/* Primitive operations on floating point for GNU Emacs Lisp interpreter.
- Copyright (C) 1988, 1992 Free Software Foundation, Inc.
+ Copyright (C) 1988, 1993, 1994 Free Software Foundation, Inc.
This file is part of GNU Emacs.
#include <signal.h>
-#include "config.h"
+#include <config.h>
#include "lisp.h"
#include "syssignal.h"
#ifdef LISP_FLOAT_TYPE
+#ifdef MSDOS
+/* These are redefined (correctly, but differently) in values.h. */
+#undef INTBITS
+#undef LONGBITS
+#undef SHORTBITS
+#endif
+
+/* Work around a problem that happens because math.h on hpux 7
+ defines two static variables--which, in Emacs, are not really static,
+ because `static' is defined as nothing. The problem is that they are
+ defined both here and in lread.c.
+ These macros prevent the name conflict. */
+#if defined (HPUX) && !defined (HPUX8)
+#define _MAXLDBL floatfns_maxldbl
+#define _NMAXLDBL floatfns_nmaxldbl
+#endif
+
#include <math.h>
-/* These declarations are omitted on some systems, like Ultrix. */
+/* This declaration is omitted on some systems, like Ultrix. */
+#if !defined (HPUX) && defined (HAVE_LOGB) && !defined (logb)
extern double logb ();
+#endif /* not HPUX and HAVE_LOGB and no logb macro */
#if defined(DOMAIN) && defined(SING) && defined(OVERFLOW)
/* If those are defined, then this is probably a `matherr' machine. */
# endif
#endif
+#ifdef NO_MATHERR
+#undef HAVE_MATHERR
+#endif
+
#ifdef HAVE_MATHERR
# ifdef FLOAT_CHECK_ERRNO
# undef FLOAT_CHECK_ERRNO
} \
} while (0)
#else
+#define IN_FLOAT(d, name, num) (in_float = 1, (d), in_float = 0)
#define IN_FLOAT2(d, name, num, num2) (in_float = 1, (d), in_float = 0)
#endif
+/* Convert float to Lisp_Int if it fits, else signal a range error
+ using the given arguments. */
+#define FLOAT_TO_INT(x, i, name, num) \
+ do \
+ { \
+ if ((x) >= (((EMACS_INT) 1) << (VALBITS-1)) || \
+ (x) <= - (((EMACS_INT) 1) << (VALBITS-1)) - 1) \
+ range_error (name, num); \
+ XSETINT (i, (EMACS_INT)(x)); \
+ } \
+ while (0)
+#define FLOAT_TO_INT2(x, i, name, num1, num2) \
+ do \
+ { \
+ if ((x) >= (((EMACS_INT) 1) << (VALBITS-1)) || \
+ (x) <= - (((EMACS_INT) 1) << (VALBITS-1)) - 1) \
+ range_error2 (name, num1, num2); \
+ XSETINT (i, (EMACS_INT)(x)); \
+ } \
+ while (0)
+
#define arith_error(op,arg) \
Fsignal (Qarith_error, Fcons (build_string ((op)), Fcons ((arg), Qnil)))
#define range_error(op,arg) \
Fsignal (Qrange_error, Fcons (build_string ((op)), Fcons ((arg), Qnil)))
+#define range_error2(op,a1,a2) \
+ Fsignal (Qrange_error, Fcons (build_string ((op)), \
+ Fcons ((a1), Fcons ((a2), Qnil))))
#define domain_error(op,arg) \
Fsignal (Qdomain_error, Fcons (build_string ((op)), Fcons ((arg), Qnil)))
#define domain_error2(op,a1,a2) \
- Fsignal (Qdomain_error, Fcons (build_string ((op)), Fcons ((a1), Fcons ((a2), Qnil))))
+ Fsignal (Qdomain_error, Fcons (build_string ((op)), \
+ Fcons ((a1), Fcons ((a2), Qnil))))
/* Extract a Lisp number as a `double', or signal an error. */
{
CHECK_NUMBER_OR_FLOAT (num, 0);
- if (XTYPE (num) == Lisp_Float)
+ if (FLOATP (num))
return XFLOAT (num)->data;
return (double) XINT (num);
}
CHECK_NUMBER_OR_FLOAT (arg1, 0);
CHECK_NUMBER_OR_FLOAT (arg2, 0);
- if ((XTYPE (arg1) == Lisp_Int) && /* common lisp spec */
- (XTYPE (arg2) == Lisp_Int)) /* don't promote, if both are ints */
+ if (INTEGERP (arg1) /* common lisp spec */
+ && INTEGERP (arg2)) /* don't promote, if both are ints */
{ /* this can be improved by pre-calculating */
- int acc, x, y; /* some binary powers of x then acumulating */
- /* these, therby saving some time. -wsr */
+ int acc, x, y; /* some binary powers of x then accumulating */
+ Lisp_Object val;
+
x = XINT (arg1);
y = XINT (arg2);
acc = 1;
}
else
{
- for (; y > 0; y--)
while (y > 0)
{
if (y & 1)
y = (unsigned)y >> 1;
}
}
- XSET (x, Lisp_Int, acc);
- return x;
+ XSETINT (val, acc);
+ return val;
}
- f1 = (XTYPE (arg1) == Lisp_Float) ? XFLOAT (arg1)->data : XINT (arg1);
- f2 = (XTYPE (arg2) == Lisp_Float) ? XFLOAT (arg2)->data : XINT (arg2);
+ f1 = FLOATP (arg1) ? XFLOAT (arg1)->data : XINT (arg1);
+ f2 = FLOATP (arg2) ? XFLOAT (arg2)->data : XINT (arg2);
/* Really should check for overflow, too */
if (f1 == 0.0 && f2 == 0.0)
f1 = 1.0;
else if ((f1 == 0.0 && f2 < 0.0) || (f1 < 0 && f2 != floor(f2)))
domain_error2 ("expt", arg1, arg2);
#endif
- IN_FLOAT (f1 = pow (f1, f2), "expt", arg1);
+ IN_FLOAT2 (f1 = pow (f1, f2), "expt", arg1, arg2);
return make_float (f1);
}
if (b == 10.0)
IN_FLOAT2 (d = log10 (d), "log", arg, base);
else
- IN_FLOAT2 (d = log (arg) / log (b), "log", arg, base);
+ IN_FLOAT2 (d = log (d) / log (b), "log", arg, base);
}
return make_float (d);
}
{
CHECK_NUMBER_OR_FLOAT (arg, 0);
- if (XTYPE (arg) == Lisp_Float)
+ if (FLOATP (arg))
IN_FLOAT (arg = make_float (fabs (XFLOAT (arg)->data)), "abs", arg);
else if (XINT (arg) < 0)
- XSETINT (arg, - XFASTINT (arg));
+ XSETINT (arg, - XINT (arg));
return arg;
}
{
CHECK_NUMBER_OR_FLOAT (arg, 0);
- if (XTYPE (arg) == Lisp_Int)
+ if (INTEGERP (arg))
return make_float ((double) XINT (arg));
else /* give 'em the same float back */
return arg;
}
DEFUN ("logb", Flogb, Slogb, 1, 1, 0,
- "Returns the integer not greater than the base 2 log of the magnitude of ARG.\n\
+ "Returns largest integer <= the base 2 log of the magnitude of ARG.\n\
This is the same as the exponent of a float.")
(arg)
Lisp_Object arg;
int value;
double f = extract_float (arg);
-#ifdef USG
- {
- int exp;
-
- IN_FLOAT (frexp (f, &exp), "logb", arg);
- XSET (val, Lisp_Int, exp-1);
- }
+ if (f == 0.0)
+ value = -(VALMASK >> 1);
+ else
+ {
+#ifdef HAVE_LOGB
+ IN_FLOAT (value = logb (f), "logb", arg);
+#else
+#ifdef HAVE_FREXP
+ IN_FLOAT (frexp (f, &value), "logb", arg);
+ value--;
#else
- IN_FLOAT (value = logb (f), "logb", arg);
- XSET (val, Lisp_Int, value);
+ int i;
+ double d;
+ if (f < 0.0)
+ f = -f;
+ value = -1;
+ while (f < 0.5)
+ {
+ for (i = 1, d = 0.5; d * d >= f; i += i)
+ d *= d;
+ f /= d;
+ value -= i;
+ }
+ while (f >= 1.0)
+ {
+ for (i = 1, d = 2.0; d * d <= f; i += i)
+ d *= d;
+ f /= d;
+ value += i;
+ }
#endif
-
+#endif
+ }
+ XSETINT (val, value);
return val;
}
{
CHECK_NUMBER_OR_FLOAT (arg, 0);
- if (XTYPE (arg) == Lisp_Float)
- IN_FLOAT (XSET (arg, Lisp_Int, ceil (XFLOAT (arg)->data)), "celing", arg);
+ if (FLOATP (arg))
+ {
+ double d;
+
+ IN_FLOAT (d = ceil (XFLOAT (arg)->data), "ceiling", arg);
+ FLOAT_TO_INT (d, arg, "ceiling", arg);
+ }
return arg;
}
-DEFUN ("floor", Ffloor, Sfloor, 1, 1, 0,
- "Return the largest integer no greater than ARG. (Round towards -inf.)")
- (arg)
- register Lisp_Object arg;
+#endif /* LISP_FLOAT_TYPE */
+
+
+DEFUN ("floor", Ffloor, Sfloor, 1, 2, 0,
+ "Return the largest integer no greater than ARG. (Round towards -inf.)\n\
+With optional DIVISOR, return the largest integer no greater than ARG/DIVISOR.")
+ (arg, divisor)
+ register Lisp_Object arg, divisor;
{
CHECK_NUMBER_OR_FLOAT (arg, 0);
- if (XTYPE (arg) == Lisp_Float)
- IN_FLOAT (XSET (arg, Lisp_Int, floor (XFLOAT (arg)->data)), "floor", arg);
+ if (! NILP (divisor))
+ {
+ int i1, i2;
+
+ CHECK_NUMBER_OR_FLOAT (divisor, 1);
+
+#ifdef LISP_FLOAT_TYPE
+ if (FLOATP (arg) || FLOATP (divisor))
+ {
+ double f1, f2;
+
+ f1 = FLOATP (arg) ? XFLOAT (arg)->data : XINT (arg);
+ f2 = (FLOATP (divisor) ? XFLOAT (divisor)->data : XINT (divisor));
+ if (f2 == 0)
+ Fsignal (Qarith_error, Qnil);
+
+ IN_FLOAT2 (f1 = floor (f1 / f2), "floor", arg, divisor);
+ FLOAT_TO_INT2 (f1, arg, "floor", arg, divisor);
+ return arg;
+ }
+#endif
+
+ i1 = XINT (arg);
+ i2 = XINT (divisor);
+
+ if (i2 == 0)
+ Fsignal (Qarith_error, Qnil);
+
+ /* With C's /, the result is implementation-defined if either operand
+ is negative, so use only nonnegative operands. */
+ i1 = (i2 < 0
+ ? (i1 <= 0 ? -i1 / -i2 : -1 - ((i1 - 1) / -i2))
+ : (i1 < 0 ? -1 - ((-1 - i1) / i2) : i1 / i2));
+
+ XSETINT (arg, i1);
+ return arg;
+ }
+
+#ifdef LISP_FLOAT_TYPE
+ if (FLOATP (arg))
+ {
+ double d;
+ IN_FLOAT (d = floor (XFLOAT (arg)->data), "floor", arg);
+ FLOAT_TO_INT (d, arg, "floor", arg);
+ }
+#endif
return arg;
}
+#ifdef LISP_FLOAT_TYPE
+
DEFUN ("round", Fround, Sround, 1, 1, 0,
"Return the nearest integer to ARG.")
(arg)
{
CHECK_NUMBER_OR_FLOAT (arg, 0);
- if (XTYPE (arg) == Lisp_Float)
- /* Screw the prevailing rounding mode. */
- IN_FLOAT (XSET (arg, Lisp_Int, rint (XFLOAT (arg)->data)), "round", arg);
+ if (FLOATP (arg))
+ {
+ double d;
+
+ /* Screw the prevailing rounding mode. */
+ IN_FLOAT (d = rint (XFLOAT (arg)->data), "round", arg);
+ FLOAT_TO_INT (d, arg, "round", arg);
+ }
return arg;
}
{
CHECK_NUMBER_OR_FLOAT (arg, 0);
- if (XTYPE (arg) == Lisp_Float)
- XSET (arg, Lisp_Int, (int) XFLOAT (arg)->data);
+ if (FLOATP (arg))
+ {
+ double d;
+
+ d = XFLOAT (arg)->data;
+ FLOAT_TO_INT (d, arg, "truncate", arg);
+ }
return arg;
}
\f
-#if 0
/* It's not clear these are worth adding. */
DEFUN ("fceiling", Ffceiling, Sfceiling, 1, 1, 0,
register Lisp_Object arg;
{
double d = extract_float (arg);
- IN_FLOAT (d = rint (XFLOAT (arg)->data), "fround", arg);
+ IN_FLOAT (d = rint (d), "fround", arg);
return make_float (d);
}
if (d >= 0.0)
IN_FLOAT (d = floor (d), "ftruncate", arg);
else
- IN_FLOAT (d = ceil (d), arg);
+ IN_FLOAT (d = ceil (d), "ftruncate", arg);
return make_float (d);
}
-#endif
\f
#ifdef FLOAT_CATCH_SIGILL
static SIGTYPE
in_float = 0;
}
+#else /* not LISP_FLOAT_TYPE */
+
+init_floatfns ()
+{}
+
+#endif /* not LISP_FLOAT_TYPE */
+
syms_of_floatfns ()
{
+#ifdef LISP_FLOAT_TYPE
defsubr (&Sacos);
defsubr (&Sasin);
defsubr (&Satan);
defsubr (&Serfc);
defsubr (&Slog_gamma);
defsubr (&Scube_root);
+#endif
defsubr (&Sfceiling);
defsubr (&Sffloor);
defsubr (&Sfround);
defsubr (&Sftruncate);
-#endif
defsubr (&Sexp);
defsubr (&Sexpt);
defsubr (&Slog);
defsubr (&Sfloat);
defsubr (&Slogb);
defsubr (&Sceiling);
- defsubr (&Sfloor);
defsubr (&Sround);
defsubr (&Struncate);
+#endif /* LISP_FLOAT_TYPE */
+ defsubr (&Sfloor);
}
-
-#else /* not LISP_FLOAT_TYPE */
-
-init_floatfns ()
-{}
-
-syms_of_floatfns ()
-{}
-
-#endif /* not LISP_FLOAT_TYPE */