the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. */
+/* ANSI C requires only these float functions:
+ acos, asin, atan, atan2, ceil, cos, cosh, exp, fabs, floor, fmod,
+ frexp, ldexp, log, log10, modf, pow, sin, sinh, sqrt, tan, tanh.
+
+ 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.
+ 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.
+ (This should happen automatically.)
+
+ Define FLOAT_CHECK_ERRNO if the float library routines set errno.
+ This has no effect if HAVE_MATHERR is defined.
+
+ Define FLOAT_CATCH_SIGILL if the float library routines signal SIGILL.
+ (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
+ 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 <signal.h>
#include "config.h"
#ifdef LISP_FLOAT_TYPE
#include <math.h>
-#include <errno.h>
+
+#if defined(DOMAIN) && defined(SING) && defined(OVERFLOW)
+ /* If those are defined, then this is probably a `matherr' machine. */
+# ifndef HAVE_MATHERR
+# define HAVE_MATHERR
+# endif
+#endif
+
+#ifdef HAVE_MATHERR
+# ifdef FLOAT_CHECK_ERRNO
+# undef FLOAT_CHECK_ERRNO
+# endif
+# ifdef FLOAT_CHECK_DOMAIN
+# undef FLOAT_CHECK_DOMAIN
+# endif
+#endif
+
+#ifndef NO_FLOAT_CHECK_ERRNO
+#define FLOAT_CHECK_ERRNO
+#endif
+
+#ifdef FLOAT_CHECK_ERRNO
+# include <errno.h>
extern int errno;
+#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 */
+#ifndef HAVE_RINT
+#define rint(x) (floor((x)+0.5))
+#endif
+
static SIGTYPE float_error ();
/* Nonzero while executing in floating point.
/* If an argument is out of range for a mathematical function,
here is the actual argument value to use in the error message. */
-static Lisp_Object float_error_arg;
+static Lisp_Object float_error_arg, float_error_arg2;
+
+static char *float_error_fn_name;
/* Evaluate the floating point expression D, recording NUM
as the original argument for error messages.
just cast the zero after the colon to (SIGTYPE) to make the types
check properly. */
-#define IN_FLOAT(D, NUM) \
-(in_float = 1, errno = 0, float_error_arg = NUM, (D), \
- (errno == ERANGE || errno == EDOM ? (float_error (),0) : 0), \
- in_float = 0)
+#ifdef FLOAT_CHECK_ERRNO
+#define IN_FLOAT(d, name, num) \
+ do { \
+ float_error_arg = num; \
+ float_error_fn_name = name; \
+ in_float = 1; errno = 0; (d); in_float = 0; \
+ switch (errno) { \
+ case 0: break; \
+ case EDOM: domain_error (float_error_fn_name, float_error_arg); \
+ case ERANGE: range_error (float_error_fn_name, float_error_arg); \
+ default: arith_error (float_error_fn_name, float_error_arg); \
+ } \
+ } while (0)
+#define IN_FLOAT2(d, name, num, num2) \
+ do { \
+ float_error_arg = num; \
+ float_error_arg2 = num2; \
+ float_error_fn_name = name; \
+ in_float = 1; errno = 0; (d); in_float = 0; \
+ switch (errno) { \
+ case 0: break; \
+ case EDOM: domain_error (float_error_fn_name, float_error_arg); \
+ case ERANGE: range_error (float_error_fn_name, float_error_arg); \
+ default: arith_error (float_error_fn_name, float_error_arg); \
+ } \
+ } while (0)
+#else
+#define IN_FLOAT2(d, name, num, num2) (in_float = 1, (d), in_float = 0)
+#endif
+
+#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 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))))
/* Extract a Lisp number as a `double', or signal an error. */
DEFUN ("acos", Facos, Sacos, 1, 1, 0,
"Return the inverse cosine of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = acos (d), num);
+ double d = extract_float (arg);
+#ifdef FLOAT_CHECK_DOMAIN
+ if (d > 1.0 || d < -1.0)
+ domain_error ("acos", arg);
+#endif
+ IN_FLOAT (d = acos (d), "acos", arg);
return make_float (d);
}
DEFUN ("asin", Fasin, Sasin, 1, 1, 0,
"Return the inverse sine of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = asin (d), num);
+ double d = extract_float (arg);
+#ifdef FLOAT_CHECK_DOMAIN
+ if (d > 1.0 || d < -1.0)
+ domain_error ("asin", arg);
+#endif
+ IN_FLOAT (d = asin (d), "asin", arg);
return make_float (d);
}
DEFUN ("atan", Fatan, Satan, 1, 1, 0,
"Return the inverse tangent of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = atan (d), num);
+ double d = extract_float (arg);
+ IN_FLOAT (d = atan (d), "atan", arg);
return make_float (d);
}
DEFUN ("cos", Fcos, Scos, 1, 1, 0,
"Return the cosine of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = cos (d), num);
+ double d = extract_float (arg);
+ IN_FLOAT (d = cos (d), "cos", arg);
return make_float (d);
}
DEFUN ("sin", Fsin, Ssin, 1, 1, 0,
"Return the sine of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = sin (d), num);
+ double d = extract_float (arg);
+ IN_FLOAT (d = sin (d), "sin", arg);
return make_float (d);
}
DEFUN ("tan", Ftan, Stan, 1, 1, 0,
"Return the tangent of ARG.")
- (num)
- register Lisp_Object num;
-{
- double d = extract_float (num);
- IN_FLOAT (d = tan (d), num);
+ (arg)
+ register Lisp_Object arg;
+{
+ double d = extract_float (arg);
+ double c = cos (d);
+#ifdef FLOAT_CHECK_DOMAIN
+ if (c == 0.0)
+ domain_error ("tan", arg);
+#endif
+ IN_FLOAT (d = sin (d) / c, "tan", arg);
return make_float (d);
}
\f
DEFUN ("bessel-j0", Fbessel_j0, Sbessel_j0, 1, 1, 0,
"Return the bessel function j0 of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = j0 (d), num);
+ double d = extract_float (arg);
+ IN_FLOAT (d = j0 (d), "bessel-j0", arg);
return make_float (d);
}
DEFUN ("bessel-j1", Fbessel_j1, Sbessel_j1, 1, 1, 0,
"Return the bessel function j1 of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = j1 (d), num);
+ double d = extract_float (arg);
+ IN_FLOAT (d = j1 (d), "bessel-j1", arg);
return make_float (d);
}
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.")
- (num1, num2)
- register Lisp_Object num1, num2;
+ (arg1, arg2)
+ register Lisp_Object arg1, arg2;
{
- int i1 = extract_float (num1);
- double f2 = extract_float (num2);
+ int i1 = extract_float (arg1);
+ double f2 = extract_float (arg2);
- IN_FLOAT (f2 = jn (i1, f2), num1);
+ IN_FLOAT (f2 = jn (i1, f2), "bessel-jn", arg1);
return make_float (f2);
}
DEFUN ("bessel-y0", Fbessel_y0, Sbessel_y0, 1, 1, 0,
"Return the bessel function y0 of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = y0 (d), num);
+ double d = extract_float (arg);
+ IN_FLOAT (d = y0 (d), "bessel-y0", arg);
return make_float (d);
}
DEFUN ("bessel-y1", Fbessel_y1, Sbessel_y1, 1, 1, 0,
"Return the bessel function y1 of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = y1 (d), num);
+ double d = extract_float (arg);
+ IN_FLOAT (d = y1 (d), "bessel-y0", arg);
return make_float (d);
}
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.")
- (num1, num2)
- register Lisp_Object num1, num2;
+ (arg1, arg2)
+ register Lisp_Object arg1, arg2;
{
- int i1 = extract_float (num1);
- double f2 = extract_float (num2);
+ int i1 = extract_float (arg1);
+ double f2 = extract_float (arg2);
- IN_FLOAT (f2 = yn (i1, f2), num1);
+ IN_FLOAT (f2 = yn (i1, f2), "bessel-yn", arg1);
return make_float (f2);
}
DEFUN ("erf", Ferf, Serf, 1, 1, 0,
"Return the mathematical error function of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = erf (d), num);
+ double d = extract_float (arg);
+ IN_FLOAT (d = erf (d), "erf", arg);
return make_float (d);
}
DEFUN ("erfc", Ferfc, Serfc, 1, 1, 0,
"Return the complementary error function of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = erfc (d), num);
+ double d = extract_float (arg);
+ IN_FLOAT (d = erfc (d), "erfc", arg);
return make_float (d);
}
DEFUN ("log-gamma", Flog_gamma, Slog_gamma, 1, 1, 0,
"Return the log gamma of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = lgamma (d), num);
+ double d = extract_float (arg);
+ IN_FLOAT (d = lgamma (d), "log-gamma", arg);
return make_float (d);
}
-DEFUN ("cbrt", Fcbrt, Scbrt, 1, 1, 0,
+DEFUN ("cube-root", Fcube_root, Scube_root, 1, 1, 0,
"Return the cube root of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = cbrt (d), num);
+ double d = extract_float (arg);
+#ifdef HAVE_CBRT
+ IN_FLOAT (d = cbrt (d), "cube-root", arg);
+#else
+ if (d >= 0.0)
+ IN_FLOAT (d = pow (d, 1.0/3.0), "cube-root", arg);
+ else
+ IN_FLOAT (d = -pow (-d, 1.0/3.0), "cube-root", arg);
+#endif
return make_float (d);
}
\f
DEFUN ("exp", Fexp, Sexp, 1, 1, 0,
"Return the exponential base e of ARG.")
- (num)
- register Lisp_Object num;
-{
- double d = extract_float (num);
- IN_FLOAT (d = exp (d), num);
+ (arg)
+ register Lisp_Object arg;
+{
+ double d = extract_float (arg);
+#ifdef FLOAT_CHECK_DOMAIN
+ if (d > 709.7827) /* Assume IEEE doubles here */
+ range_error ("exp", arg);
+ else if (d < -709.0)
+ return make_float (0.0);
+ else
+#endif
+ IN_FLOAT (d = exp (d), "exp", arg);
return make_float (d);
}
DEFUN ("expt", Fexpt, Sexpt, 2, 2, 0,
"Return the exponential X ** Y.")
- (num1, num2)
- register Lisp_Object num1, num2;
+ (arg1, arg2)
+ register Lisp_Object arg1, arg2;
{
double f1, f2;
- CHECK_NUMBER_OR_FLOAT (num1, 0);
- CHECK_NUMBER_OR_FLOAT (num2, 0);
- if ((XTYPE (num1) == Lisp_Int) && /* common lisp spec */
- (XTYPE (num2) == Lisp_Int)) /* don't promote, if both are ints */
+ 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 */
{ /* this can be improved by pre-calculating */
int acc, x, y; /* some binary powers of x then acumulating */
/* these, therby saving some time. -wsr */
- x = XINT (num1);
- y = XINT (num2);
+ x = XINT (arg1);
+ y = XINT (arg2);
acc = 1;
if (y < 0)
{
- for (; y < 0; y++)
- acc /= x;
+ if (x == 1)
+ acc = 1;
+ else if (x == -1)
+ acc = (y & 1) ? -1 : 1;
+ else
+ acc = 0;
}
else
{
for (; y > 0; y--)
- acc *= x;
+ while (y > 0)
+ {
+ if (y & 1)
+ acc *= x;
+ x *= x;
+ y = (unsigned)y >> 1;
+ }
}
- XFASTINT (x) = acc;
+ XSET (x, Lisp_Int, acc);
return x;
}
- f1 = (XTYPE (num1) == Lisp_Float) ? XFLOAT (num1)->data : XINT (num1);
- f2 = (XTYPE (num2) == Lisp_Float) ? XFLOAT (num2)->data : XINT (num2);
- IN_FLOAT (f1 = pow (f1, f2), num1);
+ f1 = (XTYPE (arg1) == Lisp_Float) ? XFLOAT (arg1)->data : XINT (arg1);
+ f2 = (XTYPE (arg2) == Lisp_Float) ? XFLOAT (arg2)->data : XINT (arg2);
+ /* Really should check for overflow, too */
+ if (f1 == 0.0 && f2 == 0.0)
+ f1 = 1.0;
+#ifdef FLOAT_CHECK_DOMAIN
+ 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);
return make_float (f1);
}
DEFUN ("log", Flog, Slog, 1, 2, 0,
- "Return the natural logarithm of NUM.\n\
-If second optional argument BASE is given, return log NUM using that base.")
- (num, base)
- register Lisp_Object num, base;
+ "Return the natural logarithm of ARG.\n\
+If second optional argument BASE is given, return log ARG using that base.")
+ (arg, base)
+ register Lisp_Object arg, base;
{
- double d = extract_float (num);
+ double d = extract_float (arg);
+#ifdef FLOAT_CHECK_DOMAIN
+ if (d <= 0.0)
+ domain_error2 ("log", arg, base);
+#endif
if (NILP (base))
- IN_FLOAT (d = log (d), num);
+ IN_FLOAT (d = log (d), "log", arg);
else
{
double b = extract_float (base);
- IN_FLOAT (d = log (num) / log (b), num);
+#ifdef FLOAT_CHECK_DOMAIN
+ if (b <= 0.0 || b == 1.0)
+ domain_error2 ("log", arg, base);
+#endif
+ if (b == 10.0)
+ IN_FLOAT2 (d = log10 (d), "log", arg, base);
+ else
+ IN_FLOAT2 (d = log (arg) / log (b), "log", arg, base);
}
return make_float (d);
}
DEFUN ("log10", Flog10, Slog10, 1, 1, 0,
"Return the logarithm base 10 of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = log10 (d), num);
+ double d = extract_float (arg);
+#ifdef FLOAT_CHECK_DOMAIN
+ if (d <= 0.0)
+ domain_error ("log10", arg);
+#endif
+ IN_FLOAT (d = log10 (d), "log10", arg);
return make_float (d);
}
DEFUN ("sqrt", Fsqrt, Ssqrt, 1, 1, 0,
"Return the square root of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = sqrt (d), num);
+ double d = extract_float (arg);
+#ifdef FLOAT_CHECK_DOMAIN
+ if (d < 0.0)
+ domain_error ("sqrt", arg);
+#endif
+ IN_FLOAT (d = sqrt (d), "sqrt", arg);
return make_float (d);
}
\f
DEFUN ("acosh", Facosh, Sacosh, 1, 1, 0,
"Return the inverse hyperbolic cosine of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = acosh (d), num);
+ double d = extract_float (arg);
+#ifdef FLOAT_CHECK_DOMAIN
+ if (d < 1.0)
+ domain_error ("acosh", arg);
+#endif
+#ifdef HAVE_INVERSE_HYPERBOLIC
+ IN_FLOAT (d = acosh (d), "acosh", arg);
+#else
+ IN_FLOAT (d = log (d + sqrt (d*d - 1.0)), "acosh", arg);
+#endif
return make_float (d);
}
DEFUN ("asinh", Fasinh, Sasinh, 1, 1, 0,
"Return the inverse hyperbolic sine of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = asinh (d), num);
+ double d = extract_float (arg);
+#ifdef HAVE_INVERSE_HYPERBOLIC
+ IN_FLOAT (d = asinh (d), "asinh", arg);
+#else
+ IN_FLOAT (d = log (d + sqrt (d*d + 1.0)), "asinh", arg);
+#endif
return make_float (d);
}
DEFUN ("atanh", Fatanh, Satanh, 1, 1, 0,
"Return the inverse hyperbolic tangent of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = atanh (d), num);
+ double d = extract_float (arg);
+#ifdef FLOAT_CHECK_DOMAIN
+ if (d >= 1.0 || d <= -1.0)
+ domain_error ("atanh", arg);
+#endif
+#ifdef HAVE_INVERSE_HYPERBOLIC
+ IN_FLOAT (d = atanh (d), "atanh", arg);
+#else
+ IN_FLOAT (d = 0.5 * log ((1.0 + d) / (1.0 - d)), "atanh", arg);
+#endif
return make_float (d);
}
DEFUN ("cosh", Fcosh, Scosh, 1, 1, 0,
"Return the hyperbolic cosine of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = cosh (d), num);
+ double d = extract_float (arg);
+#ifdef FLOAT_CHECK_DOMAIN
+ if (d > 710.0 || d < -710.0)
+ range_error ("cosh", arg);
+#endif
+ IN_FLOAT (d = cosh (d), "cosh", arg);
return make_float (d);
}
DEFUN ("sinh", Fsinh, Ssinh, 1, 1, 0,
"Return the hyperbolic sine of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = sinh (d), num);
+ double d = extract_float (arg);
+#ifdef FLOAT_CHECK_DOMAIN
+ if (d > 710.0 || d < -710.0)
+ range_error ("sinh", arg);
+#endif
+ IN_FLOAT (d = sinh (d), "sinh", arg);
return make_float (d);
}
DEFUN ("tanh", Ftanh, Stanh, 1, 1, 0,
"Return the hyperbolic tangent of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- double d = extract_float (num);
- IN_FLOAT (d = tanh (d), num);
+ double d = extract_float (arg);
+ IN_FLOAT (d = tanh (d), "tanh", arg);
return make_float (d);
}
#endif
\f
DEFUN ("abs", Fabs, Sabs, 1, 1, 0,
"Return the absolute value of ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- CHECK_NUMBER_OR_FLOAT (num, 0);
+ CHECK_NUMBER_OR_FLOAT (arg, 0);
- if (XTYPE (num) == Lisp_Float)
- IN_FLOAT (num = make_float (fabs (XFLOAT (num)->data)), num);
- else if (XINT (num) < 0)
- XSETINT (num, - XFASTINT (num));
+ if (XTYPE (arg) == Lisp_Float)
+ IN_FLOAT (arg = make_float (fabs (XFLOAT (arg)->data)), "abs", arg);
+ else if (XINT (arg) < 0)
+ XSETINT (arg, - XFASTINT (arg));
- return num;
+ return arg;
}
DEFUN ("float", Ffloat, Sfloat, 1, 1, 0,
"Return the floating point number equal to ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- CHECK_NUMBER_OR_FLOAT (num, 0);
+ CHECK_NUMBER_OR_FLOAT (arg, 0);
- if (XTYPE (num) == Lisp_Int)
- return make_float ((double) XINT (num));
+ if (XTYPE (arg) == Lisp_Int)
+ return make_float ((double) XINT (arg));
else /* give 'em the same float back */
- return num;
+ return arg;
}
DEFUN ("logb", Flogb, Slogb, 1, 1, 0,
"Returns the integer that is the base 2 log of ARG.\n\
This is the same as the exponent of a float.")
- (num)
-Lisp_Object num;
+ (arg)
+ Lisp_Object arg;
{
/* System V apparently doesn't have a `logb' function. It might be
better to use it on systems that have it, but Ultrix (at least)
doesn't declare it properly in <math.h>; does anyone really care? */
- return Flog (num, make_number (2));
+ return Flog (arg, make_number (2));
}
/* the rounding functions */
DEFUN ("ceiling", Fceiling, Sceiling, 1, 1, 0,
"Return the smallest integer no less than ARG. (Round toward +inf.)")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- CHECK_NUMBER_OR_FLOAT (num, 0);
+ CHECK_NUMBER_OR_FLOAT (arg, 0);
- if (XTYPE (num) == Lisp_Float)
- IN_FLOAT (XSET (num, Lisp_Int, ceil (XFLOAT (num)->data)), num);
+ if (XTYPE (arg) == Lisp_Float)
+ IN_FLOAT (XSET (arg, Lisp_Int, ceil (XFLOAT (arg)->data)), "celing", arg);
- return num;
+ return arg;
}
DEFUN ("floor", Ffloor, Sfloor, 1, 1, 0,
"Return the largest integer no greater than ARG. (Round towards -inf.)")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- CHECK_NUMBER_OR_FLOAT (num, 0);
+ CHECK_NUMBER_OR_FLOAT (arg, 0);
- if (XTYPE (num) == Lisp_Float)
- IN_FLOAT (XSET (num, Lisp_Int, floor (XFLOAT (num)->data)), num);
+ if (XTYPE (arg) == Lisp_Float)
+ IN_FLOAT (XSET (arg, Lisp_Int, floor (XFLOAT (arg)->data)), "floor", arg);
- return num;
+ return arg;
}
DEFUN ("round", Fround, Sround, 1, 1, 0,
"Return the nearest integer to ARG.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- CHECK_NUMBER_OR_FLOAT (num, 0);
+ CHECK_NUMBER_OR_FLOAT (arg, 0);
- if (XTYPE (num) == Lisp_Float)
- {
- /* Screw the prevailing rounding mode. */
- IN_FLOAT (XSET (num, Lisp_Int, floor (XFLOAT (num)->data + 0.5)), num);
-
- /* It used to be that on non-USG systems we'd use the `rint'
- function. But that seems not to be declared properly in
- <math.h> on Ultrix, I don't want to declare it myself because
- that might conflict with <math.h> on other systems, and I
- don't see what's wrong with the code above anyway. */
- }
+ if (XTYPE (arg) == Lisp_Float)
+ /* Screw the prevailing rounding mode. */
+ IN_FLOAT (XSET (arg, Lisp_Int, rint (XFLOAT (arg)->data)), "round", arg);
- return num;
+ return arg;
}
DEFUN ("truncate", Ftruncate, Struncate, 1, 1, 0,
"Truncate a floating point number to an int.\n\
Rounds the value toward zero.")
- (num)
- register Lisp_Object num;
+ (arg)
+ register Lisp_Object arg;
{
- CHECK_NUMBER_OR_FLOAT (num, 0);
+ CHECK_NUMBER_OR_FLOAT (arg, 0);
- if (XTYPE (num) == Lisp_Float)
- XSET (num, Lisp_Int, (int) XFLOAT (num)->data);
+ if (XTYPE (arg) == Lisp_Float)
+ XSET (arg, Lisp_Int, (int) XFLOAT (arg)->data);
+
+ return arg;
+}
+\f
+#if 0
+/* 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)
+ register Lisp_Object arg;
+{
+ double d = extract_float (arg);
+ IN_FLOAT (d = ceil (d), "fceiling", arg);
+ return make_float (d);
+}
+
+DEFUN ("ffloor", Fffloor, Sffloor, 1, 1, 0,
+ "Return the largest integer no greater than ARG, as a float.\n\
+\(Round towards -inf.\)")
+ (arg)
+ register Lisp_Object arg;
+{
+ double d = extract_float (arg);
+ IN_FLOAT (d = floor (d), "ffloor", arg);
+ return make_float (d);
+}
- return num;
+DEFUN ("fround", Ffround, Sfround, 1, 1, 0,
+ "Return the nearest integer to ARG, as a float.")
+ (arg)
+ register Lisp_Object arg;
+{
+ double d = extract_float (arg);
+ IN_FLOAT (d = rint (XFLOAT (arg)->data), "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)
+ register Lisp_Object arg;
+{
+ double d = extract_float (arg);
+ if (d >= 0.0)
+ IN_FLOAT (d = floor (d), "ftruncate", arg);
+ else
+ IN_FLOAT (d = ceil (d), arg);
+ return make_float (d);
}
+#endif
\f
+#ifdef FLOAT_CATCH_SIGILL
static SIGTYPE
float_error (signo)
int signo;
Fsignal (Qarith_error, Fcons (float_error_arg, Qnil));
}
+/* Another idea was to replace the library function `infnan'
+ where SIGILL is signaled. */
+
+#endif /* FLOAT_CATCH_SIGILL */
+
+#ifdef HAVE_MATHERR
+int
+matherr (x)
+ struct exception *x;
+{
+ Lisp_Object args;
+ if (! in_float)
+ /* Not called from emacs-lisp float routines; do the default thing. */
+ return 0;
+ if (!strcmp (x->name, "pow"))
+ x->name = "expt";
+
+ args
+ = Fcons (build_string (x->name),
+ Fcons (make_float (x->arg1),
+ ((!strcmp (x->name, "log") || !strcmp (x->name, "pow"))
+ ? Fcons (make_float (x->arg2), Qnil)
+ : Qnil)));
+ switch (x->type)
+ {
+ case DOMAIN: Fsignal (Qdomain_error, args); break;
+ case SING: Fsignal (Qsingularity_error, args); break;
+ case OVERFLOW: Fsignal (Qoverflow_error, args); break;
+ case UNDERFLOW: Fsignal (Qunderflow_error, args); break;
+ default: Fsignal (Qarith_error, args); break;
+ }
+ return (1); /* don't set errno or print a message */
+}
+#endif /* HAVE_MATHERR */
+
init_floatfns ()
{
+#ifdef FLOAT_CATCH_SIGILL
signal (SIGILL, float_error);
+#endif
in_float = 0;
}
defsubr (&Serf);
defsubr (&Serfc);
defsubr (&Slog_gamma);
- defsubr (&Scbrt);
+ defsubr (&Scube_root);
+ defsubr (&Sfceiling);
+ defsubr (&Sffloor);
+ defsubr (&Sfround);
+ defsubr (&Sftruncate);
#endif
defsubr (&Sexp);
defsubr (&Sexpt);