1380 lines
28 KiB
C
1380 lines
28 KiB
C
/*************************************************************************
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* *
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* YAP Prolog *
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* *
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* Yap Prolog was developed at NCCUP - Universidade do Porto *
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* *
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* Copyright L.Damas, V.S.Costa and Universidade do Porto 1985-1997 *
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* *
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**************************************************************************
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* *
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* File: arith2.c *
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* Last rev: *
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* mods: *
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* comments: arithmetical expression evaluation *
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* *
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*************************************************************************/
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#ifdef SCCS
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static char SccsId[] = "%W% %G%";
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#endif
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/**
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@file arith2.c
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@addtogroup arithmetic_operators
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These are the binary numeric operators currently supported by YAP.
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- <b> _X_+ _Y_ [ISO]</b><p>
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Sum.
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- <b> _X_- _Y_ [ISO]</b><p>
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Difference.
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- <b> _X_\* _Y_ [ISO]</b><p>
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Product.
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- <b> _X_/ _Y_ [ISO]</b><p>
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Quotient.
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- <b> _X_// _Y_ [ISO]</b><p>
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Integer quotient.
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- <b> _X_ mod _Y_ [ISO]</b><p> @anchor mod_2
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Integer module operator, always positive.
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- <b> _X_ rem _Y_ [ISO]</b><p> @anchor rem_2
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Integer remainder, similar to `mod` but always has the same sign as `X`.
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- <b> _X_ div _Y_ [ISO]</b><p> @anchor div_2
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Integer division, as if defined by `( _X_ - _X_ mod _Y_)// _Y_`.
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- <b> max( _X_, _Y_) [ISO]</b><p> @anchor max_2
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The greater value of _X_ and _Y_.
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- <b> min( _X_, _Y_) [ISO]</b><p> @anchor min_2
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The lesser value of _X_ and _Y_.
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- <b> _X_ ^ _Y_ [ISO]</b><p>
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_X_ raised to the power of _Y_, (from the C-Prolog syntax).
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- <b> exp( _X_, _Y_)</b><p> @anchor exp_2
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_X_ raised to the power of _Y_, (from the Quintus Prolog syntax).
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- <b> _X_ \*\* _Y_ [ISO]</b><p>
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_X_ raised to the power of _Y_ (from ISO).
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- <b> _X_ /\\ _Y_ [ISO]</b><p>
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Integer bitwise conjunction.
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- <b> _X_ \\/ _Y_ [ISO]</b><p>
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Integer bitwise disjunction.
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- <b> _X_ # _Y_</b><p>
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Integer bitwise exclusive disjunction.
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- <b> _X_ \>\< _Y_</b><p>
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Integer bitwise exclusive disjunction.
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- <b> xor( _X_ , _Y_) [ISO]</b><p> @anchor xor_2
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Integer bitwise exclusive disjunction.
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- <b> _X_ \<\< _Y_</b><p>
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Integer bitwise left logical shift of _X_ by _Y_ places.
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- <b> _X_ \>\> _Y_ [ISO]</b><p>
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Integer bitwise right logical shift of _X_ by _Y_ places.
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- <b> gcd( _X_, _Y_)</b><p> @anchor gcd_2
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The greatest common divisor of the two integers _X_ and _Y_.
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- <b> atan( _X_, _Y_)</b><p> @anchor atan_2
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Four-quadrant arc tangent. Also available as `atan2/2`.
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- <b> atan2( _X_, _Y_) [ISO]</b><p> @anchor atan2_2
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Four-quadrant arc tangent.
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- <b> _X_ rdiv _Y_ [ISO]</b><p> @anchor rdiv_2
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Rational division.
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*/
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#include "Yap.h"
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#include "Yatom.h"
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#include "YapHeap.h"
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#include "eval.h"
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#include "arith2.h"
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typedef struct init_un_eval {
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char *OpName;
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arith2_op f;
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} InitBinEntry;
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static Term
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p_mod(Term t1, Term t2 USES_REGS) {
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switch (ETypeOfTerm(t1)) {
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case (CELL)long_int_e:
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switch (ETypeOfTerm(t2)) {
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case (CELL)long_int_e:
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/* two integers */
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{
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Int i1 = IntegerOfTerm(t1);
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Int i2 = IntegerOfTerm(t2);
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Int mod;
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if (i2 == 0)
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return Yap_ArithError(EVALUATION_ERROR_ZERO_DIVISOR, t2, "X is " Int_FORMAT " mod 0", i1);
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if (i1 == Int_MIN && i2 == -1) {
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return MkIntTerm(0);
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}
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mod = i1%i2;
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if (mod && (mod ^ i2) < 0)
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mod += i2;
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RINT(mod);
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}
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case (CELL)double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "mod/2");
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case (CELL)big_int_e:
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#ifdef USE_GMP
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return Yap_gmp_mod_int_big(IntegerOfTerm(t1), t2);
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#endif
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default:
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RERROR();
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break;
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}
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case (CELL)double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "mod/2");
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case (CELL)big_int_e:
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#ifdef USE_GMP
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switch (ETypeOfTerm(t2)) {
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case long_int_e:
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/* modulo between bignum and integer */
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{
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Int i2 = IntegerOfTerm(t2);
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if (i2 == 0)
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return Yap_ArithError(EVALUATION_ERROR_ZERO_DIVISOR, t2, "X is ... mod 0");
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return Yap_gmp_mod_big_int(t1, i2);
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}
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case (CELL)big_int_e:
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/* two bignums */
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return Yap_gmp_mod_big_big(t1, t2);
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case double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "mod/2");
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default:
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RERROR();
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}
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#endif
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default:
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RERROR();
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}
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}
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static Term
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p_div2(Term t1, Term t2 USES_REGS) {
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switch (ETypeOfTerm(t1)) {
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case (CELL)long_int_e:
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switch (ETypeOfTerm(t2)) {
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case (CELL)long_int_e:
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/* two integers */
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{
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Int i1 = IntegerOfTerm(t1);
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Int i2 = IntegerOfTerm(t2);
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Int res, mod;
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if (i2 == 0)
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return Yap_ArithError(EVALUATION_ERROR_ZERO_DIVISOR, t2, "X is " Int_FORMAT " div 0", i1);
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if (i1 == Int_MIN && i2 == -1) {
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#ifdef USE_GMP
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return Yap_gmp_add_ints(Int_MAX, 1);
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#else
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return Yap_ArithError(EVALUATION_ERROR_INT_OVERFLOW, t1,
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"// /2 with %d and %d", i1, i2);
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#endif
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}
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mod = i1%i2;
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if (mod && (mod ^ i2) < 0)
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mod += i2;
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res = (i1 - mod) / i2;
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RINT(res);
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}
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case (CELL)double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "div/2");
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case (CELL)big_int_e:
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#ifdef USE_GMP
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return Yap_gmp_div_int_big(IntegerOfTerm(t1), t2);
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#endif
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default:
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RERROR();
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break;
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}
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case (CELL)double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "div/2");
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case (CELL)big_int_e:
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#ifdef USE_GMP
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switch (ETypeOfTerm(t2)) {
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case long_int_e:
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/* modulo between bignum and integer */
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{
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Int i2 = IntegerOfTerm(t2);
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if (i2 == 0)
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return Yap_ArithError(EVALUATION_ERROR_ZERO_DIVISOR, t2, "X is ... div 0");
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return Yap_gmp_div2_big_int(t1, i2);
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}
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case (CELL)big_int_e:
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/* two bignums */
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return Yap_gmp_div2_big_big(t1, t2);
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case double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "div/2");
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default:
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RERROR();
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}
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#endif
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default:
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RERROR();
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}
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}
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static Term
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p_rem(Term t1, Term t2 USES_REGS) {
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switch (ETypeOfTerm(t1)) {
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case (CELL)long_int_e:
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switch (ETypeOfTerm(t2)) {
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case (CELL)long_int_e:
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/* two integers */
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{
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Int i1 = IntegerOfTerm(t1);
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Int i2 = IntegerOfTerm(t2);
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if (i2 == 0)
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return Yap_ArithError(EVALUATION_ERROR_ZERO_DIVISOR, t2, "X is " Int_FORMAT " rem 0", i1);
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if (i1 == Int_MIN && i2 == -1) {
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return MkIntTerm(0);
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}
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RINT(i1%i2);
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}
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case (CELL)double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "rem/2");
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case (CELL)big_int_e:
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#ifdef USE_GMP
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return Yap_gmp_rem_int_big(IntegerOfTerm(t1), t2);
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#endif
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default:
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RERROR();
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}
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break;
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case (CELL)double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t1, "rem/2");
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case (CELL)big_int_e:
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#ifdef USE_GMP
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switch (ETypeOfTerm(t2)) {
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case long_int_e:
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if (IntegerOfTerm(t2) == 0)
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return Yap_ArithError(EVALUATION_ERROR_ZERO_DIVISOR, t2, "X is ... rem 0");
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return Yap_gmp_rem_big_int(t1, IntegerOfTerm(t2));
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case (CELL)big_int_e:
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/* two bignums */
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return Yap_gmp_rem_big_big(t1, t2);
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case double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "rem/2");
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default:
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RERROR();
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}
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#endif
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default:
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RERROR();
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}
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}
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static Term
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p_rdiv(Term t1, Term t2 USES_REGS) {
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#ifdef USE_GMP
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switch (ETypeOfTerm(t1)) {
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case (CELL)double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "rdiv/2");
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case (CELL)long_int_e:
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switch (ETypeOfTerm(t2)) {
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case (CELL)long_int_e:
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/* two integers */
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{
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Int i1 = IntegerOfTerm(t1);
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Int i2 = IntegerOfTerm(t2);
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if (i2 == 0)
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return Yap_ArithError(EVALUATION_ERROR_ZERO_DIVISOR, t2, "X is " Int_FORMAT " rdiv 0", i1);
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return Yap_gmq_rdiv_int_int(i1, i2);
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}
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case (CELL)big_int_e:
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/* I know the term is much larger, so: */
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return Yap_gmq_rdiv_int_big(IntegerOfTerm(t1), t2);
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default:
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RERROR();
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}
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break;
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case (CELL)big_int_e:
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switch (ETypeOfTerm(t2)) {
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case long_int_e:
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if (IntegerOfTerm(t2) == 0)
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return Yap_ArithError(EVALUATION_ERROR_ZERO_DIVISOR, t2, "X is ... rdiv 0");
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/* I know the term is much larger, so: */
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return Yap_gmq_rdiv_big_int(t1, IntegerOfTerm(t2));
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case (CELL)big_int_e:
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return Yap_gmq_rdiv_big_big(t1, t2);
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case double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "rdiv/2");
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default:
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RERROR();
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}
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default:
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RERROR();
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}
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#else
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RERROR();
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#endif
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}
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/*
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Floating point division: /
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*/
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static Term
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p_fdiv(Term t1, Term t2 USES_REGS)
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{
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switch (ETypeOfTerm(t1)) {
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case long_int_e:
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switch (ETypeOfTerm(t2)) {
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case long_int_e:
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{
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Int i2 = IntegerOfTerm(t2);
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/* two integers */
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RFLOAT((((Float)IntegerOfTerm(t1))/(Float)i2));
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}
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case double_e:
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{
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/* integer, double */
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Float fl1 = (Float)IntegerOfTerm(t1);
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Float fl2 = FloatOfTerm(t2);
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RFLOAT(fl1/fl2);
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}
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case (CELL)big_int_e:
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#ifdef USE_GMP
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return Yap_gmp_fdiv_int_big(IntegerOfTerm(t1), t2);
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#endif
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default:
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RERROR();
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}
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break;
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case double_e:
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switch (ETypeOfTerm(t2)) {
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case long_int_e:
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/* float / integer */
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{
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Int i2 = IntegerOfTerm(t2);
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RFLOAT(FloatOfTerm(t1)/(Float)i2);
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}
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case double_e:
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{
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Float f2 = FloatOfTerm(t2);
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RFLOAT(FloatOfTerm(t1)/f2);
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}
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case big_int_e:
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#ifdef USE_GMP
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return Yap_gmp_fdiv_float_big(FloatOfTerm(t1), t2);
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#endif
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default:
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RERROR();
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}
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break;
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case big_int_e:
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#ifdef USE_GMP
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switch (ETypeOfTerm(t2)) {
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case long_int_e:
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return Yap_gmp_fdiv_big_int(t1, IntegerOfTerm(t2));
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case big_int_e:
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/* two bignums*/
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return Yap_gmp_fdiv_big_big(t1, t2);
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case double_e:
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return Yap_gmp_fdiv_big_float(t1, FloatOfTerm(t2));
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default:
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RERROR();
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}
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#endif
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default:
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RERROR();
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}
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RERROR();
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}
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/*
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xor #
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*/
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static Term
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p_xor(Term t1, Term t2 USES_REGS)
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{
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switch (ETypeOfTerm(t1)) {
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case long_int_e:
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switch (ETypeOfTerm(t2)) {
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case long_int_e:
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/* two integers */
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RINT(IntegerOfTerm(t1) ^ IntegerOfTerm(t2));
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case double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "#/2");
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case big_int_e:
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#ifdef USE_GMP
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return Yap_gmp_xor_int_big(IntegerOfTerm(t1), t2);
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#endif
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default:
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RERROR();
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}
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break;
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case double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t1, "#/2");
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case big_int_e:
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#ifdef USE_GMP
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switch (ETypeOfTerm(t2)) {
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case long_int_e:
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return Yap_gmp_xor_int_big(IntegerOfTerm(t2), t1);
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case big_int_e:
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return Yap_gmp_xor_big_big(t1, t2);
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case double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "#/2");
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default:
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RERROR();
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}
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#endif
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default:
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RERROR();
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}
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RERROR();
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}
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/*
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atan2: arc tangent x/y
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*/
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static Term
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p_atan2(Term t1, Term t2 USES_REGS)
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{
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switch (ETypeOfTerm(t1)) {
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case long_int_e:
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switch (ETypeOfTerm(t2)) {
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case long_int_e:
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/* two integers */
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RFLOAT(atan2(IntegerOfTerm(t1),IntegerOfTerm(t2)));
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case double_e:
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RFLOAT(atan2(IntegerOfTerm(t1),FloatOfTerm(t2)));
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case big_int_e:
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#ifdef USE_GMP
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{
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Int i1 = IntegerOfTerm(t1);
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Float f2 = Yap_gmp_to_float(t2);
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RFLOAT(atan2(i1,f2));
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}
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#endif
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default:
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RERROR();
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break;
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}
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case double_e:
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switch (ETypeOfTerm(t2)) {
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case long_int_e:
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/* float / integer */
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{
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Int i2 = IntegerOfTerm(t2);
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RFLOAT(atan2(FloatOfTerm(t1),i2));
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}
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case double_e:
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{
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Float f2 = FloatOfTerm(t2);
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RFLOAT(atan2(FloatOfTerm(t1),f2));
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}
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case big_int_e:
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#ifdef USE_GMP
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{
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RFLOAT(atan2(FloatOfTerm(t1),Yap_gmp_to_float(t2)));
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}
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#endif
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default:
|
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RERROR();
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}
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break;
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case big_int_e:
|
|
#ifdef USE_GMP
|
|
{
|
|
Float dbl1 = Yap_gmp_to_float(t1);
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
{
|
|
Int i = IntegerOfTerm(t2);
|
|
RFLOAT(atan2(dbl1,i));
|
|
}
|
|
case big_int_e:
|
|
/* two bignums */
|
|
RFLOAT(atan2(dbl1,Yap_gmp_to_float(t2)));
|
|
case double_e:
|
|
{
|
|
Float dbl = FloatOfTerm(t2);
|
|
RFLOAT(atan2(dbl1,dbl));
|
|
}
|
|
default:
|
|
RERROR();
|
|
}
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
RERROR();
|
|
}
|
|
|
|
|
|
/*
|
|
power: x^y
|
|
*/
|
|
static Term
|
|
p_power(Term t1, Term t2 USES_REGS)
|
|
{
|
|
switch (ETypeOfTerm(t1)) {
|
|
case long_int_e:
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
{
|
|
Int i2 = IntegerOfTerm(t2);
|
|
|
|
/* two integers */
|
|
RFLOAT(pow(IntegerOfTerm(t1),i2));
|
|
}
|
|
case double_e:
|
|
{
|
|
/* integer, double */
|
|
Float fl1 = (Float)IntegerOfTerm(t1);
|
|
Float fl2 = FloatOfTerm(t2);
|
|
RFLOAT(pow(fl1,fl2));
|
|
}
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
{
|
|
Int i1 = IntegerOfTerm(t1);
|
|
Float f2 = Yap_gmp_to_float(t2);
|
|
RFLOAT(pow(i1,f2));
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
break;
|
|
case double_e:
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
/* float / integer */
|
|
{
|
|
Int i2 = IntegerOfTerm(t2);
|
|
RFLOAT(pow(FloatOfTerm(t1),i2));
|
|
}
|
|
case double_e:
|
|
{
|
|
Float f2 = FloatOfTerm(t2);
|
|
RFLOAT(pow(FloatOfTerm(t1),f2));
|
|
}
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
{
|
|
RFLOAT(pow(FloatOfTerm(t1),Yap_gmp_to_float(t2)));
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
break;
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
{
|
|
Int i = IntegerOfTerm(t2);
|
|
RFLOAT(pow(Yap_gmp_to_float(t1),i));
|
|
}
|
|
case big_int_e:
|
|
/* two bignums */
|
|
RFLOAT(pow(Yap_gmp_to_float(t1),Yap_gmp_to_float(t2)));
|
|
case double_e:
|
|
{
|
|
Float dbl = FloatOfTerm(t2);
|
|
RFLOAT(pow(Yap_gmp_to_float(t1),dbl));
|
|
}
|
|
default:
|
|
RERROR();
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
RERROR();
|
|
}
|
|
|
|
/* next function is adapted from:
|
|
Inline C++ integer exponentiation routines
|
|
Version 1.01
|
|
Copyright (C) 1999-2004 John C. Bowman <bowman@math.ualberta.ca>
|
|
*/
|
|
static inline Int
|
|
ipow(Int x, Int p)
|
|
{
|
|
Int r;
|
|
|
|
if (p == 0) return ((CELL)1);
|
|
if (x == 0 && p > 0) return 0L;
|
|
if(p < 0)
|
|
return (-p % 2) ? x : ((CELL)1);
|
|
|
|
r = ((CELL)1);
|
|
for(;;) {
|
|
if(p & 1) {
|
|
if (mul_overflow((r*x), r, x)) {
|
|
return 0;
|
|
}
|
|
r *= x;
|
|
}
|
|
if((p >>= 1) == 0) return r;
|
|
if (mul_overflow((x*x), x, x)) {
|
|
return 0;
|
|
}
|
|
x *= x;
|
|
}
|
|
}
|
|
|
|
|
|
/*
|
|
power: x^y
|
|
*/
|
|
static Term
|
|
p_exp(Term t1, Term t2 USES_REGS)
|
|
{
|
|
switch (ETypeOfTerm(t1)) {
|
|
case long_int_e:
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
{
|
|
Int i1 = IntegerOfTerm(t1);
|
|
Int i2 = IntegerOfTerm(t2);
|
|
Int pow;
|
|
|
|
if (i2 < 0) {
|
|
return Yap_ArithError(DOMAIN_ERROR_NOT_LESS_THAN_ZERO, t2,
|
|
"%d ^ %d", i1, i2);
|
|
}
|
|
pow = ipow(i1,i2);
|
|
#ifdef USE_GMP
|
|
/* two integers */
|
|
if ((i1 && !pow)) {
|
|
/* overflow */
|
|
return Yap_gmp_exp_int_int(i1, i2);
|
|
}
|
|
#endif
|
|
RINT(pow);
|
|
}
|
|
case double_e:
|
|
{
|
|
/* integer, double */
|
|
Float fl1 = (Float)IntegerOfTerm(t1);
|
|
Float fl2 = FloatOfTerm(t2);
|
|
RFLOAT(pow(fl1,fl2));
|
|
}
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
{
|
|
Int i = IntegerOfTerm(t1);
|
|
return Yap_gmp_exp_int_big(i,t2);
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
break;
|
|
case double_e:
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
/* float / integer */
|
|
{
|
|
Int i2 = IntegerOfTerm(t2);
|
|
RFLOAT(pow(FloatOfTerm(t1),i2));
|
|
}
|
|
case double_e:
|
|
{
|
|
Float f2 = FloatOfTerm(t2);
|
|
RFLOAT(pow(FloatOfTerm(t1),f2));
|
|
}
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
{
|
|
RFLOAT(pow(FloatOfTerm(t1),Yap_gmp_to_float(t2)));
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
break;
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
{
|
|
Int i = IntegerOfTerm(t2);
|
|
return Yap_gmp_exp_big_int(t1,i);
|
|
}
|
|
case big_int_e:
|
|
/* two bignums, makes no sense */
|
|
return Yap_gmp_exp_big_big(t1,t2);
|
|
case double_e:
|
|
{
|
|
Float dbl = FloatOfTerm(t2);
|
|
RFLOAT(pow(Yap_gmp_to_float(t1),dbl));
|
|
}
|
|
default:
|
|
RERROR();
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
RERROR();
|
|
}
|
|
|
|
static Int
|
|
gcd(Int m11,Int m21 USES_REGS)
|
|
{
|
|
/* Blankinship algorithm, provided by Miguel Filgueiras */
|
|
Int m12=1, m22=0, k;
|
|
|
|
while (m11>0 && m21>0)
|
|
if (m11<m21) {
|
|
k = m21/m11; m21 -= k*m11; m22 -= k*m12;
|
|
} else {
|
|
k=m11/m21; m11 -= k*m21; m12 -= k*m22;
|
|
}
|
|
if (m11<0 || m21<0) { /* overflow? */
|
|
/* Oflow = 1; */
|
|
Yap_ArithError(EVALUATION_ERROR_INT_OVERFLOW, MkIntegerTerm(m11),
|
|
"gcd/2 with %d and %d", m11, m21);
|
|
return(1);
|
|
}
|
|
if (m11) return(m11);
|
|
return(m21);
|
|
}
|
|
|
|
#ifdef GCD_MULT
|
|
Int gcdmult(Int m11,Int m21,Int *pm11) /* *pm11 gets multiplier of m11 */
|
|
{
|
|
Int m12=1, m22=0, k;
|
|
|
|
while (m11 && m21)
|
|
if (m11<m21) {
|
|
k = m21/m11; m21 -= k*m11; m22 -= k*m12;
|
|
} else {
|
|
k=m11/m21; m11 -= k*m21; m12 -= k*m22;
|
|
}
|
|
if (m11<0 || m21<0) { /* overflow? */
|
|
/* Oflow = 1; */
|
|
Yap_ArithError(EVALUATION_ERROR_INT_OVERFLOW, MkIntegerTerm(m11),
|
|
"gcdmult/2 with %d and %d", m11, m21);
|
|
return(1);
|
|
}
|
|
if (m11) {
|
|
*pm11 = m12; return(m11);
|
|
}
|
|
*pm11 = m22;
|
|
return(m21);
|
|
}
|
|
#endif
|
|
|
|
/*
|
|
module gcd
|
|
*/
|
|
static Term
|
|
p_gcd(Term t1, Term t2 USES_REGS)
|
|
{
|
|
switch (ETypeOfTerm(t1)) {
|
|
case long_int_e:
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
/* two integers */
|
|
{
|
|
Int i1 = IntegerOfTerm(t1), i2 = IntegerOfTerm(t2);
|
|
i1 = (i1 >= 0 ? i1 : -i1);
|
|
i2 = (i2 >= 0 ? i2 : -i2);
|
|
|
|
RINT(gcd(i1,i2 PASS_REGS));
|
|
}
|
|
case double_e:
|
|
return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "gcd/2");
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
return Yap_gmp_gcd_int_big(IntegerOfTerm(t1), t2);
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
break;
|
|
case double_e:
|
|
return Yap_ArithError(TYPE_ERROR_INTEGER, t1, "gcd/2");
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
return Yap_gmp_gcd_int_big(IntegerOfTerm(t2), t1);
|
|
case big_int_e:
|
|
return Yap_gmp_gcd_big_big(t1, t2);
|
|
case double_e:
|
|
return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "gcd/2");
|
|
default:
|
|
RERROR();
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
RERROR();
|
|
}
|
|
|
|
/*
|
|
minimum: min(x,y)
|
|
*/
|
|
static Term
|
|
p_min(Term t1, Term t2)
|
|
{
|
|
switch (ETypeOfTerm(t1)) {
|
|
case long_int_e:
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
{
|
|
Int i1 = IntegerOfTerm(t1);
|
|
Int i2 = IntegerOfTerm(t2);
|
|
return((i1 < i2 ? t1 : t2));
|
|
}
|
|
case double_e:
|
|
{
|
|
/* integer, double */
|
|
Int i = IntegerOfTerm(t1);
|
|
Float fl = FloatOfTerm(t2);
|
|
if (i <= fl) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
}
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
if (Yap_gmp_cmp_int_big(IntegerOfTerm(t1), t2) < 0) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
break;
|
|
case double_e:
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
/* float / integer */
|
|
{
|
|
Int i = IntegerOfTerm(t2);
|
|
Float fl = FloatOfTerm(t1);
|
|
if (i <= fl) {
|
|
return t2;
|
|
}
|
|
return t1;
|
|
}
|
|
case double_e:
|
|
{
|
|
Float fl1 = FloatOfTerm(t1);
|
|
Float fl2 = FloatOfTerm(t2);
|
|
if (fl1 <= fl2) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
}
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
if (Yap_gmp_cmp_float_big(FloatOfTerm(t1), t2) < 0) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
break;
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
if (Yap_gmp_cmp_big_int(t1, IntegerOfTerm(t2)) < 0) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
case big_int_e:
|
|
if (Yap_gmp_cmp_big_big(t1, t2) < 0) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
case double_e:
|
|
if (Yap_gmp_cmp_big_float(t1, FloatOfTerm(t2)) < 0) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
default:
|
|
RERROR();
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
RERROR();
|
|
}
|
|
|
|
/*
|
|
maximum: max(x,y)
|
|
*/
|
|
static Term
|
|
p_max(Term t1, Term t2)
|
|
{
|
|
switch (ETypeOfTerm(t1)) {
|
|
case long_int_e:
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
{
|
|
Int i1 = IntegerOfTerm(t1);
|
|
Int i2 = IntegerOfTerm(t2);
|
|
return((i1 > i2 ? t1 : t2));
|
|
}
|
|
case double_e:
|
|
{
|
|
/* integer, double */
|
|
Int i = IntegerOfTerm(t1);
|
|
Float fl = FloatOfTerm(t2);
|
|
if (i >= fl) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
}
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
if (Yap_gmp_cmp_int_big(IntegerOfTerm(t1), t2) > 0) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
break;
|
|
case double_e:
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
/* float / integer */
|
|
{
|
|
Int i = IntegerOfTerm(t2);
|
|
Float fl = FloatOfTerm(t1);
|
|
if (i >= fl) {
|
|
return t2;
|
|
}
|
|
return t1;
|
|
}
|
|
case double_e:
|
|
{
|
|
Float fl1 = FloatOfTerm(t1);
|
|
Float fl2 = FloatOfTerm(t2);
|
|
if (fl1 >= fl2) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
}
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
if (Yap_gmp_cmp_float_big(FloatOfTerm(t1), t2) > 0) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
break;
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
if (Yap_gmp_cmp_big_int(t1, IntegerOfTerm(t2)) > 0) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
case big_int_e:
|
|
if (Yap_gmp_cmp_big_big(t1, t2) > 0) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
case double_e:
|
|
if (Yap_gmp_cmp_big_float(t1, FloatOfTerm(t2)) > 0) {
|
|
return t1;
|
|
}
|
|
return t2;
|
|
default:
|
|
RERROR();
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
RERROR();
|
|
}
|
|
|
|
static Term
|
|
eval2(Int fi, Term t1, Term t2 USES_REGS) {
|
|
arith2_op f = fi;
|
|
switch (f) {
|
|
case op_plus:
|
|
return p_plus(t1, t2 PASS_REGS);
|
|
case op_minus:
|
|
return p_minus(t1, t2 PASS_REGS);
|
|
case op_times:
|
|
return p_times(t1, t2 PASS_REGS);
|
|
case op_div:
|
|
return p_div(t1, t2 PASS_REGS);
|
|
case op_idiv:
|
|
return p_div2(t1, t2 PASS_REGS);
|
|
case op_and:
|
|
return p_and(t1, t2 PASS_REGS);
|
|
case op_or:
|
|
return p_or(t1, t2 PASS_REGS);
|
|
case op_sll:
|
|
return p_sll(t1, t2 PASS_REGS);
|
|
case op_slr:
|
|
return p_slr(t1, t2 PASS_REGS);
|
|
case op_mod:
|
|
return p_mod(t1, t2 PASS_REGS);
|
|
case op_rem:
|
|
return p_rem(t1, t2 PASS_REGS);
|
|
case op_fdiv:
|
|
return p_fdiv(t1, t2 PASS_REGS);
|
|
case op_xor:
|
|
return p_xor(t1, t2 PASS_REGS);
|
|
case op_atan2:
|
|
return p_atan2(t1, t2 PASS_REGS);
|
|
case op_power:
|
|
return p_exp(t1, t2 PASS_REGS);
|
|
case op_power2:
|
|
return p_power(t1, t2 PASS_REGS);
|
|
case op_gcd:
|
|
return p_gcd(t1, t2 PASS_REGS);
|
|
case op_min:
|
|
return p_min(t1, t2);
|
|
case op_max:
|
|
return p_max(t1, t2);
|
|
case op_rdiv:
|
|
return p_rdiv(t1, t2 PASS_REGS);
|
|
}
|
|
RERROR();
|
|
}
|
|
|
|
Term Yap_eval_binary(Int f, Term t1, Term t2)
|
|
{
|
|
CACHE_REGS
|
|
return eval2(f,t1,t2 PASS_REGS);
|
|
}
|
|
|
|
static InitBinEntry InitBinTab[] = {
|
|
{"+", op_plus},
|
|
{"-", op_minus},
|
|
{"*", op_times},
|
|
{"/", op_fdiv},
|
|
{"mod", op_mod},
|
|
{"rem", op_rem},
|
|
{"//", op_div},
|
|
{"div", op_idiv},
|
|
{"<<", op_sll},
|
|
{">>", op_slr},
|
|
{"/\\", op_and},
|
|
{"\\/", op_or},
|
|
{"#", op_xor},
|
|
{"><", op_xor},
|
|
{"xor", op_xor},
|
|
{"atan", op_atan2},
|
|
{"atan2", op_atan2},
|
|
/* C-Prolog exponentiation */
|
|
{"^", op_power},
|
|
/* ISO-Prolog exponentiation */
|
|
{"**", op_power2},
|
|
/* Quintus exponentiation */
|
|
{"exp", op_power2},
|
|
{"gcd", op_gcd},
|
|
{"min", op_min},
|
|
{"max", op_max},
|
|
{"rdiv", op_rdiv}
|
|
};
|
|
|
|
static Int
|
|
p_binary_is( USES_REGS1 )
|
|
{ /* X is Y */
|
|
Term t = Deref(ARG2);
|
|
Term t1, t2;
|
|
yap_error_number err;
|
|
|
|
if (IsVarTerm(t)) {
|
|
Yap_ArithError(INSTANTIATION_ERROR,t, "VAR(X , Y)");
|
|
return(FALSE);
|
|
}
|
|
Yap_ClearExs();
|
|
t1 = Yap_Eval(Deref(ARG3));
|
|
if ((err = Yap_FoundArithError())) {
|
|
Atom name;
|
|
if (IsIntTerm(t)) {
|
|
Int i = IntOfTerm(t);
|
|
name = Yap_NameOfBinaryOp(i);
|
|
} else {
|
|
name = AtomOfTerm(Deref(ARG2));
|
|
}
|
|
Yap_EvalError(err,ARG3,"X is ~s/2: error in first argument ", RepAtom(name)->StrOfAE);
|
|
return FALSE;
|
|
}
|
|
t2 = Yap_Eval(Deref(ARG4));
|
|
if ((err=Yap_FoundArithError())) {
|
|
Atom name;
|
|
if (IsIntTerm(t)) {
|
|
Int i = IntOfTerm(t);
|
|
name = Yap_NameOfBinaryOp(i);
|
|
} else {
|
|
name = AtomOfTerm(Deref(ARG2));
|
|
}
|
|
Yap_EvalError(err,ARG3,"X is ~s/2: error in first argument ", RepAtom(name)->StrOfAE);
|
|
return FALSE;
|
|
}
|
|
if (IsIntTerm(t)) {
|
|
Int i = IntOfTerm(t);
|
|
Term tout = eval2(i, t1, t2 PASS_REGS);
|
|
if ((err = Yap_FoundArithError()) != YAP_NO_ERROR) {
|
|
Term ts[2], terr;
|
|
Atom name = Yap_NameOfBinaryOp( i );
|
|
Functor f = Yap_MkFunctor( name, 2 );
|
|
ts[0] = t1;
|
|
ts[1] = t2;
|
|
terr = Yap_MkApplTerm( f, 2, ts );
|
|
Yap_EvalError(err, terr ,"error in %s/2 ", RepAtom(name)->StrOfAE);
|
|
return FALSE;
|
|
}
|
|
return Yap_unify_constant(ARG1,tout);
|
|
}
|
|
if (IsAtomTerm(t)) {
|
|
Atom name = AtomOfTerm(t);
|
|
ExpEntry *p;
|
|
Term out;
|
|
|
|
if (EndOfPAEntr(p = RepExpProp(Yap_GetExpProp(name, 2)))) {
|
|
Yap_EvalError(TYPE_ERROR_EVALUABLE, takeIndicator(t),
|
|
"functor %s/2 for arithmetic expression",
|
|
RepAtom(name)->StrOfAE);
|
|
P = FAILCODE;
|
|
return(FALSE);
|
|
}
|
|
out= eval2(p->FOfEE, t1, t2 PASS_REGS);
|
|
if ((err = Yap_FoundArithError()) != YAP_NO_ERROR) {
|
|
Term ts[2], terr;
|
|
Functor f = Yap_MkFunctor( name, 2 );
|
|
ts[0] = t1;
|
|
ts[1] = t2;
|
|
terr = Yap_MkApplTerm( f, 2, ts );
|
|
Yap_EvalError(err, terr ,"error in ~s/2 ", RepAtom(name)->StrOfAE);
|
|
return FALSE;
|
|
}
|
|
return Yap_unify_constant(ARG1,out);
|
|
}
|
|
return FALSE;
|
|
}
|
|
|
|
|
|
|
|
static Int
|
|
do_arith23(arith2_op op USES_REGS)
|
|
{ /* X is Y */
|
|
Term t = Deref(ARG1);
|
|
Int out;
|
|
Term t1, t2;
|
|
yap_error_number err;
|
|
|
|
Yap_ClearExs();
|
|
if (IsVarTerm(t)) {
|
|
Yap_EvalError(INSTANTIATION_ERROR,t, "X is Y");
|
|
return(FALSE);
|
|
}
|
|
t1 = Yap_Eval(t);
|
|
if (t1 == 0L)
|
|
return FALSE;
|
|
t2 = Yap_Eval(Deref(ARG2));
|
|
if (t2 == 0L)
|
|
return FALSE;
|
|
out= eval2(op, t1, t2 PASS_REGS);
|
|
if ((err=Yap_FoundArithError())) {
|
|
Term ts[2], t;
|
|
Functor f = Yap_MkFunctor( Yap_NameOfBinaryOp(op), 2 );
|
|
ts[0] = t1;
|
|
ts[1] = t2;
|
|
t = Yap_MkApplTerm( f, 2, ts );
|
|
Yap_EvalError(err, t ,"error in ~s(Y,Z) ",Yap_NameOfBinaryOp(op));
|
|
return FALSE;
|
|
}
|
|
return Yap_unify_constant(ARG3,out);
|
|
}
|
|
|
|
static Int
|
|
export_p_plus( USES_REGS1 )
|
|
{ /* X is Y */
|
|
return do_arith23(op_plus PASS_REGS);
|
|
}
|
|
|
|
static Int
|
|
export_p_minus( USES_REGS1 )
|
|
{ /* X is Y */
|
|
return do_arith23(op_minus PASS_REGS);
|
|
}
|
|
|
|
static Int
|
|
export_p_times( USES_REGS1 )
|
|
{ /* X is Y */
|
|
return do_arith23(op_times PASS_REGS);
|
|
}
|
|
|
|
static Int
|
|
export_p_div( USES_REGS1 )
|
|
{ /* X is Y */
|
|
return do_arith23(op_div PASS_REGS);
|
|
}
|
|
|
|
static Int
|
|
export_p_and( USES_REGS1 )
|
|
{ /* X is Y */
|
|
return do_arith23(op_and PASS_REGS);
|
|
}
|
|
|
|
static Int
|
|
export_p_or( USES_REGS1 )
|
|
{ /* X is Y */
|
|
return do_arith23(op_or PASS_REGS);
|
|
}
|
|
|
|
static Int
|
|
export_p_slr( USES_REGS1 )
|
|
{ /* X is Y */
|
|
return do_arith23(op_slr PASS_REGS);
|
|
}
|
|
|
|
static Int
|
|
export_p_sll( USES_REGS1 )
|
|
{ /* X is Y */
|
|
return do_arith23(op_sll PASS_REGS);
|
|
}
|
|
|
|
static Int
|
|
p_binary_op_as_integer( USES_REGS1 )
|
|
{ /* X is Y */
|
|
Term t = Deref(ARG1);
|
|
|
|
if (IsVarTerm(t)) {
|
|
Yap_EvalError(INSTANTIATION_ERROR,t, "X is Y");
|
|
return(FALSE);
|
|
}
|
|
if (IsIntTerm(t)) {
|
|
return Yap_unify_constant(ARG2,t);
|
|
}
|
|
if (IsAtomTerm(t)) {
|
|
Atom name = AtomOfTerm(t);
|
|
ExpEntry *p;
|
|
|
|
if (EndOfPAEntr(p = RepExpProp(Yap_GetExpProp(name, 2)))) {
|
|
return Yap_unify(ARG1,ARG2);
|
|
}
|
|
return Yap_unify_constant(ARG2,MkIntTerm(p->FOfEE));
|
|
}
|
|
return(FALSE);
|
|
}
|
|
|
|
Atom
|
|
Yap_NameOfBinaryOp(int i)
|
|
{
|
|
return Yap_LookupAtom(InitBinTab[i].OpName);
|
|
}
|
|
|
|
|
|
void
|
|
Yap_InitBinaryExps(void)
|
|
{
|
|
unsigned int i;
|
|
ExpEntry *p;
|
|
|
|
for (i = 0; i < sizeof(InitBinTab)/sizeof(InitBinEntry); ++i) {
|
|
AtomEntry *ae = RepAtom(Yap_LookupAtom(InitBinTab[i].OpName));
|
|
if (ae == NULL) {
|
|
Yap_EvalError(RESOURCE_ERROR_HEAP,TermNil,"at InitBinaryExps");
|
|
return;
|
|
}
|
|
WRITE_LOCK(ae->ARWLock);
|
|
if (Yap_GetExpPropHavingLock(ae, 2)) {
|
|
WRITE_UNLOCK(ae->ARWLock);
|
|
break;
|
|
}
|
|
p = (ExpEntry *) Yap_AllocAtomSpace(sizeof(ExpEntry));
|
|
p->KindOfPE = ExpProperty;
|
|
p->ArityOfEE = 2;
|
|
p->ENoOfEE = 2;
|
|
p->FOfEE = InitBinTab[i].f;
|
|
AddPropToAtom(ae, (PropEntry *)p);
|
|
WRITE_UNLOCK(ae->ARWLock);
|
|
}
|
|
Yap_InitCPred("is", 4, p_binary_is, TestPredFlag | SafePredFlag);
|
|
Yap_InitCPred("$binary_op_as_integer", 2, p_binary_op_as_integer, TestPredFlag|SafePredFlag);
|
|
Yap_InitAsmPred("$plus", 3, _plus, export_p_plus, SafePredFlag);
|
|
Yap_InitAsmPred("$minus", 3, _minus, export_p_minus, SafePredFlag);
|
|
Yap_InitAsmPred("$times", 3, _times, export_p_times, SafePredFlag);
|
|
Yap_InitAsmPred("$div", 3, _div, export_p_div, SafePredFlag);
|
|
Yap_InitAsmPred("$and", 3, _and, export_p_and, SafePredFlag);
|
|
Yap_InitAsmPred("$or", 3, _or, export_p_or, SafePredFlag);
|
|
Yap_InitAsmPred("$sll", 3, _sll, export_p_sll, SafePredFlag);
|
|
Yap_InitAsmPred("$slr", 3, _slr, export_p_slr, SafePredFlag);
|
|
}
|
|
|
|
/* This routine is called from Restore to make sure we have the same arithmetic operators */
|
|
int
|
|
Yap_ReInitBinaryExps(void)
|
|
{
|
|
return(TRUE);
|
|
}
|
|
|