/* Primitive operations on floating point for GNU Emacs Lisp interpreter.
- Copyright (C) 1988, 1993, 1994 Free Software Foundation, Inc.
+ Copyright (C) 1988, 1993, 1994, 1999, 2002, 2003, 2004,
+ 2005, 2006 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, Inc., 59 Temple Place - Suite 330,
-Boston, MA 02111-1307, USA. */
+the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+Boston, MA 02110-1301, USA. */
/* ANSI C requires only these float functions:
Define HAVE_INVERSE_HYPERBOLIC if you have acosh, asinh, and atanh.
Define HAVE_CBRT if you have cbrt.
- Define HAVE_RINT if you have rint.
+ Define HAVE_RINT if you have a working rint.
If you don't define these, then the appropriate routines will be simulated.
Define HAVE_MATHERR if on a system supporting the SysV matherr callback.
a domain error occurs.)
*/
-#include <signal.h>
-
#include <config.h>
+#include <signal.h>
#include "lisp.h"
#include "syssignal.h"
-#ifdef LISP_FLOAT_TYPE
-
#if STDC_HEADERS
#include <float.h>
#endif
#ifdef FLOAT_CHECK_ERRNO
# include <errno.h>
+#ifndef USE_CRT_DLL
extern int errno;
#endif
+#endif
/* Avoid traps on VMS from sinh and cosh.
All the other functions set errno instead. */
#define sinh(x) ((exp(x)-exp(-x))*0.5)
#endif /* VMS */
+#ifdef FLOAT_CATCH_SIGILL
static SIGTYPE float_error ();
+#endif
/* Nonzero while executing in floating point.
This tells float_error what to do. */
#define FLOAT_TO_INT(x, i, name, num) \
do \
{ \
- if ((x) >= (((EMACS_INT) 1) << (VALBITS-1)) || \
- (x) <= - (((EMACS_INT) 1) << (VALBITS-1)) - 1) \
+ if (FIXNUM_OVERFLOW_P (x)) \
range_error (name, num); \
XSETINT (i, (EMACS_INT)(x)); \
} \
#define FLOAT_TO_INT2(x, i, name, num1, num2) \
do \
{ \
- if ((x) >= (((EMACS_INT) 1) << (VALBITS-1)) || \
- (x) <= - (((EMACS_INT) 1) << (VALBITS-1)) - 1) \
+ if (FIXNUM_OVERFLOW_P (x)) \
range_error2 (name, num1, num2); \
XSETINT (i, (EMACS_INT)(x)); \
} \
extract_float (num)
Lisp_Object num;
{
- CHECK_NUMBER_OR_FLOAT (num, 0);
+ CHECK_NUMBER_OR_FLOAT (num);
if (FLOATP (num))
- return XFLOAT (num)->data;
+ return XFLOAT_DATA (num);
return (double) XINT (num);
}
\f
/* Trig functions. */
DEFUN ("acos", Facos, Sacos, 1, 1, 0,
- "Return the inverse cosine of ARG.")
- (arg)
+ doc: /* Return the inverse cosine of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("asin", Fasin, Sasin, 1, 1, 0,
- "Return the inverse sine of ARG.")
- (arg)
+ doc: /* Return the inverse sine of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
return make_float (d);
}
-DEFUN ("atan", Fatan, Satan, 1, 1, 0,
- "Return the inverse tangent of ARG.")
- (arg)
- register Lisp_Object arg;
+DEFUN ("atan", Fatan, Satan, 1, 2, 0,
+ doc: /* Return the inverse tangent of the arguments.
+If only one argument Y is given, return the inverse tangent of Y.
+If two arguments Y and X are given, return the inverse tangent of Y
+divided by X, i.e. the angle in radians between the vector (X, Y)
+and the x-axis. */)
+ (y, x)
+ register Lisp_Object y, x;
{
- double d = extract_float (arg);
- IN_FLOAT (d = atan (d), "atan", arg);
+ double d = extract_float (y);
+
+ if (NILP (x))
+ IN_FLOAT (d = atan (d), "atan", y);
+ else
+ {
+ double d2 = extract_float (x);
+
+ IN_FLOAT2 (d = atan2 (d, d2), "atan", y, x);
+ }
return make_float (d);
}
DEFUN ("cos", Fcos, Scos, 1, 1, 0,
- "Return the cosine of ARG.")
- (arg)
+ doc: /* Return the cosine of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("sin", Fsin, Ssin, 1, 1, 0,
- "Return the sine of ARG.")
- (arg)
+ doc: /* Return the sine of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("tan", Ftan, Stan, 1, 1, 0,
- "Return the tangent of ARG.")
- (arg)
+ doc: /* Return the tangent of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
#if 0 /* Leave these out unless we find there's a reason for them. */
DEFUN ("bessel-j0", Fbessel_j0, Sbessel_j0, 1, 1, 0,
- "Return the bessel function j0 of ARG.")
- (arg)
+ doc: /* Return the bessel function j0 of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("bessel-j1", Fbessel_j1, Sbessel_j1, 1, 1, 0,
- "Return the bessel function j1 of ARG.")
- (arg)
+ doc: /* Return the bessel function j1 of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
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.")
- (n, arg)
+ doc: /* Return the order N bessel function output jn of ARG.
+The first arg (the order) is truncated to an integer. */)
+ (n, arg)
register Lisp_Object n, arg;
{
int i1 = extract_float (n);
}
DEFUN ("bessel-y0", Fbessel_y0, Sbessel_y0, 1, 1, 0,
- "Return the bessel function y0 of ARG.")
- (arg)
+ doc: /* Return the bessel function y0 of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("bessel-y1", Fbessel_y1, Sbessel_y1, 1, 1, 0,
- "Return the bessel function y1 of ARG.")
- (arg)
+ doc: /* Return the bessel function y1 of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
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.")
- (n, arg)
+ doc: /* Return the order N bessel function output yn of ARG.
+The first arg (the order) is truncated to an integer. */)
+ (n, arg)
register Lisp_Object n, arg;
{
int i1 = extract_float (n);
#if 0 /* Leave these out unless we see they are worth having. */
DEFUN ("erf", Ferf, Serf, 1, 1, 0,
- "Return the mathematical error function of ARG.")
- (arg)
+ doc: /* Return the mathematical error function of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("erfc", Ferfc, Serfc, 1, 1, 0,
- "Return the complementary error function of ARG.")
- (arg)
+ doc: /* Return the complementary error function of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("log-gamma", Flog_gamma, Slog_gamma, 1, 1, 0,
- "Return the log gamma of ARG.")
- (arg)
+ doc: /* Return the log gamma of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("cube-root", Fcube_root, Scube_root, 1, 1, 0,
- "Return the cube root of ARG.")
- (arg)
+ doc: /* Return the cube root of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
#endif
\f
DEFUN ("exp", Fexp, Sexp, 1, 1, 0,
- "Return the exponential base e of ARG.")
- (arg)
+ doc: /* Return the exponential base e of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("expt", Fexpt, Sexpt, 2, 2, 0,
- "Return the exponential ARG1 ** ARG2.")
- (arg1, arg2)
+ doc: /* Return the exponential ARG1 ** ARG2. */)
+ (arg1, arg2)
register Lisp_Object arg1, arg2;
{
double f1, f2;
- CHECK_NUMBER_OR_FLOAT (arg1, 0);
- CHECK_NUMBER_OR_FLOAT (arg2, 0);
+ CHECK_NUMBER_OR_FLOAT (arg1);
+ CHECK_NUMBER_OR_FLOAT (arg2);
if (INTEGERP (arg1) /* common lisp spec */
- && INTEGERP (arg2)) /* don't promote, if both are ints */
+ && INTEGERP (arg2) /* don't promote, if both are ints, and */
+ && 0 <= XINT (arg2)) /* we are sure the result is not fractional */
{ /* this can be improved by pre-calculating */
EMACS_INT acc, x, y; /* some binary powers of x then accumulating */
Lisp_Object val;
x = XINT (arg1);
y = XINT (arg2);
acc = 1;
-
+
if (y < 0)
{
if (x == 1)
XSETINT (val, acc);
return val;
}
- f1 = FLOATP (arg1) ? XFLOAT (arg1)->data : XINT (arg1);
- f2 = FLOATP (arg2) ? XFLOAT (arg2)->data : XINT (arg2);
+ f1 = FLOATP (arg1) ? XFLOAT_DATA (arg1) : XINT (arg1);
+ f2 = FLOATP (arg2) ? XFLOAT_DATA (arg2) : XINT (arg2);
/* Really should check for overflow, too */
if (f1 == 0.0 && f2 == 0.0)
f1 = 1.0;
}
DEFUN ("log", Flog, Slog, 1, 2, 0,
- "Return the natural logarithm of ARG.\n\
-If second optional argument BASE is given, return log ARG using that base.")
- (arg, base)
+ doc: /* Return the natural logarithm of ARG.
+If the optional argument BASE is given, return log ARG using that base. */)
+ (arg, base)
register Lisp_Object arg, base;
{
double d = extract_float (arg);
}
DEFUN ("log10", Flog10, Slog10, 1, 1, 0,
- "Return the logarithm base 10 of ARG.")
- (arg)
+ doc: /* Return the logarithm base 10 of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("sqrt", Fsqrt, Ssqrt, 1, 1, 0,
- "Return the square root of ARG.")
- (arg)
+ doc: /* Return the square root of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
#if 0 /* Not clearly worth adding. */
DEFUN ("acosh", Facosh, Sacosh, 1, 1, 0,
- "Return the inverse hyperbolic cosine of ARG.")
- (arg)
+ doc: /* Return the inverse hyperbolic cosine of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("asinh", Fasinh, Sasinh, 1, 1, 0,
- "Return the inverse hyperbolic sine of ARG.")
- (arg)
+ doc: /* Return the inverse hyperbolic sine of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("atanh", Fatanh, Satanh, 1, 1, 0,
- "Return the inverse hyperbolic tangent of ARG.")
- (arg)
+ doc: /* Return the inverse hyperbolic tangent of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("cosh", Fcosh, Scosh, 1, 1, 0,
- "Return the hyperbolic cosine of ARG.")
- (arg)
+ doc: /* Return the hyperbolic cosine of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("sinh", Fsinh, Ssinh, 1, 1, 0,
- "Return the hyperbolic sine of ARG.")
- (arg)
+ doc: /* Return the hyperbolic sine of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("tanh", Ftanh, Stanh, 1, 1, 0,
- "Return the hyperbolic tangent of ARG.")
- (arg)
+ doc: /* Return the hyperbolic tangent of ARG. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
#endif
\f
DEFUN ("abs", Fabs, Sabs, 1, 1, 0,
- "Return the absolute value of ARG.")
- (arg)
+ doc: /* Return the absolute value of ARG. */)
+ (arg)
register Lisp_Object arg;
{
- CHECK_NUMBER_OR_FLOAT (arg, 0);
+ CHECK_NUMBER_OR_FLOAT (arg);
if (FLOATP (arg))
- IN_FLOAT (arg = make_float (fabs (XFLOAT (arg)->data)), "abs", arg);
+ IN_FLOAT (arg = make_float (fabs (XFLOAT_DATA (arg))), "abs", arg);
else if (XINT (arg) < 0)
XSETINT (arg, - XINT (arg));
}
DEFUN ("float", Ffloat, Sfloat, 1, 1, 0,
- "Return the floating point number equal to ARG.")
- (arg)
+ doc: /* Return the floating point number equal to ARG. */)
+ (arg)
register Lisp_Object arg;
{
- CHECK_NUMBER_OR_FLOAT (arg, 0);
+ CHECK_NUMBER_OR_FLOAT (arg);
if (INTEGERP (arg))
return make_float ((double) XINT (arg));
}
DEFUN ("logb", Flogb, Slogb, 1, 1, 0,
- "Returns largest integer <= the base 2 log of the magnitude of ARG.\n\
-This is the same as the exponent of a float.")
+ doc: /* Returns largest integer <= the base 2 log of the magnitude of ARG.
+This is the same as the exponent of a float. */)
(arg)
Lisp_Object arg;
{
double f = extract_float (arg);
if (f == 0.0)
- value = -(VALMASK >> 1);
+ value = MOST_NEGATIVE_FIXNUM;
else
{
#ifdef HAVE_LOGB
return val;
}
-#endif /* LISP_FLOAT_TYPE */
-
/* the rounding functions */
EMACS_INT (*int_round2) ();
char *name;
{
- CHECK_NUMBER_OR_FLOAT (arg, 0);
+ CHECK_NUMBER_OR_FLOAT (arg);
if (! NILP (divisor))
{
EMACS_INT i1, i2;
- CHECK_NUMBER_OR_FLOAT (divisor, 1);
+ CHECK_NUMBER_OR_FLOAT (divisor);
-#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));
+ f1 = FLOATP (arg) ? XFLOAT_DATA (arg) : XINT (arg);
+ f2 = (FLOATP (divisor) ? XFLOAT_DATA (divisor) : XINT (divisor));
if (! IEEE_FLOATING_POINT && f2 == 0)
Fsignal (Qarith_error, Qnil);
FLOAT_TO_INT2 (f1, arg, name, arg, divisor);
return arg;
}
-#endif
i1 = XINT (arg);
i2 = XINT (divisor);
return arg;
}
-#ifdef LISP_FLOAT_TYPE
if (FLOATP (arg))
{
double d;
- IN_FLOAT (d = (*double_round) (XFLOAT (arg)->data), name, arg);
+ IN_FLOAT (d = (*double_round) (XFLOAT_DATA (arg)), name, arg);
FLOAT_TO_INT (d, arg, name, arg);
}
-#endif
return arg;
}
return q + (abs_r + (q & 1) <= abs_r1 ? 0 : (i2 ^ r) < 0 ? -1 : 1);
}
-#ifndef HAVE_RINT
+/* The code uses emacs_rint, so that it works to undefine HAVE_RINT
+ if `rint' exists but does not work right. */
+#ifdef HAVE_RINT
+#define emacs_rint rint
+#else
static double
-rint (d)
+emacs_rint (d)
double d;
{
return floor (d + 0.5);
}
DEFUN ("ceiling", Fceiling, Sceiling, 1, 2, 0,
- "Return the smallest integer no less than ARG. (Round toward +inf.)\n\
-With optional DIVISOR, return the smallest integer no less than ARG/DIVISOR.")
- (arg, divisor)
+ doc: /* Return the smallest integer no less than ARG.
+This rounds the value towards +inf.
+With optional DIVISOR, return the smallest integer no less than ARG/DIVISOR. */)
+ (arg, divisor)
Lisp_Object arg, divisor;
{
return rounding_driver (arg, divisor, ceil, ceiling2, "ceiling");
}
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)
+ doc: /* Return the largest integer no greater than ARG.
+This rounds the value towards -inf.
+With optional DIVISOR, return the largest integer no greater than ARG/DIVISOR. */)
+ (arg, divisor)
Lisp_Object arg, divisor;
{
return rounding_driver (arg, divisor, floor, floor2, "floor");
}
DEFUN ("round", Fround, Sround, 1, 2, 0,
- "Return the nearest integer to ARG.\n\
-With optional DIVISOR, return the nearest integer to ARG/DIVISOR.")
- (arg, divisor)
+ doc: /* Return the nearest integer to ARG.
+With optional DIVISOR, return the nearest integer to ARG/DIVISOR.
+
+Rounding a value equidistant between two integers may choose the
+integer closer to zero, or it may prefer an even integer, depending on
+your machine. For example, \(round 2.5\) can return 3 on some
+systems, but 2 on others. */)
+ (arg, divisor)
Lisp_Object arg, divisor;
{
- return rounding_driver (arg, divisor, rint, round2, "round");
+ return rounding_driver (arg, divisor, emacs_rint, round2, "round");
}
DEFUN ("truncate", Ftruncate, Struncate, 1, 2, 0,
- "Truncate a floating point number to an int.\n\
-Rounds ARG toward zero.\n\
-With optional DIVISOR, truncate ARG/DIVISOR.")
- (arg, divisor)
+ doc: /* Truncate a floating point number to an int.
+Rounds ARG toward zero.
+With optional DIVISOR, truncate ARG/DIVISOR. */)
+ (arg, divisor)
Lisp_Object arg, divisor;
{
return rounding_driver (arg, divisor, double_identity, truncate2,
"truncate");
}
-#ifdef LISP_FLOAT_TYPE
Lisp_Object
fmod_float (x, y)
{
double f1, f2;
- f1 = FLOATP (x) ? XFLOAT (x)->data : XINT (x);
- f2 = FLOATP (y) ? XFLOAT (y)->data : XINT (y);
+ f1 = FLOATP (x) ? XFLOAT_DATA (x) : XINT (x);
+ f2 = FLOATP (y) ? XFLOAT_DATA (y) : XINT (y);
if (! IEEE_FLOATING_POINT && f2 == 0)
Fsignal (Qarith_error, Qnil);
/* It's not clear these are worth adding. */
DEFUN ("fceiling", Ffceiling, Sfceiling, 1, 1, 0,
- "Return the smallest integer no less than ARG, as a float.\n\
-\(Round toward +inf.\)")
- (arg)
+ doc: /* Return the smallest integer no less than ARG, as a float.
+\(Round toward +inf.\) */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("ffloor", Fffloor, Sffloor, 1, 1, 0,
- "Return the largest integer no greater than ARG, as a float.\n\
-\(Round towards -inf.\)")
- (arg)
+ doc: /* Return the largest integer no greater than ARG, as a float.
+\(Round towards -inf.\) */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
}
DEFUN ("fround", Ffround, Sfround, 1, 1, 0,
- "Return the nearest integer to ARG, as a float.")
- (arg)
+ doc: /* Return the nearest integer to ARG, as a float. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
- IN_FLOAT (d = rint (d), "fround", arg);
+ IN_FLOAT (d = emacs_rint (d), "fround", arg);
return make_float (d);
}
DEFUN ("ftruncate", Fftruncate, Sftruncate, 1, 1, 0,
- "Truncate a floating point number to an integral float value.\n\
-Rounds the value toward zero.")
- (arg)
+ doc: /* Truncate a floating point number to an integral float value.
+Rounds the value toward zero. */)
+ (arg)
register Lisp_Object arg;
{
double d = extract_float (arg);
signal (SIGILL, float_error);
#endif /* BSD_SYSTEM */
+ SIGNAL_THREAD_CHECK (signo);
in_float = 0;
Fsignal (Qarith_error, Fcons (float_error_arg, Qnil));
#endif /* FLOAT_CATCH_SIGILL */
#ifdef HAVE_MATHERR
-int
+int
matherr (x)
struct exception *x;
{
}
#endif /* HAVE_MATHERR */
+void
init_floatfns ()
{
#ifdef FLOAT_CATCH_SIGILL
signal (SIGILL, float_error);
-#endif
+#endif
in_float = 0;
}
-#else /* not LISP_FLOAT_TYPE */
-
-init_floatfns ()
-{}
-
-#endif /* not LISP_FLOAT_TYPE */
-
+void
syms_of_floatfns ()
{
-#ifdef LISP_FLOAT_TYPE
defsubr (&Sacos);
defsubr (&Sasin);
defsubr (&Satan);
defsubr (&Sabs);
defsubr (&Sfloat);
defsubr (&Slogb);
-#endif /* LISP_FLOAT_TYPE */
defsubr (&Sceiling);
defsubr (&Sfloor);
defsubr (&Sround);
defsubr (&Struncate);
}
+
+/* arch-tag: be05bf9d-049e-4e31-91b9-e6153d483ae7
+ (do not change this comment) */