547 lines
12 KiB
C
547 lines
12 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: arithi2.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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/* This file implements fast binary math operations for YAP
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*
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*/
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inline static int
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add_overflow(Int x, Int i, Int j)
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{
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return ((i & j & ~x) | (~i & ~j & x)) < 0;
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}
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inline static Term
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add_int(Int i, Int j)
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{
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Int x = i+j;
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#if USE_GMP
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/* Integer overflow, we need to use big integers */
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Int overflow = (i & j & ~x) | (~i & ~j & x);
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if (overflow < 0) {
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return(Yap_gmp_add_ints(i, j));
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}
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#endif
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#ifdef BEAM
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RINT(x);
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return( MkIntegerTerm (x));
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#else
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RINT(x);
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#endif
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}
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inline static int
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sub_overflow(Int x, Int i, Int j)
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{
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return ((i & ~j & ~x) | (~i & j & x)) < 0;
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}
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inline static Term
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sub_int(Int i, Int j)
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{
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Int x = i-j;
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#if USE_GMP
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Int overflow = ((i & ~j & ~x) | (~i & j & x)) < 0;
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/* Integer overflow, we need to use big integers */
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if (overflow) {
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return(Yap_gmp_sub_ints(i, j));
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}
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#endif
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#ifdef BEAM
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RINT(x);
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return( MkIntegerTerm (x));
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#else
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RINT(x);
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#endif
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}
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#ifdef __GNUC__
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#ifdef __i386__
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#define DO_MULTI() { Int tmp1; \
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__asm__ ("imull %3\n\t movl $0,%1\n\t jno 0f\n\t movl $1,%1\n\t 0:" \
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: "=a" (z), \
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"=d" (tmp1) \
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: "a" (i1), \
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"rm" (i2) \
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: "cc" ); \
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if (tmp1) goto overflow; \
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}
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#define OPTIMIZE_MULTIPLI 1
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#endif
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#endif
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inline static int
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mul_overflow(Int z, Int i1, Int i2)
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{
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if (i1 == Int_MIN && i2 == -1)
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return TRUE;
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return (i2 && z/i2 != i1);
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}
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#ifndef OPTIMIZE_MULTIPLI
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#define DO_MULTI() z = i1*i2; \
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if (i2 && z/i2 != i1) goto overflow
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#endif
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inline static Term
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times_int(Int i1, Int i2) {
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#ifdef USE_GMP
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Int z;
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DO_MULTI();
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RINT(z);
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overflow:
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{
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return(Yap_gmp_mul_ints(i1, i2));
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}
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#else
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RINT(i1*i2);
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#endif
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}
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#if USE_GMP
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static inline int
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sl_overflow(Int i,Int j)
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{
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Int x = (8*sizeof(CELL)-2)-j;
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CELL t = (1<<x)-1;
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if (x < 0) return TRUE;
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t = (1<<x)-1;
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return (t & i) != i;
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}
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#endif
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inline static Term
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do_sll(Int i, Int j)
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{
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#ifdef USE_GMP
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if (sl_overflow(i,j)) {
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return Yap_gmp_sll_ints(i, j);
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}
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#endif
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RINT(i << j);
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}
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static inline Term
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p_plus(Term t1, Term t2) {
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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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return add_int(IntegerOfTerm(t1),IntegerOfTerm(t2));
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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 big_int_e:
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#ifdef USE_GMP
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return(Yap_gmp_add_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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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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RFLOAT(FloatOfTerm(t1)+IntegerOfTerm(t2));
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case double_e:
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RFLOAT(FloatOfTerm(t1)+FloatOfTerm(t2));
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case big_int_e:
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#ifdef USE_GMP
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return Yap_gmp_add_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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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_add_int_big(IntegerOfTerm(t2), t1);
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case big_int_e:
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/* two bignums */
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return Yap_gmp_add_big_big(t1, t2);
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case double_e:
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return Yap_gmp_add_float_big(FloatOfTerm(t2),t1);
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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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static Term
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p_minus(Term t1, Term t2) {
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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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return sub_int(IntegerOfTerm(t1), IntegerOfTerm(t2));
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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 big_int_e:
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#ifdef USE_GMP
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return Yap_gmp_sub_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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RFLOAT(FloatOfTerm(t1)-IntegerOfTerm(t2));
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case double_e:
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{
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RFLOAT(FloatOfTerm(t1)-FloatOfTerm(t2));
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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_sub_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_sub_big_int(t1, IntegerOfTerm(t2));
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case big_int_e:
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return Yap_gmp_sub_big_big(t1, t2);
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case double_e:
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return Yap_gmp_sub_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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static Term
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p_times(Term t1, Term t2) {
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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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return(times_int(IntegerOfTerm(t1),IntegerOfTerm(t2)));
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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 big_int_e:
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#ifdef USE_GMP
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return(Yap_gmp_mul_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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RFLOAT(FloatOfTerm(t1)*IntegerOfTerm(t2));
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case double_e:
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RFLOAT(FloatOfTerm(t1)*FloatOfTerm(t2));
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case big_int_e:
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#ifdef USE_GMP
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return Yap_gmp_mul_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_mul_int_big(IntegerOfTerm(t2), t1);
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case big_int_e:
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/* two bignums */
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return Yap_gmp_mul_big_big(t1, t2);
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case double_e:
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return Yap_gmp_mul_float_big(FloatOfTerm(t2),t1);
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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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static Term
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p_div(Term t1, Term t2) {
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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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{
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Int i1 = IntegerOfTerm(t1), i2 = IntegerOfTerm(t2);
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if (i2 == 0) {
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return Yap_ArithError(EVALUATION_ERROR_ZERO_DIVISOR, t2, "// /2");
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} else 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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"rem/2 with %d and %d", i1, i2);
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#endif
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} else {
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RINT(IntegerOfTerm(t1) / i2);
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}
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}
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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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/* dividing a bignum by an integer */
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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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}
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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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/* dividing a bignum by an integer */
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return Yap_gmp_div_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_div_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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static Term
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p_and(Term t1, Term t2) {
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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_and_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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/* anding a bignum with an integer is easy */
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return Yap_gmp_and_int_big(IntegerOfTerm(t2),t1);
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case big_int_e:
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/* two bignums */
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return Yap_gmp_and_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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static Term
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p_or(Term t1, Term t2) {
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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_ior_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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/* anding a bignum with an integer is easy */
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return Yap_gmp_ior_int_big(IntegerOfTerm(t2),t1);
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case big_int_e:
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/* two bignums */
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return Yap_gmp_ior_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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static Term
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p_sll(Term t1, Term t2) {
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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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if (IntegerOfTerm(t2) < 0) {
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Int i2 = IntegerOfTerm(t2);
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if (i2 == Int_MIN) {
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return Yap_ArithError(RESOURCE_ERROR_HUGE_INT, t2, ">>/2");
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}
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RINT(IntegerOfTerm(t1) >> -i2);
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}
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return do_sll(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_ArithError(RESOURCE_ERROR_HUGE_INT, t2, "<</2");
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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_sll_big_int(t1, IntegerOfTerm(t2));
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case big_int_e:
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return Yap_ArithError(RESOURCE_ERROR_HUGE_INT, t2, ">>/2");
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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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static Term
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p_slr(Term t1, Term t2) {
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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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if (IntegerOfTerm(t2) < 0) {
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Int i2 = IntegerOfTerm(t2);
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if (i2 == Int_MIN) {
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return Yap_ArithError(RESOURCE_ERROR_HUGE_INT, t2, ">>/2");
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}
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return do_sll(IntegerOfTerm(t1), -i2);
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}
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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_ArithError(RESOURCE_ERROR_HUGE_INT, t2, ">>/2");
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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_sll_big_int(t1, -IntegerOfTerm(t2));
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case big_int_e:
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return Yap_ArithError(RESOURCE_ERROR_HUGE_INT, t2, ">>/2");
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case double_e:
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return Yap_ArithError(TYPE_ERROR_INTEGER, t2, ">>/2");
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|
default:
|
|
RERROR();
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
RERROR();
|
|
}
|
|
|