/* Primitive operations on floating point for GNU Emacs Lisp interpreter.
Copyright (C) 1988, 1993, 1994, 1999, 2001, 2002, 2003, 2004,
- 2005, 2006, 2007, 2008 Free Software Foundation, Inc.
+ 2005, 2006, 2007, 2008, 2009, 2010 Free Software Foundation, Inc.
+
+Author: Wolfgang Rupprecht
+(according to ack.texi)
This file is part of GNU Emacs.
#include <config.h>
#include <signal.h>
+#include <setjmp.h>
#include "lisp.h"
#include "syssignal.h"
/* This declaration is omitted on some systems, like Ultrix. */
#if !defined (HPUX) && defined (HAVE_LOGB) && !defined (logb)
-extern double logb ();
+extern double logb (double);
#endif /* not HPUX and HAVE_LOGB and no logb macro */
#if defined(DOMAIN) && defined(SING) && defined(OVERFLOW)
#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. */
-
-#ifdef VMS
-#undef cosh
-#undef sinh
-#define cosh(x) ((exp(x)+exp(-x))*0.5)
-#define sinh(x) ((exp(x)-exp(-x))*0.5)
-#endif /* VMS */
#ifdef FLOAT_CATCH_SIGILL
static SIGTYPE float_error ();
DEFUN ("acos", Facos, Sacos, 1, 1, 0,
doc: /* Return the inverse cosine of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
#ifdef FLOAT_CHECK_DOMAIN
DEFUN ("asin", Fasin, Sasin, 1, 1, 0,
doc: /* Return the inverse sine of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
#ifdef FLOAT_CHECK_DOMAIN
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;
+ (register Lisp_Object y, Lisp_Object x)
{
double d = extract_float (y);
DEFUN ("cos", Fcos, Scos, 1, 1, 0,
doc: /* Return the cosine of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
IN_FLOAT (d = cos (d), "cos", arg);
DEFUN ("sin", Fsin, Ssin, 1, 1, 0,
doc: /* Return the sine of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
IN_FLOAT (d = sin (d), "sin", arg);
DEFUN ("tan", Ftan, Stan, 1, 1, 0,
doc: /* Return the tangent of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
double c = cos (d);
IN_FLOAT (d = sin (d) / c, "tan", arg);
return make_float (d);
}
+
+#if defined HAVE_ISNAN && defined HAVE_COPYSIGN
+DEFUN ("isnan", Fisnan, Sisnan, 1, 1, 0,
+ doc: /* Return non nil iff argument X is a NaN. */)
+ (Lisp_Object x)
+{
+ CHECK_FLOAT (x);
+ return isnan (XFLOAT_DATA (x)) ? Qt : Qnil;
+}
+
+DEFUN ("copysign", Fcopysign, Scopysign, 1, 2, 0,
+ doc: /* Copy sign of X2 to value of X1, and return the result.
+Cause an error if X1 or X2 is not a float. */)
+ (Lisp_Object x1, Lisp_Object x2)
+{
+ double f1, f2;
+
+ CHECK_FLOAT (x1);
+ CHECK_FLOAT (x2);
+
+ f1 = XFLOAT_DATA (x1);
+ f2 = XFLOAT_DATA (x2);
+
+ return make_float (copysign (f1, f2));
+}
+
+DEFUN ("frexp", Ffrexp, Sfrexp, 1, 1, 0,
+ doc: /* Get significand and exponent of a floating point number.
+Breaks the floating point number X into its binary significand SGNFCAND
+\(a floating point value between 0.5 (included) and 1.0 (excluded))
+and an integral exponent EXP for 2, such that:
+
+ X = SGNFCAND * 2^EXP
+
+The function returns the cons cell (SGNFCAND . EXP).
+If X is zero, both parts (SGNFCAND and EXP) are zero. */)
+ (Lisp_Object x)
+{
+ double f = XFLOATINT (x);
+
+ if (f == 0.0)
+ return Fcons (make_float (0.0), make_number (0));
+ else
+ {
+ int exp;
+ double sgnfcand = frexp (f, &exp);
+ return Fcons (make_float (sgnfcand), make_number (exp));
+ }
+}
+
+DEFUN ("ldexp", Fldexp, Sldexp, 1, 2, 0,
+ doc: /* Construct number X from significand SGNFCAND and exponent EXP.
+Returns the floating point value resulting from multiplying SGNFCAND
+(the significand) by 2 raised to the power of EXP (the exponent). */)
+ (Lisp_Object sgnfcand, Lisp_Object exp)
+{
+ CHECK_NUMBER (exp);
+ return make_float (ldexp (XFLOATINT (sgnfcand), XINT (exp)));
+}
+#endif
\f
#if 0 /* Leave these out unless we find there's a reason for them. */
DEFUN ("bessel-j0", Fbessel_j0, Sbessel_j0, 1, 1, 0,
doc: /* Return the bessel function j0 of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
IN_FLOAT (d = j0 (d), "bessel-j0", arg);
DEFUN ("bessel-j1", Fbessel_j1, Sbessel_j1, 1, 1, 0,
doc: /* Return the bessel function j1 of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
IN_FLOAT (d = j1 (d), "bessel-j1", arg);
DEFUN ("bessel-jn", Fbessel_jn, Sbessel_jn, 2, 2, 0,
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;
+ (register Lisp_Object n, Lisp_Object arg)
{
int i1 = extract_float (n);
double f2 = extract_float (arg);
DEFUN ("bessel-y0", Fbessel_y0, Sbessel_y0, 1, 1, 0,
doc: /* Return the bessel function y0 of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
IN_FLOAT (d = y0 (d), "bessel-y0", arg);
DEFUN ("bessel-y1", Fbessel_y1, Sbessel_y1, 1, 1, 0,
doc: /* Return the bessel function y1 of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
IN_FLOAT (d = y1 (d), "bessel-y0", arg);
DEFUN ("bessel-yn", Fbessel_yn, Sbessel_yn, 2, 2, 0,
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;
+ (register Lisp_Object n, Lisp_Object arg)
{
int i1 = extract_float (n);
double f2 = extract_float (arg);
DEFUN ("erf", Ferf, Serf, 1, 1, 0,
doc: /* Return the mathematical error function of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
IN_FLOAT (d = erf (d), "erf", arg);
DEFUN ("erfc", Ferfc, Serfc, 1, 1, 0,
doc: /* Return the complementary error function of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
IN_FLOAT (d = erfc (d), "erfc", arg);
DEFUN ("log-gamma", Flog_gamma, Slog_gamma, 1, 1, 0,
doc: /* Return the log gamma of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
IN_FLOAT (d = lgamma (d), "log-gamma", arg);
DEFUN ("cube-root", Fcube_root, Scube_root, 1, 1, 0,
doc: /* Return the cube root of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
#ifdef HAVE_CBRT
\f
DEFUN ("exp", Fexp, Sexp, 1, 1, 0,
doc: /* Return the exponential base e of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
#ifdef FLOAT_CHECK_DOMAIN
DEFUN ("expt", Fexpt, Sexpt, 2, 2, 0,
doc: /* Return the exponential ARG1 ** ARG2. */)
- (arg1, arg2)
- register Lisp_Object arg1, arg2;
+ (register Lisp_Object arg1, Lisp_Object arg2)
{
double f1, f2, f3;
DEFUN ("log", Flog, Slog, 1, 2, 0,
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;
+ (register Lisp_Object arg, Lisp_Object base)
{
double d = extract_float (arg);
DEFUN ("log10", Flog10, Slog10, 1, 1, 0,
doc: /* Return the logarithm base 10 of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
#ifdef FLOAT_CHECK_DOMAIN
DEFUN ("sqrt", Fsqrt, Ssqrt, 1, 1, 0,
doc: /* Return the square root of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
#ifdef FLOAT_CHECK_DOMAIN
DEFUN ("acosh", Facosh, Sacosh, 1, 1, 0,
doc: /* Return the inverse hyperbolic cosine of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
#ifdef FLOAT_CHECK_DOMAIN
DEFUN ("asinh", Fasinh, Sasinh, 1, 1, 0,
doc: /* Return the inverse hyperbolic sine of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
#ifdef HAVE_INVERSE_HYPERBOLIC
DEFUN ("atanh", Fatanh, Satanh, 1, 1, 0,
doc: /* Return the inverse hyperbolic tangent of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
#ifdef FLOAT_CHECK_DOMAIN
DEFUN ("cosh", Fcosh, Scosh, 1, 1, 0,
doc: /* Return the hyperbolic cosine of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
#ifdef FLOAT_CHECK_DOMAIN
DEFUN ("sinh", Fsinh, Ssinh, 1, 1, 0,
doc: /* Return the hyperbolic sine of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
#ifdef FLOAT_CHECK_DOMAIN
DEFUN ("tanh", Ftanh, Stanh, 1, 1, 0,
doc: /* Return the hyperbolic tangent of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
IN_FLOAT (d = tanh (d), "tanh", arg);
\f
DEFUN ("abs", Fabs, Sabs, 1, 1, 0,
doc: /* Return the absolute value of ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
CHECK_NUMBER_OR_FLOAT (arg);
DEFUN ("float", Ffloat, Sfloat, 1, 1, 0,
doc: /* Return the floating point number equal to ARG. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
CHECK_NUMBER_OR_FLOAT (arg);
DEFUN ("logb", Flogb, Slogb, 1, 1, 0,
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;
+ (Lisp_Object arg)
{
Lisp_Object val;
EMACS_INT value;
/* the rounding functions */
static Lisp_Object
-rounding_driver (arg, divisor, double_round, int_round2, name)
- register Lisp_Object arg, divisor;
- double (*double_round) ();
- EMACS_INT (*int_round2) ();
- char *name;
+rounding_driver (Lisp_Object arg, Lisp_Object divisor,
+ double (*double_round) (double),
+ EMACS_INT (*int_round2) (EMACS_INT, EMACS_INT),
+ char *name)
{
CHECK_NUMBER_OR_FLOAT (arg);
integer functions. */
static EMACS_INT
-ceiling2 (i1, i2)
- EMACS_INT i1, i2;
+ceiling2 (EMACS_INT i1, EMACS_INT i2)
{
return (i2 < 0
? (i1 < 0 ? ((-1 - i1) / -i2) + 1 : - (i1 / -i2))
}
static EMACS_INT
-floor2 (i1, i2)
- EMACS_INT i1, i2;
+floor2 (EMACS_INT i1, EMACS_INT i2)
{
return (i2 < 0
? (i1 <= 0 ? -i1 / -i2 : -1 - ((i1 - 1) / -i2))
}
static EMACS_INT
-truncate2 (i1, i2)
- EMACS_INT i1, i2;
+truncate2 (EMACS_INT i1, EMACS_INT i2)
{
return (i2 < 0
? (i1 < 0 ? -i1 / -i2 : - (i1 / -i2))
}
static EMACS_INT
-round2 (i1, i2)
- EMACS_INT i1, i2;
+round2 (EMACS_INT i1, EMACS_INT i2)
{
/* The C language's division operator gives us one remainder R, but
we want the remainder R1 on the other side of 0 if R1 is closer
#define emacs_rint rint
#else
static double
-emacs_rint (d)
- double d;
+emacs_rint (double d)
{
return floor (d + 0.5);
}
#endif
static double
-double_identity (d)
- double d;
+double_identity (double d)
{
return d;
}
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;
+ (Lisp_Object arg, Lisp_Object divisor)
{
return rounding_driver (arg, divisor, ceil, ceiling2, "ceiling");
}
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;
+ (Lisp_Object arg, Lisp_Object divisor)
{
return rounding_driver (arg, divisor, floor, floor2, "floor");
}
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;
+ (Lisp_Object arg, Lisp_Object divisor)
{
return rounding_driver (arg, divisor, emacs_rint, round2, "round");
}
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;
+ (Lisp_Object arg, Lisp_Object divisor)
{
return rounding_driver (arg, divisor, double_identity, truncate2,
"truncate");
Lisp_Object
-fmod_float (x, y)
- register Lisp_Object x, y;
+fmod_float (Lisp_Object x, Lisp_Object y)
{
double f1, f2;
DEFUN ("fceiling", Ffceiling, Sfceiling, 1, 1, 0,
doc: /* Return the smallest integer no less than ARG, as a float.
\(Round toward +inf.\) */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
IN_FLOAT (d = ceil (d), "fceiling", arg);
DEFUN ("ffloor", Fffloor, Sffloor, 1, 1, 0,
doc: /* Return the largest integer no greater than ARG, as a float.
\(Round towards -inf.\) */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
IN_FLOAT (d = floor (d), "ffloor", arg);
DEFUN ("fround", Ffround, Sfround, 1, 1, 0,
doc: /* Return the nearest integer to ARG, as a float. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
IN_FLOAT (d = emacs_rint (d), "fround", arg);
DEFUN ("ftruncate", Fftruncate, Sftruncate, 1, 1, 0,
doc: /* Truncate a floating point number to an integral float value.
Rounds the value toward zero. */)
- (arg)
- register Lisp_Object arg;
+ (register Lisp_Object arg)
{
double d = extract_float (arg);
if (d >= 0.0)
defsubr (&Scos);
defsubr (&Ssin);
defsubr (&Stan);
+#if defined HAVE_ISNAN && defined HAVE_COPYSIGN
+ defsubr (&Sisnan);
+ defsubr (&Scopysign);
+ defsubr (&Sfrexp);
+ defsubr (&Sldexp);
+#endif
#if 0
defsubr (&Sacosh);
defsubr (&Sasinh);
HCoop / bpt / emacs.git / blobdiff