
X2 \= var(X1),
unify_conj__4(X2, X4, X5, X6, X7, X8).
bound_conj__23(X1, ['/'(X2, X3) | X4], X5, X6, X7, X8, X9) :-
X2 \= var(X1),
bound_conj__23(X1, X4, X5, X6, X7, X8, X9).
bound_conj__23(X1, [], X2, X3, X4, X5, X6) :-
unify__5(X3, X4, X5, ['/'(var(X1), struct(a, [])) | X2], X6).
unify1__24(struct(X1, X2), X3, ['/'(var(X3), struct(X1, X2))]) :-
not(occur_args__10(X3, X2)).
unify1__24(var(X1), X1, []).
unify1__24(var(X1), X2, ['/'(var(X2), var(X1))]) :-
X1 \= X2.
_________________________________________________________________
Michael Leuschel / K.U. Leuven / michael@cs.kuleuven.ac.be