/* Primitive operations on floating point for GNU Emacs Lisp interpreter.
- Copyright (C) 1988, 1993 Free Software Foundation, Inc.
+ Copyright (C) 1988, 1993, 1994 Free Software Foundation, Inc.
This file is part of GNU Emacs.
You should have received a copy of the GNU General Public License
along with GNU Emacs; see the file COPYING. If not, write to
-the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. */
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+Boston, MA 02111-1307, USA. */
/* ANSI C requires only these float functions:
(What systems actually do this? Please let us know.)
Define FLOAT_CHECK_DOMAIN if the float library doesn't handle errors by
- either setting errno, or signalling SIGFPE/SIGILL. Otherwise, domain and
+ either setting errno, or signaling SIGFPE/SIGILL. Otherwise, domain and
range checking will happen before calling the float routines. This has
no effect if HAVE_MATHERR is defined (since matherr will be called when
a domain error occurs.)
#include "lisp.h"
#include "syssignal.h"
-Lisp_Object Qarith_error;
-
#ifdef LISP_FLOAT_TYPE
+#if STDC_HEADERS
+#include <float.h>
+#endif
+
+/* If IEEE_FLOATING_POINT isn't defined, default it from FLT_*. */
+#ifndef IEEE_FLOATING_POINT
+#if (FLT_RADIX == 2 && FLT_MANT_DIG == 24 \
+ && FLT_MIN_EXP == -125 && FLT_MAX_EXP == 128)
+#define IEEE_FLOATING_POINT 1
+#else
+#define IEEE_FLOATING_POINT 0
+#endif
+#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>
-#ifndef hpux
-/* 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
+#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. */
static int in_float;
/* If an argument is out of range for a mathematical function,
- here is the actual argument value to use in the error message. */
+ here is the actual argument value to use in the error message.
+ These variables are used only across the floating point library call
+ so there is no need to staticpro them. */
static Lisp_Object float_error_arg, float_error_arg2;
#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);
}
DEFUN ("bessel-jn", Fbessel_jn, Sbessel_jn, 2, 2, 0,
"Return the order N bessel function output jn of ARG.\n\
The first arg (the order) is truncated to an integer.")
- (arg1, arg2)
- register Lisp_Object arg1, arg2;
+ (n, arg)
+ register Lisp_Object n, arg;
{
- int i1 = extract_float (arg1);
- double f2 = extract_float (arg2);
+ int i1 = extract_float (n);
+ double f2 = extract_float (arg);
- IN_FLOAT (f2 = jn (i1, f2), "bessel-jn", arg1);
+ IN_FLOAT (f2 = jn (i1, f2), "bessel-jn", n);
return make_float (f2);
}
DEFUN ("bessel-yn", Fbessel_yn, Sbessel_yn, 2, 2, 0,
"Return the order N bessel function output yn of ARG.\n\
The first arg (the order) is truncated to an integer.")
- (arg1, arg2)
- register Lisp_Object arg1, arg2;
+ (n, arg)
+ register Lisp_Object n, arg;
{
- int i1 = extract_float (arg1);
- double f2 = extract_float (arg2);
+ int i1 = extract_float (n);
+ double f2 = extract_float (arg);
- IN_FLOAT (f2 = yn (i1, f2), "bessel-yn", arg1);
+ IN_FLOAT (f2 = yn (i1, f2), "bessel-yn", n);
return make_float (f2);
}
}
DEFUN ("expt", Fexpt, Sexpt, 2, 2, 0,
- "Return the exponential X ** Y.")
+ "Return the exponential ARG1 ** ARG2.")
(arg1, arg2)
register Lisp_Object arg1, arg2;
{
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 accumulating */
+ EMACS_INT acc, x, y; /* some binary powers of x then accumulating */
Lisp_Object val;
x = XINT (arg1);
}
else
{
- for (; y > 0; y--)
while (y > 0)
{
if (y & 1)
y = (unsigned)y >> 1;
}
}
- XSET (val, Lisp_Int, acc);
+ 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;
{
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;
Lisp_Object arg;
{
Lisp_Object val;
- int value;
+ EMACS_INT value;
double f = extract_float (arg);
+ if (f == 0.0)
+ value = -(VALMASK >> 1);
+ else
+ {
#ifdef HAVE_LOGB
- IN_FLOAT (value = logb (f), "logb", arg);
- XSET (val, Lisp_Int, value);
+ IN_FLOAT (value = logb (f), "logb", arg);
#else
#ifdef HAVE_FREXP
- {
- int exp;
-
- IN_FLOAT (frexp (f, &exp), "logb", arg);
- XSET (val, Lisp_Int, exp-1);
- }
+ int ivalue;
+ IN_FLOAT (frexp (f, &ivalue), "logb", arg);
+ value = ivalue - 1;
#else
- /* Would someone like to write code to emulate logb? */
- error ("`logb' not implemented on this operating system");
+ 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)), "ceiling", arg);
+ if (FLOATP (arg))
+ {
+ double d;
+
+ IN_FLOAT (d = ceil (XFLOAT (arg)->data), "ceiling", arg);
+ FLOAT_TO_INT (d, arg, "ceiling", arg);
+ }
return arg;
}
if (! NILP (divisor))
{
- int i1, i2;
+ EMACS_INT i1, i2;
CHECK_NUMBER_OR_FLOAT (divisor, 1);
#ifdef LISP_FLOAT_TYPE
- if (XTYPE (arg) == Lisp_Float || XTYPE (divisor) == Lisp_Float)
+ if (FLOATP (arg) || FLOATP (divisor))
{
double f1, f2;
- f1 = XTYPE (arg) == Lisp_Float ? XFLOAT (arg)->data : XINT (arg);
- f2 = (XTYPE (divisor) == Lisp_Float
- ? XFLOAT (divisor)->data : XINT (divisor));
- if (f2 == 0)
+ f1 = FLOATP (arg) ? XFLOAT (arg)->data : XINT (arg);
+ f2 = (FLOATP (divisor) ? XFLOAT (divisor)->data : XINT (divisor));
+ if (! IEEE_FLOATING_POINT && f2 == 0)
Fsignal (Qarith_error, Qnil);
- IN_FLOAT2 (XSET (arg, Lisp_Int, floor (f1 / f2)),
- "floor", arg, divisor);
+ IN_FLOAT2 (f1 = floor (f1 / f2), "floor", arg, divisor);
+ FLOAT_TO_INT2 (f1, arg, "floor", arg, divisor);
return arg;
}
#endif
? (i1 <= 0 ? -i1 / -i2 : -1 - ((i1 - 1) / -i2))
: (i1 < 0 ? -1 - ((-1 - i1) / i2) : i1 / i2));
- XSET (arg, Lisp_Int, i1);
+ XSETINT (arg, i1);
return arg;
}
#ifdef LISP_FLOAT_TYPE
- if (XTYPE (arg) == Lisp_Float)
- IN_FLOAT (XSET (arg, Lisp_Int, floor (XFLOAT (arg)->data)), "floor", arg);
+ 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
+Lisp_Object
+fmod_float (x, y)
+ register Lisp_Object x, y;
+{
+ double f1, f2;
+
+ f1 = FLOATP (x) ? XFLOAT (x)->data : XINT (x);
+ f2 = FLOATP (y) ? XFLOAT (y)->data : XINT (y);
+
+ if (! IEEE_FLOATING_POINT && f2 == 0)
+ Fsignal (Qarith_error, Qnil);
+
+ /* If the "remainder" comes out with the wrong sign, fix it. */
+ IN_FLOAT2 ((f1 = fmod (f1, f2),
+ f1 = (f2 < 0 ? f1 > 0 : f1 < 0) ? f1 + f2 : f1),
+ "mod", x, y);
+ return make_float (f1);
+}
+
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
if (! in_float)
fatal_error_signal (signo);
-#ifdef BSD
+#ifdef BSD_SYSTEM
#ifdef BSD4_1
sigrelse (SIGILL);
#else /* not BSD4_1 */
#else
/* Must reestablish handler each time it is called. */
signal (SIGILL, float_error);
-#endif /* BSD */
+#endif /* BSD_SYSTEM */
in_float = 0;
defsubr (&Serfc);
defsubr (&Slog_gamma);
defsubr (&Scube_root);
+#endif
defsubr (&Sfceiling);
defsubr (&Sffloor);
defsubr (&Sfround);
defsubr (&Sftruncate);
-#endif
defsubr (&Sexp);
defsubr (&Sexpt);
defsubr (&Slog);