531 lines
12 KiB
C
Executable File
531 lines
12 KiB
C
Executable File
/*************************************************************************
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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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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 USES_REGS)
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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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inline static Int
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SLR(Int i, Int shift)
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{
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return (shift < sizeof(Int)*8-1 ? i >> shift : (i >= 0 ? 0 : -1));
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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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#if defined(_MSC_VER) && SIZEOF_DOUBLE == SIZEOF_INT_P
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#define DO_MULTI() { \
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uint64_t h1 = (11 > 0 ? i1 : -i1) >> 32;\
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uint64_t h2 = (12 > 0 ? i2 : -12) >> 32;\
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if (h1 != 0 && h2 != 0) goto overflow;\
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if ((uint64_t)(i1 & 0xfffffff)*h2 + ((uint64_t)(i2 & 0xfffffff)*h1) > 0x7fffffff) goto overflow;\
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z = i1 * i2;\
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}
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#elif __clang__ && FALSE /* not in OSX yet */
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#define DO_MULTI() if (__builtin_smul_overflow( i1, i2, & z ) ) { goto overflow; }
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#elif SIZEOF_DOUBLE == 2*SIZEOF_INT_P
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#define DO_MULTI() {\
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int64_t w = (int64_t)i1*i2; \
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if (w >= 0) {\
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if ((w | ((int64_t)(2^31)-1)) != ((int64_t)(2^31)-1)) goto overflow; \
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} else {\
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if ((-w | ((int64_t)(2^31)-1)) != ((int64_t)(2^31)-1)) goto overflow; \
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}\
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z = w;\
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}
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#else
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#define DO_MULTI() {\
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__int128_t w = (__int128_t)i1*i2; \
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if (w >= 0) {\
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if ((w | ((__int128_t)(2^63)-1)) != ((__int128_t)(2^63)-1)) goto overflow; \
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} else {\
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if ((-w | ((__int128_t)(2^63)-1)) != ((__int128_t)(2^63)-1)) goto overflow; \
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}\
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z = (Int)w; \
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}
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#endif
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inline static Term
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times_int(Int i1, Int i2 USES_REGS) {
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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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#ifdef USE_GMP
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#ifndef __GNUC__X
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static int
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clrsb(Int i)
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{
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Int j=0;
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if (i < 0) {
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if (i == Int_MIN)
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return 1;
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i = -i;
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}
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#if SIZEOF_INT_P == 8
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if (i < (Int)(0x100000000)) { j += 32;}
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else i >>= 32;
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#endif
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if (i < (Int)(0x10000)) {j += 16;}
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else i >>= 16;
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if (i < (Int)(0x100)) {j += 8;}
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else i >>= 8;
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if (i < (Int)(0x10)) {j += 4;}
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else i >>= 4;
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if (i < (Int)(0x4)) {j += 2;}
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else i >>= 2;
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if (i < (Int)(0x2)) j++;
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return j;
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}
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#endif
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#endif
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inline static Term
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do_sll(Int i, Int j USES_REGS) /* j > 0 */
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{
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#ifdef USE_GMP
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if (
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#ifdef __GNUC__X
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#if SIZEOF_LONG_INT < SIZEOF_INT_P
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__builtin_clrsbll(i)
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#else
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__builtin_clrsbl(i)
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#endif
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#else
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clrsb(i)
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#endif
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> j)
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RINT(i << j);
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return Yap_gmp_sll_ints(i, j);
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#else
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RINT(i << j);
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#endif
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}
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static Term
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p_minus(Term t1, Term t2 USES_REGS) {
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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) PASS_REGS);
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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 USES_REGS) {
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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) PASS_REGS));
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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 USES_REGS) {
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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 USES_REGS) {
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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 USES_REGS) {
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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");
|
|
default:
|
|
RERROR();
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
RERROR();
|
|
}
|
|
|
|
static Term
|
|
p_sll(Term t1, Term t2 USES_REGS) {
|
|
switch (ETypeOfTerm(t1)) {
|
|
case long_int_e:
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
/* two integers */
|
|
{ Int i2 = IntegerOfTerm(t2);
|
|
|
|
if (i2 <= 0) {
|
|
if (i2 == Int_MIN) {
|
|
return Yap_ArithError(RESOURCE_ERROR_HUGE_INT, t2, ">>/2");
|
|
}
|
|
RINT(SLR(IntegerOfTerm(t1), -i2));
|
|
}
|
|
return do_sll(IntegerOfTerm(t1),i2 PASS_REGS);
|
|
}
|
|
case double_e:
|
|
return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "<</2");
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
return Yap_ArithError(RESOURCE_ERROR_HUGE_INT, t2, "<</2");
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
break;
|
|
case double_e:
|
|
return Yap_ArithError(TYPE_ERROR_INTEGER, t1, "<< /2");
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
return Yap_gmp_sll_big_int(t1, IntegerOfTerm(t2));
|
|
case big_int_e:
|
|
return Yap_ArithError(RESOURCE_ERROR_HUGE_INT, t2, ">>/2");
|
|
case double_e:
|
|
return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "<</2");
|
|
default:
|
|
RERROR();
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
RERROR();
|
|
}
|
|
|
|
static Term
|
|
p_slr(Term t1, Term t2 USES_REGS) {
|
|
switch (ETypeOfTerm(t1)) {
|
|
case long_int_e:
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
/* two integers */
|
|
{ Int i2 = IntegerOfTerm(t2);
|
|
|
|
if (i2 < 0) {
|
|
if (i2 == Int_MIN) {
|
|
return Yap_ArithError(RESOURCE_ERROR_HUGE_INT, t2, ">>/2");
|
|
}
|
|
return do_sll(IntegerOfTerm(t1), -i2 PASS_REGS);
|
|
}
|
|
RINT(SLR(IntegerOfTerm(t1), i2));
|
|
}
|
|
case double_e:
|
|
return Yap_ArithError(TYPE_ERROR_INTEGER, t2, ">>/2");
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
return Yap_ArithError(RESOURCE_ERROR_HUGE_INT, t2, ">>/2");
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
break;
|
|
case double_e:
|
|
return Yap_ArithError(TYPE_ERROR_INTEGER, t1, ">>/2");
|
|
case big_int_e:
|
|
#ifdef USE_GMP
|
|
switch (ETypeOfTerm(t2)) {
|
|
case long_int_e:
|
|
return Yap_gmp_sll_big_int(t1, -IntegerOfTerm(t2));
|
|
case big_int_e:
|
|
return Yap_ArithError(RESOURCE_ERROR_HUGE_INT, t2, ">>/2");
|
|
case double_e:
|
|
return Yap_ArithError(TYPE_ERROR_INTEGER, t2, ">>/2");
|
|
default:
|
|
RERROR();
|
|
}
|
|
#endif
|
|
default:
|
|
RERROR();
|
|
}
|
|
RERROR();
|
|
}
|
|
|