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yap-6.3/H/arith2.h
2010-05-27 12:24:15 +01:00

547 lines
12 KiB
C

/*************************************************************************
* *
* YAP Prolog *
* *
* Yap Prolog was developed at NCCUP - Universidade do Porto *
* *
* Copyright L.Damas, V.S.Costa and Universidade do Porto 1985-1997 *
* *
**************************************************************************
* *
* File: arithi2.c *
* Last rev: *
* mods: *
* comments: arithmetical expression evaluation *
* *
*************************************************************************/
/* This file implements fast binary math operations for YAP
*
*/
inline static int
add_overflow(Int x, Int i, Int j)
{
return ((i & j & ~x) | (~i & ~j & x)) < 0;
}
inline static Term
add_int(Int i, Int j)
{
Int x = i+j;
#if USE_GMP
/* Integer overflow, we need to use big integers */
Int overflow = (i & j & ~x) | (~i & ~j & x);
if (overflow < 0) {
return(Yap_gmp_add_ints(i, j));
}
#endif
#ifdef BEAM
RINT(x);
return( MkIntegerTerm (x));
#else
RINT(x);
#endif
}
inline static int
sub_overflow(Int x, Int i, Int j)
{
return ((i & ~j & ~x) | (~i & j & x)) < 0;
}
inline static Term
sub_int(Int i, Int j)
{
Int x = i-j;
#if USE_GMP
Int overflow = ((i & ~j & ~x) | (~i & j & x)) < 0;
/* Integer overflow, we need to use big integers */
if (overflow) {
return(Yap_gmp_sub_ints(i, j));
}
#endif
#ifdef BEAM
RINT(x);
return( MkIntegerTerm (x));
#else
RINT(x);
#endif
}
#ifdef __GNUC__
#ifdef __i386__
#define DO_MULTI() { Int tmp1; \
__asm__ ("imull %3\n\t movl $0,%1\n\t jno 0f\n\t movl $1,%1\n\t 0:" \
: "=a" (z), \
"=d" (tmp1) \
: "a" (i1), \
"rm" (i2) \
: "cc" ); \
if (tmp1) goto overflow; \
}
#define OPTIMIZE_MULTIPLI 1
#endif
#endif
inline static int
mul_overflow(Int z, Int i1, Int i2)
{
if (i1 == Int_MIN && i2 == -1)
return TRUE;
return (i2 && z/i2 != i1);
}
#ifndef OPTIMIZE_MULTIPLI
#define DO_MULTI() z = i1*i2; \
if (i2 && z/i2 != i1) goto overflow
#endif
inline static Term
times_int(Int i1, Int i2) {
#ifdef USE_GMP
Int z;
DO_MULTI();
RINT(z);
overflow:
{
return(Yap_gmp_mul_ints(i1, i2));
}
#else
RINT(i1*i2);
#endif
}
#if USE_GMP
static inline int
sl_overflow(Int i,Int j)
{
Int x = (8*sizeof(CELL)-2)-j;
CELL t = (1<<x)-1;
if (x < 0) return TRUE;
t = (1<<x)-1;
return (t & i) != i;
}
#endif
inline static Term
do_sll(Int i, Int j)
{
#ifdef USE_GMP
if (sl_overflow(i,j)) {
return Yap_gmp_sll_ints(i, j);
}
#endif
RINT(i << j);
}
static inline Term
p_plus(Term t1, Term t2) {
switch (ETypeOfTerm(t1)) {
case long_int_e:
switch (ETypeOfTerm(t2)) {
case long_int_e:
/* two integers */
return add_int(IntegerOfTerm(t1),IntegerOfTerm(t2));
case double_e:
{
/* integer, double */
Float fl1 = (Float)IntegerOfTerm(t1);
Float fl2 = FloatOfTerm(t2);
RFLOAT(fl1+fl2);
}
case big_int_e:
#ifdef USE_GMP
return(Yap_gmp_add_int_big(IntegerOfTerm(t1), t2));
#endif
default:
RERROR();
}
case double_e:
switch (ETypeOfTerm(t2)) {
case long_int_e:
/* float * integer */
RFLOAT(FloatOfTerm(t1)+IntegerOfTerm(t2));
case double_e:
RFLOAT(FloatOfTerm(t1)+FloatOfTerm(t2));
case big_int_e:
#ifdef USE_GMP
return Yap_gmp_add_float_big(FloatOfTerm(t1),t2);
#endif
default:
RERROR();
}
case big_int_e:
#ifdef USE_GMP
switch (ETypeOfTerm(t2)) {
case long_int_e:
return Yap_gmp_add_int_big(IntegerOfTerm(t2), t1);
case big_int_e:
/* two bignums */
return Yap_gmp_add_big_big(t1, t2);
case double_e:
return Yap_gmp_add_float_big(FloatOfTerm(t2),t1);
default:
RERROR();
}
#endif
default:
RERROR();
}
RERROR();
}
static Term
p_minus(Term t1, Term t2) {
switch (ETypeOfTerm(t1)) {
case long_int_e:
switch (ETypeOfTerm(t2)) {
case long_int_e:
/* two integers */
return sub_int(IntegerOfTerm(t1), IntegerOfTerm(t2));
case double_e:
{
/* integer, double */
Float fl1 = (Float)IntegerOfTerm(t1);
Float fl2 = FloatOfTerm(t2);
RFLOAT(fl1-fl2);
}
case big_int_e:
#ifdef USE_GMP
return Yap_gmp_sub_int_big(IntegerOfTerm(t1), t2);
#endif
default:
RERROR();
}
break;
case double_e:
switch (ETypeOfTerm(t2)) {
case long_int_e:
/* float * integer */
RFLOAT(FloatOfTerm(t1)-IntegerOfTerm(t2));
case double_e:
{
RFLOAT(FloatOfTerm(t1)-FloatOfTerm(t2));
}
case big_int_e:
#ifdef USE_GMP
return Yap_gmp_sub_float_big(FloatOfTerm(t1),t2);
#endif
default:
RERROR();
}
break;
case big_int_e:
#ifdef USE_GMP
switch (ETypeOfTerm(t2)) {
case long_int_e:
return Yap_gmp_sub_big_int(t1, IntegerOfTerm(t2));
case big_int_e:
return Yap_gmp_sub_big_big(t1, t2);
case double_e:
return Yap_gmp_sub_big_float(t1,FloatOfTerm(t2));
default:
RERROR();
}
#endif
default:
RERROR();
}
RERROR();
}
static Term
p_times(Term t1, Term t2) {
switch (ETypeOfTerm(t1)) {
case long_int_e:
switch (ETypeOfTerm(t2)) {
case long_int_e:
/* two integers */
return(times_int(IntegerOfTerm(t1),IntegerOfTerm(t2)));
case double_e:
{
/* integer, double */
Float fl1 = (Float)IntegerOfTerm(t1);
Float fl2 = FloatOfTerm(t2);
RFLOAT(fl1*fl2);
}
case big_int_e:
#ifdef USE_GMP
return(Yap_gmp_mul_int_big(IntegerOfTerm(t1), t2));
#endif
default:
RERROR();
}
break;
case double_e:
switch (ETypeOfTerm(t2)) {
case long_int_e:
/* float * integer */
RFLOAT(FloatOfTerm(t1)*IntegerOfTerm(t2));
case double_e:
RFLOAT(FloatOfTerm(t1)*FloatOfTerm(t2));
case big_int_e:
#ifdef USE_GMP
return Yap_gmp_mul_float_big(FloatOfTerm(t1),t2);
#endif
default:
RERROR();
}
break;
case big_int_e:
#ifdef USE_GMP
switch (ETypeOfTerm(t2)) {
case long_int_e:
return Yap_gmp_mul_int_big(IntegerOfTerm(t2), t1);
case big_int_e:
/* two bignums */
return Yap_gmp_mul_big_big(t1, t2);
case double_e:
return Yap_gmp_mul_float_big(FloatOfTerm(t2),t1);
default:
RERROR();
}
#endif
default:
RERROR();
}
RERROR();
}
static Term
p_div(Term t1, Term t2) {
switch (ETypeOfTerm(t1)) {
case long_int_e:
switch (ETypeOfTerm(t2)) {
case long_int_e:
/* two integers */
{
Int i1 = IntegerOfTerm(t1), i2 = IntegerOfTerm(t2);
if (i2 == 0) {
return Yap_ArithError(EVALUATION_ERROR_ZERO_DIVISOR, t2, "// /2");
} else if (i1 == Int_MIN && i2 == -1) {
#ifdef USE_GMP
return Yap_gmp_add_ints(Int_MAX, 1);
#else
return Yap_ArithError(EVALUATION_ERROR_INT_OVERFLOW, t1,
"rem/2 with %d and %d", i1, i2);
#endif
} else {
RINT(IntegerOfTerm(t1) / i2);
}
}
case double_e:
return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "// /2");
case big_int_e:
#ifdef USE_GMP
/* dividing a bignum by an integer */
return Yap_gmp_div_int_big(IntegerOfTerm(t1), t2);
#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:
/* dividing a bignum by an integer */
return Yap_gmp_div_big_int(t1, IntegerOfTerm(t2));
case big_int_e:
/* two bignums */
return Yap_gmp_div_big_big(t1, t2);
case double_e:
return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "// /2");
default:
RERROR();
}
#endif
default:
RERROR();
}
RERROR();
}
static Term
p_and(Term t1, Term t2) {
switch (ETypeOfTerm(t1)) {
case long_int_e:
switch (ETypeOfTerm(t2)) {
case long_int_e:
/* two integers */
RINT(IntegerOfTerm(t1) & IntegerOfTerm(t2));
case double_e:
return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "/\\ /2");
case big_int_e:
#ifdef USE_GMP
return Yap_gmp_and_int_big(IntegerOfTerm(t1),t2);
#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:
/* anding a bignum with an integer is easy */
return Yap_gmp_and_int_big(IntegerOfTerm(t2),t1);
case big_int_e:
/* two bignums */
return Yap_gmp_and_big_big(t1, t2);
case double_e:
return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "/\\ /2");
default:
RERROR();
}
#endif
default:
RERROR();
}
RERROR();
}
static Term
p_or(Term t1, Term t2) {
switch(ETypeOfTerm(t1)) {
case long_int_e:
switch (ETypeOfTerm(t2)) {
case long_int_e:
/* two integers */
RINT(IntegerOfTerm(t1) | IntegerOfTerm(t2));
case double_e:
return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "\\/ /2");
case big_int_e:
#ifdef USE_GMP
return Yap_gmp_ior_int_big(IntegerOfTerm(t1),t2);
#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:
/* anding a bignum with an integer is easy */
return Yap_gmp_ior_int_big(IntegerOfTerm(t2),t1);
case big_int_e:
/* two bignums */
return Yap_gmp_ior_big_big(t1, t2);
case double_e:
return Yap_ArithError(TYPE_ERROR_INTEGER, t2, "\\/ /2");
default:
RERROR();
}
#endif
default:
RERROR();
}
RERROR();
}
static Term
p_sll(Term t1, Term t2) {
switch (ETypeOfTerm(t1)) {
case long_int_e:
switch (ETypeOfTerm(t2)) {
case long_int_e:
/* two integers */
if (IntegerOfTerm(t2) < 0) {
Int i2 = IntegerOfTerm(t2);
if (i2 == Int_MIN) {
return Yap_ArithError(RESOURCE_ERROR_HUGE_INT, t2, ">>/2");
}
RINT(IntegerOfTerm(t1) >> -i2);
}
return do_sll(IntegerOfTerm(t1),IntegerOfTerm(t2));
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) {
switch (ETypeOfTerm(t1)) {
case long_int_e:
switch (ETypeOfTerm(t2)) {
case long_int_e:
/* two integers */
if (IntegerOfTerm(t2) < 0) {
Int i2 = IntegerOfTerm(t2);
if (i2 == Int_MIN) {
return Yap_ArithError(RESOURCE_ERROR_HUGE_INT, t2, ">>/2");
}
return do_sll(IntegerOfTerm(t1), -i2);
}
RINT(IntegerOfTerm(t1) >> IntegerOfTerm(t2));
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();
}