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yap-6.3/C/cmppreds.c

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2015-08-07 22:57:53 +01:00
/*************************************************************************
* *
* YAP Prolog *
* *
* Yap Prolog was developed at NCCUP - Universidade do Porto *
* *
* Copyright L.Damas, V.S.Costa and Universidade do Porto 1985-1997 *
* *
**************************************************************************
* *
* File: cmppreds.c *
* Last rev: *
* mods: *
* comments: comparing two prolog terms *
* *
*************************************************************************/
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/// @file cmppreds.c
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/**
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@defgroup Comparing_Terms Comparing Terms
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@ingroup builtins
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The following predicates are used to compare and order terms, using the
standard ordering:
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+
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variables come before numbers, numbers come before atoms which in turn
come before compound terms, i.e.: variables @< numbers @< atoms @<
compound terms.
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+ Variables are roughly ordered by "age" (the "oldest" variable is put
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first);
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+
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Floating point numbers are sorted in increasing order;
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+
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Rational numbers are sorted in increasing order;
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+
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Integers are sorted in increasing order;
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+
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Atoms are sorted in lexicographic order;
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+
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Compound terms are ordered first by arity of the main functor, then by
the name of the main functor, and finally by their arguments in
left-to-right order.
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@{
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*/
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#ifdef SCCS
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static char SccsId[] = "%W% %G%";
#endif
#include "Yap.h"
#include "YapHeap.h"
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#include "Yatom.h"
#include "eval.h"
#if HAVE_STRING_H
#include <string.h>
#endif
#include <wchar.h>
#include "YapError.h"
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static Int compare(Term, Term);
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static Int p_compare(USES_REGS1);
static Int p_acomp(USES_REGS1);
static Int a_eq(Term, Term);
static Int a_dif(Term, Term);
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static Int a_gt(Term, Term);
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static Int a_ge(Term, Term);
static Int a_lt(Term, Term);
static Int a_le(Term, Term);
static Int a_noteq(Term, Term);
static Int a_gen_lt(Term, Term);
static Int a_gen_le(Term, Term);
static Int a_gen_gt(Term, Term);
static Int a_gen_ge(Term, Term);
#define rfloat(X) (X > 0.0 ? 1 : (X == 0.0 ? 0 : -1))
static int cmp_atoms(Atom a1, Atom a2) {
return strcmp(RepAtom(a1)->StrOfAE, RepAtom(a2)->StrOfAE);
}
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static Int compare_complex(register CELL *pt0, register CELL *pt0_end,
register CELL *pt1) {
CACHE_REGS
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register CELL **to_visit = (CELL **)HR;
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register Int out = 0;
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loop:
while (pt0 < pt0_end) {
register CELL d0, d1;
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++pt0;
++pt1;
d0 = Derefa(pt0);
d1 = Derefa(pt1);
if (IsVarTerm(d0)) {
if (IsVarTerm(d1)) {
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out = Signed(d0) - Signed(d1);
if (out)
goto done;
} else {
out = -1;
goto done;
}
} else if (IsVarTerm(d1)) {
out = 1;
goto done;
} else {
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if (d0 == d1)
continue;
else if (IsAtomTerm(d0)) {
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if (IsAtomTerm(d1))
out = cmp_atoms(AtomOfTerm(d0), AtomOfTerm(d1));
else if (IsPrimitiveTerm(d1))
out = 1;
else
out = -1;
/* I know out must be != 0 */
goto done;
} else if (IsIntTerm(d0)) {
if (IsIntTerm(d1))
out = IntOfTerm(d0) - IntOfTerm(d1);
else if (IsFloatTerm(d1)) {
out = 1;
} else if (IsLongIntTerm(d1)) {
out = IntOfTerm(d0) - LongIntOfTerm(d1);
#ifdef USE_GMP
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} else if (IsBigIntTerm(d1)) {
out = Yap_gmp_tcmp_int_big(IntOfTerm(d0), d1);
#endif
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} else if (IsRefTerm(d1))
out = 1;
else
out = -1;
if (out != 0)
goto done;
} else if (IsFloatTerm(d0)) {
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if (IsFloatTerm(d1)) {
out = rfloat(FloatOfTerm(d0) - FloatOfTerm(d1));
} else if (IsRefTerm(d1)) {
out = 1;
} else {
out = -1;
}
if (out != 0)
goto done;
} else if (IsStringTerm(d0)) {
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if (IsStringTerm(d1)) {
out = strcmp((char *)StringOfTerm(d0), (char *)StringOfTerm(d1));
} else if (IsIntTerm(d1))
out = 1;
else if (IsFloatTerm(d1)) {
out = 1;
} else if (IsLongIntTerm(d1)) {
out = 1;
#ifdef USE_GMP
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} else if (IsBigIntTerm(d1)) {
out = 1;
#endif
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} else if (IsRefTerm(d1)) {
out = 1;
} else {
out = -1;
}
if (out != 0)
goto done;
} else if (IsLongIntTerm(d0)) {
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if (IsIntTerm(d1))
out = LongIntOfTerm(d0) - IntOfTerm(d1);
else if (IsFloatTerm(d1)) {
out = 1;
} else if (IsLongIntTerm(d1)) {
out = LongIntOfTerm(d0) - LongIntOfTerm(d1);
#ifdef USE_GMP
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} else if (IsBigIntTerm(d1)) {
out = Yap_gmp_tcmp_int_big(LongIntOfTerm(d0), d1);
#endif
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} else if (IsRefTerm(d1)) {
out = 1;
} else {
out = -1;
}
if (out != 0)
goto done;
}
#ifdef USE_GMP
else if (IsBigIntTerm(d0)) {
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if (IsIntTerm(d1)) {
out = Yap_gmp_tcmp_big_int(d0, IntOfTerm(d1));
} else if (IsFloatTerm(d1)) {
out = 1;
} else if (IsLongIntTerm(d1)) {
out = Yap_gmp_tcmp_big_int(d0, LongIntOfTerm(d1));
} else if (IsBigIntTerm(d1)) {
out = Yap_gmp_tcmp_big_big(d0, d1);
} else if (IsRefTerm(d1))
out = 1;
else
out = -1;
if (out != 0)
goto done;
}
#endif
else if (IsPairTerm(d0)) {
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if (!IsPairTerm(d1)) {
if (IsApplTerm(d1)) {
Functor f = FunctorOfTerm(d1);
if (IsExtensionFunctor(f))
out = 1;
else if (!(out = 2 - ArityOfFunctor(f)))
out = strcmp(".", (char *)RepAtom(NameOfFunctor(f))->StrOfAE);
} else
out = 1;
goto done;
}
#ifdef RATIONAL_TREES
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to_visit[0] = pt0;
to_visit[1] = pt0_end;
to_visit[2] = pt1;
to_visit[3] = (CELL *)*pt0;
to_visit += 4;
*pt0 = d1;
#else
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/* store the terms to visit */
if (pt0 < pt0_end) {
to_visit[0] = pt0;
to_visit[1] = pt0_end;
to_visit[2] = pt1;
to_visit += 3;
}
#endif
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pt0 = RepPair(d0) - 1;
pt0_end = RepPair(d0) + 1;
pt1 = RepPair(d1) - 1;
continue;
} else if (IsRefTerm(d0)) {
if (IsRefTerm(d1))
out = Unsigned(RefOfTerm(d1)) - Unsigned(RefOfTerm(d0));
else
out = -1;
goto done;
} else if (IsApplTerm(d0)) {
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register Functor f;
register CELL *ap2, *ap3;
if (!IsApplTerm(d1)) {
out = 1;
goto done;
} else {
/* store the terms to visit */
Functor f2;
ap2 = RepAppl(d0);
ap3 = RepAppl(d1);
f = (Functor)(*ap2);
if (IsExtensionFunctor(f)) {
out = 1;
goto done;
}
f2 = (Functor)(*ap3);
if (IsExtensionFunctor(f2)) {
out = -1;
goto done;
}
/* compare functors */
if (f != (Functor)*ap3) {
if (!(out = ArityOfFunctor(f) - ArityOfFunctor(f2)))
out = cmp_atoms(NameOfFunctor(f), NameOfFunctor(f2));
goto done;
}
#ifdef RATIONAL_TREES
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to_visit[0] = pt0;
to_visit[1] = pt0_end;
to_visit[2] = pt1;
to_visit[3] = (CELL *)*pt0;
to_visit += 4;
*pt0 = d1;
#else
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/* store the terms to visit */
if (pt0 < pt0_end) {
to_visit[0] = pt0;
to_visit[1] = pt0_end;
to_visit[2] = pt1;
to_visit += 3;
}
#endif
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d0 = ArityOfFunctor(f);
pt0 = ap2;
pt0_end = ap2 + d0;
pt1 = ap3;
continue;
}
}
}
}
/* Do we still have compound terms to visit */
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if (to_visit > (CELL **)HR) {
#ifdef RATIONAL_TREES
to_visit -= 4;
pt0 = to_visit[0];
pt0_end = to_visit[1];
pt1 = to_visit[2];
*pt0 = (CELL)to_visit[3];
#else
to_visit -= 3;
pt0 = to_visit[0];
pt0_end = to_visit[1];
pt1 = to_visit[2];
#endif
goto loop;
}
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done:
/* failure */
#ifdef RATIONAL_TREES
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while (to_visit > (CELL **)HR) {
to_visit -= 4;
pt0 = to_visit[0];
pt0_end = to_visit[1];
pt1 = to_visit[2];
*pt0 = (CELL)to_visit[3];
}
#endif
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return (out);
}
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inline static Int compare(Term t1, Term t2) /* compare terms t1 and t2 */
{
if (t1 == t2)
return 0;
if (IsVarTerm(t1)) {
if (IsVarTerm(t2))
return Signed(t1) - Signed(t2);
return -1;
} else if (IsVarTerm(t2)) {
/* get rid of variables */
return 1;
}
if (IsAtomOrIntTerm(t1)) {
if (IsAtomTerm(t1)) {
if (IsAtomTerm(t2))
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return cmp_atoms(AtomOfTerm(t1), AtomOfTerm(t2));
if (IsPrimitiveTerm(t2))
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return 1;
if (IsStringTerm(t2))
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return 1;
return -1;
} else {
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if (IsIntTerm(t2)) {
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return IntOfTerm(t1) - IntOfTerm(t2);
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}
if (IsApplTerm(t2)) {
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Functor fun2 = FunctorOfTerm(t2);
switch ((CELL)fun2) {
case double_e:
return 1;
case long_int_e:
return IntOfTerm(t1) - LongIntOfTerm(t2);
#ifdef USE_GMP
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case big_int_e:
return Yap_gmp_tcmp_int_big(IntOfTerm(t1), t2);
#endif
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case db_ref_e:
return 1;
case string_e:
return -1;
}
}
return -1;
}
} else if (IsPairTerm(t1)) {
if (IsApplTerm(t2)) {
Functor f = FunctorOfTerm(t2);
if (IsExtensionFunctor(f))
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return 1;
else {
if (f != FunctorDot)
return strcmp(".", RepAtom(NameOfFunctor(f))->StrOfAE);
else {
return compare_complex(RepPair(t1) - 1, RepPair(t1) + 1, RepAppl(t2));
}
}
}
if (IsPairTerm(t2)) {
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return (
compare_complex(RepPair(t1) - 1, RepPair(t1) + 1, RepPair(t2) - 1));
} else
return 1;
} else {
/* compound term */
Functor fun1 = FunctorOfTerm(t1);
if (IsExtensionFunctor(fun1)) {
/* float, long, big, dbref */
switch ((CELL)fun1) {
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case double_e: {
if (IsFloatTerm(t2))
return (rfloat(FloatOfTerm(t1) - FloatOfTerm(t2)));
if (IsRefTerm(t2))
return 1;
return -1;
}
case long_int_e: {
if (IsIntTerm(t2))
return LongIntOfTerm(t1) - IntOfTerm(t2);
if (IsFloatTerm(t2)) {
return 1;
}
if (IsLongIntTerm(t2))
return LongIntOfTerm(t1) - LongIntOfTerm(t2);
#ifdef USE_GMP
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if (IsBigIntTerm(t2)) {
return Yap_gmp_tcmp_int_big(LongIntOfTerm(t1), t2);
}
#endif
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if (IsRefTerm(t2))
return 1;
return -1;
}
#ifdef USE_GMP
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case big_int_e: {
if (IsIntTerm(t2))
return Yap_gmp_tcmp_big_int(t1, IntOfTerm(t2));
if (IsFloatTerm(t2)) {
return 1;
}
if (IsLongIntTerm(t2))
return Yap_gmp_tcmp_big_int(t1, LongIntOfTerm(t2));
if (IsBigIntTerm(t2)) {
return Yap_gmp_tcmp_big_big(t1, t2);
}
if (IsRefTerm(t2))
return 1;
return -1;
}
#endif
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case string_e: {
if (IsApplTerm(t2)) {
Functor fun2 = FunctorOfTerm(t2);
switch ((CELL)fun2) {
case double_e:
return 1;
case long_int_e:
return 1;
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#ifdef USE_GMP
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case big_int_e:
return 1;
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#endif
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case db_ref_e:
return 1;
case string_e:
return strcmp((char *)StringOfTerm(t1), (char *)StringOfTerm(t2));
}
return -1;
}
return -1;
}
case db_ref_e:
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if (IsRefTerm(t2))
return Unsigned(RefOfTerm(t2)) - Unsigned(RefOfTerm(t1));
return -1;
}
}
if (!IsApplTerm(t2)) {
if (IsPairTerm(t2)) {
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Int out;
Functor f = FunctorOfTerm(t1);
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if (!(out = ArityOfFunctor(f)) - 2)
out = strcmp((char *)RepAtom(NameOfFunctor(f))->StrOfAE, ".");
return out;
}
return 1;
} else {
Functor fun2 = FunctorOfTerm(t2);
Int r;
if (IsExtensionFunctor(fun2)) {
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return 1;
}
r = ArityOfFunctor(fun1) - ArityOfFunctor(fun2);
if (r)
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return r;
r = cmp_atoms(NameOfFunctor(fun1), NameOfFunctor(fun2));
if (r)
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return r;
else
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return (compare_complex(RepAppl(t1), RepAppl(t1) + ArityOfFunctor(fun1),
RepAppl(t2)));
}
}
}
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Int Yap_compare_terms(Term d0, Term d1) {
return compare(Deref(d0), Deref(d1));
}
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/** @pred compare( _C_, _X_, _Y_) is iso
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As a result of comparing _X_ and _Y_, _C_ may take one of
the following values:
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+
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`=` if _X_ and _Y_ are identical;
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+
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`<` if _X_ precedes _Y_ in the defined order;
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+
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`>` if _Y_ precedes _X_ in the defined order;
*/
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Int p_compare(USES_REGS1) { /* compare(?Op,?T1,?T2) */
Int r = compare(Deref(ARG2), Deref(ARG3));
Atom p;
Term t = Deref(ARG1);
if (r < 0)
p = AtomLT;
else if (r > 0)
p = AtomGT;
else
p = AtomEQ;
if (!IsVarTerm(t)) {
if (IsAtomTerm(t)) {
Atom a = AtomOfTerm(t);
if (a == p)
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return true;
if (a != AtomLT && a != AtomGT && a != AtomEq)
Yap_Error(DOMAIN_ERROR_ORDER, ARG1, NULL);
} else {
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Yap_Error(TYPE_ERROR_ATOM, ARG1, NULL);
}
return false;
}
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return Yap_unify_constant(ARG1, MkAtomTerm(p));
}
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/** @pred _X_ \== _Y_ is iso
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Terms _X_ and _Y_ are not strictly identical.
*/
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static Int a_noteq(Term t1, Term t2) { return (compare(t1, t2) != 0); }
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static Int a_gen_lt(Term t1, Term t2) { return (compare(t1, t2) < 0); }
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/** @pred _X_ @=< _Y_ is iso
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Term _X_ does not follow term _Y_ in the standard order.
*/
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static Int a_gen_le(Term t1, Term t2) { return (compare(t1, t2) <= 0); }
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/** @pred _X_ @> _Y_ is iso
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Term _X_ does not follow term _Y_ in the standard order
*/
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static Int a_gen_gt(Term t1, Term t2) { return compare(t1, t2) > 0; }
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/** @pred _X_ @>= _Y_ is iso
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Term _X_ does not precede term _Y_ in the standard order.
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*/
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static Int a_gen_ge(Term t1, Term t2) { return compare(t1, t2) >= 0; }
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/**
@}
*/
/**
@defgroup arithmetic_cmps Arithmetic Comparison Predicates
@ingroup arithmetic
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Comparison of Numeric Expressions. Both arguments must be valid ground
expressions at time of call.
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@{
*/
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inline static Int int_cmp(Int dif) { return dif; }
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inline static Int flt_cmp(Float dif) {
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if (dif < 0.0)
return -1;
if (dif > 0.0)
return 1;
return dif = 0.0;
}
static Int a_cmp(Term t1, Term t2 USES_REGS) {
if (IsVarTerm(t1)) {
Yap_ArithError(INSTANTIATION_ERROR, t1,
"while doing arithmetic comparison");
}
if (IsVarTerm(t2)) {
Yap_ArithError(INSTANTIATION_ERROR, t2,
"while doing arithmetic comparison");
}
if (IsFloatTerm(t1) && IsFloatTerm(t2)) {
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return flt_cmp(FloatOfTerm(t1) - FloatOfTerm(t2));
}
if (IsIntegerTerm(t1) && IsIntegerTerm(t2)) {
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return int_cmp(IntegerOfTerm(t1) - IntegerOfTerm(t2));
}
t1 = Yap_Eval(t1);
if (!t1) {
return FALSE;
}
if (IsIntegerTerm(t1)) {
Int i1 = IntegerOfTerm(t1);
t2 = Yap_Eval(t2);
if (IsIntegerTerm(t2)) {
Int i2 = IntegerOfTerm(t2);
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return int_cmp(i1 - i2);
} else if (IsFloatTerm(t2)) {
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Float f2 = FloatOfTerm(t2);
#if HAVE_ISNAN
if (isnan(f2)) {
Yap_ArithError(EVALUATION_ERROR_UNDEFINED, t2,
"trying to evaluate nan");
}
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#endif
return flt_cmp(i1 - f2);
#ifdef USE_GMP
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} else if (IsBigIntTerm(t2)) {
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return Yap_gmp_cmp_int_big(i1, t2);
#endif
} else {
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return FALSE;
}
} else if (IsFloatTerm(t1)) {
Float f1 = FloatOfTerm(t1);
#if HAVE_ISNAN
if (isnan(f1)) {
Yap_ArithError(EVALUATION_ERROR_UNDEFINED, t1,
"trying to evaluate nan");
}
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#endif
t2 = Yap_Eval(t2);
#if HAVE_ISNAN
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if (isnan(f1))
return -1;
#endif
if (IsIntegerTerm(t2)) {
Int i2 = IntegerOfTerm(t2);
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return flt_cmp(f1 - i2);
} else if (IsFloatTerm(t2)) {
Float f2 = FloatOfTerm(t2);
#if HAVE_ISNAN
if (isnan(f2)) {
Yap_ArithError(EVALUATION_ERROR_UNDEFINED, t2,
"trying to evaluate nan");
}
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#endif
return flt_cmp(f1 - f2);
#ifdef USE_GMP
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} else if (IsBigIntTerm(t2)) {
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return Yap_gmp_cmp_float_big(f1, t2);
#endif
} else {
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return FALSE;
}
#ifdef USE_GMP
} else if (IsBigIntTerm(t1)) {
{
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t2 = Yap_Eval(t2);
if (IsIntegerTerm(t2)) {
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return Yap_gmp_cmp_big_int(t1, IntegerOfTerm(t2));
} else if (IsFloatTerm(t2)) {
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Float f2 = FloatOfTerm(t2);
#if HAVE_ISNAN
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if (isnan(f2)) {
Yap_ArithError(EVALUATION_ERROR_UNDEFINED, t2,
"trying to evaluate nan");
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}
#endif
return Yap_gmp_cmp_big_float(t1, f2);
} else if (IsBigIntTerm(t2)) {
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return Yap_gmp_cmp_big_big(t1, t2);
} else {
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return FALSE;
}
}
#endif
} else {
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return FALSE;
}
}
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Int Yap_acmp(Term t1, Term t2 USES_REGS) {
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Int out = a_cmp(t1, t2 PASS_REGS);
return out;
}
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static Int p_acomp(USES_REGS1) { /* $a_compare(?R,+X,+Y) */
Term t1 = Deref(ARG1);
Term t2 = Deref(ARG2);
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Int out;
out = a_cmp(t1, t2 PASS_REGS);
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return out;
}
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/**
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@pred +_X_ =:= _Y_ is iso
Equality of arithmetic expressions
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The value of the expression _X_ is equal to the value of expression _Y_.
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*/
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/// @memberof =:=/2
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static Int a_eq(Term t1, Term t2) {
CACHE_REGS
/* A =:= B */
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Int out;
t1 = Deref(t1);
t2 = Deref(t2);
if (IsVarTerm(t1)) {
Yap_Error(INSTANTIATION_ERROR, t1, "=:=/2");
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return (FALSE);
}
if (IsVarTerm(t2)) {
Yap_Error(INSTANTIATION_ERROR, t2, "=:=/2");
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return (FALSE);
}
if (IsFloatTerm(t1)) {
if (IsFloatTerm(t2))
return (FloatOfTerm(t1) == FloatOfTerm(t2));
else if (IsIntegerTerm(t2)) {
return (FloatOfTerm(t1) == IntegerOfTerm(t2));
}
}
if (IsIntegerTerm(t1)) {
if (IsIntegerTerm(t2)) {
return (IntegerOfTerm(t1) == IntegerOfTerm(t2));
} else if (IsFloatTerm(t2)) {
return (FloatOfTerm(t2) == IntegerOfTerm(t1));
}
}
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out = a_cmp(t1, t2 PASS_REGS);
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return out == 0;
}
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/*
@pred +_X_ =\\= _Y_ is iso
Difference of arithmetic expressions
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The value of the expression _X_ is different from the value of expression
_Y_.
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*/
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/// @memberof =\\=/2
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static Int a_dif(Term t1, Term t2) {
CACHE_REGS
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Int out = a_cmp(Deref(t1), Deref(t2) PASS_REGS);
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return out != 0;
}
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/**
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@pred +_X_ \> +_Y_ is iso
Greater than arithmetic expressions
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The value of the expression _X_ is less than or equal to the value
of expression _Y_.
*/
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static Int a_gt(Term t1, Term t2) { /* A > B */
CACHE_REGS
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Int out = a_cmp(Deref(t1), Deref(t2) PASS_REGS);
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return out > 0;
}
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/**
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@pred +_X_ >= +_Y_ is iso
Greater than or equal to arithmetic expressions
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The value of the expression _X_ is greater than or equal to the
value of expression _Y_.
*/
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static Int a_ge(Term t1, Term t2) { /* A >= B */
CACHE_REGS
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Int out = a_cmp(Deref(t1), Deref(t2) PASS_REGS);
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return out >= 0;
}
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/**
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@pred +_X_ \< +_Y_ is iso
Lesser than arithmetic expressions
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The value of the expression _X_ is less than the value of expression
_Y_.
*/
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/// @memberof </2
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static Int a_lt(Term t1, Term t2) { /* A < B */
CACHE_REGS
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Int out = a_cmp(Deref(t1), Deref(t2) PASS_REGS);
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return out < 0;
}
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/**
*
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@pred _X_ =< + _Y_
Lesser than or equal to arithmetic expressions
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The value of the expression _X_ is less than or equal to the value
of expression _Y_.
*/
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/// @memberof =</2
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static Int a_le(Term t1, Term t2) { /* A <= B */
CACHE_REGS
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Int out = a_cmp(Deref(t1), Deref(t2) PASS_REGS);
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return out <= 0;
}
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/**
@}
*/
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void Yap_InitCmpPreds(void) {
Yap_InitCmpPred("=:=", 2, a_eq, SafePredFlag | BinaryPredFlag);
Yap_InitCmpPred("=\\=", 2, a_dif, SafePredFlag | BinaryPredFlag);
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Yap_InitCmpPred(">", 2, a_gt, SafePredFlag | BinaryPredFlag);
Yap_InitCmpPred("=<", 2, a_le, SafePredFlag | BinaryPredFlag);
Yap_InitCmpPred("<", 2, a_lt, SafePredFlag | BinaryPredFlag);
Yap_InitCmpPred(">=", 2, a_ge, SafePredFlag | BinaryPredFlag);
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Yap_InitCPred("$a_compare", 3, p_acomp, TestPredFlag | SafePredFlag);
Yap_InitCmpPred("\\==", 2, a_noteq, BinaryPredFlag | SafePredFlag);
Yap_InitCmpPred("@<", 2, a_gen_lt, BinaryPredFlag | SafePredFlag);
Yap_InitCmpPred("@=<", 2, a_gen_le, BinaryPredFlag | SafePredFlag);
Yap_InitCmpPred("@>", 2, a_gen_gt, BinaryPredFlag | SafePredFlag);
Yap_InitCmpPred("@>=", 2, a_gen_ge, BinaryPredFlag | SafePredFlag);
Yap_InitCPred("compare", 3, p_compare, TestPredFlag | SafePredFlag);
}
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/**
@}
*/